Q4. The diagram shows a triangle inside a rectangle.
2x
All measurements are given in centimetres.
Show that the total area, in cm², of the shaded regions is 18x - 30
3x-5
Diagram NOT
accurately drawn

Q4. The Diagram Shows A Triangle Inside A Rectangle.2xAll Measurements Are Given In Centimetres.Show

Answers

Answer 1

The prove to show that the area of the shaded portion is 18x  - 30 is as follows: 3x² + 13x - 30 - 3x² + 5x = 18x  - 30

How to find the area of the shaded region?

The area of the shaded region can be represented as follows:

area of the shaded region = area of rectangle - area of triangle

Therefore,

area of the rectangle = (x + 6)(3x - 5)

area of the rectangle = 3x² - 5x + 18x - 30

area of the rectangle = 3x² + 13x - 30

area of triangle = 1 / 2 × 2x × 3x - 5

area of triangle = 3x² - 5x

Therefore,

area of the shaded portion =  3x² + 13x - 30 - 3x² + 5x

area of the shaded portion = 18x  - 30

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Related Questions

There is 1/2 of a pizza left for 4 friends to share. What fraction of a pizza will each friend get to eat?

Answers

1/8, if you want to check that answer do 1/8 times the 4 friends and that will give you the 1/2 pizza you have left

Answer:

12.5% is the answer.

Step-by-step explanation:

Which equation shows an example of the associative property of addition?

Answers

Answer:

(2+3)+4 = 2+(3+4) this is an example of associative property

Jane had $5.00, then spent $2.00. How much does she have now?

Answers

Answer:

$3.00

Step-by-step explanation:

$5.00 = 5

$2.00 = 2

5

-2

_

3

3 = $3.00

Answer:

$3.00

Step-by-step explanation:

You deposit $4000 in an account earning 7% interest compounded continuously. How much will you have in the account in 10 years?

Answers

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$4000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &10 \end{cases} \\\\\\ A=4000e^{0.07\cdot 10}\implies A=4000e^{0.7}\implies A\approx 8055.01[/tex]

please helb it is very hadr

Answers

Answer:

a=15.7mm2,31.4

b=18.84in2,37.68

In the expression 67.8046 8.264 - 243.5, all of the numbers are measured quantities and have the same units. Evaluate this expression to the correct number of significant figures.

Answers

The result of evaluating 67.8046 + 8.264 - 243.5 is -167.431

How to evaluate the expression?

The expression is given as:

67.8046 + 8.264 - 243.5

The highest number of significant figures in the expression is 6 (i.e. 67.8046)

This means that the result must be in 6 significant figures.

Next, we evaluate the expression as follows:

67.8046 + 8.264 - 243.5 = -167.4314

Approximate to 6 significant figures.

67.8046 + 8.264 - 243.5 = -167.431

Hence, the result of evaluating 67.8046 + 8.264 - 243.5 is -167.431

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Diberi 1 ½s = ⅗t² + ⅓u², hitung (ii) nilai t apabila u = -6 dan s = 28​

Answers

Answer:

√2' = t

Step-by-step explanation:

1 1/2s = 3/5t^2 + 1/3u^2; substitute known values

1 1/2 • 28 = 3/5 • t^2 + 1/3 • -6^2; simplify

42 = 3 • t^2 ÷ 5 + 1/3 • 36

42 = 3 • t^2 ÷ 5 + 12; apply property of subtraction of equality

42 – 12 = 3t^2 ÷ 5 + 12 – 12; simplify

30 = 3t^2 ÷ 5; apply property of multiplication of equality

30 • 5 = 3t^2 ÷ 5 • 5; simplify

6 = 3t^2; apply property of division of equality

6 ÷ 3 = 3t^2 ÷ 3; simplify

2 = t^2

√2' = t

evaluate for f(6), show all work

Answers

Answer:

32

Step-by-step explanation:

f(6)=6^2-4

f(6)=36-4

f(6)=32

Answer:

f(6)=32

Step-by-step explanation:f(6)=6^2 -4

f(6)=36-4

f(6)=32

To which quadrants is tan^-1 x restricted?

A. Quadrants I and IV

B. Quadrants III and IV

C. Quadrants II and III

Answers

The quadrants is tan⁻¹x restricted is A. Quadrants I and IV

To answer the question, we need to know what tan⁻¹x is.

What is tan⁻¹x?

tan⁻¹x is the inverse trigonometric function of tanx, which is the value of the angle for tanx.

Quadrant in which tan⁻¹x is restricted

To find the quadrants in which tan⁻¹x is restricted, we know that tanx lies in the range

-∞ ≤ tanx ≤ +∞ for -90° ≤ x ≤ 90°.

Since the inverse function of tanx is x.tan⁻¹x lies between -90° and 90°. That is -90° ≤ tan⁻¹x ≤ 90°.Since 90° lies in  first quadrant and -90° lies in the fourth quadrant

tan⁻¹x lies between quadrant I and IV

So, the quadrants is tan⁻¹x restricted is A. Quadrants I and IV

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Work out the circumference of this circle.
Give your answer in terms of pi and state its units

Answers

Answer:

14π cm

Step-by-step explanation:

Circumference of a circle given the diameter is :

πd

We simply substitute the value given in the image into our formula to find our answer:

πd = π×14 = 14π

Units will be cm as circumference is a length

This is our final answer as the question states to leave it in pi form .

Hope this helped and brainliest please

Answer:

14π cm

Step-by-step explanation:

Circumference of a circle with radius r = 2πr or 2rπ

The diameter d is twice the radius so circumference = dπ

Here d= 14 so the answer is 14π cm

What is the greatest common factor of
15x^7y^5+5x^5y^4-20x^6y

Answers

Answer:

5x^5y

Step-by-step explanation:

Please help on the area for 7 8 9 please all i need help is

Answers

The area of the equilateral, isosceles and right angled triangle are 12.6mm², 9.61in² and 16.81yds² respectively.

What is the area of the equilateral, isosceles and right angle triangle?

Note that:

The area of an Equilateral triangle is expressed as A = ((√3)/4)a²

Where a is the dimension of the side.

The area of an Isosceles triangle is expressed as A = (ah)/2

Where a is the dimension of the base and h is the height.

The area of a Right angled triangle is expressed as A = (ab)/2

Where a and b is the dimension of the two sides other than the hypotenuse.

For the Equilateral triangle.

Given that;

a = 5.4mmArea A = ?

A = ((√3)/4)(5.4mm)²

A = ((√3)/4)( 29.16mm² )

A = 12.6mm²

Area of the Equilateral triangle is 12.6mm²

For the Isosceles triangle.

Given that;

Base a = 3.4inSlant height b = 5.9inheight h = ?Area A = ?

The height h is the imaginary line drawn upward from the center of a.

First, we calculate the height using Pythagorean theorem

x² = y² + z²

Where x = b = 5.9in, y = a/2 = 3.4in/2 = 1.7in, and z = h

(5.9in)² = (1.7in)² + h²

34.81in² = 2.89in² + h²

h² = 34.81in² - 2.89in²

h² = 31.92in²

h = √31.92in²

h = 5.65in

Now, the area will be;

A = (ah)/2

A = (3.4in × 5.65in )/2

A = 19.21in²/2

A = 9.61in²

Area of the Isosceles triangle is 9.61in².

For the Right angled triangle

Given that;

a = 8.2ydsb = 4.1ydsc = 9.17ydsArea A = ?

A = (ab)/2

A = ( 8.2yds × 4.1yds)/2

A = ( 33.62yds²)/2

A = 16.81yds²

Area of the Right angled triangle is 16.81yds²

Therefore, the area of the equilateral, isosceles and right angled triangle are 12.6mm², 9.61in² and 16.81yds² respectively.

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The mean age of a group of students is 16. John joins the group and the mean age changes to 18. How old is john ?

Answers

Answer:

John is 20 years old.

Step-by-step explanation:

Given the second mean is 18, it is equal to the first mean age plus John's unknown age. The sum is also divided by 2 because there are 2 values in the sum (1. John's age and 2. the mean, 16 yrs old).

Set up an equation: [tex]\frac{x+16}{2}=18[/tex]

multiply both sides by 2: [tex]x+16=36[/tex]

simplify: [tex]x=20[/tex]

the number 2.525252.... can be written as a fraction, when reduced to its lowest term, the sum of numerator and denominator is:

Answers

Answer:

Here's your answer.

Let the number be x.

Here we have to multiply with 100 on both sides.

[tex] \implies \: 100x = 252.5252 \\ \\ \implies \: 100x = 250 \ + 2.5252... \\ \\ \implies \: 100x = 250 + x \\ \\ \implies \: 99x = 250 \\ \\ \implies \: x = \frac{250}{99} [/tex]

Therefore, sum of numerator and denominator = 25099 = 349

Hope it helps you from my side

Answer:

349

Step-by-step explanation:

2.525252.... is a non-terminating and recurring number.

2.525252.... can be expressed as [tex]2.\overline {52}[/tex]

Now, we convert [tex]2.\overline {52}[/tex] as a fractional number. Lets start.

[tex]Let \: x =2.\overline {52}[/tex]........(1)

Multiply both sides of eq (1) by 100, we find:

[tex]100x =252.\overline {52}[/tex]........(2)

Subtracting (2) from (1)

[tex]100x -x=252.\overline {52}-2.\overline {52}[/tex]

[tex]\implies 99x=250[/tex]

[tex]\implies x=\frac{250}{99}[/tex]

Numerator = 250

Denominator = 99

Sum of numerator and denominator = 250 + 99 = 349

1. In a sample of 800 students in BNHS, 160, or
20%, are Grade 7 students Based on the above
information, the school's paper reported that "20% of
all the students at BNHS are grade 7." This report is
an example ofIn a sample of 800 students in BNHS, 160, or
20%, are Grade 7 students Based on the above
information, the school's paper reported that "20% of
all the students at BNHS are grade 7." This report is
an example of

a. a sample
b. a population
c. statistical inference
d. descriptive statistics

19.. A statistics professor asked students in a class
their ages. On the basis of this information, the
professor states that the average age of all the
students in the university is 21 years. This is an
example of
a. a census
b. descriptive statistics
c. an experiment
d. statistical inference

20. A tabular summary of a set of data showing the
fraction of the total number of items in several classes
is a
a. frequency distribution
b. relative frequency distribution
c. frequency
d. cumulative frequency distribution

Answers

Answer:

1. c. statistical inference

19. d. statistical inference

20. b. relative frequency distribution

Find the equation of the line in slope-intercept form containing the two points: (−1,5) and )(4,−3) Leave equation in fractional form.

Answers

Answer:

y = 1.6x + 3.4

Step-by-step explanation:

We have to use the equation y = m x + c to find the equation of the line.

Here,

m ⇒ slope

c ⇒ y-intercept

First, let us find the slope.

For that, we can use the given two coordinates.

( -1 , 5 ) ⇒ ( x₁ , y₁ )

( 4 , -3 )  ⇒ ( x₂ , y₂ )

The formula to find the slope of a line is :

m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )

Let us solve now.

m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )

m = ( 5 - ( -3 ) ) ÷ ( -1 - 4 )

m = ( 5 + 3 ) ÷ -5

m = 8 ÷ -5

m = -1.6

Now let us find the y-intercept (c ) of the line.

For that, let us get one of the coordinates which are given in the question.

I'll get ( -1 , 5 ) from  that.

( -1 , 5 ) ⇒ ( x , y )

Let us solve now.

y = mx + c

5 = -1.6 × -1 + c

5 = 1.6 + c

5 - 1.6 = c

3.4 = c

Therefore,

m ⇒ -1.6

c ⇒ 3.4

So, the equation of the line is :

y = mx + c

y = 1.6x + 3.4

use a number line to find the product.

5 x (-5)

a. -25
b. 25
c. 10
d. 0

Answers

Answer: a. -25

Step-by-step explanation:

1. Multiply the numbers

5x(−5)

Solution

−25x

These graphs depict the price and output levels of apples under perfect competition and monopoly market structures. what is the extra amount that mary would pay for apples under a monopoly instead of a perfect competition? a. $2 b. $3 c. $4 d. $5 e. $6

Answers

The extra amount that Mary would pay for apples under a monopoly instead of perfect competition is B. $3

Calculations and Parameters:

From the complete information,

There are images of the prices that can be gotten under a monopoly and the ones that can be gotten in a perfect competition by Mary.

The marginal cost which is graphed against the pound of apples and the price shows Mary would pay $15 and the marginal revenue shows that Mary would pay $12.

Hence, the difference between them, which is the extra amount to be paid would be $15-$12

=$3

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Answer:

B. 3$

Hope this helps!

Step-by-step explanation:

An account earns annual simple interest. Find the balance of
the account.
$250 at 4% for 1 year

HELP FAST

Answers

The balance of the account which earns annual simple interest of $250 at 4% for 1 year is $260

How to find simple interest?

Principal, P = $250Interest rate, r = 4%Time, t = 1 year

Simple interest = principal × rate × time

= 250 × 4% × 1

= 250 × 0.04 × 1

= $10

Balance = Principal + Simple interest

= $250 + $10

= $260

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Faelyn grouped the terms and factored the GCF out of the groups of the polynomial 6x4 – 8x2 + 3x2 + 4. Her work is shown.

Step 1: (6x4 – 8x2) + (3x2 + 4)

Step 2: 2x2(3x2 – 4) + 1(3x2 + 4)

Faelyn noticed that she does not have a common factor. Which accurately describes what Faelyn should do next?

Faelyn should realize that her work shows that the polynomial is prime.
Faelyn should go back and regroup the terms in Step 1 as (6x4 + 3x2) – (8x2 + 4).
In Step 2, Faelyn should factor only 2x out of the first expression.
Faelyn should factor out a negative from one of the groups so the binomials will be the same.

Answers

An accurately describes what Faelyn should do next is option B. Faelyn should realize that her work shows that the polynomial is prime.

What are prime polynomials?

Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called a prime polynomials.

The polynomial 6x⁴ – 8x² + 3x² + 4 needs to be factored and the steps are:

Step 1: (6x⁴ – 8x²) + (3x² + 4)

Step 2: 2x²(3x² – 4) + 1(3x² + 4)

Since they do not have any common factor.

Faelyn should realize that her work indicates that the polynomial is prime.

Prime polynomials have integer coefficients.

An accurately describes what Faelyn should do next is option B. Faelyn should realize that her work shows that the polynomial is prime.

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2 cups is equivalent to___ pint.

Answers

Answer:

1 pint is equal to 2 cups

Step-by-step explanation:

2 cups is equivalent to__1_ pint.

Hope This Helped

Answer:

answer is 1

Step-by-step explanation:

If 2^2^x = 2^3 what is the value of x

Answers

Answer:

[tex]\dfrac 32[/tex]

Step-by-step explanation:

[tex]~~~~~~~2^{2x} = 2^3\\\\\implies \ln\left(2^{2x} \right) = \ln (2^3)\\\\\implies 2x \ln(2) = 3 \ln(2) \\\\\implies 2x = 3\\\\\implies x = \dfrac 32[/tex]

Answer:

B

Step-by-step explanation:

A jar has 9 pennies.
3 nickels, 8 dimes, and
5 quarters. A coin is chosen
at random, not replaced
then another is chosen.
Find the probability that
a quarter was chosen
followed by a penny,

Answers

Answer:

the answer to this question is 3/40

Step-by-step explanation:

if you want my explanation you ca

the graph f(x) is shown below. Which function could represent the graph of f(x)?
(1) f(x)=(x+2)(x^2+3x-4)
(2) f(x)=(x-2)(x^2+3x-4)
(3) f(x)=(x+2)(x^2+3x+4)
(4) f(x)=(x-2)(x^2+3x+4)

Answers

The function which represents the graph is f(x) = (x + 2)(x² + 3x - 4). Then the correct option is 1.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The graph is given below.

The value of the function is zero for the values of x are -4, -2, and 1.

Let's check which function gets satisfied.

f(x) = (x + 2)(x² + 3x - 4)

The function can be written as

f(x) = (x + 2)(x + 4)(x - 1)

Then the values of x for which the value of the function is zero.

                       f(x) = 0

(x + 2)(x + 4)(x - 1) = 0

                         x = 1, -2, -4

Then the function will be f(x) = (x + 2)(x² + 3x - 4). Then the correct option is 1.

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■ Write an equivalent expression.
1 (12x+
(12x + 6x − 21) =
?
x
3
?

Answers

Answer:

6x - 7

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] (12x + 6x - 21 ) ← multiply each term in the parenthesis by [tex]\frac{1}{3}[/tex]

= 4x + 2x - 7 ← collect like terms

= 6x - 7

Hey there!

ORIGINAL EQUATION:

1/3(12x + 6x - 21)

COMBINE the LIKE TERMS

= 1/3(18x - 21)

DISTRIBUTE 1/3 WITHIN the PARENTHESES:

= 1/3(18x) + 1/3(-21)

SIMPLIFY:

= 6x - 7


Therefore, the answer should be:

6x - 7


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Considering the results from part a, it follows that the volume of a cylinder can be found in the same way as the volume of a rectangular prism. use your results and what you know about volume to explain how to find the volume of a cylinder with a base radius of r units and a height of h units.

Answers

To find the volume of a cylinder we must perform a mathematical operation that is expressed in the following formula V = Π h r².

How to find the volume of a cylinder?

To find the volume of a cylinder we must solve the following mathematical formula:

V = Πhr²

let's do an example

Our example cylinder is 10 centimeters high and 6 centimeters in diameter. What is its volume?

To find the volume we substitute the values as follows:

V = 3.1415 × 10cm × 3cm²V = 307.35 cm³

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Leah's family took a road trip to Mount Rushmore. Leah fell asleep 44% of the way through the trip. If Leah fell asleep after they had travelled 132 miles, what was the total length of the trip?

Answers

The total length of the trip 190.08 miles

How you do it is to add the 44% of 132 to 132

= (132 + (132×44%))

What is the length?

Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension distance. In most systems of measurement a base unit for length is chosen, from which all other units are derived.

First, you have to find out how much 44% is. Change it into decimal form (0.44) and then multiply the two together.

132 × 0.44 is 58.08 miles.

Then you add that to the rest of the trip, 132 miles.

= (132 + 58/08

=190.08

The total length of the trip was 190.08 miles.

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Look at the set of quadrilaterals in the coordinate plane shown below.



Which statement is TRUE?


Because quadrilateral ABCD can be reflected across the x-axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .

Because quadrilateral ABCD can be reflected across the y-axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

Because quadrilateral ABCD can be reflected across the y -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .

Because quadrilateral ABCD can be reflected across the x-axis, then rotated 90° clockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° clockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .

Because quadrilateral ABCD can be reflected across the line y = x, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.Look at the set of quadrilaterals in the coordinate plane shown below.



Which statement is TRUE?


Because quadrilateral ABCD can be reflected across the x-axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .

Because quadrilateral ABCD can be reflected across the y-axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

Because quadrilateral ABCD can be reflected across the y -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .

Because quadrilateral ABCD can be reflected across the x-axis, then rotated 90° clockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° clockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .

Because quadrilateral ABCD can be reflected across the line y = x, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

Answers

The true statement about the set of quadrilaterals in the coordinate plane is B. Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

What is a quadrilateral?

A quadrilateral is a polygon having four sides, four angles, and four vertices.

In this case, because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.

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1. In the figure given below, < ABC and < BDC are right angles; If AB-5cm, AD = 3cm and BD = 4cm (3 points) find BC and DC ?

Answers

In the given figure, the length of BC is 6.66 cm and the length of DC is 5.33 cm

Trigonometry

From  the question, we are to determine the length of BC and DC

Considering the diagram,

First, we will determine the measure of angle A

Using SOH CAH TOA

We can write that

[tex]sin A = \frac{4}{5}[/tex]

sin A = 0.8

∴ A = sin⁻¹(0.8)

A = 53.13°

Now, we will determine the measure of angle C

∠A + ∠ABC + ∠C = 180° (Sum of angles in a triangle)

53.13° + 90° + ∠C = 180°

∠C = 180° - 90° - 53.13°

∠C = 36.87°

Also,

Using SOH CAH TOA

[tex]tan C = \frac{BD}{DC}[/tex]

[tex]tan36.87 ^\circ=\frac{4}{DC}[/tex]

[tex]0.7500 = \frac{4}{DC}[/tex]

[tex]DC = \frac{4}{0.75}[/tex]

DC = 5.33 cm

By the Pythagorean theorem,

/BC/² = /BD/² + /DC/²

/BC/² = 4² + 5.33²

/BC/² = 16 + 28.4089

/BC/² = 44.4089

/BC/ = √44.4089

/BC/ = 6.66 cm

Hence, the length of BC is 6.66 cm and the length of DC is 5.33 cm

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A major arc will have a measure that is
O A. greater than 180°
OB. less than 180°
O C. equal to 180°

Answers


Think Major greater than 180°, Minor less than 180°. If arc equals 180° than it is a semi circle.


A.
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