Work out the area of triangle ABC.

Work Out The Area Of Triangle ABC.

Answers

Answer 1

Answer:

A = 4 cm²

Step-by-step explanation:

The area of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

b = AC = 3[tex]\sqrt{2}[/tex] + [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]

h = BD

Calculate BD using Pythagoras' identity in Δ ABD

BD² = AB² - AD²

      = (2[tex]\sqrt{5}[/tex] )² - (3[tex]\sqrt{2}[/tex] )²

     = 20 - 18 = 2 ( take square root of both sides )

BD = [tex]\sqrt{2}[/tex]

Then

A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 4 cm²


Related Questions

HOPE I MADE YOU SMILE!!

Answers

Answer:

ok points

Step-by-step explanation:

Answer:

Thank You so much.....You made me smile lol :D

Q.

10! (Factorial)

note : Don't be bullied, I'm not beautiful:v​

Answers

Answer:

The value of factorial of 10 is 3628800,

i.e. 10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 3628800.

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

[tex]10! \: = 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times\\ 3 \times 2 \times 1 =3628800 \\ [/tex]

The \: value of factorial of 10 is , i.e. 10!= 3628800

Describe the following change as both an absolute change in terms of Percentage Points, and as a relative change in terms of a percentage.

The annual interest rate for Jack's savings account increased from 2.3% to 2.8%.

Answers

Answer:

0.5%

Step-by-step explanation:

n less than 10
.......................

Answers

Answer:

n<10

Step-by-step explanation:

A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 167 feet.

PLS HELP URGENTT

Answers

Answer:

Please give Brainliest!

Step-by-step explanation:

The three sides are 36ft, 72ft, and 59 ft.

Question is in picture please help will mark brainliest

Answers

[tex]a(n) = ({n + 1})^{2} - 1[/tex]

Amy is solving the equation using the steps shown.



Which could be the correct next step in solving the equation?


Subtract 2 from both sides of the equation to yield (x 2 – 16) = 0.
Subtract 2 from both sides of the equation to yield (, x , 2, – 16) = 0.

Multiply (x 2 – 16)(x + 2) on the left side of the equation to yield x 3 + 2x 2 – 16x – 32 = 0.
Multiply (, x , 2, – 16)(, x, + 2) on the left side of the equation to yield , x, , 3, + 2, x, , 2, – 16, x, – 32 = 0.

Factor (x 2 – 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.
Factor (, x , 2, – 16) on the left side of the equation to yield (, x, + 4)(, x, – 4)(, x, + 2) = 0.

Add 16 to both sides of the equation to yield x 2(x + 2) = 0.
Add 16 to both sides of the equation to yield , x , 2, (, x, + 2) = 0.

Answers

The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.

The equation is given as:

[tex]\mathbf{(x^2 - 16)(x + 2) = 0}[/tex]

The possible next steps are:

1. Expand the equation as follows

[tex]\mathbf{x^3+2x^2-16x-32 = 0}[/tex]

2. Express x^2 -16 as a difference of two squares as follows

[tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]

However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give [tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]

This is so, because the question says Amy is trying to solve for variable x.

This step will ensure that she gets the possible values of x, unlike expanding the whole equation .

Hence, the correct next step is [tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]

Read more about equations at:

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Use the function z=7c to find the value of z when c=8.

Answers

Answer:

z = 56

Step-by-step explanation:

z = 7(8)

What is the earliest known human-like creature who displayed human-like intelligence called?
Neolithic People
Early Stone People
Mesolithic People
Neanderthal People

Answers

C. Hope it helps! :)
The answer is d Neanderthal People

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2y - 2 = -14

Answers

Answer: y=-6

Step by step explanation:
2y-2=-14
2y=-12 (move the negative 2 to the right)
y= -6 (divide both sides by 2)
Your equation is then y=-6

The following thermometer indicates the temperature in degree centigrade at 6:00 am. If the temperature increases one degree every 30 minutes. At what time the temperature will reach 20 degrees ?

A 7:15
B 7:30
C 7:45
D 8:00

Answers

Answer:

i think (C)

Step-by-step explanation:

hope this helps you

Solve the system of linear equations by substitution: (SHOW UR WORK)
y=-x
y=3x-4

Answers

Answer:

1

Step-by-step explanation:

What you can do is do [tex]3x-4=-x[/tex]

-4=-4x

x=1

CHECK:

[tex]3-4=-1[/tex]

[tex]-1=-1[/tex]

Assume the mean life of an iPhone is 5 years (60 months)and a standard deviation of 8 months If the age in years at which an iPhone is replaced is approximately normally distributed, what is the probability that the phone will need to be replaced between 60-75 months? A 47% B 82% C 54% D 68%​

Answers

Answer:

Answer:

safe speed for the larger radius track u= √2 v

Explanation:

The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.

Also given that r_1= smaller radius

r_2= larger radius curve

r_2= 2r_1..............i

let u be the speed of larger radius curve

now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=

r

1

mv

2

=

r

2

mu

2

................ii

form i and ii we can write

v^2= \frac{1}{2} u^2v

2

=

2

1

u

2

⇒u= √2 v

therefore, safe speed for the larger radius track u= √2 v

One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each
spinner is spun once.
What is the sample space of outcomes?

Answers

Answer:

3rd option

Step-by-step explanation:

The sample space of outcomes, when two spinners, one with three equally sized sectors labeled R, S, and T and the other with two equally sized sectors labeled 3 and 5 spun once, is {R3, R5, S3, S5, T3, T5}.

What is sample space?

Sample space is the set of all the possible values or the outcomes of an event.

Let suppose the coin is tossed two times. Then the set of possible outcomes or sample space of it can be given as,

[tex]S=\{HH,HT,TH,TT\}[/tex]

Here, H denotes the head and T denotes the tail part of the coin.

In the given problem,

One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each spinner is spun once.

The sample space when are {R3, R5, S3, S5, T3, T5}. Thus, there is a total of 6 outcomes of the event.

Hence, the sample space of outcomes, when two spinners, one with three equally sized sectors labeled R, S, and T and the other with two equally sized sectors labeled 3 and 5 spun once, is {R3, R5, S3, S5, T3, T5}.

Learn more about the sample space here;

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how many lines of symmetry does the figure have?

Answers

Answer:

Step-by-step explanation:

2

Write an Equation for each of the lines on the graph.

Answers

NOTE: for C there is an x after -4.1176

Step-by-step explanation:

50 squared is rational

True
False

Answers

Answer:

false

Step-by-step explanation:

Answer:

A rational number can be written as a fraction. Try finding the square root of 50 and see if you can rewrite it in fraction form.

Step-by-step explanation:

pls help me solve this​

Answers

Volume = Area of triangle x length


Area of triangle = 1/2 x base x height

Area of triangle = 1/2 x 5 x 4

Area of triangle = 10


Volume = area of triangle x length

Volume = 10 x 12

Volume = 120 cm^3

Can someone Please help me on this math problem

Answers

Answer:

  False

Step-by-step explanation:

Residuals are the measure of the error in the fit. The square of their sum gives no weight to the sign of the error, but gives greater weight to larger errors. The fit will be better when the error is smaller. In this scenario, Line B is a better fit.

The statement that Line A better fits the data is FALSE.

please help me!

ty :)

Answers

Answer:

x intercept= (-3,0)  y intercept= (0,3)

Step-by-step explanation:

for x intercepts, y should equal zero

for y intercepts, x should equal zero

x intercept: -x+0=3

-x=3

x=-3  (x,y)--> (-3,0)

y intercept: 0+y=3

y=3 (x,y)--> (0,3)

The x-intercept is the point at which the graph crosses the x-axis.The y-intercept is the point at which the graph crosses the y-axis.Let x be 0.Then, -x + y = 3or, y = 3(x, y) = (0, 3)Now, let y be 0.Then, -x + y = 3or, -x + 0 = 3or, x = -3(x, y) = (-3, 0)So, x-intercepts are 0 and -3 and y-intercepts are 3 and 0.

Answer:

Answer:x - intercept (0, -3)

3)y - intercept (3, 0)

Hope you could get an idea from here.

Doubt clarification - use comment section.

order 2⁹, 5.9 × 10², 9³, 5⁴, 6.81 × 10¹ from least to greatest​

Answers

Answer:

2^9=512

5.9*10^2=590

9^3=729

5^4=625

6.81*10=68.1

6.81 × 10¹, 2⁹, 5.9 × 10²,  5⁴, 9³

Highlighter pens cost $3.86 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these pens

Answers

Answer:

P = 3.86n

Step-by-step explanation:

the price will be how many sets you buy multiplied by the price.

Bianca calculated the height of the equilateral triangle with side lengths of 10.

tangent (30) = StartFraction 5 Over h EndFraction An equilateral triangle with side lengths of 10 is shown. A bisector is drawn to split the side into 2 equal parts and splits the angle into 2 30 degree segments.
Then, she used the formula for area of a triangle to approximate its area, as shown below.

A = one-half b h. = one-half (10) (8.7). = 43.5 units squared.

Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca’s answer.

The apothem, rounded to the nearest tenth, is
units.

The perimeter of the equilateral triangle is
units.

Therefore, the area of the equilateral triangle is
, or approximately 43.5 units2.

The calculated areas are
.

Answers

Answer:

The apothem, rounded to the nearest tenth, is

2.9 units.

The perimeter of the equilateral triangle is

30 units.

Therefore, the area of the equilateral triangle is

1/2(2.9)(30), or approximately 43.5 units2.

The calculated areas are

the same, despite using different formulas.

Step-by-step explanation:

Edge

A jacket costs $80. it is on sale for 35% off. what is the discount? ​

Answers

Answer:

$52

Step-by-step explanation:

35% off

100% - 35% = 65%

65/100 = 0.65 ( multiplier)

0.65 x 80 = 52

Answer:

$28

Step-by-step explanation:

35/100 = x/800

0.35 * 800 = $28

Sally bought two shirts that cost $6.99 each. The sales tax rate was 7%. What was the total amount Sally paid?Question 3 options:$0.98$7.48$14.05$14.96

Answers

Answer: $14.96

Step-by-step explanation:

13.98 + .98 = 14.96

The total amount paid by Sally is $ 14.96

What is Sales Tax?

The Sales tax is calculated by the equation

Sales tax rate = Sales tax percent / 100

Sales tax = List price x Sales tax rate

Given data ,

List price of the shirt Sally bought = $ 6.99

Number of shirts Sally bought = 2 shirts

Total price of 2 shirts = 2 x 6.99

                                    = $ 13.98

So , List price = $ 13.98

Sales tax rate = 7 %

Total amount paid by Sally = List price + Sales tax

Now , Sales tax is calculated by

Sales tax = List price x Sales tax rate

                = 13.98 x 0.07

                = 0.9786

Therefore , total amount paid by Sally = List price + Sales tax

                                                               = 13.98 + 0.9786

                                                               = $ 14.9586

                                                               ≈ $ 14.96

Hence , the total amount paid by Sally is $ 14.96

To learn more about Sales tax click :

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I’m in a rush and I need to find the answer quickly

Answers

Answer:

It would be

(1, -3) or D :]

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

The answer is 8

x=3

4^3/2^3=8

Find the center and radius of the circle x^2+y^2-10x-12y+45=0.

Answers

Answer:

The center is (5, -6) with a radius of r

Step-by-step explanation:

First put the equation in Standard Form for a circle:

(x + a)² + (y + b)² = r²

Now, Group the term

x² + y² - 10x - 12y + 45 = 0

x² - 10x + y² - 12y = - 45

Then, The x and y terms must be perfect squares

x² - 10x + 25 + y² - 12y + 36 = - 45 + 25 + 36

add constant both sides we get,

x² - 10x + 25 + y² - 12y + 36 = 16

Now, Simplify

(x - 5)² + (y + 6)² = 16

√(x - 5)² + (y + 6)² = √16

x - 5 + y + 6 = 4

Here, (a,b) = (5, -6) and = 16, with r = 4

Thus, The center is (5, -6) with a radius of r

-TheUnknownScientist 72

what does FSS stand for in math

Answers

Answer:

frequency-selective surface (FSS)

The sum of the interior angles of
an n-sided polygon is 3600. The
value of n is [? ].

Answers

Answer:  22

=====================================================

Work Shown:

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

3600 = 180(n-2)

3600/180 = n-2

20 = n-2

20+2 = n

22 = n

n = 22

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