Find the volume of the triangular prism.

Answer:

f (-1) = 3

f (0) = -7

f (2) = -7

f (5) = -7

Step-by-step explanation:

f (-1) = 3

f (0) = -7

f (2) = -7

f (5) = -7

Answer:

pendrive, memory, chip

Answer:

83

Step-by-step explanation:

not sure tho____________

Answer:

83 degrees

Step-by-step explanation:

The exterior angle of a triangle can be find by adding up the two inner angles that are not adjacent, so

43 + x = 126

x = 83 degrees

Second way

exterior angle + inner angle = 180

126 + inner angle = 180

inner angle = 54

the sum of the inner angles of a triangle is 180 degrees

54 + 43 + x = 180

97 + x = 180

x = 83 degrees

Answer:

65 seats

Step-by-step explanation:

1. Approach

To answer this question, one has to find the rate at which seats are added to each row. Then one must find the number of seats in the first row. Using this information, one can form an equation to find out how many seats are in any given row when given the row number. Finally, one can substitute (20) into the equation to find out how many seats are in the row (20).

2.Find the rate at which seats are added

One is given the row number and the corresponding number of seats in the row. This information is presented in the formate ([tex]x,y[/tex]), as the following is,

(3, 31), (6, 37)

Where (x) is the row number and (y) is the number of seats.

To find the rate at which seats are added, one must solve for the rate of change. This can be done using the following formula,

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute in the given information and solve for the rate of change,

[tex]\frac{37-31}{6-3}[/tex]

Simplify,

[tex]\frac{37-31}{6-3}\\=\frac{6}{3}\\=2[/tex]

Seats are added at a rate of (2) seats per row.

3. Find the equation

The easiest way to write the equation of this situation is to use the equation of a line is in the slope-intercept form. This form is as follows,

[tex]y=mx+b[/tex]

Where (m) is the slope of the line and (b) is the (y-intercept). As one found in (step (2)) the slope of the line is (2). Substitute this into the equation,

[tex]y=2x+b[/tex]

One is given that (3, 31) is a part of this scenario, substitute this point into the equation and solve for the unknown,

[tex](31)=2(3)+b[/tex]

Simplify,

[tex]31 = 6+b[/tex]

Inverse operations,

[tex]31=6+b\\25=b[/tex]

Substitute this into the equation to complete the equation,

[tex]y=2x+25[/tex]

4.Find how many seats are in the row (20)

Now that one has the equation to find the number of seats where (x) represents the row number and (y) represents the number of seats. Substitute in the row number (20) to solve to find the number of seats in the row.

[tex]y=2x+25[/tex]

[tex]y=2(20)+25[/tex]

Simplify,

[tex]y=2(20)+25\\y=40+25\\y=65[/tex]

Answer:Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.

Step-by-step explanation:

Answer:

Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.

Step-by-step explanation:

got it right on the quiz!!!

Answer:

c = 4.5π inches   exact answer

c = 14.13 inches   decimal approximation

Step-by-step explanation:

c = πd

c = 4.5π    exact answer

using 3.14 for π

c = 3.14 * 4.5

c = 14.13    decimal approximation

Answer:

sin of 90 is 1

Step-by-step explanation:

sin is the y axis coordinate and the coordinates of 90° on unit circle is (0,1)

Answer:

if it is arithmetic, ach item us increase linearly. The general term is - 175+100(n-1)

where n is the number of term.

the 4th term is 125

if it is geometic, each item us increased exponetially. T he general term is 25/9 x 3^(n-1)

where n is the number of term

the 4th term is 75

Answer:

Angle 1 is 105°

Angle 2 is 75°

Step-by-step explanation:

Angle 2 is the same angle as angle 6 which is 75°

Angle 1 can be found by subtracting 75° (angle 2) from 180° which is the angle of a straight line. Which equals 105°.

Hope this helps! :)

Answer:

600,000

Step-by-step explanation:

Answer:

6,000,000

Step-by-step explanation:

Simply put: Multiply 2 • 3

Then add the zeros, there are 6 zeros total, so just add them to the 6. boom! 6,000,000. Or just use a calculator ;)

Hope this helps!

Answer:

d. x9 + x3 – 10 = 0

Answer:

What are we supposed to do on this

Step-by-step explanation:

Answer:   the dilated point will be 2 units at the right of P, and 3 units above P.

Step-by-step explanation:

Answer:

447 ft

Step-by-step explanation:

Add 417 and 30 together. That will give you the total direct distance between the two. 417+30=447

Answer:

Angle 1 and Angle 2

Step-by-step explanation:

Adjacent supplement angles are a pair of angles that have a sum of 180 degrees and are adjacent to each other

Answer:

not sure look at the image please

Answer:

The answer is B) John earns $14.00 for two hours of work.

Answer:

3(x-3)/4-1/2=2/3  

The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...

Step-by-step explanation:

4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12

Answer:

A

Step-by-step explanation:

The central angle is equal to the arc that subtends it , then

arc AB = 30°

arc ACB = 360° - 30° = 330° → A

Answer:

option b) -2/5

Step-by-step explanation:

Using the rule :

             [tex]\sqrt[3]{a^3} = (a^3)^{\frac{1}{3}} = a[/tex]

             [tex]\sqrt[n]{-x} = - \sqrt[n]{x} , if \ n \ is \ odd[/tex]

[tex]\sqrt[3]{-\frac{8}{125}} = \sqrt[3]{-\frac{2 \times 2 \times 2}{5 \times 5 \times 5}} = -\frac{2}{5}[/tex]

Answer:

[tex]\sqrt[3]{-\frac{8}{125} }[/tex]

So, your answer is B) - 2/5

-----------------------------

hope it helps...

have a great day!!

The ladder will reach a height of 20.6 feet

The given parameters are:

Start by calculating how far (d) the ladder is, from the bottom of the house using the following Pythagoras theorem

[tex]45^2 = 27^2 +d^2[/tex]

Collect like terms

[tex]d^2= 45^2 -27^2[/tex]

[tex]d^2= 1296[/tex]

Take square roots of both sides

[tex]d= 36[/tex]

When the ladder is moved 4 feet farther, the new distance becomes

[tex]d= 36+4[/tex]

[tex]d= 40[/tex]

The new height (h) of the ladder is then calculated using the following Pythagoras theorem

[tex]45^2=40^2 + h^2[/tex]

Collect like terms

[tex]h^2 = 45^2-40^2[/tex]

[tex]h^2 = 425[/tex]

Take the square roots of both sides

[tex]h = 20.6[/tex]

Hence, the ladder will reach a height of 20.6 feet

Read more about Pythagoras theorem at:

https://brainly.com/question/654982

The second container can hold (1000/3) x h2 cubic centimeters of liquid.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can use the concept of similar shapes to solve this problem.

Since the two containers have exactly the same shape, the ratio of their corresponding dimensions (height, width, and length) will be the same. Let's denote the height of the second container by h2.

Now,

The first container has a height of h1 and can hold v1 units of liquid.

Since the containers have the same shape, the ratio of their heights will be the same as the ratio of their volumes.

So,

h2/h1 = (volume of container 2) / (volume of container 1)

Solving for the volume of container 2.

(volume of container 2) = (h2/h1) x (volume of container 1)

Substituting the given values, we get:

(volume of container 2) = (h2/3) x (1000)

where we have converted 1 liter to 1000 cubic centimeters.

Simplifying this expression.

(volume of container 2) = (1000/3) x h2

Therefore,

The second container can hold (1000/3) x h2 cubic centimeters of liquid.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Step-by-step explanation:

x^2-6x-6x+36=0

x(x-6)-6(x-6)=0

(x-6)(x-6)=0

x=6

Answer:

29 feets 3 inches

Step-by-step explanation:

We need to obtain the actual height of oak tree :

Converting measurement to inches :.

1 Feet = 12 inches

Shanice height, SA = 5ft 10 in = (12*5 + 10) = 70 in

Shanice shadow, SS = 7ft 6in = (12*7 + 6) = 90 in

Tree shadow, TS = 74ft 3 in =(12*74 + 3) = 891 in

Let actual tree height = TH

Using the relation :

SA / SS = TH / TS

70 / 90 = TH / 891

Cross multiply :

90 * TH = 891 * 70

TH = (891 * 70) / 90

TH = 693 inches

Height of house = 28ft 6 in = (28*12 + 6) = 342 in

Height difference :

(693 - 342) in = 351 inches

351 in / 12 = 29 feets 3 inches

Answer:

Top right

Step-by-step explanation:

I did it before

Answer:

TOP RIGHT

Step-by-step explanation:

:)

Answer:

x² + 7x + 10 = 0

Subtract 10 from both sides

x² + 7x = -10

Use half the x coefficent (7/2) as the complete the square term

(x + 7/2)² = -10 + (7/2)²

   note: the number added to "complete the square" is (7/2)² = 49/4

(x + 7/2)² = -10 + 49/4

(x + 7/2)² = 9/4

Take the square root of both sides

x + 7/2 = ±3/2

Subtract 7/2 from both sides

x = -7/2 ± 3/2

x = {-5, -2}

Answer:

140.3 ft³

Step-by-step explanation:

Volume of cylinder = πr²h

                                = π x 1.5² x 4

                                = 28.3 ft³

P.S. The diameter in the picture is 3ft. FIrst, change it to radius. 3/2= 1.5 ft

Volume of cuboid = lwh

                              = 7 x 4 x 4

                              = 112 ft³

Total volume = 112 + 28.3 = 140.3

Hope this helps!