40 POINTS!!!
Find the volume of this irregular figure.
Hint: Find the volume of the whole rectangular prism, then subtract the volume of the missing piece, which is also a rectangular prism.

Answer:

A = 120 cm²

Step-by-step explanation:

The 4 part of the ratio relates to the height of triangle A , then

16 ÷ 4 = 4 cm ← value of 1 part of the ratio, then

5 parts = 5 × 4 cm = 20 cm

The area (A) of triangle B is calculated as

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

Here b = 12 and h = 20 , then

A = [tex]\frac{1}{2}[/tex] × 12 × 20 = 6 × 20 = 120 cm²

Answer:

5/8

Step-by-step explanation:

Area for a triangle

A=1/2bh

15/32=3/4h

5/8 = h

16 cubes are needed to fill in the prism mad by the net.

Sure hope this helps you

Answer:   Vertical stretch by a factor of 5.8 , reflection across x-axis ⇒ answer B

Step-by-step explanation:

* Lets revise the vertical and horizontal stretch with reflection

- A vertical stretching is the stretching of the graph away from the

x-axis

- If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched

by multiplying each of its y-coordinates by k.

- If k should be negative, the vertical stretch is followed by a reflection

across the x-axis  

- A horizontal stretching is the stretching of the graph away from

the y-axis

- If 0 < k < 1 (a fraction), the graph of y = f(k•x) is f(x) horizontally

stretched by dividing each of its x-coordinates by k.

- If k should be negative, the horizontal stretch or shrink is followed

by a reflection in the y-axis

* Lets solve the problem

∵ G(x) = sin x

∵ F(x) = -5.8 sin x

∴ F(x) = -5.8 G(x)

- From the rule above

∴ G(x) is stretched vertically by scale factor -5.8

∵ The scale factor is negative

∴ The vertical stretch is followed by a reflection across the x-axis  

* The transformation is:

 Vertical stretch by a factor of 5.8 , reflection across x-axis

point-slope form

y - y₁ = m(x - x₁)

[tex]y-1=-\frac{1}{2}(x-8)\\\\y-1=-\frac{1}{2}x+4\\\\y=-\frac{1}{2}x+5[/tex]

The answer is A) Choice A.

Answer:

nine less than the product of five and seven

Step-by-step explanation:

x - 2y = -3,____1 , 8x - 6y = 16____ 2

x - 2y = -3

x = 2y -3 ____ equation 3

eqn 3 in 2

2=> 8x - 6y = 16

8(2y-3) - 6y = 16

16y - 24 - 6y = 16

10y = 16 + 24

10y = 40

y = 40 / 10

y = 4

y=4 in eqn 3

3=> x = 2y - 3

x = 2(4) - 3

x = 8 - 3

x = 5

x = 5 , y = 4

-2y-2y = 20 , x - 7y = 14___ 1

-2y-2y = 20

-4y = 20

y = 20/ -4

y = -5

y = -5 in eqn 1

1=> x - 7y = 14

x - 7(-5) = 14

x - (-35) = 14

x + 35 = 14

x = 14 - 35

x = -21

x = -21 , y = -5

Answer:

∠A≅∠X          AB≅XZ

∠B≅∠Z          AC≅XY

∠C≅∠Y          BC≅ZY

ΔABC≅ΔZYX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Answer:

50 miles per hour

Step-by-step explanation:

150 miles=3 hours

150/3=50

50miles 1 hour

100 miles 2 hours

150 miles 3 hours

each hour is 50 miles

Answer:

The rate of the car is 50 miles per hour

Answer:

BC / 8 = sin 35° by definition.

Step-by-step explanation:

Virtual reality" is the appropriate answer.

The utilization of technological advances gives the impression of a 3D interactive environment wherein the things that have such a perception of space embodiment or involvement, are considered as Virtual reality.

Virtual reality implementations often include:

To know more about virtual reality follow

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Answer:

he would need 4 bags

Step-by-step explanation:

16 divided by 4 is 4

you can count by 4 to find your answer

The graph represents a polynomial graph, and the equation of the polynomial graph is f(x) = -(x + 5)³(x - 2)²

From the graph, we have the following observations:

This means that the graph has a multiplicity of 2 at x = 2 and a multiplicity of 3 at x = -5

So, we have:

f(x) = a(x + 5)³(x - 2)²

The curve is inverted,

This means that a < 0

Assume a = -1.

Then, we have:

f(x) = -(x + 5)³(x - 2)²

Hence, the equation of the polynomial graph is f(x) = -(x + 5)³(x - 2)²

Read more about polynomials at:

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Answer:

3.2

Step-by-step explanation:

Formula to find the simple interest rate :

S.I. = [tex]\frac{PRT}{100}[/tex]

Formula to find R (simple interest rate) :

R = [tex]\frac{100*S.I.}{P*T}[/tex]

Since you have I (interest amount), we can use this formula instead :

R = [tex]\frac{I}{PT}[/tex]

R = [tex]\frac{320}{4,000*2}[/tex] = 4%/year or 0.04

Now plug this into the first formula

S.I. = [tex]\frac{4,000*0.04*2}{100}[/tex] = 3.2

i haven't done this in a while so hope this helps !!

Answer:

B and C are functions.

Step-by-step explanation:

B and C are functions because they satisfy the Vertical Line Test. A and D are not functions because they do not satisfy the Vertical Line Test.

Answer:

[tex]=15km[/tex]

Explanation:

[tex]12[/tex] [tex]km[/tex] ÷ [tex]4[/tex]

[tex]=3[/tex] [tex]km[/tex] per trip to school

Now that we know that Layla walks 3 km to walk to school, we multiply that by 10

[tex]3[/tex] [tex]km[/tex] × [tex]5[/tex] [tex]trips[/tex]

[tex]=15[/tex] [tex]km[/tex]

∴ Layla walked 15 km in total

Regrouping terms in the sum as

x + (-5x + 5x) + (-9x + 9x) + … + (-21x + 21x) - 25x

you can see that all the middle terms cancel and you're left with

x - 25x = -24x

Subtract the difference of girls and boys from total kids:

35 -13 = 22

Divide 22 in half:

22/2 = 11

number of females = 11

Number of males = 11 + 13 = 24

Answer:

24 males, 11 females

Step-by-step explanation:

Solved with equations:

m = males, f = females

The equations:

[tex]m+f=35\\m-f=13[/tex]

Add the two equations:

[tex]2m=48[/tex]

[tex]m=48/2=24[/tex] males

Number of females:

[tex]24+f=35\\f=35-24\\f=11[/tex]

Hope this helps

Answer:

4/9 = 0.4 with a line over the 4

Step-by-step explanation:

Answer:

C. 4/9

Step-by-step explanation:

On dividing 4/9 :

Option C gives the right answer.

Answer:

here is the graph

Step-by-step explanation:

Answer:

Your answer given is that a great common factor of the monomials shown below 6x^4 y^3 z^4 22xy^3

A said Given 66x^4 y^3 z^4

B said Given 2x^4 y^3 z^4

C said Given 66x^5 y^6 z^7

D said Given 2xy^3 z^3

my answer is that C. 66x^5 y^6 z^7

because it greatest common factor

Answer:

You infer that mean weight of catfusf in the lake is close to 2.2lbs

Step-by-step explanation:

Because it's a random sample of 50.

The mistake made by George is; D:George should have averaged the two differences instead of the two bounds.

In Mathematics, successive approximation can be defined as a classical method that is used in Calculus for solving integral equations or initial value problems.

In this question, George started the first iteration of successive approximation by using the lower and upper bounds of the graph. However, we can deduce that George made a mistake instep 5 because he should have used x = 3/2 as the new upper bound.

Read more about Successive Approximations at; brainly.com/question/25219621

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Answer:

160 square inches

Step-by-step explanation:

You can split the irregular figure up into regular shapes:

the top 4x6 inch rectangle

the middle section can be a 18x6 rectangle (added 7+11 for the length)

the bottom 4x7 rectangle (sibtracted 10-6 for the width)

Then, find the area of each section with the equation A = lw.

A= 4(6) = 24 square inches

A = 18(6) = 108 square inches

A = 4(7) = 28 square inches

Add these areas up to get the total area of the irregular figure.

24 + 108 + 28 = 160 square inches

Answer:

BC = 17 - x

Step-by-step explanation:

Let AC be the line segment and B be some point on it,

AB + BC = AC

( 2x - 8 ) + BC = x + 9   ...............(1)

BC = x + 9 - ( 2x - 8 )
BC = 17 - x

Answer:

=> e is greater than Or equal to 13

Answer:

Hey I don't know if this helps but I your trying to see if the equality is true of false it would be false