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AlekseyPX
3 years ago
13

Alberto is painting a large triangle on one wall of his bedroom. The base of the triangle is 4 ft, and the height is 8 ft. It ta

kes 0.2 quart of paint to cover 1 square foot. How many quarts of paint does Alberto use?
A. 0.8 qt
B. 1.6 qt
C. 3.2 qt
D. 6.4 qt
Mathematics
2 answers:
UNO [17]3 years ago
7 0

Answer:

Option C. 3.2\ qt

Step-by-step explanation:

Step 1

Find the area of triangle

we know that

The area of a triangle is equal to

A=\frac{1}{2}bh

where

b is the base of triangle

h is the height of triangle

In this problem we have

b=4\ ft

h=8\ ft

substitute in the formula

A=\frac{1}{2}(4)(8)=16\ ft^{2}

Step 2

By proportion

\frac{0.2}{1}\frac{qt}{ft^{2}}=\frac{x}{16}\frac{qt}{ft^{2}}\\ \\x=16*0.2\\ \\x=3.2\ qt

MissTica3 years ago
7 0

Answer:

C 3.2

Step-by-step explanation:

I know because I took the test in K12 and got it right, Have a great life.

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A = kr²<br><br>choices:<br>direct<br>inverse<br>joint<br>combined<br>​
Lina20 [59]

Answer:

Direct.

Step-by-step explanation:

A varies directly as the square of r.

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3 years ago
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David tosses two coins the possible outcomes for tossing two coins is given what is the probability of both coins landing on hea
aalyn [17]

Answer:

1/2

Step-by-step explanation:

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3 years ago
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You earn $7.50 per hour and need to earn $35. Write and solve an inequality to find how many hours you must work
Arada [10]

Answer:

7.50 x  = 35 Answer is around 4.6 hours

Step-by-step explanation:

Divide 35 by 7.50 to find the number of hours.

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8 0
3 years ago
ANSWER ASAP PLEASE!!
aliya0001 [1]

Answer:

Clayton could use the relationship (x,y)→ (y,x) to find the points of the image

C’ will remain in the same location as C because it is on the line of reflection

The image and the pre-image will be congruent triangles

The image and pre-image will not have the same orientation because reflections flip figures

Step-by-step explanation:

<u><em>Verify each statement</em></u>

case A) Clayton could use the relationship (x,y)→ (y,x) to find the points of the image

The statement is true

we know that

The rule of the reflection of a point across the line y=x is equal to

(x,y)→ (y,x)

case B) Clayton could negate both the x and y values in the points to find the points of the image

The statement is false

case C) C’ will remain in the same location as C because it is on the line of reflection

The statement is true

If a point is on the line of reflection (y=x), then the point remain in the same location because the x and y coordinates are equal

case D) C’ will move because all points move in a reflection

The statement is false

Because C' is on the line of reflection (y=x), then the point remain in the same location

case E) The image and the pre-image will be congruent triangles

The statement is true

Because the reflection not change the length sides of the triangle or the measure of its internal angles. Reflection changes only the orientation of the figure

case F) The image and pre-image will not have the same orientation because reflections flip figures

The statement is true

Because in a reflection across the line y=x, the x coordinate of the pre-image becomes the y-coordinate of the image and the y-coordinate of the pre-image becomes the x-coordinate of the image

3 0
3 years ago
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Determine g(x + a) – g(x) for the following function.<br> g(x) = 5x2 + 2x
dusya [7]

Answer:

g(x + a) - g(x) = 10ax + 5a^2 + 2a

Step-by-step explanation:

We are given the function:

g(x) = 5x^2 + 2x

And we want to determine:

\displaystyle g(x+a) - g(x)

Substitute:

\displaystyle \begin{aligned}g(x + a) - g(x) &=\left[5(x+a)^2 + 2(x+a)\right] -\left[5x^2+2x\right]    \end{aligned}

And simplify:

\displaystyle \begin{aligned}g(x + a) - g(x) &=\left[5(x+a)^2 + 2(x+a)\right] -\left[5x^2+2x\right] \\  \\ &= \left(5(x^2 + 2ax + a^2) + (2x + 2a) \right) + \left(-5x^2 - 2x\right) \\ \\ &= \left((5x^2 + 10ax + 5a^2) + (2x + 2a)\right) + \left(-5x^2 - 2x\right) \\ \\ &= (5x^2-5x^2) + (10ax + 2x - 2x) + (5a^2+2a)     \\ \\ &= 10ax + 5a^2 + 2a \end{aligned}

In conclusion:

g(x + a) - g(x) = 10ax + 5a^2 + 2a

3 0
2 years ago
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