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vagabundo [1.1K]

3 years ago

7

A storage box without a top is 18 inches long , 15 inches wide ,and 10 inches high , The outside of the box is painted yellow .

What is the total area that is painted yellow ?

1 answer:

Levart [38]3 years ago

3 0

Answer:

The total area that is painted yellow is $930\ in^{2}$

Step-by-step explanation:

we know that

The area of the outside of the box is equal to the surface area of the box minus the area of the top

The area of the outside is

$A=B+PH$

where

B is the area of the base

P is the perimeter of the base

H is the height of the box

<em>Find the area of the base B</em>

$B=(18)(15)=270\ in^{2}$

<em>Find the perimeter of the base P</em>

$P=2(18+15)=66\ in$

we have

$H=10\ in$

substitute the values

$A=270+(66)10=930\ in^{2}$

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Find the length of PQ

PIT_PIT [208]

Answer:

C. About 8.6 Units

Step-by-step explanation:

Distance Formula

8 0

2 years ago

Which of the following expressions could give the total amount of a $45 restaurant bill with a 15% tip added on?

Elina [12.6K]

Answer:

Option B: 1.15($45) is the correct answer.

Step-by-step explanation:

Given that:

Total amount of restaurant bill = $45

Tip = 15%

As the bill would be 100% and a 15% tip will be added.

Thus total bill,

Total bill = (100+15)% = 115% of restaurant bill

Total bill = $\frac{115}{100}(45)$

Total bill = 1.15($45)

Hence,

Option B: 1.15($45) is the correct answer.

8 0

2 years ago

Read 2 more answers

A FIGURE HAS AN AREA OF 50 UNITS.WHAT WILL THE NEW AREA BE AFTER A DILATION WITH SCALE FACTOR OF 3

xenn [34]

Answer:

150 units

Step-by-step explanation:

50 x 3 = 150

6 0

2 years ago

If sinx = p and cosx = 4, work out the following forms :<br><br><br>

Kay [80]

Answer:

$\frac{p^2 - 16} {4p^2 + 16}$

Step-by-step explanation:

I will work with radians.

$\frac {\cos^2 \left(\frac{\pi}{2}-x \right)+\sin(-x)-\sin^2 \left(\frac{\pi}{2}-x \right)+\cos \left(\frac{\pi}{2}-x \right)} {[\sin(\pi -x)+\cos(-x)] \cdot [\sin(2\pi +x)\cos(2\pi-x)]}$

First, I will deal with the numerator

$\cos^2 \left(\frac{\pi}{2}-x \right)+\sin(-x)-\sin^2 \left(\frac{\pi}{2}-x \right)+\cos \left(\frac{\pi}{2}-x \right)$

Consider the following trigonometric identities:

$\boxed{\cos\left(\frac{\pi}{2}-x \right)=\sin(x)}$

$\boxed{\sin\left(\frac{\pi}{2}-x \right)=\cos(x)}$

$\boxed{\sin(-x)=-\sin(x)}$

$\boxed{\cos(-x)=\cos(x)}$

Therefore, the numerator will be

$\sin^2(x)-\sin(x)-\cos^2(x)+\sin(x) \implies \sin^2(x)- \cos^2(x)$

Once

$\sin(x)=p$

$\cos(x)=4$

$\sin^2(x)-\cos^2(x) \implies p^2-4^2 \implies \boxed{p^2-16}$

Now let's deal with the numerator

$[\sin(\pi -x)+\cos(-x)] \cdot [\sin(2\pi +x)\cos(2\pi-x)]$

Using the sum and difference identities:

$\boxed{\sin(a \pm b)=\sin(a) \cos(b) \pm \cos(a)\sin(b)}$

$\boxed{\cos(a \pm b)=\cos(a) \cos(b) \mp \sin(a)\sin(b)}$

$\sin(\pi -x) = \sin(x)$

$\sin(2\pi +x)=\sin(x)$

$\cos(2\pi-x)=\cos(x)$

Therefore,

$[\sin(\pi -x)+\cos(-x)] \cdot [\sin(2\pi +x)\cos(2\pi-x)] \implies [\sin(x)+\cos(x)] \cdot [\sin(x)\cos(x)]$

$\implies [p+4] \cdot [p \cdot 4]=4p^2+16p$

The final expression will be

$\frac{p^2 - 16} {4p^2 + 16}$

8 0

2 years ago

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just olya [345]

Answer:

1. c.15

2. a.-12

lines mean absolute value. (never negative unless the negative signs on the outside of the lines)

4 0

3 years ago