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3 years ago

What is the surface area of the rectangular prism below? 7 7 14

Mathematics

1 answer:

viktelen [127]3 years ago

4 0

Answer:

I would try to help but there is no picture

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Wayne is hanging a string of lights 58 feet long around the three sides of his patio, which is adjacent to his house. The length

podryga [215]

Answer:

The length of the patio is 32 ft and the width is 13 ft

Step-by-step explanation:

see the attached figure to better understand the problem

Let

L ----> the length of his patio

W ---> the width of his patio

we know that

$L+2W=58$ ----> equation A

$L=2W+6$ ----> equation B

substitute equation B in equation A and solve for W

$2W+6+2W=58$

$4W+6=58$

$4W=58-6$

$4W=52$

$W=13\ ft$

Find the value of L

$L=2W+6$ ----> $L=2(13)+6=32\ ft$

therefore

The length of the patio is 32 ft and the width is 13 ft

3 0

3 years ago

Dennis and Ivy share some sweets between them in the ratio 7:4 Dennis got 42 sweets. How many does ivy get

MrRa [10]

Answer:

$Ivy = 24$

Step-by-step explanation:

Given

$Dennis : Ivy = 7 : 4$

Required

Determine the amount of sweet Ivy gets when Dennis = 42

We have:

$Dennis : Ivy = 7 : 4$ and

$Dennis = 42$

Substitute 42 for Dennis in $Dennis : Ivy = 7 : 4$

$42 : Ivy = 7 : 4$

Convert to fraction

$\frac{42}{Ivy} = \frac{7}{4}$

Cross Multiply:

$Ivy * 7 = 42 * 4$

Divide through by 7

$\frac{Ivy * 7}{7} = \frac{42 * 4}{7}$

$Ivy = \frac{42 * 4}{7}$

$Ivy = 6* 4$

$Ivy = 24$

6 0

3 years ago

Which shows one way to determine the factors of x^3-12x^2-2x+24

SashulF [63]

Hello,
x^3-12x²-2x+24=x²(x-12)-2(x-12)=(x-12)(x²-2)
=(x-12)(x-√2)(x+√2)

8 0

3 years ago

Two number cubes are rolled in a board game. What is the probability that both number cubes land on the same number?

allsm [11]

50% chance they will land on the same number and there’s also a 50% chance they won’t.

5 0

3 years ago

An amusement park has discovered that the brace that provides stability to the ferris

antiseptic1488 [7]

Answer:

Hence the correct answer is option (A) 4.708.

Step-by-step explanation:

Solution:-

Now, we need to find the angle of the sector by using sector formula,

$A = 28.25 ft^{2} \\r = 12ft.\\\\28.25 = \frac{\theta}{360^{o} } \times \pi \times 12^{2} \\\\\theta=\frac{28.25\times 360}{12 \times12 \times \pi} \\\\\theta =( \frac{70.625}{\\pi} )^{o}$

We now convert the angle to radian

$\theta = \frac{70.625}{\pi} \times \frac{\pi}{180}\\\\\theta = 0.39236 radian$

Now we calculate the length of arc by arc formula

$\theta=\frac{I}{12} \\\\0.39236 =\frac{I}{12}\\\\I = 4.708 feet.$

So, The length of steel that must be replaced is 4.708 ft.

4 0

3 years ago