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3 years ago

A gift box is 14 inches long, 8 inches wide, and 4 inches high. How much wrapping paper is needed to wrap the gift box?

Mathematics

2 answers:

aliina [53]3 years ago

8 0

Answer:

Option C is correct

The wrapping paper is needed to wrap the gift box is, 400 in²

Step-by-step explanation:

Surface area of the prism(S) is given by:

$S =2(lw+wh+hl)$

where, l is the length , w is the width and h is the height of the box receptively.

Given that:

A gift box is 14 inches long, 8 inches wide, and 4 inches high

⇒ l = 14 inches, w = 8 inches and h = 4 inches

Substitute these in [1] we have;

$S = 2(14 \cdot 8 + 8 \cdot 4 + 4 \cdot 14) = 2(112+32+56) = 2(200) = 400 in^2$

Therefore, wrapping paper is needed to wrap the gift box is, 400 in²

Mazyrski [523]3 years ago

4 0

We will use the formula for finding the surface area of a rectangular prism.

Formula =

SA = 2 (wl+hl+hw)SA = 2 (8·14 + 4·14 + 4·8)
SA = 2 (112 + 56 + 32)
SA = 2 (200)
SA = 400

The gift box needs C) 400 in wrapping paper to wrap the gift box.

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Find the angle measures. Justify your responses. Given: a||b, m1=71º Find m5, m8

Natalka [10]

Answer:

The measure of angle MNP is

m ∠ MNP = (x - y)/2

Explanation:

The image attached shows the figure corresponding to this question.

The angle MNP, which is also the angle LNP, is formed by the intersection of a secant and a tangent to a circle.

Then, you can use the theorem:

the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.

The major arc formed is identified with the letter x and the minor arc is identified with the letter y. Thus, the measure of the angle MNP is half the difference x - y:

m ∠ MNP = (x - y)/2

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2 years ago

1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the

Mice21 [21]

Answer:

Part 1) Helen's age is 32 years old and Jane's age is 24 years old

Part 2) 13 twenty-dollar bills

Step-by-step explanation:

Part 1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the equation?

Let

x----> Helen's age

y---> Jane's age

we know that

x=y+8 ----> equation A

(x-20)=3(y-20) -----> equation B

substitute equation A in equation B and solve for y

(y+8-20)=3(y-20)

y-12=3y-60

3y-y=60-12

2y=48

y=24 years

Find the value of x

x=y+8

x=24+8=32 years

Part 2)

Let

x-----> the number of five-dollar bills

y----> the number of twenty-dollar bills

we know that

5x+20y=305 -----> equation A

y=x+4 ------> x=y-4 ------> equation B

substitute equation B in equation A and solve for y

5(y-4)+20y=305

5y-20+20y=305

25y=325

y=13 twenty-dollar bills

Find the value of x

x=y-4

x=13-4=9 five-dollar bills

5 0

3 years ago

Candice bought 4 boxes of cereal. If each box costs $3.75 and c represents how much she spent in all, which equation represents

jekas [21]

Answer:

c=4×$3.75

Step-by-step explanation:

It would be the problem above because c is the total which equals the total of 4×$3.75.

5 0

3 years ago

Read 2 more answers

Solve the following system of equations and show all work. y = -x^2 + 4 y = 2x + 1

Pavel [41]

-x^2 + 4 = 2x + 1
-x^2 - 2x + 4 - 1 = 0
-x^2 - 2x + 3 = 0
(x + 3)(-x + 1)= 0

x + 3 = 0 -x + 1 = 0
x = -3 -x = -1
x = 1

so x = -3 and x = 1

8 0

3 years ago

Ray delivered 3/8 of the newspapers on his route in the first hour and 4/5 of the rest in the second hour what fraction of the n

Temka [501]

Answer:

$\frac{1}{2}$

Step-by-step explanation:

Let the total number of Newspapers be x

Number of newspapers delivered in first hour of his route= $\frac{3}{8}$ of x

Total number of newspapers delivered in first hour= $\frac{3}{8}$ x

Number of newspapers left= x- $\frac{3x}{8}$

Number of newspapers left= $\frac{8x-3x}{8}$

Number of newspapers left= $\frac{5x}{8}$

Number of newspapers delivered in second hour=4/5 of $\frac{5x}{8}$

Number of newspapers delivered in second hour= $\frac{x}{2}$

Fraction of newspapers delivered in second hour is= $\frac{1}{2}$

Hence, the correct answer is $\frac{1}{2}$

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3 years ago