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abruzzese [7]
3 years ago
12

larry packed his movies in a box that is in the shape of a rectangular prism. The height of the box is 17 inches. The length of

the box is 1.5 times the height. The volume of the box is 5,635.5 cubic inches. What is the width of the box?
Mathematics
1 answer:
Zolol [24]3 years ago
8 0
L = 1.5 × 17 = 25.5
h = 17
w = x
V = lhw
5635.5 = (25.5)(17)x
5635.5 = 433.5x
5635.5 ÷ 433.5 = x
x = 13 = w

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If x is an acute angle and tan x = 5,
lyudmila [28]
We have that
tan x=5

we know that
tan x =sin x/ cos x
sin x/ cos x=5------> squaring-----> sin² x/cos² x=25
remember that
sin² x+cos² x=1-----> cos² x=1-sin² x
substitute
sin² x/[1-sin² x]=25
sin² x=25-25*sin² x
26*sin² x=25
sin² x=25/26
sin x=5/√26

cos² x=1-(5/√26)²----> 1-(25/26)----> 1/26
cos x=1/√26

the answers are
sin x=5/√26
cos x=1/√26

4 0
3 years ago
Sharon earns $25 per item she sales plus a base salary of $100 per week. Write and solve an inequality to find how many items sh
artcher [175]
$25 per item sold + $100 per week = 700 total goal in 1 week

X is our items sold variable. We only use 100 since our goal is for only one week.
25x + 100 = 700

Subtract 100 from each side.
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Divide by 25.
x = 24

HOPE THIS HELPS!!
5 0
3 years ago
Jessica completed 20 haircuts in 8 hours. On average how many haircuts per hour did Jessica do?
jeka94

Answer:

two and a half

Step-by-step explanation:

3 0
3 years ago
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If you have
stich3 [128]
I think it's already in expanded form.
3 0
3 years ago
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4x-2(4x-6y) + 1/2(10x +8y)<br> Standard and factored form
WARRIOR [948]

Answer:

x+16y

Step-by-step explanation:

4x-2(4x-6y) + 1/2(10x +8y)

4x-8x+12y+5x+4y

x+16y

are you sure about what you have written?

5 0
3 years ago
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