<span>Solution:
We have:
length = a = 3x
</span><span>width = b = x
</span>height = h = 2x
<span>area of the base of the prism = c
</span>volume of the prism = v = 2058 cm³
Use: c = (3x)(x)
c = 3x²
Use: v = (3x²)(2x)
v = 6x³
2058 = 6x³
6x³ = 2058
x³ = 2058 / 6
x³ = 343
x = ∛343
x = 7
a = 3x
a = 3(7)
a = 21
b = x
b = 7
h = 2x
h = 2(7)
h = 14
c = 3x²
c = 3(7)²
c = 3(49)
c = 147
a = 21 cm
b = 7 cm
h = 14 cm
c = 147 cm²
Answer:
Step-by-step explanation:
- The two given angles are complementary, it means they add to 90°
<u>Find x:</u>
- 2x + 10 + x + 8 = 90
- 3x + 18 = 90
- 3x = 72
- x = 24
<u>Find Y:</u>
- m∠Y = x + 8 = 24 + 8 = 32°
If a company makes two discounts with one being made first and then another, the equivalent discount is 37%.
<h3>What was the equivalent discount?</h3>
Assume that the price of a good in the company was $10.
The initial discount of 30% takes the price to:
= 10 x ( 1 - 30%)
= $7
Then there is a 10% discount:
= 7 x (1 - 10%)
= $6.30
The equivalent discount is:
= (10 - 6.3) / 10
= 37%
Find out more on equivalent discount at brainly.com/question/843074.
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-x+5y=20
5y=x+20
12y=2x+60
6y=x+40
x+20+y=x+40
-x from each side:
20+y=40
-20 from each side:
y=20
-x+5*20=20
-x+100=20
-100 from each side:
-x=-80
x=80
y=20
x=80
Hope this helps :)
Answer:
Because she ate too much chicken
Step-by-step explanation:
Im hungry *eats chicken*
Time for school *goes on bus*
Math time *goes to math class*
I ate too much chicken *barfs*