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puteri [66]
3 years ago
14

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Mathematics
1 answer:
statuscvo [17]3 years ago
6 0

Answer:

2√3

Step-by-step explanation:

Our focus is going to be on Triangle CDB,

BC = 4

∠DBC = 60°

Using SOH CAH TOA, we have;

Sine  60° = opposite / Hypotenus

√3/2 = CD / 4

4 *  √3/2  = CD

CD = 2 * √3

CD = 2√3

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A square pyramid has a height of 6 units and a volume of 70 units3. If a square prism has the same base area and volume as the s
Svetach [21]

Answer:

The height of the prism is h=2\ units

Step-by-step explanation:

step 1

Find the area of the base of the pyramid

The volume of the pyramid is equal to

V=\frac{1}{3}Bh

where

B is the area of the base of pyramid

h is the height of the pyramid

we have

V=70\ units^{3}

h=6\ units^{3}

substitute and solve for B

70=\frac{1}{3}B(6)

70=2B

B=35\ units^{2}

step 2

Find the height of the prism

The volume of the prism is equal to

V=Bh

where

B is the area of the base of prism

h is the height of the prism

we have

V=70\ units^{3}

B=35\ units^{2}

substitute and solve for h

70=35h

h=2\ units

6 0
4 years ago
An automobile has a price of $16,000 after being discounted 20%. what is the original price?
stepan [7]
 <span>$16,000 / (100% - 20%) = $16,000 / .8 = $20,000 
to verify, work the answer backwards. 
$20,000 - $20,000 * 20% = $20,000 - $4,000 = $16,000 
</span>
6 0
3 years ago
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