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Roman55 [17]
2 years ago
11

a person's rectangular dog pen for his dog must have an area of 300 square feet also the length must be 40 feet longer than the

width find the dimensions of the pen
Mathematics
1 answer:
Tema [17]2 years ago
4 0
The with should be 7.5 feet
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Find the volume of the sphere shown to the right. Give an answer in terms of pi and rounded to the nearest cubic unit.
Vladimir [108]
The correct answers are:
Exact volume = V = \frac{32}{3} \pi in^3
Approximate volume = V = 33.51 in^3 

Explanation:

The volume of the sphere is: V = \frac{4}{3} \pi r^3

Since r = 2 in

Hence
V = \frac{4}{3} \pi (2)^3 \\ V =  \frac{32}{3} \pi in^3 (exact)
V = 33.51 in^3 (approximate)
5 0
3 years ago
If LaTeX: m\angle ABF=8s-6m ∠ A B F = 8 s − 6 and LaTeX: m\angle ABE=2\left(s+11\right)m ∠ A B E = 2 ( s + 11 ), find LaTeX: m\a
kolbaska11 [484]

Answer:

<h2><em>2(3s-14)</em></h2>

Step-by-step explanation:

Given the angles ∠ABF=8s-6, ∠ABE = 2(s + 11), we are to find the angle ∠EBF. The following expression is true for the three angles;

∠ABF = ∠ABE + ∠EBF

Substituting the given angles into the equation to get the unknown;

8s-6 = 2(s + 11)+ ∠EBF

open the parenthesis

8s-6 = 2s + 22+ ∠EBF

∠EBF = 8s-6-2s-22

collect the like terms

∠EBF = 8s-2s-22-6

∠EBF = 6s-28

factor out the common multiple

∠EBF = 2(3s-14)

<em></em>

<em>Hence the measure of angle ∠EBF is 2(3s-14)</em>

8 0
3 years ago
What is 90 is exponential form?<br> 2^__ * 3^__ * 5^__
Sloan [31]
90/2=45
45/3=15
15/3=5


90=2*3*3*5=2¹*3²*5¹
3 0
2 years ago
What is the length of missing side JK? Round Answer to nearest tenth please.
zvonat [6]

Given:

Triangle LJK.

LJ = 89 in, LK = 28 in and m∠L = 42°

To find:

The length of missing side JK.

Solution:

LJ = k = 89

LK = j = 28

JK = l = ?

Using law of cosine:

l^{2}=j^{2}+k^{2}-2 jk \cdot \cos L

Substitute the given values.

l^{2}=28^{2}+89^{2}-2 \cdot 28 \cdot 89 \cdot \cos 42^\circ

l^{2}=784+7921-4984 \cdot (0.7)

l^{2}=784+7921-4984 \cdot (0.7431)

l^{2}=784+7921-3703.6

l^{2}=5001.4

Taking square root on both sides.

l=70.7

The length of the missing side is 70.7 in.

4 0
3 years ago
Friends?<br>.............................
Vlad [161]
Ok sure—————-_______—-____
7 0
3 years ago
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