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AnnyKZ [126]
3 years ago
8

Last question please help((: #10

Mathematics
2 answers:
GrogVix [38]3 years ago
6 0
We would use the sine function because we have an angle the hypotenuse, and the unknown opposite side.

sin(x)=opposite/hypotenuse
sin(60)=x/30
√3/2=x/30 (cross multiply)
30*√3/2=x (divide numerators and denominators by 2)
x=15√3 ft. 
So the correct answer is A

Hope this helps
ikadub [295]3 years ago
3 0
I think it is d becuz u 60-30 = 30 and devide that by 2 which is 15 qwhich the square in the corner is an equal of 2
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If \: x + y + z = 0 \: then \: show \: that \: {x}^{3} + {y}^{3 } + {z}^{3} =3xy<br>​
tankabanditka [31]

Answer:

Given

x+y+z=0

⟹x+y=−z

Cubing on both sides

(x+y) 3 =(−z) 3

⟹x 3 +y 3 +3x 2y+3xy 2 =−z 3

⟹x 3 +y 3 +3xy(x+y)=−z 3

⟹x 3+y 3+3xy(−z)=−z 3

⟹x 3 +y 3−3xyz=−z 3

⟹x 3 +y 3 +z 3 =3xyz

Step-by-step explanation:

Hope it is helpful.....

8 0
3 years ago
You have exatly 200 feet of fencing to enclose 2 adjacent square regions. assuming you use all the fencing provided what will th
bekas [8.4K]
Adjacent so that means 1 wall will be shared

each square has 4 sides,
but they share a side so 4+4-1=7 sides total

200 divided by 7 sides=200/7 ft per side

the area of a square is side^2
side=200/7
so area=(200/7)^2=40000/49
that's for 1 square
times 2
80000/49 square feet
about 1632.6530612244897959183673469388 square feet
rounded is 1633 square feet

7 0
3 years ago
PLEASE PLEASE HELP ​
nekit [7.7K]

Answer:68.3 degrees

Step-by-step explanation:

The diagram of the triangle ABC is shown in the attached photo. We would determine the length of side AB. It is equal to a. We would apply the cosine rule which is expressed as follows

c^2 = a^2 + b^2 - 2abCos C

Looking at the triangle,

b = 75 miles

a = 80 miles.

Angle ACB = 180 - 42 = 138 degrees. Therefore

c^2 = 80^2 + 75^2 - 2 × 80 × 75Cos 138

c^2 = 6400 + 5625 - 12000Cos 138

c^2 = 6400 + 5625 - 12000 × -0.7431

c^2 = 12025 + 8917.2

c = √20942.2 = 144.7

To determine A, we will apply sine rule

a/SinA = b/SinB = c/SinC. Therefore,

80/SinA = 144.7/Sin 138

80Sin 138 = 144.7 SinA

SinA = 53.528/144.7 = 0.3699

A = 21.7 degrees

Therefore, theta = 90 - 21.7

= 68.3 degees

8 0
3 years ago
Determine the equivalent system for the given system of equations.<br> 4x - 5y = 2<br> 3x - y = 8
kondor19780726 [428]
4x − 5y = 2
7x + 6y = 10
4 0
3 years ago
Solve for n: 3(n+6)≥3n+8
hodyreva [135]

Answer:

infinite solutions

Step-by-step explanation:

3(n+6)≥3n+8

3n+18≥3n+8 (distributive property)

18≥8 (subtracted 3n from both sides)

this will always be true so there are infinite solutions

7 0
3 years ago
Read 2 more answers
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