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Firdavs [7]
4 years ago
5

A guy-wire is attached to a pole for support. If the angle of elevation to the pole is 67° and the wire is attached to the groun

d at a point 137 feet from the base of the pole, what is the length of the guy wire (round to 2 decimal places)?
Mathematics
1 answer:
Andrews [41]4 years ago
3 0
The angle = 67<span>° and the pole is a right-angled triangle. Therefore the distance required to find (say "x) is the angle opposite the right-angle. The following equation needs to be solved:

cos 67 = 137 / x

Solving for x;
x = 350.62 ft</span>
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Lacy opened a savings account and deposited $100. The account earns 6% interest compounded monthly if she wants to use the money
Dafna11 [192]

Answer:

Future Value= $112.72

Step-by-step explanation:

Giving the following information:

Initial deposit (PV)= $100

Number of periods (n)= 2*12= 24 months

Interest rate (i)= 0.06/12= 0.005

<u>To calculate the future value (FV), we need to use the following formula:</u>

FV= PV*(1 + i)^n

FV= 100*(1.005^24)

FV= $112.72

5 0
3 years ago
3. Kirk wanted to open a savings account with the $2,000 he had earned over the summer. If the bank's interest rate is 5%, how m
LenKa [72]

Answer:

$200 sorry if im wrong i tried

Step-by-step explanation:

to calculate the 5 percent:  2000/100=20 20x5=100

so 100x2=200

4 0
3 years ago
Find the area of the kite QRST. HELP PLEASE!!!
Svetradugi [14.3K]

ANSWER

D. 135 m^2

EXPLANATION

The area of a kite is half the product of the diagonals.

The first diagonal is

9m+6m=15m

Note that the vertical diagonal is the axis of symmetry of the kite.

This diagonal bisect the kite

Therefore the second diagonal is

2(9m)=18m

The area of the kite

=  \frac{1}{2}  \times 18 \times 15

= 9 \times 15

= 135 {m}^{2}

4 0
3 years ago
Read 2 more answers
What is the solution to the equation?<br> 2/3 x =10<br> A.15<br> B.30<br> C.6 1/2<br> D.6 2/3
attashe74 [19]
2/3 x=10
Multiply 3*(2/3 x)=3*10
2x=30
x=15
A is the answer
7 0
3 years ago
A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a side of the water tank.
Annette [7]

Given:

Volume of cubical tank = \dfrac{1000}{125} cubic meters.

To find:

The length of a side of the water tank.

Solution:

The volume of a cubical tank is:

V=a^3

Where, a is the side length.

It is given that the volume of cubical tank is \dfrac{1000}{125} cubic meters. So,

a^3=\dfrac{1000}{125}

a^3=\dfrac{(10)^3}{5^3}

Taking cube root on both sides, we get

a=\dfrac{10}{5}

a=2

Therefore, the length of a side of the water tank is 2 meters.

3 0
3 years ago
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