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Ivahew [28]
3 years ago
6

Find the value of x to the nearest tenth. 9.0 8.6 26.3 5.7

Mathematics
1 answer:
Ket [755]3 years ago
5 0

Answer: x = 9.0

Step-by-step explanation:

From the given right angle triangle,

the hypotenuse of the right angle triangle is x

With m∠39 as the reference angle,

the adjacent side of the right angle triangle is 7

The unknown side represents the opposite side of the right angle triangle.

To determine x, we would apply

the cosine trigonometric ratio which is expressed as

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 39 = 7/x

x = 7/cos 39 = 7/0.777

x = 9.0 to the nearest tenth

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Rental of space = $68 per guest; Downpayment = 25% of total cost; Payment due one month before the reception includes a 7.4% int
liq [111]

This question is incomplete, the complete question is;

PROBLEM SOLVING WITH PERCENTS: You are planning a wedding reception for 75 guests that will take place in exactly 10 months. There are two different sites that you are contemplating using, with the stipulations on payments as described below. Determine the TOTAL cost of renting each location.

Rental of space = $68 per guest; Down payment = 25% of total cost; Payment due one month before the reception includes a 7.4% interest payment on the balance.

Answer:  Total Cost of Renting = $5312.29

Step-by-step explanation:

Given that;

Rental space = $68 per guest, down payment = 25%,  7.4% interest payment on the balance.

Total Cost of Renting = Down Payment + Remaining payment

Total Cost of Renting = $68 × Guests × 25% + ($68 × Guest - Down payment) ×  (1 + Interest *9/12)

Total Cost of Renting = $68 × 75 × 25% + ($68 × 75 - Down payment) × (1 + 7.40% × 9/12)

Total Cost of Renting = $1275 + ($5100 - 1273) × (1.0555)

Total Cost of Renting = $1275 + 4037.29

Total Cost of Renting = $5312.29

4 0
3 years ago
For f (x) = 2x+1 and g(x) = x2-7, find (f 3)(x).
Lerok [7]

It would be 4x +8

Step-by-step explanation: combine like terms 2x and 2x would be 4x and add 7 and one

3 0
3 years ago
A rotating light is located 20 feet from a wall. The light completes one rotation every 3 seconds. Find the rate at which the li
ss7ja [257]

Answer:

43.17 ft/s

Step-by-step explanation:

Let the height of the wall is y.

distance of wall from light is 20 feet.

tan\theta =\frac{y}{20}    

y = 20 tanθ    .... (1)

time period, T = 3 second

\frac{d\theta}{dt}=\frac{2\pi}{3}

Differentiate equation (1) with respect to t.

\frac{dy}{dt}=20sec^{2}\theta\times \frac{d\theta}{dt}

\frac{dy}{dt}=20sec^{2}10\times \frac{2\pi}{3}

dy/dt = 20 x 2.16

dy/dt = 43.17 ft/s

4 0
3 years ago
A truck is carrying 7 cars weighing an average of 3,000 pounds each. What is the total weight in tons of the cars on the truck?
Gelneren [198K]

Answer:

1 2 and 3

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
F(x) = 2x and g(x) = x + 1, find f(3) and find gf(3)
lord [1]

Answer:

6 and 7

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x) , that is

f(3) = 2(3) = 6

To evaluate g(f(3)), substitute f(3) = 6 into g(x)

g(6) = 6 + 1 = 7

8 0
2 years ago
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