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Alex17521 [72]
3 years ago
12

When written in symbols, “the product of r and s, raised to the fourth power,” is represented as:

Mathematics
1 answer:
ElenaW [278]3 years ago
5 0
Rs^4 or in words, rs to the power of 4
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A room 9m wide has a span roof which slopes at 34 degrees on one side and 44 degrees on the other. Find the length of the roof s
ivann1987 [24]

Answer:

Slope sides are;

5.07 m and 6.39 m

Step-by-step explanation:

I've attached a drawn diagram showing a triangle representing the roof slopes and I have attached it.

From the image attached, the missing angle is θ.

From sum of angles in a triangle,

θ = 180 - (44 + 34)

θ = 102°

Now, a & b represent the slopes of the roof.

Thus, using law of sines which is that;

a/sin A = b/sin B = c/sin C, we can solve as follows;

a/sin 34 = 9/sin 102

a = (9 × sin 34)/sin 102

a = (9 × 0.5512)/0.9781

a = 5.07 m

b/sin 44 = 9/sin 102

b = (9 × sin 44)/sin 102

b = (9 × 0.6947)/0.9781

b = 6.39 m

4 0
3 years ago
What are the next two terms after 1, 4, 6, 24, 26
vlada-n [284]

Next two: 28 and 112

6 0
3 years ago
A transaction is positive if there is a sale and negative when there is a return. Each time a customer uses credit card for a tr
anastassius [24]

Full question:

A transaction is positive if there is a sale and negative when there is a return. Each time a customer uses credit card for a transaction, the credit company charges Isabel. The credit company charges 1.5% of each sale and a fee of 0.5 % for returns

Let x represent the amount of a transaction and let f(x) represent the amount Isabel is charged for the transaction. Write a function that expresses f(x)

Answer:

f(x)= 0.015(x)

f(x)= 0.005(x)

Explanation:

If Isabel makes a sale, she has a positive transaction and therefore is charged 1.5%(which is 0.015) by the credit company for the transaction. If the product is returned, it is a negative transaction and the credit company charges 0.5%(which is 0.005) for the transaction. The functions for positive and negative transactions would be different as indicated in the answer since transactions( given by x) are different- positive and negative.

4 0
3 years ago
Suppose that F(x)= x^2 and G(x) 4/5 x^2. Which statements best compares the graph of G(x) with the graph of F(x)?
34kurt

Answer:

Step-by-step explanation:

C. The graph of G(x) is the graph of F(x) compressed vertically.

If, for example, x = 1, then F(1) = 1^2 = 1, while G(1) = (4/5)(1^2) = 4/5.

Note that G(1) < F(1); we say G(x) is a vertical compression of F(x).

8 0
2 years ago
Algebraically find the point where the cable and the strut intersect. Interpret your answer. (10 points)
sweet-ann [11.9K]

Answer:

√2x+8=x-8

2x+8=x^2-16x+64

-x^2+18x-56=0

x^2-18x+56=0

x(x-4)-14(x-4)=0

(X-4)(x-14)=0

x=4(extraneous) ,x=14

—> x=14

Step-by-step explanation:

8 0
3 years ago
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