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alukav5142 [94]
3 years ago
12

Solve: 49x2 − 60 = 0

Mathematics
1 answer:
givi [52]3 years ago
3 0

Answer:

C. x = −1.11 and x = 1.11

Step-by-step explanation:

1. I assume you meant 49x^2-60, not 49x2-60.

2. Plug the numbers into the quadratic formula and simplify.

a=49 b=0 c=-60

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A train must climb a constant gradient of 5.5m for every 200m on track. Find the angle of incline
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<span>angle = arcsin(5.5/200) = 1.575 degrees</span>
4 0
3 years ago
Read 2 more answers
The angle of elevation of the top of a pole as seen from a point 13 ft away from the base is double its angle of elevation as se
spayn [35]

The height of the pole above the level of the observer's eyes is 31.42 ft

Let the angle of elevation of the top of the pole from a point 47 ft away be α.

Let the angle of elevation of the top of the pole from the point 13 ft away be β.

Since the angle of elevation of a point 13 feet away is twice that from 47 ft away, we have that β = 2α.

If the height of the pole above the level of the observer's eye is h, we have that

tanβ = tan2α = h/13 and tanα = h/47

From trigonometric identities tan2α = 2tanα/(1 - tan²α)

Substituting the values of the variables into the equation, we have

tan2α = 2tanα/(1 - tan²α)

h/13 = 2h/47 ÷ [1 - (h/47)²]

Dividing through by h, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

Cross-multiplying, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

1 - (h/47)² = 2/47 × 13

1 - (h/47)² = 26/47

(h/47)² = 1 - 26/47

(h/47)² = (47 - 26)/47

(h/47)² = 21/47

Taking square-root of both sides, we have

h/47 = √(21/47)

Cross-multiplyng, we have

h = √(21/47) × 47

h = √(21 × 47)

h = √987

h = 31.42 ft

The height of the pole above the level of the observer's eyes is 31.42 ft

Learn more about height of a pole here:

brainly.com/question/10375496

4 0
2 years ago
Write an algebraic expression for 3 times x 2 times x minus 4 times x
Tpy6a [65]

Answer:

(3+2)x - 4x

Step-by-step explanation:

I just converted the words, turned them to operations and that's it!

Hope this helps! :D

- Anna

8 0
3 years ago
The circumference of a circle is 314 units. What is the area?
german

Answer:

7850 square units

Step-by-step explanation:

According to the question;

  • Circumference of a circle is 314 units;

We are required to find the area of the circle;

  • First, we need to ask ourselves how we get the perimeter of a circle;

Perimeter of a circle = pi × D or 2 pi r

Therefore;

Rearranging the formula;

D = Perimeter ÷ pi

Taking pi to be 3.14

Then;

Diameter = 314 units ÷ 3.14

              = 100 units

But, radius = Diameter ÷ 2

                  = 100 units ÷ 2

                  = 50 units

We also need to know how we calculate the area of a circle;

Area of a circle = pi×r²

Therefore;

Taking pi as 3.14

Then, Area = 3.14 × 50²

                   = 7850 square units

Thus, the area of the circle is 7850 square units

4 0
3 years ago
Flora drew the following graph to answer the question. What was her mistake when she drew her graph?
slamgirl [31]

Answer:

She drew the graph too steep, if she is going down at a constant rate of 300 ft per hour, at 1 hour she would be at 2,700 ft. it would take her about 10 hours to get down the mountain.

7 0
3 years ago
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