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kupik [55]
3 years ago
13

Which of the following statements is true?

Mathematics
1 answer:
andrezito [222]3 years ago
3 0
The correct answer is C.


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Question 1 (5 points)
Ivan

Answer:

  f(6) ≈ 31

Step-by-step explanation:

If f(x) varies directly with x, we can write f(x) this way:

  f(x) = kx

Using the given values, we can find k:

  f(25) = k×25 = 130

  k = 130/25 = 5.2

Then for x = 6, we have ...

  f(x) = 5.2x

  f(6) = 5.2×6 = 31.2

Rounded to the nearest whole number, ...

  f(6) ≈ 31

6 0
2 years ago
Identify the similar triangles them find the x
Alex Ar [27]

Answer:

ADB and ABC are similar

x = 8

Step-by-step explanation:

hypotenuse in ADB = \sqrt{4^2 + 2^2 } = \sqrt{20}

since two triangles are similar,

\frac{2+x}{\sqrt{20} } = \frac{\sqrt{20}}{2}

solving for x, x=8

4 0
3 years ago
A weather balloon is 529 meters above the ground. Two weather stations, A and B, monitor the balloon’s progress. A weather ballo
marta [7]

Answer:

A, C, D

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The population of a city is expected to increase by 7.5% next year. If p represents the current population, which expression rep
qaws [65]

Answer:

Population next year = 1.075p

Step-by-step explanation:

The current population can be represented by 1 p the increase in the population number by next year is 7.5% p or 7.5/100 p that equals to 0.075p. The expression that represents the expected population by next year is:

Population next year = This year population + expected growth

Population next year = 1p + 0.075p = 1.075p

4 0
3 years ago
Read 2 more answers
The two non-parallel sides of an isosceles trapezoid are each 7 feet long. The longer of the two bases measures 22 feet long. Th
Orlov [11]

The length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.

<h3>How to determine the length</h3>

The cosine rule is given as;

c = \sqrt{a^2 + b^2 - 2ab cos \alpha }

c = length of the diagonal

a = base length = 22 feet

b = 7 feet

c = \sqrt{7^2 + 22^2 - 2 * 7 * 22 cos 40}

c = \sqrt{533 - 308 * 0. 7660}

c = \sqrt{533 - 235. 93}

c = \sqrt{297. 072}

c = 17. 24 feet

Using sine rule

\frac{a}{sin A }  = \frac{c}{sin C}

\frac{a}{sin 70}  = \frac{17. 24}{sin 40}

Cross multiply

a × sin 60 = c × sin 70

a × 0. 8660 = 17. 24 × 0. 9397

a = \frac{16. 20}{0. 8660}

a = 18. 7 feet long

Thus, the length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.

Learn more about  isosceles trapezoid here:

brainly.com/question/10187910

#SPJ1

5 0
2 years ago
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