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3 years ago

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

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