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2 years ago

In the diagram below, transversal t intersects parallel lines I and m.

Mathematics

1 answer:

Black_prince [1.1K]2 years ago

6 0

Step-by-step explanation:

x+10=116

x=116-110

=106

x=106

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If a 24-foot ladder makes a 58 degree angle with the ground, how many feet up a wall will it reach? Round your answer to the nea

mash [69]

Answer: 20.4 feet

Step-by-step explanation:

(image attached for reference)

To find how high the ladder reaches on the wall, first find the relationship between the angle and the wall. The wall is opposite to the angle, so it's possible to solve this equation using sin(58). Sine equals opposite over hypotenuse so sin(58) = x/24. Multiply 24 on both sides to get an equation that can be plugged into a calculator of 24sin(58) = x.

24sin(58) = 20.35, which gets rounded up to a final answer of 20.4 feet.

8 0

2 years ago

What is the cosine of angle F A. 4/5 B. 3/4 C. 5/4 D. 3/5

saveliy_v [14]

Answer: option D

Step-by-step explanation:

Remember the cosine identity:

$cos\alpha=\frac{adjacent}{hypotenuse}$

Given the right triangle DFE shown in the image, you can identify that the adjacent side and the hypotenuse for the angle F of this triangle are:

$adjacent=15\\hypotenuse=25$

Now you can substitute values into $cos\alpha=\frac{adjacent}{hypotenuse}$ and then reduce the fraction.

THerefore you get: $cos(F)=\frac{15}{25}\\\\cos(F)=\frac{3}{5}$

6 0

3 years ago

Read 2 more answers

HW5 Box Plot (grade) Categorical Data 6th grade

Anit [1.1K]

Step-by-step explanation:

5 0

3 years ago

P(t) = 2ť + 10 n(t) = 4 What’s the function (p+n) (t)?

Evgen [1.6K]

Answer:

$\boxed{\sf (p + n)(t) = 2t + 14}$

Given:

$\sf p(t) = 2t + 10 \\ \sf n(t) = 4$

To find:

$\sf (f + g)(x) = f(x) + g(x)$

Step-by-step explanation:

$\sf \implies(f + g)x = f(x) + g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2t + 10) + ( 4) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2t + 10 + 4 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2t + 14$

7 0

3 years ago

Please help as soon as possible

Mice21 [21]

1 kilometer = 1000 meters so 12 kilometers = 12000 meters

10 laps (400 meters/lap) = 4000 meters

12000/4000 = 3

Answer: 3 days

4 0

3 years ago