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kherson [118]
3 years ago
14

Answers to 7 and 8 please (:

Mathematics
1 answer:
SpyIntel [72]3 years ago
7 0
7) Skateboarding down a hill or a ramp. Rolling a ball on the floor. Going up and down the ramp of a moving truck. 

8) Throwing a ball into the air and then catching it. Skateboarding a half-pipe. Shooting a basketball. Hitting a baseball. 
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In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.
Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M

In the right triangle, two acute angles are always complementary, so

m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}

Thus,

MH=1.43\cos 69^{\circ}\approx 0.51\ cm

7 0
3 years ago
Identify which of the following is most appropriate: discrete random variable, continuous random variable, or not a random varia
liraira [26]

Answer:

A.) Continuous random variable ;Not a random variable ; Discrete random Variable ; Continuous random variable ; discrete random variable

Step-by-step explanation:

Identify which is most appropriate category for the sample data given below :

a. Exact weights of the next 100 babies born in the United States

This is a continuous random varibake as it could take up any value including decimals in other to specify the exact weight of an individual.

b. Responses to the survey question "Which political party do you prefer?"

Not a random variable as the outcome to this question isn't numerical.

c. Numbers of spins of roulette wheels required to get the number 7

This is a discrete random variable as the number of roulette spins would be a whole number within a specified fic range.

d. Exact foot lengths of humans

Continuous random variable

The exact foot length of human would vary greatly and in a bid to give an exact value, foot length will most definitely take up decimal values

e. Shoe sizes (such as 8 or 8½) of humans.

This is also a discrete random variable as shoe sizes are restricted to a specific range. Even with the inclusion of 1/2 in the measurement, there are no values inbetween (8 and 8 1/2) which will be the same for the remaining value range.

5 0
3 years ago
What are the first three terms of a geometric sequence in which a5= 25 and the common ratio is 5?
shepuryov [24]

Answer:

1/25, 1/5, 1

Step-by-step explanation:

8 0
3 years ago
Marcus is 5 7/24 feet tall Ben is 5 5/16 feet tall which of the two boys is taller? Justify your answer
FromTheMoon [43]
To figure out who is taller, we can take each mixed number and find a common denominator.

5/16 (x3) 15/48
7/24 (x2) 14/48

This tells us that Ben is taller because Marcus is shorter than him by 1/48.
5 0
3 years ago
Read 2 more answers
Simplify
guapka [62]
The first is a. you can rewrite it
\sqrt{x^5} = \sqrt{x^2x^2x} = \sqrt{x^2}\sqrt{x^2}\sqrt{x} = xx\sqrt{x} = x^2\sqrt{x}

the second is d. the only common factor between 20 and 40 that can be taken out is the 4 which becomes a 2, but inside the square roots there is still a 5 and 10, which cannot be combined

the third is c.
\sqrt{36x} + \sqrt{100x} - \sqrt{25x} \\ 6\sqrt{x}+10\sqrt{x}-5\sqrt{x} \\ 11\sqrt{x}

the fourth is d.
add 3 to both sides \sqrt{2x} = 10
then square both sides 2x=100
then divide both sides by 2, x=50
3 0
3 years ago
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