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PSYCHO15rus [73]
4 years ago
8

A motorcycle travels north along

Mathematics
1 answer:
Sindrei [870]4 years ago
7 0

Answer:

42 mph

Step-by-step explanation:

From 2 p.m. to 6 p.m. 4 hours passed, so the truck and the motorcycle were on the road for 4 hours until they met.

Motorcycle in 4 hours at a constant speed of 45 mph travelled

45\cdot 4=180\ miles

The distance between the motorcycle and the truck is 348 miles, so the truck travelled

348 -180=168\ miles

If x mph is truck's speed, then

168=4\cdot x\\ \\x=\dfrac{168}{4}=42\ mph

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Let AB = 24, AC = 10 and BC = 26.
nata0808 [166]

Answer:

a) 24

b) 10

c) 12/13

d) 5/13

e) 12/5

Step-by-step explanation:

a) We can see that the leg opposite <C is AB, and we are given AB = 24

b) We can see the leg adjacent to <C is AC, and we are given that AC = 10

c) The trig function sine is equal to

\frac{opposite}{hypotenuse}

The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:

sin(c) = \frac{24}{26} = \frac{12}{13}

d)The trig function cosine is equal to

\frac{adjacent}{hypotenuse}

The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:

cos(c) = \frac{10}{26} = \frac{5}{13}

d)The trig function tangent is equal to

\frac{opposite}{adjacent}

The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:

tan(c) = \frac{24}{10} = \frac{12}{5}

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A) prove that MQX is congruent to MRY
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Side MQ is similar to side MR.

- This is because since M is the mid point of QR, both MQ and MR are half of QR.

Angle MXQ and MYR are 90°

Sides QX and RY are similar.

- This is because angle X and Y are 90° and MQ and MR are equal.

∴ MQX is congruent to MRY.

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