A private plane is traveling due east at a rate of 160 mph. A south wind is blowing 30 mph. What is the actual velocity of the p
lane?
A. ≈ 157 mph
B. ≈ 190 mph
C. ≈ 130 mph
D. ≈ 163 mph
A. ≈ 157 mph
B. ≈ 190 mph
C. ≈ 130 mph
D. ≈ 163 mph
1 answer:
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Answer:
Part A:
Part B. All angles are same, so the triangles are similar.
Part C. RP = 8
Step-by-step explanation:
We are given a right angled triangle with
.
PS is perpendicular to the hypotenuse RQ of and S lies on RQ.
Part A:
To identify the pair of similar triangles.
.
Part B:
To identify the type of similarity.
Kindly refer to the image attached in the answer area.
Let us consider the triangles .
Also, is common to both the triangles under consideration.
Now, we can see that two angles of two triangles are equal.
So, third angle of the two triangles will also be same.
i.e. All three angles of two triangles are equal to each other.
So, by A-A-A (Angle - Angle - Angle) similarity, we can say that .
Part C:
RS = 4
RQ = 16, Find RP.
There is one property of similar triangles that:
The ratio of corresponding sides of two similar triangles is equal.
i.e.
Answer:
Margarita gastó <u>$40.43.</u>
Step-by-step explanation:
Tenemos la siguiente información.
<u>km recorridos por Margarita</u>
42 km - ciudad
387 km - autopista
<u>Rendimiento del carro</u>
1 galon cada 28 km - ciudad
1 galon cada 36 km - autopista
Hacemos el siguiente factor de conversión
<u>Ciudad</u>
<u>Autopista</u>
Ahoa, se sabe que 1 galon cuesta $3.30. Por lo tanto, el costo de viaje será:
Total galones = 1.5 + 10.75 = 12.25 galones
Total costo = 3.30*12.25 = $40.43.
Espero te haya servido!