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3 years ago

Jason's mom drove at 100 km/h for a 160 km trip. How much longer would

Mathematics

2 answers:

Delvig [45]3 years ago

8 0

Answer:

10 minutes

Step-by-step explanation:

the trip wouldve taken 10 minutes longer because the car was going 10km slower

choli [55]3 years ago

4 0

Answer:

Here is the way to get the answer

Step-by-step explanation:We use the formule: t=S/v. So:

+ t1= 160/100 = 8/5 hrs = 5760''

+ t2= 160/90 = 16/9 hrs = 6400''

=> t2-t1= 6400 - 5760 = 640'' = 10'40''

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Select all the correct answers.

Wittaler [7]

If the measure of angle θ is 3π/4, the true statements are:

sin(θ) = √2/2.
The measure of the reference angle is 45°.

<h3>How to determine the true statements?</h3>

In Trigonometry, an angle with a magnitude of 3π/4 (radians) is equivalent to 135° (degrees) and it's found in the second quarter. Thus, we would calculate the reference angle for θ in second quarter as follows:

Reference angle = 180 - θ

Reference angle = 180 - 135

Reference angle = 45°.

Also, a terminal point for this angle θ is given by (-√2/2, √2/2) which corresponds to cosine and sine respectively. This ultimately implies that sin(θ) = √2/2.

tan(θ) = cos(θ)/sin(θ)

tan(θ) = [(-√2/2)/(√2/2)]

tan(θ) = -1

In conclusion, we can logically deduce that only options A and B are true statements.

Read more on terminal point here: brainly.com/question/4256586

#SPJ1

Complete Question:

If the measure of angle θ is 3π/4, which statements are true. Select all the correct answers.

A. sin(θ)=sqrt2/2

B. The measure of the reference angle is 45

C. The measure of the reference angle is 30

D. The measure of the reference angle is 60

E. cos(θ)=sqrt2/2

F. tan(θ)=1

6 0

2 years ago

An airport shuttle charges 15$ plus 1.15$ per mile. An equation is written as y = mx + b, where y is the cost for x miles. (plea

fomenos

Y=15$ and x=1.15$ per mile

8 0

3 years ago

The volume of a gas in a container varies inversely with the pressure on the gas. A container of helium has a volume of 370in3 u

Elan Coil [88]

Answer:

Step-by-step explanation:

When two variables vary inversely, it means that an increase in one would lead to a decrease in the other and vice versa. Since the volume of a gas, V in a container varies inversely with the pressure on the gas, P, if we introduce a constant of proportionality, k, the expression would be

V = k/P

If V = 370 in³ and P = 15psi, then

370 = k/15

k = 370 × 15 = 5550

The equation that relates the volume, V, to the pressure, P would be

V = 5550/P

if the pressure was increased to 25psi, the volume would be

V = 5550/25 = 222 in³

5 0

3 years ago

The u.s. senate consists of 100 members, 2 from each state. A committee of five senators is formed. What is probability it conta

shtirl [24]