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gizmo_the_mogwai [7]
3 years ago
7

What is the measure of [theta]?

Mathematics
1 answer:
Brums [2.3K]3 years ago
4 0
The answer is D
=  \frac{12}{4}
= 3 \: radians
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2x+y=3<br>x-y= 1<br><br>solve the equation ​
svetlana [45]

Answer:

x = 4/3

y = 1/3

Step-by-step explanation:

System of equations! This is set up really well to make the second equation equal x then substitute.

x - y = 1

x = 1 + y

and then our substitution:

2 (1+y) + y = 3

and solve:

2 + 2y + y = 3

3y + 2 = 3

3y = 1

y = 1/3

And now we can substitute that value into one of our equations:

x - (1/3) = 1

x = 4/3

Next we should check by substituting these values into both of our equations:

2 (4/3) + (1/3) = 3

9 / 3 does equal 3 !

(4/3) - (1/3) does equal 1 !

Therefore, x = 4/3 , and y = 1/3

4 0
3 years ago
Read 2 more answers
Ali will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of 70 and costs an additi
Aleksandr-060686 [28]

Answer: Ali would need to drive 350 miles for the two plans to cost the same.

Step-by-step explanation:

This question can be solved by creating two equations using the information supplied in the question and then solving these simultaneously.

Let the cost be C.

Let the number of miles be M.

Let the initial payment be i.

Let the rate per mile driven be R.

Plan 1:

C = i+R×M

C = 70+0.60M ... equation 1

Plan 2:

C = i+R×M

C = 0+0.80M

C = 0.80M ...equation 2

Substituting equation 2 into equation 1:

0.80M = 70+0.60M

0.80-0.60M = 70

0.20M = 70

M = 70/0.20

M = 350 miles

5 0
3 years ago
Sarah's hair appointment is 30 miles away. How fast must she travel to get there in 60 minutes?
Fudgin [204]

Answer:

30 miles an hour

Step-by-step explanation:

6 0
3 years ago
Which of the following statements is true according to the measurements in the diagram?
e-lub [12.9K]

Let's look at the corresponding ratios:

\frac{AB}{ED}=\frac{24}{30}=\frac{4}{5}\\\frac{BC}{DC}=\frac{16}{20}=\frac{4}{5}\\\frac{AC}{EC}=\frac{21}{28}=\frac{3}{4}\\

And we see that the three aren't equal.

Hence, $\Delta ABC$ and $\Delta EDC$ are not similar.

8 0
3 years ago
Read 2 more answers
Ursula and Andre competed against each other in a swimming race. Ursula swam at a rate of 60 meters per minute and Andre swam at
Lubov Fominskaja [6]
Given that the two swimmers competed and Ursula's speed is 60 m/min while Andre's speed is 48 m/min. The distance that the Ursula will catch up with Andre will be:
distance=(relative speed)×(time)
relative speed=60-48=12 m/min
the two swimmers met at a distance of:
12×1
=12 meters

6 0
3 years ago
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