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Rina8888 [55]
3 years ago
6

Cos theta=10/26, theta lies in quadrant IV

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0
Cos(theta)=10/26=5/13
acos(5/13)=1.176 radians = 67.4 degrees
Since it is in the fourth quadrant, the angle is -67.4 degrees
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Please help me ASAP !!!! Will give brainliest!!!!!!<br><br>Please Answer the image below.
JulijaS [17]

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I think it’s the first and fourth

Step-by-step explanation:

Hope this helps!!!!

3 0
4 years ago
Two number cubes are rolled sequentially. What is the probability that the first number cube shows a five and the other number c
nexus9112 [7]

The probability of first number cube shows a five and the other number cube shows an even number is \frac{1}{12}.

Solution:

Two cubes are rolled sequentially.

Sample space when two dies are rolled

                   =\left\{\begin{array}{l}{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)} \\{(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)} \\{(3,1), 3(, 2),(3,3),(3,4),(3,5),(3,6)} \\{(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)} \\{(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)} \\{(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}\end{array}\right\}

Number of sample space = 36

Even numbers getting when two cubes rolled are 2, 4, 6.

First number cube shows a five and the other number cube shows an even number = {(5, 2), (5, 4), (5 6)}

Number of first number cube shows a five and the other number cube shows an even number = 3

Probability of first number cube shows a five and the other number cube shows an even number

                 $=\frac{\text{Number of outcomes}}{\text{Total number of sample space}} $

                $=\frac{3}{36}

                $=\frac{1}{12}

Hence, the probability of first number cube shows a five and the other number cube shows an even number is \frac{1}{12}.

8 0
3 years ago
Lemons cost $3.25 per pound.Write an inequality to show how many pounds of lemons you can buy with $14.What is the most you can
irina1246 [14]
$3.25x\leq$14

14/3.25 = 4.31
The most you can buy is: 4 pounds
4 0
3 years ago
What is the area of the parallelogram?
Sonbull [250]

Answer:

im not 100 percent sure but i think its

140 inches squared

Step-by-step explanation:

5 0
3 years ago
Determine the number of moles of air present in 1. 35 L at 750 torr and 17. 0°C. Ideal Gas Law formula: PV = nRT(R = 62. 396 L•t
Natalija [7]

The number of mole of air present is 0.056 mole

<h3>Data obtained from the question </h3>
  • Volume = 1.35 L
  • Pressure (P) = 750 torr
  • Temperature (T) = 17 °C = 17 + 273 = 290 K
  • Gas constant (R) = 62.396 L•torr/mol•K
  • Number of mole (n) = ?

<h3>How to determine the number of mole </h3>

The number of mole present can be obtained by using the ideal gas equation as illustrated below:

PV = nRT

Divide both side by RT

n = PV / RT

n = (750 × 1.35) / (62.396 × 290)

n = 0.056 mole

Learn more about ideal gas equation:

brainly.com/question/4147359

8 0
2 years ago
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