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2 years ago

Challenge A large university accepts 60% of the students who apply. Of the students the university

Mathematics

1 answer:

Irina-Kira [14]2 years ago

7 0

Answer:

man i cant really say

Step-by-step explanation:

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Combine terms: 12a + 26b -4b – 16a.

Kryger [21]

Answer:

c. -4a + 22b

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Please help me out :P

Veseljchak [2.6K]

cos θ = $\frac{-4\sqrt{65} }{65}$ , sin θ = $\frac{-7\sqrt{65} }{65}$ , cot θ = 4/7, sec θ = $\frac{-\sqrt{65} }{4}$ , cosec θ = $\frac{-\sqrt{65} }{7}$

<h3>What are trigonometric ratios?</h3>

Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin θ: Opposite Side to θ/Hypotenuse

Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos

Cos θ: Adjacent Side to θ/Hypotenuse

Sec θ: Hypotenuse/Adjacent Side & 1/cos θ

Analysis:

tan θ = opposite/adjacent = 7/4

opposite = 7, adjacent = 4.

we now look for the hypotenuse of the right angled triangle

hypotenuse = $\sqrt{7^{2} + 4^{2} }$ = $\sqrt{49+16}$ = $\sqrt{65}$

sin θ = opposite/ hyp = $\frac{7}{\sqrt{65} }$

Rationalize, $\frac{7}{\sqrt{65} }$ x $\frac{\sqrt{65} }{\sqrt{65} }$ = $\frac{7\sqrt{65} }{65}$

But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.

Therefore, sin θ = - $\frac{7\sqrt{65} }{65}$

cos θ = adj/hyp = $\frac{4}{\sqrt{65} }$

By rationalizing and knowing that cos θ is negative, cos θ = - $\frac{-4\sqrt{65} }{65}$

cot θ = 1/tan θ = 1/7/4 = 4/7

sec θ = 1/cos θ = 1/ $\frac{4}{\sqrt{65} }$ = - $\frac{-\sqrt{65} }{4}$

cosec θ = 1/sin θ = 1/ $\frac{\sqrt{65} }{7}$ = $\frac{-\sqrt{65} }{7}$

Learn more about trigonometric ratios: brainly.com/question/24349828

#SPJ1

5 0

1 year ago

Find each equation and then graph the line. x 2y=8

daser333 [38]

Y=8/2
y=4!!!!!!!!!!!!!!!!!

7 0

3 years ago

Whats the awnser to the image that is selected?????

VikaD [51]

Answer:

30 units

Step-by-step explanation:

In order to find the length of the 3rd side of the triangle, the hypotenuse, you can use the Pythagorean Theorem. Using this method, you get 5^2+12^2=169. The square root of 169 is 13.

5 + 12 + 13 = 30 units.

7 0

2 years ago

An electric company has to track on-time payments and late payments for each customer monthly. It is impossible for a customer t

OLga [1]

Answer:

The probability that a customer pays late each month is P(B) = 0.27

Step-by-step explanation:

Let P( A ) be the probability that the customer pays on time and the value is 0.55

Let P( B ) be the probability that a customer pays late each month

The probability that a customer pays late or on-time each month is P(A u B) and the value is 0.82

The probability that a customer pays on-time and late each month is P(A n B) and the value is zero ( 0 ) given that it is impossible

Now The probability that a customer pays late or on-time each month is mathematically represented as

P(A u B) = P(A) + P(B) - P(A n B)

=> 0.82 = 0.55 + P( B ) - 0

=> P(B) = 0.27

8 0

3 years ago