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never [62]
3 years ago
13

Given sin (-∅) = -1/4 and tan∅ = √15/15. What is the value of cos∅?

Mathematics
1 answer:
Ket [755]3 years ago
4 0
Cos (theta) would be equal to 15/-1!

The reason is because the inverse of sin is equal to the hypotenuse over the opposite angle, meaning the hypotenuse would be -1. Tan is equal to the opposite over the adjacent angle, meaning the adjacent angle equals 15. Cos is equal to the adjacent over the hypotenuse, making cos (theta)= 15/-1!
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What is the value of this expression<br> 8 + 6x (10 - 4) +2
Vinvika [58]

Answer:

8+6x(10-4)+2\\= 10 - 4\\= 6 + 2\\= 8 * (8 + 6x)\\ = 8 + 6x\\= 14x * 6\\= 84x\\

Step-by-step explanation:

hope this helps.

4 0
2 years ago
Read 2 more answers
Given the formula, Sn=a 1-r^n/1-r, what is the sum of the first nine terms of the geometric series: 324, -108, 36, -12...
vlada-n [284]

Answer:

243.01.

Step-by-step explanation:

The first term (a) = 324.

The common ratio (r) = -108/324 = -1/3.

So sum of 9 terms is:

S(9) = 324 * (1 - (-1/3)^9) / ( 1 - (-1/3)

= 324 ( 1 - (-0.00005076)) / 4/3

= 324 * 1.00005076 / 1.33333

= 243.012.

3 0
3 years ago
7) Ted has $6.80 in quarters and dimes. The
notsponge [240]

Answer:

g

Step-by-step explanation:

7 0
3 years ago
Suzanne bought 50 apples at the orchard. She bought 4 times as many red apples as green apples. How many more red apples than gr
Kipish [7]

Step-by-step explanation:

Let x be the number of Green apples bought.

Then 4x is the number of Red apples bought.

We have x + 4x = 50, so x = 10.

Since there are 10 green and 40 red apples, 40 - 10 = 30 more red apples than green apples.

5 0
3 years ago
From points A and B, the distance between which is 1020 mi, two trains left simultaneously towards each other. The speed of one
telo118 [61]

From points A and B, the distance between which is 1020 mi

The speed of one train was 10 mph greater than the speed of the other one

Let the Speed of first train is x

Speed of second train is x+ 10

Time = 5 hours

Distance = speed * time

Distance traveled by first train = x * 5= 5x

Distance traveled by second  train = (x+10) * 5= 5x + 50

the trains had not met yet and were 170 mi apart.

the distance between A  and B is 1020 mi, Distance traveled by two trains = 1020 - 170 = 850 miles

Distance traveled by first train + second train = 850

5x + 5x + 50 = 850

10x + 50 = 850

Subtract both sides by 50

10x = 800

x= 80

Speed of first train is 80 miles per hour

Speed of second train is 90 miles per hour


3 0
3 years ago
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