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Anton [14]
2 years ago
6

Find the value of each variable using sine and cosine. round your answers to the nearest tenth​

Mathematics
1 answer:
ale4655 [162]2 years ago
6 0

Answer:

x=9.5 and y=15.3

Step-by-step explanation:

to find x you do sine of 32 = x/18 because the sine is opposite/hypotenuse

you put in a calculator sine (32) x 18 and get 9.538546756

so x equals 9.538546756 but it says to round to the nearest tenth so x equals 9.5

to find y you do the cosine of 32 = y/18 because cosine is adjacent/hypotenuse

cosine of (32) x 18 = 15.26486573 so you equals 15.26486573 but since you have to round to the nearest tenth y = 15.3

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Alexandra has $15 to buy drinks for her friends at the baseball game. Soda
EleoNora [17]

Answer:

C

Step-by-step explanation:

write an equation for the costs:

if x is the number of sodas

and y is the number of waters

2.75x + 2y <= 15

(<= is less than or equal to)

if we substitute 3 for y

we get 2.75x + 2(3) <= 15

2.75x + 6 <= 15

2.75x <= 9

9 / 2.75 = 3.2727

however, you cannot buy part of a soda

so, round to 3

you also cannot buy negative sodas

so, the answer is C

6 0
3 years ago
What is the area of a rectangle with length 112 foot and width 34 foot?
Nastasia [14]

Answer:

<u>3808ft²</u>

Step-by-step explanation:

Formula: A=L×W

<u>A=</u> area

<u>L=</u>  length

<u>W=</u> width

A= 112 × 34= <u>3808ft²</u>

8 0
2 years ago
Find the x-intercept for 11x - 33y = 99
seropon [69]
It is 9. You have to add 33y, then divide by 11 and you get x = 3y + 9
7 0
3 years ago
Identify the terminal point for a 45° angle in a unit circle.O A. (24)O B. (1.)Oc. (1,1)O D. (2,3)
Liula [17]

(x, y) = ( cos 45, sin 45) =

=\text{ (}\frac{\sqrt[]{2}}{2}\text{ , }\frac{\sqrt[]{2}}{2}\text{ )}

The correct option is A

4 0
1 year ago
Mary and Mike went to the store to buy colored pencils for their science class.mike bought a 12-pack for 1.69,and Mary bought a
sweet-ann [11.9K]

12-pack for 1.69 is a better buy

<em><u>Solution:</u></em>

Given that, Mike bought a 12-pack for 1.69 and Mary bought a 24-pack for 3.18

We have to find which is the better buy

First we have to find the unit rate

Unit rate is cost of 1 pack

<em><u>Mike bought a 12-pack for 1.69</u></em>

Therefore,

Cost of 12 pack = 1.69

Cost of 1 pack is found by dividing 1.69 by 12

cost\ of\ 1\ pack = \frac{1.69}{12} = 0.14083

Thus unit rate of Mike is 0.14083 dollar per pack

<em><u>Mary bought a 24-pack for 3.18</u></em>

Cost of 24 pack = 3.18

Cost of 1 pack is found by dividing 3.18 by 24

cost\ of\ 1\ pack = \frac{3.18}{24} = 0.1325

Thus unit rate of Mary is 0.1325 dollars

<em><u>On comparing both the unit rate</u></em>

0.14083>0.1325

Thus unit rate of Mike is larger

Thus, 12-pack for 1.69 is a better buy

3 0
3 years ago
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