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elena55 [62]
3 years ago
13

I REALLY NEED HELP PLEASE

Mathematics
1 answer:
vaieri [72.5K]3 years ago
8 0

Answer:

sin X =  12/13

cos X = 5/13

tan X = 12/5

Step-by-step explanation:

Recall the definitions as follows:

For a right triangle (i.e one angle is 90 deg) with one of the angles X

sin X = opposite side / hypotenuse

cos X = adjacent side / hypotenuse

tan X = opposite side / adjacent side

In our case for angle A, the following applies:

opposite = 36

adjacent = 15

hypotenuse = 39

hence

sin X = opposite side / hypotenuse = 36/39 = 12/13

cos X = adjacent side / hypotenuse = 15/39 = 5/13

tan X = opposite side / adjacent side = 36 /15 = 12/5

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Wesley office had already recycled 37 kilograms this year before starting a new recycling plan, and the new plan will have the o
borishaifa [10]

Answer:

37 kilograms alr recycled this year

Plan:

1 kilogram each week

After 13 weeks he would of recycled 13 kilograms

37+13=50

In total his office wesley's have recycled 50 kilograms of paper

Hope this helps

8 0
3 years ago
Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store.
mafiozo [28]

Answer:

Susie reaches the store first being ahead by 0.06 hours.

Step-by-step explanation:

20 miles going 45 miles/hour.

20 miles / (45 miles / hour) = 20 miles hours / 45 miles =

= 20 hours / 45 = 4/9 hours = 0.44 hours

25 miles going 50 miles/hour.

25 miles / (50 miles / hour) = 25 miles hours / 50 miles =

= 25 hours / 50 = 1/2 hours = 0.5 hours

So Susie needs less time (= arrives first).

the difference is 0.5 - 0.44 = 0.50-0.44 = 0.06 hours

as additional practice :

0.06 hours is 60 × 0.06 minutes.

60 × 0.06 = 60 × 6 / 100 = 360 / 100 = 3.6 minutes.

6 0
3 years ago
If you run for 0.4 hours at 7 mph, how fast should you walk during the next 0.8 hours to have the average speed of 5 mph?
Fantom [35]

Answer:

4 mph

Step-by-step explanation:

The average speed of an object is given by the total distance covered by the time taken:

v=\frac{d}{t}

where

d is the total distance covered

t is the time taken

in the first part, the person runs for 0.4 hours at a speed of 7 mph, so the distance covered in the 1st part is

d_1 = v_1 t_1 = (7)(0.4)=2.8 mi

Then the distance covered in the second part is d_2, so the total distance is

d=2.8+d_2 (1)

The total time elapsed is 0.4 hours (first part) + 0.8 hours (second part), so

t=0.4+0.8=1.2 h

So we can write the average speed as

v=\frac{2.8+d_2}{1.2} (1)

We want the average speed to be 5 mph,

v = 5 mph

Therefore we can rearrange eq.(1) to find d2:

d_2 = 1.2v-2.8 = (1.2)(5)-2.8=3.2 mi

And therefore, the speed in the second part must be

v_2=\frac{d_2}{t_2}=\frac{3.2}{0.8}=4 mph

4 0
3 years ago
Let set C = {even numbers between 1 and 99} and set D = {numbers between 1 and 150 that are evenly divisible by 10}.
Alex
C=\{2;\ 4;\ 6;\ 8;\ ...;\ 98\}\\\\D=\{10;\ 20;\ 30;\ 40;\ 50;\ 60;\ ...;\ 140\}\\\\C\ \cap\ D=\{10;\ 20;\ 30;\ 40;\ 60;\ 70;\ 80;\ 90\}\\\\Answer:\boxed{A}
4 0
3 years ago
Evaluate each expression if x= 6. 8+x
UkoKoshka [18]

Answer:

14

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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