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iris [78.8K]
2 years ago
12

Round to the nearest hundredths

Mathematics
1 answer:
Gennadij [26K]2 years ago
7 0

Answer:

AC = 2.96

Step-by-step explanation:

Use the trigonometric ratio cosine:

cosine = adjacent ÷ hypotenuse

cos(65°) = AC ÷ 7

cos(65) = \frac{AC}{7}

Multiply both sides by 7:

7(cos(65)) = AC

(Note: Set your calculator to degrees!)

And plug 7(cos(65)) into your calculator to get:

AC ≈ 2.96

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Felicity set the thermostat of her refrigerator to 37°F. The refrigerator temperature t in degrees Fahrenheit h hours after the
kirill115 [55]

Answer:

Period=6

Step-by-step explanation:

Given:

t=1cos(1.05h)+37

Using acos(bx-c)+d to find the period of the given function

amplitude= a

period= 2π/Bb

phase shift=c (positive is to the left)

vertical shift=d

comparing with t=1cos(1.05h)+37, we get

a=1

b=1.05

c=0

d=37

period= 2π/b

          =2π/1.05

          =5.983

          =6

Period of function is 6, after every 6 hours the refrigerator sensor will reach its maximum temperature and the cycle will move towards reducing temperature i.e it'll reach the minimum temperature then again the cycle will move upwards raising the temperature to maximum and so one period will be completed!

5 0
3 years ago
Read 2 more answers
A concrete pillar has the shape of a cylinder. It has a diameter of 8 meters and a height of 9 meters. If concrete costs $87 per
Komok [63]

Answer:

Cost, C = $28410.72

Step-by-step explanation:

We have, a concrete pillar has the shape of a cylinder.

Diameter of pillar is 8 m and ts height is 9 m

If concrete costs $87 per cubic meter, it is required to find the concrete cost for the pillar. For this lets find the area of cylindrical shape. So,

A=2\pi rh+2\pi r^2\\\\A=2\times 3.14\times 4\times 9+2\times 3.14\times 4^2\\\\A=326.56\ m^2

The cost of pillar at the rate of $87 per cubic meter will be :

C=326.56\times 87\\\\C=\$28410.72

8 0
3 years ago
1.2/4.4 = 3/a what is a
bazaltina [42]
Simply cross multiply and simplify to get a = 11

Hope this helped!! xx
7 0
3 years ago
Read 2 more answers
Need help with homework
zubka84 [21]

Answer:

5. the other angle has to be 2x because of the other lines being equals so

2x+2x+x-15=180

5x-15=180

5x=195

x=19

6. the other two angle is ajacent to the other two so

3x+17+3x+17+x-9+x-9=360

8x+16=360

8x=344

x=43

7. this ones pretty simple

2x-4+3x+5+2x+11=180

7x+12=180

7x=168

x=24

8. this one to

x+x+4+3x-9=90

5x+5=90

5x=85

x=17

Hope This Helps!!!

5 0
2 years ago
Expand and simplify (√10-√2)² Give your answer in the formn b-c√5 where b and c are integers
vesna_86 [32]

Answer:

12-4√5

Step-by-step explanation:

(√10-√2)²

(√10-√2)(√10-√2)

Foil/distribute

10-√20-√20+2

12-2√20

12-2√4*√5

12-2*2√5

12-4√5

5 0
2 years ago
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