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olasank [31]
3 years ago
7

Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 3. (Input decimals only, such as 12.71, as the answer.)

Mathematics
1 answer:
Natasha2012 [34]3 years ago
5 0

Answer:

87.92

Step-by-step explanation:

3.14(a² + ab)  where  a = 4  and  b = 3

Plug the given numbers into the appropriate values.  Remember to follow PEMDAS.

3.14((4)² + (4)(3))

3.14(16 + 12)

3.14(28)

87.92

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GREYUIT [131]

Question 7: Option 1:  x = 33.5°

Question 8: Option 3: x = 14.0°

Step-by-step explanation:

<u>Question 7:</u>

In the given figure, the value of perpendicular and hypotenuse is given, so we have to use any trigonometric ratio to find the value of angle as the given triangle is a right-angled triangle

So,

Perpendicular = P = 32

Hypotenuse = H = 58

So,

sin\ x = \frac{P}{H}\\sin\ x = \frac{32}{58}\\sin\ x = 0.5517\\x = sin^{-1} ( 0.5517)\\x =33.48

Rounding off to nearest tenth

x = 33.5°

<u>Question 8:</u>

In the given figure, the value of Base and Perpendicular is given, we will use tangent trigonometric ratio to find the value of x

So,

Perpendicular = P = 5

Base = B = 20

So,

tan\ x = \frac{P}{B}\\tan\ x = \frac{5}{20}\\tan\ x = 0.25\\x = tan^{-1} (0.25)\\x = 14.036

Rounding off to nearest tenth

x = 14.0°

Keywords: Right-angled triangle, trigonometric ratios

Learn more about trigonometric ratios at:

  • brainly.com/question/909731
  • brainly.com/question/902892

#LearnwithBrainly

8 0
3 years ago
Explain how to model the problem with algebra tiles and then write an algebraic expression that represents the situation.
jeka57 [31]

Step-by-step explanation:

the answer is in the picture

8 0
3 years ago
Read 2 more answers
Sandy mixed together 9 gallons of one brand of juice and 8 gallons of a second brand of juice, which contains 48 percent real fr
Gekata [30.6K]

Answer:

14 %   pure juice comes from  first brand

Step-by-step explanation:

Mixture:

17 gal 30% contains:  17x 30% = 5.10 gal pure juice

 Second brand:

8 gal 48% contains:  8x40% =  3.84   gal pure juice

5.10 − 3.84 = 1.26   gal

1.26   gal is  coming  from 9 gal of first  brand

The percentage of first brand  is:

(1.26/9) x100  =  14 %   pure juice.

8 0
2 years ago
Need help on this test question ​
Lilit [14]

Answer:

D

Step-by-step explanation:

sine= opposite/hypotenuse

cosine= adjacent/hypotenuse

6 0
2 years ago
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Mary invests £12000 in a savings account. The account pays 1. 5% compound interest per year. Work out the value of her investmen
mestny [16]

Answer:

The value of Mary's investment after two years = £12362.7

Step-by-step explanation:P = Principal / initial amountR = rate of interest per cent per yearT = number of yearsA = final amount at the end of T yearsThen:A = P*(1 + R/100)^2In our example:P = £12000R = 1.5 per cent per yearT = 2 yearsThus:A = 12000*(1 + 1.5/100)^2   = 12000*(1 + 0.015)^2   = 12000*(1.015)^2    = 12000*(1.030225)    = 12362.7Value of investment after two years = £12362.7

4 0
2 years ago
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