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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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Work out 2/3 + 3/4? <br> Work out 5 times 3/4? <br> PLEASE HELP ASAP!!!
zlopas [31]
2/3 + 3/4
For this, you want to cross multiply
To do this, you do the first numerator (2) multiplied by the second denominator (4), and the first denominator (3) multiplied by the second numerator (3).If you draw lines between the two numbers you are multiplying, a 'cross' is made. Add these two numbers together to make the new numerator. For the denominator, multiply the bottom two numbers.
Next simplify the new fraction (Follow attached  image)

5 x 3/4
This can be written as 5 x 3 / 4
5 x 3 = 15
15/4 = 3 3/4 or 3.75

6 0
3 years ago
Read 2 more answers
I need the correct answer
Nikolay [14]

Answer:

1) 27/2 2) 8pi 3) 48 4) 16+2pi

Step-by-step explanation:

1) The length of the triangle is 9 (found by finding the distance between (-5,-3) and (4,-3)) and the height is 3 (found by finding the distance between (1,0) and (1,-3)). The area of a triangle is 1/2 (length times height) which in this case is 27/2.

2) The shape is a semicircle, so the area is 1/2 pi*r^2.

1/2 * pi * r^2=8pi

3) B*H=8*6=48

4) The figure is a semicircle and a square.

The area of the semicircle is 1/2 * pi * r^2=2pi

The area of the square is b*h=4*4=16

The area is 16+2pi.

5 0
2 years ago
The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What
Nutka1998 [239]

Answer:

The probability that an 18-year-old man selected at random is greater than 65 inches tall is 0.8413.

Step-by-step explanation:

We are given that the heights of 18-year-old men are approximately normally distributed with mean 68 inches and a standard deviation of 3 inches.

Let X = <u><em>heights of 18-year-old men.</em></u>

So, X ~ Normal(\mu=68,\sigma^{2} =3^{2})

The z-score probability distribution for the normal distribution is given by;

                              Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean height = 68 inches

           \sigma = standard deviation = 3 inches

Now, the probability that an 18-year-old man selected at random is greater than 65 inches tall is given by = P(X > 65 inches)

       P(X > 65 inches) = P( \frac{X-\mu}{\sigma} > \frac{65-68}{3} ) = P(Z > -1) = P(Z < 1)

                                                                = <u>0.8413</u>

The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.8413.

6 0
3 years ago
solve for b 1/4(b-8)=2. I hope you have time to answer this. Thank you so much for your time you guys make me so happy
Mademuasel [1]

Answer:

16

Step-by-step explanation:

1/4(b-8)=2

b-8=2/(1/4)

b-8=2(4/1)

b-8=8

b=8+8

b=16

8 0
3 years ago
Read 2 more answers
Plane tickets to Chicago usually cost $120. On a travel deal website, you scored a coupon for 35% off. Your budget for the trip
enot [183]

Answer: yes it’s 78$

Step-by-step explanation: The difference is 42.00

4 0
2 years ago
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