Consider the reduction of the complex figure with a scale factor of . What is the area of the reduced figure?

(Sorry for the terrible quality photos)

Answer:

The conjugate of 2i + 9 = -2i + 9

Product of (2i+9) and (2i+9)  is 36i + 77

Step-by-step explanation:

Given - 2i + 9

To find - Find the conjugate and product of the following surds

Proof -

We know that,

The sum and difference of two simple quadratic surds are said to be conjugate surds to each other.

To find a complex conjugate, simply change the sign of the imaginary part (the part with the i ).

So,

The conjugate of 2i + 9 = -2i + 9

Now,

Product of surd (2i+9) is

(2i+9)(2i+9) = 2i(2i) + 2i(9) + 9(2i) + 9(9)

                  = 4i² + 18i + 18i + 81

                  = -4 + 36i + 81          { because i² = -1 }

                  = 77 + 36i

⇒Product of (2i+9) and (2i+9)  is 36i + 77

Answer:

Required formula:

The equation is:

Answer:

Answer is b) 20.

Step-by-step explanation:

Mean is 0.43 kg.

0.43+0.1+0.1= 0.45

0.45 is two standard deviation above.

All that are below mean is 50%,

Two standard deviation above is 95%/2=47.5%

50%+47.5% =97.7% are  balls that are less than 0.45 kg.

100%-97.7%=2.5% balls that are more than 0.45 kg

2.3%=0.025

800*0.025 = 20 soccer balls weigh more than 0.45 kg

Answer:

One solution, x=1

Step-by-step explanation:

isolate the variable

Answer:

one solution x=1

Step-by-step explanation:

2(3+2x)=10

6+4x=10

4x=4

x=1

<3

Answer:

Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°.

Answer:

56 dollars

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

16square ft

Step-by-step explanation:

2x2+2x3x1/2x4=16 square ft

Area of base: 2x2

Area of one side of the triangular prism: 1/2xbasexheight=1/2 x2x3

Answer:

correct point b would be the right answer

Answer:

Point B is Ur answer.

This question is incomplete, the complete question is;

Question 1: The National Assessment of Educational Progress (NAEP) is administered annually to 4th, 8th, and 12th graders in the United States. On the math assessment, a score above 275 is considered an indication that a student has the skills to balance a checkbook. In a random sample of 500 young men between the ages of 18 and 20, the mean NAEP math score is 272 with standard deviation of 78.

Do we have evidence to support the claim that young men nationwide have a mean score below 275. The level of significance is 5%

Answer:

p-value ( 0.2 ) > significance level (0.05 )

Fail to reject H₀ at ∝ = 0.05

Therefore, We do not have enough evidence to conclude that the mean score is less than 275 for young men nationwide.

Step-by-step explanation:  

 Given the data in the question;

Null hypothesis             H₀ : μ = 275  

Alternative hypothesis Hₐ : μ < 275

mean x' = 272

standard deviation σ = 78

sample size n = 500

Test Statistics

z = (x'-μ) / (σ /√n )

we substitute

z = (272-275) / (78 /√500 )

z =  -3 / 3.488266

z = - 0.86

from table;

p-value = 0.19489 ≈ 0.2

Hence; p-value ( 0.2 ) > significance level (0.05 )

Fail to reject H₀ at ∝ = 0.05

Therefore, We do not have enough evidence to conclude that the mean score is less than 275 for young men nationwide.

Answer: 8 inches squared

Step-by-step explanation:

volume formula for cube: side length^3 (in this case it would be 2^3)

2^3 = 2 x 2 x 2 = 8

Answer:

A

Step-by-step explanation:

sin: [tex]\frac{opposite}{hypotenuse}[/tex]

sin: [tex]\frac{CB}{AC}[/tex] = [tex]\frac{5}{11}[/tex]

For triangle ABC, sin(A) = 5/11

"If the angle measure less than 90° then it is an acute angle."

For a right triangle,

sin(theta) = opposite side/hypotenuse

where theta is an acute angle.

For given example,

we have been given a right triangle ΔABC

Since ∠B = 90°, ∠A and ∠C must be an acute angles.

⇒ sin(A) = BC/AC

⇒ sin(A) = 5/11

and sin (C) = AB/AC

⇒ sin(C) = (4√6)/11

Therefore, sin(A) = 5/11

Learn more about sine of angle here:

https://brainly.com/question/15141309

#SPJ2

Step-by-step explanation:

I got 56.25 my bad if it's wrong tho

Answer:

5200 pound and 68.139/ 69 penny

If the answer proved helpful to you, Please give it a BRAINLIEST.

Thank you EVERYONE, for EVERYTHING!!

Answer:

it is above

Step-by-step explanation:

ok?

Answer:

96 cm³

Step-by-step explanation:

v = 4 x 3 x 8 = 96 cm³

Answer:

The volume of the prism is 96cm^3

Step-by-step explanation:

You multpily 4*3*8=96

Answer:

A & C

B & E

D & F

Step-by-step explanation:

Leave a like if this helped

Answer:

(1,5)

Step-by-step explanation

Subtract one equation to get rid of 5x. You will get -2y-6y=-5-35. y=5. Plug in y and find x. The answer is x=1, y=5.

Answer:

y=28/5

Step-by-step explanation:

Okay so for this we can use cross- multiplication. Basically, the product of the numerator of the first number and the denominator of the second is equal to the product of the denominator of the first and the numerator of the second.

What I mean is: 4*7=5*y

so,

28=5y

y=28/5

Answer:

4

Step-by-step explanation:

12+8 = 20

20/5 = 4

Answer:

7

Step-by-step explanation:

area of parallelogram = l* h

91 = 13 * h

91/13 = h = 7 cm

Answer:

I believe it is 7

Step-by-step explanation:

area is length times width, so if you do opposite equations, and divide 91 by 13, that will be your answer. 7.

Answer:

Barbers= 5.41= 6 barbers

Step-by-step explanation:

Giving the following formula:

Haircuts per hour= 12

Number of hours= 10

Haircuts needed= 650

First, we need to calculate the number of haircuts each barber can make per day:

Haircuts per barber a day= 12*10= 120 haircuts

Now, the number of barbers needed:

Barbers= total haircuts / haircuts per day

Barbers= 650/120

Barbers= 5.41= 6 barbers

Answer:

306 inches

Step-by-step explanation:

80% = 0.8

170 inches × 80% = 170 × 0.8 = 136

The truck is 80% longer than the boat. 80% of the boat is 136.

So, the boat is 170 inches + 136 inches = 306 inches.

Answer:

C) 136 inches.

Step-by-step explanation:

To find this just do the equation:

170 x 0.8 = ?

This equation tells use how much 80% of 170 is. Also, before doing an equation like this, change the percentage into a decimal like 80% to 0.8.

So,

170 x 0.8 = 136

170 + 136 = 306

So the boat is 306 inches.

Answer:

3 to the fourth power would basically mean 3 x 3 x 3 x 3

Step-by-step explanation:

Alot of people get this confused with 3 x 4 but when multuply to the power of four its 3 x 3 x 3 x 3 which is 81

Brainliest?

Answer: Goran = 18, Donna = 12, Austin = 54

Step-by-step explanation:

x + x - 6 + 3x = 84

5x - 6 = 84

5x = 90

x = 18

Hope this helps!

Answer:

Rent = $230 maximizes revenue

Step-by-step explanation: I just know ;)

Answer:

part b is 32

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

J = 2-14

J = -12

Answer:

-12is the answer

Step-by-step explanation:

j=2-14

j= -12