The area of parallelogram WXYZ is approximately 45 square units.

Parallelogram W X Y Z is shown. Sides W Z and X Y are congruent. The lengths of sides W X and Z Y are 10 units. Angle W Z Y is 115 degrees.

Trigonometric area formula: Area = One-half a b sine (C)

What is the approximate perimeter of the parallelogram?

5 units
15 units
30 units
40 units

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

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Answer:

A & C

B & E

D & F

Step-by-step explanation:

Leave a like if this helped

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:

B

Step-by-step explanation:

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:

4

Step-by-step explanation:

12+8 = 20

20/5 = 4

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:

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:

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:

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: 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:

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:

56 dollars

Step-by-step explanation:

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

9514 1404 393

Answer:

  $4.00

Step-by-step explanation:

We assume the price is proportional to the quantity of oranges. If p is the desired price in dollars, we want ...

  p/8 = 0.25/(1/2)

  p = 8(0.50) = 4.00 . . . . multiply by 8, simplify

8 kg of oranges would cost $4.00.

Answer:

x = 58°

Step-by-step explanation:

Length of tangents drawn to a circle from a point outside the circle, are equal in measure.

By using this property,

Two tangents PQ and PR will be equal.

And angles opposite to these sides will be equal.

Therefore, ∠PQR ≅ ∠PRQ

By triangle sum theorem,

m∠PQR + m∠PRQ + m∠QPR = 180°

x° + x° + 64° = 180°

2x = 180 - 64

2x = 116

x = 58°

The angle is 90 because that' s a right angle.

Answer:

50

Step-by-step explanation:

that is a right angle so 90 degrees

so you could do

90-40=50

hope this helps:)

Answer:

-12

Step-by-step explanation:

J = 2-14

J = -12

Answer:

-12is the answer

Step-by-step explanation:

j=2-14

j= -12

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:

correct point b would be the right answer

Answer:

Point B is Ur answer.

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:

Required formula:

The equation is:

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: c. . A matched-pairs t-test for a mean difference

Step-by-step explanation:

Based on the information given in the question and assuming all conditions for inference are met, the appropriate test for the investigation will be a matched-pairs t-test for a mean difference.

Since a matched-pairs t-test can be used to determine if a significant mean difference exist between two paired data, then this will be appropriate in this case since the safety officers at both schools want to know if there's an average difference in the number of cars parked per day in the student parking lots for the school year.

The appropriate test for the investigation of the given case is done by: Option C:  A matched-pairs t-test for a mean difference

When there has to be done comparison between means of two sets of paired data, then we use matched pair t test.

For the given case the investigation is to know whether there is an average difference in the number of cars parked per day in the student parking lots for the school year for both the schools in consideration.

So there are two data sets and comparison of their mean is to be done.

Thus, the appropriate test for the investigation of the given case is done by: Option C:  A matched pairs t-test for a mean difference.

Learn more about matched pair t-test here:

https://brainly.com/question/14690592

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

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Answer:

part b is 32

Step-by-step explanation: