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Given isosceles trapezoid PQRS.
what are the measures of angles P. Q, S?

Heya, how are you doing today ^-^

Answer:

- Colin's third number was 2

- April's sixth number was the same as Colin's first number.

- April's second number was 8.

Step-by-step explanation:

Colin:

First number = 0

Second number = 1

Third number = 2

Fourth number = 3

Fifth number = 4

Sixth number = 5

April:

First number = 10

Second number = 8

Third number = 6

Fourth number = 4

Fifth number = 2

Sixth number = 0

I hope this helps :)

Answer:

Step-by-step explanation:

horizontal distance = 62/tan(51°) ≅ 50.2 m

The distance between the building base to a standing point is 50.20 m if the angle of elevation from the ground to the top of the building is 51 degrees.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

Trigonometry is a branch of mathematics that deals with the relationship between the sides and angles of a right-angle triangle.

It is given that:

You look up at a 62 m tall building and find that the angle of elevation from the ground to the top of the building is 51 degrees.

The angle = 51 degrees.

The height of the building = 62 m

Applying the tan ratio

tan51 = height of the building/distance between the building base to a standing point

tan51 = 62/x

x = 50.20 m

Thus, the distance between the building base to a standing point is 50.20 m if the angle of elevation from the ground to the top of the building is 51 degrees.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ6

Answer:

x = 3

y = 10

Step-by-step explanation:

In triangle KLN, measure of all angles are equal.

Therefore, it is an equilateral triangle.

All sides of an equilateral triangle are equal.

So,

y - 4 = 6

y = 6 + 4

y = 10

In triangle LMN, measures of angles M and N are equal, Therefore,

LM = LN

x + 3 = y - 4

x + 3 = 10 - 4

x + 3 = 6

x = 6 - 3

x = 3

Answer:

a) 26.79%, b) 50.42% and c) 22.79%

Step-by-step explanation:

a. What is the probability that both Dave and Mike will show up?

As decisions of showing up can be assumed to be independent, the probability will be given by

(1-0.53)(1-0.43)=(0.47)(0.57)=0.2679=26.79%

b. What is the probability that at least one of them will show up?

There are two possibilities for this to happen:

Dave shows up but Mike does not. The probability of Dave to show up is (1-0.53)=0.47 and the probability that Mike does not is 0.43. Then, as these events are independent, the probability for both of them to happen is (0.47)(0.43)=0.2021=20.21%

Mike shows up but Dave does not. The probability of Mike to show up is (1-0.43)=0.57 and the probability that Mike does not is 0.53. Then, as these events are independent, the probability for both of them to happen is (0.57)(0.53)=0.3021=30.21%

Therefore, the probability that at least one of them will show up? is 20.21%+30.21%=50.42%.

c. What is the probability that neither Dave nor Mike will show up?

As decisions of showing up can be assumed to be independent, the probability will be given by

(0.53)(0.43)=0.2279=22.79%

Answer:

a= 12, c= 24

The Solution:

a=?, c=?, No. of people attending=36

since c is twice as many as a, a= 2a

a + 2a= 36

3a= 36

(divide both sides by 3)

3a/3=36/3

a= 12

therefore, a= 12

since c is equals to 2a,

2a= 2(12)

2a= 24

therefore, c= 24

Answer:

She can put fill 2 “2/5 pound bags” and will have 1/5 pounds of raisins remaining.

Step-by-step explanation:

First we change the 2/5 into common denominators by multiplying by 2 and we go from 2/5–>4/10. Now that we have this we can see how many times 4 goes into 9 which is 2 so we know that she can fill 2 “2/5 pound bags.” But 4/10x2=8/10 and since we have 9/10 pounds of raisins we subtract 8/10 from 9/10 to get a difference of 1/10. So we have 1/10 pounds of raisins remaining and she can fill 2 full bags of “2/5 pound bags.”

Answer:

its 11

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

She should use the formula [tex]C = \pi d[/tex] to find a diameter of 16 inches.

Step-by-step explanation:

The circunference of a circle is given by:

[tex]C = 2\pi r[/tex]

In which r is the radius, which is half the diameter. So, it can also be given by the following formula:

[tex]C = 2\pi \frac{d}{2} = \pi d[/tex]

In which d is the diameter.

Which formula should Maria use to help her find the diameter of the rug?

She should use this formula:

[tex]C = \pi d[/tex]

Since the circunference is 50.24 inches, the diameter will be of:

[tex]d = \frac{C}{\pi} = \frac{50.24}{\pi} = 16[/tex]

Answer:

The total surface area of the shape is 376 square inches.

Bonus: the volume is 240 cubic inches.

Step-by-step explanation:

I'm not going to draw this for you, but to get the area, you just need to add up the area of the 6 rectangles.

First though, you need to know what they are.  This is easier than it may seem though.  You just need to remember that this will be folded into a rectangular box.  You are given three side lengths, which is all that is needed for a box.

That is to say, you're given the width, height and length of this box.  It's 10x8x6 inches.

so if you take every possible pairing of those numbers:

10x8

10x6

8x6

you have the area of all of the shapes.  The only catch is that there are two of each size.  Front and back are the same size, left and right are, and so are top and bottom.

So the total area of the shape is:

(front and back) + (left and right) + (top and bottom)

= (2 × 10 × 8) + (2 × 10 × 6) + (2 × 8 × 6)

= 160 + 120 + 96

= 376

Or rather, 376 square inches.

Bonus: the volume is much easier, being just 10 × 8 × 6, or 240 cubic inches.

Answer:

Use the formula of areal*b*h

Answer:

A=πr2=π·52≈78.53982m²

Step-by-step explanation:

Answer:

78.57 m^2

Step-by-step explanation:

answer is 78.57

Answer:

c

Step-by-step explanation:

you would do

m = money overall

(m*1.08) +3000= you would do that twelve times

Answer:

Note: The full question is attached as picture below

a. Slope of 0.536 means that when there is an increase in carbohydrate content, there will be sn increase in 0.536 grams of sugar content.

b. Coefficient of Determination, R^(2) = 0.544^(2) = 0.295936 = 0.296. Percent of variation = 29.6

c. For carbohydrate content of 29 grams,

Predicted amount of sugar per cup for Raisin Bran = -5.10 + 0.536*29 = 10.444 gram

d. Residual value= Actual value - Predicted value

8.556 = Actual sugar content - 10.444

Actual sugar content = 8.556 +10.444

Actual sugar content = 19

So, the Raisin Bran actually have 19 grams of sugar per cup.

Answer:

f ( 1 )= 20; f ( n )= f (n - 1) + 5, for n > 2

(the > has a line under it)

Step-by-step explanation:

Answer:

f (1) = 20; f (n) = 2 · f (n - 1) - 0.3 · f (n - 1) + 5, for n ≥ 2

Step-by-step explanation:

The other person left some numbers out.

Answer:

2x+5=31 is the most common correct answer

Answer:

10:55

Step-by-step explanation:

15:55 - 5 = 10:55

Answer:

wag na baka imyday mo pa

Step-by-step explanation:

hahahahahahahahahahahahahahahahahaahhaahahahahahhahahahahahahahahahahahahahahahahahahahahahahahahhahahahah ahahahahahahaha ahahahahahahaha ahahahahahahaha hahahahahah ahahahahahahaha

Answer:

I will do that buddy. I'll have fun

Answer: The first one

Step-by-step explanation:

-6c + 11d = 20

-6c + 11d = 20

They're the same equation meaning they'll be on the same line. They would have infinite solutions.

Answer: The first one

Step-by-step explanation:

-6c + 11d = 20

-6c + 11d = 20

Answer:

Step-by-step explanation:

y = (x² - 8x) + 10

Complete the square

 coefficient of the x term: -8

 divide it in half: -4

 square it: (-4)² = 4²

 use 4² to complete the square and keep the equation balanced:

y = (x²-8x + 4²) - 4² + 10

y = (x-4)² - 6

Answer:

y = (x - 4)² - 6

Step-by-step explanation:

use the 'completing the square' method:

x² - 8x + 10 = 0

x² - 8x + 16 = -10 + 16

(x - 4)² = 6

y = (x - 4)² - 6

Answer:

a)46 tablet approx

b)277 ml approx

Answer:

I think it would be all of the above

Step-by-step explanation:

:)))

See

In plane ABC or ABCD and plane BFGC or BFG. the common side is

So both the planes intersect at line BC

Answer:

Kindly check attached picture for sample space.

Step-by-step explanation:

Sample space, S

S = {1HH, 1HT, 1TT, 1TH, 2H, 2T, 3HH, 3HT, 3TT, 3TH, 4H, 4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}

The tree diagram for all 18 elements in the sample space can be found in the picture attached below :

a.)

Event A ; number on die < 3

A = {1HH, 1HT, 1TT, 1TH, 2H, 2T}

b.)

Event B ; 2 tails occur :

B = {1TT, 3TT, 5TT}

QUESTIONS B, C and E are not well formatted

Answer:

x= −1/5y + 2/5

Step-by-step explanation:

Let's solve for x.

y=−5x+2

Step 1: Flip the equation.

−5x+2=y

Step 2: Add -2 to both sides.

−5x+2+−2=y+−2

−5x=y−2

Step 3: Divide both sides by -5.

Answer:

x= -1/5y + 2/5

not 100% sure if ur trying to solve for x or just graph that equation but hopefully this helped lol :)