examine the relationships that exist in the diagram below. find the measures of angles a, b, c, and d. remember that you can find the angles in any order, depending on the angle relationships you use.

Answer:

The second option

Step-by-step explanation:

cos35=5/c

5/c=cos35/1

cos35(c)=5

c=5/cos35

Therefore, the second option.

I hope this helped and have a good rest of your day!

Answer:

(4;0)

Step-by-step explanation:

y=0

2x-3×0=8

2x=8

x=4

Answer:

r = 12 inches

Step-by-step explanation:

In this question, we are asked to calculate the length of the radius of the circle.

This is accessible from using the length of an arc.

Mathematically, the length of an arc can be calculated using the formula;

Theta/360 * 2 * pi * r

Where Theta is the angle subtended at the center and r is the radius of he circle.

According to the question, Theta is 3pi/4 radians or let’s just say 0.75pi . This to degrees will be 135 degrees ( pi = 180 degrees)

Thus we have;

9 pi = 135/360 * 2 * pi * r

divide through by pi

9 = 270r/360

360 * 9 = 270r

r = (360 * 9)/270

r = 12 inches

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

2 Buildings : 3 Floors Each : 16 Windows per Floor

Multiply 2 and 3 to get the total amount of floors.

2 times 3 equals 6

Then, multiply 6 and 16 to get the total amount of windows in the Park View Buildings.

6 times 16 equals 96

Therefore, there are 96 windows in total or 48 windows per building

Answer:

A)25

B) 14

Step-by-step explanation:

A) a/5 + 3 = 8

    a/5 = 8 - 3

    a = 5 x 5

    a = 25

B)  3b/7 -1 =5

     3b/7 = 5+1

     3b = 6 x 7

      b = 42/3

      b = 14

Answer:

71 baskets of 3 apples.

Step-by-step explanation:

From each of the 28 baskets of 6 you can get 6/3 = 2 baskets of 3.

From each of the 5 baskets you can get  9/3 = 3 baskets of 3.

Therefore:-

From the 28 baskets you can create 28 * 2 = 56 baskets of 3.

From the  5 baskets of 9 you can get 5 * 3 = 15 baskets of 3.

Total 15 + 56 = 71.

The square root of 18 is 4.2426, rounded down to the closest whole number is 4. Testing the integer values 1 through 4 for division into 18 with a 0 remainder we get these factor pairs: (1 and 18), (2 and 9), (3 and 6). The factors of 18 are 1, 2, 3, 6, 9, 18.

Step-by-step explanation:

Answer:

this is so overdue

Step-by-step explanation:

Step-by-step explanation:

It sounds like you are looking for a rectangle.So to find the area you would multiply 7 by 4 to get 28 square feet for the area.

Answer:

likely or probable

Step-by-step explanation:

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Answer:

A bag contains:

8 blue balls.

7 green balls.

5 red balls.

The probability that the ball is red would be:

P = Red balls/Total balls = 5/(5+7+8) = 5/20 = 1/4 =0.25

Hope this helps!

:)

Answer:

0.25

Step-by-step explanation:

Total balls: 8 + 7 + 5 = 20

Red balls: 5

P(red) = 5/20 = 0.25

Answer: area =45   perimeter=28

Step-by-step explanation:    height is 9, length is 5   5x9 =45

9+9+5+5= 28

Answer:

Step-by-step explanation:

Q8) Diameter = 14 in

r = 14/2 = 7 in

Area of missing chunk = πr²/4

                                    = (3.14 * 7 * 7)/4

                                    =1/4(3.14*7*7)

option 4

Q9) 90 degrees

Q10) Each minute = 6°

      In the figure shown, it is 15 minutes

  = 15* 6 = 90 degrees

Answer:

see below

Step-by-step explanation:

Take the original value times the appreciation and add the original value

Do this for each year

House A

year 1:

 new value = 125260+ 125260* .05

                    =125260 +6263

                     =131523

year 2:

 new value = 131523+131523* .05

                    131523+6576.15

                         138099.15

Nearest dollar  138099

House B

year 1:

 new value = 120160+ 120160* .06

                    =120160 +7209.60

                     =127369.6

year 2:

 new value = 127369.60+127369.6* .05

                    127369.60+7642.18

                         135011.78

Nearest dollar  135012

Answer:

A: $138,099

B: $135,012

Step-by-step explanation:

A: growth rate: (100+5)/100 = 1.05

125260 × 1.05² = 138,099.15

B: growth rate: (100+6)/100 = 1.06

120160 × 1.06² = 135,011.776

Answer:

On the left side,  she used commutative property

On the right side, she used distributive property

Step-by-step explanation:

Answer:

The original price of the food items was 24.

Answer:

Weather Forecasts,Genetics,Medical Studies i think

Step-by-step explanation:

Answer: 1/4

Explanation: Remember that the absolute value of a number is just the positive version of that number. So the absolute value of -1/4 is 1/4.

Answer:

They do have the same solution

Step-by-step explanation:

In the first problem, you subtract 3/4 first. Next you would divide by 2/3. When you divide 7 1/4 by 2/3, you get 87/8. The only step in the second problem is to divide 87 by 8 (87/8).

Answer: 2 prices

Step-by-step explanation:

Price per play = $0.50

Total amount incurred by Gina in playing =$4

Therefore, total games played :

$4 ÷ $0.5 = 8 games.

Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)

Required for winning = (3, 5, 7)

Probability of winning:

P(WIN) = ( required outcome / Total possible outcome)

P(win) = 3/12 = 1/4

Therefore, the number of prices she can expect to win is (1/4) × number of games (8)

(1/4) × (8) = 2

Answer:

x = 16

Step-by-step explanation:

We can use ratios to solve

12             x

--------- = ----------

3                    4

Using cross products

12*4 = 3x

Divide each side by 3

48/3 = 3x/3

16 =x

Step-by-step explanation:

(1) The radius of sphere is 4.5 units.

The volume of volume of sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

[tex]\pi=3.14\ , r=4.5[/tex]

So,

[tex]V=\dfrac{4}{3}\times 3.14\times (4.5)^3[/tex]

Option C is correct.

(2) If we solve the plugged values, then we get :

[tex]V=\dfrac{4}{3}\times 3.14\times (4.5)^3[/tex]

[tex]V=381.5\ \text{units}^3[/tex]

Option C is correct.

Look at the attached picture

Hope it will be helpful to you.

Answer: n = -27

Step-by-step explanation:

2/9n = -6

divide both sides by 2/9

n = -27

Answer: B, C  and E

Step-by-step explanation:

Answer:

The population density is 7592 people per square mile

Step-by-step explanation:

The population density of los Angeles here refers to the number of people present by square miles

Mathematically, to find this population density, what we need to do is to divide the total population that we have by the area of Los angeles

The population here is 4,000,000 while the area is 503 square miles

The population density is thus ;

4,000,000/503 = 7592.29 which is approximately 7592 people per square mile

Answer:

35 rabbits

Step-by-step explanation:

hens : rabbits : total

3     : 5 :  3+5

3     : 5 :  8

We have 56 total animals

56/8 = 7

Multiply each term by 7

hens : rabbits : total

3*7     : 5*7 :  8*7

21       : 35     : 56

There are 21 hens and 35 rabbits    

Answer:

The perimeter is 31 inches

Step-by-step explanation:

The perimeter is the sum of all the sides.

The formula for the area of the rectangle is : [tex]length*width[/tex]

To work this out you would first need to divide the area of 42 by the length of 12, this gives you 3.5. This is because the formula for the area of a rectangle is length multiplied by the width, and so by dividing the area by 12 we are working out the perimeter of the missing side.

Now that we know the lengths of both sides we can begin working out the perimeter. You can do this by multiplying the lengths by 2. Multiply 12 by 2,which gives you 24. Multiply 3.5 by 2, which gives you 7.

The final step in calculating the perimeter would be to add the values of 24 and 7, this gives you 31. This is because the perimeter is sum of all of the lengths of a shape.

1) Divide 42 by 12.

[tex]42/12=3.5[/tex]

2) Multiply 12 by 2.

[tex]12*2=24[/tex]

3) Multiply 3.5 by 2.

[tex]3.5*2=7[/tex]

4) Add 7 and 24.

[tex]24+7=31[/tex]