Solve for x and show work.

Answer:

8 c  3     *   6 c 2 =   56 * 15  =   840 ways

Step-by-step explanation:

First, we consider how many ways there are to choose three boys from eight. There are 8 choices for the first boy, 7 for the second, and 6 for the third. However, because the boys are indistinct from one another, we have overcounted, and must divide by 3*2. Similarly, there are 6*5 ways to choose the two girls, divided by 2 for overcounting. Thus, there are (8*7*6*6*5)/(3*2*2)=840 possible quintets.

Answer:

yes,congruent

reflect about x=-2

translate up 4 and 3 to left

Step-by-step explanation:

same area so they're congruent

*see attachment for the figure

Answer:

Side BC = 3.0 millimeters, Angle A = 66.6 degrees, Side AC = 1.3 millimeters

Step-by-step explanation:

Given:

C = 90°

B = 23.4°

AB = c = 3.3 mm

Required:

<A, BC, and AC

Solution:

✔️m<A = 180° - (90° + 23.4°) (sum of triangle)

m<A = 66.6°

✔️To find BC and AC, apply trigonometric function:

Reference angle = 23.4°

Hypotenuse = 3.3 mm

Opposite = AC

Adjacent = BC

✅Apply CAH to find AC:

Cos 23.4 = Adj/Hyp

Cos 23.4 = BC/3.3

3.3 × Cos 23.4 = BC

3.02859027 = BC

BC ≈ 3.0 mm

✅Apply SOH to find AC:

Sin 23.4 = Opp/Hyp

Sin 23.4 = AC/3.3

3.3 × Sin 23.4 = AC

1.31058804 = AC

AC ≈ 1.3 mm

Answer: B bc=3.0mm, A=66.6, AC=1.3mm

Step-by-step explanation:

Answer:

[tex]10x + 5y[/tex], [tex]6x - 2x + x + 5x + 3y + 4y - 2y[/tex]

A and B

Answer:

In right angled triangle ABC

tan 26=perpendicular/base

tan26 =BC/1050

BC=1050×tan26=512.12m

again

In right angled triangle ADE

tan 38=perpendicular/base

tan38×700=DE

DE=546.9=547m

now

difference in height =547-512.12m=34.8m=35m

35 m is your answer

Josh sees two hot air balloons in the sky as shown. 35m higher is the balloon on the right than the balloon on the left.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

Josh sees two hot air balloons in the sky as shown.

He determines that the lower hot air balloon is 700 meters away, at an angle of 38 from the vertical.

The higher hot air balloon is 1050 meters away, at an angle of 26 from the vertical.

In right-angled triangle ABC

tan Ф = perpendicular/base

tan26 = BC/1050

BC = 1050 × tan26

BC = 512.12m

In right-angled triangle ADE

tan Ф = perpendicular/base

tan 38 = perpendicular/base

tan38 × 700 = DE

DE = 546.9

DE = 547m

The difference in height = 547 - 512.12m

                                        =34.8m

                                       = 35m

Therefore, 35m higher is the balloon on the right than the balloon on the left.

Learn more about trigonometric ratios here:

brainly.com/question/22599614

#SPJ2

Answer:

h = 16x

Step-by-step explanation:

The volume of a sphere and a cone is same such that,

[tex]V_s=V_c\\\\\dfrac{4}{3}\pi r^3=\dfrac{1}{3}\pi R^2h[/tex]

We have, r = x, R = (1/2)x, h= ? (height of the cone)

So,

[tex]\dfrac{4}{3}\pi x^3=\dfrac{1}{3}\pi (\dfrac{x}{2})^2h\\\\4x^3=\dfrac{x^2}{4}h\\\\h=\dfrac{16x^3}{x^2}\\\\h=16x[/tex]

So, the height of the cone is equal to 16x.

Answer:

B

Step-by-step explanation:

6log x + 4log (x+6) = log [tex]x^{6}[/tex] + log [tex](x + 6)^{4}[/tex] = log [tex]x^{6}[/tex][tex](x + 6)^{4}[/tex]

Answer: X = 24/G

G = 24/x

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

(0,5)

x,y

Step-by-step explanation:

Answer:

4) x - intercept: (-7,0)

y-intercept: (0,7)

5) x- intercept: ( 9/8, 0)

y- intercept: ( 0, -9)  

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

First solve the parenthesis 65 + 75= 140

The find half of 140--->70

Answer:

70

Step-by-step explanation:

1 / 2 ( 65 + 75 )

= 1 / 2 ( 140 )

= 140 / 2

= 70

77

11 X 7 is 77.

if u get two numbers on a shape you just multiply it

Answer:

128 servings

Step-by-step explanation:

A recipe Uses 1 1/4 cups of milk to make 10 servings if the same amount of milk is used for each serving how many servings can be made using one gallon of milk

Cups of milk : number of servings = 1 1/4 cups : 10 servings

One gallon of milk = 16 cups

Let x = number of servings

Cups of milk : number of servings = 16 cups : x

Equate both ratios

1 1/4 : 10 = 16 : x

5/4 ÷ 10 = 16/x

5/4 × 1/10 = 16/x

5/40 = 16/x

1/8 = 16/x

Cross product

1 * x = 8 * 16

x = 128 servings

Number of servings = 128

Step-by-step explanation:

Square Mc hammered Square Puff

Answer:

-5(k + 2)

Step-by-step explanation:

Work is defined as the process of energy transferred to an object through force. Whereas power is defined as the amount of energy transferred in unit time.

Answer:

27 miles

Step-by-step explanation:

Find the linear equation which is y = 3x

y = 3(9)

y = 27

Answer:

27 miles is the answer

Step-by-step explanation:

x | y

4 |12

5 | 15

6 |18

7 |21

8 | 24

9 |27

 x is increasing by 1 and y by 3 so  by this way 27 is the answer

Answer:

x=20 degrees.

Step-by-step explanation:

Answer:all students in the social studies club

Answer:

I dont know the answer to this but I was putting this here to tell you how much of a good person you are.  I was taking the ming china cause and effect chart and I didnt know the answer and your answer on that helped me alot and thank you very much you helped my grade to go from a b to an a thank you you are one of the kindest people I know.  Thank you :)

Step-by-step explanation:

Answer:

y = 2x + 3

Step-by-step explanation:

We need to find m and b

Let's input the first 2 points (3, 9) and (5, 13) into y = mx + b

9 = m*3 + b

13 = m*5 + b

subtract the first from the second

13 - 9 = m*5 + b - (m*3 + b)

4 = m*2

m = 2

Now let's input m = 2 into 9 = m*3 + b

9 = 2*3 + b

9 = 6 + b

3 = b

So the final relationship is y = 2x + 3

We can verify that the other two points (8, 19) and (11, 25) also conform to this relationship.

Answer:

1.2 packages per dollar

Step-by-step explanation:

Number of packages = 6

Total cost in dollars = $5

Number of packages per dollars = Number of packages / Total cost in dollars

= 1.2 packages per dollar

Let

P = number of packages

d = cost in dollars

k = constant of proportionality

P = k * d

6 = k * 5

k = 6/5

k = 1.2

Constant of proportionality = 1.2