Question 26 of 27
Find the value of x that makes ABCD a parallelogram.

Answer:

[tex]ab( {a} ^{2} + {b)}^{2} \\ [/tex]

[tex] {a}^{ 3} b + a {b}^{3} [/tex]

Answer:

52 cm

Step-by-step explanation:

The only tricky part is getting the not measured side. However, you have a portion of it. 16-11=5, and that is the missing side. Then just add everything together.

Answer:

Question 23) 12 x 6√3 = 72√3

Question 24) 672 cm³

Answer:

rectangular is 114ft and triangular is 112ft

Step-by-step explanation:

Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT

Since VR = length * width and height

VR = 6*x*3

VR = 18x ft³

Also VT =  Length *width * Height/2

VT = (7 * x * 4)/2

VT = 28x/2

VT = 14xft³

Since VR = 32 + VT

18x = 32+(14x)

collect like terms

18x-14x = 32

4x = 32

divide both sides by 4

4x/4 = 32/4

x = 8

Volume of the rectangular prism = 18x

Volume of the rectangular prism = 18*8

Volume of the rectangular prism = 144ft³

Volume of the right triangular prism = 14x

Volume of the rectangular prism = 14*8

Volume of the rectangular prism = 112ft³

The height of the stump tree which can be modeled by considering it as a right cylinder is 35.9 inches.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Since the base of a cylinder is circular in shape, the circumference is expressed as;

C = 2πr

Given that the circumference of the base is 84 in, we can now calculate the radius r.

C = 2πr

84in = 2 × 3.14 × r

84in = 6.28 × r

r = 84in / 6.28

r = 13.4in

Now, the Radius of the cylinder r = 13.4in and its volume = 20214in³, we substitute this values into the expression for volume of cylinder above to find the height h.

V = π × r² × h

20214in³ = 3.14 × ( 13.4in)² × h

20214in³ = 3.14 × 179.56in² × h

20214in³ = 563.8in² × h

h = 20214in³ / 563.8in²

h = 35.9in

Therefore, the height of the stump tree which can be modeled by considering it as a right cylinder is 35.9 inches.

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Answer:

I did how you told us to do it and I came up with 98 im not sure if that the right answer but I try to help

find circumference of the circle whose parameter is 14 cm

Find the circumference of a circle with diameter 14 cm

Answer: The slope is 1

Step-by-step explanation:

We can see that between the two points it goes up 2 units (rise) and right 2 units (run).

Since slope is [tex]\frac{rise}{run}[/tex] we can sub in the values to find the answer

[tex]\frac{rise}{run}=\frac{2}{2} =1[/tex]

Answer:

144040.3333

Step-by-step explanation:

275*523 = 143825

19x34/3 = 215.3333333

so add them up to get 144040.3333

Answer:

144040.333333

Step-by-step explanation:

start with parenthesis (275x523)

This would get you, 143825.

Next, you would do, (19x34/3)

That would get you, 215.333333333.

Finally, you would add the two numbers together and get a product of 144040.333333.

Answer:

A = 113.04 ft² or 36π ft²

Step-by-step explanation:

Area of a circle: πr²

radius: d/2 (12/2 = 6 ft)

π (pi) = 3.14

Solve:

A = πr²

A = 3.14(6)²

A = 3.14(36)

A = 113.04 ft² or 36π ft²

Hope this helps!

The time it take riders to pass over the hill and reach ground level is 111.19seconds

Given the roller coaster's height expressed by the function below;

h = -0.067t^2 + 7t + 50

where

t is the time in seconds

The driver will hit the ground at the point where h = 0

Substitute

-0.067t^2 + 7t + 50 = 0

Multiply through  by -1
0.067t^2 - 7t +-50 = 0

Factorize

On factorizing, the positive value of "t" is 111.19 seconds

Hene the time it take riders to pass over the hill and reach ground level is 111.19seconds

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Answer:

D) 111.19

Step-by-step explanation:

Step 1:

set h = 0

0 = -0.067t^2 + 7t + 50

Step 2:

multiply by -1

0 = 0.067t^2 - 7t - 50

Step 3:

My way may differ than your way but my is plug in all answer choices as t. If the answer choice equal to 0 meaning the answer.

A choice

0 = 0.067(13.40)^2 - 7(13.40) - 50

0 = 12.03 - 94.5 -50

0 = - 132.47

It doesn't equal to 0 meaning this choice is wrong answer

B choice

0 = 0.067(50.07)^2 - 7(50.07) - 50

0 = 167.96 - 350.49 - 50

0 = - 232.53

It doesn't equal to 0 meaning this choice is wrong answer

C choice

0 = 0.067(52.24)^2 - 7(52.24) - 50

0 = 182.84 - 365.68 - 50

0 =  - 232.84

It doesn't equal to 0 meaning this choice is wrong answer

D choice

0 = 0.067(111.19)^2 - 7(111.19) - 50

0 = 828.33 - 778.33 - 50

0 = 0

It does equal to 0 meaning this choice is right answer

The answer is D) 111.19

Pls give me brainiest (I worked hard for this)

Answer:

Hi good job

Step-by-step explanation:

Answer:

540 Mies per hour

Step-by-step explanation:

add 600 and 480 then divide by 2

Alyssa's average speed on the round trip is 540 Mies per hour.

We have given,

The speed of the jet Alyssa flew on from Boston to London was 480

mph.

On her return flight, the speed of the jet was 600 mph with a tail

wind.

[tex]average speed=\frac{a+b}{2}[/tex]

a=inital speed

b=final speed

add 600 and 480 then divide by 2

That can be given by

[tex]=\frac{600+480}{2}\\\\=\frac{1080}{2}\\\\=540[/tex]

Alyssa's average speed on the round trip is 540mph.

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Answer:

i dont know

Step-by-step explanation:

hope you find you answer

Answer:

See below ....question is a bit unclear

Step-by-step explanation:

He makes  133.33 per hour with shocks and only 100 per hour with brakes.

he should only do 36/3 = 12 shock jobs per week and no brakes.

  if he HAS to do at LEAST 3 brake jobs

     then he should do   3 brakes  and 10 shocks  

Answer:

Equation of straight line is y=Mx+X

or, y-7=-1/5x(x-(-1)

Hence y-7=-1/5x(x-(-1) is the required equation.

Answer:

ok i heres the answer

Step-by-step explanation:

there you go have a nice day

In a circle, angles subtended by the same arc at the circumference are equal. This means that angles in the same segment are equal.

Using this equation, we can create the following equation:

[tex]4x=3x+10[/tex]

For which we can solve to get:

[tex]x=10[/tex]

Hope this helps!

Answer:

d

Step-by-step explanation:

Hardware store:

4 bulbs = $20

1 bulb = $20 / 4 = $5

Grocery store:

6 bulbs = $24

1 bulb = $24 / 6 = $4

The difference in price = $5 - $4 = $1

The grocery store sells at the lesser price.

So, the grocery store charges $1 less per light bulb than the hardware store.

Answer:

[tex]\displaystyle -7[/tex]

Explanation:

[tex]\displaystyle \boxed{-7} = \frac{14}{-2}[/tex]

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

To solve this problem, you have to find the value of x to isolate it on one side of the equation.

First, you divide by -2 from both sides.

-2x/-2=14/-2

Solve.

Divide these numbers from left to right.

14/-2=-7

x=-7

Answer:

approximately 300 yards per minute

Step-by-step explanation:

The work is equal to the dot product of the force and displacement vectors:
W = (115 i + 350 j) • (-13 i + 15 j)

W = 115 × (-13) + 350 × 15

W = 3755

Answer:

0? There's no yellow.

Step-by-step explanation:

The two other two vertices will be (6, 10) and (8, 10)

A rectangle is a 2-dimensional shape with equal opposite sides. The formula for calculating the area is given as:

Area = length * width

Given;

Area = 18 square units

Length = x2 -x1 = 8 -6
length = 2 units

Determine the width

Width = A/l

Width = 18/2
Width  = 9 units

Hence the two other two vertices will be (6, 10) and (8, 10)

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Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width to the big square is 60cm. The length to the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

⋅

W

=

56

⋅

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

⋅

W

=

24

⋅

34

=

816

The area enclosed is the area of the big square minus the area of the little square.

3360

−

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

9+10=19

11+8=19

Hope it Helps

Answer:

The polynomial of degree 3 ,P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1 at x=−1. The y-intercept is y=−0.2

Answer:

53 degrees

Step-by-step explanation:

since 180 is a straight line and 90 is half of that, all you need to do is take 37 away from 90 and you get 53

The equivalent degree of the of the expression is 53 degrees .

Given,

180° - 90° - 37°

Now,

The equivalent value of the expression :

180° - 90° - 37°

Firstly compute the like terms,

-90° - 37°

= -127°

Now,

180° - 127°

= 53°

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Answer:

Step-by-step explanation:

The interest amount per year is

Number of years is

Answer:

2 years

Step-by-step explanation:

Simple Interest Formula

I = Prt

where:

Given:

Substitute the given values into the formula and solve for t:

⇒ 150 = 2500(0.03)t

⇒ 150 = 75t

⇒ t = 150 ÷ 75

⇒ t = 2

Therefore, it will take 2 years to collect $150 in interest.