what is the slope of the line ?

Answer:

i think 3

Step-by-step explanation:

Answer:

As shown in picture, this is a trapezoid.

The area of a trapezoid is calculated by:

A = (base1 + base2) x height x (1/2)

To work out A, we need to find out base1, base2, and height.

base1  = YZ = [tex]\sqrt{(Zx - Yx)^{2} + (Zy - Yy)^{2} } = \sqrt{(5 - 2)^{2} + (5 - 5)^{2} } = 3[/tex]

base2 = XW =[tex]\sqrt{(Wx - Xx)^{2} + (Wy - Xy)^{2} } = \sqrt{(8 - 1)^{2} + (1 - 1)^{2} } = 7[/tex]

Otherwise, the height (distance between base1 and base2) is 4 as shown in picture.

=> A = (3 + 7) x 4 x (1/2) = 20

Hope this helps!

:)

Answer:

0.414141...

Step-by-step explanation:

Use a calculator to divide 41 by 99. The answer is a non-terminating, repeating decimal.

41/99 = 0.414141...

Answer:

6.0

Step-by-step explanation:

Answer:

These are called Parallel Lines

Answer:

Parallel lines never intersect

Step-by-step explanation:

The distance between the parallel lines remains constant.

Answer:

Probability= 22/29

Step-by-step explanation:

Total no. of marbles= 29

No of red marbles=5

No of green marbles= 2

No of marbles which are neither red nor green= 29-(5+2)

                                                                              =29-7

                                                                              =22 marbles

Probability= 22/29

The probability of randomly selecting a marble that is neither red nor green will be 22/29. Then the correct option is D.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

In a bag containing 29 marbles, 5 of the marbles are red and 2 are green.

Then the favorable event is given as,

Favorable event = 29 - 2 - 5

Favorable event = 22

Then the probability is given as,

P = 22 / 29

The probability of randomly selecting a marble that is neither red nor green will be 22/29. Then the correct option is D.

More about the probability link is given below.

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Answer:

If she worked 24 hours then she would get 216 cash in dollars.

Step-by-step explanation:

All you would have to do is multiply 9 by 24 and you would get 216 dollars. and i thin this is correct.

Answer:

6

Step-by-step explanation:

Given:  (5,-9) is on the graph of f(x)

To find: corresponding point for the function [tex]\frac{-2}{3}[/tex] f(x)

Solution:

A graph refers to a pictorial representation that represents the relationship between two or more things in an organised manner. It consists of two axes x-axis and y-axis perpendicular to each other at the origin.

As  (5,-9) is on the graph of f(x),

[tex]f(5)=-9[/tex]

So, [tex]\frac{-2}{3}f(x)=\frac{-2(-9)}{3}=\frac{18}{3} =6[/tex]

Answer:

The length of EF is 5.29

Step-by-step explanation:

If BC = 12 then;

FB = 12 × sin65 = 10.876

BA = FB/(sin50) = 10.876/(sin50) = 14.2

BD = AB (Sides of isosceles triangle) = 14.2

∴ DF = BD + FB = 10.876 + 14.2 = 25.07

∠F C D = tan⁻¹(D F/F C) =  tan⁻¹(25.07/(12×cos65)) = 78.6

∠F A D = tan⁻¹(D F/A F) =  tan⁻¹(25.07/(14.2×cos50)) = 70

∴ ∠D = 180 - (78.6° + 70°) = 31.4°

AE = AD × sin31.4° = 2×AB×cos(70° - 50°) × sin31.4

∴ AE =  2×14.2×cos(20°) × sin31.4 = 13.92

EC = AC × cos78.6° = (AB×cos50 + BC×cos65)×cos78.6° = 2.815

Therefore, from cosine rule, a² = b² + c² - 2·b·c × cos(A)

Hence, we have;

EF² = EC² + FC² - 2 × EC × FC ×cos∠FCD (Cosine rule)

That is, EF² = 2.815² + (12×cos65)² - 2 × 2.815× (12×cos65) ×cos78.6°

EF² = 27.98

∴EF = √27.98 = 5.29.

Answer:

The length of EF is 5.29

Step-by-step explanation:

Answer:

110 words in 5 min, 220 words in 10 min

Step-by-step explanation:

y = mx (there is no intercept because you can't type anything in 0 minutes)

66 = 3m

m = 22

y = 22x

5 minutes:

y = 22(5) = 110 words

10 minutes:

y = 22(10) = 220 words

Your answer is A. (0,0)

The equation of the line is in the form y = mx + b, where m is the slope and b is the y-intercept, which is where the line cuts the y-axis.

In the line y = 4x, the ‘m’ would be 4 and the ‘+ b’ would be 0, which means that the line cuts the y-axis when y = 0.

There are only 2 answer options that have y = 0, A (0, 0) and D (4, 0). To find out which is correct, we can substitute in y = 0 into the equation y = 4x to see what the x-value would be:

y = 4x

0 = 4x

0 = x

Therefore the answer is A.

I hope this helps!

Think of y = 4x as y = 4x + 0.

If you don't have anything you're adding to

adding or subtracting to then it's 0.

Now our equation is in slope-intercept form.

We can write this as the ordered pair (0, 0).

Answer:

70

Step-by-step explanation:

Answer:

The answer is 70.

Step-by-step explanation:

In order to find the value of k(-5), you have to substitute the value of x into the function k :

[tex]k(x) = 6x + 100[/tex]

Let x = -5,

[tex]k ( - 5) = 6( - 5) + 100[/tex]

[tex]k( - 5) = - 30 + 100[/tex]

[tex]k( - 5) = 70[/tex]

Answer:

390 and 715

Step-by-step explanation:

Answer:

Charlie invests $325 in an account that pays 8% simple interest for 15 years.

Use the simple interest formula, I = P ∙ r ∙ t, to answer the following questions.

How much interest will Charlie’s initial investment earn over the 15-year period?

✔ $390

How much money does Charlie have after the 15 years?

✔ $715

Step-by-step explanation:

Answer:

Around 34.14% of the cookies are between 11.32 and 11.35 grams.

Step-by-step explanation:

In a normal distribution around 68.28% of the values are around minus one to one standard deviation. In this case we want to know the percentage of values that are between zero and one standard deviation, therefore the percentage of values that are in that range is given by 68.28% / 2 , which is equal to 34.14%.

Answer:

360°

Step-by-step explanation:

degrees are needed

Answer:

380.8cm³

Step-by-step explanation:

Volume of a Cylinder is: [tex]V=\pi r^2h[/tex]

'r' is the radius.

'h' is the height.

We are given a height of 9.9 cm and a diameter of 7cm.

The radius is half the diameter.

Divide 7 by 2:

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

The radius is 3.5 cm.

Solve for The Volume (Using 3.14 for pi):

[tex]V=3.14*3.5^2*9.9\\\rightarrow3.5^2=12.25\\V=3.14 * 12.25 * 9.9\\V=38.465 * 9.9\\\boxed {V=380.8035}[/tex]

380.8035 ≈ 380.8

The volume of the cylinder should be 380.8cm³.

Answer:

Jonathans car can go 15 miles per gallon of gas

Step-by-step explanation:

Do 45 divided by 3

Answer:

15 miles

Step-by-step explanation:

Take the number of miles and divide by the number of gallons

45 miles / 3 gallons

15 miles per gallon

Answer:

30.33

Step-by-step explanation:

33.70 x .10= 3.37 (discount)

33.70 - 3.37= 30.33

Answer:

Option D.

Step-by-step explanation:

From the given graph,

Center of the circle = (-4, -2)

This circle passes through a point (0, -3),

Radius of the circle = Distance between center and point (0, -3)

r = [tex]\sqrt{(0+4)^{2}+(-3+2)^{2}}[/tex]

r = [tex]\sqrt{17}[/tex]

Standard equation of the circle is,

(x - h)² + (y - k)² = r²

Where (h, k) is the center and r is the radius of the circle.

By putting the values in this equation,

(x + 4)² + (y + 2)² = (√17)²

(x + 4)² + (y + 2)² = 17

Option D. will be the answer.

Answer:

The larger pyramid is 5,376 inches^3 greater

Step-by-step explanation:

To calculate how many inch greater the volume of the larger pyramid compared to the volume of the new smaller pyramid, what we do is to calculate the volume of both.

Mathematically, the volume of a square pyramid = area of base * height of pyramid

For the larger pyramid, length of base is 16 inches and height is 24 inches;

The area of base is L^2 since it is a square; 16 * 16 = 256 inches^2

The volume is thus 256 * 24 = 6,144 inches^3

For the smaller pyramid also, we use the same approach but this time, length of base is 8 inches and height is 12 inches

Area of base = 8 * 8 = 64 inches^2

Volume = 64 * 12 = 768 inches^3

Now how much more is the larger pyramid, that would be the volume of the larger pyramid- volume of the smaller pyramid = 6144 - 768 = 5,376 inches^3

Answer:

y = 1500 - 75t

It will take her 20 months to pay off her TV loan.

Step-by-step explanation:

Vanessa purchased a smart TV for $1500 on a payment plan.  After 4 months of purchasing the TV her balance was $1200 . 7 month her balance was $975.  The amount she pays every month can be calculated as follows. After 4 months she paid 1500 - 1200 = $300. Her balance is $1200. Divide 300 by 4 to get $75 per month as the amount she pays every month.

1500 - 975 = 525/7 = $75 per month.

The equation to model the balance y after t months can be expressed below.

y = 1500 - 75t

where

y = balance

t = number of months

Her balance should be $0 for her to be able to pay off the TV loan.

y = 0

-1500 = -75t

divide both sides by -75

t = -1500/-75

t = 20

It will take her 20 months to pay off her TV loan.

Answer:

23/45 or0.51

Step-by-step explanation:

convert:the equation

u will hv 37/9-18/5

subtract. 37/9-18/5=23/45

23/45 or 0.51

Start from 7, then add 5 each time.

a7 is 7 plus 30, or 37.

Step-by-step explanation:

I think both are correct because Jessica says 30000 is 10 times of 3000 and she is right whereas Raul says 3000 is 1 / 10 of 30000 he is also right

Answer:

Area of regular polygon: ( About ) 442.8 units^2; Option C

Step-by-step explanation:

~ In this situation we can apply the formula 1/2 * a * P, provided a ⇒ apothem, and P ⇒ Perimeter of the shape ~

Here we are directly provided with the apothem, which makes it a whole lot easier than dividing the figure into triangles, drawing an altitude to one of the triangles, determining the tan degree of the triangle etc.

1. Given one of the sides to be 11 units, the perimeter of this hexagon would be 11 * 7, as it is implied that it is a regular polygon ⇒ Perimeter: 77 units

2. Now let us substitute the apothem and perimeter into this formula to determine the area of this regular polygon: 1/2 * 11.5 * 77 ⇒ 442.75

Area of regular polygon: ( About ) 442.8 units^2

M<2 is 110° and m<1 is 70° bc it’s supplementary angles so 180-110=70°

Step-by-step explanation:

The value of the trigonometry function sin θ in the triangle would be, 0.34.

Used the concept of trigonometry function,

sin x = Opposite / Base

Given that,

A triangle with angles is shown in the figure.

Since we know that,

sin x = Opposite / Base

Here, for the angle θ;

Opposite = 7.78

Base = 22.6

So, we get;

sin x = Opposite / Base

sin θ = 7.78 / 22.6

sin θ = 0.34

Thus, The value of the trigonometry function sin θ would be, 0.34.

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Answer:

The base

Step-by-step explanation:

Just did it

Answer:

the base (b)

Step-by-step explanation:

edg. 2021

Answer:

1) The volume of the model is 3159 in.³

2) The height of the real facility is 61.94 ft

Step-by-step explanation:

1) The parameters given are;

Volume of the Estabrook hall = 117 ft³

Scale of model = 1:4

For the scale factor of a volume, we have;

[tex]Volume \, scale \, factor =\left (\frac{a}{b} \right )^3 = \left (\frac{1}{4} \right )^3 = \frac{1}{64}[/tex]

That is the volume of the model is 1/64 times the volume of the actual Estabrook hall restrooms or

[tex]\frac{1}{64} \times 117 \, ft^3= 1\tfrac{53}{64} \, ft^3[/tex]

∴ The volume of the model = 1.83 ft.³

1 ft.³ = 1728 in.³

∴ 1.83 ft.³ = 1.83 ft.³ × 1728 in.³/ft.³ = 3159 in.³

2) Where the model of the floor has an area of 117 in.²

Therefore, since the volume of a rectangular prism shape = Floor area × Height, we have

The height, h = Volume/(floor area) = 3159/117 = 185.8 in.

From a scale of 1:4, we have that the height of the real facility = 4 × 185.8 in.

Hence, the height of the real facility = 743.3 in = 61.94 ft.