The rectangle is 20 by 16 and the scale factor is 0. 25. What are the dimensions of the reduced rectangle?.

For the line and the plane to be perpendicular, they have to meet at right angles

The equation for the plane is x + 2y + 3z= 26

From the complete question, we have:

Point = (5,0,7)

Plane perpendicular to ⟨1,2,3⟩

The general equation is:

a * x+b * y+c * z = d

So, we have:

d = 5 * 1 + 2 * 0 + 7 * 3

Evaluate

d = 26

Recall that:

d = 5 * 1 + 2 * 0 + 7 * 3

Replace the points with x, y and z.

So, we have:

d = x * 1 + 2 * y + 3 * z

Evaluate

d = x + 2y + 3z

So, we have:

d = x + 2y + 3z and d = 26

Equate both equations

x + 2y + 3z= 26

Hence the equation for the plane is x + 2y + 3z= 26

Read more about perpendicular planes at:

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Answer:

8.5 cm

Step-by-step explanation:

volume = height × area of base

since this a square, area of base = x²

so 289 = 4 × x²

x² = 289 ÷ 4

x² = 72.25

so x = √72.25

x = 8.5cm

hope this helps

Answer:

ans is 10

Step-by-step explanation:

by using pythagoras theorm

26^2=a^2+24^2

a^2=100

a=10

Answer:

2x(2²+3³)

I HOPE THIS HELP, THANKS ME LATER

Answer:

Factor by using the AC method-

1. (x+1) (x+4)

Factor by grouping-

2. (4x-3) (x+2)

Answer:

i think it's c

Step-by-step explanation:

a. 2/100 × 150= 3. b. 100×400=40000. c. 6/100 ×60= 1.2 ×3=3.6. d. 69×50=3400 so answer c.

Answer:

It's -32x^2

Step-by-step explanation:

[tex]S=\frac{1}{2}\times4\times4=8\ {\rm units}^2[/tex]

[tex]\left\{co\ calculate\right.\ \ \ \ \ \ \ \ \ \ \left\{S=\frac{1}{2}\right.\left.\ ah\right\}[/tex]

I hope this helps you

:)

The length of fencing required is 34.34 feet.

Data;

To find the total length of fencing required, we have to find the perimeter of a rectangle since the garden has a rectangular shape.

[tex]P = 2(L + W)[/tex]

We can substitute the values in the formula of perimeter above and proceed to solve.

[tex]P = 2(L+W) \\P = 2(12.67 + 4.5) \\P = 2(17.17)\\P = 34.34ft[/tex]

The length of fencing required is 34.34 feet.

Learn more on perimeter of a rectangle here;

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I suppose, your answers are already given at the bottom of this page..

Answer:

  D.  $8 per hour

Step-by-step explanation:

The rate of pay is found by dividing the pay by the number of hours it is for.

  $40/(5 h) = $8/h

The worker gets paid $8 per hour.

Explanation:

8 people picked comedy out of 14+8+2+4 = 28 people total.

8/28 = (4*2)/(4*7) = 2/7 is the probability of randomly selecting someone who picked comedy as their favorite.

check the answer in the solution part.

[tex]Solution:\ f(x)=-6x-3.\ when\ x=0.\ f(x)=-3[/tex]

                 [tex]h(x)=2\ cos(x+\pi)-1\ when\ x=0.h(x)=-3\\ So\ we\ can\ know\ \left|-3\right|=\left|-3\right|\ so\\ the\ two\ functions\ has\ the\ same\\ y-intercepts.[/tex]

I hope this helps you

:)

Answer: There are 24 monkeys in the tress.

Step-by-step explanation:

Considering the double line graph, it is found that a good prediction for eighth grade enrollment in 2010 is of 165.

It states that:

In 2009, there were 150 students enrolled in the 8th grade, hence an estimate for 2010 should be of about 165 or 170 students.

More can be learned about graphs at https://brainly.com/question/24808124

Answer:

165

Step-by-step explanation:

The area of the shaded region is  [tex]\rm (150\sqrt{3} \ - 75\pi ) \ feet^2[/tex] option first is correct.

It is given that a circle is inscribed in a regular hexagon with sides of 10 feet.

It is required to find the shaded area (missing data is attached shown in the picture).

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have a hexagon with a side length of 10 feet.

We know the area of the hexagon is given by:

[tex]\rm A = \frac{3\sqrt{3} }{2} a^2[/tex]  where a is the side length.

[tex]\rm A = \frac{3\sqrt{3} }{2} 10^2[/tex] ⇒ [tex]150\sqrt{3}[/tex] [tex]\rm feet^2[/tex]

We have the shortest length = x feet and from the figure:

2x = 10

x = 5 feet

The radius of the circle r = longer leg

[tex]\rm r = x\sqrt{3} \Rightarrow 5\sqrt{3}[/tex] feet

The area of the circle a = [tex]\pi r^2[/tex]  ⇒ [tex]\pi (5\sqrt{3} )^2 \Rightarrow 75\pi \ \rm feet^2[/tex]  

The area of the shaded region = A - a

[tex]\rm =(150\sqrt{3} \ - 75\pi ) \ feet^2[/tex]

Thus, the area of the shaded region is  [tex]\rm (150\sqrt{3} \ - 75\pi ) \ feet^2[/tex]

Learn more about circle here:

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Answer:

option A

Step-by-step explanation:

Answer:

2345

Step-by-step explanation:

5499025

5 1099805

5 219961

7 31423

7 4489

67 67

67 1

5x5x7x7x67x67

pick one of the doubles

5x7x67

=2345

brainiest please

Answer:

A

Step-by-step explanation:

Look at where the two lines intersect.

Considering the equation given, the formula for h(n) in terms of n is given by:

h(n) = -2n - 13

The equation given is:

m + 1 = -2(n + 6).

We want to write m as a function of n, hence:

m + 1 = -2(n + 6).

m = -2n - 12 - 1

m = -2n - 13

Hence:

h(n) = -2n - 13

More can be learned about equations at https://brainly.com/question/25537936

distance : 15 units

coordinates :  (7,0) and (-8, 45)

slope:

[tex]\sf \rightarrow \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\sf \rightarrow \dfrac{45-0}{-8-7}[/tex]

[tex]\sf \rightarrow -3[/tex]

equation:

[tex]\hookrightarrow \sf y - 0 = -3(x-7)[/tex]

[tex]\hookrightarrow \sf y = -3x+21[/tex]

the y-intercept of this function:

[tex]\hookrightarrow \sf y = -3(0)+21[/tex]

[tex]\hookrightarrow \sf y =21[/tex]

distance between both y-intercept :

Answer:

A (0,3)

Step-by-step explanation:

The Y-intercept is where X equals 0  

When X equals zero, Y equals 3.

Answer:

4items

Step-by-step explanation:

bought 8items

p=10%

10\20×8

Answer:

12

Step-by-step explanation:

these are 2 similar triangles, as due to the construction we have 3 corresponding pairs of equal angles (the 47° angle is a given as equal, then due to the rules of crossing lines the inner angles as S must be equal as opposite angles, and that automatically makes the third angles equal, as the sum of all angles in a triangle must be always 180°).

in similar triangles the length ratio of corresponding sides is the same for all corresponding sides and lengths in these triangles.

so, we can use the sides opposite of the 47° angles to find that ratio :

21/9 = 7/3

and now also the sides 28 and x must have the same ratio :

28/x = 7/3

4/x = 1/3

12/x = 1

x = 12

Answer: C

Step-by-step explanation:

Reflecting over the x axis, the image of a point in Quadrant 2 is a point in Quadrant 3.

Answer:

Figure C

Step-by-step explanation:

Using the probability concept, it is found that there is a:

A. 0.5116 = 51.16% probability that a student will like Top-Hits.

B. 0.7907 = 79.07% probability that a student will like country or R&B.

C. 0.9186 = 91.86% probability that a student will not like all three generes of music.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

According to the Venn diagram, there is a total of 18 + 8 + 11 + 7 + 24 + 1 + 17 = 86 students.

Item a:

18 + 11 + 7 + 8 = 44 like top hits, hence:

p = 44/86 = 0.5116.

0.5116 = 51.16% probability that a student will like Top-Hits.

item b:

24 + 11 + 7 + 1 + 17 + 8 = 68 like country of R&B, hence:

p = 68/86 = 0.7907.

0.7907 = 79.07% probability that a student will like country or R&B.

Item c:

Only 7 like all three, hence 86 - 7 = 79 do not.

p = 79/86 = 0.9186.

0.9186 = 91.86% probability that a student will not like all three generes of music.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer: the answer is

Step-by-step explanation:

They sent 36 coupons to the existing members

Answer:

if it takes yards and turns it into feet then it just multiplies it by 3

Step-by-step explanation:

Answer:

\ is the same as ÷

=d) 5 divided by 6