20
2, Nine people fit comfortably in a 3 ft. by 3 ft. area. Use this value to
estimate the size of a crowd that is 8 yards deep and 1 mile long.
Determine the Area of the crowd?
A. Area = 3 feet x 3 feet
B. Area = 8 yards v 1 mile = (8 x 3 feet) x (1 x 5280 feet)
C. Area = 24 feet x 1 feet.
D. Area = 8 feet x 5280 feet
.

Answer:

Below.

Step-by-step explanation:

If the length is x then the width is x-9 inches.

Perimeter

= 2L + 2W = 86

2x + 2(x - 9) = 86

4x - 18 = 86

4x = 104

x = 26

So the length is 26 inches and the width is 17 inches.

Applying the midsegment theorem and the definition of isosceles triangle:

DE = 4.5 units

m∠CAB = 45°

The image that shows ΔABC is attached below.

Since AB = BC, therefore, ΔABC is an isosceles triangle.

This implies that, the base angles will be equal.

Thus:

If m∠ABC = 90°, therefore,

m∠CAB = ½(180 - 90)

m∠CAB = 45°.

DE is the midsegment of the triangle, and is parallel to the third side, CA = 9 units.

Based on the midsegment theorem, we have the following equation:

DE = ½(9)

DE = 4.5 units.

Therefore, applying the midsegment theorem and the definition of isosceles triangle:

DE = 4.5 units

m∠CAB = 45°

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Answer:

4.5
45

Step-by-step explanation:

Answer:

The corresponding point is (-8, -6).

Step-by-step explanation:

Given that

(-6,-6) lies on the graph of [tex]f(x)[/tex]

A function is represented in the form:

[tex]y = f(x)[/tex]

i.e. (-6,-6) means value of x = -6 is put and value y came out as -6.

[tex]f(-6) = -6[/tex]

Now, we have to find the corresponding point on [tex]f(\frac{3}{4}x)[/tex].

We know the value of [tex]f(-6)[/tex]

Let us find the value of x where [tex]\frac{3}{4}x[/tex] becomes equal to -6

[tex]\dfrac{3}{4}x=-6\\\Rightarrow 3x=-24\\ \Rightarrow x =-8[/tex]

So, let us put value of [tex]x = -8[/tex] in [tex]f(\frac{3}{4}x)[/tex]:

[tex]f(\frac{3}{4}\times (-8))\\\Rightarrow f(3\times (-2))\\\Rightarrow f(-6) = -6[/tex](as per given statement)

So, the corresponding point is (-8, -6).

Answer:

4 pieces

Step-by-step explanation:

Total length of lumber = 9 feet

How many 2 1/4 foot pieces can you cut from this piece of lumber

To find the number of 2 1/4 foot pieces of lumber in a 9 feet of lumber, we will divide the total length of lumber by the length of each piece of lumber

9 ÷ 2 1/4

= 9 ÷ 9/4

= 9 × 4/9

= 36/9

= 4 pieces of lumber

Therefore, 4 pieces of 2 1/4 foot of lumber can be gotten from 9 feet of lumber

Answer:

True.

Step-by-step explanation:

Cheetahs can reach speeds of 109.4–120.7 km/h (68.0–75.0 mph), and some have been recorded at over 80mph. The cheetah can accelerate from 0 to 96.6 km/h (60.0 mph) in under three seconds, though endurance is limited.

The second fastest land animal is the Pronghorn antelope at 98kph (60mph).

Answer:

It is a Fact because it can run 70mph or 112kph

-5,3,-2,1 on a number line

<-|----|----|----|----|----|----|----|----|->

-5 -2 0 1 3

Answer:

hello,

Step-by-step explanation:

height=23*tan(30°)=0.56*23=12.88 (ft)

Hey There!!

Your best choice is 76%

Because, 19/25 = x/100

25x = 1900

x = 76

°He got 76% correct!!°

By °Itsbrazts°

Answer:

76%

Step-by-step explanation:

Thomas got 19/25 marks.

** Note: Percents are always out of 100.

We don't know how many marks he got out of 100.

=> 19/25 = x/100

There are two ways to solve it from now.

=> Multiply 19 and 100; 25 and x

=> 25x = 1900

Next, Divide 25 on each side.

=> 25x/25 = 1900/25

=> x = 76

He got 76% on the quiz.

Another way is:

=> 19/25 = x/100

=> We need to divide 25 from 100.

=> We get 4.

So, 25 x 4 = 100

=> 19 x 4 = x

=> x = 76

He got 76% on the quiz.

Both ways are correct.

Answer:

$420

.8 x = 336

x = 336/.8

X=$420

Step-by-step explanation:

Answer:

Length of diagonal = 6

Step-by-step explanation:

Given that

Diagonal of a rectangle makes an angle of [tex]30^\circ[/tex] with the longer side.

Kindly refer to the attached diagram of the rectangle ABCD such that diagonal BD makes angles of [tex]30^\circ[/tex] with the longer side CD and BA.

[tex]\angle CDB =\angle DBA =30^\circ[/tex]

Side AD = BC = 3 units

To find:

Length of diagonal BD = ?

Solution:

We can use the trigonometric ratio to find the diagonal in the [tex]\triangle BCD[/tex] because [tex]\angle C =90^\circ[/tex]

Using the sine :

[tex]sin\theta = \dfrac{Perpendicular }{Hypotenuse }[/tex]

[tex]sin\angle CDB = \dfrac{BC}{BD}\\\Rightarrow sin30^\circ = \dfrac{3}{BD}\\\Rightarrow \dfrac{1}2 = \dfrac{3}{BD}\\\Rightarrow BD =2 \times 3 \\\Rightarrow BD = \bold{6 }[/tex]

So, the answer is:

Length of diagonal = 6

Answer:

[tex]\huge\boxed{x = 8}[/tex]

Step-by-step explanation:

[tex]\sf -18 = -3x+6\\Subtracting \ 6 \ to \ both \ sides\\-18-6 = -3x\\-24 = -3x\\Dividing \ both \ sides \ by \ -3\\8 = x\\OR\\x = 8[/tex]

Answer:

x = 8

Step-by-step explanation:

Here, -3x = -24

x = 8

hope that helps you

Answer:

It's 3/40

Step-by-step explanation:

Answer:

3/40

Step-by-step explanation:

Multiply the numerator by the other numerator (top number) to get 1*3=3.

Then multiply the denominator by the denominator (bottom number) to get 8*5=40.

Final answer is: 3/40

The statements that can be used to describe the reasoning used to determine if Kelsey’s inequality is correct include:

It should be noted that the inequality symbol is incorrect because she can spend up to and including $65.

Based on the information given, the correct expression that can be used to solve the question should be:

65 - (5.50b + 7.5)

In conclusion, the correct options are B and C.

Read related link on:

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Answer:

B and C

Step-by-step explanation:

Answer:

4 inch

Step-by-step explanation:

given that the ratio of the floor plan with that of the actual measurement =

                                                                 1 inch : 2 feet....................(1)

so we have to find the length of the house on the floor plan if the actual measurement is 8 feet.

using eq (1), we can say that the length on the floor plan will be half of the actual length.

therefore if the actual length of the house is 8 feet, then

                           length of the house on the floor plan = 8/2

                                                                                          = 4 inch

Answer:

We need 4 inches

Step-by-step explanation:

We can use ratios to solve

1 in             x inches

----------  = -------------

2 ft             8 ft

Using cross products

1  * 8 = 2 x

Divide each side by 2

8 /2 = 2x/2

4 = x

We need 4 inches

Answer:

Step-by-step explanation:

16y = 80

You want to get y by itself so you divide 80 by 16

y = 80/16

y = 5

Hope I helped

The solution to the equation 16y = 80 is y = 5.

To solve the equation 16y = 80 for the variable y, you can follow these steps:

Step 1: Divide both sides of the equation by 16 to isolate the variable y:

(16y)/16 = 80/16

y = 5

Therefore, the solution to the equation is y = 5.

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Step-by-step explanation:

1+6k=25

collect like terms

1-25=6k

-24=6k

divide both sides by 6

-4=k

;- k= -4

Answer: A) 87

The median value is the second quartile (Q₂), which is 87.

Answer:

A: 87

Step-by-step explanation:

Sorry for this very late response. But if anyone is not sure if answer A is correct, it is. I can confirm this because I just took the test. I hope I could help! (:

You can do the proportion  

1 inch/ 80 miles =x inch/ 1100 miles

1100=80x

11oo divided by 80 equals 13.75

The trip would be about 13.75 inches on the map

Feel free to brainliest :)

Answer:

13.75 inches

Step-by-step explanation:

To find an estimated distance on the map, we can simply create a proportion.

Let X represent the unknown distance in inches on the map.

1100 miles / 80 miles = X inches / 1 inch

Now let's solve for X.

X inches = (1100 miles / 80 miles) * 1 inch

X inches = 13.75 inches

So the approximate travel distance on the map will be 13.75 inches.

The scale factor of the dilation is 0.78

The centre of dilation is located at (0,0)

The scale factor of a dilation is the ratio of the corresponding component of the final image to the original image.

According to the image given, the scale factor will be the ratio of the radius of the final image to the original image as shown below:

[tex]Scale \ factor = \frac{small \ radius}{large \ radius} \\Scale \ factor = \frac{7}{9}\\ Scale \ factor=0.78[/tex]

Hence the scale factor of the dilation is 0.78

The centre of dilation is located at the origin because the radius is the distance between the centre of the circle and its circumference. We can therefore conclude that the centre of dilation is located at (0,0)

The scale factor of the dilation is [tex]\frac{7}{9}[/tex].

The center of dilation is a point to the right of both circles.

From Analytical Geometry we know that every Circle is defined by its Radius, its form is directly proportional to its radius. Hence, the Scale Factor of the Dilation ([tex]f[/tex]) is the following ratio:

[tex]f = \frac{r_{2}}{r_{1}}[/tex] (1)

Where:

[tex]r_{1}[/tex] - Radius of the original circle.

[tex]r_{2}[/tex] - Radius of the dilated circle.

If we know that [tex]r_{1} = 9[/tex] and [tex]r_{2} = 7[/tex], then the scale factor of the dilation is:

[tex]f = \frac{7}{9}[/tex].

The scale factor of the dilation is [tex]\frac{7}{9}[/tex].

There is a geometrical approach to determine the location of the Center of Dilation. We draw two lines tangent (blue lines) to both circles and we extend to the right of the scene, the point in which both intersects each other is the location of the center of dilation. (representation is included in the image attached below)

In a nutshell, the center of dilation is a point to the right of both circles.

Answer:

[tex]y = \frac{-3}{4}x + 36[/tex]

Step-by-step explanation:

Data provided in the question

Height = 36 inches

Stant of the stairs followed that declines 9 inches for every 12 horizontal inches

Height = x

x =  from top of the stairs

based on the above information

Therefore the change in rate is

[tex]\frac{-9}{12} = \frac{-3}{4}[/tex]

It depicts the line sloping.

Now the function would be determined by the line equation which is as follows

y = mx+c

[tex]m = \frac{-3}{4}[/tex]

where,

c = 36 inches

So, the function is

[tex]y = \frac{-3}{4}x + 36[/tex]

Answer:

Answer is A

Step-by-step explanation:

Answer:

A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.

Step-by-step explanation:

Answer:

A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.

Step-by-step explanation:

Sample response

No they are not the same.

We can plug in x = 0 to get

11-2x = 11-2(0) = 11-0 = 11

2x-11 = 2(0)-11 = 0-11 = -11

We get the results 11 and -11 for the expressions 11-2x and 2x-11 respectively. Since we got different outputs, this is enough to show that the expressions are not the same. They would need to produce the same outputs for any given x value.

On a graph, y = 11-2x and y = 2x-11 are two different lines to show they are not the same expression.

note: if you plug in x = 11/2 = 5.5, then both outputs are the same; otherwise, you'll get different outputs.

Answer:

B = (3.3)

Step-by-step explanation:

Answer:

A. 48

Step-by-step explanation:

There is a diameter of the circle through point O. The bottom right angle is an inscribed and that intersects a diameter, so its measure is 90 deg.

a + 90 + 42 = 180

a + 132 = 180

a = 48

The measure of angle 'a' is 48°.

We need to find the measure of 'a'.

Angles are formed by drawing lines from the ends of the diameter of a circle to its circumference from a right angle.

There is a diameter of the circle through point O. The bottom right angle is inscribed and that intersects a diameter, so its measure is 90°.

Now, a + 90°+ 42° = 180°

⇒a + 132°= 180°

⇒a = 48°

Therefore, the measure of angle 'a' is 48°.

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Answer:

Step-by-step explanation:

The triangle inequality theorem states that the sum of any two sides of a triangle os greater than the third side.

■■■■■■■■■■■■■■■■■■■■■■■■■■

First triangle:

Let a,b and c be the sides of the triangle:

● a = 10

● b = 20

● c = 30

Now let's apply the theorem.

● a+b = 10+20=30

That's equal to the third side (c=30)

●b+c = 50

That's greater than a.

● a+c = 40

That's greater than b.

These aren't the sides of a triangel since the first inequality isn't verified.

■■■■■■■■■■■■■■■■■■■■■■■■■

Second triangle:

● a = 122

● b = 257

● c = 137

Let's apply the theorem.

● a+b = 379

That's greater than c

● a+c = 259

That's greater than b

● b+c = 394

That's greater than a

So 122,257 and 137 can be sides of a triangle.

■■■■■■■■■■■■■■■■■■■■■■■■■■

The third triangle:

● a = 8.6

● b = 12.2

● c = 2.7

Let's apply the theorem:

● a+b = 20.8

That's greater than c

● b+c = 14.9

That's greater than a

● a+c = 11.3

That isn't greater than b

So theses sides aren't the sides of triangle.

■■■■■■■■■■■■■■■■■■■■■■■■■■

● a = 1/2

● b = 1/5

● c = 1/6

Let's apply the theorem.

● a+b = 7/10

That's greater than c

● a+c = 2/3

That's greater than b

● b+c = 11/30

That isn't greater than a

So these can't be the sides of a triangle.

Answer:

$8

Step-by-step explanation:

Firstly, Let us identify the variables in the functions.

The function states that for every n ball, the price is $0.80. Plus the $5.50.

Now that we know what the function stands for, we can substitute 10 into n, and remove the entrance fee of $5.50.

P=0.80n

This gives us $8, which means the price for 10 balls not including the entrance fee is $8.

Answer:

[tex]x = 2.75[/tex]

Step-by-step explanation:

I'm assuming you have an equation

[tex]12x + 7 = 40\\[/tex]

and you want to solve for x.

This is easy. First, subtract 7 from each side of the equation.

[tex]12x+7-7 = 40-7[/tex]

[tex]12x = 33[/tex]

Then divide both sides by 12, to get x alone on the left side.

[tex]\frac{12x}{12} = \frac{33}{12}[/tex]

[tex]x = \frac{33}{12} = 2.75[/tex]

Answer:

1. One Solution

Step-by-step explanation:

y=2x+1

−3y=6x+6

Divide the second equation by -3

−3y/-3=6x/-3+6/-3

y = -2x-2

The slopes are different so we know that the lines are not parallel

The will intersect at a point

There will be one solution