the slope of the line that contains (2,-10) and (-4,2).

Answer:

Angle 2

Step-by-step explanation:

They are 90 degrees when added together

Answer:

<2

Step-by-step explanation:

Complementary angles add to 90 degrees ( form right angles)

<1 and <2 add to 90 degrees so they are complementary angles

This question is incomplete because it lacks the attached diagram.

Find attached to this answer the appropriate diagram

Answer:

500 square centimeters

Step-by-step explanation:

From the question above, we are told that the top and bottom of the triangular prism is open.

Hence, the area of the piece of the cardboard is = Lateral Surface Area of the triangular prism

The formula for Lateral Surface Area of a Triangular Prism = Perimeter of the Triangular prism × Height of the Triangular prism.

Perimeter of the Triangular prism = Side a + Side b + Side c

Where Side a = 9cm

Side b = 9cm

Side c = 7 cm

Perimeter of the Triangular prism = 9cm + 9cm + 7cm

= 25cm

Height of the Triangular prism = 20cm

The Lateral Surface Area of the Triangular prism = 25cm × 20cm

= 500cm² or 500 square centimeters.

Since we are told that Lateral Surface Area = Area of the cardboard,

The Area of the cardboard = 500 cm² or 500 square centimeters.

Answer:

4 Hz

Step-by-step explanation:

Formula: frequency = velocity/wavelength

f = 80/20

f = 4

Answer:

C

Step-by-step explanation:

6x^2 + 2x - 8

Multiply the (6) to the -(8) to get x^2 by itself.

x^2 + 2x  - 48

Solve -

(x-6)(x+8) = x^2 + 2x  - 48

However, you must divide out the (6) you multiplied.

(x-6/6) =

(x-1)

(x+8/6) =

(3x + 4)

Therefore, 2(3x + 4)(x-1) is your answer.

EDIT - At the beginning of the equation it is possible to divide (2) out of the equation, this is where the (2) at the end comes from.

Answer:

0.00558

Step-by-step explanation:

Answer:

55.71 ft.

Step-by-step explanation:

hope this helps have a good day!

Answer:

12 feet

Step-by-step explanation:

Perimeter=l+l+w+w

48.8=12.4+12.4+2w

48.8=24.8+2w

2w=24, w=12 feet

Answer:

(x-16)(x+3)

Step-by-step explanation:

Answer:

(x-3)^2 = 4

Step-by-step explanation:

2 (x-3)^2 + 6 = 14

Subtract 6 from each side

2 (x-3)^2  = 8

Divide each side by 2

2/2 (x-3)^2 + 6 = 8/2

(x-3)^2 = 4

Answer:

The amount of frozen fruit used to make smoothies is equal to the total number of frozen fruits minus the remainder of fruits after making smoothies.

Step-by-step explanation:

Let

Total number of frozen fruits = F

Let the amount of frozen fruits used for making smoothies = S

The remaining frozen fruits = R

Then

F - S = R

To get the amount of frozen fruits used to make smoothies, we make S the subject of the formula.

-S = R - F

S = F - R

That is, the amount of frozen fruit used to make smoothies is equal to the total number of frozen fruits minus the remainder of fruits after making smoothies.

Answer:

76.275

Step-by-step explanation:

First - the entire circles area is 78.54. [tex]\pi r^{2}[/tex] with r being 5

6 triangles of that size could fit in that circle.

A=3[tex]\sqrt{3}[/tex]/(2) * a2

The area of that would equal 64.95

78.54-64.95 = 13.59

then divide that number by 6

which is 2.265.

Take that number from the original 78.54

78.54-2.265 = 76.275

Answer:

12.5 cm

Step-by-step explanation:

divide 125 by 10 to get 12.5

Answer:

12.5 cm

Step-by-step explanation:

10 mm=1 cm

so 125 mm=125:10 cm=12.5 cm

Answer:

x = 24

Step-by-step explanation:

x/4+9=15

Subtract 9 from each side

x/4+9-9=15-9

x/4 = 6

Multiply each side by 4

x/4*4 = 6*4

x = 24

Answer:

[tex]x = 24[/tex]

Step-by-step explanation:

[tex] \frac{x}{4} + 9 = 15 \\ \\ \frac{x}{4} = 15 - 9 \\ \frac{x}{4} = 6 \\ 4 \times \frac{x}{4} = 6 \times 4 \\ x = 24[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

where is the picture so i can help you

Answer:

C. CD=ST

Step-by-step explanation:

The conclusion we can draw from the given diagram is Angle AEB = Angle QUR. The correct option is A. Angle AEB = Angle QUR

From the question, we are to deduce which of the given options is correct

From the given information, the circles are congruent

Congruent circles have the same or equal radii

As indicated in the diagram,

Arc AB = Arc QR

Since, the radii of the two circles are equal and the arcs (arc AB and arc QR) are as well equal, their central angles must be equal

∴ Angle AEB = Angle QUR

Hence, the conclusion we can draw from the given diagram is Angle AEB = Angle QUR. The correct option is A. Angle AEB = Angle QUR

Learn more on congruent circles here: https://brainly.com/question/12044225

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Answer:

x=4

Step-by-step explanation:

4(3x+5)=6(x+8)-x

Distribute

12x +20 = 6x +48 -x

Combine like terms

12x+20 = 5x+48

Subtract 5x from each side

12x-5x +20 = 5x-5x+48

7x +20 = 48

Subtract 20 from each side

7x+20-20 = 48-20

7x = 28

Divide each side by 7

7x/7 = 28/7

x = 4

Answer:

57.62% probability that the proportion of people who will order coffee with their meal is within 2% of the population mean.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, we have that [tex]\mu = p, s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

[tex]p = 0.9, n = 144[/tex]

So

[tex]\mu = 0.9, s = \sqrt{\frac{0.9*0.1}{144}} = 0.025[/tex]

What is the probability that the proportion of people who will order coffee with their meal is within 2% of the population mean?

This is the pvalue of Z when X = 0.9 + 0.02 = 0.92 subtracted by the pvalue of Z when X = 0.9 - 0.02 = 0.88. So

X = 0.92

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.92 - 0.9}{0.025}[/tex]

[tex]Z = 0.8[/tex]

[tex]Z = 0.8[/tex] has a pvalue of 0.7881

X = 0.88

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.88 - 0.9}{0.025}[/tex]

[tex]Z = -0.8[/tex]

[tex]Z = -0.8[/tex] has a pvalue of 0.2119

0.7881 - 0.2119 = 0.5762

57.62% probability that the proportion of people who will order coffee with their meal is within 2% of the population mean.

Answer:

6

Step-by-step explanation:

In order to get r by itself, you would want to multiply both sides by 6 to cancel out the denominator. From this, you get r=5.

Hope this helps :)

Answer:

c

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AD}{WZ}[/tex] = [tex]\frac{CD}{YZ}[/tex] , substitute values

[tex]\frac{10}{46}[/tex] = [tex]\frac{5}{YZ}[/tex] ( cross- multiply )

10YZ = 230 ( divide both sides by 10 )

YZ = 23 → c

Answer:

Step-by-step explanation:

7/12

no. of not prime number/ total no. of number

A can of soup is a cylinder. We want to know how much soup can fill the can, which means that we are looking for the volume.

Formula for the volume of a cylinder: V = pi x r^2 x h

V = pi x 6^2 x 10

V = pi x 36 x 10

V = 360pi inches^3

Hope this helps! :)

Answer:

That means that the roller coaster can be 800 feet or taller

which means greater than or equal to

r≥800

Step-by-step explanation:

Answer:

y is greater than or equal to 800 feet

Step-by-step explanation:

It says it is at least 800 feet, so it has to be higher than 800

Answer:

1. Area of rectangular rug is [tex]110 ft^{2}[/tex]

2. Area of triangular room is [tex]330ft^{2}[/tex]

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, rectangle and triangle.

step one

let us start by solving for the area of the rectangular rug

given data

Area A =  ?

Length l =  11 ft

Width w=  10 ft

we know that the area of a rectangle is expressed as

[tex]Area=Length * Width[/tex]

substituting our given data we have

[tex]Area= 11*10\\Area= 110 ft^{2}[/tex]

step two

let us  solve for the area of the triangular room

given data

Area A =  ?

base b =  30 ft

height  h=  22 ft

we know that the area of a triangle is expressed as

[tex]Area= \frac{1}{2} *base* height\\[/tex]

substituting our given data we have

[tex]Area= \frac{1}{2} * 30* 22\\Area=\frac{660}{2} \\Area= 330 ft^{2}[/tex]

Answer:

0.15

Step-by-step explanation:

The total amount of shirts not sold is 225 shirts. The percent of shirts not sold is 225 divided by the total number of t shirts which is 1500. 225/1500 is 0.15. So 0.15 percent of the shirts were not sold.

Hope this helps! (Please mark as brainliest)

Answer:

1397.54248594

Step-by-step explanation:

I am glad you asked!First we need to write square root for our equation.Then we need to do 125[tex]^[/tex]^3.We then need to put all this together.We get square root 125[tex]^[/tex]^3.It equals 1397.54248594.

The solution of expression is,

⇒ 1404.9

We have to give that,

An expression is,

''square root of 125 to the power of 3''

Now, It can be written as,

⇒ ( √125 )³

⇒ [tex]125^{3/2}[/tex]

⇒ (11.2)³

⇒ 11.2 × 11.2 × 11.2

⇒ 1404.9

To learn more about the Number system visit:

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Answer:

Step-by-step explanation:

4-2<x<4+2

2<x<6

x = 3, 4  or 5

i assume u r talking about triangle

Answer:

[tex]log 9! = a-1[/tex]

Step-by-step explanation:

[tex](log10! = a) = (10^{a} = 10!)\\\\\\10! = 10 * 9 * 8 * 7 ...\\\\10^a = 10 * 9 * 8 * 7 ...\\\\10^a = 10 * 9!\\\\\frac{10^a}{10^1} = 9!\\\\10^{a-1} = 9!\\\\log9! = a-1[/tex]

The expression for log 9! in terms of a is [tex]log9! = a - 1[/tex].

Given that,

Based on the above information, the calculation is as follows:

[tex](log10! = a) = (10^{a} = 10!)\\\\10! = 10\times 9\times 8\times 7\\\\10^{a} = = 10\times 9\times 8\times 7\\\\10^{a} = 10\times 9!\\\\\frac{10^{a}}{10^{1}} = 9!\\\\10^{a - 1} = 9!\\\\log9! = a - 1[/tex]

Learn more: brainly.com/question/16911495

Answer:

6.325

Step-by-step explanation:

Answer:

$8,864.73

Step-by-step explanation:

Base amount: $6,000.00

Interest Rate: 5% (yearly)

Effective Annual Rate: 5%

Calculation period: 8 years