What is the perimeter of an equilateral triangle that has a height of 24m?
A) 36
B) 48
C) 48 square root 3
D) 48 Square root 2?

Answer:-42

Step-by-step explanation:

-12*7/2

Is also represented like this

-12/1*7/2 proper fraction

Multiple -12*7 and divide by 2

-84/2= -42

Answer:

Using BIDMAS the answer equates to -42.

Step-by-step explanation:

Answer: [tex]f^{-1}(4)=\frac{8}{5}[/tex]

Step-by-step explanation:

1. You need to find the Inverse function [tex]f^{-1}(x)[/tex]:

- Given the function f(x):

[tex]f(x) = 3x - \frac{4}{ 5}[/tex]

- Rewrite it with [tex]f(x)=y[/tex]:

[tex]y= 3x - \frac{4}{ 5}[/tex]

- Now you must solve for "x":

[tex]y+\frac{4}{ 5} = 3x\\\\(y+\frac{4}{ 5})(3)=x\\\\x=\frac{y}{3}+\frac{4}{15}[/tex]

- Now you must exchange the variables:

[tex]y=\frac{x}{3}+\frac{4}{15}[/tex]

- Then:

[tex]f^{-1}(x)=\frac{x}{3}+\frac{4}{15}[/tex]

2. Substitute [tex]x=4[/tex] into the Inverse function and then evaluate:

[tex]f^{-1}(4)=\frac{(4)}{3}+\frac{4}{15}\\\\f^{-1}(4)=\frac{8}{5}[/tex]

Answer:

(- 2, - 3 )

Step-by-step explanation:

Given the endpoints of a segment (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[0.5(x₁ + x₂), 0.5(y₁ + y₂ ) ]

Here (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (x, y) and the midpoint = (0, 0), thus

0.5(2 + x) = 0 , that is

2 + x = 0 ( subtract 2 from both sides )

x = - 2

0.5(3 + y) = 0, that is

3 + y = 0 ( subtract 3 from both sides )

y = - 3

Thus (x, y) = (- 2, - 3 )

Answer:

The correct answer is A. x = 2 +/- √42

Step-by-step explanation:

Let's solve for x the quadratic equation, this way:

x² - 4x - 9 = 29

x² - 4x - 38 = 0

Using the quadratic formula, we have:

x = [- (-4) +/- √ -4² - 4 * -38]/2

x = 4 +/- √ 16 + 152/2

x = 4 +/- √ 168/2

x = 4 +/- √ 4 * 42/2

x = 4 +/- 2 √42/2

x = 2 +/- √42

The correct answer is A. x = 2 +/- √42

Answer:

the answer is A on edg2020

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Answer:

(3, 5 )

Step-by-step explanation:

when x = 3, that is x ≥ 3, thus

y = 2x - 1 = 2(3) - 1 = 6 - 1 = 5 ⇒ (3, 5 ) is the point on the graph

Answer:

85%

Step-by-step explanation:

Just use a calculator to divide 17 by 20. That gives you .85. To convert into a percent, multiply by 100, giving you an 85%.

A trick I use to convert decimals into percents is to jut move the decimal point 2 spaces to the right.

You answered 85% of the test questions correctly.

To find the percentage of questions answered correctly, we can use the formula:

Percentage = (Number of questions answered correctly / Total number of questions) × 100

In this case, you answered 17 out of 20 questions correctly. Plugging these values into the formula:

Percentage = (17 / 20) × 100

Percentage = 0.85 × 100

Percentage = 85

Therefore, you answered 85% of the test questions correctly.

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Answer:

The number of balloons Raj could buy is 8.

Step-by-step explanation:

Given:

Raj has a $25 budget to spend on decorations for a party.

He has already spent $18.60.

He wants to get some helium balloons that’s cost $0.80 each.

Now, to write and solve an inequality to show the number of balloons Raj could buy.

Let the number of balloons be [tex]x.[/tex]

Cost of each balloons = $0.80.

So, the total cost of balloons = [tex]0.80x.[/tex]

He already spent = $18.60.

Total budget Raj has = $25.

Now, to solve an inequality to show the number of balloons:

[tex]0.80x+18.60\leq 25[/tex]

Subtracting both sides by 18.60 we get:

[tex]0.80x\leq 6.40[/tex]

Dividing both sides by 0.80 we get:

[tex]x\leq 8.[/tex]

Therefore, the number of balloons Raj could buy is 8.

Answer:

There would be 11 books in each stack, to have the same number.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Books in stack 1 = 15

Books in stack 2 = 9

Books in stack 3 = 9

2.  If the books were rearranged so that the stack had the same number of books how many books would be even?​

Total books = Books in stack 1 + Books in stack 2 + Books in stack 3

Total books = 15 + 9 + 9

Total books = 33

Total books/Number of stacks = Number of books per stack to be the same

33/3 = Number of books per stack to be the same

Number of books per stack to be the same = 11

Answer:

x≥1500

Step-by-step explanation:

Answer:

sodium chloride

Step-by-step explanation:

sea salt is basically sodium chloride

Answer:

Sodium chloride is the most abundant salt

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

cuz its like 4-1

Answer:

Step-by-step explanation:

The LCM of 5,4,3 is 5×4×3=60

Answer:

n = 2

Explanation:

Simplify both sides of the equation

4n − 2n = 4

4n + −2n = 4

(4n + −2n) = 4 (Combine Like Terms)

2n = 4

2n = 4

Divide both sides by 2

2n / 2 = 4 / 2

n = 2

4n-2n=4

4n-2n= 2n

2n=4

÷2

n=2

Final answer:

To find the final cost of an Apple iPod after a mail-in rebate and the cost of mailing the rebate (envelope and stamp), subtract the rebate amount from the original price and add the mailing costs. The total cost after these calculations is $726.82.

Explanation:

Let's tackle the Apple iPod rebate calculation problem. An Apple iPod sells for $781.29 and has a mail-in rebate for $55.00. To calculate the cost after the rebate, you must also consider the costs of an envelope and a stamp, which are $0.13 and $0.40, respectively. The formula for the final cost after applying the mail-in rebate, including the expenses for an envelope and a stamp, is as follows:

Calculate the rebate price by subtracting the rebate amount from the original price: $781.29 - $55.00 = $726.29.

Add the costs of the envelope and stamp to the price after rebate: $726.29 + $0.13 + $0.40 = $726.82.

The final cost of the iPod after the rebate and additional costs is $726.82.

Answer:

f(1) = - 1.8

f(n) = f(1) x 9ⁿ⁻¹

Step-by-step explanation:

f(1) = - 1.8

f(n) = f(1) x 9ⁿ⁻¹

f(1) = - 1.8 x 9⁰ = -1.8

f(2) = - 1.8 x 9¹

f(3) = - 1.8 x 9²

check:

f(1)=−1.8

f(n)=f(n−1)⋅9

f(2) = f(1) x 9 = -1.8 x 9¹

f(3) = f(2) x 9 = (- 1.8 x 9) x 9 = -1.8 x 9²

Answer: f(n)= -1.8*9^n-1

Step-by-step explanation:

Answer:

x=9(student cost)

y=3(adult cost)

12=4x+8y

60=4x+8y

Answer:

x=9(student cost)

y=3(adult cost)

12=4x+8y

60=4x+8y

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

You are doing:

(2/5) * 25

You can do it two ways, first divide, then multiply, OR multiply, then divide.

In this case, I will multiply, then divide:

First, multiply:

(2 * 25)/5 = (50)/5

Next, divide:

50/5 = 10

10 is your answer.

~

Answer:

Step-by-step explanation:

Integers with a product of 567 are ...

  567 = 1·567 = 3·189 = 7·81 = 9·63 = 21·27

The last of these pairs of factors have a difference of 6, so they are the answers.

Jackie's number is 27; Adrian's number is 21.

_____

You could let "a" represent Adrian's number and write the equation ...

  a(a +6) = 567

  a^2 +6a +9 = 576 . . . . . complete the square

  (a +3)^2 = 24^2 . . . . . . . write as squares

  a = -3 +24 = 21 . . . . . . . . take the positive square root; subtract 3

Adrian's number is 21; Jackie's number is 27.

Answer: it has no solution

Step-by-step explanation:

8x - 2y = 1 ..................... equation 1

-4x + y = 3 ...................... equation 2

solving the system of linear equation by substitution method . From equation 2 , make y the subject of the formula.

y = 3 + 4x .......................... equation 3

substitute equation 3 into equation 1 .

8x - 2(3 + 4x ) = 1

8x - 6 - 8x = 1

8x- 8x - 6 = 1

-6 = 1

this means that the equation has no solution

Final answer:

5 minus 0.671 equals 4.329.

Explanation:

The student is asking for the number that, when subtracted from 5, equals 4.329. To find this number, you subtract 4.329 from 5:

5 - x = 4.329

Solving for x, you subtract 4.329 from 5:

x = 5 - 4.329

x = 0.671

Therefore, 5 minus 0.671 equals 4.329. When dealing with subtraction, it's important to round the result correctly, just as with other operations such as addition, multiplication, and division.

Answer:

B) -6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-(-4))/(-1-0)

m=(2+4)/(-1)

m=6/-1

m=-6

the answer is B, -6, because if you graph it the line goes down and it rises up 6

Answer:

The true statement is Line h has points on planes R, P, and T

Step-by-step explanation:

The rest of the question is the attached figure

According to the graph, we will check which option is true.

a. Line h intersects line f at two points, A and B   (Wrong)

Because: h intersects line f at B only.

b. Line h is the intersection of planes R and T      (Wrong)

Because: g is the intersection of planes R and T

c. Line h intersects plane P at point C                   (Wrong)

Because: h intersects plane P at point B

d. Line h has points on planes R, P, and T             (True)        

Because h has the point B on the plane P, h has the point A on the plane T

and the points of h on the plane R

Answer:

Line h has points on planes R, P, and T

Step-by-step explanation:

did the test

Sally gave 30 shells to Jason

Solution:

Given that, Sally found 58 seashells on the beach, she gave Jason some of her seashells

She has 28 left

To find: Number of sea shells she gave to Jason

From given,

Total number of shells she found = 58

Remaining shells = 28

Therefore,

Number of sea shells she gave to Jason = Total number of shells she found - Remaining shells

Number of sea shells she gave to Jason = 58 - 28 = 30

Thus Sally gave 30 shells to Jason

Answer:

20

Explanation:

PEMDAS

Answer:

58 chickens, 42 goats

Step-by-step explanation:

there are a total of 100 chickens and goats

c + g = 100....c = 100 - g

there are 284 feet....chickens have 2 feet and goats have 4 feet

2c + 4g = 284

2(100 - g) + 4g = 284

200 - 2g + 4g = 284

-2g + 4g = 284 - 200

2g = 84

g = 84/2

g = 42 <===== goats

c + g = 100

c + 42 = 100

c = 100 - 42

c = 58 <==== chickens

Final answer:

To solve the problem, set up equations based on the number of feet each animal has, then use substitution to find there are 58 chickens and 42 goats in the barnyard.

Explanation:

How to Solve Problems Involving Numbers of Chickens and Goats

Old McDonald has 100 chickens and goats in the barnyard, and altogether, there are 284 feet. To find out how many chickens and how many goats are there, we can set up a system of equations based on the information given. A chicken has 2 feet and a goat has 4 feet. Let's assign the variable C to represent the number of chickens and G to represent the number of goats.

We are given two pieces of information which we will translate into two equations:

Equation 1: C + G = 100 (since there are 100 chickens and goats in total)

Equation 2: 2C + 4G = 284 (since chickens have 2 feet and goats have 4 feet)

To solve for C and G, we can multiply Equation 1 by 2 to align it with the coefficients of Equation 2:

2C + 2G = 200

Now, subtract this new equation from Equation 2 to solve for G:

(2C + 4G) - (2C + 2G) = 284 - 200

2G = 84

G = 42

With G known, we can substitute it back into Equation 1 to find C:

C + 42 = 100

C = 58

Therefore, there are 58 chickens and 42 goats in the barnyard.

Answer:

the slope of the ski run is 9

Answer:

Job B

Step-by-step explanation:

Job A:

Job A pays $28.59 per hour.

Lauren expects to work 2,000 hours during the year, so Lauren can expect to be paid

[tex]\$28.59\times 2,000=\$57,180[/tex]

Job B:

Job B pays $25.71 per hour.

Lauren expects to work 2,000 hours during the year, so Lauren can expect to be paid

[tex]\$25.71\times 2,000=\$51,420[/tex]

Health insurance costs $6,650. Add health insurance to job B payment:

[tex]\$51,420+\$6,650=\$58,070[/tex]

Since [tex]\$58,070>\$57,180,[/tex] Lauren should take job B

Answer:

The number is 50.

Step-by-step explanation:

0.6x=30

x=30/0.6

x=50

Answer:

a. 53

Step-by-step explanation:

The side with length 15 is opposite the right angle, so it is the hypotenuse of the right triangle.

For angle x, the side measuring 12 is the opposite leg.

Our 3 items of interest are: angle, opposite leg, hypotenuse.

The trig ratio that relates the opposite leg to the hypotenuse is the sine ratio.

sin x = opp/hyp

sin x = 12/15

sin x = 0.8

Now we take the inverse sine of 0.8 to find the measure of the angle.

x = sin^(-1) 0.8 = 53 deg