ABCD is a rectangle. Trapezoid AEFB is congruent to
A
trapezoid CFED. G is the midpoint of segment EF.
E
Select all the ways we could describe the rigid transformation that takes AEFBto CFED.

When camera has an angle of depression of 50° to a point on the floor and the other camera has an angle of depression of 60° to the same point calculate the height of the gym, the height of gym is 7.05 m

When the observer is above the object they are looking at, an angle of depression is created. An angle below the horizontal line drawn with the level of the observer's eye and the line connecting the object with the observer's eye is created when an observer looks at an object that is placed at a distance lower than the observer.

Lets name the points on the triangles as A, B ,C

m∠ABC = 180° - 60° + 50°

             = 70°

Now, the sine theorem defines

[tex]\frac{AB}{sin50\textdegree}[/tex] = [tex]\frac{AC}{sin70\textdegree}[/tex] = [tex]\frac{10}{sin70\textdegree}[/tex]

AB = 8.15 meters

Now using the area of triangle formula

area∠ABC = 1/2 × AB × AC × sin∠BAC = 1/2 × h × AC

⇒ 1/2 × 8.15 × 10 × √3/2 = 1/2 × h × 10

⇒ 8.15 × √3/2 = h

⇒ h = 7.05

Learn more about angle of depression

https://brainly.com/question/17193804

#SPJ9

Answer:

120

Step-by-step explanation:

200 - 80 = 120

so 120 / 1 = 120

Answer:

200-80/1 which means (200-80) divided by 1

200 and 80 is in bracket so we solve it first:

200-80=120

now 120/1= 120

Please mark as brainliest

Multiply both sides by 2:

Add x to both sides:

Subtract 2 from both sides:

Divide both sides by 2:

Answer:

Answer:

If you slice a cone parallel to the base, the cross section is a circle.

Step-by-step explanation:

ik this isn't all but i hope this helps

Answer:

$60.00

Step-by-step explanation:

15 is 25% of a number. 25 times 4 equals 100. so 15 times four is 60, making 60 the 100%

Work Shown:

x = original price

75% of x = 0.75x = amount saved

x - 0.75x = 0.25x = final price after discount = 15

0.25x = 15

x = 15/0.25

x = 60

Answer:

Step-by-step explanation:

Answer:

In the solution below

Step-by-step explanation:

According to the question.

$257.62 + $18.19 × 2 + $11.18 = $305.18

$400 - $305.18 = $154.82

$154.82 ÷ $77.41 = 2

So she can buy 2 new biking outfits

I hope this helps you

:)

The most appropriate choice for profit and loss will be given by

Uncle Ben will feed his cows 2 pounds of grain supplement.

What is profit and loss?

If the selling price is more than the cost price, then the difference between the selling price and the cost price will give the profit.

If the selling price is less than the cost price, then the difference between the selling price and the cost price will give the loss.

Here,

For 1 pound

Cost price of grain supplement  = [tex]0.70 \times 1[/tex]

                                                      = $[tex]$0.70[/tex]

Selling price of milk = [tex]0.20 \times 5[/tex]

                                 = $[tex]1[/tex]

Profit = $([tex]1 - 0.70[/tex])

         = $0.30

For 2 pounds

Cost price of grain supplement  = [tex]0.70 \times 2[/tex]

                                                      = $[tex]$1.40[/tex]

Selling price of milk = [tex]0.20 \times 9[/tex]

                                 = $[tex]1.80[/tex]

Profit = $([tex]1.80 - 1.40[/tex])

         = $0.40

For 3 pounds

Cost price of grain supplement  = [tex]0.70 \times 3[/tex]

                                                      = $[tex]$2.10[/tex]

Selling price of milk = [tex]0.20 \times 12.3[/tex]

                                 = $2.46

Profit = $([tex]2.46 - 2.10[/tex])

         = $0.36

For 4 pounds

Cost price of grain supplement  = [tex]0.70 \times 4[/tex]

                                                      = $[tex]$2.80[/tex]

Selling price of milk = [tex]0.20 \times 15.5[/tex]

                                 = $3.1

Profit = $([tex]3.1 - 2.80[/tex])

         = $0.30

For 5 pounds

Cost price of grain supplement  = [tex]0.70 \times 5[/tex]

                                                      = $[tex]$3.50[/tex]

Selling price of milk = [tex]0.20 \times 18[/tex]

                                 = $3.60

Profit = $([tex]3.60 - 3.50[/tex])

         = $0.10

For 6 pounds

Cost price of grain supplement  = [tex]0.70 \times 6[/tex]

                                                      = $[tex]$4.20[/tex]

Selling price of milk = [tex]0.20 \times 20[/tex]

                                 = $4

Loss = $([tex]4.20 - 4[/tex])

         = $0.20

For 7 pounds

Cost price of grain supplement  = [tex]0.70 \times 7[/tex]

                                                      = $[tex]4.90[/tex]

Selling price of milk = [tex]0.20 \times 21.5[/tex]

                                 = $[tex]4.30[/tex]

Loss = $([tex]4.90 - 4.30[/tex])

         = $0.60

For 8 pound

Cost price of grain supplement  = [tex]0.70 \times 8[/tex]

                                                      = $[tex]$5.60[/tex]

Selling price of milk = [tex]0.20 \times 22.5[/tex]

                                 = $[tex]4.50[/tex]

Loss = $([tex]5.60 - 4.50[/tex])

         = $1.10

For 9 pounds

Cost price of grain supplement  = [tex]0.70 * 9[/tex]

                                                      = $[tex]6.30[/tex]

Selling price of milk = [tex]0.20 * 23[/tex]

                                 = $[tex]4.60[/tex]

Loss = $([tex]6.30 - 4.60[/tex])

         = $1.70

Since profit from 2 pounds of grain supplement is the most, Uncle Ben will feed his cows 2 pounds of grain supplement.

To learn more about profit and loss, refer to the link:

https://brainly.com/question/19104371

#SPJ9

Complete Question

Farmer Ben knows that feeding a grain supplement to his cows will produce more milkaccording to the following schedule:

ignoring all other issues, how many pounds of grain supplement should farmer ben feed his cows if the price of milk is $0.20 per pound and the price of grain supplement is $0.70 per pound?

The table has been attached here

Answer: the answer is 9/2

The exact area of the shaded region is: (2 - √6)/8 cm².

The area of a triangle = 1/2(base)(height).

The area of the shaded region = area of triangle ABD - area of triangle ACD.

Area of triangle ABD:

Base of triangle ABD = AD = √2/2

Height of triangle ABD = BD = √2/2

Area of triangle ABD = 1/2(√2/2)(√2/2)

Area of triangle ABD = 2/8 = 1/4 cm²

Area of triangle ACD:

Base of triangle ACD = AD = √2/2

Height of triangle ACD = CD = √3/2

Area of triangle ACD = 1/2(√2/2)(√3/2)

Area of triangle ACD = √6/8 cm²

Area of the shaded region = 1/4 - √6/8

Area of the shaded region = (2 - √6)/8 cm²

Learn more about the area of a shaded region on:

https://brainly.com/question/27411593

#SPJ1

The likelihood that someone has received a vaccination equals one minus the likelihood that no one has. The likelihood that a randomly chosen individual in a large population IS NOT immunized = 1 - 0.54 = 0.46.

The likelihood that the three randomly chosen individuals are not all immunized is 0.463, hence the likelihood that at least one of them has been immunized is 1 - 0.463.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

To learn more about probability from given link

https://brainly.com/question/24756209

#SPJ10

Answer: No both equations dont have x

Step-by-step explanation:

Answer:

I say b

Step-by-step explanation:

The correct value in the blank of the statement "1/9 times blank equals 4/27" is; 4/3

We are given the expression that 1/9 times blank equals 4/27.

Let the missing term be identified as y. Thus, we have;

1/9 * y = 4/27

In Mathematics, the reciprocal of any quantity is, one divided by that quantity. For any number 'b', the reciprocal will be 1/b. If the given number is multiplied by its reciprocal, we get the value 1.

To get the missing value y, we will use multiplication property of equality to multiply both sides by 9 to get;

1/9 * y * 9 = 4/27 * 9

y = 4/27 * 9

y = 4/3

Read more about fractions at; https://brainly.com/question/1622425

#SPJ1

answer:

the solution is: x = 15

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"m" proportional to }r^2}{ {\Large \begin{array}{llll} m=kr^2 \end{array}}}\qquad \textit{we also know that} \begin{cases} r=2\\ m=14 \end{cases}\implies 14=k(2)^2 \\\\\\ \cfrac{14}{2^2}=k\implies \cfrac{7}{2}=k\hspace{15em}\boxed{m=\cfrac{7}{2}r^2} \\\\\\ \textit{when r=12, what is "m"?}\qquad m=\cfrac{7}{2}(12)^2\implies m=504[/tex]

Divide both sides by 4. Since 4 is >0, the direction of inequality remains the same.

[tex]\boldsymbol{\sf{p-9 < \dfrac{-12}{4} }}[/tex]

Divide −12 by 4 to get −3.

Add 9 to both sides.

Add −3 and 9 to get 6.

When calculating the modulus of a negative number, the minus sign is disregarded. The expression of |9-5| - |5-9| exists 0.

A modulus function is a function that determines a number or variable's absolute value. It generates the size of the variable count. A function with absolute values is another name for it. No matter what input was provided to this function, the outcome is always favorable.

When calculating the modulus of a negative number, the minus sign is disregarded. The modulus of a number is denoted by writing vertical lines around the number.

Let the expression be |9-5| - |5-9|

Subtracting the numbers, we get

|9-5| - |5-9| = |4| - |-4|

simplifying the above expression, we get

= 4 - 4

= 0

Therefore, the correct answer is option D. 0.

The complete question is:

Simplify |9-5| - |5-9|

A. -8

B. -6

C. -4

D. 0

E. 8

To learn more about modulus function refer to:

https://brainly.com/question/25971887

#SPJ13

Solution of the given function g(x) = "-x^2" "-7" when x=-3  = 2.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

A function called g is defined by the notation y=g(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The output value, also known as the dependent variable, is denoted by the letter y, or g(x).

Given function

g(x) = -x² -7When x = -3

Whenever you're given a function, you simply plug in the x  value you're given and then calculate the result.

g(-3) =(-3²) - 7

g(-3) =(9) - 7

g(-3) =9 - 7

g(-3) =2

Hence, When x=-3 = 2, the given function g(x) has a solution of "-x2" "-7."

To learn more about Function

https://brainly.com/question/25638609

#SPJ1

Answer:

The answer is "If it does not have four legs, then an animal is not a fish

To form the contrapositive, switch the hypothesis and the conclusion and negate both.

The hypothesis is the "if" part and the conclusion is the "then" part.

Answer:

If it is not a fish, then it has four legs.

Step-by-step explanation:

If A  then  B

the contrapositive of this is

If Not B then not A.

Previously available balance = $320.39

Deposit made by Mrs. Hammonds = $100

Cheques used for withdrawal,

$97.54

$48.27

The new balance = $320.39 + $100 - $97.54 - $48.27

= 420.39 - 145.81

= 274.58

So, the new balance in her account is $274.58.

To learn more about Withdrawal, refer to:

https://brainly.com/question/14289883

#SPJ13

The tax that is paid on the item purchased to the nearest cent is $0.13,

Tax is a form of transfer of wealth from individuals or businesses to the government. Taxes increase the cost of a good or service. When tax is levied on a good or service, the tax is paid when the good or service is paid for. It is added to the purchase price of the good or service.

In order to determine the tax paid, multiply the cost of the item by the tax rate. Multiplication is the process that is used to determine the product of a number. The sign that denotes multiplication is ×.

Tax paid = cost of the item x tax rate

$3 x 4.4%

$3 x 0.044 = $0.13

To learn more about taxes, please check: https://brainly.com/question/25311567

#SPJ1

Answer:

The other number is 120.

Step-by-step explanation:

30×360 =90xx

x=(30×360)/90

x=120

(HCFXLCM= Product if the two

numbers)

The equation of the parallel line to y = 2x - 1, that passes through (-3, 1) is: y = 2x + 7.

Two lines that are parallel to each other would always have the same slope (m). In the slope-intercept form of the equation that represents a line, y = mx + b, the slope of the line is represented as "m", while the y-intercept is represented as b.

Given:

A point (-3, 1)

Equation, y = 2x - 1. The slope (m) = 2. Since parallel lines have the same slope (m), therefore, the line that passes through (-3, 1) also have a slope (m) = 2.

Substitute (x, y) = (-3, 1) and m = 2 into y = mx + b:

1 = 2(-3) + b

1 = -6 + b

1 + 6 = b

b = 7

To write the equation of the parallel line to y = 2x - 1, substitute m = 2 and b = 7 into y = mx + b:

y = 2x + 7.

Learn more about equation of a line on:

https://brainly.com/question/13763238

#SPJ1

Answer: 3/4 im pretty sure

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation:

When Violetta goes first, their are 4/24 possibilities. Same for Nathan.

The rest are just both 2/24 possibilities. Therefore, the answer is 1/2.

Answer:5.3ft

Step-by-step explanation: 1. find the sum of the rest of the sides

14.9+19.9+6.5+39.8+6.5+14.9+14.9=117.4

2. subtract 117.4 from 122.7 to find the missing side length

122.7-117.4=5.3