Cedar Point amusement park has some of the tallest roller coasters in the United States. The Mantis is 165 feet shorter than the Millennium Force.

Write and solve an equation that can be used to find the height x of the Mantis.

Answer:

52 cm

Step-by-step explanation:

Use the pythagorean theorem to solve for missing sides in a right triangle.

20²+48²= missing side

20²+48²=2704

Take the square root of 2704 to get the missing side.

[tex] \sqrt{2704 } = 52[/tex]

Answer :

⠀

Explanation :

⠀

Solution :

We'll solve this using the Pythagorean Theorem.

where,

⠀

We know that,

[tex]{\longrightarrow \bf \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} } \\ \\ [/tex]

Now, we will substitute the given values in the formula :

[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = (20) {}^{2} +( 48) {}^{2} } \\ \\ [/tex]

We know that, (20)² = 400 and (48)² = 2304. So,

[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = 400 + 2304 } \\ \\ [/tex]

Now, adding 400 and 2304 we get :

[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = 2704 } \\ \\ [/tex]

Now, we'll take the square root of both sides to remove the square from AC :

[tex]{\longrightarrow \sf \qquad \sqrt{ (AC) {}^{2}} = \sqrt{2704} } \\ \\ [/tex]

When we take the square root of (AC)² , it becomes AC,

[tex]{\longrightarrow \sf \qquad AC = \sqrt{2704} } \\ \\ [/tex]

We know that, square root of 2704 is 52 .

[tex]{\longrightarrow \sf{\pmb{ \qquad AC = 52 }}} \\ \\ [/tex]

So,

Answer:

17. -2.5

18. 3

19. 0

20. -1

21. 2.33

22. undefined

The Slope of line:

1. -5/2

2. 3

3. 0

4. -1

5. 7/3

6. ∞

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

1. Slope of line

= (1-11)/ (-2 +6)

= -10 / 4

= -5/2

2. Slope of line

= (-2+ 5)/ (-3+ 4)

= 3 / 1

= 3

3. slope of line

= (6-6)/ (3+1)

= 0

4. Slope of line

= (7-8)/ (2-1)

= -1

5. Slope of line

= (-1+8)/ (0+3)

= 7/3

6. Slope of line

= (3-5)/ (-2+ 2)

= ∞

Learn more about Slope here:

https://brainly.com/question/19131126

#SPJ7

Answer:

18

Step-by-step explanation:

Given expression:

[tex]2 \times (6 \div 2 + 8) - 4[/tex]

Step-1: Simplify the expression in the parenthesis using PEMDAS

Expression obtained                        Operation of PEMDAS

 [tex]\implies 2 \times (6 \div 2 + 8) - 4[/tex]                                  

 [tex]\implies 2 \times (3 + 8) - 4[/tex]                                  D - Division

 [tex]\implies 2 \times (11) - 4[/tex]                                      A - Addition

 [tex]\implies2 \times 11 - 4[/tex]

Step-2: Simplify the expression obtained from step-1

Expression obtained                        Operation of PEMDAS

 [tex]\implies 2 \times 11 - 4[/tex]

 [tex]\implies 22 - 4[/tex]                                          M - Multiplication

 [tex]\implies 18[/tex]                                                  S - Subtraction

Answer:

what is the length of bd?

my answer is:

Letter B.10 units in my opinion

i hope it helps

Answer: You earn more per pound recycling copper than aluminum.

Step-by-step explanation:

Answer:

[tex]\boxed{\sf{20x-45}}[/tex]

Step-by-step explanation:

To solve this problem, all you have to do is isolate the x from one side of the equation.

First, you have to combine like terms.

→ -5x+25x-15-30

Then, you subtract the numbers from left to right.

→ -15-30=-45

Rewrite the problem down.

→ -5x+25x-45

By similar, add to elements.

→ -5x+25x=20x

Rewrite the problem down.

⇒ 20x-45

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

20x - 45

Step-by-step explanation:

Start by grouping like terms ( -5x and 25x) , ( -15 and -30):

= -5x + 25x - 15 - 30

Subtract the numbers: -15 -30 = -45

= -5x + 25x - 45

Combine like terms ( 5x and 25x):

= 20x - 45

For the study conducted by the researchers,

From the question, we have the following highlights:

When a study used a control group and an experimental group, then such study is a matched-pairs design.

The appropriate t-interval for inference for a matched-pairs design is the  t-interval for a mean difference

Read more about matched-pairs design at:

https://brainly.com/question/16448112

Plug in the values of x and solve for y:-

y=5+4x

y=5+4(4)

y=5+16

y=21

________________________________

y=5+4x

y=5+5(5)

y=5+20

y=25

_________________________________

y=5+4x

y=5+4(8)

y=5+32

y=37

___________________________________

y=5+4x

y=5+4(10)

y=5+40

y=45

__________________________________

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

see explanation

Step-by-step explanation:

substitute the values of x from the table into the rule and evaluate for y

x = 4 → y = 5 + 4(4) = 5 + 16 = 21

x = 5 → y = 5 + 4(5) = 5 + 20 = 25

x = 8 → y = 5 + 4(8) = 5 + 32 = 37

x = 10 → y = 5 + 4(10) = 5 + 40 = 45

then

     x   y

    --------

    4   21

    5   27

    8   37

   10   45

Circumference = pi x diameter

Given circumference: 8pi

Diameter = 8

Correct answer: D) 8 cm

Hope this helps!

The answer is 58.

First, we need to find "x", being the number.

----------------------------------------------------------------------------------------------------------

Therefore, the answer is 58.

X=58

If this helped...

~NatLikesAnime~

#LearningWithBrainly

Answer:

It depends how much percent the test is worth on your grade, and how much test grades you have. It would definitely raise to at least an 83 though.

Let's check

Total

Grade

Answer: 40.45 or B

Step-by-step explanation:

63 x 0.6(100%-40%) = 37.8

37.8 x 1.07 = 40.446

40.446 rounded is

40.45

2600 pens.

the remaining pens Ali have after giving 1547 away.

2600 - 1547

= 1053

so, Ali has 1053 pens with him.

Ali has 2600 pens.

the amount of pens Ali has left after he gave away 1547 pens.

subtract 2600 from 1547.

[tex]2600 - 1547[/tex]

[tex] = 1053 \: pens[/tex]

hence, Ali has 1053 pens left with him after giving 1547 pens away.

Answer:

a. $7.30

Step-by-step explanation:

2.35 + 1.85 + 3.10 = 7.30

The feasible region which is shown is the graph of is of the solution of  inequalities y<4,x>=0,x<4 and y>=1. which is option C.

An inequality is like an equation but is expressed in greater than ,less than, greater than or equal to, less than or equal to signs. It is equated to find the range of variables.

The given graph has three lines showing different inequality.

One which is parallel to x axis and present at y=4 is doted and because the region from this line is towards origin so the sign between y and 4 is of < sign and we don't use equal to sign as it is doted. The inequality will be y<4

Other line is also parallel to x axis at y=1 but it is not doted and the region shaded is away from the line and origin so we use > than sign and equal to sign. The inequality will be y>-1.

The solution lies in first quadrant so x>=0.

One line is parallel to y-axis at x=4 and because the solution is towards origin so we will use <=0 sign as it is not dotted also.

Hence the inequalities are y<4,x>=0<x<4, y>1.

Learn more about inequality at https://brainly.com/question/11613554

#SPJ2

Answer:

B.Yes,the adjacent sides are perpendicular,and the opposite sides are parallel

Answer:

B. Yes, the opposite sides are perpedicular, and the opposite sides are parallel

Step-by-step explanation:

This is because for a rectangle to be a rectangle, it has to have four sides whose opposite sides are equal (so parallel) and adjacent sides meets at 90° (so perpendicular), both of which this shape is shown to be.

Hope this helps. If you have any further questions, let me know!

- profparis

Answer:

Based on the given conditions, formulate:: 13%×20000×(1−15%)

Calculate the sum or difference: 0.13×20000×0.85

Calculate the product or quotient: 2210

Answer:

81 square inches. square have equal length for all sides area for square is any side times another side so 9x9=81

Answer:

0.008111533587 o 32/3945​

Step-by-step explanation:

Answer:

can you re word this i dont understand

Answer:

what was the importance of the meetings of the second continental Congress quizlet answers

Answer:

Unfortunately I was only able to solve the second question

Step-by-step explanation:

So sorry if I'm wrong but this is what I got:

Volume of a cylinder

V=πr^2h

V=π(4^2)(19)

V=955.04

Lateral S.A.

S.A.=2πrh

S.A.=2π(4)(19)

S.A.=477.52

Total S.A.

S.A.=2πrh+2πr^2

S.A.=2π(4)(19)+2π(4^2)

S.A.=578.05

Answer:

Step-by-step explanation:

The megaliter is 10,000 times larger than a hectoliter

An equation is an expression that shows the relationship between two or more numbers and variables.

1 mega liter = 10⁶ Liter

1 hectoliter = 10² Liter.

Hence, a megaliter is 10,000 (10⁶/10²) times larger than a hectoliter

Find out more on equation at: https://brainly.com/question/2972832

Step-by-step explanation:

Answer:

10,000

Step-by-step explanation:

Got it right on the assignment.

Answer:

A

Step-by-step explanation:

You should always multiply before adding or subtracting. By saying "a product of 8 and 3," it means we multiplied them together first.

You should then add and subtract in the order in which they appear. Saying "five more" before "minus 2" means we did it in the right order.

Answer:

10 passengers in every car

One left he choose the car which he want

explanation:

MAY IT HELP U

Answer:

Since the answer is a decimal we have to state that two cars had 11 passangers while one car had 10 passangers.

Step-by-step explanation:

Step 1:  Determine the unit rate

Passangers per car

Passangers / car

(31 passangers) / (3 cars)

10.333 passangers / car

Answer: Since the answer is a decimal we have to state that two cars had 11 passangers while one car had 10 passangers.

Answer:

x = 0.8

Step-by-step explanation:

For this problem we will be using trigonometry :