Triangle MNO is a right triangle with one leg = 15ft and the other leg = 18ft. Calculate the
length of the hypotenuse to the nearest hundredth of a foot (2 decimal places)

Answers

Answer 1

Answer:

Length of the hypotenuse = 23.43ft

Step-by-step explanation:

First leg = 15ft

Second leg = 18ft

Length of the hypotenuse = ?

In a right angle triangle,

Hypotenuse^2 = opposite^2 + Adjacent^2

Let first leg and second leg of the triangle be opposite and adjacent respectively

Hypotenuse^2 = opposite^2 + Adjacent^2

= 15^2 + 18^2

= 225 + 324

= 549

Hypotenuse^2 = 549

Find the square root of both sides

√Hypotenuse^2 = 549

Hypotenuse = 23.43ft to the nearest of a hundredth

Length of the hypotenuse = 23.43ft


Related Questions

If a car travels 600 meter in 20 seconds how fast is it going

Answers

Answer:

30 meters per second

Step-by-step explanation:

Step 1:

600 ÷ 20 = 30

Answer:

30 meters per second

Hope This Helps :)

Answer:

30 m /s

Step-by-step explanation:

We are looking for the speed

d/t = speed

600m / 20 second

30 m /s

Question /
Alice is three more than twice Emma's age. The sum of their ages is 48. How old is Alice?

Answers

Answer:

Alice is 33 years old.

Step-by-step explanation:

Alice is 3 more than twice Emma's age:

E = Emma

A = Alice

A = 3 + 2E

Sum = 48 years

So,

A + E = 48

(3+ 2E) + E = 48

3 + 2E + E = 48

3 + 3E = 48 (-3 both sides)

3E = 45

E = 45/3

E = 15

Emma is 15 years old.

A = 3 + 2E

A = 3 + 2(15)

A = 3 + 30

A = 33

Alice is 33 years old.

How do i find the perimeter and area of the triangle with these points? The directions say to round to the nearest tenth. A (‐1, 3 ), B( 8, 3), C( ‐1, 5).

Answers

the perimeter is 9.2 i think

- 3c = - 5 — 4с
I want to know the answer

Answers

Answer:

c=-5

Step-by-step explanation:

JUST ANSWER ME PLEASE

Do the ratios 20/10 and 1/2 form a proportion?

Answers

Answer:

no

Step-by-step explanation:

they do not form a proportion because they are not equivalent to each other.

A factory uses 1/3 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 2/3 of a barrel of raisins. How many batches of granola bars did the factory make yesterday?

Answers

Answer:

2

Step-by-step explanation:

since it takes 1/3 to make one batch then you have 2/3 it means yesterday they made 2 batches

Is 8/5
an irrational number?

Answers

No, it’s not. It’s a rational number

Last month, Jim ate 4 strawberries. Finn ate 1/8 as many strawberries as Jim did. How many strawberries did Finn eat?

Answers

Answer:

He ate 0.5 strawberry

Step-by-step explanation:

4÷8 or 4×(1/8) =0.5 strawberry

Edit 1: Typo

Answer:

1/2 or half a strawberry

Step-by-step explanation:

1/8*4

Frank has a sample of steel that weighs 80 grams. If the density of his sample of steel is 8 g/cm3, what is the sample’s volume?

Answers

Answer:

volume of the sample is 10 cm³

Step-by-step explanation:

volume = 80 g / 8 g/cm³

volume = 10 cm³

I hope this helps you :)

-KeairaDickson

Evaluate each expression. 12k − h​ 2​; use h = 2, and k = 3

Answers

12(3)-(2)2
36-4
Answer: 32
Hopes this helps & if I don’t get it right I’m sorry

the expression as an inequality for the statement above is....​

Answers

Answer:

See below.

Step-by-step explanation:

"The cost, c, to have dinner at Jack's Cafe is at most $25."

In other words, the cost can not go above $25.

This means that the cost c will always be less than or equal to $25.

So, our answer is:

[tex]c\leq 25[/tex]

Or the second choice.

And we're done!

Write x < -3 in set-builder notation

Answers

Answer:

{x is a set of Z, x<-3}

Step-by-step explanation:

Z-integer

what is the answer?

1/3x + 4 = x - 2

Answers

Answer:

The answer is x = 9

Step-by-step explanation:

(1/3)*x+4 = x-2 // - x-2

(1/3)*x-x+2+4 = 0

6-2/3*x = 0 // - 6

-2/3*x = -6 // : -2/3

x = -6/(-2/3)

x = 9

If 26 out of 100 high school students plays high school sports, what fraction
and what percentage of high school students do not play sports?
Check all that apply

Answers

Answer:

26%, 26/100

Step-by-step explanation

The total students will your denominator, and the number "out of" the total will be your numerator, so the fraction is 26/100. Next, convert the fraction into a decimal by dividing 26 by 100, making it 0.26. To convert a decimal into a percent, move the decimal two places to the right, ie, 0.26 becomes 26%.

Answer:

74/100 and 74%

Step-by-step explanation:

Evaluate the following function over the domain {0,1,2,3}. What is the range? g (x) = -2x^{2} + 2

Answers

Answer:

the range= {-16, -6, 0, 2}

Step-by-step explanation:

domain={0,1,2,3}

g(x)= -2x^{2} + 2

g(0)= -2(0)^{2} + 2 =2

g(1)= -2(1)^{2} + 2 =0

g(2)= -2(2)^{2} + 2= -6

g(3)= -2(3)^{2}+ 2= -16

the range = {-16, -6, 0, 2}

I need help finding the Function notation

Answers

Answer:

  1.5, -8, 0, 2f, 2/3

Step-by-step explanation:

j(x) = 2x means the function name is j, and it is a function of the variable x. To evaluate the function, you put the given value everywhere you see x, and do the arithmetic.

  j(0.75) = 2(0.75) = 1.5

  j(-4) = 2(-4) = -8

  j(0) = 2(0) = 0

  j(f) = 2f

  j(1/3) = 2(1/3) = 2/3

A square rug has an area 94 ft. Write the side length as a square root. Then decide if the side length is a rational number.

Answers

Hey there! I'm happy to help!

All of the sides of a square are the same. Therefore, to find the area, you multiply the side by itself. Multiplying a number by itself is conveniently called squaring.

Doing this backwards is called finding the square root. If you have an area of 64, you square root it, showing you that the sides are 8.

Therefore, the side length here is √94.

If we put √94 into the calculator, we see that it is 9.895359715.....

That number never ends and it goes on in no particular order, so it cannot be written as a fraction of two integers and therefore is not a rational number.

Have a wonderful day! :D

What is the least common denominater of 3/4 and 7/10

Answers

Answer:

Least Common Multiple of 3 , 4 and 7 is 84 .

Step-by-step explanation:

Answer:

your answer is 20

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Mr. Smith set aside 5/6 of an hour for homework after school each day. How many hours of homework does he do in 5 days?

4 1/6 hours
3 1/2 hours
4 1/2 hours
50 minutes

Answers

The answer is 1/2 hours

An adults heart beats about 2100 times every 30 minutes.A baby beats about 2600 times every 20 minutes. How many more heart beat i 60 minutes than an adults hearts?

Answers

Given :

An adults heart beats about 2100 times every 30 minutes.

A baby beats about 2600 times every 20 minutes.

To Find :

How many more heart beat baby have than adult in 60 min .

Solution :

Now , total number of heart beats of adult in 60 min , [tex]T_a=2100\times 2=4200[/tex]

Also , total number of heart beats of adult in 60 min , [tex]T_b=2600\times 3=7800[/tex]

Difference between them , [tex]7800-4200=3600[/tex] beats .

So , baby have 3600 more heart beats than adult .

Hence , this the required solution .

A rock is thrown upward with a velocity of
22 meters per second from the top of a
45 meter high cliff, and it misses the cliff on the way back down. When will the rock be
9 meters from ground level? Round your answer to two decimal places.

Answers

Answer:

5.76 seconds

Step-by-step explanation:

We are given;

Position of rock from ground level; h(t) = 9 m

Height of cliff;h_0 = 45 m

Velocity;v_0 = 22 m/s

To solve for the time, we will use the gravity formula which is;

h(t) = (-1/2)gt² + (v_0)t + h_0

Plugging in the relevant values to get;

9 = (-1/2)(9.81)t² + 22t + 45

Subtract 9 from both sides to get;

-4.905t² + 22t + 45 - 9 = 0

-4.905t² + 22t + 36 = 0

Finding the roots of the equation through quadratic formula gives;

t = 5.76 or -1.27

t cannot be negative, so we will use the positive value to get;

t = 5.76 s

Thus, the rock will be 9m from the ground level after 5.76 seconds

A runner completed a 26.2 mile marathon in 5 hours. a) What is her speed in miles per hour? b) What is her speed in feet per second? Note that there are 5280 feet in 1 mile.

Answers

Step-by-step explanation:

in this problem, we are expected to convert from miles per hour to feet per second

a). What is her speed in miles per hour?

we know that speed= distance/ time

given that

distance= 26.2 mile

time= 5 hours

substitute and solve for speed we have

speed= 26.2/5

speed= 5.24 miles per hour

b) What is her speed in feet per second?

1 mile per hour is 1.46667 feet per second

5.24 miles per hours will give x

cross multiply to solve for x we have

x= 5.24*1.46667

x= 7.68 feet per seconds

A bag of marbles contains 3 red marbles, 7 blue marbles, and 5 orange marbles. If a marble is drawn from the bag and not replaced, then a second marble is drawn. Calculate P(red then orange):

Answers

Answer:

[tex]\dfrac{1}{14}[/tex].

Step-by-step explanation:

It is given that,

Red marbles = 3

Blue marbles = 7

Orange marbles = 5

Total marbles = 3+7+5 = 15

Probability of getting a red marble is

[tex]P(Red)=\dfrac{\text{Red marbles}}{\text{Total marbles}}[/tex]

[tex]P(Red)=\dfrac{3}{15}[/tex]

[tex]P(Red)=\dfrac{1}{5}[/tex]

If a marble is drawn from the bag and not replaced. So remaining marbles is 15-1=14. Now,

Probability of getting an orange marble is

[tex]P(orange )=\dfrac{\text{Orange  marbles}}{\text{Total remaining marbles}}[/tex]

[tex]P(orange)=\dfrac{5}{14}[/tex]

Now,

[tex]P(\text{red then orange})=P(Red)\times P(orange)[/tex]

[tex]P(\text{red then orange})=\dfrac{1}{5}\times \dfrac{5}{14}[/tex]

[tex]P(\text{red then orange})=\dfrac{1}{14}[/tex]

Therefore, the required probability is  [tex]\dfrac{1}{14}[/tex].

1. 6(8+7)=6∙8+6∙7 (this is an example of which property?)


A) Associative (addition)

B) Associative (multiplication)

C) Commutative

D) Distributive


Answers

Answer:

d: distributive

Step-by-step explanation:

8 ( 8 + 7 ) = 6 x 8 + 6 x 7, it may seem like commutative, except it pulls the parentheses  out making it distributive.

How do I simplify -11+5+6(-6+13)^2

Answers

Answer:

288

Step-by-step explanation:

To simplify use the mnemonic device PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction)

First simply -6 and 13 (since they are in the parenthesis)

-11+5+6(7)^2

Now find out what 7^2 is

-11 + 5 + 6(49)

Next multiply 6 and 49 (294)

Lastly add 5 then subtract 11 from it

299-11

288

Answer:

Hello! :) I hope I am correct!

Step-by-step explanation:

(The answer should be 288)

Below is the steps!!

Steps:

⇒-6+6(-6+13)^2

⇒-6+6(7^2)

⇒-6+(6)(49)

The answer would be 288 if you solve this equation.

The last step:

⇒-6+294

Which equals 288

Therefore your answer would be 288.

Hope this helps!

By:BrainlyAnime! ^-^

(Just in case you didn’t understand, I attached a picture!)

Susie and Peggy arrive at the fair with $32.50. The entrance fee per person is $7.50 and each ride costs $2.50 per person. What is the total number of rides they can go on if they each pay the entrance fee? Write and solve an equation for this situation

Answers

32.50 - (7.50*2) = 17.50

17.50 / 2.50 = 7

Can someone please help me I need help

Answers

Answer:

C and B.

Step-by-step explanation:

f(x) = 4 - x^2.

The degree of f(x) is 2, which means it is a quadratic graph. The coefficient of x^2 is negative, which means the curve is pointing downwards. The only curve that satisfies this is Graph C.

f(x) = 2^x + 5.

Notice that 2^x is positive for all real values of x. Therefore the answer is Graph B.

The first one is graph c. The second is graph b.

Find the distribution of responses about whether there was broken glass at the accident for the subjects in this study using relative frequencies

Answers

Answer:

Probability of having broken glass =  0.1933

Probability of not having broken glass = 0.8067

Step-by-step explanation:

The Treatment table in the file attached to the given question is written out and completed below;

                                                  Treatment

Response       Smashed into             Hit                 Control       Total

      Yes             16                               7                        6             29

       No             34                              43                     44            121

Total:                  50                            50                     50           150

Using relative frequencies,

the distribution of responses about whether there was broken glass at the accident for the subjects in this study can be computed as follows:

Probability of having broken glass = [tex]\dfrac{29}{150}[/tex]

Probability of having broken glass =  0.1933

Probability of not having broken glass = [tex]\dfrac{121}{150 }[/tex]

Probability of not having broken glass = 0.8067

Please help me solve these questions

Evaluate step by step

g(-2)=x^2+3X+2


And


g(3.14)=x^2+3X+2

Answers

Answer:

g(-2) = 0

g(3.14) = 21.2796

Step-by-step explanation:

Simply substitute the values for x.

Step 1: Find g(-2)

g(-2) = (-2)² + 3(-2) + 2

g(-2) = 4 - 6 + 2

g(-2) = -2 + 2

g(-2) = 0

Step 2: Find g(3.14)

g(3.14) = (3.14)² + 3(3.14) + 2

g(3.14) = 9.8596 + 9.42 + 2

g(3.14) = 19.2796 + 2

g(3.14) = 21.2796

Mr. Rogers has $4.62. He has 3 times as many dimes as nickels and 6 more pennies than dimes. How many coins of each kind does he have?

Answers

Let’s make x = # of nickels. Then 3x = # of dimes and 3x+6 = # of pennies. A nickel is 5 cents, a dime is 10 cents and a penny is 1 cent.

The money she has should be .05(x) + .10(3x) + .01(3x+6) = 4.62 or to make it simpler: 5(x) + 10(3x) + 1(3x+6) = 462.

5x + 30x + 3x + 6 = 462

38x + 6 = 462

38x = 456

x = 12.

So she has 12 nickels (12 * $0.05 = $0.60), 36 dimes (36 * $0.10 = $3.60) and 42 pennies (42 * $0.01 = $0.42). $3.60 + $0.60 + $0.42 = $4.62.
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