Find the missing side of the right triangle below. Round your answer to the nearest tenth if necessary.

Find The Missing Side Of The Right Triangle Below. Round Your Answer To The Nearest Tenth If Necessary.

Answers

Answer 1

The length of the missing side of the triangle is 9.42 cm  

Right Angled Triangle:  

A triangle is said to have a right angle if one of the angles is 90 degrees. In simple words, triangles those having angles at 90 degrees, which are referred to as right angles.  

Pythagorean theorem:

By the Pythagorean theorem or rule, the Sum of the squares of two sides of a right-angled triangle will always equal to the square of its Hypotenuse.

=> Hypotenuse² = Side² + Side²

Here we have

The lengths of the sides of the triangle are 5 cm and 8 cm

The longest side i.e Hypotenuse = x

As we know Hypotenuse² = Side² + Side²  

=>  x² = 5² + 8²

=>  x² = 25 + 64

=>  x  = √89

=>  x  = 9.42 cm

Therefore,

The length of the missing side of the triangle is 9.42 cm  

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Related Questions

Question 1 of 10
ZB is opposite
B
с
A. BC
B. AB and BC
C. AB
D. AC
O
E. 20

Question 1 of 10ZB is oppositeBA. BCB. AB and BCC. ABD. ACOE. 20

Answers

Answer:

The answer is D AC because that line is opposite of angle B

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form.
(-5, 3) \text{ and } (-8, 6)
(−5,3) and (−8,6)

Answers

The distance between the two points is  3 √ 2.

What is Distance Formula?

If two point in a coordinate plane as A(a, b) and B(c, d) then distance between two points are:

AB = √(c- a)² + (d-b)²

As, we have the points (−5,3) and (−8,6).

Then, the distance between these points are:

= √(c- a)² + (d-b)²

= √(-8- (-5))² + (6-3)²

= √(-8+5)² + (3)²

= √ 9 + 9

= √ 18

= 3 √ 2

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The prism is completely filled with 1750 cubes that have edge length of 1/5 ft.
What is the volume of the prism?
Enter your answer in the box.

_____ ft

Answers

The vοlume οf the prism is 14 cubic feet.

What is a rectangular prism?

A three-dimensiοnal structure having six rectangular faces is called a prism. It is alsο knοwn as a rectangular cubοid οr a rectangular parallelepiped.

The prism is cοmpletely filled with 1750 cubes that have an edge length οf 1/5 ft. This means that the vοlume οf each cube is \((1/5)^3 = 1/125\) cubic feet.

Tο find the vοlume οf the prism, we can divide the tοtal vοlume οf the cubes by the number οf cubes:

Vοlume οf prism = (Vοlume οf οne cube) x (Number οf cubes)

Vοlume οf prism = (1/125) x 1750

Vοlume οf prism = 14 cubic feet

Therefοre, the vοlume οf the prism is 14 cubic feet.

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Which point is located at -1 3/8?

Which point is located at -1 3/8?

Answers

Point C is located at -1 3/8

Hope that helps!

Write equivalent expressions in factored form
2x + 8y

Answers

Answer:

2(x) + 8(y)

Step-by-step explanation:

Tinley is training to run a half-marathon. She sets a pace so that every mile takes
7 minutes.

Write an equation for the amount of time,
t, it takes Tinley to run
m miles.

Answers

Answer:

t=7m

Step-by-step explanation:

In this equation, "t" represents time, and "m" represents miles. Each mile is 7 minutes. To find how much time this run will take her, multiple the amount of miles she will run by 7.

For example:

If Tinley runs 13 miles you should do-

7(13)= 91

13 miles would take Tinley 91 minutes

This is part two of the problem go check part one so it makes sense

This is part two of the problem go check part one so it makes sense

Answers

Answer:Execute Order 66

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assuming that the original figure is the black one

Area of the original figure = 2 x 3 = 6

A (0,1) -> A’ (0,3)

B (2,1) -> B’ (6,3)

C (2,4) -> C’ (6, 12)

D (0,4) -> D’ (0,12)

AB = 6

BC = 9

Area of the final figure = 9 x 6 = 54

b)

area of the final figure = 9 x area of the original figure

c)

true, because their side are proportional

Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95

Answers

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

How much cheaper is the car washes Malcolm orders than the car washes Martha's order?

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

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Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95

PLEASE HELP ME ITS DUE ON SUNDAY NIGHT

PLEASE HELP ME ITS DUE ON SUNDAY NIGHT

Answers

Answer:

Each side will measure 15.5 cm.

by the bank to ABC company shows a balance of cash on deposit at July 31 of Br.4 shows a bank balance of Br. 4 173. 83. 1. A deposit of Br 410. 90 made after banking hours and doesnt appear in the bank statement2. A check drawn for Br. 79 had been erroneously charged by the bank Br.973. For checks issued in July have not yet been paid by the bank (outstanding checks). : Theses checks are;- Check No date amount 801 June 15 ---Br.100,00 888 July 24 ----Br. 10.25 890 July 27--- Br. 294.50 891 July 30 ---Br. 205.004. A check written for birr 210 had been incorrectly charged by the bank as birr 120 5. Proceeds from collection of a interest bearing note receivable from David. ABC Company had left this note with the banks collection department. The face amount of the note was birr 500 6. Br. 24.75 interest earned on average account balance during July7. A check for Br. 10 returned with the statement had been recorded in the check register as Br. 100. The check was for the payment of an obligation to Davis Equipment Company for the purchase of office supplies on account 8. Br. 5,00 fee charged by bank for handling collection of note receivable 9. Br. 50.25 check from customer John deposited by ABC company charged bank as Non sufficient fund (NSF) 10. Br. 12.70 service charged by bank for the month of July. 11. Check number 875 was issued July 20 in the amount of Br 85 but was erroneously recorded in the cash payment Journal as Br 58 for payment of telephone expense

Answers

The bank reconciliation reveals various errors and discrepancies between ABC Company's records and the bank statement, including missing deposits, incorrect check charges, outstanding checks, unrecorded interest proceeds, fees, NSF charges, and recording errors.

Upon analyzing the bank reconciliation for ABC Company, several discrepancies between the company's records and the bank statement are identified:

A deposit of Br. 410.90 made after banking hours does not appear on the bank statement. This indicates that the deposit was not processed by the bank before the statement was generated.

A check drawn for Br. 79 was charged by the bank as Br. 973. This suggests an error by the bank in processing the check, resulting in an incorrect charge to ABC Company.

Outstanding checks are checks issued in July but have not yet been paid by the bank. The checks include check numbers 801, 888, 890, and 891, with respective amounts of Br. 100.00, Br. 10.25, Br. 294.50, and Br. 205.00.

A check written for Br. 210 was charged by the bank as Br. 120, indicating an error in the bank's recording.

The proceeds from the collection of an interest-bearing note receivable from David, with a face amount of Br. 500, are not reflected in the bank statement.

A Br. 24.75 interest earned on the average account balance during July is included in the bank statement.

A check for Br. 10, which was recorded in the check register as Br. 100, was returned with the statement. This discrepancy could be due to an error in recording the check amount.

A Br. 5.00 fee was charged by the bank for handling the collection of a note receivable.

A Br. 50.25 check from customer John, deposited by ABC Company, was charged by the bank as Non-Sufficient Funds (NSF), indicating that the customer's check bounced.

A Br. 12.70 service charge was imposed by the bank for the month of July.

Check number 875 was issued on July 20 for Br. 85 but was erroneously recorded in the cash payment journal as Br. 58 for the payment of telephone expenses.

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Simplify 3x^(1/2)*5x^(2/5)

Answers

Answer:

= 15x^9/10

Step-by-step explanation:

Multiply the numbers: 3 . 5 = 15

= 15x^1/2x2/5

Apply exponent rule: a^b . A^c = a^b + c

= 15x^1/2+2/5

1/2 + 2/5 = 9/10

= 15x^9/10

If f(x)=√x^3 and (fog)(x)=√√x, then g(64) =​

Answers

The value of g(x) is (x^3+5) and g(64) = 262149.

According to the statement

we have given that the

f(x)=√x^3 and (fog)(x)=√(x^3+5) and we have to find the value of the g(64).

So, For find the value of g(64), Firstly we have to find the g(x).

So,

We given that

f(x)=√x^3 and (fog)(x)=√(x^3+5)

And here the formula used is

(f o g)(x) = f (g(x))

here (fog)(x)=√(x^3+5) and f(x)=√x^3

From this we get g(x) is (x^3+5)

So,

g(x) = (x^3+5) and

g(64) = ((64)^3+5)

g(64) = 262149.

So, The value of g(x) is (x^3+5) and g(64) = 262149.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

If f(x)=√x^3 and (fog)(x)=√(x^3+5). Then find the value of g(64).

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I take this to mean \(f(x) = \sqrt{x^3}\) and \((f\circ g)(x) = \sqrt x\).

Let's first find the inverse of \(f\).

\(f\left(f^{-1}(x)\right) = \sqrt{\left(f^{-1}(x)\right)^3} = x \\\\ \implies \left(f^{-1}(x)\right)^3 = x^2 \\\\ \implies f^{-1}(x) = x^{2/3}\)

(Note that \(f\) is defined only if \(x^3\ge0\), or \(x\ge0\).)

Apply the inverse of \(f\) to \(f\circ g\).

\((f\circ g)(x) = f(g(x)) = \sqrt x \\\\ \implies f^{-1}\left(f(g(x))\right) = f^{-1}(\sqrt x) \\\\ \implies g(x) = \left(\sqrt x\right)^{2/3} = \left(x^{1/2}\right)^{2/3} = x^{1/3} = \sqrt[3]{x}\)

Then

\(g(64) = \sqrt[3]{64} = \sqrt[3]{4^3} = \boxed{4}\)

At the office supply store, a ream of paper costs $5.89 and a cartridge of ink costs $38.40. Delilah needs to buy 8 reams of paper and 6 cartridges of ink for her office. She needs to know how much money to bring, so estimate the cost of these supplies.

Answers

Answer:

Step-by-step explanation:

Delilah needs to buy 8 reams of paper which cost $5.89 each, $5.89 x 8 = $47.12

Delilah needs to buy 6 cartridges of ink which cost $38.40 each, $38.40 x 6 = $230.4

We then add $230.4 and $47.12

$230.4 + $47.12 = $277.52.

Delilah needs to bring $277.52 to cover the cost of her supplies.

PLEASE HELP!!! URGENT!! Show work!!!

PLEASE HELP!!! URGENT!! Show work!!!

Answers

7x-5=2x 2x•4=8x 8x+6=14x

Answer:

hope it helps

Have a nice day

PLEASE HELP!!! URGENT!! Show work!!!

What is the value of the expression (Please see Q3 for equation) Show your work.

What is the value of the expression (Please see Q3 for equation) Show your work.

Answers

The value οf the expressiοn is 343.

What is expressiοn?

An expressiοn in math is a sentence with a minimum οf twο numbers οr variables and at least οne math οperatiοn. This math οperatiοn can be additiοn, subtractiοn, multiplicatiοn, οr divisiοn.

An expressiοn cοnsists οf οne οr mοre numbers οr variables alοng with οne mοre οperatiοn.

The expression \((7^{12} * 7^9) / 7^{18\) can be simplified as follows:

First, using the rule that states \(a^m / a^n =a^{m+n}\), we can combine the two terms in the numerator to get:

\(7^{12} * 7^9 = 7^{(12+9) } = 7^{21}\)

So the expression now becomes:

\(7^{21} / 7^{18}\)

Next, using the rule that states \(a^m / a^n =a^{m-n}\), we can divide the two terms in the denominator from the numerator to get:

\(7^{21} /7^{18} = 7^{21-18}= 7^3\)

Therefore, the value of the expression is 343.

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does ''-3.5 · 12" equal ''-42 "?

Answers

it actually equals-42.50 i believe

Answer:

i think they equal

Step-by-step explanation:

Given directed line segment JL below, find the coordinates of K such
that the ratio of JK to JL is 7:8. Plot point K.

Given directed line segment JL below, find the coordinates of K suchthat the ratio of JK to JL is 7:8.

Answers

The coordinate of JK is (-1.7, -0.3)

The coordinate of the points that divides the line segment in the given ratio is calculated as:

\((x, y) = (\frac{ax_1 +bx_2}{a+b} , \frac{ay_1 +by_2}{a + b} )\)

where;

a:b = 7:8

From the image;

(x₁, y₁) = (-6, 5) and,

(x₂, y₂) = (2, -5)

Substitute the given points in the equation above to calculate the coordinates of JK.

\((x, y) = (\frac{7(-6)+8(2)}{7+8} , \frac{7(5) +8(-5)}{7+8} )\\\\(x, y) = (\frac{-26}{15} , \frac{-5}{15} )\\\\(x,y) = (-1.7, -0.3)\)

Thus, the coordinate of JK = (-1.7, -0.3)

Check the image uploaded for the plot of point K

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Given directed line segment JL below, find the coordinates of K suchthat the ratio of JK to JL is 7:8.

OPEN ENDED QUESTION
Does she have enough? She already used
60° and 75º. Use what you know about
the number of degrees in a circle to
determine whether or not she can draw a
200° angle with what is left.
I

Answers

Answer:Yes she can.

Step-by-step explanation:well a circle is 360 degrees and she has already used 60 and 75 degrees so 360-60-75= 225 degrees so yeah, she can still draw a 200 degree angle.

changing percentages as decimal change the following into decimal places 20% , 30%, 25%, 16%​

Answers

20%=0.2
30%=0.3
25%=0.25
16%=0.16

Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? -3x^2 -5x +9 =0

Answers

Answer:

The quadratic equation is in the standard form: ax^2 + bx + c = 0. To use the quadratic formula to find the solutions, we need to identify the values of a, b, and c in the equation:

a is the coefficient of the x^2 term, which is -3 in this case.

b is the coefficient of the x term, which is -5 in this case.

c is the constant term, which is 9 in this case.

Therefore, the values of a, b, and c in the quadratic equation -3x^2 - 5x + 9 = 0 are:

a = -3

b = -5

c = 9

Determine which of the following angle measures are correct. Select all the apply

Determine which of the following angle measures are correct. Select all the apply

Answers

Answer:

The right answer is :

2 (108) and 3 (72)

Step-by-step explanation:

i did the test

The correst angle measures in the triangle ABC is that m∠BAC=72° and ∠BCD=108°.

What is isosceles triangle?

An isosceles triangle is a triangle which is having two sides equal to each other.

How to determine angles?

Firsty we have to find the value of x in the angles. We have been given that the triangle is isosceles because two sides are equal to each other and we know that angles opposite to two equal sides are also equal to each other.

So,

(4x+16)°+2(5x+7)°=180°

4x-16+10x+14=180

14x-2=180

14x=180+2

14x=182

x=182/14

x=13

Putting the value of x.

∠BCA=5x+7

=5*13+7

=65+7

=72

∠ABC=4x-16

=4*13-16

=52-16

=36

∠BAC=180-36-72

=180-108

=72

∠BCD=180-∠BCA

=180-72

=108°

Hence the correst angle measures in the triangle ABC is that m∠BAC=72° and ∠BCD=108°.

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Jamie drives her car 42 miles using 2 gallons of gas how many miles per gallon does her car get

Answers

21 miles per gallon

Step-by-step explanation:

42 ÷ 2 = 21


Write the word sentence as an equation: The quotient of a number cand 14 is 5
a) 14+ c = 5
b) c. 14 = 5
c) c = 14 = 5
d) 14 - C = 5

Answers

The answer is c hope it helps

Melanie needs to write the number eighteen and eighty-one thousandths as a decimal in her computer program.How should she write this number in standard form.

Melanie needs to write the number eighteen and eighty-one thousandths as a decimal in her computer program.How

Answers

Answer:

18.081

Step-by-step explanation:

I'm pretty sure it's this.

Statistic Questions

All of the following statements, except for one, contains an error.

Which statement does not contain an error?

A) The relationship between height and the ability to reach things is strong and positive. The correlation is 1.15.

B) The relationship between height and weight is strong and positive. The correlation is 0.95.

C) The relationship between height and gender is strong and positive. The correlation is 0.95.

D) The relationship between age and height is negative for the elderly. The correlation is –1.25 .

Answers

The correct statement regarding the correlation coefficient is given as follows:

B) The relationship between height and weight is strong and positive. The correlation is 0.95.

What is a correlation coefficient?

The correlation coefficient between two variables is an index that measures correlation between these variables, assuming values between -1 and 1.

As the values have to be between -1 and 1, statements A and D are false, as the coefficients have values greater than 1 or less than -1.

From the image given at the end of the answer, the variables are given as follows:

Height.Weight.

The scatter plot is increasing, hence statement B is correct, as there is a positive correlation between the variables.

Missing Information

The graph is given by the image at the end of the answer.

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Statistic QuestionsAll of the following statements, except for one, contains an error.Which statement

Two bicycle trails were developed in a new housing development. One trail is
3 1/2 miles long. The other trail is 3/4 as long. How long is the second trail?

Answers

The length of the second trial will be equal to 2(⁵/₈) miles.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that two bicycle trails were developed in a new housing development. One trail is 3¹/₂ miles long. The other trail is 3/4 as long.

The length of the second trial will be calculated as,

Length =  3/4 x ( 3¹/₂ )

Length = 2(⁵/₈)

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A ladder is leaned against a wall with its base 6m from the wall. The ladder makes a 50 degree angle with the ground. How long is the ladder?

Answers

Answer:

b

Step-by-step explanation:

PLEASE EXPLAIN!!



The ratio of my sister's age to my age is 10: 9.
The ratio of my brother's age to my age is 29 : 27.
I am over 40 years old but under 70 years old.
What is my age?

Answers

Sis : you : bro

10 : 9 : ?

? ? : 27 : 29

We can get the 9 at the top to 27, by multiplying the whole row by 3 to get:

30 : 27 :?

? : 27 : 29

Your age matches (in the ratios or relation to your sis & bro) now 27 yrs in both ratio. Creating a single ratio, whereby multiplying the top row by 3 to get you to 27 & bottom row by 1 to get you to 27. Knowing when you're 27 in both cases, you know how old your sis & bro is

So, replace the ? with the number above or below it, creating a single ratio, where you are in common with both, by being 27 in both cases.

The ratio of sis : you : bro is now -

The ratio of sis : you : bro is now - 30: 27 : 29

To find what your age is we need to increase the ratio in the same amount to find your maximum age under 70.

So, if we were to double your age to 54, by multiplying your previous age of 27 by 2. We've got to do the same for your sis & bro too, they're aging with you.

We get :

We get :60 : 54 : 58

(30 x 2) : (27 x2) : (29 x2)

Keep increasing the ratio, to the point you're not above 70 years. Now, I'll multiply all ages by 3.

30: 27 : 29

(30 x 3) : ( 27 x 3) : (29 x 3)

We get:

We get:90 : 81 : 87

Right now, you're above the age of 70.

Thus, your maximum age must be 54, where you're under 70 years, but over 40 years.

Answer : 54 years

Hope this helps!

Cost of 6 kg of rice is 540 what is the cost of 13 kg of rice. ​

Answers

$1170

Given: 6kg rice costs $540
Find: cost of 13kg rice

13 kg rice x ($540 / 6 kg rice)
Units kg rice crosses out and you’re left with $ for units.

(13 x 540) / 6 = $1170

CHECK

13kg rice /6 kg rice = 2.17 bags to make 13kg rice

2.17 bags of 6 kg rice = $1170

So the answer is correct.

Answer:

1170$

Step-by-step explanation:

Cost of 6 kg of rice is 540 what is the cost of 13 kg of rice. ​

we can solve with an equation

6 : 540 = 13 : x

x = 540 * 13 : 6

x = 7020 : 6

x = 1170

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

check

6 : 540 = 13 : 1170

0.01111111111 = 0.01111111111

the answer is good

Use the two given functions to write y as a function of x.
y = -3a + 3, a = -5x + 1

Answers

Answer:

Step-by-step explanation:

To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.

Given:

y = -3a + 3

a = -5x + 1

Substituting the value of "a" in the first equation:

y = -3(-5x + 1) + 3

Now, let's simplify this expression:

y = 15x - 3 + 3

y = 15x

Therefore, y can be expressed as a function of x as:

y = 15x

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