Find the length of the third side of the right triangle. Give an exact answer and an approximation to three decimal places if needed.

Find The Length Of The Third Side Of The Right Triangle. Give An Exact Answer And An Approximation To

Answers

Answer 1

Answer:

a = 32

Step-by-step explanation:

This is a right triangle and the square value of hypotenuse is equal to sum of square value of other two side lengths

68^2 = 60^2 + a^2

4624 = 3600 + a^2

4624 - 3600 = a^2

1024 = a^2 find the root for both sides

32 = a


Related Questions

A and B are supplementary angles. If A=(3x-17) and B = (2x-23), then find the measure of B

Answers

Answer:

B = 65°

Step-by-step explanation:

Two "supplementary" angles add up to 180 degrees.

Therefore:

A + B = 180

(3x - 17) + (2x - 23) = 180

"Combine like terms" on the left side: the Xs and the numbers.

3x + 2x - 17 - 23 = 180

5x - 40 = 180

Add 40 to both sides:

5x = 220

And divide 5 on both sides:

x = 44

But we're looking for B, which is

(2x - 23) = 2(44) - 23 = 88 - 23 = 65

B = 65°

Can you please show all your work plus the equation

Answers

I need a pic or a document

round off 8.20155 to the nearest whole number ​

Answers

Answer:

8

Step-by-step explanation:

8.2, since 2 is smaller than 5, it would eliminate it, rounding it to just 8.

Can someone help me it is algebra 2

Write the interval {x|—3 < x < 5}
as an inequality and using interval
notation.

Answers

I can't understand this question write it properly please ok plz

A school has a ratio of girls to boys as follows:
6:5
What fraction of the school is girls

Answers

Answer:

6/11

Step-by-step explanation:

The ratio says that, for every 6 girls, there are 5 boys.

For every 6 girls, there are 6 + 5 = 11 students.

So the fraction of  girls is

6/11

(3/5) + (-6/7)+(-2/5)+(3/14) find​

Answers

Answer:

Step-by-step explanation:

Rearrange the givens

3/5 - 2/5 - 6/7 + 3/14

1/5 - 12/14 + 3/14

1/5 -  9/14

The lowest common multiple is 70

14/70 - 45/70 = - 31/70

The sum of a number and 98 is 167. What is the number?

Answers

167-98=69 the sum is adding the numbers together

Answer:

The answer is 69

Step-by-step explanation:

The sum of a number and 98 means it equals 167. So all you have to do to find the missing number is plug it in to the equation.

?+ 98= 167

167-98=?

proportion problems
8 chickens would lay 20 eggs in 3 days.

If chickens always lay eggs at the same rate,

a) how many days would it take for 12 chickens to lay 100 eggs?

=10 days

b)how many chickens would be required if a farmer needed 30 eggs each day?

= 36 chickies

i know answer for a and i know how to do it.

I don't know how to do b I need explaining and I know the answer is 36 but how do u get that answer ° ° °

:]

Answers

Answer:

10

Step-by-step explanation:

if thay had 20 eggs in 3 days then u take 12 chikens witch is adding

4 new chikens from the 8  the times then its what divided by 20 givs ur answer <3 have funnn

Answer:

a)

10 days

b)

36 chicken

Step-by-step explanation:

Because i know how to do it

Make the number 16 using six "1"s. Example: Make the number 18 using six "1"s. A: (11-1-1)(1+1)= 18

Answers

(1+1)(1+1)^(1+1)=16
4^2=16

how many acts are in the play romea and juliet. is this a statistcal quetion

Answers

The play is split into 5 acts.

the larger of 2 numbers is twice the smaller number if 12 is subtracted from the larger number the result is 7 more than the smaller number

Answers

Answer:

The larger number is 4

Step-by-step explanation:

4 is the larger number and two is the smaller number..

Answer:

x=19y=38

Step-by-step explanation:

Let x be the smaller number

Let y be the larger number

The larger of 2 numbers is twice the smaller number :

[tex]y = 2x[/tex]

if 12 is subtracted from the larger number the result is 7 more than the smaller number :

[tex]y-12 = 7+x[/tex]

To solve for x  ;

Substitute 2x for y in the second equation

[tex]2x-12=7+x\\2x-x=7+12\\x = 19[/tex]

To solve for y

[tex]If\: y=2x ,\\y = 2\times 19\\\\y= 38[/tex]

A bag of sweets contains mints and toffees only.There are 21 mints in the bag.One quarter of the sweets are toffees.Calculate the total number of sweets in the bag.

Answers

Answer:

Total number of sweets in the bag is 28

Step-by-step explanation:

let the total number of sweets in the bag be x :

[tex]{ \tt{for \: toffees : }} \\ \frac{1}{4} \: of \: x[/tex]

therefore fraction of mints = 1 - fraction of toffees :

[tex] = \frac{4}{4} - \frac{1}{4} \\ \\ = \frac{3}{4} [/tex]

therefore:

[tex] = > \frac{3}{4} \: of \: x = 21 \: mints \\ \\ \frac{3}{4} \times x = 21 \\ 3x = 21 \times 4 \\ x = \frac{21 \times 4}{3} \\ x = 28[/tex]

total sweets number is 28

Christian emptied 56 and 24 candies into 4 equal groups. How many candies were in each group

Answers

Answer: 20

Step-by-step explanation: 20x4=80. 56+24=80

add the amount of candies from both jars 56+24=80

he separated them into 4 equal groups so 80/4=20

20 in each group

Please someone help I’m stuck with this question please help show work too

Answers

Answer:

I think it is C but it could also be A

Step-by-step explanation:

So here is my explanation. The perfect answer would be {all real numbers p<=345} however because that isn't stated let me explain the answers. A states that there could be 0-345 students however it also states that there could be a fraction of a student (its some wierd thing my Algebra teacher taught me). B states that f(p) is between that but that doesn't make sense. C states all positive intergers less than 345 which means a positive whole number. That means that it is all whole students less than 345 which makes sense however I am iffy cause I think it means there cannot be 345. D states all greater than 0 which exceeds the 345 limit.

PLSSS HELPPPPP!!!! Evaluate the expression. -1 - (-6 + 10) = -1 =​

Answers

Answer:

3

Step-by-step explanation:

Given

- 1 - (- 6 + 10 ) ÷ - 1 ← evaluate parenthesis

= - 1 - (4) ÷ - 1

= - 1 - 4 ÷ - 1 ← evaluate division

= - 1 + 4

= 3

First you solve what is in the bracket you get 4
So -1 + 4 /4
Divide you get 1
So the answer is 0

i need help with this one

Answers

Answer:

B to (1, 0)

H to (3, -1)

F to (3, -3)

A to (-2, -2)

Step-by-step explanation:

An easy way to reflect points across axes is by counting the distance from the point you want to reflect to the axis you are reflecting across TWICE, and you'll be at the reflection point.

How do you put these numbers in order: 2.25, 2.6, 3, and 2.5?

ANY APPROPRIATE ANSWER HELPS! :)

Answers

Answer:

From Least to Greatest: 2.25, 2.5, 2.6, 3

From Greatest to Least: 3, 2.6, 2.5, 2.25

Step-by-step explanation:

Solve the equation x2 = 5.
o
x = 5
o
x = 25
o x= V5
o x= V5

Answers

Answer:

x^2 = 5

x = ±√5

Answer:

x = ± [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Given

x² = 5 ( take the square root of both sides )

x = ± [tex]\sqrt{5}[/tex] , that is

x = [tex]\sqrt{5}[/tex] or x = - [tex]\sqrt{5}[/tex]

Collect 5 large numbers and 5 small numbers related in life and express them as exponents.

Answers

Answer:

the large numbers are

125,100,234,450,650,550

I hope u will be able to make it in an exponents form if u can not feel free to ask me

the small numbers are

10,20,30,40,50

Have a happy day ahead

PLSSSS HELPPPPPPPPPPPP


Which value of × makes 7+5(x-3)=27+5(x−3)=22, a true statement?
Choose 1 answer:
a=4
b=5
c=6
d=7

Answers

Answer:

Option c = 6

Step-by-step explanation:

Given,

7+5(x-3)=27+5(x−3)=22

(Taking one of the equation)

=> 7 + 5(x - 3) = 22

=> 7 + 5x - 15 = 22

=> 5x = 22 + 15 - 7

=> 5x = 30

[tex] = > x = \frac{30}{5} [/tex]

=> x = 6 (Option c)

Answer:

Solve the equation for x:

7 + 5(x - 3) = 225(x - 3) = 15x - 3 = 3x = 3 + 3x = 6

Correct choice is c

Do Not Pay Any Less, Mrs. Mess Puzzle

Mrs Mess was buying a set of garden furniture.

The bill was seventy dollars.

She gave the attendant what she thought were

two $50 bills, (actually two $100 bills).

The attendant was sleepy and didn't notice either,

so he gave Mrs. Mess what he thought were

three $10 bills (actually three $50 bills).

Who ended up better off than they should?

Answers

Answer:

Step-by-step explanation:

She owes                                   70

She pays                     200

She gets                                   150

So the story is            200       220

She pays 200 and gets 220 including the furniture.

She 20 dollars to the good.

solve the following vertically opposite angle ​

Answers

Step-by-step explanation:

[tex]thank \: you[/tex]

Answer:

y = 20

BRAINLIEST, PLEASE!

Step-by-step explanation:

y = 20 (vertical angles are equivalent, and the opposite angle, which is vertical, is 20.)

Write the equation of the line in fully simplified slope intercept form.

Answers

Step-by-step explanation:

the line passes (-10, 0) and ( (0, 8) =>

the slope = (8-0)/(0-(-10) = 8/10 = 4/5

so, the equation :

y - 8= 4/5 ( x-0)

y -8 = 4/5 x

=> y = 4/5 x + 8

(-57) x (-19) + 57
Can you explain this answer as Distributive Property? ☺️​

Answers

Answer:

[tex]1140[/tex]

Step-by-step explanation:

[tex](−57)×(−19)+57 \\ =1083+57 \\ =1140[/tex]

Hope it is helpful....

Answer:

1140

Step-by-step explanation:

1. you first need to distribute -57 to -19 as they are being multiplied

(-57) · (-19) + 57

(1083) + 57

2. now you remove the parenthesis and add the liked terms

1083 + 57 = 1140

hope this helps! if you have any questions, let me know!

Find the quotient. Round to the hundredths place.

99.466 divided by 14.8

Answers

Answer:

6.72

Step-by-step explanation:

I multiplied both numbers by 10 to make it easier in my opinion. That made the equation 994.66 x 148

Then, I divided it until i got to the thousandths place. Lastly, i just rounded making it 6.72

PLEASE HELP!!!!!

Need hELP ASAP

Answers

Answer:

bro please help me make me brianliest I think c

Find the equation for the line with the given properties. Express the equation in slope-intercept form.
Slope = 7; containing the point (7,-1). What is the equation of the line?
y =

Answers

y- y1= a(x-x1)
y - (-1) = 7(x-7)
y+1 =7x -49
y = 7x -49-1
y = 7x -50

Answer:

y = 7x - 50

Step-by-step explanation:

the standard form for a line equation is

y = ax + b

a is the slope.

b is the intercept with the y-axis (x=0).

we know, a = 7

so,

y = 7x + b

to get b we use the point (x = 7, y = -1)

-1 = 7×7 + b = 49 + b

b = -50

=>

y = 7x - 50

i need help ;^; please im no big brain​

Answers

Answer:

[tex]18\sqrt{3} + 55\sqrt{3} = 73\sqrt{3}[/tex]

Step-by-step explanation:

27= 3 * 3 * 3

75 = 3 * 5*5

18 sqr 3 + 55 sqr 3 = 73 sqr 3

1. 2x < 10, x = -3
x+7 % -5, x = 5
2.
6
state whether the given number makes the inequality true or false

Answers

Answer:

both questions is false

At the red box, you can rent DVDs for $1.75 each per day, or you can get unlimited rentals for a monthly fee of $30. At most, how many DVDs could you rent at $1.75 before spending more than the cost of a month's unlimited rentals?

Answers

17 would be the answer, you divide 30 by 1.75 and you get 17.14 but you can’t buy .14th of a book so you’re left with 17
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