In a right triangle, one acute angle is 22º and the hypotenuse is 70 cm. Find thelengths of the legs and the other angle measure.

Answers

Answer 1
Answer:

Answer:

Adjacent leg (In relation to the angle that is measure 22 degrees)= 70*Cosine 22 or 64.9; Opposite leg (In relation to the angle that is measure 22 degrees)=70* Sin 22 or 26.22

Step-by-step explanation:

The other angle measure is 90-22 or 68.

To find the length of the adjacent leg (a) use cosine. Remember cosine is Adjacent leg over hypotenuse.

Cosine 22= a/70- Multiply by 70

70* Cosine 22=a or about 64.9

To find the length of the opposite leg (o) use sine. Remember sine is Opposite leg over hypotenuse

Sine 22= o/70

70*Sine 22=o

o= about 26.22


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An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?

Answers

Hi! Sorry, it would've taken too long to type out, so I wrote it and have the attachment. Good luck!

A student is asked to solve the equation below and to justify her/his steps. Identify what, if anything, is incorrect in her/his math or justification.z – 3 = 11 NEED SOME FAST HELP I HAVE TEN MINS TILL THE TEST IS OVER PLEASE HELP

Answers

Add +3 to each side and it should then be z=14

the answer is D i just took the test

A.

The student mislabeled the work in the second step as "Addition property of equality."

B.

The student improperly applied the addition property of equality in the second step.

C.

The student computed the sums improperly to arrive at an erroneous answer in step 3.

(D.

There is no error. The student's justification is correct.)

Find the sum 93.5+8.7​

Answers

Answer:

102.2 is your answer

hope this helped you

please mark as the brainliest (ㆁωㆁ)

A:

93.5
+ 8.7
———
102. 2

Always make sure before adding to place ur decimal down before u add. It’ll help u a lot.

Please mark brainliest :/

Find the supplement of the given angle. Then draw the two angles as linear pairs. Label each angle with its measure.m angle ABC=72 B will be the vertex

Answers

The supplement angle of angle ABC is 108 degrees because, supplement angles mean angles that add up each other to 180 degrees so 180-72=108

Where on a coordinate graph are the first numbers before the dashes located?

The coordinates in parenthesis are the answer choices. Where do they go?

Example on how to position your answers: (1, 1) and (0, 0) = 1 (Just an example, this is not a correct answer.)

8
4
10
12
Square root of 41
Square root of 68
Square root of 2
Square root of 50
-------------------------
(-10, 2) and (-2, 2)
(-3, -1) and (5, 1)
(-3, -2) and (1, 3)
(-3, -5) and (-2, -4)
(0, 0) and (5, 5)
(1, 2) and (1, -10)
(1, 2) and (5, 2)
(2, 3) and (10, 9)

Explain your answers thoroughly, please. Thank you! :D
Will pick Brainliest!

Answers

basiclly, we look at the 2 points below and find the distance between them, then we match

d=\sqrt{( x_(2) -x_(1) )^(2)+( y_(2)-y_(1) )^(2)}
when finding the distance between points (x1,y1) and (x2,y2)

if the x values, or y values are same, you don't need the distance formula, just use logic

(-10, 2) and (-2, 2)
the y value is the same so find the distance between the x values
from -10 to -2 is 8
8 matches with this one


(-3, -1) and (5, 1)
use distance formula
d=\sqrt{( 5-(-3) )^(2)+( 1-(-1) )^(2)}=√68


(-3, -2) and (1, 3)
input
d=\sqrt{( 1-(-3) )^(2)+(3-(-2))^(2)}=√41

(-3, -5) and (-2, -4)
input
d=\sqrt{( -2-(-3) )^(2)+( -4-(-5) )^(2)}=√2

(0, 0) and (5, 5)
input
d=\sqrt{( 5-0 )^(2)+( 5-0 )^(2)}=√50


(1, 2) and (1, -10)
x values are same so find distance between 2 and -10
answer is 12

(1, 2) and (5, 2)
y values are same
find distance between 1 and 5
answe ris 4


(2, 3) and (10, 9)
input
d=\sqrt{( 10-2 )^(2)+(9-3)^(2)}=10





ANSWERS (because the spacing has gone wierd)                                                           
(-10, 2) and (-2, 2)=8           
(-3, -1) and (5, 1)=√68             
(-3, -2) and (1, 3)=√41                       
(-3, -5) and (-2, -4)=√2             
(0, 0) and (5, 5)=√50             
(1, 2) and (1, -10)=12             
(1, 2) and (5, 2)=4               
(2, 3) and (10, 9)=10 

A restaurant earns $1073 on Friday and $1108 on Saturday. Write and solve an equation to find the amount xx (in dollars) the restaurant needs to earn on Sunday to average $1000 per day over the three-day period.

Answers

Money earned by restaurant on Friday=$1073

Money earned by restaurant on Saturday=$1108

Let Money earned by restaurant on Sunday=$x

Average=$1000

\text { average}=\frac  { sum of all the observation}{total number of observation}

Number of observation=3

                           ⇒  3×  1000=1073+1108+x

                            ⇒3000=     2 181+x

                              ⇒3000-2181=x

                            ⇒x=819

The restaurant needs to earn on Sunday to average $1000 per day over the three-day period=$819


1073+1108+x/3=1000

answer is $819