Find the value of each variable. Write answers in simplest radical form.

Find The Value Of Each Variable. Write Answers In Simplest Radical Form.

Answers

Answer 1

Answer:

1) x = 5

2) y = 5·√2

Step-by-step explanation:

1) The given parameter of the right triangle are;

The legs of the right triangle = 'x', and 5

One interior angle of the right triangle = 45°

Therefore, buy the interior angle summation property of a right triangle, we have;

The measure of the other angle, θ = 180° - 90° - 45° = 45°

From which we have;

A right triangle with an interior angle of 45° is an isosceles triangle with both legs equal

∴ The length of the other leg, x = 5

x = 5

2) By Pythagoras's theorem, we have that the square of the length of the hypotenuse, 'y', is given as follows;

y² = x² + 5²

∴ y² = 5² + 5²

y = √(5² + 5²) = √(25 + 25) = √50 = √(25 ×2) = 5·√2

y = 5·√2 in the simplest radical form.


Related Questions

estimate the product of 356 x 67?

Answers

Answer:

24000

Step-by-step explanation:

Answer:

24,000

Step-by-step explanation:

its the closest one to yhe actual figure

Hope I helped!

a motorcyclist sets out on a road trip traveling at a constant rate of 45 mph. one half hour after she leaves, her friend discovers that the motorcyclist forgot her duffel bag driving at a rate of 60 mph the friend sets out in the car to catch up with her

Answers

Answer:

1. 45

2. 60

Step-by-step explanation:

i did it and got it right

Answer:

the answer is 45 and 60

Step-by-step explanation:

Richard is selling candy bars for a school fundraiser on Monday he has 225 bars Remaining he sells an average of 30 bars per day how many bars will he have left at the end of the day on Friday?

Answers

Answer:

Mon - Fri: 4 days 4*30 = 120 bars given away. 225 - 120 = 135 bars

Step-by-step explanation:

monday he has 225 bars
he sells 30 per day so subtract 30 to 225 and keep going till you get to friday
tuesday 195
wednesday 165
thursday 135
friday 105
so on friday he will have 105 bars left

13 is what percent of 15?

Answers

Answer:

86.67%

Step-by-step explanation:

Which equation describes the graph?

Answers

The answer should be y=2|x|-1. Is that an option that is not pictured?

Well... what could the answers be

Answers

Answer:  1/3 and -3/2

Brainlist please?

Step-by-step explanation:

**EZ 35 POINTS**

Kent can paint a room in twice as fast as Luannda. Together they can paint the room in 5 hours. How long would it take Kent to paint the room alone? Write an equation to solve

Answers

kent can paint the room 1/5
luannda can paint the room 1/3
(3+5) (5*3) = 8/15 or 0.53 th of the room together but just for kent would be 1/5

BRAINLIEST FOR THE CORRECT AWNSER!! This graph shows the solution to which inequality?

Answers

your answer is d) y>4/3x-2

Answer:

d

Step-by-step explanation:

so first off because it is a dotted line then it can only either be < or >.

If the shaded region is about the line than y is greater than but if its below the line then y is less the and because its above then y is greater than.

At my school their are 12 more boys than twice the
number of girls. The total student population is 312
students. How many students are boys and how many
students are girls?

Answers

Answer:

12 boys and 300 girls

Step-by-step explanation:

There are twelve more boys than girls

Reflect the quadrilateral ABCD over
the y-axis to create A'B'C'D'.

Answers

Answer:

B (-2,4)

C (-3,1)

D(2,1)

A (2,3

Step-by-step explanation:

when you want to reflect over the Y-axis just flip the signs on X coordinate ([X],Y) and when you want to reflect over the X-axis flip the signs on the Y coordinate (X,[Y])

MATH HELP PLZ! MAKRING BRAINLIST

Answers

Answer:

60 ML is you answer please mark me as brainllest

Step-by-step explanation:

What sentence can be represented with a linear graph where the volume of water in a tub is a function of time

Answers

Answer:

c sorry if its wrong

Step-by-step explanation:

please help me!!!!!!!!!!!!!!!!1

Answers

Answer:

Step-by-step explanation:

Second point

Answer:

B

Step-by-step explanation:

Because the dot is filled in we know that it has to have a ≤

we can then just plug in -2 into the two remaining euqations and if it equals the right side then it's correct

this makes the answer B

If you make $2500 in Gross Income every month, but 35% is taken out in taxes, what will your monthly Net Income paycheck be?
$2500
$875
$1500
$1625

Answers

Answer:

$1625

Step-by-step explanation:

35% of 2500 is 875 so you subtract and you get 1625.

Is 2.14 a rational number

Answers

Answer: yes because you can put it as a fraction like 214/100 or more simplified if you needs or wanted to.

Step-by-step explanation:

a box in the shape of a triangular prism has 23.1 cubic feet of space. the base of the box has the length of 3.5 feet and a width of 1.2 what is y, the height of the box

Answers

Answer:

5.5 feet

Step-by-step explanation:

Multiply the length by width.

3.5 x 1.2 = 4.2

Now divide 23.1 by 4.2

You get 5.5

Please help! I don't wanna fail!

Answers

Answer:

32.55

Step-by-step explanation:


The shapes of the horizontal cross-sections of the cone below are not all
congruent.
A. True
B. False

Answers

Answer:

B. False

Step-by-step explanation:

We are given the statement,

'The shapes of the horizontal cross-sections of the cone are all congruent'.

Now, if we cut the cone horizontally, the cross-sectional shape is a 'circle'.

Further, the radius of the circle vary depending on the position form where the cone is cut i.e.

If cut from the top, the circle is approximately equal to a point.

If cut from the middle, the radius of the circle is less than the radius of the cone.

If cut from the bottom, the radius of the circle is equal to the radius of the cone.

Now, 'two figures are congruent if they overlap each other'.

Since, the circles have different radius, they will not overlap each other.

Thus, all the cross-sections of the cone would not be congruent.

Hence, the given statement is false.

Step-by-step explanation:

The solution is, the given statement is B. False.

What is a cross-section of any shape?

A cross-section is a shape formed by cutting a solid (such as a cone, cylinder, or sphere) with a plane. If a cylinder-shaped object is cut by a plane parallel to its base, the resulting cross-section is a circle. As a result, the object intersected.

here, we have,

We are given the statement,

'The shapes of the horizontal cross-sections of the cone are all congruent'.

Now, if we cut the cone horizontally, the cross-sectional shape is a 'circle'.

Further, the radius of the circle vary depending on the position form where the cone is cut i.e.

If cut from the top, the circle is approximately equal to a point.

If cut from the middle, the radius of the circle is less than the radius of the cone.

If cut from the bottom, the radius of the circle is equal to the radius of the cone.

Now, 'two figures are congruent if they overlap each other'.

Since, the circles have different radius, they will not overlap each other.

Thus, all the cross-sections of the cone would not be congruent.

Hence, the given statement is false.

To learn more about the cross-section of the shapes, visit:

brainly.com/question/13028300

#SPJ7

Uniforms are sold in packages of 8. The store's 127 employees will each be given 3 uniforms. How many uniforms will the store need to order? Fill in the blank. The store needs to order ____ uniforms.

Answers

Answer: 384 uniforms

Step-by-step explanation:

There are 127 employees and each of them will need 3 uniforms. The uniforms needed in total will be:

= 127 * 3

= 381 uniforms

Uniforms are however, ordered in packages of 8.

= 381/8

= 47.6

They have to order a multiple of 8. Round up the figure above to find the nearest multiple of 8:

= 48 * 8

= 384 uniforms

What’s the answer to this problem cause I’m super confused

Answers

Answer:

so,the area of the rectangle=length ×width

area of rectangle=10×5

area of rectangle=50in²

HELP ME PLZ ITS DUE AT 11:59 AND I HAVE MORE

Answers

Answer:

Step-by-step explanation:

1: no

2 yes

3 no

4 yes

5 no

6 no

7 always

8 always

9 never

10 always

11 always

12 never

13 108

14 80

15 70

16 123

17 38

18 167

19 10

20 154

. A cab company charges its customers a flat rate of
$10 plus $0.75 per mile. Find a rule for the linear
function that describes the cab company's basic fees.
Use the rule for Exercise 1 to find the cab company's
charge for a cab ride of 24 miles.

Answers

Answer:

Step-by-step explanation:

c(m)=10+0.75m

c(24)=10+0.75(24)=$28

Rectangle WXYZ with y axis

Answers

Answer:

I dont understand comment on this and i can help you out

Step-by-step explanation:

:)

Answer:

If you give me more information, I think I could help.

Step-by-step explanation:

can u pls help me with this question asap ​

Answers

Answer:

I believe that answer A would be the best choice. It makes the most sense with what the question is asking for.

Step-by-step explanation:

True or False: Similar and congruent mean the same thing.

Answers

Answer:

true

Step-by-step explanation:

Answer: False

Step-by-step explanation: Similar means that only the angles are the same, but the sides are not. Congruent means the angles and sides are the same.

Solve 9 ax + 10 ax = 11ax + 32 for x. Assume at 0.
Can someone help

Answers

It’s undefined. Because if you replace x with 0. You will never get anything.

the number of hours you work. Suppose that you earned $102 for working 12 hours, how much
would you earn for working 18 hours?

Answers

You would earn 153$, 102 divided by 12 is 8.5 so now you know how much you make an hour, now you work 18 hours so the equation would be : 8.5x18=153$

ayo help me :)

Which angle has the same degree measure as a half circle?


acute angle


obtuse angle


right angle


straight angle

none of the above

Answers

Answer:

Straight angle

Step-by-step explanation:

Half circle is 180 degrees

Richard had 5625 marbles he decides to put them equally into nine jars how many marbles will there be in five jars

Answers

125 i believe

Step-by-step explanation:

Answer:

5625 divided by 5 is your answer. 1125 marbles in each jar.

Help plssssssssssssss???

Answers

13290657409756235954.23
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