Please Help ASAP
Find the value of x, y, and z. Round to the nearest tenth if needed.

Please Help ASAPFind The Value Of X, Y, And Z. Round To The Nearest Tenth If Needed.

Answers

Answer 1

Answer:

z^2 = y^2 + 6^2........equation 1

x^2 = y^2 + 24^2.....equation 2

30^2 = z^2 + x^2.......equation 3

put equation 1 and 2 in 3

30^2 = (y^2 +6^2) + (y^2 + 24^2)

900 = y^2 + 36 + y^2 + 576

900 = 2y^2 + 612

2y^2 = 900 - 612 = 288

divide both side by 2

y^2 = 144

find the square root of both sides

y = 12

recall

z^2 = y^2 + 6^2

z^2 = 144 + 36

z^2 = 180

z = 13.42

recall

x^2 = y^2 + 24^2

x^2 = 144 + 576

x^2 = 720

x = 26.83

Step-by-step explanation:

you get your 3 equations from the diagram above which as 3 triangles in it using pythagoras theorem

Answer 2

The values are:

x = 26.83

y = 12

z = 13.42

What is Pythagoras Theorem?

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

z² = y² + 6²........(1)

x² = y² + 24².....(2)

30² = z² + x²......(3)

Now, put the value from equation (1) and (2) in equation (3)

30² = ( y² + 6²)  + (y² + 24²)

900 = y² + 36 + y² + 576

900 = 2y² + 612

2y²  = 900 - 612

2y² = 288

y²  = 144

y= √144

y = 12

So, z² = y² + 6²

z² = 144 + 36

z² = 180

z = 13.42

and, x² = y² + 24²

x² = 144 + 576

x² = 720

x = 26.83

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Related Questions

what is 220% of 15? ............

Answers

Answer:

33

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer: 33

Step-by-step explanation: Write 220% as 220/100

Finding the fraction of a number is same as multiplying the fraction with the number 220/100 of 15

220/100 x 15

Therefore, the answer is 33

I need 4 1/2 teaspoons of butter but i only have 1/8 measuring cup how many 1/8 of butter do i need?

Answers

Answer:

2 1/2

Step-by-step explanation:

Answer:

36 cups

Step-by-step explanation:

You only have ⅛ measuring cup. Now, since you need 4½ teaspoons of butter, the number of ⅛ measuring cups needed to achieve that will be;

4½ ÷ ⅛ = 9/2 × 8/1 = 36 cups

Thus, you will need 36 number of ⅛ cups

Ana walked 13/3 miles. How many whole miles did ana walk?What portion of an additional mile did she walk

Answers

Answer: 4 whole miles and 1/3 of an additional mile

Step-by-step explanation:

13/3=4 1/3

Answer:

4 whole miles and 1/3 of an additional mile

Step-by-step explanation:

13\3=4 1\3

1) A triangular prism has a base measuring 8 inches and a side measuring 5
inches. It has a depth of 3 inches. What is the volume?*
O
40 cubic inches
O 20 cubic inches
O 24 cubic inches
60 cubic inches

Answers

Answer:

24 cubic inches

Step-by-step explanation:

Whenever you are finding the volume you have to multiply by two plus a number times two. For example, since there is two depths, you have to multiply 3 by 2 plus the next number. Then, since there is two sides, you multiply 5 by 2 plus the next number. Finally, since there is only one base, you don't have to multiply by two.

(3×2)+(5×2)+8=24

Hope I explained well enough for you to understand.

Use the symmetric property of equality to complete the statement: If m∠1 = m∠2, then _______. * please answer FAST!!!

Answers

Measure of angle 2= measure of angle 1

What are the solutions to the equation?
4x3 = 36x
Enter your answers in the boxes.
X=
or x =
or X

Answers

Step-by-step explanation:

4x³ = 36x

4x³ - 36x = 0

4x(x² - 9) = 0

4x(x + 3)(x - 3) = 0

Hence x = 0, x = -3 or x = 3.

Please help me with my homework this is 5th grade work btw

Answers

Answer:

21

Step-by-step explanation:

Can I have brainliest:)

Answer:

7 x 24

8 x 1

=

168/8= 21

−4x−24x+24=10(12−2x) explain how you sloved it...i rllly need this!!!!​

Answers

Answer:

x=-12

Step-by-step explanation:

first collect all the like terms -28x + 24 = 120-20x

then move variables and constants to the correct side -28x + 20x = 120-24

collect like terms again -8x = 96

divide both side by -8 so -8x/-x n 96/-8 you get x=-12 bc -8 time -12 = 96

Answer:

x = -12

Step-by-step explanation:

First, combine like terms

[tex]-4x-24x+24 = 10(12-2x)\\-28x+24 = 10(12-2x)[/tex]

Then, use the distributive property on the right side

[tex]-28x + 24 = 120 - 20x[/tex]

Now, add 28x to both sides to get the Xs all together

[tex]24 = 120 + 8x[/tex]

Next, subtract 120 from both sides:

[tex]-96 = 8x[/tex]

divide both sides by 8:

[tex]-12 = x[/tex]

This means the answer is x = -12

answers for the 2 boxes :)​

Answers

Step-by-step explanation:

Given

y = 2x + 1 .....i)

y = 3x +2 .....ii)

Putting equation II in equation i

3x + 2 = 2x + 1

3x - 2x = 1 - 2

x = -1

Now putting x = -1 in equation i

y = 2* (-1) + 1

= -2 + 1

= - 1

Therefore x = -1 and y = -1

Hope it will help :)

Laptops that sell for $660 are on sale with a percent discount of 7%. Find the sale price. Round your answer to the nearest cent, if necessary

Answers

Answer:

$613.80

Step-by-step explanation:

7% of 660 = 0.07 × 660 = 46.2

660 - 46.2 = 613.80

The sum of the measures of three adjacent angles is 150' The measures of the angles are in the ratio of 1:2:3. What is the measure, in degrees of the
largest angle?
The measure of the largest angle is
degrees

Answers

Answer:

It is a 30, 60, 90 triangle.

Step-by-step explanation:

Hence, the measure of the largest angle is degrees is [tex]5[/tex] degree, [tex]10[/tex] degree and [tex]15[/tex] degree and the largest angle is  [tex]15[/tex] degree.

What are the angles?

Angles are formed by two rays (or lines) that begin at the same point or share the same endpoint. The point at which the two rays meet (intersect) is called the vertex.

Here given that,

The sum of the measures of three adjacent angles is [tex]150[/tex] degree. The measures of the angles are in the ratio of [tex]1:2:3.[/tex]

Let one angle is [tex]x[/tex], second is [tex]2x[/tex] and the thirs one is [tex]3x[/tex].

As given that the sum of three angles is [tex]150[/tex] degree but we know that the sum of three angles is [tex]180[/tex] degree then,

[tex]x+2x+3x=180-150\\\\x+2x+3x=30\\\\6x=30\\\\x=\frac{30}{6}\\\\x=5[/tex]

when

[tex]x=5\\\\2x=2(5)\\\\2x=10[/tex]

when

[tex]x=5\\\\3x=3(5)\\\\3x=15[/tex]

Hence, the measure of the largest angle is degrees is [tex]5[/tex] degree, [tex]10[/tex] degree and [tex]15[/tex] degree and the largest angle is  [tex]15[/tex] degree.

To know more about the angles

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6 identical toys weigh 1.8 kg.
a)
Convert 1.8 kg to grams.
b)
What is the weight of one toy?
Give your answer in grams.
c)
How much would 4 toys weigh?
Give your answer in kilograms.​


please help quick

Answers

Step-by-step explanation:

a)1.8kg=1.8*1000=1800g

b)6toys=1800

1toy=300g

c)4toys=4*300=1200g=1.2kg

Joe is shown 3 cards marked 2, 5 and 9, he selects these in random order, to give a three digit score. what is the sum of all possible scores?

Answers

Step-by-step explanation:

we have to wrote down all the possible 3digit numbers and calculatevtheir sum

259+295+529+592+925+

952=3552

(the digits cant be repeated because they are written on cards only once)

The sum of all possible scores  3552.

What is probability?

Probability is the measure of the likelihood that an event will occur in a Random Experiment. Probability is quantified as a number between 0 and 1, where, loosely speaking, 0 indicates impossibility and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur.

Given:

Joe is shown 3 cards marked 2, 5 and 9.

we have write all the possible 3digit numbers

First taking 2 at hundred place value

259

295

Now, taking 5 at hundred place value

529

592

Now, taking 9 at hundred place value

925

952

Now, add the above 3 digit numbers

=259+295+529+592+925+952

= 3552

Hence, the sum of all possible scores  3552.

Learn more about probability here:

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The area of a regular hexagon inscribed in a circle with radius 2 is_____ . Round your answer to the nearest tenth.

Answers

Answer:

4

Step-by-step explanation:

Formula for area of hexagon is ((3*square-root 3)/2)*a^2.

Determine whether the equation below has a one solutions, no solutions, or an
infinite number of solutions. Afterwards, determine two values of x that support your
conclusion
2 + 6 = 9
The equation has infinite solutions
A value of x that makes the equation true is
3
which when substituted into the
equation and simplified makes the equation turn into
х
3
Another value of x that makes the equation true is -15 , which when substituted
into the equation and simplified makes the equation turn into 3
= - 15

Answers

That answer is 686 just trying to get point a sass

Whats the surface area?

Answers

Answer:

Total Area = 1070 m^2

Step-by-step explanation:

we have 4 different surfaces

the "ramp" the triangles (2) one for each sidethe bottom rectanglethe back rectangle

1. the ramp

[tex]A_r = 15\times 30\\\\A_r = 450[/tex]

2. the triangles

since they are the same we just multiply by two

[tex]A_t = \frac{8\times 10}{2}\\\\A_t = \frac{80}{2}\\\\A_t = 40[/tex]

so the areas of the two triangles is

[tex]2A_t = 2(40)\\\\2A_t = 80[/tex]

3. the bottom rectangle

[tex]A_{bot} = 10\times 30\\\\A_{bot} = 300[/tex]

4. the back rectangle

[tex]A_{back} = 8\times 30\\\\A_{back} = 240[/tex]

now add them together

[tex]A_T=A_r+2A_t+A_{bot}+A_{back}\\\\A_T = 450+80+300+240\\\\A_T = 1070\: m^2[/tex]

hii pls help i’ll give you brainliest if you give a correct answer.

Answers

Answer:

1. 19.375 inches taller

2. 8.808 km farther

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.19.375

2.8.808

for the reasoning you just show that you subtracted

Reasoning How would the graph of y = - 3x + 2 change if - 3 were replaced by 4? How would it change if were replaced by 0? Explain.

Answers

Answer:

Please check the attached diagram.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the rate of change or slopeb is the y-intercept

Analysis of y = - 3x + 2

Given the linear function

y = - 3x + 2

comparing with the slope-intercept form y = mx+b

The slope m = -3

The negative slope indicates that as the line on the line graph moves from left to right, the line falls.

In other words, the negative slope indicates that when x increases, y decrease, and vise versa.

Please check the attached graph of the function y = - 3x + 2. It is clear that when x increases, y decreases, hence the line falls when the graph of the line moves from left to right.

The red line graph represents the linear function y = - 3x + 2.

Analysis of y = 4x + 2   (When -3 is replaced by 4)

Now, when we replace -3 by 4 in the equation y = - 3x + 2, the equation becomes

y = 4x + 2

comparing with the slope-intercept form y = mx+b

The slope m = 4

The positive slope indicates that as the line on the line graph moves from left to right, the line rises.

In other words, the positive slope indicates that when x increases, y also increases, and vise versa.

Please check the attached graph of the function y = 4x + 2. It is clear that when x increases, y increases, hence the line rises when the graph of the line moves from left to right.

The blue line graph represents the linear function y = 4x + 2.

Analysis of y = 2   (When -3 is replaced by 0)

Given the equation

y = - 3x + 2

If we replace -3 by 0, the equation becomes

y = 0x + 2

y = 2

In other words, y = 2 represents a horizontal line because the horizontal line is of the form

y = k

where k is the y-intercept

here k = 2 is the y-intercept of the line y = 2.

Thus, slope zero means the value of y does not change no matter what we take or change the x-value.

The graph of line y = 2 is also attached which represents a horizontal line with slope 0 and y-intercept 2.

The green line graph represents the linear function y = 2.

Please check the graphs of all the lines.

solve: 9-5(9x +2) = -6

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x  =  1 /9

Decimal Form:

x  =  0. 1111111111111111111111111

Hope this helps! Have a great day!

You are trying to decide whether to use Uber or Lyft during a vacation. Uber charges $3 to pick up plus an additional $0.25 for each mile driven. Lyft does not charge to pick up but they have a rate of $0.75 for each mile driven.

Let x = the number of miles traveled and y = the total cost for the trip.

Will the cost of the two companies ever be the same? If so, at how many miles and what is that cost? If not, explain your reasoning. Show all work that leads to your answer.

Answers

Answer:

6 Miles and the cost is $4.50

Step-by-step explanation:

3+0.25=0.75x

3+0.50x

6=x

0.75x+?

0.75 x 6= 4.50

Given that
P
=
7
x
+
20

2
y
.
Find
P
when:
x
=
7
and
y
=
10

Answers

Answer:

49 2 will be the answer

Step-by-step explanation:

when will u send me request in fb

Answer:

p = 49

hope it's helpful ❤❤❤❤❤

THANK YOU.

Determine the inverse of the following.
y =- log(x - 1) + 2

Answers

Answer:

[tex]f^{-1}[/tex](x)=[tex]10^{-x+2}[/tex]+1

Step-by-step explanation:

Solve each equation mentally: J + 7 = 13

Answers

Answer:

j=6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

13-7=6

Multiply: (7y^3/5)(6x+5/21y)

Answers

Answer:

y²(6x+5)/15

Step-by-step explanation:

We are to multiply the expression (7y^3/5)(6x+5/21y)

(7y^3/5)(6x+5/21y) = 7 * y * y * y/5 * 6x+5/21y

(7y^3/5)(6x+5/21y)  = y²/5 * 6x+5/3

(7y^3/5)(6x+5/21y) = y²(6x+5)/5*3

(7y^3/5)(6x+5/21y) = y²(6x+5)/15

Hence the product is y²(6x+5)/15

Answer:

the correct answer would be d

Step-by-step explanation:

just took the test

hurry up
for 10 points

Answers

Answer:

it's 20m² I think or it's 28m²

Plz help me with this Im timed will mark as brainliest

Answers

Answer:

It seems like John is trying to find the mean, or average.

Green is 82

blue is 320

red is 4

Step-by-step explanation:

82 is the score John must get to have the average of 80

320 is the number you must divide by 4 to get 80

Sara's family traveled 5 7 of the distance to her grandfather's house on Saturday. They traveled 1 2 of the remaining distance on Sunday. What fraction of the total distance to her grandfather's house was traveled on Sunday?

Answers

Answer:1/7

Step-by-step explanation:2/7 is the remainder of the leftover 5/7. Half of 2 is one, leaving u with 1/7.

will give brainlest!Solve the triangle, Round answers to the nearest tenth.

Answers

Answer:

C

Step-by-step explanation:

Answer:

Angle B should be 37°

Step-by-step explanation:

All i fugured out was the angle measure, which should be 90+53=143 and 180-143=37°, I’m just not sure what the other stuff means/needs.

Please help... Im desperate... will give brainliest

Answers

I’d say 10 or 11 but I’m not 100%
100 or 11 that’s the answer hope this help

Help me please i need help

Answers

Answer:

The table is proportional all throughout the numbers except for the ratio 6:16

The ratio 6:16 should be 6:18

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The seniors at three high schools were surveyed about their plans after graduation. The following table shows the responses, classified by high school.WorkMilitaryCollegeUndecidedTotalHigh School A994913863349622615654298SubHigh School BHigh SchoolTotal833112471309244106418188956One senior from the high schools will be selected at random. What is the probability that the senior selected will not be from High School B given that the seniorresponded with a choice other than college? Ill pay for whoever gets this right 10 dollars (if right) please help!! find n and o. i will give brainliest and 40 points!! Evaluate. Write your answer as a fraction or whole number without exponents 2^-4 Pls help me Solve this 3 questions. ASAP *Angles God delivered the people of Israel from the bondage of Egypt by raising up a leader, moses abraham aaron PLEASE HELP!!!!!!The Cherokee from which state, fought back, taking their case to the Supreme Court, twice, to fight removal from their native land. (They called themselves the "Cherokee Nation.")? A.) Tennessee B.) Georgia C.) Alabama D.)North Carolina helpppp please :) dtchdtgddxxdcrvtgh Compare and contrast Direct Democracy and Representative Democracy Please help me with acellus how does this topic reinforce or change your belief about the application of math to your daily life Someone please help me and thank you Which word or phrase should be deleted to avoid redundancy? Everyone who attends the grand opening celebration will receive a free gift. aattends bfree cgift dgrand The Southeast region of the United States has a longer growing season than the Northeast because of itsA) climate. B) landforms. C) resources. D) weather. CompletarFill in the blanks with the preterite form of the appropriateverbs.Yo (5)un regalo para Julin. (traer, estar)(5) trajeTrueFalse Which word or phrase best clarifies the relationship between the claim and the evidence?School should have a later starting time for several reasons. ________, this change would improve both student health and academic performance by allowing students to get a decent night's sleep.A.My best reasonB.LiterallyC.Most importantlyD.For argument's sake what is the fall line, and how does it affect human activity? PLEASE HELP . Will give brainliest to most correct answer.The graph below shows the results of a laboratory investigation which measured the body temperatures of a lizard and a bird under changing artificial conditions. Use it to answer the question.Which of the statements below is valid?A. The bird's blood was always warmer than that of the lizardB. The body temperature of the bird varied less than that of the lizard during changes in environmental temperatureC. The body temperature of the bird remained constant despite changes in environmental temperatureD. The body temperature of the lizard was always close to that of the environmental temperature Assume that automobile accidents at a dangerous intersection occur according to a Poisson process at the rate of 3 accidents per week. Furthermore, the num- ber of people seriously injured in an accident has a Poisson distribution with mean 2 and is independent of the other accidents. Find the mean and standard deviation of the number of serious injuries over a one year's time. Please help will give brainliest