Find the values of the variables in each right triangle.​

Find The Values Of The Variables In Each Right Triangle.

Answers

Answer 1

Answer:

x = 12

y = 16

Step-by-step explanation:

Use the Pythagoras Theorem on the left triangle.

[tex](Hypotenuse)2=(Base)^2+(Perpendicular)^2\\(x)^2=(7.2)^2+(9.6)^2\\x^2=51.84+92.16\\x^2=144\\x=\sqrt{144}\\x=12\\[/tex]

Now use the Pythagoras Theorem on the right triangle.

[tex](Hypotenuse)2=(Base)^2+(Perpendicular)^2\\(y)^2=(12.8)^2+(9.6)^2\\y^2=163.84+92.16\\y^2=256\\y=\sqrt{256}\\y=16\\[/tex]


Related Questions

Which number line shows the correct placement of 20%, 1/3
and 2/3?

Answers

Answer:

the answer is option A why because its basiclly telling us that 1/3 and 2/3 are close to each other and they need to find the percent on how to get to the whole number in this case is 1

Step-by-step explanation:

Answer  A you welcome

an old movie theater

Answers

Answer: ummmmmm bow tie cinamas

Step-by-step explanation: yw:))

HELP NOW!!!! thx :DDDD

Answers

Answer:

the second one

Step-by-step explanation:

Answer:

Answer A

Step-by-step explanation:

3 parts ginger ale to 2 parts raspberry juice

An equilateral triangle has a side length of 1.4x + 2 inches. A regular hexagon has a side length of 0.5x + 2 inches. The perimeters are equal. What is the side length of the triangle? What is the side length of the hexagon? Show your work.

Answers

Answer:

9 inches; 4.5 inches.

Step-by-step explanation:

Given the following data;

Length of sides of the equilateral triangle = 1.4x + 2 inches.

Length of sides of the hexagon = 0.5x + 2 inches.

We know that the perimeter of a hexagon is given by the formula;

P = 6 * length of sides

Substituting into the equation, we have;

P = 6*(0.5x + 2)

P = 3x + 12

Perimeter of an equilateral triangle is given by the formula;

P = 3 * length of sides

Substituting into the equation, we have;

P = 3(1.4x + 2)

P = 4.2x + 6

Since perimeter of hexagon = perimeter of equilateral triangle. Therefore;

3x + 12 = 4.2x + 6

Rearranging the equation, we have;

12 - 6 = 4.2x - 3x

6 = 1.2x

x = 6/1.2

x = 5

I. To find the length of each sides of the equilateral triangle;

Length of a side = 1.4x + 2

Substituting the value of "x" into the equation, we have;

Length of sides = 1.4*(5) + 2

Length of sides = 7 + 2

Length of sides = 9 inches.

II. To find the length of each sides of the hexagon;

Length of sides = 0.5x + 2

Substituting the value of "x" into the equation, we have;

Length of sides = 0.5*(5) + 2

Length of sides = 2.5 + 2

Length of sides = 4.5 inches.

The side length of the equilateral triangle 9 inches.

The side length of the hexagon 4.5 inches.

The side length of the equilateral triangle = 1.4x + 2

So, the perimeter = 3(1.4x + 2) = 4.2x + 6.

The side length of the hexagon = 0.5x + 2

So, the perimeter = 6(0.5x + 2) = 3x + 12.

Given tha the perimeters are equal.

So,

[tex]4.2x+6=3x+12\\4.2x-3x=12-6\\1.2x=6\\x=5[/tex]

Hence,

The side length of the equilateral triangle = 1.4x + 2 = 1.4(5) + 2 = 9

The side length of the hexagon = 0.5x + 2 = 0.5(5) + 2 = 4.5

Learn more: https://brainly.com/question/13532036

Is chewing gum independent of having a cavity filled recently?

A.

B.

C.

D.

Answers

Answer:

did you figure out the answer I'm sorry they don't have a comment section on ur photo

Answer:

P(Gum) ≠ P(Gum/Cavity)

Step-by-step explanation:

Answer on Edge

Need answer ASAP ROCKY!!
The triangle with vertices at L (-2,5), E ( 1,4), and D(2,-2) is 4 units left, 3 units up, and then reflected over the line y=4 to form the image L'E'D. Which vertex of the image is the greatest distance from the origin?

Answers

Answer:

L'(6,8)

Step-by-step explanation:

If i had to take a guess what i would is subtract 4 from each x number and add 3 to each y number and then reflect over the line y=4 so then that would give me each distance. And by the looks it seems L'(6,8) is the farthest from he origin (0,0)

Figure A is a scale image of figure B. Figure A maps to figure B with a scale factor of 3
What is the value of x? PLEASE ANSWER ASAP!!

Answers

Answer:

...........................................................

Step-by-step explanation:

I GIVE BRAINLIEST!!

helpp >.< and your explain steps please !

Answers

Answer:

112p^2 -224p + 4

Step-by-step explanation:

16(p-2)(7p) + 4

Distributive property.

Use Foil

Multiply the: First, outside, inside, last

112p^2 -224p + 4

Answer:

112p^2 - 160p -128

Step-by-step explanation:

1) Look at the equation as a multiplication of 3 parts:

16 * ( p -2) * (7p + 4)

2) Multiply 16 with (p-2) = 16p - 32

3) Multiply  16p - 32 with (7p + 4) = 112p^2 + 64p - 224p - 128

4) Simplify: 112p^2 - 160p -128

what can graphs involving constant rate be used for

Answers

the constant will always move in a straight path and will be at a constant rate.


2/3x24 = 16
Write a situation for this equation and draw a picture that goes with it

Answers

Answer:

16

Step-by-step explanation:

2/3×24=16

2/1×8=16

Assuming all model requirements for conducting the appropriate procedure have been​ satisfied, is the mean IQ of the students in the​ professor's statistics class higher than that of the general​ population, 100? Explain what statistical procedure should be used for this research objective.

Answers

Answer:

Step-by-step explanation:

The right statistical procedure is by applying a hypothesis test that uses a single mean. Here, if we are to talk about comparison, it should be between the mean IQ of the students in the class and the national average IQ. The class is not for a comparison between two population means because it is viewed as the sample of the population. That is to say, the required task is to determine if the sample mean is greater than the population mean. We can conclude that this obeys a hypothesis test rather than a confidence interval.

PLEASE HELP WILL GIVE 50 POINTS

Write an equation for a line perpendicular to f(x)=5x−1 and passing through the point (5,20).

Answers

Answer:

f(x)=-5x+1

Step-by-step explanation:

I hope this answer works for you!. but I am not completely confident in it.

Jason drove 110 miles in 2 3/4hours. What was Jason’s speed in miles per hour?

Answers

Answer: His MPH is 40

Step-by-step explanation: 100/2.75 = 40. Converting the fraction to decimal form makes this problem much easier.

partial quotient for 654 divided by 3

Answers

654 over 3 = divide the both 654 and 3 by 3.

It will give you 218 over 1.

So the answer is 218.

HELP!!! Is this the expanded form of a number? 40*1000+7*10. If yes, What is it?

Answers

Answer:

40070

Step-by-step explanation:

What’s quadratic equation

Answers

Answer:

In algebra, a quadratic equation (from the Latin quadratus for "square") is any equation that can be rearranged in standard form as ax^2+bx+c-0 where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a .0, then the equation is linear, not quadratic, as there is no ax^2 term. The numbers a, b, and c are the coefficients of the equation and may be distinguished by calling them, respectively, the quadratic coefficient, the linear coefficient and the constant or free term.

Step-by-step explanation:

Good Question I just had a class about it 10 minutes ago such a coincidence! :)

Answer:

ax^2+bx+c=0

Explanation:

This is the typical style of a quadratic equation to be in. The only varieties there would be within the pronumerals used.

Please Help

I Keep asking if someone can help me with this and no one actually helped me, please help!
This is the Second day that I have been asking about this!

Answers

9514 1404 393

Answer:

  m∠ABC = 81°

  m∠FEC = 90°

Step-by-step explanation:

The median BE of isosceles triangle ABC is also an altitude and the angle bisector of ∠ABC. This means ...

  m∠ABC = 2×m∠ABE = 2(40°30')

  m∠ABC = 81°

It also means that all of the angles at the intersection of BF and AC are right angles, so ...

  m∠FEC = 90°

F(x)=43

f(x)=-6×+7

Not sure how to get the answer wondering if someone can break it down for me please

Answers

set them equal to eachother to solve for x
43=-6x+7
36=-6x
-6=x

Step-by-step explanation:

Since f(x) is 43 you would replace it for the f(x) in the bottom equation like this 43=-6×+7 then you would multiply the left side so now it would be 43=-42 and this a no solution.

What is- If x = 5 find the value of (x + 3)2

Answers

x=5 we’ve settled that. now all you have to do is pemdas.
P: (Parentheses)
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction

1.) replace x as 5 so it looks like this:
(5+3)2

2.) solve inside parentheses.
(8)2

3.) 8x2=16

ANSWER: (x+3)2 = 16

and you can check that!

Have a lovely day and mark me brainliest please.

What is the value of 2cos2(105⁰) − 1?

Answers

Step-by-step explanation:

-1 - root3

The value of the given expression 2cos2(105⁰) − 1 is,

⇒ - 1 - √3

What is trigonometric functions?

A right-angled triangle's angle can be related to side length ratios using trigonometric functions, which are real functions in mathematics. They are extensively used in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many others.

We have to find the value of;

⇒ 2cos2(105⁰) − 1

Now, We can Plug 105° = θ

So, the expression becomes,

⇒ 2cos2θ - 1

Using the formula;

cos2θ = 1 - 2sin^2θ

We get;

⇒ 2cos2θ - 1 = 2(1-2sin^2θ) - 1

                    = 2 - 4sin^2θ - 1

⇒ 2cos2θ - 1 = 1 - 4sin^2θ

Now, Again plug θ = 105°

⇒ 2cos2(105°) - 1  = 1 - 4sin¹⁰⁵

⇒ 2cos2(105°) - 1  = -1 - √3

Hence, The value of the given expression is,

⇒ (-1 - √3)

Learn more about trigonometric function visit:

brainly.com/question/1143565

#SPJ3

Liang has a goal of walking at least 18 miles. She walks at a rate of 4 miles per hour. Which inequality can liang use to find h, the number of hours she should walk in order to meet or exceed her goal

Answers

Answer:

t ≤ 4.5

Step-by-step explanation:

We are told that the goal is to walk at least 18 miles

She walks at a rate of 4 miles per hour, speed is 4mph

Required

the inequality for the time taken to walk the distance and the said speed

Step two:

we know that

speed= distance/time

time=distance/speed

substitute

time= 18/4

time= 4.5 hours

Time≤ 4.5 hours

Solve these following equations

A.3÷25.50=
B. 8÷1.624=
C.7 ÷21.56=
D.5 ÷1.005


Answers

A:2/17
B:1000/203
C:25/77
D:1000/201

2x + 2y = 4 -x+ 2y = 4​

Answers

Answer:

x = 0, y = 2

Step-by-step explanation:

We can use substitution method to substitute 2y into 2x + 2y = 4.

-x + 2y = 4

2y = 4 + x --- Equation 1

2x + 2y = 4 --- Equation 2

Substitute Equation 1 into Equation 2:

2x + 2y = 4

2x + 4 + x = 4

3x + 4 = 4

Isolate 3x.

3x = 4-4

    = 0

Find x.

x = 0 ÷ 3

x = 0

Substitute x = 0 into Equation 1:

2y = 4 + x

2y = 4 + 0

    = 4

Find y.

y = 4 ÷ 2

y = 2

The answer is Y=2 I’m pretty sure

Mac uses 3.5 liters of water with 4
lemons to make lemonade. How many
lemons are needed if Mac uses 7 liters of
water to make lemonade?

Answers

Answer:

if I'm correct, it should be 6.125. I'm sorry if I'm wrong,

Step-by-step explanation:

take 3.5 and divide it by 4, which gives you the amount for 1 lemon. times that by 7, and you get 6.125

Answer:

8 lemons

Step-by-step explanation:

7- 3.5= 3.5

Therefore we multiple 3.5 by 2.

We always do the same on the other side.

4 times 2 equals 8

7 liters of water: 8 lemons

Carpet costs $7.84 per yard. What is the cost of 21.5 yards?

Answers

Answer:

$168.56

Step-by-step explanation:

Answer:168.56

Step-by-step explanation:

A jar contains 900 beans. Of all the beans 2/3 are azuki beans and the rest are Lima beans. What is the ratio of azuki beans to Lima beans

Answers

Answer:

2:1

Step-by-step explanation:

There are 600 azuki beans and 300 Lima beans.  600/300 simplified is 2:1 :DD

Answer: beans

Step-by-step explanation: first you need to read the question and then type beans.

Find the maximum value of the function
f(x) = –22 – 15.9x – 57 to the nearest hundredth.

Answers

8 fishi i ndrysheses se nje numrime 7

A rectangular building with a square base is being designed to minimize heat loss. The building designers state that the volume of the building must be exactly 4000 m^3. Write an equation for y, the height of the building, in terms of x, the length and width of the base.

Answers

Answer:

y = 4000/x²

Step-by-step explanation:

The volume of the building is expressed as;

V = x²y where;

x is the length and width of the base.

y is the height of the building

Given

Volume V = 4000m³

Substitute the given volume into the equation as shown;

4000 = x²y

Make y the subject of the formula by dividing both sides by x²

4000/x² = x²y/x²

4000/x² = y

Rearrange

y = 4000/x²

Hence equation for y, the height of the building, in terms of x, the length and width of the base is expressed as y = 4000/x²

A survey asked 200 students to name their favorite fruit. The table shows the results of the survey. How many more students chose peaches compared to oranges as their favorite fruit? Explain your thinking.

Answers

Answer:

Without seeing the table I can't answer the question

Step-by-step explanation:

But if you take the number of Peaches and subtrqact the number of oranges will have your answer.

Does anyone know the answer to this question

Answers

The answer is B.16! all you have to do is take 1.19 and multiply it by 16 to get under 20 (16•1.19=19.04):)
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