the legs of a right triangle are 75 and 100. what is the length of the hypotenuse

Answers

Answer 1

Hey there! I'm happy to help!

To find the hypotenuse of a right triangle given two legs, you use the Pythagorean Theorem.

a²+b²=c², where a and b are the legs and c is the hypotenuse.

Let's plug our values into the equation and solve for c (our hypotenuse).

75²+100²=c²

Square the numbers

5625+10000=c²

Add them

c²=25625

Square root both sides

c=125

Have a wonderful day and keep on learning! :D


Related Questions

a different way of proving the angle sum of a triangle is to use diagram

Answers

a.yes

Step-by-step explanation:

a.angle BCD =b because angle BCD is alternate angle of angle ABC

b.the two angles angle BAC and angle ACD is co-interior angle because they are inside a parallel line

Order the numbers in each group from least to greatest 7/11, 0.63 and 0.636

Answers

7/11 , 0.636, and 0.63

Hope this helps

Answer:

Least to Greatest

7/11 ,  0.636,  0.63

Step-by-step explanation:

7/11 = 0.6363636363636364

so this number is least

Like what is this and how do you do it please explain clearly and understandable

Answers

Answer:

1/4

Step-by-step explanation:

HT represent the probability of tossing a head then Tail.

There is 4 possible results and only 1 give us HT.

We call this theoretical probability. which is

[tex] \frac{x}{y} [/tex]

where x is favorable outcomes and y is total number of outcomes.

So there is a 1/4 probability of getting a head followed by a tail.

Explanation: When you toss two coins, the possible outcomes can be:

1) A head followed by a head.
2) A head followed by a tail.
3) A tail followed by a head.
4) A tail followed by a tail.

Therefore,
Total possible outcomes = 4

Now, the given condition is a head followed by a tail. In the possible outcomes there is only one (i.e; 2) that satisfies this condition.

Therefore, outcome of getting head followed by tail = 1

Finally,
P(getting head followed by tail) = outcome of getting head followed by tail / Total possible outcome.

Which is 1/4.

Hope this helps.

Aisha wants to paint the wall of the room. She knows that each can of the paint contain one gallon. A half gallon will completetly cover a 55 square feet of wall. Each of the four wall of the room is 10 feet high. Two of the walls are 10 feet wide and two of the walls are 15 ft wide. How many one gallons buckets of paint does aisha need to buyin order to paint the room ?

Answers

Answer:

It doesn't say what to do with that 0.1 of a gallon. I would buy another gallon or dilute what I had so it came to exactly 9.1 gallons. In math, I suppose the answer is 9.

In reality it would be 10.

You have to choose.  What has been done with other questions like this.

Step-by-step explanation:

1 can covers 55 square feet.

h = 10

w1 = 10 feet

w2 = 10 feet

w3 = 15 feet

w4 = 15 feet

Total area = Area of wall 1 + wall 2 + wall 3 + wall 4

Total area = 10*10 + 10*10 + 10*15 + 10* 15

Total area = 100  + 100 + 150 + 150

Total area = 500  feet^2

1 gallon / 55 ft^2 = x / 500 ft^2          Cross multiply

55 * x = 500                                       Divide by 55

x = 500/55

x = 9.1 gallons.

In real life you would buy another gallon.

Write -0.450 as a fraction in simplest form.

Answers

Answer:

-0.450 as a fraction is -9/20

Step-by-step explanation:

Since there 3 decimal places, divide it by 1000

-450/1000 and simplify it

Lesson 1 Practice Problems

Answers

Taking into account the original image that appears in the attached document and verifying the correct solution in each case:

1. The figures that are scaled copies of the original are:

Figure 2Figure 4

2. I'm not agree with Tyler's affirmation.

SCALING FIGURES.

When you must scale figures, you must remind the scale must be applied in all dimensions of the figure, when a figure is in two dimensions, I mean, the figure has height and length, the scale must be applied to this two dimensions, and the figure must the same form of the original to be a scaled copy.

In the first exercise, the original A is a figure with two squares of height and two squares of length 2x2, by this reason, each scaled copy must be the same height as length (1x1, 3x3, 4x4, 5x5, 6x6 and others).

As you can see, the figure 2 has 4 units of height and 4 units of length 4x4, it's a scaled copy, the figure 4 has 1 unit of height and 1 units of length 1x1, it's a scaled copy, but the figure 1 has 3 units of height and 2 units of length 3x2, it's not a scaled copy, and the figure 3 hasn't the same form of the original A, by this, it's not a scaled copy.

In the second exercise, you can´t agree with Tyler because the figure B is the half of the figure A, but just in the height, remember this must be the same in the length to obtain a correct scaled copy, you can see in the exercise, the figure B has the same length as the figure A, by this reason, the affirmation of Tyler is wrong, for that to be true, the height and the length should be half in the figure B.

You can see other exercises with scales in the next links:

https://brainly.com/question/22384038?referrer=searchResults

https://brainly.com/question/21605248?referrer=searchResults

What is the equation of a line with a y-intercept at (0, 6) and a slope of 3? y = 3x + 6 y = 6x + 3 y = 3x − 6 y = −6x − 3

Answers

Answer:

[tex]y=3x+6[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)

We're given that the slope of the line is 3. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=3x+b[/tex]

We're also given the point (0,6). Since the y-intercept occurs when x=0, the y-intercept is therefore 6. Plug this into [tex]y=3x+b[/tex] as b:

[tex]y=3x+6[/tex]

I hope this helps!

Find the equation of the line that is perpendicular to y=1/6x+3 and contains the point (-3,23)

Answers

It would be 1/6x+3(-3,23)

Cheena has 3/4 yard of fabric. She cuts the fabric into pieces that are each 1/8yardlong. How many pieces of fabric does cheena have

Answers

Answer:

Cheena has 6 pieces of fabric.

Step-by-step explanation:

3/4 yard of fabric also means 6/8 yard of fabric.

(6/8) / (1/8) = 6

Or

6/8 yard = 6  1/8 yard pieces

pls ans the question step by step
then i wil mark it as brainlist ans​

Answers

Answer:

i hope it helped U

stay safe stay happy

what is the radius of 16 cm simplest form?

Answers

If the 16 cm is the diameter then the radius is 8 cm

how do you solve 3-(-7)?​

Answers

Answer:

10

Step-by-step explanation:

Subtracting a negative is like adding

3 +7

10

4. Find the quotient. -7 ÷ 14/3​

Answers

As an improper fraction this is equal to -3/2

As a mixed number, this is -1 and 1/2

As a decimal this is -1.5
as a Improper fraction that is equal to
-3/2
As a mixed number this is -1 1/2
as a decimal this is - 1.5

Find the distance between the ponits.
(-3, -6) and (3, x6)

Help please

Answers

Step-by-step explanation:

Hey there!

The given points are: (-3,-6) and (3,-6).

x 1 = -3 y1 = -6

x 2 = 3 y2 = -6

Use distance formula;

[tex]d = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]

Keep all the values;

[tex]d = \sqrt{( {3 - ( - 3))}^{2} + ( { - 6 - ( - 6))}^{2} } [/tex]

Simplify:

[tex]d = \sqrt{ {(6)}^{2} + {( - 6 + 6)}^{2} } [/tex]

[tex]d = \sqrt{ {(6)}^{2} } [/tex]

Therefore, the distance is 6 units.

Hope it helps!

Please answer ASAP attached photo below

Answers

Answer : x = 9

Explanation :

110 + 3x + 11 = 16x + 4
3x + 121 = 16x + 4
-13x = -117
x = -117/-13
x = 9

Hi! I'm happy to help!

For our equation, we need to find out what our two smaller equations are.

We can see that angle HGF is our largest angle, and it is composed of EGF, and HGE. We can insert our values into an equation to solve:

16x+4=110+3x+11

We can then combine like terms:

16x+4=121+3x

To solve for x, we need to put it by itself on one side of the equation. So, let's subtract 4 from both sides:

16x=117+3x

Now, let's subtract 3x from both sides:

13x=117

Now, let's divide both sides by 13 to solve for x:

x=9

Now, we know that x=9.

I hope this was helpful, keep learning! :D


-(-5.6g + 2h – 9)
Does anyone know this ?

Answers

Answer:  5.6g - 2h + 9

Explanation:

Flip the sign of each term inside the parenthesis.

The -5.6g becomes +5.6g or simply 5.6gThe +2h becomes -2hThe -9 becomes +9

These sign flips occur because of the negative out front the parenthesis. It's the same as having -1 outside, and we distribute the -1 through.

28+12
—————
13-5
7th Grade Math Book (McGraw-Hill) page 9 exercise 26

Answers

28+12 is 40 and 13-5 is 8 !!
Dndkdkzkckkocosososjdjdkckcx

Terminating Decimal between .5 and .6

Answers

A terminating decimal is a number with a finite number of decimals that does not continue endlessly. We'd like to know whether the decimal value obtained by dividing the fraction 5/6 (5 6) is terminating or non-terminating.

0.4141 rounded to the nearest thousandth

Answers

Answer:

0.4141 rounded to the nearest thousandth is 0.414.

Step-by-step explanation:

Since the number is 0.4141, and the number following the thousandths place is under 5, the thousandth place stays the same. If it were 5 or over, it would round up making it 0.415, but it's not so it is 0.414.

answer choices:
A. 182.3
B. 164.2
C. 288
D. 144

PLSSSS HELP

Answers

Answer:

288m^3

Step-by-step explanation:

the volume is base* height

to find the second side, use the Pythagorean theorem : [tex]\sqrt{10^2-8^2} = \sqrt{100-64}= \sqrt{36} = 6[/tex],

now find the area of the triangle: 6*8/2=24

now multiply it by the height and you get the volume: 24*12=288

can someone help me with this question​

Answers

Answer:  The guage block height is 4.98 m

The base of the right triangle that is formed is 7.3784 m

The last angle in the triangle is 56 degrees

Step-by-step explanation:

Redraw the triangle formed in the picture and use H for the hypotenuse, O for the block height, and A for the base.  Now we can use trig (SOHCAHTOA) to find the answaers.

Using sine, we can first find the gauge block height, O (Opposite).  Given the Hypotenuse (H) is 8.9 m, we can use the definition of the sine of an angle to find the height, O.

Sine(34) = Opposite/Hypotenuse (O/H), or O = H*Sine(34)

O = (8.9)*(0.5592)

O = 4.98 m, the height of the gauge block,

The base of the triangle, A, can be determined with cosine.

Cosine(34) = A/O, or A = Cosine(34)*O

A = (0.82904)*(8.9)

A = 7.3784 m

The sum of all angles in a triangle is 180 degrees.  

180 = X + 34 + 90

X = 56 degrees

Given f(x)=2x^2+3x-8 find (b+2)

Answers

Answer:

[tex]\displaystyle f(b+2) = 2b^2 + 11b +6[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystyle f(x) = 2x^2 + 3x - 8[/tex]

And we want to find:

[tex]\displaystyle f(b + 2)[/tex]

Substitute:

[tex]\displaystyle f(b+2) = 2(b+2)^2 + 3(b+2) - 8[/tex]

Expand and simplify:

[tex]\displaystyle \begin{aligned}f(b+2)&= 2(b^2+4b+4)+(3b+6)-8 \\ &= (2b^2+8b+8)+(3b+6)-8 \\ &= (2b^2) + (8b+3b)+ (8+6-8) \\ &= 2b^2 + 11b + 6 \end{aligned}[/tex]

In conclusion:

[tex]\displaystyle f(b+2) = 2b^2 + 11b +6[/tex]

K-5+1-5k please I need help

Answers

Answer:   -4k - 4

Explanation:

The like terms k and -5k combine to -4k

The like terms -5 and 1 combine to -4

So overall, that's how we end up with -4k-4

Answer:

-4k - 4

Step-by-step explanation:

1). (k - 5k) + (-5 + 1) {Collect like terms}

2). -4k - 4 {Simplify}

multiply 3 by b, then multiply c by the result

Answers

Hi

Answer:

3bc

Step-by-step explanation:

3×b=3b

3b×c=3bc

Shima will mix 1 fluid Ounce of fertilizer in water for every 40 square feet of soil. At this rate, which of the following expressions gives the number of gallons of fertilizer that Shima will mix in water for 0.5 acres of soil?

A. 0.5(40)(128)/43.560
B. 40(128)/0.5(43.560)
C. 0.5(43.560/40(128)
D. 43.560/0.5(40)(128)
E. 0.5(43.560)(40)/128​

Answers

Answer: 0.5(43,560)/ 40(128)

Step-by-step explanation:

area of the shape...​

Answers

1/2(a+b)h
Which is 1/2(13+16)4
Answer: 58

If this is correct pls mark brainliest

Help me with this one

Answers

9514 1404 393

Answer:

  "complete the square" to put in vertex form

Step-by-step explanation:

It may be helpful to consider the square of a binomial:

  (x +a)² = x² +2ax +a²

The expression x² +x +1 is in the standard form of the expression on the right above. Comparing the coefficients of x, we see ...

  2a = 1

  a = 1/2

That means we can write ...

  (x +1/2)² = x² +x +1/4

But we need x² +x +1, so we need to add 3/4 to the binomial square in order to make the expressions equal:

  [tex]x^2+x+1\\\\=(x^2+x+\frac{1}{4})+\frac{3}{4}\\\\=(x+\frac{1}{2})^2+\frac{3}{4}[/tex]

_____

Another way to consider this is ...

  x² +bx +c

  = x² +2(b/2)x +(b/2)² +c -(b/2)² . . . . . . rewrite bx, add and subtract (b/2)²*

  = (x +b/2)² +(c -(b/2)²)

for b=1, c=1, this becomes ...

  x² +x +1 = (x +1/2)² +(1 -(1/2)²)

  = (x +1/2)² +3/4

_____

* This process, "rewrite bx, add and subtract (b/2)²," is called "completing the square"—especially when written as (x-h)² +k, a parabola with vertex (h, k).

-2u+(-1)=-13
---------------

Answers

Answer:

Solution given

-2u+(-1)=-13

open bracket

-2u-1=-13

add 1 on both side

-2u-1+1=-13+1

-2u=-12

divide both side by -2

-2u/-2=-12/-2

u=6

[tex]\huge\text{Hey there!}[/tex]

[tex]\textsf{-2u + (-1) = -13}\\\textsf{-2u - 1 = -13}\\\large\text{ADD 1 to BOTH SIDES}\\\textsf{-2u - 1 + 1 = -13 + 1}\\\large\text{CANCEL out: -1 + 1}\\\large\text{KEEP: -13 + 1}\\\rightarrow\textsf{-2u = -12}\\\large\text{DIVIDE -2 to BOTH SIDES}\\\mathsf{\dfrac{-2u}{-2}= \dfrac{-12}{-2}}\\\textsf{CANCEL out: }\mathsf{\dfrac{-2}{-2}}\\\textsf{KEEP: }\mathsf{\dfrac{-12}{-2}}\\\mathsf{u = \dfrac{-12}{-2}}\\\mathsf{u = \bf 6}\\\huge\boxed{\mathsf{Answer: u = 6}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}\\\\\frak{Amphitrite1040:)}[/tex]

Solve by using the quadratic formula: (3x + 3)^2 = 25

Answers

x= 2/3, -8/3


Step by Step:


3x+3=+/- 5

3x+3=5 and 3x+3=-5

x=-8/3 and x=2/3

Find the slope of the line given the two points below:
(5,-9) and (8,2)

Answers

To find slope you use this equation y2-y1/x2-x1
Y2=2
Y1=-9
X2=8
X1=5
So you plug them in to the equation
2- -9/ 8-5
2- -9 is 11
8-5 is 3
11/3 is 3.6
3.6 is the decimal form
The fraction form is 3 3/5
So your slope is 3.6 or 3/5

Hope this helps *smiles*
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