Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle? The triangle is a right triangle because 52 + 122 = 132. The triangle is a right triangle because 5 + 13 > 12. The triangle is not a right triangle because 52 + 132 > 122. The triangle is not a right triangle because 5 + 12 > 13.

Answers

Answer 1

Answer:

The Triangle Is A Right Triangle Because 5^2 + 12^2 = 13^2.

Step-by-step explanation:

5^2 = 25. 12^2 = 144. With the Pythagorean theorem, (a^2 + b^2 = c^2), 5 is a, 12 is b, and 13 is c.

25 + 144 = 169.

13 ^ 2 = 169.

Since a^2 + b^2 = c^2 is true, the triangle is a right triangle.

Answer 2

Given:

Sides of triangle= 5cm, 13cm and 12cm

To find: Whether a triangle is a right angled triangle.

This can be solved by applying Pythagorean theorem:

According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

[tex]H^2=P^2+B^2[/tex]

where,

H= Hypotenuse

P= Perpendicular

B=Base

Applying given values in the formula:

[tex]H^2=P^2+B^2\\\\13^2=5^2+12^2\\\\169=25+144\\\\169=169[/tex]

Since, R.H.S= L.H.S

Thus, we can say that this triangle is a right angled triangle.

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Related Questions

Evaluate b^2 for b= -4

Answers

Answer:

16

Step-by-step explanation:

b^2

Let b= -4

(-4)^2

16

Answer:

16

Step-by-step explanation:

We have the expression:

b^2

We know that b= -4. Therefore, we can substitute -4 in for b.

(-4)^2

-4^2 is the same as multiplying 4, 2 times.

-4^2

=-4*-4

2 negative numbers multiplied together make a positive number.

= 16

help pls don’t understand this one

Answers

Answer:

EFA                                    

Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees none of the other lines add up to 180 degrees and are also part of a vertical pair

find the volume of the triangular prism will mark brainliest pls answer
a)27yd3
b)72yd3
c)240yd3
d)360yd3

Answers

Answer:

The answer is c because the five is throwing you off

The figure below is a rectangular box in which EFGH and ABCD are rectangles and BF is perpendicular to planes EFGH and ABCD. Use the figure to complete parys a through e.

Answers

Answer:

Step-by-step explanation:

Given question is incomplete: Find the compete question in the attachment.

a). Skew lines neither the parallel lines nor they intersect each other.

Two pairs of skew lines are BF and EH, & CG and EF.

b). Since EFGH and ABCD are rectangular planes and BF and DH are perpendicular to them,so both will be the altitudes between the planes.

Therefore, BF and DH will pe parallel.

c). BD and DH are the diagonals of the planes parallel to each other.

Therefore, BD and DH will be parallel.

d). Since BD and plane EFG don't intersect each other, so the solution will be an empty set.

e). HG is perpendicular to DH. So,the planes BDH and FHG containing these lines will be perpendicular to each other.

Simplify the expression 3+-2 (x-5)

Answers

Answer:

13 - 2x

Step-by-step explanation:

3 + (-2)(x-5) =

= 3 + (-2x + 10)

= 3 - 2x + 10

= 13 - 2x

What one of the shape has a flat surface

Answers

Answer:

Cylinder

Step-by-step explanation:

A cylinder has a 2 flat surfaces.

1 on each side

Answer: Cylinder is the correct answer

Hope this helps.

Problems:
1.John began his job making $20 the first day. After that he was paid $6.00 per hour. Y = 6x + 20.

Answers

Answer:

Im confused on what the question is. The equation you have is correct. Youhave the Y=Mx+b format so M=6 and b=20

Step-by-step explanation:

PLEASE ANSWER IM SO SO SO DESPERATE

Answers

Answer:

Step-by-step explanation:

so volume of cylinder is

V= [tex]r^{2}[/tex] (pi)

V=5'2 (pi)

V=78.5

On a coordinate plane, a curved line with minimum values of (negative 1.5, negative 2) and (1.5, 2), and a maximum value of (0, 4), crosses the x-axis at (negative 2, 0), (negative 1, 0), (1, 0), and (2, 0), and crosses the y-axis at (0, 4). Which is an x-intercept of the graphed function? (0, 4) (–1, 0) (4, 0) (0, –

Answers

Answer:

do you stillneed help?

Step-by-step explanation:

pls show a picture of something attached

Answer:

(4,0)

Step-by-step explanation:

Edg 2020

Help me ASAP and I will give you brainliest plzzzzzzzzzz
Find the perimeter of the triangle.

Answers

Answer:

7n+14

Step-by-step explanation:

what is the surface area of this square pyramid

Answers

Answer:

Surface area of square pyramid shown in picture:

A = area of 4 triangles + area of square

  = 4 x 4 x 3 x (1/2) + 3 x 3

  = 33 (ft)

=> Option 4 (last one) is correct

Hope this helps!

:)

Given the following statements, what conclusion can be drawn using the law of syllogism?

If the area of a square is an odd perfect square, then the side length of the square will be odd.
If the side length of the square is odd, then the perimeter of the square will be even.

If the perimeter of a square is even, its side length must be odd.
If the perimeter of a square is even, the area of the square will be an odd perfect square.
If the area of a square is an odd perfect square, the perimeter of the square will be even.
No conclusion can be reached based on the law of syllogism.

Answers

Answer:

C) If the area of a square is an odd perfect square, the perimeter of the square will be even.

Step-by-step explanation:

Just did it on edge.

Option 3 - If the area of a square is an odd perfect square, the perimeter of the square will be even is correct.

We have the statements given in the question.

We have to investigate the conclusion that can be drawn using the law of syllogism.

What is Law of Syllogism ?

The Law of Syllogism says that if the following two statements are true:

→ If p, then q.

→ If q, then r.

Then, the following statement is also true -

→ If p, then r.

According to the question, we have -

P(If the area of a square is an odd perfect square) ,Q(then the side length of the square will be odd).

Q(If the side length of the square is odd), R(then the perimeter of the square will be even).

Now, in the above statements, q is true for p and r is true for q.

Therefore, Option 3 is correct.

To solve more questions on syllogism, visit the link below-

https://brainly.com/question/21635821

#SPJ2

NEED HELP ASAP WITH FULL WORK

Answers

Answer:

Length of DE = 22.8cm

Step-by-step explanation:

Given: 23° and 8.9cm

To find the length of DE, we need to use the SOH-CAH-TOA method.

Since DE is the hypotenuse (The longest side), we need to use SOH meaning sinФ([tex]\frac{opposite}{hypotenuse}[/tex]).

The opposite of the angle, 23° is 8.9cm, by replacing the formula with the given, we would get the following: sin(23°)=([tex]\frac{8.9}{x}[/tex]).

To calculate, we need to multiply 'x' to both sides: x*sin(23°) = 8.9

Using a calculator, sin(23°) is 0.39

0.39x = 8.9

By dividing 0.39 to both sides, we should end up with 22.8cm (rounded to the nearest tenth of a centimeter).

hurry will give brainliest!!

Answers

Answer:

y=-2x+6

Step-by-step explanation:

If you find the slope it is -2

Answer:

[tex]y=-2x+6[/tex]

Step-by-step explanation:

Teh easiest way to answer this is to sub the points we have into the equation to see if they work. For B, plugging 0 in for x gives us 6, and plugging 3 in for x gives us 0. Hope this helps!

Can someone please help me out?

Answers

Answer:

A

Step-by-step explanation:

To find the volume of the prism, we'll find the area of the base and multiply it by the height. The base is a triangle, so its area is 1/2 * 6 * 5 = 15. The height is 11, so the total volume is 15 * 11 = A) 165 ft³. Hope this helps!


One month Jane rented 4 movies and 8 video games for a total of $49. The next month she rented 2 movies and 3 video games for a total of $19. Find the
rental cost for each movie and each video game,

Answers

Answer:

movie costs $1.25

Video game costs $5.50

Step-by-step explanation:

4x + 8y = 49 , 2x +3y = 19. By solving for x first, we get x=5/4. After substituting x into the equation, we get 4(5/4) + 8y =49 , 2(5/4)+3y=19 and then we solve for y. and we get y=11/2. check our answer, and it is true.

Hope you find this helpful

find the value of x help plz​

Answers

Answer:

iin what numbers

Step-by-step explanation:

hello! so here’s what you do:

9: (2x+9) + (3x+1) = 90
5x+8=90
5x=82
x=16.4

10: (2x+11) + 53 = 90
2x + 64 = 90
2x = 26
x = 13

What are the intercepts of y=8x-18

Answers

Answer:

[tex]x-intercept=\frac{9}{4}[/tex]

[tex]y-intercept=-18[/tex]

Step-by-step explanation:

The y-intercept is where x is equal to 0, and the x-intercept is where y is equal to 0, so:

[tex]x-intercept=(x,0)\\y-intercept=(0,y)[/tex]

The equation is written in slope-intercept form:

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

m is the slope and b is the y-intercept, so the y-intercept is -18.

Now set the value of y to 0 to find the intercept of x:

[tex]0=8x-18[/tex]

Solve for x. Add 18 to both sides:

[tex]0+18=8x-18+18\\18=8x[/tex]

Divide both sides by 8:

[tex]\frac{18}{8}=\frac{8x}{8} \\\\\frac{18}{8} =\frac{9}{4}\\ \\x=\frac{9}{4}[/tex]

The x -intercept is [tex]\frac{9}{4}[/tex].

[tex]x-intercept=(\frac{9}{4},0)\\\\y-intercept=(0,-18)[/tex]

:Done

Step-by-step explanation:

Step 1:  Find the y-intercept

To find the y-intercept, you need to set the x-value to 0 and solve for y.

[tex]y = 8(0) - 18[/tex]

[tex]y = 0 - 18[/tex]

[tex]y = -18[/tex]

[tex](0, -18)[/tex] ← y-int

Step 2:  Find the x-intercept

To find the x-intercept, you need to set the y-value to 0 and solve for x.

[tex]0 + 18 = 8x - 18 + 18[/tex]

[tex]18 / 8 = 8x / 8[/tex]

[tex]2.25 = x[/tex]

[tex](2.25, 0)[/tex] ← x-int

WHOEVER EXPLAINS ALL THEIR WORK AND GOES THROW EAXH STEP WILL GET BRAINLEST THAT IS COMPLETELY FINISEHD. write the equation of the line that goes through the points (3,2) (4,-1) show ALL steps and EXPLAIN what you are doing in each step. you will be graded on showing all the steps and your explanation.

Answers

Answer:

[tex]y = -3x+11[/tex]

Step-by-step explanation:

I accept your challenge!

First we know that a equation of the line is a linear equation, and its equation is:

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

[tex]m: \text{slope}\\b: \text{y-intercept}[/tex]

In this context, the slope, defined as the steepness of a line is characterized as the ratio of RISE (the difference in the y-coordinates, the vertical change) over the RUN (the difference in x-coordinates, the horizontal change).

[tex]$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} $[/tex]

Once we know two points where the line goes through, we can get the slope, once we know the change in y and x.

I will take [tex](3,2)[/tex] as Point 1 and [tex](4,-1)[/tex] as Point 2.

So, [tex]x_{1}=3 \text{ and } y_{1}=2\\x_{2}=4 \text{ and } y_{2}=-1[/tex]

[tex]$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{-1-2}{4-3} $[/tex]

[tex]$m=\frac{-3}{1}=-3 $[/tex]

Now we have to find the y-intercept:

To do so, think about the the points given and the nearly finished equation, we can find b with those two informations.

Our currently equation of the line is:

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

Using the points, take Point 1 as an example, it says that when [tex]x = 3, y = 2[/tex], so plugging it in the equation:

[tex]2 = -3(3)+b\\2 = -9+b\\11 = b[/tex]

Taking the Point 2

[tex]-1 = -3(4)+b\\-1 = -12+b\\11 = b[/tex]

Now we found [tex]b[/tex]! The equation is complete!

[tex]y = -3x+11[/tex]

Tyson is buying a 35-pound bag of dog food. The label says that it contains 23% protein by weight.

To the nearest pound, how much protein is in the bag of dog food?

O A 8

оооо

O c. 12

OD. 152

Answers

Answer:

8.5

Step-by-step explanation:

it would technically round to 9, but given the answer choices its A) 8

The protein in the bag of dog food is 8 pounds.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Weight of the bag = 35 pounds

Percentage of the weight of protein = 23%

The weight of the protein in the bag.

= 23% of 35 pounds

= 23/100 x 35

= 8.05 pounds

= 8 pounds

Thus,

The weight of the protein is 8 pounds.

Learn more about percentages here:

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Determine the intercepts of the line.

Answers

Hello there!

The x-intercept and y-intercept of the line shown on the graph are...

x-intercept: (-7,0)

y-intercept: (0,2)

Answer:

The x-intercept and y-intercept of the line shown on the graph are...

x-intercept: (-7,0)

y-intercept: (0,2)

Step-by-step explanation:

Find the perimeter of the figure to the nearest hundredth.

Answers

Answer:

[tex]P=2\pi (4) +6+6+2+2=8\pi+16[/tex]

Write the quadratic function in the form g(x)=a(x-h)^2 +k.
Then, give the vertex of its graph.
g(x)=-2x^2 -16x-35

Answers

The vertex of its graph is 2X56

Answer:

cos ( 3 x )

sin ( 3 x )

tan ( 3 x )

janine wants a necklace 60 beads long. how many blue and black beads would she need each

Answers

Answer:

30

Step-by-step explanation:

divide by 2

60÷2= 30 each

Answer:

the answer if  it had to be in a ratio is 1:4 or if u need a whole number its 30 hope this helps

Select the correct answer.
A company employs 48 people in various departments. The average annual salary of each employee is $25,000 with a maximum variance of
$3,000. What is the range of the total salary that the company pays to its employees annually
OA $1,056,000 sxs $1,344,000
OB.
$264,000 < xs $336,000
OC. $88,000 sxs $112.000
OD
$22,000 sxs $28,000

Answers

Answer:

$24,890.46, $25,109.59

Step-by-step explanation:

Given:

n = 48, the sample size

m = $25,000, th sample mean

σ = $3000, the maximum variance

The standard deviation is

s = √σ = √(3000) = 54.772

As a rule of thumb, the range is 4 times the standard deviation. Therefore the range is

R = 4*54.772 = 219.09

Half the range is

R/2 = 219.09/2 = 109.45

The required  range is

(25000-109.45, 25000+109.45) = (24890.46, 25109.54)

Answer: $24,890.46, $25,109.54

If abcde is reflected over the x axis and then translated 3 units left, what are the new coordinates C? A. (-2, 2) B (1, 2) C (4, 2) D (-4, -2)

Answers

Answer:

(1,2)  B

Step-by-step explanation:

The probabilities of landing on 1, on 2, on 4, on 5 or on 6 when rolling
a biased dice are shown in the table.
Number on dice
1
2
3
4
5
6
Probability
0.13
0.05
0.21
0.19
0.3
The biased dice is rolled 300 times.
Estimate the total number of times the dice will land on 3 or on 4.

Answers

I got 63 for 3 and 57 for 4

Answer:

99

Step-by-step explanation:

3=0.12

3 =0.12×300=36

4 =0.21×300=63

63+36= 99

Can Someone Please Help Me!!!

It looks so simple but i dont get it?!?!?!

s = | 5 | + |−5 | = 5 + 5 =

Answers

Answer:

|5| + |-5| = 5

5+5= 10

s= 10 units

Step-by-step explanation:

Step 1:  Combine

[tex]s = |5| + |-5|[/tex]

[tex]s = 5 + 5[/tex]

[tex]s = 10[/tex]

Answer:  [tex]s = 10[/tex]

The heights, in feet, of the trees for sale at two nurseries are shown below.

Yard Works: 7, 9, 7, 12, 5
The Grow Station: 9, 11, 6, 12, 7

Which statements are true regarding the measures of center and variability of these data sets? Select three choices.
1. The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.

2. The median of the tree heights at Yard Works is greater than the median of the tree heights at The Grow Station.

3. The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.

4. The mean absolute deviation of the tree heights at Yard Works is greater than the mean absolute deviation of the tree heights at The Grow Station.

5. The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Grow Station.

Answers

Answer: The awenser is c,D, a

Step-by-step explanation:  I Took the test hope this helps!

Answer: Option A, C, D

(A) The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.

(C) The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.

(D) The mean absolute deviation of the tree heights at Yard Works is greater than the mean absolute deviation of the tree heights at The Grow Station.

Step-by-step explanation:

two consecutive integers have a sum of 51 . find the integers

Answers

First represent your two consecutive integers as follows.

X ⇒ first integer

X + 1 ⇒ second integer

Since their sum is 51, our equation reads x + x + 1 = 51.

Now combine like terms to get 2x + 1 = 51.

Now subtract 1 to isolate the 2x and this gives us 2x = 50.

Since 2 is being multiplied by x, to get x by itself, we need

to divide by 2 on both sides of the equation to get x = 25.

If x = 25, then x + 1 would be 25 + 1 or 26.

So our two consecutive integers are 25 and 26.

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