If a triangle has side lengths 7, 10, and 12, is it a right triangle??

Answers

Answer 1

Answer:

No. Remember, a right angle must have a 90 degree angle. We can find the lengths with the Pythagorean Theorem.

Step-by-step explanation:

Given the length 7, 10, and 12, we can assume that 12 is the hypotenuse (it is the longest length).

- we can use 7 and 10 interchangeably.

Fill in the equation, [tex]a^2 + b^2 = c^2[/tex]

                 where c = 12, and a or b = 7 or 10.

To indicate if the given lengths would form a right angle, we can only input 7 or 10, not both.

Therefore, [tex]7^2 + b^2 = 12^2[/tex] or [tex]10^2 + b^2 = 12^2[/tex]

[tex]7^2 + b^2 = 12^2[/tex] ==> 49 + b^2 = 144 ==> b= [tex]\sqrt{95[/tex] ==> 9.746

b= 9.7, not 10.

[tex]10^2 + b^2 = 12^2[/tex] ==> 100 + b^2 = 144 ==> b = [tex]\sqrt{44[/tex] ==> 6.633

b= 6.6, not 7.

Therefore, the lengths 7, 10, and 12, does NOT make a right triangle.

Hope this helps!


Related Questions

Caitlyn recorded the height of each plant after she exposed each plant to a set amount of darkness daily. The scatterplot shows her results after 2 weeks of exposing each plant to the amount of darkness.

A graph titled Plant Growth has hours of darkness on the x-axis, and height of plant (inches) on the y-axis. Points are grouped closely together and decrease. Point (17, 12) is above the cluster.

Which statement about the scatterplot is true?
The point (17, 12) could cause the description of the data set to be overstated.
The point (17, 12) could cause the description of the data set to be understated.
The point (17, 12) shows that there is no relationship between the number of hours of darkness and the height of the plant.
Although (17, 12) is an extreme value, it should be part of the description of the relationship bet

Answers

Answer:

B. The point (17, 12) could cause the description of the data set to be understated.

Step-by-step explanation:

All other points on the scatter plot except point (17, 12), all follow a similar trend showing the negative relation between height of plants and darkness. If we are to consider just point (17, 12) alone when describing the data set, we might likely understate the relation between both variables.

Therefore, the statement that is true about the scatter plot is "B. The point (17, 12) could cause the description of the data set to be understated."

Answer:

hello love! your answer is B :)

Step-by-step explanation:

i got a 100%

Which is the correct calculation for the volume of the prism?'
3 units
5 units
4 units
O 3 + 5 + 4 = 12 units
O3(4) + 5 = 17 units?
3(4) = 12 units
3(5)(4) = 60 units

Answers

Step-by-step explanation:

V = l.W.H

3(5)(4) = 60 units

The volume of rectangular prism is given by the product of its dimensions hence the correct option is 3(5)(4) = 60 units

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere. Different shapes have different volumes.

Given that, we need to determine the correct calculation for the volume of the prism,

We know that, the volume of a rectangular prism is the  product of its dimensions = length x width x height

Therefore, the correct formula is 3(5)(4) = 60 units

Hence, the correct option is 3(5)(4) = 60 units

Learn more about volumes, click;

https://brainly.com/question/24086520

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Given the exponential function A(x)= P (1+r)^x, what value for r will make the function a decay function

Answers

Answer:

negative value for r

Step-by-step explanation:

Given data

Given the exponential function A(x)= P (1+r)^x

A negative value for r will make the function a decay

Hence the decay function will look like

A(x)= P (1-r)^x

The local water slides have 72
employees, of which 25% are
temporary. How many
temporary employees are
there?

Answers

18. 72x0.25=18 there are 18 temporary employees

Answer:

18

Step-by-step explanation:

Step 1: Convert 25% to a fraction

[tex]\frac{25}{100}[/tex]

Simplify

[tex]\frac{1}{4}[/tex]

Step 2: Convert 72 to a fraction

[tex]72 = \frac{72}{1}[/tex]

Step 3: Set it up

[tex]\frac{1}{4}\times \frac{72}{1}[/tex]

Step 4: Cross divide

[tex]72 \div 4 = 18[/tex]

[tex]1 \div 1 = 1[/tex]

[tex]\frac{18}{1} = 18[/tex]

Therefore, the are 18 temporary employees in the local water slides.

Marge purchased x bicycle helmets and y tire pumps. Each helmet cost $12.00 and each pump cost $8.00. She purchased a total of 18 items and spent $176.00. How many helmets did Marge buy?

Answers

X=8 helmets
Y=10 pumps

Answer:

8 x 12 = 96    10 x 8 = 80   96 + 80 = 176 so the answer is 8 helmets and 10 pumps

Step-by-step explanation:

umm please help me it is confusing

Answers

Answer: x = 24 & x = 96

Step-by-step explanation:

Answer: Every option given is a solution

Any value larger than 18 is a solution. So we can say x > 18.

============================================================

Explanation:

To isolate x, we multiply both sides by 6 like so

3 < x/6

3*6 < x

18 < x

x > 18

In the last step, I swapped the left and right sides. This swap meant that I had to flip the inequality sign as well. Saying x > 18 means we can pick anything larger than 18 to have it as a solution. Something like x = 5 is too small, but values like x = 24 and x = 96 will work. In fact, all of the answer choices given are larger than 18. So you'll check each answer box.

---------

As a way to confirm a potential answer, we plug it back into the original inequality. Let's say we wanted to check x = 90

So,

3 < x/6

3 < 90/6 ... replace every x with 90

3 < 15

The last inequality is true, because 3 is indeed smaller than 15. Therefore, the original inequality is true when x = 90. We confirm that x = 90 is a solution.

The steps to confirm x = 114, x = 96, and x = 24 will follow the same idea. I'll let you do those confirmations.

The radius of a circular stage is 15 feet. Katie wants to lay down tile to cover the stage. If Katie pays $12.50 per square foot of tile, how much would it cost to tile the entire stage floor? Round to the nearest whole dollar.

Answers

Answer:

$8835.75

Step-by-step explanation:

The equation to use for this is for the area of a circle which is:

π r^2

So by plugging in 15 feet:

π 15^2,

π 225,

~706.86 ft^2.

Next, multiply this by the $12.50 per square foot.

706.86 * 12.50 = $8835.75

All done!

Leslie invested in an account that paid 2% annual interest compounded continuously. After 40
years, her investment was worth $6231.51. To the nearest dollar, what was the value of
Leslie's original investment?

Answers

40 x 3^ djwk17393959
Ow1939499292919

Please help!!! I’ll give you the Brainly mark

Answers

Answer:

4

Step-by-step explanation:

just look at the graph and find where y is -5 the correlating point is 4

please HELPPPP me !!!!!

Answers

Answer:

[tex]y = 4x - 3\\Slope \ m_1 = 4[/tex]

EQUATION OF LINE PERPENDICULAR

[tex]Lines \ are \ perpendicular => m_1 \cdot m_2 = -1\\[/tex]

[tex]slope, m_2 = \frac{-1}{4}[/tex]

[tex]equation \ of \ the\ line \ passing \ through \ (-2, 2) \ slope ,m_2 :\\(y - y_2) =m_2(x - x_2)\\ (y - 2) = \frac{-1}{4} (x -(-2))\\\\y - 2 = \frac{-1}{4} (x +2)\\\\y = \frac{-1}{4}x - \frac{1}{2} + 2\\\\y = \frac{-1}{4}x + \frac{3}{2}[/tex]

EQUATION OF LINE PARALLEL

[tex]Lines \ are \ parallel => m_1 \cdot m_3 = 1\\slope, m_3 = \frac{1}{4}[/tex][tex]Equation \ of \ the \ line \ through \ (-2, 2) \ and \ slope, m_3:\\(y - y_3) =m_3(x - x_3)\\\\(y-2) = \frac{1}{4} (x - (-2))\\\\y-2 = \frac{1}{4}(x+2)\\\\y = \frac{1}{4}x + \frac{1}{2} +2\\\\y = \frac{1}{4}x + \frac{5}{2}[/tex]

SOMEONE HELP ME PLEASE !! THANK YOU

A rectangle has a a perimeter of 68 ft. The length and width are scaled by a factor 1.5.

The perimeter of the resulting rectangle is ___ ft.

Answers

Answer and Step-by-step explanation:

Here is the equation for finding the sides (just to show):

68 = (2L + 2W)

We multiply L and W by 2 because there are two of the lengths and 2 of the widths.

Now, we add the scale factor to the outside, but on both sides of the equation.

68 × 1.5 = 1.5(2L + 2W)

Multiply 68 by 1.5.

102 = 1.5(2L + 2W)

The answer is 102.

The perimeter of the resulting rectangle is 102 ft.

#teamtrees #PAW (Plant And Water)

A movie theater sells small and large boxes of popcorn. A small box of popcorn costs $1.50. A large box of popcorn costs $4.00. A total of 25 boxes of popcorn were sold totaling $75.00.

Answers

15 large boxes of popcorn and 10 small boxes of popcorn. 15 x 4= 60. 10 x 1.50 = 15 60 + 15 = 75

I need help so yea please help

Answers

Answer:

option 3

Step-by-step explanation:

divide the diameter by 2 to get the radius.

pi×r^2

3.14×42^2=5538.96 km^2

Find the equation of the parallel to the line 3x-2y=5 and passing through the midpoint of the line segment joining the points (-4,2) and (2,4).​

Answers

Given:

The equation of parallel line is:

[tex]3x-2y=5[/tex]

The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).​

To find:

The equation of required line.

Solution:

Midpoint of  line segment joining the points (-4,2) and (2,4) is:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)[/tex]

[tex]Midpoint=\left(-1,3\right)[/tex]

It means the required line passes through the point (-1,3).

The slope of line [tex]Ax+By=C[/tex] is:

[tex]m=\dfrac{-A}{B}[/tex]

The given equation is:

[tex]3x-2y=5[/tex]

Here, A=3 and B=-2. So, the slope of the line is:

[tex]m=\dfrac{-3}{-2}[/tex]

[tex]m=1.5[/tex]

Slope of parallel lines are same. So, the slope of the required line is 1.5.

The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-3=1.5(x-(-1))[/tex]

[tex]y-3=1.5(x+1)[/tex]

[tex]y-3=1.5x+1.5[/tex]

Adding 3 on both sides, we get

[tex]y=1.5x+1.5+3[/tex]

[tex]y=1.5x+4.5[/tex]

Therefore, the equation of the required line is [tex]y=1.5x+4.5[/tex].

the florida gators football team recorded the following yardage in seven plays, 9, -3, -5, 0, 12, 20, and -4, order these from greatest to least

HELP ME REALLY FAST
I WILL MARK BRAINLIEST

Answers

-5, -4, -3, 0, 9, 12, 20. Bam✨

What is the area of the kite?

Answers

Answer:

1.125 ft²

Step-by-step explanation:

Take the height and the diagonals, multiply, and then divide by 2

the area is 1. 125ft

Mrs. Murphy by balloons garlands paper lanterns and banners to decorate a school party she got three times as many bags of balloons as paper lanterns seven more garlands than paper lanterns and for banners she paid $5.25 for each banner $6.50 for each paper lantern five dollars for each bag of balloons and $3.50 for each garland how many of each kind of decoration did she purchase if she paid $145.50 please help

Answers

Answer:

Mrs. Murphy bought 4 packages of paper lanterns, 12 bags of balloons, 11

garlands and 4 banners

Step-by-step explanation:

I'm not really sure how I got this but it hope it helps!

Can somebody help me with this im pretty bad with coordinates ty in advance!​

Answers

Answer:

5 units

Step-by-step explanation:

4^2 + 3^2 = 25

sqr root 25 is 5

Answer:

The distance from P to Q is

D. 5 units

hii i’ll give brainliest please help thanks :)

Answers

Answer:

A.) .75

Step-by-step explanation:

So the upper quartile is basically just the median of the bottom half. So we take the bottom half of the numbers:

0.5, 0.5, 0.75, 0.75, 1, 1, 1  

And the median of the is 0.75

So the lower quartile is .75

hope this helps:)

The answer is .75
0.75 is the median and .75is the lower quartile

Answer the statistical measures and create a box and whiskers plot for the following set of data.
1, 1, 6, 10, 12, 13, 13, 14, 16, 19
Min:
Q1:
Med:
Q3:
Max:

Answers

Answer:

min 1

Q1 = 6

med = 12.5

Q3 = 14

Max = 19

Step-by-step explanation:

Min simply refers to the smallest value and that is 1

Q1 is the first quartile and the formula is;

Q1 = (n+ 1)/4

where n is the number of terms which is 10

Q1 = (10 + 1)/4 = 2.75

This is approximately 3 and the 3rd term is 6

med is the median value and that is 12 + 13 = 25/2 = 12.5

Q3 is the third quartile

Q3 = 3(n+ 1)/4 = 8.25 and that is the 8th term which is 14

Max is simply the highest in value and that is 19

Given the following table, what is the quadratic equation?
X
у
1
2
2
5
10
3 4
17
O A 2x2 + 1
o B. x2 + 1
o C. 4x2 + 1
OD. 2x2 + x + 1

Answers

Answer:

Answer B.

x² + 1

Step-by-step explanation:

x=1

Input x= 1 into x²+1 to get y

(1)²+1 = 2

when x=2

(2)²+1 = 5

when x = 3

(3)² + 1 = 10.

when x=4

(4)² + 1 = 17

Hence Option B

Please Help!!! Need tonight! No fake links or I WILL report you!
In function graphing, if there is no amplitude change (mainly looking for tangent), what do you write? 1?

Answers

Answer:

The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant. If we graph the tangent function on −π2 to π2 , we can see the behavior of the graph on one complete cycle.

The tangent function does not have an amplitude because it has no maximum or minimum value. The period of a tangent function, y=atan(bx) , is the distance between any two consecutive vertical asymptotes..

so its not 1 but 2.

hope its right.

Ashley and her 2 sisters are planning to buy a treadmill online. The total cost of the treadmill is $400. In addition, there is a shipping and handling fee that is 5% of the cost of the treadmill. Finally, there is a 7% sales tax added to the cost of the purchase (treadmill cost + shipping and handling).

If they decide to split the bill evenly, then how much will each sister have to pay?

Answers

Answer:

Step-by-step explanation:

200 because 4 dived by 2=2. kay?

\Six times a larger number is equal to the sum of a smaller number and 18. The difference of twice the larger number and the smaller number is 6. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?
y = 6 x + 18. y = 2 x minus 6.
y = 6 (x + 18). Y = 2 (x minus 6).
y = one-sixth x + 3. y = one-half x + 6.
y = one-sixth x + 3. y = one-half x + 3.

Answers

Answer:

last option:  y = 1/6x+3; y = 1/2x+3

Step-by-step explanation:

6y = x + 18

Solve the above for 'y' to get:

y = 1/6x + 3

2y - x = 6

Solve the above for 'y' to get:

2y = x + 6

y = 1/2x + 3

A simple impact crater on the moon has a diameter of 15 kilometers. A complex impact crater has
a radius of 30 kilometers. How much greater is the circumference of the complex impact crater than
the simple impact craters?

Answers

Answer:

141.3 km

Step-by-step explanation:

First crater has the radius (that is, half the diameter) of 7.5 km; the circumference of this crater is C = 2(pi)r, or 2(3.14)(7.5 km) = 47.1 km;

Second crater radius is C = 2(pi)(30 km) = 188.4 km

The circumference of the complex (larger) impact crater is

(188.4 - 47.1) km greater than the circumference of the simple (smaller) crater:

141.3 km

4. My son's age is of my wife's age, my wife's age is of my age, and my age is of my father's age. Find
age of my son, if my father is 50 years old

Answers

Answer:

50?

Step-by-step explanation:

Answer:

The age of son is 50.THANK YOU.

what is the y intercept of this quadratic function

Answers

Answer:

the y-int is at the point (0,3)

Step-by-step explanation:

Answer:

(0,3)

Step-by-step explanation:

f(x)=x²+2x+3

x=0

f(0)=0²+2×0+3

f(0)=3

y=3

(0,3)

The given circle has radius r = 22. If \thetaθ = 141 degrees, what is the area of sector L?

Answers

Answer:

[tex]595.54[/tex]

Step-by-step explanation:

The formula for a sector of a circle with angle [tex]\theta[/tex] is [tex]\frac{\theta}{360}\cdot r^2\pi[/tex].

Substituting given values, we have:

[tex]\frac{141}{360}\cdot 22^2\pi\approx \boxed{595.54}[/tex]

WILL MARK BRAINLISET IF GOTTEN RIGHT!!

Answers

Answer:

12 cm

Step-by-step explanation:

OP = √(15² - (18/2)²)

=√(225- 9²)

=√(225-81)

=√144

= 12

i’m so bad at this someone please help me lol!

Answers

Answer:

It's B

Step-by-step explanation:

B makes the most sense to me

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