State if each triangle is a right triangle.

State If Each Triangle Is A Right Triangle.

Answers

Answer 1

Answer:

Yes.

Step-by-step explanation:

To find if a triangle is a right triangle or not, we use the Pythagorean theorem. The Pythagorean theorem states that [tex]a^{2} + b^{2} = c^{2}[/tex].

a and b are the triangle legs. The c is the hypotenuse of the triangle.

Now, to find if a triangle is a right triangle, we plug in 9 for a and b and 9root2 for c.

[tex]9^{2} + 9^{2} = (9\sqrt{2})^{2}[/tex]

81 + 81 = 81 * 2

162 = 162

So the given triangle, is indeed a right triangle.


Related Questions

Choose an equivalent expression. * 8(3+5x)+7x +4

Answers

Answer:

28+47x

Step-by-step explanation:

distribute the 8 throughout the 3+5x

this leaves you with

24+40x+7x+4

combine your like terms

28+47x

Note: Please do not answer this question by putting links!

A number cube has 5 green sides and 1 orange side.
(INPUT ANSWERS AS FRACTIONS)


1. What is the probability of 2 green outcomes and 2 orange outcomes when you roll the number cube 4 times?​

Answers

The probability of 2 green outcomes and 2 orange outcomes when you roll the number cube 4 times is 0.116.

How to find the probability?

Assuming that it is a fair number cube, the probability of getting green is given by the quotient between the outcomes that give the color green and the total number of outcomes.

We know that there are 5 green sides (so 5 outcomes give the color green) and the dice has 6 sides (so there is a total of 6 outcomes). Then the probability of rolling green is:

P = 5/6.

The probability of rolling orange is computed in the same way, 1 outcome gives the color orange and there are 6 outcomes in total, so the probability of getting orange is:

Q = 1/6.

Now, let's assume that when we roll four times we get:

green - green - orange - orange.

The probability of that is given by the product of the individual probabilities, it is:

p = P*P*Q*Q = (5/6)*(5/6)*(1/6)*(1/6).

Now, we also need to take in account all the possible permutations, these are:

green - green - orange - orange.green - orange - green - orange.green - orange - orange - greenorange - green - green - orangeorange - green - orange - greenorange - orange - green - green.

So there are 6 permutations, to get the total probability of rolling 2 green outcomes and 2 orange outcomes, we need to multiply this number by the probability we got above.

Probability = 6p = 6* (5/6)*(5/6)*(1/6)*(1/6) = 0.116

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

What is the area of this figure?
48 cm
10 cm
7 cm
23 cm
6 cm
23 cm
7 cm
18 cm
square centimeters

Answers

852 cm^2; subdivide the figure into rectangle and use the formula length times width for each individual rectangle. Add the areas together for the total area

Answer:

852 cm²

Step-by-step explanation:

Separate the figure into 3 rectangles by drawing vertical lines from the vertices.

Area of a rectangle = width x length

Total area = (18 x 23) + (23 x (23 - 7)) + (7 x 10)

                 = 414 + 368 + 70

                 = 852 cm²

HELPPPPPPPThe police heighten patrols in a certain neighborhood corresponding to Rectangle EFGH,
which has vertices E(7, 7), F(1,5), G(2, 2) and H(8,4). Which is closest to the area of
rectangle EFGH?

Answers

Answer:

57.2 units^2

Step-by-step explanation:

The coordinates provided form a parallelogram, not a rectangle.    See the attached image for a diagram of EFGH.  The area of a parallelogram is given by:

Area = (Base) x (Height)

The attachment explains an approach of using right triangles to find the base and height of the parallelogram.  

I'm not confident this was the best approach, so I hope someone would comment if a simpler solution is available.

Which side is triangles show reflective sides?

Answers

Answer:

the answer is for that question is b

1) Solve the inequality -60x > 10.
?
?

Answers

Answer:

[tex]\huge\boxed{\bf\:x < -\frac{1}{6} }[/tex]

Step-by-step explanation:

[tex]-60x > 10[/tex]

Let's bring -60 to the left side of the inequality. Then, the inequality sign will also get reversed.

[tex]x < - \frac{10}{60}[/tex]

On simplifying / dividing the inequality by 10 (common factor) ...

[tex]\boxed{\bf\:x < -\frac{1}{6} }[/tex]

[tex]\rule{150}{2}[/tex]

Hello.

This is a one-step inequality, meaning that we can solve it in 1 step.

This step is:

Divide both sides by -60

Goal:

Isolate the variable (x)

Solution:

-60x>10-x>0.167x<0.167

Why was the inequality sign flipped?

When we divide both sides by a negative number, we flip the inequality sign.

I hope it helps.

Have an outstanding day. :)

[tex]\boxed{imperturbability}[/tex]

The hypotenuse of a right triangle measures 18 cm and one of its legs measures 12 cm. Find the measure of the other leg. If necessary, round to the nearest tenth

Answers

Answer:

16 cm

Step-by-step explanation:

A right triangle, with the hypotenuse = 18, one side = 7, and the other side = x.

Since this is a right triangle, use the pythagorean theorem to find the value for x.

let a = 7 for one side, and let c = 18 for the hypotenuse. And, let c = x for the other side.

The pythagorean theorem is: c^2 = a^2 + b^2.

18^2 = 7^2 + x^2324 = 49 +x^2

x^2 = 324 - 49 = 275So, x = sqrt(275) = 16.5 cm


18^2-12^2=180
Square root of 180=13.4Is approximately 13
13 to nearest tenth is 10

Avi measures a leaf and finds it is 10.5 centimeters long.

How many millimeters long is the leaf?

1 cm = 10 mm

Answers

Answer:

105 millimeters

Step-by-step explanation:

10.5 X 10 = 105
The leaf is 105mm

PLEASE HELP ME ANSWER THIS I WILL GIVE BRAINLIEST FOR SMARTEST ANSWER!!!SHOW ALL WORK TOO

Answers

so we’re given $5 for the entry free, $2.50 per pound of blueberries, and $2 per pound of apples.

we clearly are looking for the equation that represent how Eva pays.

so the equation is 5(2.50b + 2a) because to calculate her total we need to multiply the $5 entry fee with the pounds per blueberries and apples. therefore giving us 5(2.50b + 2a).
5 I hope this help !!

A large cheese pizza costs $7.50. Diego has $40 to spend on pizzas. How many large cheese pizzas can he afford?

Answers

Answer:

5

Step-by-step explanation:

40 / 7.50 = 5.333

since he can't by a third of a pizza, he can afford 5 large cheese pizzas

HOPE THIS MAKES SENSE & HELPS!!!

Answer: 5 pizzas

Step-by-step explanation:

We can do the floor of 40/7.5.

40/7.5 = 5.33333.

As he cannot buy 1/3 of a pizza, he can afford 5 pizzas.

Which one is it? Please help! I need this done by tonight!

Answers

Answer:

The answer is 8^4+4. The last one

The answers actually 4s^2 because there are two s’s so it is 4s^2

Lisa and complains a lot about her drink being flat infact local restaurant manager can consider banning her for making spurious complaints but then if he wondered if you should put forward for quality control job with the fizzy drinks company . if Lisa says a drink is flat how likely is she to be correct how good is he sad setting whether or not a drink is flat would Lisa be good at the quality controlled job justify your answer​

Answers

A) The probability of Lisa being correct if she says a drink is flat is; 83.3%

B) The level of Lisa's accuracy in detecting a drink that is flat is; 83.3%

C) The reason why Lisa should be considered for to job is because; she has a high accuracy level and is not just complaining unnecessarily.

How do you interpret the right probability?

From the table showing Lisa's response to the last 100 drinks she bought attached, we see that;

A) When the drink was flat, she complained 5 times out of 6. Thus, if the drink is flat, the probability of her complaint being correct = 5/6 = 83.3%

B) Since she is 83.3% correct in detecting whether a drink is flat, then we can say that Lisa is 83.3% very good at detecting whether a drink is flat.

C) It would be good in recommending Lisa for the quality control job because she only complained 3 times out of 94 times that the drink was not flat while she was correct 5 out of 6 times when the drink was flat. Thus, she has a high accuracy level and is not just complaining unnecessarily.

Read more about complaints at; https://brainly.com/question/10111803

Does the graph represent a function? Why or why not

Answers

Answer:

B

Step-by-step explanation:

It passes the vertical line test. Going up and down it doesn't touch the line at two separate points at any time.

The function f(x)=18000(0. 52)x represents the value in dollars of a vehicle x years after it has been purchased new. What is the average rate of change in value per year between years 4 and 8?.

Answers

[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)=18000(0.52)^x \qquad \begin{cases} x_1=4\\ x_2=8 \end{cases}\implies \cfrac{f(8)-f(4)}{8-4} \\\\\\ \cfrac{[18000(0.52)^8]~~ - ~~[18000(0.52)^4]}{4}~~\approx ~~\cfrac{-1219.86}{4}~~ \approx ~~ -304.97[/tex]

notice, the rate is negative, because the car is losing value as the time moves on.

What is the value of x, rounded to the nearest tenth?

Answers

Answer:

x ≈ 31.8

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 12² = 34²

x² + 144 = 1156 ( subtract 144 from both sides )

x² = 1012 ( take square root of both sides )

x = [tex]\sqrt{1012}[/tex] ≈ 31.8 ( to the nearest tenth )

Answer:

20.8

Step-by-step explanation:

[tex]24 = \sqrt{ {12}^{2} + {x}^{2} } [/tex]

[tex] {24}^{2} = 144 + {x}^{2} [/tex]

[tex]576 - 144 = {x}^{2} [/tex]

[tex] {x}^{2} = 432[/tex]

x=20.8

In a recent vote between two nominees, 0.4 of the registered voters chose Candidate A and of the registered voters chose Candidate B. What fraction of the total registered voters participated in the election?

Answers

Answer:

A. 13/20

Step-by-step explanation:

Determine if the triangles are congruent. If so, identify a theorem or postulate that proves them congruent.

Answers

Answer: a. ASA

Step-by-step explanation:

They are congruent by ASA beacuse 1 angle and 1 side are given to be congruent and there is also a pair of vertical angles that are congruent.

Which expression is the best estimate of 1.25 + (-2.69)?

Answers

Answer: 1+(-3)

Because you round the numbers, anything below 5 is rounded to 0 and anything 5 or above is rounded up. like 1.2 is 1, and 5.7 is 6.

7. Eddie buys 3 apples, 5 bananas, and 7 carrots from the market. What is the ratio of
bananas to carrots?
a. 7 to 5
b. 5 to 7
c. 3 to 7
d. 7 to 3

What is the ratio of bananas to carrots

Answers

Answer:

b. 5 to 7

Step-by-step explanation:

just put the amount of the bannanas to carrots

Perimeter of a rectangular polygon is 4cm.What is the measurement of one side? (Please show working out)

Answers

Answer:

1 cm

Step-by-step explanation:

You see, if the polygon is rectangular, it has 4 sides, and if the perimeter is 4cm, 4 divided by 4 is one.

I NEED HELP ASAP PLEASE!!! EXPLAIN TOO

Answers

(a) Air bounce: 37 <  x < 61

Tide pool climb:   [tex]x\leq 39[/tex]

(b) look at the uploaded diagram

(c) 37 < x [tex]\leq 39[/tex]

A cone has a height of 11 meters and a radius of 7 meters . What is the volume?

Answers

Answer:

V = 564.2 m^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h  where r is the radius and h is the height

V = 1/3 pi (7)^2 (11)

V =539 /3 * pi

Letting pi be approximated by 3.14

V = 564.1533333 m^3

Rounding to the nearest tenth

V = 564.2 m^3

Answer:

564.512 m³

Step-by-step explanation:

Formula to find the volume of a cone is :

Volume = [tex]\frac{1}{3}[/tex] π r² h

Here,

r = radius = 7 m

h =  height = 11 m

Let us solve now.

Volume = [tex]\frac{1}{3}[/tex] π r² h

Volume = [tex]\frac{1}{3}[/tex] π ×7² × 11

Volume = [tex]\frac{1}{3}[/tex] π × 49 × 11

Volume = [tex]\frac{1}{3}[/tex] π × 539

Volume = [tex]\frac{1}{3}[/tex] × 1693.538

Volume = 564.512 m³

Hope this helps you :-)

Let me know if you have any other questions :-)

What unit of measurement would you use to measure the length of your foot?

Answers

Answer:

centimeter

Step-by-step explanation:

Help please! No links or files (Its worth 30 points)

Answers

Answer:

130 i think

Step-by-step explanation:

2(58+7)

58+7+65x2=130


Determine the yertices of the triangle whose sides lie on the lines:
x + 3y = 13, x- y =1, and 5x - y =-15

Answers

Answer:

4,3,

-2,5

-4,-5

Step-by-step explanation:


Which angles are corresponding angles?
Check all that apply.
5.
8
6
7
4
1
3.
2

Answers

Answer:

D and E is the answer

Answer:

F ,8 and 1

Step-by-step explanation:

8 is correspond with the number 1

Find the value of x

Answers

Answer:

17 degrees

Step-by-step explanation:

94 = 60 + 2x

94 - 60 = 2x

34 = 2x

x = 17 degrees

What is the volume of a rectangular prism that is 8 m long, 7 m wide, and 5 m tall?

Include your steps, answer and label. (15 points)

Answers

answer: 280
to find volume it's Length x Width x Height
8x7x5 = 280

In a random sample of 64 children who received a new antibiotic for an infection 52 of the children had positive results within 12 hours. Find a 95% confidence interval for the proportion of children with infections who will experience positive results within 12 hours when treated with this antibiotic.

Answers

Answer:

2•58 ans if you solve prperly

How do you tell if a number is a solution of an equation?

Answers

Substitute the number for the variable in the equation.
Simplify the expressions on both sides of the equation.
Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

Substitute the number for the variable in the equation. Simplify the expressions on both sides of the equation. Determine whether the resulting equation is true. If it is true the number is a solution

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