The lengths of the legs of a right triangle are 5 centimeters and 10 centimeters. Which of the following measures is closest to the length of the hypotenuse?

Answers

Answer 1

Hey there!

The length of the hypotenuse is about 11 centimeters.

To solve this, we use the formula [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse leg and [tex]a[/tex] and [tex]b[/tex] are the other sides. So we can plug the numbers in to the formula:

[tex]5^2 + 10^2 = c^2[/tex]

Now we get the squares of 5 and 10:

[tex]25 + 100 = c^2[/tex]

Add 25 and 100:

[tex]125 = c^2[/tex]

Take the square root from both sides:

[tex]11.18033... = c[/tex]

The length of the hypotenuse is about 11 centimeters.

Hope it helps and have an amazing day!

Answer 2

The length of Hypotenuse = 11.18 cm

What is Pythagoras Theorem?

In mathematics, the Pythagoras theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

Given,

In right angle ΔABC

AB = 5 cm

BC = 10 cm

AC = ?

By the Pythagoras theorem,

AC² = AB² + BC²

AC² = 5² + 10²

AC² = 25 + 125

AC = √125 = 11.18

Hence, 11.18 cm is the length of Hypotenuse AC .

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

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The Lengths Of The Legs Of A Right Triangle Are 5 Centimeters And 10 Centimeters. Which Of The Following

Related Questions

15-[14/(15-8)+13-14]•
10

Answers

Answer:

5

Step-by-step explanation:

15-(2+13-14)×10 (beacuse 14÷7=2)

15-(15-14)×10

15-1×10

15-10

5 ans

I'm not sure which region contains the solution. Where both the half planes over lap

Answers

Answer:

Um i have no idea sorry i couldnt help

Step-by-step explanation:

Yeah so How are the numbers related?

Answers

Answer:

yay free points numbers are all numbers

Step-by-step explanation:

I don’t even know what numbers are you trying to say that relate within each other. Please repost the question this time and add a footage that would help us.

6 pounds of bananas are 5.94 what would be the cost for 10 pounds?

Answers

That answer is 8.34 for 10 pounds that your answer

Answer:

Step-by-step explanation:

if 6lbs costs 5.94

5.94/6=0.99

10lbs

0.99*10=9.90 dollars

Monna and co-workers used radioactive isotopes to date sediments from lakes and estuaries. To verify this method they analyzed a 208Po standard known to have an activity of 77.5 decays/min, obtaining the following results

77.09, 75.37, 72.42, 76.84, 77.84, 76.69, 78.03, 74.96, 77.54, 76.09, 81.12, 75.75

Determine whether there is a significant difference between the mean and the expected value at αâ=â0.05.

Answers

Answer:

No significant difference between mean and Expected value

Step-by-step explanation:

Hypothesis

H0 : u = 77.5

H1: u is not equal to 77.5

Alpha = 0.05

Mean = Σxi/n

= 77.09+75.37+72.42+76.84+77.84, +76.69+78.03+74.96+77.54+76.09+81.12+75.75/12

= 919.74/12

= 76.645

We get the variance s² = xi² -n(barx)²/n-1

= 77.09²+75.37²...75.75²-12(76.645)²/11

When we solve this out

We get 4.3486818182

T test = barx - u/(s/√n)

= (76.645-77.5)/√4.3486818182/12

= -1.420293

T critical = Tn-1, alpha/2

= 2.200985

The test statistic is less than 2.201 so we accept the null hypothesis at 0.05 level of significance. And then conclude that there is No significant difference between mean and Expected value.

if the temperature is 64f, how many bottles of water should the store expect to sell?

Answers

Answer:

alot

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

Edg 2021

Pls help extra points and mark brainlist

Answers

The answer is 19,657. I multiplied the expressions first (10^4=10,000) (7^3=343), then I plugged them back into the equation. 2•10,000-343=19,657

Simplify the expression:
-5(2x - 5)

Answers

Answer:

-10x+25

Step-by-step explanation:

−5(2x−5)

=(−5)(2x+−5)

=(−5)(2x)+(−5)(−5)

=−10x+25

4 2/3 divided by 1/2 in fraction form

Answers

Answer:

9 1/3

Step-by-step explanation:

4 2/3 = 14/3

14/3/1/2

14/3 x 2/1

28/3= 9 1/3

Which of the following are ordered pairs for the equation y = 3 /4 x + 6 ?
a. ( 6 , 0 ) ( 10 , 3 ) ( 14 , 6 )
b. ( 6 , 0 ) ( 9 , 4 ) ( 12 , 8 )
c. ( 0 , 6 ) ( 4 , 9 ) ( 8 , 12 )
d. ( 0 , 6 ) ( 3 , 10 ) ( 6 , 14 )

Answers

The answer is C. (0,6) (4,9) (8,12)

x2 – 12x + 37 = 0 in simplest a + bi form

Answers

Answer:

x=6+1

Step-by-step explanation:

Which equation is true?
-56
7
- ( 24 ) = -3
Done -

Answers

Answer:

First Equation is Right which is -56/8 = 7

Step-by-step explanation:

LHS = -56/8

=> -7

RHS = -7

So LHS = RHS

Answer:

the first one. -56/8 = -7

If a plant grows 1 inch a day, starting at 2 inches, how tall will it be on the 7th day?

Answers

It should be 9in at the 7th day

If f(x) = 2x + 1, and
g(x) = x – 3, then
f(g(x)) = [ ? ]x + [ ]

Answers

Answer:

f(g(x))=2x-5

Step-by-step explanation:

f(g(x))=2(x-3)+1

What is the diameter of X?



12 cm
4 cm
8 cm
2 cm

Answers

Answer:

diameter =2xradius

diameter=2x4

diameter =8cm

Answer:8cm

Step-by-step explanation:

Reaner Recycling collected 7/4 ton of aluminum last Saturday. If 7/8 ton of aluminum can be shredded each day, how many days will it take to process what was collected on Saturday?
help me please it is hard

Answers

Answer:

2 days

Step-by-step explanation:

You would have to change 7/4 to have the same common denominator as 7/8, which is 8. 7/4 is equal to 14/8, or 1 6/8. Then you would subtract 1 6/8 by 7/8. What would be left would be 7/8. And of course, 7/8 minus 7/8 would be 0.

Hope this help you

A $75 fund is available for a holiday party. If 75% of the available money is spent for food and beverages, how much is left for other expenses?

A. $18.75

B. $28.75

C. $46.25

D. $56.25​

Answers

$56.25 is going to be your answer it’s D
A!
you take 75$ and subtract 75% from it. 75% of 75 is 56.25.

Find all of the real and imaginary solutions of x^3+8=0

Answers

Answer:

[tex]x=-2, \:1+\sqrt{3}i,\: 1-\sqrt{3} i[/tex]

Step-by-step explanation:

[tex]x^3+8=0,\\x^3=-8,\\\mathrm{For\:}x\in \mathrm{R}, x=-2[/tex]

Real solutions ([tex]x \in \mathrm{R}[/tex]): [tex]x=-2[/tex]

However, recall that [tex](\frac{-1\pm\sqrt{3}i}{2})^3=1[/tex].

Therefore:

[tex]\frac{-1\pm\sqrt{3}i}{2}\cdot -2=-2[/tex].

Thus, for [tex]x^3=-8,\: x\notin \mathrm{R}[/tex]:

[tex]x=1\pm\sqrt{3}i[/tex].

Therefore, the real and nonreal solutions of [tex]x^3+8=0[/tex] are [tex]\fbox{$-2, \:1+\sqrt{3}i,\: 1-\sqrt{3}i$}[/tex].

Answer:

-2, 1 +/- i*sqrt(3)

(3 solutions)

Step-by-step explanation:

Because the left side is in the form a^3+b^3, we can factor it as (a+b)(a^2-ab+b^2) (good formula to remember)

So we have

(x+2)(x^2-2x+4)

We can see one value already

x+2 = 0

x = -2

now we solve for

x^2-2x+4 = 0

We can use the quadratic formula, and see that the determinant is negative (2^2-4*1*4 < 0)

Therefore we have two imaginary solutions

(-(-2) +/- sqrt(2^2-4*1*4))/)2*1) = (2 +/- sqrt(-12))/2 = (2 +/- 2sqrt(-3))/2 = 1+/- sqrt(-3) = 1 +/- i*sqrt(3)

How to find the area of triangle ABC

Answers

Answer:

Step-by-step explanation:

Area of a Triangle = A = ½ (b × h) square units

where b and h are the base and height of the triangle, respectively.

Answer: 24 ft is the area

Step-by-step explanation: area of triangle = (width x height)/ 2; the width is 8, height is 6, 8 x 6 = 48. Divide by 2 = 24.

please help asap will give brainliest !!!

Answers

Step-by-step explanation:

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

So the smallest angle is <P.

Hope it may help :)

Vhich real-world scenario can be described using the algebraic expression c/4?​

Answers

Answer:

Baking c cookies and dividing them evenly among 4 friends.

Brainiest???

Hope this helps

how many 1/5's are there in 9
1/5 9 = _____

Answers

Answer:

45

Step-by-step explanation:

1

1/5 X 5    times 9

Answer:

45 times is the correct answer

Find the perimeter of the following square.

A. 1 inch

B. 2 inches

C. 3 inches

D. 4 inches​

Answers

Answer:

D

Step-by-step explanation:

the perimeter of a shape is the sum of it's sides

in a square all sides have the same length

here all sides are 1 inch

so 1+1+1+1 = 4 inches which is D

Can any of you plz answer? (math)

Answers

Omg I took that lesson on I ready, your answer is 4 (please mark brainliest)

Roger biked 30 miles in 2 hours. Write this rate as a unit rate.​

Answers

Answer:

15 miles an hr or 15miles/1 hour

-5•3 = 3 • -5

Name the property that justifies the statement

Answers

Answer:

commutative property of multiplication

Step-by-step explanation:

Solve the triangle given that a=19 b=16, c=11.

Answers

Answer:

The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.

Step-by-step explanation:

From statement we know all sides of the triangle ([tex]a[/tex], [tex]b[/tex], [tex]c[/tex]), but all angles are unknown ([tex]A[/tex], [tex]B[/tex], [tex]C[/tex]). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.

If we know that [tex]a = 19[/tex], [tex]b = 16[/tex] and [tex]c = 11[/tex], then the missing angles are, respectively:

Angle A

[tex]a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A[/tex] (1)

[tex]A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)[/tex]

[tex]A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right][/tex]

[tex]A \approx 87.395^{\circ}[/tex]

Angle B

[tex]b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B[/tex] (2)

[tex]B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)[/tex]

[tex]B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right][/tex]

[tex]B\approx 57.271^{\circ}[/tex]

Angle C

[tex]C = 180^{\circ}-A-B[/tex]

[tex]C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}[/tex]

[tex]C = 35.334^{\circ}[/tex]

The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.

A number increased by 9 is -4. What is
the number? Write an equation and solve.

Answers

-4-9=13
..............

If the following figure is a square, solve for X​

Answers

Answer:

Step-by-step explanation:

It is a square so every angle is 90°. As diagonal bisects, the angles of square means that 90/2=45 So,

6x-21=45

6x=66

x=11°

Note: Diagonal only bisects the angle in the square, not in every figure.

The equation of the line? ​

Answers

Answer:

○ [tex]\displaystyle y = 2x + 7[/tex]

Step-by-step explanation:

Use the Slope-Intercept Formula instead of the Point-Slope Formula because it is MUCH, MUCH faster, plus parallel equations have SIMILAR RATE OF CHANGES [SLOPES ], so [tex]\displaystyle 2[/tex] remains as is:

[tex]\displaystyle y =mx + b \\ \\ 3 = 2[-2] + b → 3 = -4 + b; 7 = b \\ \\ \boxed{y = 2x + 7}[/tex]

I am joyous to assist you at any time.

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