MATHEMATICS HIGH SCHOOL

The hypotenuse of aright triangle is 10 cm.

One of the side lengths is 8 cm.

What is the length of the other side?

Answers

Answer 1
Answer:

Answer:

6 cm

Step-by-step explanation:

We can use the Pythagorean Theorem to find the length of the missing side.

The Pythagorean Theorem states that the hypotenuse of a right triangle will be a^2 + b^2, where a and b are the leg lengths.

Together, we get the formula a^2 + b^2 = c^2.

Since we know the hypotenuse (c) and one of the sides (let's say a), we can find the missing side (b) by substituting inside the equation.

8^2 + b^2 = 10^2\n\n64 + b^2 = 100\n\nb^2 = 100-64\n\nb^2 = 36\n\nb = √(36)\n\nb=6

So the missing side is 6 cm long.

Hope this helped!
Answer 2
Answer:

Answer:

6 cm

Step-by-step explanation:

use Pythagorean theorem a² + b² = c²

let c = 10 cm  ,  b = 8 cm

plug in values

a² + 8² = 10²

a² = 10² - 8²

a = √(10^2 - 8^2)

a = 6 cm

Related Questions

Solve 2cos^2x+3cosx-2=0
A toddler crawled 3 yards, stopped, then continued to crawl 11 more feet. How many feet did he travel in total?
What is the midpoint of (-12,0) and (-3,0)?
If a hospital patient is given 50 milligrams of medicine which leaves the bloodstream at 10% per hour, how many milligrams of medicine will remain in the system after 6 hours? Use the function A(t) = Iert. A) 12.39 mgB) 27.44 mgC) 45.24 mgD) 91.11 mg
If the train was traveling nonstop, how many miles would Smithand Annie have traveled in 5.5 hours?

A two pound box of spaghetti costs $2.50. Philip says that the unit cost is 2/2.50 =$0.80 per pound. Explain his error

Answers

Answer

Find out the  Philip error.

To prove

As given

A two pound box of spaghetti costs $2.50.

Philip\ says\ that\ the\ unit\ cost\ is\ (2)/(2.50) is\ equal\ 0.80\ dollar\ per\ pound.

Philip calculated the unit cost by wrong method he divided weight by the cost which is wrong.

2 pound box of spaghetti costs = $2.50

one\ costs\ of\ box = (Total\ cost\ of\ two\ pound\ cost)/(Total\ pounds)

unit\ cost\ of\ box = (2.50)/(2)

unit cost of box = $1.25

Therefore the unit cost of box is $1.25 .
2.50 / 2 = 1.25 not .80It also looks like you are trying to divide the spaghetti boxes by the price, when it should be price by number of boxes.

Four of the angles of a pentagon measure 85°, 110°, 135°, and 95°. Find the measure of the missing angle. A. 115° B. 95°C. 135°D. 85°

Answers

Hence the missing angle is 115 degrees

Sum of angle in a pentagon

The sum of an interior angle of a pentagon is 540 degrees

Let the value of the fifth angle be "x", hence;

x + 85°+ 110° + 135° + 95° = 540

x = 540 - (85°+ 110° + 135° + 95°)

x = 540 - 425

x = 115 degrees

Hence the missing angle is 115 degrees

Learn more on angles in a pentagon here: brainly.com/question/21475963
sum of all 5 angles of a pentagon = 540°
85 + 110 + 135 + 95 = 425 
540 - 425 = 115 
missing angle = 115° (answer is A)

Charlie solved an equation, as shown below:Step 1: 5x = 30
Step 2: x = 30 – 5
Step 3: x = 25

Part A: Is Charlie's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.
Part B: How many solutions will this equation have?

Answers

Part A : His solution is incorrect because whenever you have a number "connected to" the variable, you have to divide. & what you do to one side, you have to do to the other. So, for step 2, instead of subtracting 5, you divide by 5. By doing this, you will then have 'x' by itself on the left, & on the right 30/5= 6. So, x=6. 

Showing...
Step 1: 5x=30
Step 2: 5x/5=30/5  (the 5s cancel out, leaving you just x on the left)
Step 3: x=6

Part B : This solution will have only 1 answer, & that answer is 6. -6 wouldn't be counted as one because if you plug -6 into the equation as x, the sides won't equal, you'll have -30=30 which isn't true. 

Hope this makes sense & helps you ! (:

One linear function, t(x), can be modeled by the values in the table below. A second linear function can be modeled by the equation 3x − 2y + 6 = 0. When comparing the x-intercepts of these lines, which function has the largest x-intercept and what is this value?x t(x)
−2 −15
−1 −10
0 −5
1 0
2 5
t(x) has the largest x-intercept: 1.
3x − 2y + 6 = 0 has the largest x-intercept: 3.
t(x) has the largest x-intercept: −5.
3x − 2y + 6 = 0 has the largest x-intercept: −2.

Answers

That answer is wrong. the correct answer is C.

At x-intercept, y value = 0,
 
For t(x), x = 1 when y = 0, i.e. x-intercept = 1

for 3x - 2y + 6 = 0, when y = 0,
3x - 2(0) + 6 = 0
3x + 6 = 0
3x = -6
x = -6/3 = -2
i.e. x-intercept = -2

Therefore, t(x) has the highest x-intercept of 1.

Find the measure of angle one…. PLEASE HELP!!!!!!

Answers

Answer:

Step-by-step explanation:

9x - 5 = 58

9x = 63

x = 7

<2 = 32°

7y + 27 + 58 + 32 = 180

7y + 117 = 180

7y = 63

y = 9

for <1: x + 58 = 180

       x = 122°

Help please! Which term means to do away with something?A. temperance

B. abolition

C. labor boycott

D. civil disobedience

Answers

Civil disobedience is the decision to transgress a law to show that it is inequitable. So your answer shall be D. Civil disobedience
Abolish - eradicate, stamp out mean to do away completely with something. So, it B. abolition.
Other Questions
Solve for x: |x|-8=-5
A system of equations can be written to represent coin and pricing problems. True or False.
Identify the property used to create the equivalent expression. (3 + 4) + 6 = 3 + (4 + 6)
Please can someone help me out? am getting different answers thanks