MATHEMATICS HIGH SCHOOL

Two sides of an acute triangle measure 5 inches and 8 inches. The longest side is unknown. What is the greatest possible whole-number length of the unknown side?

Answers

Answer 1

Answer:

Answer:

Hence, the greatest possible whole-number length of the unknown side is:

9 inches

Step-by-step explanation:

A corollary to the Pythagorean Theorem states that:

If c is the longest side of a acute triangle, a and b are other two sides of a acute triangle then the condition that relates these three sides are given as:

$c^2<a^2+b^2$

Here we have:

Let a=5 inches.

b=8 inches.

Then,

$c^2<5^2+8^2\n\nc^2<25+64\n\nc^2<89\n\nc<9.434$

Hence, to the greatest whole possible whole number length of the unknown side is:

9 inches.

Answer 2

Answer:

Answer:

the answer is 9

Step-by-step explanation:

Related Questions

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Use the order of operations to solve the problem. 7 x 8 + 4 +1
If Jana bikes at a constant rate how many miles did she bike in the first 15 minutes

Which comes first domain or range

Answers

they are intertwined the domain is the allowed values of the independent varialbles and the range is the allowed values of the dependent variable.

in order for this to work.range comes first because for example a 100-500 range between the phone cost

2. Which expression is in simplified form for the given expression and states the correct variable restriction? U^2-4 over (u-6)(u-2)A. u + 2 over u - 6, U - 6
B. 1 over 2u + 12, u - 6
C. 1 over u - 3, u - 3
D. u + 2 over u - 6, u2, u6
------------------------------------------
3. Multiply. 5a3 . 2a over ab . 35

A. 2a3 over 7
B. a3 over 7b
C. 2a2 over 7
D. 2a3 over 7b
------------------------
4. Multiply. (a-4)(a+3) . 2a3 over a2-4a . (a+3)(a-1)

A. 2 over a - 1
B. 2a2 over a-1
C. 2a over a + 1
D. 2a over a-1
----------------------------------
5. Divide and simplify. 3x^3 over 4y divided x over 9

A. 27x over 4y^2
B. 27x over 4y^2
C. x^3 over 12
D. 27x^2 over 4

Answers

(u²-4)/(u-6)(u-2)

= (u²-4)/(u²-8u+12)

= (u+2)(u-2)/(u-2)(u-6)

= u+2/u-6

The answer is A

5a³(2a)/ ab(35

= 10a^4/35ab

= 10a³/35b

= 2a³/7b

The answer is D

Sorry I don't understand the others. If you think this help is not enough please feel free to report it.

Please rate my answer.

The first one should be A since you can factor u^2-4 into (u+2)(u-2)

I do not know which formula to useCarla bought a dress at a sale for 20% off the original price. The sale price of the dress was $68.90. Find the original price of the drees, in dollars.

Step by step explanation please.

Answers

Answer:

I think it's the second formula.

Step-by-step explanation:

Let x be the original price.

The discount rate is 20%

Sale Price is $68.90

Discount = 20% of x = 0.2x

Using the formula, Sale Price = Original Price - Discount,

Original Price - Discount is x-0.2x = 0.8x

$68.90 = 0.8x

From here on, just do the equation :) Hope this helps!

Use the 3rd one because it has fewer steps and will give you the answer

Whicg is an exponential decay function?

thx

Answers

Hello,

a^x is an exponentiel decay function if 0<a<1

7/4>1
(4/5)^-1 >1
(8/7)^-1 =7/8 <1 ******
9/2 >1

Answer C

The second one is a decay function because the value in parentheses is less than one.

What is the least common denominator (LCD) of 9/10 and 5/8?

Answers

Answer:

the least common denominator is 40

Step-by-step explanation:

brainliest pls

Answer:

Step-by-step explanation:

because the the LCD of them is 40

A farmer uses a lever to move a large rock. The force required to move the rock varies inversely with the distance from the pivot to the point the force is applied. A force of 50 pounds applied to the lever 36 inches from the pivot point of the lever will move the rock. Which function models the relationship between f, the amount of force applied to the lever and d the distance of the applied force from the pivot point?

Answers

Answer:f=1800/d Inverse proportion function. Provided f is in pounds & d is in inches.

Step-by-step explanation: the relationship between f & d is inverse proportion.

A constant k has to be derived from the relationship.

If f is inversely proportional to d then f=k(1/d)

K= f X d

= 50 X 36

=> constant K=1800.

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1) The points (-2,5) and (2,3) lie on the same line. Write the equation of the line in slope-intercept form. Type your answer in as y=mx+b. 2) The slope of a line is -12, and the line passes througin the point (0,8). Write the equation for the line in slope intercept form. Type your answer in as y=mx+b.

Which of the following expressions represents "three times the difference between t and y"?y - 3t 3t-y 3(t-y)