8 Level Problems (Challenging, Unfamiliar)
4. In a right triangle, the hypotenuse is 3 times the length of the shorter leg. The longer leg is 5cm. Find
the length of the hypotenuse.

Answers

Answer 1
Answer:

h = 15√3/4

= 6.4875

≈ 6.5 cm

Step-by-step explanation:

h = 3x

c₁ = 5 cm

c₂ = x

Pythagoras

h² = c₁² + c₂²

(3x)² = 5² + x²

9x² = 25 + x²

8x² = 25

x² = 25/8

x = √25/8

x = 5/2√2

x = 5√2/4

h = 3x

= 3×5√2/4

= 15√2/4 cm


Related Questions

what does 52 belong to?natural,rational,integer,whole ?

Answers

Answer:

The number 52 is a rational number if 52 can be expressed as a ratio, as in rational. A quotient is the result you get when you divide one number by another number. For 52 to be a rational number, the quotient of two integers must equal 52. ... Thus, the answer to the question "Is 52 a rational number?" is YES.

Step-by-step explanation:

Which graph correctly shows the solution of the compound inequality 3x 2 -12 and 8x < 16?

Answers

Answer:

8x < 16 it shows the solution of the compound inequality

The area common to both the graph inequalities represent the solution set.

What is inequality? Differentiate between equation and expression?  inequality : An inequality is used to make unequal comparisons between two expressions or numbers.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the compound inequality as -

3x > -12

and

8x < 16

Refer to the graph of the inequalities attached. The area common to both the graphs represent the solution set.

Therefore, the area common to both the graph inequalities represent the solution set.

To solve more questions on inequality, visit the link below -

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Which of the following expressions is equivalent to (x + 5)2?
O A. (x + 5)(x + 5) + 10(x + 5)
OB. (x - 5)(x + 5) + 10(x + 5)
OC. (x + 5)(x + 5) + 10(x - 5)
OD. (x - 5)(x - 5) + 10(x - 5)



Please someone help me this texts is so important and I need it done by the end of today!

Answers

Answer:

B

Step-by-step explanation:

Expand (x+5)^2 through binomial expansion and you get x^2+10x+25.

Break up the problem into little pieces like (x-5)(x+5) and 10(x+5)

Solve the first piece (x-5)(x+5) by doing something like FOIL.

x^2-25

Do the second piece

10x+50

When you add them together, it becomes x^2+10x+25, and (x+5)^2=(x-5)(x+5)+10(x+5).

Why might you expect most absolute value equations to have two solutions? Why not three or four?

Answers

Answer:

If the absolute value expression is not equal to zero, the expression inside an absolute value can be either positive or negative. So, there can be at most two solutions. Looking at this graphically, an absolute value graph can intersect a horizontal line at most two times.

Austin got 72% of the questions correct on his last math quiz if there were 25 total question how many did he answer incorrect

Answers

Answer:

Austin answered 7 questions incorrectly.

If 7p-4=8 , what is the value of p?

A)7/12

B)7/4

C)12/7

D)4/7

Answers

C) 12/7

Sol:-

7p=8+4

ஃ p=12/7.

Hope it helps you!!

Step-by-step explanation:

7p=8+4

7p=12

p=12/7

the correct answer is option A

what 200 times 6 div by 30

Answers

200x6= 1200 and 1200/30=40 so the answer would be 40

What is the value for X, Y, and Z?

Answers

Answer:

_________

z is 48

x is 48

y is 132

_________

Answer:

x+132=180 [ linear pair]

x=180-132=48

y=132[ opposite angles]

z=x=48 [ opposite angles]

if we add all these four angles we get 360 degree.

Mark it as brainliest!!!

Estimate the number of school-aged children in the city where the population is approximately 60,000, if 1 of every 10 citizens is a school-aged child. If 500 children can attend each school, about how many schools will the city need?​

Answers

1 out of 10 are school aged.

Divide total population by 10:

60,000 / 10 = 6,000 are school aged.

Each school holds 500, divide school aged by 500:

6,000 / 500 = 12

They would need 12 schools.

The number of schools the city with the population 60,000 requires are 12.

Given that, the number of school-aged children in the city where the population is approximately 60,000.

In population 1 out of 10 are school aged.

Divide total population by 10

60,000/10 = 6,000 are school aged

Each school have 500 children, so the number of schools are

6,000/500 = 12

Therefore, the number of schools the city needs are 12.

To learn more about the unitary method visit:

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The formula a = m – n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied. Solve the formula for the amount of the coupon n. A. n = a + m B. n = m – a C. n = a – m D. n = – m – a

Answers

Answer:

n = m - a

Step-by-step explanation:

Given that:

The expression of the formula  a = m - n

where;

a = actual cost of an item

m = original price

n = amount of coupon in dollars

The objective is to solve for the amount of the coupon.

In order to determine the amount of the coupon, we need to make n which is the amount of coupons in dollars the subject of the formula from the given expression.

So if a = m - n

a + n = m

n = m - a

What are the next two terms in the sequence?
5, 16, 27, 38 ...

Answers

Answer:

the next two terms are 49, 60

       

Answer:

49, 60

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence.

16 - 5 = 27 - 16 = 38 - 27 = 11

Thus to obtain the next term, add 11 to the previous term, that is

38 + 11 = 49

49 + 11 = 60

Anyone??

Which is the best estimate of
-18
-9
9
18

Answers

Answer:

18

Step-by-step explanation:

I'd did poses of elomanation

Answer:

d

Step-by-step explanation:

Originally, Juan borrowed $10, but his mother loaned him $3 more, so he borrowed a total of $13. He sells $25 worth of lemonade in his first week. After Juan pays his mother back the $13 he borrowed, his profit is $12.

Answers

Correct answer

Justification:

10+3 = 13

25-13 = 12

Answer:

12

Step-by-step explanation:

A plane is labeled H. 3 horizontal lines are shown. From top to bottom, line k is above the plane and lines n and w are on the plane. Vertical line m cuts through the horizontal lines and the parallelogram. Point x is at the intersection of lines m and n and indicates that m is at a right angle to line n. Lines n and w are parallel to each other. Which statement is true regarding the parallel and perpendicular lines in the diagram? k Parallel to n and w Perpendicular to m k Parallel to n and n Perpendicular to m w Parallel to n and n Perpendicular to m w Parallel to n and wPerpendicular to m

Answers

Answer:

c on edge

Step-by-step explanation:

i just did it

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is C.

What is a line segment?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. A line segment is a straight line with finite length, and thus, has two endpoints(points on either end).

The diagram for the given condition can be made as shown below. Now, from the image, the following conclusion can be made,

The two lines w and n are parallel to each other.The line m is perpendicular to n, this is because the angle between the two lines is equal to 90°. The two lines k and line n are also parallel to each other.

Further, if all the options are observed.

A.) k Parallel to n and w Perpendicular to m

The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.

B.) k Parallel to n and w Perpendicular to m

The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.

C.) w Parallel to n and n Perpendicular to m

Since both the parts of the statement are correct, therefore, it can be concluded that the given statement is correct.

D.) w Parallel to n and w Perpendicular to m

The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.

Learn more about Line Segment:

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A bacterial population is modeled by the function P (t) = 10,000/1+499e^-0.6t, where t is elapsed time in days. What was the initial population of bacteria?

1
20
36
499

Answers

Answer:

It's B. 20

Step-by-step explanation:

edge 2020

Answer:

B

Step-by-step explanation:

Edg2020

A. $35.00
B. $55.00
C. $70.00
D. $75.00
Luke opened a savings
account with a balance of
$0.00 and deposited $20.00.
During the next 2 weeks, he
made two more deposits for
$15.00 and $35.00. At the end
of the month, he made a
withdrawal that brought his
balance back to $0.00.
Assuming no interest was
earned, how much money
did Luke withdraw from his
savings account?
Students, draw anywhere on this slide!

Answers

Answer:

D, $75.00 because 35 plus 15 plus 20 is 75.

Round the following numbers to 2 decimal places 3526.48502 12.6433 0.2099

Answers

Step-by-step explanation:

3526.49 12.64 0.21

I hope this helps

Answer:

3526.49

12.64

.21

Step-by-step explanation:

1. On the left of the decimal place, take the third number and if it is = to or higher than 5, round the second number up by 1.

3526.485 becomes 3526.49

2. If it is lower than 5, then just leave the second number alone.

12.6433 becomes 12.64

3. If it is a decimal place number, just take the third number and if it is higher than 5, increase the second number.

.2099 becomes .21

Does anyone know the answer to this?
18t + (3b)t + 75

Answers

18+(3b)t+753(6t+bt+25

1. Are there more inches in a mile or second in a day?​

Answers

1day-24hours-60min-0.0167seconds

miles to inches = 63360

1 day is 24 hours, 24 hours is 1440 minutes, 1440 minutes is 86400 seconds

There is 63360 inches in a mile

describe the discontinutiy for the function f(x)= x^2+5/x-5

Answers

Answer:

f(x) = x² + 5 / x - 5

There is infinite discontinuity at x = 5. At this value, the graph becomes undefined because the denominator is 0.

how many strawberries will Maria need if she has three smoothies​

Answers

Answer:

how many dose she have

Step-by-step explanation:

Answer: 18 strawberries

Maria puts 6 strawberries in each smoothie she makes. She makes 3 smoothies altogether how many strawberries does Maria use in the smoothies? (i’m guessing is the real question)

Well she needs to put 6 strawberries in EACH of the 3 smoothies. The easiest way to find the answer is to multiply! 6 • 3 = 18! So, I hope this helps!

h(x) = 3x + 3
g(x)=-4x + 1
Find (h+ g)(10)
How to solve this ?

Answers

Answer:

h(x ) = 3 x+ 3

 g ( x ) = − 4 x + 1

( h +g ) ( x ) = 3 x + 3 − 4 x + 1 = − x + 4

( h + g ) ( 10 )

= − 10 + 4  

= − 6

Step-by-step explanation:

The table shows conversions of common units of length.

Approximately how many inches are in 2500 millimeters?

Please hurry up with your answer!!

Answers

Answer:

98.4252

Step-by-step explanation:

This is because 1 millimeter is 0.0393701 inches;2,500 millimeters =0.0393701 multiply 2,500=98.4252.

Answer:

It’s would be 98

Step-by-step explanation:

Have a good rest of your day:)

the least number which is divisible by 12 40 75​

Answers

Therefore 9600 is the greatest four digit number divisible by given numbers. Then, if we add 600 to 9600 then we can get least five digit number exactly divisible by given numbers. Hence 10209 is the least five digit number when divided by 12,40 and 75 leaves remainder 9.

Solve the quadratic equation by completing the square.
x2 + 8x + 19 = 0
What’s the answer ? Math algebra 2

Answers

Answer: x= 4 ± [tex]\sqrt{-3}[/tex]

Step-by-step explanation:

[tex]x^{2}[/tex] + 8x + 19 = 0     First subtract 19 from both sides

             -19    -19

[tex]x^{2}[/tex] + 8x           =  -19    Now to complete the square on the left side you will divide 8 by 2 and square the number that you will get and add it to both sides. If you divide 8 by 2 you get 4 and  4 squared is 16 .So add 16 to both sides.

x^2 + 8x + 16 = -19 + 16  Now factor the left side

(x+4)^2 = -3    Take the square root of both sides

(x+4) = ±[tex]\sqrt{-3}[/tex]        

Subtract 4 from both sides

x = ±[tex]\sqrt{-3} - 4[/tex]

Find the value of x of this triangle.​

Answers

Answer:

12x

Step-by-step explanation:

Answer: x = 35°

Step-by-step explanation:

A triangle adds up to 180°. Therefore, the equation to find the value of x is 110+2x = 180.Subtract 110 on both sides. 2x = 70Divide by 2 on both sides. x = 35°

A car rental company charges $19.99 per day and $0.17 per mile. Write an expression that gives the total cost in dollars to rent a car for d days and m miles.

I WILL GIVE BRAINLIEST TO THE BEST ANSWER

Answers

Answer= 19.99d + 0.17m

please answer the question

Answers

20 maybe but dont count on me I'm dumb

0.75a=-9 Please show workkkkk

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = - 12}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: \: 0.75a = - 9}}[/tex]

Divide both sides by 0.75 . Thenafter, Calculate it

[tex] \hookrightarrow{ \sf{ \frac{0.75a}{a} = \frac{ - 9}{0.75}}} [/tex]

[tex] \hookrightarrow{ \boxed{ \sf{a = - 12}}}[/tex]

The value of a is -12

Hope I helped!

Best regards!

~ TheAnimeGirl

Help quickly please~❤️❤️

Answers

Answer:

-6-b

Step-by-step explanation:

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