Mathematics Middle School

One leg of a 45 - 45 - 90 triangle measures 12 centimeters what is the length of the hypotenuse

Answers

Answer 1
The angles of the triangle are given as to have measures of 45°-45°-90°. This entails that the triangle is an isosceles triangle where the 2 legs of the triangle are of equal length. We calculate as follows:

c² = a² + b²

c² = 2a²

4² = 2a²

a = 2√2

Hope this answers the question.


Answer 2
Hello!

Since this triangle is what I like to call a "45er", and both legs of a 45er are equal, we can now apply the Pythagorean Theorem to find the measure of the hypotenuse.

[tex]12^2 + 12^2 = c^2 144 + 144 = 288 \sqrt{288} = 16.9 [/tex] (Rounded)

Your answer is 16.9. Round this to 17 if the question is looking for a whole number. :)

Related Questions

There are 24 students 8 of the students are boys write the amount of boys in the class as a fraction in its simplest form

Answers

8/24=1/3
1/3 is your answer
Because there are 8 boys out of 24, you'd put the 8 over the 24 in a fraction: 8/24. "Simplest form" means to reduce the fraction as much as you can. 8/24 can be reduced to 1/3 because 8 is 1/3 of 24.

So the answer is 1/3.
Hope this helps!

what is the radius of a circle with a circumference 31 m?

Answers

The radius would be 4.9338 m

Answer: 62 pi m.

Step-by-step explanation: To find the area of the circle shown, let’s start by writing down the formula for a circle.

simplify the imaginary number (square root symbol) -8

Answers

sqrt(-8) = sqrt(-1)*sqrt(8)
             = i           *sqrt(4)*sqrt(2)
             = i          * 2*sqrt(2)          (answer)

Which of the following situations most likely result in a negative correlation when the data is displayed on a scatterplot?

Answers

I am pretty sure that the answer is a because the rest of them show a positive correlation. And one of hem just scatters. 
Hope this kinda helps.

I need these all questions is for a grade

Answers

1. 13
2. by multiplying by 10
3. 13.41
4. A. 10+9+.90+.08
B. nineteen point Ninety Six
1. 13
2. by multiplying by 10
3. 13.41
4. a: 10+9+.90+.08
    b: 19.96

What is the distance between -10 and 25 on a number line?
A) -35
B) -15
C) 15
D) 35

Answers

Since I cannot draw a number line here, imagine ten jumps below 0 and 25 jumps above 0. To find the distance between -10 and 25, we add the numbers together, ignoring the negative sign.

= 10 + 25
= 35 distance


ANSWER: The distance between -10 and 25 is (D) 35.

Hope this helps! :)

Ellie is a 45-year-old woman who has not yet planned for retirement. She would like to retire at age 67. Answer each question using complete sentences.

Part I: In what type of investments should Ellie deposit her money? Why?
Part II: At what age, or point in your life, would you like to start saving for retirement?
Part III: In what type of investments would you like to deposit your money into when you start saving for retirement? Why?

Answers

i. Exchange traded funds (ETFs) equally distributed among the US stock fund, a US bond fund, an international stock fund, and an international bond fund. This is because ETFs provides diversification and low expenses.

ii.The  perfect time to start saving is as soon as you have a full-time job. If the employer has a tax deferred investment plan, and if the employer matches some of your investment then you'll be ready to get extra benefits.

iii. I'd put my investments in ETFs equally distributed among a US stock fund, an international fund, a US bond fund and an international bond fund. This reduces expenses through diversification. 

Find the unknown. = (65 × 3) + 9

Answers

( 65 x 3) + 9

  65 x 3 = 193 add 9
 202 should be your answer

Which measurement would Rachel need to know when ordering wallpaper for the kitchen?

A.
the total perimeter of wall space to be covered

B.
the total area of wall space to be covered

C.
the thickness of the wallpaper

D.
the perimeter of the wallpaper

Answers

B, the total area of wall space to be covered.

Perimeter is like fencing, that won't tell us how much wall there is to paint.

Find the range of the relation.

A.) {–4, –2, –1, 2}

B.) {–4, 4}

C.) {–3, –2, 0, 2}

D.) {–4, –2, –1, 0, –2}

Answers

C. these are the y values shown on the graph

The area of the base of the regular quadrilateral pyramid is 36 cm2 and the area of a lateral face is 48 cm2. Find: Surface area of the pyramid

Answers

Surface Area (SA) = Base Area (Ab) + Lateral Area (AL)

Base Area = 36cm^2
Lateral Face Area = 48cm^2

*If this is a quadrilateral pyramid, then it has 4 lateral faces, so just multiply the "one" lateral face by 4.

Lateral Area (AL) = 4 x Lateral Face Area
-> AL = 4 x 48 = 192 cm^2

So:

SA = Ab + AL
-> SA = 36 + 192
-> Surface Area = 228 cm^2

Answer:

228

Step-by-step explanation:

Which is the simplified form of the expression (2^-2) (3^4)^-3 x (2^-3) (3^2) ^2?


A: 1/ 2^36 3^48

B: 1/ 3^8

C: 3^8

D:2^36 3^48

Answers

[tex](2^{-2})(3^4)^{-3}\times(2^{-3})(3^2)^2=(2^{-2})(2^{-3})\times(3^4)^{-3}(3^2)^2\\\\=2^{-2+(-3)}\times(3^{4\cdot(-3)})(3^{2\cdot2})=2^{-5}\times(3^{-12})(3^4)\\\\=2^{-5}\times3^{-12+4}=2^{-5}\times3^{-8} =\dfrac{1}{2^5\cdot3^8}\\\\\text{used:}\\\\a\cdot b=b\cdot a\\\\a^n\cdot a^m=a^{n+m}\\\\(a^n)^m=a^{n\cdot m}[/tex]

The answer is D

Just took the test

Hannah made 0.7 of her free throws in a basketball game.Abra made 8/10 of her free throws.Dena made 3/4 of her free throws.Who was the best shooter?

Answers

Let's convert them all into decimals! Hannah has 0.7, Abra has 0.8, and Dena has 0.75. Now, which one has the most...Abra! Abra is the best shooter!
Hope this helps!

Get them all to the same form. Let's make them all fractions.

0.7 = [tex] \frac{7}{10} [/tex]

Now, let's get them all to a common denominator. 20 is the best choice.

You can use proportions to work this out. 

[tex] \frac{7}{10} = \frac{14}{20} [/tex]
We just doubled the bottom; what you do to the bottom, you must do to the top.

[tex] \frac{8}{10} = \frac{16}{20}[/tex]
Once again we doubled the bottom, so we doubled the top as well.

[tex] \frac{3}{4} = \frac{15}{20} [/tex]
We multiplied the denominator by 5 to get it to 20. In order to keep it the same fraction, you must multiply the numerator by 5 as well. 

Abra was the best shooter with [tex] \frac{8}{10} [/tex] of her free throws made.

A rectangle with opposite sides that are not congruent

Answers

Is not a rectangle. A rectangle is a rectangle BECAUSE it's opposite sides are congruent.
the answer is parallelogram

BRAINLIEST if correct
Does the median or mean better represent the data? And why? {20,28,35,40,132}

Answers

Okay so median is the number in the middle and mean is when you add them all up and divide by how many numbers there are 

20,28,35,40,132 

So 35 is the median 
and the mean is 20 + 28 + 35 + 132 + 40 = 255 / 5 = 51

the mean is a better way to represent the data because it does not just pick a number from the set of numbers it calculates the average 

6×2900÷3 what is that squared and why will it be that number

Answers

I'm assuming you mean the whole expression is squared?

Remember your order of operations.
PEMDAS- parentheses, exponents, multiplication, division, addition, subtraction. Work inside the parentheses first. Within the parentheses, multiply before dividing.

=(6×2900÷3)^2
multiply first within parentheses

=(17,400÷3)^2
divide next

=(5,800)^2
square (or multiply 5800 by itself)

=5800 * 5800

=33,640,000


ANSWER: 33,640,000 is the answer because according to the order of operations (PEMDAS), we work inside the parentheses first. Within the parentheses we multiply first and then divide. Finally we square that answer.

Hope this helps! :)

Find the area of a triangle bounded by the y-axis, the line
f(x) = 34 − 4 x,
and the line perpendicular to "f" that passes through the origin.

Answers

The area is 68.47.

A drawing of the triangle is attached.

We first plot the y-intercept of the line given to us, f(x)=34-4x.  This is in the form f(x)=mx+b, so the y-intercept, b, is 34.  

Next we use the slope to find the next points of the line.  The slope is -4, which can be written as -4/1 (rise/run).  This means from the y-intercept, we go down 4 and over 1 to plot the next point, and continue in this manner.  We now have the y-axis and this line drawn.

Next we use the slope of the line to find the slope of the perpendicular line described.  Two lines are perpendicular if their slopes are negative reciprocals of each other.  The slope of the first line was -4/1; this means the slope of this line must be 1/4.  We also know this point goes through the origin, so 0 is the y-intercept, and we have the equation f(x)=1/4x+0.

To graph this, plot a point at 0, the y-intercept.  The slope is 1/4, so we go up 1 and over 4 to the next point.  This happens to be on the line we previously drew.

To find the area of this triangle, we need to identify the base and height.  The height will be perpendicular to the base.  The two sides that form a right angle are the bottom and the right hand side, so the bottom is the base and the right hand side is the height.

Now we find the length of each of these sides using the distance formula.  For the height:

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(34-1)^2+(0-4)^2} \\ \\=\sqrt{33^2+(-4)^2}=\sqrt{1089+16}=\sqrt{1105}\approx33.24[/tex]

To find the length of the base:
[tex]d=\sqrt{(0-1)^2+(0-4)^2}=\sqrt{(-1)^2+(-4)^2}=\sqrt{1+16}=\sqrt{17} \\ \\\approx4.12[/tex]

The area of a triangle is given by A=1/2bh:
A=1/2(33.24)(4.12) = 68.4744 ≈ 68.47

A mirror frame in the shape of an oval is shown below. The ends of the frame form semicircles: An oval is formed by a rectangle with semicircles at each end. The length of the rectangle is 54 inches. The width of the rectangle is 27 inches. Which of the following is the perimeter of the inner edge of the frame? (π = 3.14) 192.78 inches 246.78 inches 277.56 inches 331.56 inches

Answers

It would be 192.78!!!

Answer:

The answer is 192.78 inches

Step-by-step explanation:

An oval is formed by a rectangle with semicircles at each end. We can visualize this easily.

The length of the rectangle is 54 inches.

The width of the rectangle is 27 inches.

The perimeter of rectangle is = [tex]2(L+W)[/tex]

= [tex]2(54+27)[/tex]

= 162 inches

And because there are two semicircles, we can combine them to form a circle. So, perimeter of a circle is called a circumference.

The width of the rectangle forms the diameter, so its half will be the radius.

r = [tex]\frac{27}{2}=13.5[/tex]

The circumference is given by : [tex]2\pi r[/tex]

= [tex]2\times3.14\times13.5=84.78[/tex] inches

Now as the described oval shape is a complete figure without lines inside, we will subtract the width of both sides of the rectangle from the complete perimeter.

The complete perimeter is = [tex]162+84.78=246.78[/tex] inches

The inner edge perimeter will be = [tex]246.68-2(27)[/tex] = 192.78 inches

Write the fractional equivalent (in reduced form) to each number.

0.3
0.125
0.16
0.1
0.6
0.2
0.75

Answers

Answer:

0.3=1/3

0.125=1/8

0.16=1/6

0.1=1/10

0.6=2/3

0.2=1/5

0.75=3/5

hope this helps sorry if it dont please give me brainlest im new

The fractional equivalent 3/10, 1/8, 4/25, 1/10, 3/5, 1/5 and 3/4 which will Rational Number.


What is Rational Number?

Numbers that may be expressed in the form p/q, where p and q are integers and q0, are considered rational numbers. Because fractions cannot have a negative numerator or denominator, they differ from rational numbers in this respect. Because of this, the numerator and denominator of a fraction are whole numbers (denominator 0), unlike in the case of rational numbers, when they are both integers.

So to convert a fractional to reduce form we have to divide by 10 to power how many digits thereafter decimal point, and make sure that numerator or denominator doesn't have common divisible.

.3 = 3/10

.125 = 125/1000 = 1/8

.16 = 16/100 =  4/25

.1 = 1/10

.6 = 6/10 = 3/5

.2 = 2/10 = 1/5

.75 = 75/100 = 3/4

Hence the answers will be 3/10, 1/8, 4/25, 1/10, 3/5, 1/5 and 3/4 in the rational p/q form.

Learn more about Rational Number , by the following link

https://brainly.com/question/19079438

#SPJ2

Kamila has two number cubes each labeled 1 to 6. She is going to conduct an experiment by tossing both cubes a total of 150 times. She will find the sum of the two numbers in each role

a. Possible outcomes? __________
b. Probability of tossing a sum of six? _________
c. How many times should Kamila toss a sum of 7? _________
d. How many times should Kamila toss a sum of 10 or greater? _______

Answers

a) There are 36 possible outcomes.
b) The probability of a sum of 6 is 5/36.
c) She should roll a sum of 7 45 times.
d) She should roll a sum of 10 45 times.

Explanation
a) There are 6 outcomes for the first die and 6 outcomes for the second one.  By the fundamental counting principle, there are 6*6 = 36 outcomes for both dice together.

b) The ways to get a sum of 6 are:
1&5; 2&4; 3&3; 4&2; 5&1.  There are 5 possibilities out of a total of 36, or 5/36.

c) The ways to get a sum of 7 are:
1&6; 2&5; 3&4; 4&3; 5&2; 6&1.  There are 6 out of 36, or 6/36=1/6.  Since she is rolling the dice 150 times, she should get a sum of 6
1/6(150) = 150/6 = 45 times.

d) The ways to get a sum of 10 or more are:
4&6; 5&5; 6&4; 5&6; 6&5; 6&6

There are 6 ways out of 36, or 6/36 = 1/6.  Since she is rolling the dice 150 times, she should get a sum of 10 or more
1/6(150) = 150/6 = 45 times.

Answer:

Step-by-step explanation:

a) When two number cubes are thrown possible outcomes are

[tex]6x6  =36[/tex]

b) Probability of tossing a sum of 6

Favourable outcomes = (1,5)(5,1)(2,4) (4,2) (3,3)  

Hence probability =[tex]\frac{5}{36}[/tex]

c) For getting 7 favourable outcomes are

(1,6)(2,5)(3,4)(4,3)(5,2)(6,1)

i.e one out of 6 chances.

Hence in 150 times Kamala should toss a sum of 7 ---  [tex]\frac{1}{6} *150 =25[/tex]

d) Favourable outcomes for sum of 10 or greater

= (4,6) (6,4) (5,5) (5,6)(6,5)(6,6)

Probability for getting sum of 10 or greater = [tex]\frac{6}{36} =\frac{1}{6}[/tex]

No of times Kamila should toss 10 or greater

= [tex]\frac{150}{6} =25[/tex]

use the graph of y=sin0 to find the value of sin 0 for each value of 0 270°. answers -0.4, -0.8, -0.6, -1 please help ASAP

Answers

we have that
y=sin O
for O=270°
find the value of sin O

we know that
270 degrees --------> convert to radians-------> is equal to 3pi/2

using a graph tool
see the attached figure

the value of sin O for O=3pi/2  is -1

the answer is
-1
Refer to the image, the 270 degrees corresponds to 3/2 pi. 

Based on the graph, the value of sin(270) is -1.

So, the answer is -1.

plz help 1:There are 15 people in a book club. Ten people read for an average of 65 minutes each day. The remaining people read for an average of 35 minutes each day.

What was the average reading time for the entire book club each day?

Enter your answer in the box.

2:At the karate school, Class A has 8 students with an average age of 6 years. Class B has 12 students with an average age of 9 years. The classes combine for a group workout.

What is the average age of the combined classes?

Enter your answer as a decimal in the box.

3:Last year the sales at a bookstore were 75% fiction books, and 25% nonfiction books.

The average cost of a fiction book was $15. The average cost of a nonfiction book was $16.

What was the average cost of all fiction and non-fiction books sold at the bookstore last year?

Enter your answer as a decimal in the box.

4: At a tennis event, 10% of

Answers

#1) 55
#2) 7.8
#3) $15.25

For #1, 
(65(10)+35(5))/15 = 825/15 = 55

For #2, 
(8(6)+12(9))/20 = 156/20 = 7.8

For #3, 
0.75(15)+0.25(16) = 15.25
I know the first question answer is 55 i did the test. hope this helps :)

solve this equation using the radical equation method

Answers

The domain:
[tex]3x+6\geq0\ \ |-6\\3x\geq-6\ \ \ |:3\\x\geq-2\\\\D:x\in\left< -2;\ \infty\right)[/tex]

[tex]2x=\sqrt{3x+6}-1\ \ \ |+1\\\\2x+1=\sqrt{3x+6}\ \ \ \ |^2\\\\(2x+1)^2=\left(\sqrt{3x+6}\right)^2\ \ \ |use:\ (a+b)^2=a^2+2ab+b^2\\\\(2x)^2+2\cdot2x\cdot1+1^2=3x+6\\\\4x^2+4x+1=3x+6\ \ \ \ |-3x-6\\\\4x^2+x-5=0\\\\4x^2-4x+5x-5=0\\\\4x(x-1)+5(x-1)=0\\\\(x-1)(4x+5)=0\iff x-1=0\ \vee\ 4x+5=0\\\\x=1\ \vee\ 4x=-5\\\\x=1\in D\ \vee\ x=-1.25\in D[/tex]

[tex]Answer:\ \boxed{x=-1.25\ \vee\ x=-1}[/tex]

How do you find the area of this compound shape?

Answers

break the shape into 2 different ones, there is a triangle on top and a half circle on the bottom:

the radius of the circle is 3 yards, so the diameter would be 6 yards diameter = 2 x radius)

the diameter of the circle is also the base of the triangle.
 the height f the triangle is 5 yards  formula for area of a triangle is 1/2 x b x h

so you have 1/2 x 6 x 5 = 15 square yards

the area for a circle is PI x r^2
 so you have 3.14 x 3^2 = 28.26 for the full circle so divide this by 2 for the half circle:
 area of half circle = 28.26 / 2 = 14.13 square yards
 now add the area of the triangle and half circle together:

14.13 +  15 = 29.13 square yards


The function rule for the following graph is y = 2x + 2. What is the value of y in the ordered pair (2, y)? 24 4 10 6

Answers

Out of the ordered pair the 2 would be the x so you would need to plug in 2 for x in the equation so it would look like this

y=2(2)+2
finally solve for y
4+2
6=y 
6 is your answer

Lori is buying a roll of wrapping paper. There are 10 birthday designs, 6 holiday designs, 3 wedding designs, and 5 baby designs. How many ways can Lori choose a roll of wrapping paper? A. 900 B. 300 C. 34 D. 24

Answers

Answer:

D. 24

Step-by-step explanation:

10 + 6 + 3 + 5 = 24

Answer:

24

Step-by-step explanation:

what is (3x-4)^2 in expanded form

Answers

(3x-4)(3x-4) is the answer because when something is squared, it's just multiplying itself by itself, this also applies to expressions.

The expanded form of the given mathematical expression is [tex]3x^2 -24 +16[/tex].

Given the following expression:

[tex](3x-4)^2[/tex]

To write this mathematical expression in an expanded form:

In this exercise, you're required to write the given mathematical expression in an expanded form. Thus, we would expand the expression by applying the perfect-square trinomial.

The perfect-square trinomial.

Mathematically, the perfect-square trinomial is given by this mathematical expression:

[tex](a+b)^2=a^2+2ab +b^2[/tex]

Comparing the expressions, we have:

a = 3xb = -4

Substituting the values, we have:

[tex](3x-4)^2=3x^2+2(3)(-4) +(-4)^2\\\\(3x-4)^2=3x^2-24 +16[/tex]

Read more on mathematical expressions here: https://brainly.com/question/13170908

What does this mean???

Answers

I'm assuming the problem wants you to enlarge the figure by 2.

Multiply the area you got for the triangle by 2. That will be it's new area.

A pet store had 4 cats to feed. If they only had one fifth of a bag of cat food and each cat got the same amount, what fraction of the bag would each cat get?

Answers

Each cat would get 1/20 of the whole bag of cat food. 
4 cats and 1/5 of a bag
When dividing fractions you could turn the fraction into a decimal or Keep Change Flip

Decimal: .2 divided by 4 = .05
KCF: 1/5 x 1/4 = 1/20

The answer is 1/20 or .05

Ana helped her mom this weekend. She earned $25. On Monday she purchased snacks for herself and her friends and spent $6.50. On Tuesday she purchased comic books and a flashlight at Target for $15.25. She then purchased a drink for $3.25.
How much money does she have left? Explain.

Answers

Hi there!

In order to figure out how much Ana has left, let's first figure out how much she spend. We'll add together 6.50 + 15.25 + 3.25, which equals 25. Then, we'll subtract the amount she spent from the amount she earned. 25 - 25 = 0 Therefore, Ana has no money left.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
she as $0 left 

hope this helps 
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