An isosceles triangle has two congruent side lengths of 20 inches.
The base of the triangle has a length of 32 inches. What is the height of the
triangle?
12 inches
10 inches
15 inches

Answers

Answer 1

Answer:

h = 12

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2

The legs are 32/2 = 16 and the height h

The hypotenuse is 20

16^2 + h^2 = 20^2

256 + h^2 = 400

h^2 = 400-256

h^2 = 144

Taking the square root of each side

h = sqrt(144)

h =12


Related Questions

i need the answer now!!

Answers

Answer:

10 ft^3

Step-by-step explanation:

if a cube is 1/3ft then 3 cubes = 1ft

then 30 cubes = 10ft^3

Solve for X
Show work!
Help!

Answers

Answer:

x=19

Step-by-step explanation:

The 2 angles are inside of a right angle.  We know this because of the little square in the corner. Therefore, they are complementary angles. When they are added together, they must equal 90 degrees.

3x+11+22=90

Combine like terms by adding 11 and 22

3x+33=90

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

33 is being added to 3x. The opposite of addition is subtraction. Subtract 33 from both sides.

3x+33-33=90-33

3x=90-33

3x=57

x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

3x/3=57/3

x=57/3

x=19

Answer:

X=19

Step-by-step explanation:

3x+11+22=90

3x+33=90

   -33   -33

——————-

 3x= 57

——   ———

3          3

———————

x= 19

The total population of students was 380. Based on the data, what is the best approximation for the total number of students who have a cell phone plan with company Y?

Answers

Answer:

114

Step-by-step explanation:

How did you figure out the number of windows on 10 floors?

Answers

Answer:

There are 40 windows on the 10th floor

Step-by-step explanation:

Since we know one cube has 4 "windows" (each hole on its side not counting top and bottom) we can calculate that for each "floor" 4 more windows are added. So in other words, if "x" equals the amount of "floors" the equation for solving this would be 4x = # of windows.

Solve for x: −8 x > 6 7 > x > 6 TONS OF POINTS WHO EVER HAVE THE BEST GET BRAINLIEST!!!!!!!

Answers

Answer:

7 > x > 6

Step-by-step explanation:

- 8 x > 67 > x > 6 will become  -8 x > 6 when you cancel out the 67 and the x .

Then you will calculate - 8 x > 6 which will equal to 7 > x > 6 .

So your answer would be your last option

I hope this helps :)

Five times the smallest of three consecutive odd integers is seven more than twice
the largest. Find all three consecutive odd integers.

Answers

Answer:

5, 7, 9

Step-by-step explanation:

Using the information given we get:

[tex]5x-7=2z[/tex]

[tex]x+2=y\\y+2=z\\x+4=z[/tex]

[tex]5x-7=2(x+4)\\5x-7=2x+8\\[/tex]

Add 7 to both sides

[tex]5x=2x+15[/tex]

Subtract 2x from both sides

[tex]3x=15[/tex]

Divide both sides by 3

[tex]x=5[/tex]

Using these equations:

[tex]x+2=y\\y+2=z\\x+4=z[/tex]

and

[tex]x=5[/tex]

We get:

[tex]x=5\\y=7\\z=9[/tex]

square root of 36x² if x is less than or equal to 0​

Answers

Answer:

342x I believe

Step-by-step explanation:

I have gotten my answer by dividing 36 and 2 and got 18 then 18 x 18 and got 342x (I am not sure if I am correct so do not blame me sir or miss).

Which situation below would represent a negative rate of change:
John's parents put $40 on his school account for lunch. Each day he pays $3 for
lunch. Let y represent the amount of money John has after x days in his school
account.
Judy is babysitting after school and charges $20 a day. Each day she gets paid, she
puts half of what she earns in a savings account. Let y represent the amount of
money Judy has in her bank account after x days.

Answers

Answer: John's situation

Step-by-step explanation:

Hi, to answer this question we have to write an equation for each situation.

John’s situation:

The amount of money that John has (y) is equal to his school account (40) minus the product of the number of days (x) and the amount he spends per day( 3)

y =40-3x

As days pass by, John has less money (negative rate of change)

Judy's situation

The amount of money that Judy has in her savings account (y) is equal to the product of the number of days (x) and the amount he saves per day (20/2)

y = x (20/2)

3 Euros can be exchanged for 22.41 Kroners. How many Euros can be exchanged for 100 Kroners?

Answers

the answer is 4.4 Euros

Answer:

13.39 Euros

Step-by-step explanation:

The ratio between Euros and Kroners is 3:22.41. This means for every 3 Euros we get 22.41 Kroners. This also means for every Euro we get 22.41/3 = 7.47 Kroners. To calculate the number of Euros that can be exchanged for 100 Kroners, we simply divide 100 Kroners by our conversion factor. 100/7.47 = 13.3868809

The area of this parallelogram is 120 mm2. Find the value of x. 9 mm 12 mm 15 mm 6 mm

Answers

Answer:

[tex]x=12\:mm[/tex]

Step-by-step explanation:

[tex]A=bh[/tex]

[tex]b \times h=120[/tex]

[tex]b \times 10=120[/tex]

[tex]b=120 \div 10[/tex]

[tex]b=12[/tex]

what is the inverse of the function y=4x+5

Answers

Answer:

the answer for this question is (y-5)/4=x

Check all restrictions on the domain of g circle h. x not-equals 0 x not-equals negative 2 x not-equals negative two-thirds There are no restrictions.

Answers

Answer: the answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = -2/3

Please answer the question stated below

Answers

4 3/4 + 5 1/8 + 0 + 6 1/4 + ? = 22
You need to get them all to have a common denominator.
3/4, 1/8, 1/4
To get them to the smallest fraction (/8)
3*2/4*2 = 6/8
1*2/4*2 = 2/8
4 3/8 + 5 1/8 + 6 2/8 = 22
4 + 5 + 6 + 3/8 + 1/8 + 2/8 + ? = 22
15 + 5/8 + ? = 22
15 5/8 + ? = 22
Subtract 15 5/8 from both sides.
? = 6 3/8

select the correct answer. witch is the correct simplified form of the expression ​

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-1/3 -1/2 = -5/6

1/2-1/4 = 1/4

The negative makes the reciprocal

x^1/4/y^5/6

What is the value of x in the equation 8 + 4 = 2 (x minus 1)? 5 StartFraction 11 Over 2 EndFraction StartFraction 13 Over 2 EndFraction 7

Answers

Answer:

7

Step-by-step explanation:

We can simplify the equation to

12 = 2x - 2

Add 2 to both sides

14 = 2x

Divide by 2

x = 7

Answer:

7

Step-by-step explanation:

Explain how the Quotient of Powers Property was used to simplify this expression.

three to the fourth power all over nine equals three squared

By simplifying 9 to 32 to make both powers base three and adding the exponents
By simplifying 9 to 32 to make both powers base three and subtracting the exponents
By finding the quotient of the bases to be one third and simplifying the expression
By finding the quotient of the bases to be one third and cancelling common factors

Answers

Answer:

The answer is option 2, by simplifying 9 to 3² to make both powers base 3 and subtracting the exponents.

Step-by-step explanation:

You have to make the expressions into the same base :

[tex] \frac{ {3}^{4} }{9} = \frac{ {3}^{4} }{ {3}^{2} } [/tex]

Next, you have to apply Indices Law :

[tex] {a}^{m} \div {a}^{n} \: ⇒ \: {a}^{m - n} [/tex]

[tex] {3}^{4} \div {3}^{2} [/tex]

[tex] = {3}^{4 - 2} [/tex]

[tex] = {3}^{2} [/tex]

By simplifying 9 to 3² to make both the powers base 3 as well as subtracting the exponents. A further explanation of the given question is below.

According to the question,

The equation will be:

→ [tex]\frac{(3)^4}{9} = \frac{(3)^4}{(3)^2}[/tex]

By applying the Indices law i.e.,

→ [tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

then, we get

→ [tex]\frac{3^4}{3^2}[/tex]

→ [tex]3^{4-2}[/tex]

By subtracting the powers, we get

→ [tex]3^2[/tex]

Thus the above answer i.e., option B) is the correct approach.

Learn more:

https://brainly.com/question/19660607

help! plz and thx! what is 4:08 - 1:15 = ?:? plz, help WITH AND WITHOUT REGROUPING thx!!!!!!! I will give u the brainiest! plz and thx!

REMEMBER... I WILL GIVE U THE BRAINLIEST!!!!!!!

Answers

Answer:

2:53

Step-by-step explanation:

I believe that you are subtracting times here, so have in mind that if the first number indicates hours, and the second number minutes, and you are asked to subtract more of one quantity (minutes for example) than what you have, you will need to convert some of the hours into minutes.

Recall that 1 hour equals 60 minutes.

in the difference   4:08 minus 1:15, you sre expected to subtract minutes from minutes and hours from hours. Now the number of minutes you need to subtract from 08 is 15 (larger than 08) so we need to convert 1 hour into minutes in the first expression, and then (with enough minutes to deal with), we can subtract:

4:08 is the same as 3:68 where we converted 1 hour to 60 minutes and added those 60 minutes to the existing 8 .

Now the difference can be performed:

3:68 - 1:15 = (3-1):(68-15) = 2:53

there are 50 cards in a pack and each card is either red or black
the ratio of the number of red cards to the number of black cards 1:1

10 black cards are removed from the pack

find the ratio of the number of red cards in the pack to the number of black cards in the pack
Give your answer in its simplest form


Please show your working out

Answers

Step-by-step explanation:

Ratio Red to Black is 1:1

Therefore, Red and Black has 25 cards respectively

If 10B cards are removed, then 25-10=15B cards left

Current ratio Red to Black is 25:15 and simplest form is 5:3

A ratio of 1:1 means there are the same number of red and black cards, so 25 of each. Take 10 black away and now there are still 25 red but only 15 black. The ratio is 25:15, which simplifies to 5:3 ( divide 25 and 15 by 5 because 5 is the greatest common factor of 25 and 15)

What is the value of (5 + 2)^2 - 9x3 + 2^3 ? Show all of your
work for full credit.

Answers

Answer:

30

Step-by-step explanation:

(5+2)=7

9x3=27

2^3=8

7^2 - 27 + 8 (evaluate)

7^2=49

49 - 27 + 8 (calculate)

=30

Answer plz!
Which choices are equivalent to the quotient below? Check all that apply.

Answers

Answer:

A, C, and E are correct

Step-by-step explanation:

Factor 4x2 - 16 using difference of two squares.

Answers

Answer:

4(x+2)(x-2)

Step-by-step explanation:

4x^2-16

4(x^2-4)

4(x+2)(x-2)

The difference of two squares formula is (a+b)(a-b), and it happens only when a^2 is minus b^2

So, 4x^2 − 16 = (2x + 4)(2x − 4).

Explanation:

4x2^ − 16 is of the form a^2 − b^2 (where a = 2x, b = 4), and as per the identity:

a^2 − b^2 = (a + b)(a − b)

So, 4x^2 − 16 = (2x + 4)(2x − 4)

What is the product?

(5 r + 2)(3 r minus 4)

15 r squared + 8
15 r squared minus 8
15 r squared + 14 r minus 8
15 r squared minus 14 r minus 8

Answers

________________________________

Hey!!

Solution,

(5r+2)(3r-4)

= 5r(3r-4)+2(3r-4)

= 15r^2-20r+6r-8

= 15r^2-14r-8

So the right answer is 15 r squared minus 14 r minus 8

Hope it helps

Good luck on your assignment

_________________________________

Answer:

15 r squared minus 14 r minus 8

Step-by-step explanation:

from my understanding that what I think it is :) have an awesome day!!!!!!

If the circumference of a circle is below 72 what is the length of AB

Answers

Answer: 12

Step-by-step explanation:

The circle is 360 degrees in total

360/6 = 60

72/6 = 12

-3x^2+6x+9=
WHY JUST WHY !!!! ?

Answers

Oh, my, goodness!!!!!! :)

You are cracking me up so much right now!!!!! :)

But, yeah, I hear ya! :)

Answer:

[tex]=-3\left(x+1\right)\left(x-3\right)[/tex]

Step-by-step explanation:

[tex]-3x^2+6x+9\\\mathrm{Factor\:out\:common\:term\:}-3:\quad -3\left(x^2-2x-3\right)\\-3x^2+6x+9\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\\mathrm{Rewrite\:}6\mathrm{\:as\:}3\cdot \:2\\=-3x^2+3\cdot \:2x+3\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(x^2-2x-3\right)\\\mathrm{Factor}\:x^2-2x-3:\quad \left(x+1\right)\left(x-3\right)\\x^2-2x-3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+x\right)+\left(-3x-3\right)[/tex]

[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+x\mathrm{:\quad }x\left(x+1\right)\\x^2+x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=xx+x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(x+1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-3x-3\mathrm{:\quad }-3\left(x+1\right)\\-3x-3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(x+1\right)\\=x\left(x+1\right)-3\left(x+1\right)\\\mathrm{Factor\:out\:common\:term\:}x+1\\=\left(x+1\right)\left(x-3\right)[/tex]

[tex]=-3\left(x+1\right)\left(x-3\right)[/tex]

Can someone please help me

Answers

Answer:

-10

Step-by-step explanation:

im not sure but maybe

Answer:

6

Step-by-step explanation:

b(x)=|x+4|

b(-10)=|-10+4| (subtitute -10 into x)

=|-6|

=6

because any num in modulus will become positive

What is the probability that a data value in a normal distribution is between a
Z-score of -0.56 and a z-score of 1.12? Round your answer to the nearest
tenth of a percent.
A. 34.9%
B. 58.1%
C. 73.3%
O O
D. 90.9%

Answers

Answer:

58.1

Step-by-step explanation:

ap3x

The line y=15x Intersex the quadratic function y=15x^2 at two points. what are the coordinates of the two points of intersection?

Answers

Answer:

D

Step-by-step explanation:

we can set up the equation as 15x = 15x^2

factoring we get

15x(x-1) = 0

So the solutions are when x are 0 and 1

this gives the coordinates

(0,0) and (1,15)

Classify the following triangle based on its shape.

A. Right
B. Isosceles
C. Equilateral
D. Scalene

Please answer this

Answers

Answer:

A

Step-by-step explanation

the square in the corner

The shape of the given triangle is right angle.

The square in the corner

We have given that,

A. Right

B. Isosceles

C. Equilateral

D. Scalene

We have to determine the shape of the given triangle.

What is the right angle?

A right angle is an angle of exactly 90 degrees or \pi /2 radians corresponding to a quarter turn. If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles.

The shape of the given triangle is right angle.

To learn more about the right angle visit:

https://brainly.com/question/101834

#SPJ2

I need a answer for this

Answers

Answer:

I think is A but I could be wrong.....But I don't think so because I did the math lol

Step-by-step explanation:

For the following fraction ,tell whether you will add ,subtract, or multiply the exponents

Answers

Answer:

Add the exponents

Step-by-step explanation:

Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers.

EX:

x multiplied by  x^5=x^6

Answer:

We add them

But for negative values we always keep the negative value as a decrease.

4 x -4 as powers still becomes -8

and not -16

Step-by-step explanation:

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.

2^4 x 3^-4 = 16/81 shows and proves we multiply them and just use adding as a short cut.

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