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

Rewrite 4×4×4×4×4 using an exponent.

Answers

Answer:

\(4^{5}\)

Step-by-step explanation:

We have been learning about this, and this is how you do it

four to the fifth power
Rewrite 44444 using an exponent.

Write the number that comes next in the sequence. 305, 255, 205

Answers

Answer:

155

Step-by-step explanation:

The pattern is to subtract 50. 205-50=155

Julius went fishing on Saturday morning. He took a cooler to store the fish that he caught. The cooler could hold no more than 6 large fish. Write an inequality that represents how many fish the cooler could hold.
A: 6 < f
B: 6 ≤ f
C: 6 > f
D: 6 ≥ f

Answers

Answer:

Step-by-step explanation:

The answer is 6 ≤ f since the question says no more than 6 which means it can contain 6 or fewer large fishes

the answer is b f is greater than or equal to 6

Can you please help find z?

Can you please help find z?

Answers

Answer:

the angle for z° is 96°

Step-by-step explanation:

Since we already know 2 of the angles and that y=18° because both of the lines opposed to y are straight, so subtract all of what we know: 360-(64+18+18)=260°. x also has straight lines with the 64°, so subtract another 64°, then the equation will be 360°-(64+64+18+18), so z should equal 196, but there are 2 z angles, so divide it by 2 and the answer should be z°=96°

The answer is Z=96.

624.98+t=502.13 what is the answer

Answers

Answer: t=-122.85

Step-by-step explanation:

you subtract 502.13-624.98= -122.85 but because you have t left over the answer is t= -122.85

1. Subtract

502.13-624.98

502.13
-624.98
= -122.85

ANSWER: -122.85

Which expression is equivalent to 2E-3/2E-5

a. 2E2
b. 1/2E2
c. 2E8
d. 1/2E8
E=exponent

Answers

Answer:

a 2E2

Step-by-step explanation:

\(\frac{2^{-3} }{2^{-5} }\)  When powers have the same bases and you are dividing, you subtract the exponents.

\(2^{-3 - -5}\) = \(2^{-3+5}\) = \(2^{2}\)

when powers have the same bace but it is going to be a. 2e2

(Scatter Plots MC)

Jordan compared 10 books at the school library. The following table shows the number of chapters and the total number of pages for each book.


Number of Chapters 3 4 5 8 10 12 13 14 16 20
Total Pages 18 38 45 85 76 145 138 160 180 220

Which of the following representations is most appropriate to show the relationship between the number of chapters and the total pages of a book?
scatter plot titled school library, with the x axis labeled number of chapters ranging from 0 to 20 and the y axis labeled total pages ranging from 0 to 275 with points at 3 comma 18, 4 comma 38, 5 comma 45, 8 comma 85, 10 comma 76, 12 comma 145, 13 comma 138, 14 comma 160, 16 comma 180, and 20 comma 220
line graph titled school library, with the x axis labeled number of chapters ranging from 0 to 20 and the y axis labeled total pages ranging from 0 to 275 with points at 3 comma 18, 4 comma 38, 5 comma 45, 8 comma 85, 10 comma 76, 12 comma 145, 13 comma 138, 14 comma 160, 16 comma 180, and 20 comma 220
scatter plot titled school library, with the x axis labeled number of chapters ranging from 0 to 38 and the y axis labeled total pages ranging from 0 to 450 with points at 3 comma 18, 4 comma 38, 5 comma 45, 8 comma 85, 10 comma 76, 12 comma 145, 13 comma 138, 14 comma 160, 16 comma 180, and 20 comma 220
line graph titled school library, with the x axis labeled number of chapters ranging from 0 to 38 and the y axis labeled total pages ranging from 0 to 450 with points at 3 comma 18, 4 comma 38, 5 comma 45, 8 comma 85, 10 comma 76, 12 comma 145, 13 comma 138, 14 comma 160, 16 comma 180, and 20 comma 220

Answers

Answer:

Step-by-step explanation:

yyyyyyyyyyyyyyyyyyyyyyyyyyy

The most appropriate to show the relationship between the number of chapters and the total pages of a book is Option A.

Describe Graph?

A graph is a visual representation of data or information, often used in mathematics to illustrate relationships between variables or to present data in a clear and concise way. There are several types of graphs, including line graphs, bar graphs, scatter plots, and pie charts, each with its own unique features and uses.

Line graphs are commonly used to show changes over time or to plot continuous data. They consist of a series of points connected by a line, with the x-axis representing the independent variable and the y-axis representing the dependent variable. Line graphs can show trends or patterns in the data and can be useful for making predictions or drawing conclusions.

Bar graphs are used to compare data between different categories or groups. They consist of a series of bars, with the height of each bar representing the value of a particular category or group. Bar graphs can be used to compare data visually and can be particularly effective for showing differences between groups.

Scatter plots are used to show the relationship between two variables. They consist of a series of data points plotted on a coordinate plane, with each point representing the value of both variables for a single observation. Scatter plots can show patterns or trends in the data and can be useful for identifying correlations or making predictions.

The most appropriate to show the relationship between the number of chapters and the total pages of a book is Option A.

To know more about relationship visit:

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(Scatter Plots MC)Jordan compared 10 books at the school library. The following table shows the number

The data below represents the relationship between the age in months and the height in centimeters. What is the trend?

perfect positive correlation
high positive correlation
low positive correlation
no correlation

The data below represents the relationship between the age in months and the height in centimeters. What

Answers

High positive coorelation

Answer:

high positive correlation

Step-by-step explanation:

btw, thx for the pts

there are 12 broken lightbulbs in a box of 200. what percent of the lightbulbs are broken

Answers

Answer:

6%

Step-by-step explanation:

Answer:

6%

Step-by-step explanation:

Because if you do 200/2 you get 100% which is the normal percentage and then you do 12/2 which equals 6, so the percent of lightbulbs that are broken is 6%.

Someone help me with this ASAP!!

Someone help me with this ASAP!!

Answers

Answer:

19 1/2

Step-by-step explanation:

I was doing this half a decade ago, so I'm pretty sure it's right

Answer: 19 1/2 minutes
Explanation: you multiply 13 by 1 1/2

Bob will spend at most $31 on gifts. So far, he has spent $18. What are the possible additional amounts he will spend? Use c for the additional amount (in dollars) Bob will spend. Write vour answer as an inequality solved for c.

Answers

Answer:

Step-by-step explanation:

31-18=13

C >31-18

C>13

The answer is C>13!
Hope it helped

A survey of all beings on planet kent found that 60% preferred tott juice to all other juices. if 12 beings preferred tott juice, how many beings were surveyed altogether?

Answers

Answer:

20 people were surveyed

Step-by-step explanation:

12 is 60% of what?

Need help Urgent !!!!
Answer the question on the image.

Need help Urgent !!!!Answer the question on the image.

Answers

144 if a full circle makes 360 and you subtract 72 from it is 288 then you divide it by 2 you get 144. Don’t know if i’m right double check incase!

The international space station has small cupboards that are used for storage. A cupboard is drawn below (redrew by me cause I'm using chrome book and computer)
1. What is a formula that can be used to find the area of one triangular section of the door?
2. How do you know the formula will work?

The international space station has small cupboards that are used for storage. A cupboard is drawn below

Answers

Answer:

\(A=\frac{ab}{2}\) or \(A = a *\sqrt{c^2-a^2} /2\)

Step-by-step explanation:

Depending on the values you take depends on the equation you would use to solve for the area of a right triangle(the first answer accounts for measuring both arms(the sides connected to the 90 degree angle(a and b)), where as the second answer accounts for using the hypotenuse and one of the arms). That means that a 90 degree angle is involved, or as illustrated here, the square in the bottom right corner. If this were a non-right angle triangle, a different formula utilizing the height of the triangle would be used instead.

\(A = \frac{h_{b}+b}{2}\)

Since the right angle exists, a height is already given using one of the arms of the triangle in its place. We can also confirm it is a triangle by adding up all degrees of the triangle, in which it would equal 180 degrees confirming it is indeed a triangle as well.

By using trigonometric relations we will see that the area is:

How to find the area of one triangular section?

Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.

Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).

h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:

tan(60°) = x/h

x = tan(60°)*h

Then our two catheti are h and tan(60°)*h.

This means that the area will be:

Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).

If you want to learn more about right triangles:

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The international space station has small cupboards that are used for storage. A cupboard is drawn below
The international space station has small cupboards that are used for storage. A cupboard is drawn below

You borrow $10,000 to buy a car. The simple interest rate is 3%. You pay the loan off after 6 years. What is the total amount you paid for the loan?

Answers

Answer:

The total amount of money needed to pay off the car after 6 years would be $11,800.

Step-by-step explanation:

Write down the facts:

The car costs $10,000The interest rate is 3%And you finished paying the loan off after 6 years

Interest = $10,000 * 0.03 * 6

This being $10,000, 3% interest rate and over 6 years.

Interest= $1800

This amount we found is the additional amount (interest) you have to pay with the $10,000. Now, to find the total amound we add the interest and $10,000.

Total amount = 10,000 + $1800

Total amount = $11,800

Therefore the total amount paid over 6 years (including the 3% interest rate) would be $11,800. I hope this helped!!!

$11800 is the answer

A (2,1)
B (1,3)
C (5,5)

Suppose a rectangle ABCD has the coordinates shown.

Find the coordinates of point D.

Answers

Answer: (6,3)

Step-by-step explanation:

The midpoint of AC and BD are the same because a rectangle's diagonals cut each other in half.

D = A + C - B

D = 2 + 5 - 1 = 6

D = 1 + 5 - 3 = 3

D = (6, 3)

I think your answer would be (6,3)

Luis is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 12 inches × 13
1
3
inches. He needs to cut another rectangle that is 10
1
2
inches by 10
1
3
inches. How many total square inches of construction paper does Luis need for his project?

Answers

Answer: 356 total square inches

Step-by-step explanation: (12*13)+(10*10)=156+100=356 square inches

Help me please il give 20 points!

Help me please il give 20 points!
Help me please il give 20 points!
Help me please il give 20 points!

Answers

Answer: 1. a. 15     b. 11     c. 2     d. 7     e. 5.5

2.  Stem:                   Leaf:

        1                           9

        2                         5, 9

        3                        3, 3, 8

        4                        0, 7, 9

        5                          4, 5

        6                           1, 5

        7                           2, 7

        8                             1

3. a. 13 inches        b. I'm pretty sure that it is the second quarter because there is more snow.           c. The first quarter because it's section is more spread out among the numbers.

Step-by-step explanation:

Answer: 1. a. 15 b. 11 c. 2 d.7 e. 5.5
2. Stem:
Leaf:
9
2
5, 9
3
3, 3, 8
4
0, 7, 9
5
4, 5
6
1,5
7
2, 7
8
1
3. a. 13 inches
b. I'm pretty sure that it is
the second quarter because there is more show.
c. The first quarter because it's
section is more spread out among the numbers.
Step-by-step explanation:

pls help me with dis bro its aleks

pls help me with dis bro its aleks
pls help me with dis bro its aleks

Answers

Answer: 8

Work: if you were to write it out like the picture, you would get 8

THIS ONE IS URGENT I DON'T UNDERSTAND PLEASE HELP ME I WILL GIVE YOU BRAINLIEST/5 stars/Thanks/20 points please help me I would appreciate it!!! There are 2 questions please can you answer them!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

THIS ONE IS URGENT I DON'T UNDERSTAND PLEASE HELP ME I WILL GIVE YOU BRAINLIEST/5 stars/Thanks/20 points

Answers

Answer:

Part A = 2

Part B = I'm unsure, sorry.

Step-by-step explanation:

Answer:

Part A= 2

Step-by-step explanation:

What is the answer to this?helppp

What is the answer to this?helppp

Answers

Answer: 6

Step-by-step explanation:

divde 5 by 2 them multiply your exponet

Answer:8/125

Step-by-step explanation:

Can someone please help me with this I just need to know the height of the triangle.

Can someone please help me with this I just need to know the height of the triangle.

Answers

Answer:

height = 4/9 ft

Step-by-step explanation:

Area of a triangle is

0.5 x base x height = area

Note: 10 2/3 = 32/3

85 1/3 = 256/3

0.5 x 32/3 x height = 256/3

multiply by 6 to remove all fractions

3 x 64 x 6height = 512

192 x 6 height = 512

6 height = 8/3

height = 4/9

Need help with math word problems

Need help with math word problems

Answers

Answer:

a. 80%

b.-20%

c.24%

d.-5%

e. $210

Step-by-step explanation:

Step-by-step explanation:

a) $153 - $85 = $68

68 ÷ 85 = 0.8 × 100 = 80

80% increased.

80% of $85 is $68

b) $340 - $272 = $68

68 ÷ 340 = 0.2 × 100 = 20

20% decreased

20% of $340 is $68

c)78,616 - 63,400 = 15,216

15,216 ÷ 63,400 = 0.24 × 100 = 24

24% increased

24% of 63,400 is 15,216

d)2580 - 2451 = 129

129 ÷ 2580 = 0.05 × 100 = 5

5% decreased

5% of 2580 is 129

e) 75% of $120

75 ÷ 100 = 0.75 × 120 = 90

120 + 90 = 210

she sell it for $210

I hope its help u☆

NEED HELP WITH THIS QUESTION (IT'S FOR A QUIZ)
I AM GETTING SO CONFUSED.
It won't accept squared units.

NEED HELP WITH THIS QUESTION (IT'S FOR A QUIZ)I AM GETTING SO CONFUSED.It won't accept squared units.

Answers

Answer:

8 units If the area of the squares are 32 units^2, we have that: Area = Side * Side Side^2 = 32 Side = sqrt(32) = 5.657 units So as the squares are adjacent to two sides of the triangle, we have that the triangle has two sides of 5.657 units As it is a right triangle, we can use the Pythagoras' theorem: c^2 = a^2 + b^2 c^2 = 5.657^2 + 5.657^2 c^2 = 64 c = 8 units

Step-by-step explanation:

I just need points that’s all I’m here for

This data set shows the daily number of visitors who used the yoga center at the park. The numbers in blue show the numbers for weekends. Daily Number of Visitors 13 15 12 18 9 18 20 15 22 26 24 12 29 12 18 8 16 17 21 19 38 24 37 27 32 34 28 31 15 Select the correct answer. For how many days were the numbers of visitors recorded? A. 27 B. 28 C. 29 D. 30 E. 31

Answers

The answer would be
C. 29
We know this by counting the amount of numbers given for the data set
I don’t know to be real

Find the mean of absolute deviation for the set of values

108, 53, 47, 22, 56, 62

Find the mean of absolute deviation for the set of values
12.2, 6.8, 3.4, 8.8

I hate 7th grade math man sksksksj

Answers

(1) The mean absolute deviation for the given data set is 18.

The mean absolute deviation (MAD) is a way of measuring of data variability that is defined as the average of each data point's absolute deviation from the mean. To calculate the MAD, first compute the mean of the data set, then subtract each data point from the mean and calculate the absolute value of the result.

Here is the step-by-step process for finding the MAD for the given data set:

Find the mean of the data set: (108 + 53 + 47 + 22 + 56 + 62) / 6 = 56

Subtract the mean from each data point:

108 - 56 = 52

53 - 56 = -3

47 - 56 = -9

22 - 56 = -34

56 - 56 = 0

62 - 56 = 6

Take the absolute value of each result:

|52| = 52

|-3| = 3

|-9| = 9

|-34| = 34

|0| = 0

|6| = 6

Find the average of the absolute deviations: (52 + 3 + 9 + 34 + 0 + 6) / 6 = 18

So, the mean absolute deviation for the given data set is 18.

(2) The mean absolute deviation for the given data set is 2.7

Find the mean of the data set: ( 12.2 + 6.8 + 3.4 + 8.8 ) /4 = 7.8

Subtract the mean from each data point:

12.2 - 7.8 = 5.4

6.8 - 7.8 = - 1

3.4 - 7.8 =  - 4.4

8.8 - 7.8 = 1

Take the absolute value of each result:

|4.4| = 5.4

|-1| = 1

|-4.4| = 4.4

|1| = 1

Find the average of the absolute deviations: (5.4+ 1 + 4.4 + 1) / 4 = 2.95

So, the mean absolute deviation for the given data set is 2.95.

Learn more about " absolute deviation "at -

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Without using a calculator, convert the fraction to a decimal.
2/4=?

Answers

Divide 2 into 4,

So .50

To convert the fraction 2/4 to a decimal, we can perform the division 2 divided by 4 using long division or mental math.

2 ÷ 4 = 0.5

Therefore, 2/4 as a decimal is 0.5.

What is the length of the side labeled x ?
Answers:
A. 1
B. 5
C. 18
D. 25

What is the length of the side labeled x ?Answers:A. 1B. 5C. 18D. 25

Answers

Hello!

rectangle triangle => Pythagore

13² = 12² + x²

169 = 144 + x²

x² = 169 - 144

x² = 25

√x² = √25

x = 5

The answer is B, according to me

how do you find the rate of change in a table or graph that represents a linear equation?

- Find the change of x
- Multiply the change of y by the change of x
- Find the change of y
- Divide the change of y by the change of x
- Subtract the change of y from the change of x
- Add the change of y to the change of x

Answers

Answer:

Find the rate of change represented in each table or graph.

Step-by-step explanation:

What is the surface area of this triangular prism?

Please help!!!! I'll give brainliest if your answer is correct and thorough

What is the surface area of this triangular prism?Please help!!!! I'll give brainliest if your answer

Answers

720in^2 I know it is correct because I got the answer right 720inces squared

Answer:720in^2

Step-by-step explanation:

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