The base of an isosceles triangle is 16 cm long. The equal sides are each 22 cm long. Find the height of the triangle.

Answers

Answer 1

Given:

The base of an isosceles triangle is 16 cm long.

The equal sides are each 22 cm long.

To find:

The height of the triangle.

Solution:

We know that the altitude of an isosceles triangle divides the base into two equal parts as shown in the below figure.

According to the Pythagoras theorem:

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

Using Pythagoras theorem, we get

[tex]22^2=h^2+8^2[/tex]

[tex]484=h^2+64[/tex]

[tex]484-64=h^2[/tex]

[tex]420=h^2[/tex]

Taking square root on both sides, we get

[tex]\sqrt{420}=h[/tex]                  (Because side cannot be negative)

[tex]2\sqrt{105}=h[/tex]

Therefore, the height of the isosceles triangle is [tex]2\sqrt{105}[/tex] cm. Approximate height is 20.49 cm.

The Base Of An Isosceles Triangle Is 16 Cm Long. The Equal Sides Are Each 22 Cm Long. Find The Height

Related Questions

Alfonso scored 1818 points during his last basketball game, which was 40\%40% of the points the entire team scored. The entire team scored points.

Answers

Answer: 45 points

Step-by-step explanation:

Let the point of the entire team be represented by x.

Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire team scored. This can then be represented in an equation as:

40% of x = 18

40% × x = 18

40/100 × x = 18

0.4 × x = 18

0.4x = 18

x = 18/0.4

x = 45

The team's total point is 45

If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a one?

Answers

One time(Theoretical Probability)A die has six sides, so the chances of you rolling a one are 1/6. If you roll the die six times, it will probably land on a one, one time.

Answer:

yes

Step-by-step explanation:

What is 7 + 3/4x = x

Answers

Answer

28

Can I have the brainliest please?

Please answer everything in the screenshot below I will mark brainliest.

Answers

Answer:

The weeks is the independent variable and the height is the dependent variable.

Step-by-step explanation:

This is because the number of weeks you take to care for it depends on the height it will become. Hope this makes sense!

Josephine bought 8 gallons of milk.
How many liters does that equal?

Answers

8 US gallons = 30.28329 Liters

Answer:

Either 30 or 32, depending on if your teacher wants you to use exact decimals, or rounded numbers

Step-by-step explanation:

Usually people round liters to equal 4 per gallon, which would give you 32.

However, a liter is technically 3.785 liters per gallon- and this exact number would give you 30 as an awnser.

I'd say 32 is the safer awnser, unless your teacher has given you the number 3.785 decimal amount to use instead.

Graph f(x) = 3 |x– 5|+ 1.

Answers

Answer:

This is how your function looks on a graph table. Hope this helps.

A student number system for a county requires that the student number be 5
characters. The first character is a consonant, the second through the fourth characters can be any digit but no digit can repeat and the last character must be a
letter. How many unique student numbers are possible?

546,000 student numbers
393,120 student numbers
302,400 student numbers
468,000 student numbers

Answers

Answer:

B

Step-by-step explanation:

First Character: 21 consonant

2nd 3rd and 4th: 10* 9* 8 = 720

Last Character: 26

Total Ways 21 * 720 * 26 = 393120

choices;
a) 21.8°
b) 35.2°
c) 45.1°

Answers

Answer:

[tex] \displaystyle a) \: {x}^{ \circ} = 21.8 ^{ \circ} [/tex]

Step-by-step explanation:

we are given opposite and adjacent

we want to figure out x°

remember that,

[tex] \displaystyle \: \tan( \theta) = \frac{opp}{adj} [/tex]

where our opp is 5 and adj is 12.5

let [tex]\theta[/tex] be x°

so

[tex] \displaystyle \: \tan( {x}^{ \circ} ) = \frac{5}{12.5} [/tex]

[tex] \displaystyle \: {x}^{ \circ} = \arctan \left( \frac{5}{12.5} \right)[/tex]

by using calculator

[tex] \displaystyle \: {x}^{ \circ} = 21.8[/tex]

hence,

our answer is a

1) Matthew can run 1/5 of a mile in 1/3 of an hour. What is the unit rate?

Answers

Answer:

3/5 mile/h

Step-by-step explanation:

velocity = distance / time

then 1/5 / 1/3 = 1/5 * 3/1 = 3/5

Part A: To the nearest tenth of an inch, what was the circumference of the circular pie before the slice was
cut out?
Part B: To the nearest inch, what was the area of the circular pie before the slice was cut out?
Part C: To the nearest tenth of an inch, what is the area of the slice of pie that was cut out?
Part D: To the nearest inch, what is the length of the curst for the slice of pie that was cut out?
Next Question
Question 1 of 2

Answers

Answer:

Part A

The circumference of the circular pie before the slice was cut out is approximately 69.1 inches

Part B; The area of the circular pie before the slice was cut out is approximately 380 in.²

Part C

The area of the slice of pie that was cut out in approximately 40 in.²

Part D;

The length of the crust for the slice of pie is approximately 7 inches

Step-by-step explanation:

Part A

The shape of the pie = Circular shape

The radius of the pie, r = 11 inches

The circumference of a circle = 2·π·r

Therefore, we have;

The circumference of the circular pie before the slice was cut out, 'C', is given as follows;

Where;

r = 2 inches

C = 2 × π × 11 inches  = 22·π inches ≈ 69.115 inches

The initial circumference of the circular, C ≈ 69.115 inches

To the nearest tenth of an inch, we have;

The initial circumference of the circular, C ≈ 69.1 inches

Part B; The area of a circle, A = π·r²

Therefore;

For the circular pie before the slice was cut out, A = π·(11 in.)² ≈ 380.133 in.²

To the nearest square inch, we have;

The area of the circular pie before the slice was cut out, A ≈ 380 in.²

Part C

The area of the slice of the pie that was cut out, A is given by the area of a sector of a circle as follows;

[tex]The \ area \ of \ a \ sector, A = \dfrac{\theta}{360 ^{\circ}} \times \pi \cdot r^2[/tex]

The angle of the sector formed by the slice of pie that was cut out, θ = 38°

Therefore, the area of the slice of pie that was cut out, 'A', to the nearest tenth of a square inch  is given as follows;

A = 38/360 × π × (11 in.²) = 40 in.²

The area of the slice of pie that was cut out, A = 40 in.²

Part D;

The length of the crust of the slice of pie that was cut out is given by the arc length of the sector of the circular pie the slice of pie represent as follows;

[tex]Arc \ length = \dfrac{\theta}{360 ^{\circ}} \times 2\cdot \pi \cdot r[/tex]

Therefore for the slice of pie, to the nearest inch, we have;

[tex]Arc \ length = \dfrac{38 ^{\circ}}{360 ^{\circ}} \times 2\times \pi \times 11 \, in. \approx 7 \, in.[/tex]

The length of the crust for the slice of pie ≈ 7 in.

solve by subsution 10x=4 2x+y=-24

Answers

Answer:

big shaq

Step-by-step explanation:

HELP ASAP PLEASEESE <3

Answers

Answer:

?? Where IS THE PICTUREEE

Step-by-step explanation:

YGYGGYGYUGJHVVJFYTTDUYF

Answers

Ohnooohnoooohno ohnoooo

HELP ITS MY LAST QUESTION!!!

Answers

The answer will be x+23

Answer:

D. x + 23

Step-by-step explanation:

Start by distributing the 3 to the numbers in the parenthesis

3(x + 6) - 2x + 5

3x + 18 - 2x + 5

now just add like terms

3x + 18 - 2x + 5

x + 23

Jace recorded the grade-level and instrument of everyone in the middle school School of Rock below. Seventh Grade Students Eighth Grade Students Instrument # of Students Instrument # of Students 11 Guitar 13 14 Guitar Bass Drums Keyboard Bass Drums Keyboard 13 8 14 3 Based on these results, express the probability that a seventh grader chosen at random will play an instrument other than bass as a percent to the nearest whole number.



please answer , I have no idea how to do this ​

Answers

Using the table, it is found that there is a 77% probability that a seventh grader chosen at random will play an instrument other than bass.

-----------------------------

A probability is the number of desired outcomes divided by the number of total outcomes.The table is given at the end of this question.

From the table:

There are 12 + 10 + 9 + 12 = 43 7th grade students.Of those, 33 play an instrument other than the bass.

Then:

[tex]p = \frac{33}{43} = 0.77[/tex]

0.77 = 77% probability that a seventh grader chosen at random will play an instrument other than bass.

A similar problem is given at https://brainly.com/question/22203443

Find the slope of the line passing through the points (-4, 2) and (3, 2)

Answers

Answer:

0

Step-by-step explanation:

The slope of a line is also known as the change in the line. it is often referred to as ([tex]\frac{rise}{run}[/tex]) and can be found using the formula, ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex]). Substitute in the given points and solve for the slope,

[tex]\frac{(2)-(2)}{(3)-(-4)}[/tex]

Simplify,

[tex]\frac{0}{3+4}\\\\\frac{0}{7}[/tex]

The slope of the line is (0).

hii please help i’ll give brainliest

Answers

Answer: Point K

Step-by-step explanation:

The first number is the x line and the second number is the y line <3  pls mark brainliest

What should we find in order to determine how many square feet of plywood are needed to make a rectangular prism

Answers

Answer:

surface area

Step-by-step explanation:

A rectangular prism is an optical element which is transparent with flat sides that can pass or reflect light. A rectangular prism is a cube where all its sides are the same.

In the context, in order to find the total square feet of plywood needed to make a prism we have to determine its surface area.

The total surface area of a rectangular prism can be found out by the formula :

A = 2 (hl + lw + wh)

where, h = height of the rectangular prism

            l = length of the rectangular prism

            w = width of the rectangular prism

In circle G with m_FGH = 60 and FG = 19 units, find the length of arc FH.
Round to the nearest hundredth.
FH

Answers

Answer:

m j ubhyb8yvtucvyrrd86rfutiy

Step-by-step explanation:

Eli has 8 black pens and 5 blue pens in his desk drawer. he also has 3 yellow highlighters, 4 green highlighters, and 5 pink highlighters in his pencil case. If he chooses one pen and one highlighter without looking, what is the probability that he will get a blue pen and he will not get a yellow highlighter. Brainliest for most helpful answer.
I will ban you if you use bit. ly

Answers

The answer is 15/52

Review questions
6. What is slope and y intercept of the line shown in the graph? Write the equation for the line. (3 pts)
Slope,
y-intercept:
Equation:

Answers

Answer:

slope: -3/4    y-intercept: 3   equation: y=(-3/4)x+3

Help me, please ❤️❤️

Answers

Answer:

thx for the points

Step-by-step explanation:

u

katie wants to buy a watermelon from the store if the watermelon costs $1.20 per kilogram and the watermelon weighs 6 kilograms how much money will katie spend on the watermelon?

Answers

Answer:

p=0.60w

Step-by-step explanation:

Let

p ----> the price of a watermelon in dollars

w ---> the weight of a watermelon in pounds

In this problem we have a proportional relationship

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or  

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem

p=kw

The value of the constant of proportionality k is the same that the unit rate

Find out the unit rate

Divide the total cost by the total weight

k=4.38/7.3=0.60per lb

substitute in the equation

p=0.60w

Step-by-step explanation:

brainliest?

Please help me and show your work

Answers

Answer:

Step-by-step explanation:

y = 3x + 4

Plugin x = 3 in the equation,

y = 3*3 + 4

 = 9 + 4

y = 13

Plugin x = 4 in equation,

y = 3*4 + 4

  = 12 + 4

y = 16

Plugin x = 5 in the equation,

y = 3*5 + 4

  = 15 + 4

y = 19

2) y =x - 7

Plugin x = 10 in the equation

y = 10 - 7

y = 3

Plugin x = 15 in the equation

y = 15 - 7

y = 8

Plugin x = 20 in the equation

y = 20 - 7

y = 13

Can someone please help!! I’m stuck on this question

Answers

Answer:

-12

Step-by-step explanation:

Farenheit is on the x-axis (horizontal) so you go to 10, then find the celsius which is on the y-axis (vertical) and the line is around -12. Hope this helps!

Helppp look at photo will mark brainliest

Answers

Answer:

C) 12.5

 The length of BC = 12.5cm

Step-by-step explanation:

Step(i):-

Given that  ΔABC

Given that  AB =  15cm and ∠A =  40°

we will use trigonometric function

                     [tex]tan x = \frac{oppositeside}{adjacentside}[/tex]

                   [tex]tan 40^{0} = \frac{BC}{AB} = \frac{BC}{15}[/tex]

Step(ii):-

we know that tan40° = 0.83909

                 [tex]tan 40^{0} = \frac{BC}{15}[/tex]

                BC =  15 × tan 40°

                BC = 12.58649

                BC = 12.5cm

Final answer:-

 The length of BC = 12.5cm

QUICK, IF YOU ANSWER THIS I WILL MARK YOU AS BRANIEST.

WHAT IS 2+2=?​

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Ill mark brainliest if right! Which could NOT be side lengths of a parallelogram?
A. 2 yd, 2 yd, 2 yd, 2 yd
B. 3 cm, 2 cm, 2 cm, 3 cm
C. 4 m, 3 m, 4 m, 4 m
D. 5 in., 5 in., 3 in., 3 in.

Answers

Answer:

C: 4m, 3m, 4m, 4m

Step-by-step explanation:

The opposite sides of a parallelogram have to be congruent. Since one side is 3m, the quadrilateral is not a parallelogram.

A veterinarlan treated 7 dogs this morning. The list below gives the weights (in pounds) of each dog. 24,3,29, 24,8, 38,62 Find the range of the data set.​

Answers

The range is 59 because you subtract the big number and the lowest number so 62-3=59

Name each polynomial based on its degree and number of terms.

-2xy^2

Answers

Answer:

Degree: 3

Number of terms: 1

Step-by-step explanation:

The exponent on x is 1. The exponent on y is 2.

1 + 2 = 3

Degree: 3

Number of terms: 1

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Select the sentence that quotes the passage correctly according to MLA guidelines. A. E.F Harkins writes, "Mr. Clemens was born on November 30, 1835, in Florida, Missouri" (43). B. E.F Harkins states, " . . . Mr. Clemens was a typical American" (43). C. E.F Harkin reports, "Mr. Clemens's mother was a remarkable woman" (43). D. E.F. Harkin says, " Mr. Clemens's humor will live forever" (43). Nazi racial ideology was based around belief in the superiority of theAAryan people.BCaucasian people.CSemitic people.DSlavic people. How did the did the 13 amendment impact the lives of Americans both white and black HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 44 cards, which was 10% of the cards sold for Mother's Day. How many cards were sold for Mother's Day? 30 POINTS IF ANSWERED QUICKLY!!! The contractor in charge of the roofing project is trying to make the job the most cost effective for the homeowners. In order to cut back on the cost of supplies, he decides that a ceiling in the garage is not necessary. In other words, there will not be a barrier built between the garage and the roof. In two or more complete sentences, explain how these changes affect the model for the area of the roof's entire surface. Translate each verbal phrase into an algebraic expression:1. The sum of N and 6 is less than 2.2. The value X n is greater than 12.3. The value of P is at most 15.4. R multiplied by 11 is greater than or equal to 33.5. 5 subtracted from N is at most 18. a condition that affects the lungs is called...A. cardiac, asthmaB. respiratory, diabetesC. respiratory, asthmaD. cardiac, heart disease Identify the pair in whic 1 the formula does not match the namesulfite, SO32nitrite, NO3-hydroxide, OBdichromate, C 20-2 Should be eazy! giving brainliest if right!! eBookVideoA population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 100 is selected and is used to estimate H. Use z-table.a. What is the probability that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimalplaces.) write five rational numbers less than -3 12Joe wants to rent a bike. The rental fee is dollars, after t hours, and is modeled by x= 5t +5.Part AIf the rental fee for the bike Joe borrowed was $20, how many hours did he keep the bike?2341 Find the missing terms in the arithmetic sequence 15 , ____ , ____ , ____,17 3. Which job was a Vaishyas most likely to do? Solve for X in the attached picture. Chinas one child policy resulted in?Gender inequalityLarger familiesWorking age population declining BRAINLIEST PLEASE HELP ASAP DO NOT ANSWER UNLESS YOU KNOW AND DON'T GIVE ME A LINK OR I WILL REPORT YOU1. Explain what type of lever is a baseball bat and why the bat is that type of lever in relation to the input force, output force, and fulcrum.2. Explain for which class of lever is the output force always greater than the input force.3. Explain for which class of lever is the output force always less than the input force.4. Use the law of conservation of energy to explain why in a second class lever the distance over which the input force is applied is always greater than the distance over which the output force is applied.5. A lever has an IMA of 4. If the length of the length of the input arm is 1.0 meter, what is the length of the output arm. The Petri dish shown has no lid. What is the surface area of the outside of the Petri dish? Round to the nearest tenth. A cylindrical-shaped Petri dish with a radius of 50 millimeters and a height of 15 millimeters. Use the given graph to determine the limit, if it exists.