What is the length of the unknown side of the right triangle? (1 point)

A right triangle with hypotenuse x and legs 21 and 20
A)21
B)29
C)400
D)441

Answers

Answer 1

Answer:

B)29

Step-by-step explanation:

[tex] {x}^{2} = {21}^{2} + {20}^{2} [/tex]

[tex] {x}^{2} = 441 + 400[/tex]

[tex] {x}^{2} = 841[/tex]

[tex]x = \sqrt{841} [/tex]

[tex]x = 29[/tex]

Answer 2

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the two legs, that is

x² = 21² + 20 ² = 441 + 400 = 841 ( take square root of both sides )

x = [tex]\sqrt{841}[/tex] = 29 → B


Related Questions

Which of the following graphs best represents the solution to the pair of equations below?

y = −x + 6

y = 2x − 3

Answers

May you post the graph please or else I cannot answer your question for you

Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE. A horizontal line has points C, F, E, G. 2 lines extend from the line at points F and E to form an isosceles triangle with point D. Angle DEF measures 75°. What is the measure of angle CFD?

Answers

Answer:

[tex]\angle CFD =105^o[/tex]

Step-by-step explanation:

Given

[tex]\angle D FE = \angle DE F = 75^o[/tex]

See attachment

Required

Determine the measure of [tex]\angle CFD[/tex]

[tex]\angle CFD[/tex] and [tex]\angle DFE[/tex] are on a straight line.

So:

[tex]\angle CFD + \angle DFE = 180^o[/tex] --- angle on a straight line

Substitute known values

[tex]\angle CFD + 75^o = 180^o[/tex]

Collect like terms

[tex]\angle CFD =- 75^o + 180^o[/tex]

[tex]\angle CFD =105^o[/tex]

can i get some help on this question please? ASAP!!

Answers

Answer:

left is a very good approximately .9 POSITIVE correlation

right is a very good approximately -.9 NEGATIVE correlation

Step-by-step explanation:

Amanda's sewing a flag for a competition. The dimensions of her flag are shown below. Approximately, how many square yards of black material will Amanda need to make the flag?

Answers

To calculate the area of the black material on the flag, we need the shape and the dimensions of the black material itself.

Since the question is incomplete, as the dimension of the flag and the dimension of the black material are not given, I will provide a general explanation.

Assume the shape of the black material is a rectangle.

The area will be calculated as:

[tex]Area = Length * Width[/tex]

Take for instance;

[tex]Length = 4yd;\ Width = 5yd[/tex]

[tex]Area = 4yd * 5yd[/tex]

[tex]Area = 20yd^2[/tex]

Assume the shape of the black material is a square.

The area will be calculated as:

[tex]Area =Length^2[/tex]

Take for instance;

[tex]Length = 4yd[/tex]

[tex]Area = (4yd)^2[/tex]

[tex]Area = 16yd^2[/tex]

Assume the shape of the black material is a triangle

The area will be calculated as:

[tex]Area = 0.5 * Base * Height[/tex]

Take for instance;

[tex]Base = 4yd;\ Height = 5yd[/tex]

[tex]Area = 0.5 * 4yd * 5yd[/tex]

[tex]Area =10yd^2[/tex]

So, in general.

You need to first get the shape of the black segment on the flag, then calculate the area using the appropriate formula.

Read more about areas at:

https://brainly.com/question/24251781

Which expression is equivalent to (3a)–2?

Answers

Answer:

[tex] \frac{1}{9a { }^{2} } [/tex]

Step-by-step explanation:

I hope this help if it doesn't I'm sorry

I NEED HELP QUICK PLEASE! D:
Jamie is taking the tests needed to join the math group. His scores were 89, 92, 94. What's the lowest score he can get on the fourth test and still have a 90 average?

Answers

It would have to be 85

Answer:

85

Step-by-step explanation:

(89+92+94+ x)/4>90

(275+x)/4>90

275+x>90

x> 85

Mary has borrowed 48 books from the library. This is 22% of all of the books in the library. How many books are in the library?

Answers

Answer:

218

Step-by-step explanation:  

ATQ,

22%of total books = 48

Let the total no. of books in library be x.

22/100x=48

x=4800/22

X=218(approximately)

please answer and no links please ....​

Answers

Step-by-step explanation:

ℎ = -4, -3×(-4)+2 = 12+2 = 14

ℎ = -2, -3×(-2)+2 = 6+2 = 8

ℎ = 0, -3×0+2 = -3+2 = 2

ℎ = 3, -3×3+2 = -9+2 = -7

ℎ = 5, -3×5+2 = -15+2 = -13

phương trình lượng giác cơ bản

Answers

Answer:

Phương trình lượng giác cơ bản: lý thuyết, cách giải, bài tập

Phương trình sin x = sin α, sin x = a.

2. Phương trình cos x = cos α, cos x = a.

3. Phương trình tan x = tan α, tan x = a.

4. Phương trình cot x = cot α, cot x = a. ...

5. Phương trình bậc nhất đối với một hàm số lượng giác. ...

6. Một số điều cần chú ý:

please answer this question!!​

Answers

answer is a
x=3 you can put in 3 as x and solve it you would get the same answer as both equations

Part A
The poll report includes a table titled, “Americans Using Cash Now Versus Five Years Ago, by Age.” The age intervals are not equal. Why do you think the Gallup organization chose the age intervals of 23–34, 35–54, and 55+ to display these results?

Answers

Answer:

These are the intervals of the people who are at least adults and are mature enough to take the survey seriously and answer correctly

Step-by-step explanation:

Which point is on the graph of f(x) = 3 • 4X?

Answers

Answer:

D. (1, 12)

Step-by-step explanation:

Plug the number into the equation and solve it from there

f(x)=3×4^1

f(x)=3×4

f(x)=12

Need help ASAPPPPPPP

Answers

Answer:

A) 5

Step-by-step explanation:

51+48+15x+6=180

105+15x=180

15x=75

x=5

help me out .... I will mark u as brilliant students ​

Answers

oe which question are you figure it out

Which of the following is the product of the rational expressions shown
below?

Answers

Answer:

here's the answer to your question

A soccer player stands at one corner of a field and kicks a soccer ball 95 yards to the opposite corner. If the field is 76 yards long, what is the width?

Answers

= 57 yards.

Step-by-step explanation:

95 yards is the diagonal of the field

76 yards is the length

Find the width.

This set-up will for a right angled triangle with a length of 76 yards and Hypotenuse of 95 yards. Therefore the height will represent the width of our Rectangle.

[tex]{b}^{2} = {c}^{2} - {a}^{2} \\ {b}^{2} = {95}^{2} - {76}^{2} \\ {b}^{2} = 9025 - 5776 \\ \sqrt{ {b}^{2} } = \sqrt{3249} \\ b = 57yards[/tex]

The volume of a Rubik’s cube is 512/216 cubic inches. Find the length of a side of the cube.

Answers

Answer:

4/3 inches, or 1.33333 inches

Step-by-step explanation:

In terms of the volume of a cube, its side length is the cube root of it. Therefore, for a cube with a volume of 512/216 cubic inches, its side length is equal to ∛(512/216) = ∛(512)/∛(216) = 8/6 = 4/3 inches*

* we know that 8/6 = 4/3 because we can multiply both the numerator and denominator by 1/2 to get this result. If we multiply/divide the numerator or denominator by the same values, the fraction is still the same

Find the Value of y. 70 60 65 40

Answers

Answer:

125

Step-by-step explanation:

360-70-60-65-40

= 125

Answered by GAUTHMATH

Shown below is a piece of information on the sale of passenger vehicles that appeared in a newspaper. How many multi purpose vehicles were sold in the year 2006?

Answers

70,000 multi purpose vehicles were sold in the year 2006

First we need to know the equivalent of 1 lakh.

1 lakh = 100,000

From the table shown, we can see that 0.7 lakh multipurpose vehicle were sold in 2016.

Converting 0.7lakh to thousands:

0.7lakh= 0.7 × 100,000

0.7lakh = 70,000

This shows that 70,000 multi purpose vehicles were sold in the year 2006

Learn more: https://brainly.in/question/2811622

Marcia, Maureen, and Mario want to buy a $132 present for Sarah. Maureen is paying one half of Marcia's quantity, and Mario, one third of Marcia's quantity. Luckily for them the item has an 18% discount
How much is Mario paying?

Answers

Answer:

$19.68

Step-by-step explanation:

this is not really clearly defined.

I assume it means that they are buying the item, no matter how much it costs, and that the split ratio between them also remains the same no matter the actual cost.

x = what Marcia is paying

and 132 - 18% = 132 × (100 - 18) / 100 = 132×0.82 = 108.24

so,

x + x/2 + x/3 = 108.24

6x + 3x + 2x = 649.44

11x = 649.44

x = $59.04

Mario's part is x/3 = 59.04/3 = $19.68

PLS HELP WILL GIVE BRAINLY!!
A triangle has sides that measure 4 units, 6 units, and 7.21 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3.14 for π, and round your answer to the nearest whole number.

17 units2
24 units2
54 units2
94 units2

Answers

Answer:

24 units ²

Step-by-step explanation:

In this problem, we are given the circumference of a triangle (after finding the perimeter) and want to find the area of a circle with that circumference. Since the area of a circle is a function based on its radius, we can use the circumference to find the radius to find the area.

First, we can figure out the perimeter of the triangle, which is equal to the sum of its sides. The perimeter is 6+4+7.21 = 17.21 units.

Next, the circumference of a circle is equal to π * diameter = π * 2 * radius. Using 3.14 for π and r for radius, we get

3.14 * 2 * r = 17.21

6.28 * r = 17.21

divide both sides by 6.28 to isolate r

r ≈ 2.74

Furthermore, to find the area from the radius, we can use

area = πr². Plugging 2.74 in for r, we get

2.74² * 3.14 = area

≈23.6, rounding up to 24 units ²

The circumference is equal to the perimeter of the triangle. Then the area of the circle is 23.58 or 24 square units. Option B is correct.

What is a circle?

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A triangle has sides that measure 4 units, 6 units, and 7.21 units.

Then the perimeter of the triangle will be

Perimeter = 6 + 4 + 7.21

Perimeter = 17.21

The circumference is equal to the perimeter of the triangle. Then the radius will be

[tex]2\pi r = 17.21\\\\r = 2.74[/tex]

Then the area of the circle will be given as

[tex]\rm Area = \pi r^2 \\\\Area = \pi \times 2.74^2 \\\\Area = 23.58[/tex]

Thus, the area of the circle is 23.58 square units.

More about the circle link is given below.

https://brainly.com/question/11833983

The expression.1*e^0.0347t models.The balance in thousand of dollars where t represents time.In years after the account was opened. What does the 0.034 represent in this context? Write an expression for the number of years after which there will be 15,000 Dollars in the account?

Answers

Answer:

0.0347 = constant of proportionality

[tex]1 * e^{0.0347t} = 15000[/tex]

Step-by-step explanation:

Given

[tex]1*e^{0.0347t}[/tex]

Solving (a): what does 0.0347 represent?

An exponential model is represented as:

[tex]f(t) = a * e^{kt}[/tex]

Where:

[tex]k \to[/tex] constant of proportionality

So, by comparison:

[tex]k = 0.0347[/tex]

Hence:

[tex]0.0347 \to[/tex] constant of proportionality

Solving (b): Formula to calculate when balance equals 15000

To do this, we simply equate the formula to 15000.

So, we have:

[tex]1 * e^{0.0347t} = 15000[/tex]

Which expressions are equivalent to
3(6+b) + 2b+1?
Select 2 answers.
Step 1 - Use the distributive property and pick your first
answer
Step 2 - Combine like terms and pick your second
answer

Answers

Step-by-step explanation:

3(6+b)+2b+1

18+3b+2b+1

5b+19

Once we distribute 3(6+b), 18 + 3b + 2b + 1. Our first answer is B. Next, we can combine like terms. This gives us 5b + 19. The other answer is C.

Anyone Answer Please

Answers

Answer:

shift of 6 units left

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

f(x) = 3 | x + 6 | + 9

Represents a horizontal shift of the parent function 6 units left

When a weed solution is added to a lawn, the number of weeds can be represented by the function W(d)=1500(.75)^d where d is the number of days since application. By what percent does the population of weeds decrease each day

Answers

Number of weeds is represented by the function,

[tex]W(d)=1500(0.75)^d[/tex]

[tex]W(d)=1500(1-0.25)^d[/tex] -------(1)

Here, [tex]d=[/tex] Number of days since application

Function representing the exponential decay is,

[tex]A(t)=A(1-r)^t[/tex] --------(2)

[tex]A=[/tex] Initial value

[tex]r=[/tex] Percentage decay

[tex]t=[/tex] duration

By comparing both the functions (1) and (2),

[tex]r=[/tex] 0.25 ≈ [tex]\frac{25}{100}[/tex]

Or [tex]r=[/tex] 25%

Therefore, population of weeds will decrease 25% each day.

Learn more about exponential decay,

https://brainly.com/question/14355665?referrer=searchResults

Which of the following equations represents a line that is perpendicular to
y = -4x+9 and passes through the point, (4, 5)?
O A. y - 1x+6
OB. y = x +5
O C. y = *x+4
D. Y = -4x+4

Answers

Answer:

y = 1/4 x +4

Step-by-step explanation:

y = -4x+9

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

the slope is -4

Lines that are perpendicular have slopes that are negative reciprocals

The slope of the perpendicular line is -1 /(-4)  = 1/4

The perpendicular line is

y = 1/4x+b

It goes through (4,5)

5 = 1/4(4) +b

5 = 1+b

b=4

y = 1/4 x +4

Please help me find those two boxes guys

Answers

Answer:

y=113505(1+0.012)^(x)

y=120481. Answered by Gauthmath

f(x)=square root 2x and g(x)=square root 50x find (f/g)(x)

Answers

Answer:

1/5

Step-by-step explanation:

(f/g)(x) = f(x)/g(x) = sqrt(2x)/sqrt(50x) = 1/5

of (3, -2) reflected across the line x = 1 is?

Answers

Answer:  (-1, -2)

===========================================================

Explanation:

Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.

Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)

In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)

See the diagram below.

What is the area? please help

Answers

Answer:

70.875 [tex]km^{2}[/tex]

Step-by-step explanation:

Using the equation of area of trapezium

[tex]\frac{1}{2} * (a+b)h[/tex]

Put the value into the equation

[tex]\frac{1}{2}(4.8+5.7)*13.5[/tex]

Simplify the equation and you will get:

[tex]2.4*13.5=70.875 km^{2}[/tex]

So, the answer is 70.875km^2

Other Questions
Why were armies positions moved so little during WWl The average playing time of compact discs in a large collection is 35 minutes, and the standard deviation is 5 minutes. a. What value is 1 standard deviation above the mean? 1 standard deviation below the mean? What values are 2 standard deviations away from the mean? b. Without assuming anything about the distribution of times, at least what percentage of the times is between 25 and 45 minutes? c. Without assuming anything about the distribution of times, what can be said about the percentage of times that are either less than 20 minutes or greater than 50 minutes? d. Assuming that the distribution of times is approximately normal, about what percentage of times are between 25 and 45 minutes? less than 20 minutes or greater than 50 minutes? less than 20 minutes? Order the expressions Which expression can be used to find the product of 57 x 44? grammarone day i will repeat/replicate this photo Find the next three terms in the arithmetic sequence.6, 12,18, 24,... Ahyoka has 250 CDs 10 percent are country,70 percent are pop, and the rest are hip-hop how many CDs are hip-hop? Help!!! can someone who is on flvs pls help i have 6 missing assignments Please help me find all choices that apply to the question What do you think might have been the opinion of each of the following people to this TexasDeclaration of Independence? A Tejano (Texas-born Mexican) living in San Antonio but not volunteering to defend the Alamo Anglo soldiers defending the Alamo Mexican General Santa Ann Kelly is writing a research report for social studies class about the Salem witch trials. She wants to revise the introductory paragraph to include a clearthesis statement. Read Kelly's draft introductory paragraph and answer the question that follows.The Salem witch trials took place in 1692. Several women in a Massachusetts village were accused of witchcraft by some children: The adults did not brush these claims off as kids' make-believe stories, though. The cases against these women were heard in a special court. By the time the trials came to an end, well over 100 people had been accused of witchcraft. To most people today, it seems unbelievable that the trials ever took place, but that time people really did believe in, and fear, witches. Life was difficult for the people of Salem Village, and there was also a lot of tension among neighbors.Which sentence would be the best thesis statement that Kelly should add to complete her introductory paragraph?A.The key to understanding the Salem witch trials lied in understanding the time period in which they took place, including such important factors as: 1) common religious beliefs and superstitions of the era; 2) hardships in life which caused people to seek solutions and scapegoats; and 3) the rigid and highly stratified society of colonial New England in which people may have tempted to take out personal grudges against more privileged neighbors in unusual ways.B.Today, it is still not clear whether there really were witches in Salem. We simply don't have the archeological or written evidence to say if it is true or not. However, some ghost-hunters, psychics, and mystics have explored the geographic area for "psychic vibes", and they report unusual supernatural forces.C.The Salem witch trials show why it is important to question what kids say. Children can come up with all sorts of random and fanciful ideas. Some children even believe they have invisible companions!D.Several centuries later, sad events like the Salem witch trials are still taking place all around the world: For example, in some partsof the world, such as the mountain villages of Switzerland or the highlands of Scotland, pagan celebrations take place around New Year's Eve in which a straw effigy of a person is ritually burned under a full moon A jar is filled with quarters and nickels in the ratio 1 2/5 to 2 1/3. If there are 24 quarters in the jar, what is the ratio in dollar value of quarters to that of the nickels??? A social worker spends a long time talking with a patient. She learns that the patient has two children that she has not seen since birth. The social worker lectures the patient on what a terrible mother she is and how irresponsible it was to have children if she was just going to discard them. She ends the conversation telling the mother that she is a worthless loser. This is an example of _____.effective communication because she is telling the truthineffective communication because she humiliated the patienteffective communication because it is her job to discuss the patients problemsineffective communication because she is over reacting preschool children should be encouraged to try new foods. if a child is reluctant to do so, it is best to PLEASE SOMEBODY PLEASE HELP ME ANSWER THIS QUESTION RIGHT PLEASE I REALLY NEED HELP NOOOO SCAMS PLEASE Carlos can read 30 pages per hour in the 270 page book he is reading. At this rate, how long will it take him to finish his book? What is a power of the judicial branch? creating laws debating laws enforcing laws interpreting laws. The area of the shaded region is 20 cm. Find the value of x Yovani can do 8 math problems in 1 3/5 of aminute. How many problems can hecomplete per minute? What does Ponyboy Curtis want to control?