The altitude to the hypotenuse of a right triangle divides the hypotenuse into two segments measuring 11 cm and 5 cm. To the nearest tenth, what is the length of the shorter leg of the triangle?

Answers

Answer 1

Answer:

8.4 cm

Step-by-step explanation:

Given that:

A right angled triangle, let [tex]\triangle ABD[/tex]. Right angled at [tex]\angle A[/tex].

Altitude AC to the hypotenuse BD.

Length of side BC = 5 cm

Length of side CD = 11 cm

We have to find the value of shorter leg of triangle. i.e. side AB = ?

Using the concept of similarity, we can say the following:

[tex]\dfrac{AB}{BC} = \dfrac{BD}{AB}\\\Rightarrow AB^2=BC.BD\\\Rightarrow AB^2=5\times (5+11)\\\Rightarrow AB^2=5\times 16\\\Rightarrow AB^2=80\\\Rightarrow AB=\sqrt{80}\\\Rightarrow \bold{AB\approx 8.4\ cm}[/tex]

The length of shorter leg of the triangle = 8.4 cm

The Altitude To The Hypotenuse Of A Right Triangle Divides The Hypotenuse Into Two Segments Measuring

Related Questions

i need help with this​

Answers

Answer:

ok what here are u meant to do

rise over run 2/6 is the answer

How much times longer is Jupiter’s orbit than earth’s orbit?

Answers

Answer:

Jupiter's orbit is 5 times longer than earths

Step-by-step explanation:

What is the sum of 6 and y

Answers

Answer:

6+y

Step-by-step explanation:

6+y is the ans as the question has asked to sum of them but it has not given any other clues

Answer:

i got 6y

Step-by-step explanation:

QUICK I REALLY NEED HELP

When playing a game, Noahs last 5 points in the last 3 turns. show how to use integers to determine the change in his score​

Answers

Answer:

-5

Step-by-step explanation: Yeah i think its -5

Dan made $5.38 for a half hour of work. At Dan's current rate of pay, how much would Dan make for 8 hours of work?

WILL RECIEVE ANYTHING YOU WOULD LIKE

Answers

Answer:

107.6

Step-by-step explanation:

5.38 is how much is made in half an hour so I multiplied that by 2 to get the complete hour then multiplied that by 8

Answer: I am pretty sure it’s 87.08

Step-by-step explanation:

penny reads 10 pages in 1/2
hour. What is the unit rate for pages per​ hour? For hours per​ page?

Answers

Answer:

she would read 20 pages in 1 whole hour

If you have seen the user GOGETA10 please let me know. He is important to me

Answers

Answer:

sure

Step-by-step explanation:

2. Function C takes time for its input and gives a student's Monday class for its output.
a. Use function notation to represent: A student has English at 10:00.
b. Write a statement to describe the meaning of C(11:15) = chemistry.

Answers

Answer:

We know that C(T) is a function where you input the time T, and the output will be the student's Monday class.

a) A student has English at 10:00.

Here we can use T = 10:00 as the input, and the output will be the class, English.

Then this can represent this with:

C(10:00) = English.

b) Write a statement to describe the meaning of C(11:15) = chemistry.

for C(11:15) = Chemistry

The input, the time, is 11:15

The output, the class, is chemistry.

The student has a chemistry class at 11:15

Find the value of y.

Answers

Answer:

y = -1

Step-by-step explanation:

It´s an equilateral triangle

then:

2y + 6 = 4

2y = 4 - 6

2y = -2

y = -2/2

y = -1

Check:

2*-1  + 6 = 4

-2 + 6 = 4

its the picture bbhjbhvuvhvguvuggyctct love you

Answers

Answer:

o

Step-by-step explanation:

Answer:

59.3sq ft

Step-by-step explanation:

Noah bought x apples, and Elena bought 1/4 more
apples. Write an expression for the number of apples
Elena bought.

Answers

Answer:

y = 0.75x

Step-by-step explanation:

Im not sure lmk

Which statement correctly describes the location of the incenter of a triangle?
Question 15 options:

A)

The incenter is equidistant from all three vertices of the triangle.

B)

The incenter is equidistant from all three sides of the triangle.

C)

The incenter is closest to the shortest side of the triangle.

D)

The incenter is closest to the longest side of the triangle.

Answers

9514 1404 393

Answer:

  B)  The incenter is equidistant from all three sides of the triangle.

Step-by-step explanation:

The incenter is the center of the inscribed circle, which is tangent to all three sides. Hence, the distance from the incenter to each side is the radius of the circle. The incenter is equidistant from the sides of the triangle.

What is the slope and y-intercept of y=2x+3 and why?

Answers

The slope is 2 and the y intercept is 3 m = 3 and b = 2x

(this is english but more people are on math i think) what are two ways to introduce textual evidence??

Answers

[tex]I\;would\;say\;one\;way\;do\;it\;is\;like\;this...\\\\"He's\;not\;very\;brave\;after\;all"\;\;(Page\;12)\\\\Another\;way\;to\;do\;it\;is\;like\;this...\\\\According\;to\;the\;authour\;the\;man\;couldn't\;face\;his\;fear\;of\;heights. \;\;(Pg\;13)[/tex]

Can somebody help with Grade7math ? It’s like about dividing integers...

Answers

Answer:

I would but I suck at math.

Step-by-step explanation:

I'll help you out with the giver later. lol

PLEASE ANSWER NUMBER 2 3 AND 4 THANK YOU

Answers

i can’t really see it. take another pic please

Find the value of x. *


Please help me.

Answers

Answer:

x=50

Step-by-step explanation

The two angles add up to 180, so 2x+4+76 = 180

2x+80=180

2x=100

x=50

Which of these graphs represents a function?

Answers

Answer:

Graph x

Step-by-step explanation:

X because of the line test

What is the value of the expression - 13 x (-1.6)?​

Answers

Answer:

20.8

Step-by-step explanation:

Alexa has $60 already saved and her sister Susan has $120 already saved. Alexa is saving $7 per week and her sister is saving $5 per week. How long will it be before Alexa and her sister have the same amount of money? Write an equation and solve.
Step 1: Define your variable

Step 2: Write an equation.

Step 3: Solve your equation.

Step 4: Check your solution.

Step 5: Write a summary statement explaining your solution in the context of the problem..
Plz help mee

Answers

Step 1:

The variable is the number of weeks needed to equalize Alexa and her sisters savings.

Step 2:

7x + 60 = 5x + 120

Step 3:

7x+60=5x+120

Subtract 60 from both sides.

7x+(60-60)=5x+(120-60)

7x=5x+60

Subtract 5x from both sides

7x-5x=5x+60-5x

2x=60

Divide both sides by 2.

2x/2 = 60/2

x=30

Step 4:

7(30) + 60 = 5(30)+ 120

210+60=150+120

270 = 270

Step 5:

To find the unknown amount of weeks, you need to rewrite the equation isolate x on the left-hand side of the equation. I just subtracting/simplified the equation until I could solve it.

(tbh got stuck on this one)

Complete the work to solve for y:

What is the value for y?

Answers

Answer:

The value of y = 11/2

Step-by-step explanation:

As the work is completed up to the point

[tex]\frac{11}{5}=\frac{2}{5}y[/tex]

Now completing the remaining work

[tex]\frac{11}{5}=\frac{2}{5}y[/tex]

Dividing both sides by 2/5

[tex]\frac{11}{5}\div \frac{2}{5}=\frac{2}{5}y\div \frac{2}{5}[/tex]

[tex]\frac{2}{5}\cdot \frac{5y}{2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]            ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}[/tex]

[tex]\frac{2y\cdot \:5}{5\cdot \:2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]              ∵ [tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]\frac{y\cdot \:5}{5}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]                ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]

[tex]y=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]                   ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]

[tex]y=\frac{11\cdot \:5}{5\cdot \:2}[/tex]                 ∵  [tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]            

[tex]y=\frac{11}{2}[/tex]                    ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]

Therefore, the value of y = 11/2

X varies directly as the cube root of y .x=6when y=8.Find the value of x when y=64.

Answers

Answer:

The value of x is 12.

Step-by-step explanation:

Given that x is directly proportional to y so the expression will be x = k (³y) where k is the constant. First, you have to find the value of k :

[tex]x = k \: (\sqrt[3]{y} )[/tex]

[tex]let \: x = 6,y = 8[/tex]

[tex]6 = k \: (\sqrt[3]{8} )[/tex]

[tex]6 = k(2)[/tex]

[tex]k = 3[/tex]

Next, you have to find the value of x, by substituting y = 64 into the expression :

[tex]x = 3 \: ( \sqrt[3]{y} )[/tex]

[tex]x = 3( \sqrt[3]{64} )[/tex]

[tex]x = 3(4)[/tex]

[tex]x = 12[/tex]

Add, subtract, multiply, or divide. Can someone help me please.​

Answers

Number 7 is subtract

7:  8+(-4)=-2

8:  -7+2=-5

9:  -11-7=-18

10:  12÷(-6)=-2

11:   -9×(-3)=27

12:  4-(-3)=7

13:  -45÷9=-5

14:   6×(-3)=-18

Which of the following shows 2/25 is written as a percent?
2%
8%
12%
25%

Answers

8% is the correct answer!

Answer:

8%

Step-by-step explanation:

2/25*100

=8%

What is the solution to the system of equations graphed below?


On a coordinate plane, 2 lines intersect at (2, - 3).


(2, - 3)


(- 3, 2)


(- 2, 3)


(3, 2)

Answers

Answer:

(2,-3)

Step-by-step explanation:

When they intersect it called a solution

Hope its right

If p is inversely proportional to the square of q, and p is 19 when q is 8, determine p when q is equal to 2

Answers

Answer:

p = 304

Step-by-step explanation:

Given p is inversely proportional to q² then the equation relating them is

p = [tex]\frac{k}{q^2}[/tex] ← k is the constant of proportion

To find k use the condition p = 19 when q is 8, then

19 = [tex]\frac{k}{8^2}[/tex] = [tex]\frac{k}{64}[/tex] ( multiply both sides by 64 )

k = 1216

p = [tex]\frac{1216}{q^2}[/tex] ← equation of proportion

When q = 2, then

p = [tex]\frac{1216}{2^2}[/tex] = [tex]\frac{1216}{4}[/tex] = 304

The value of p is equal to 304 when q is equal to 2

Given :

If p is inversely proportional to the square of q

when y is inversely proportional to x then [tex]y=\frac{k}{x}[/tex]

given that p is inversely proportional to the square of q. the equation becomes

[tex]p=\frac{k}{q^2}[/tex]

when p is 19 the value of q is 8

Replace the values and find out k

[tex]p=\frac{k}{q^2}\\19=\frac{k}{8^2}\\19=\frac{k}{64}\\[/tex]

Multiply both sides by 64

k=1216

Now we find out p when q is 2

Replace k value and q value to find out p

[tex]p=\frac{k}{q^2} \\\\p=\frac{1216}{2^2} \\p=304[/tex]

The value of p is equal to 304 when q is equal to 2

Learn more :  brainly.com/question/16069814

Given that ( x – 3 ) is a factor of the polynomial x3 + 2x2 – 11x - 12, complete the following:

a) Completely factor the polynomial using polynomial long division or synthetic polynomial division. You must show all your work to receive credit. (7 pts)

b) What are the zeros of the polynomial? Show any work necessary in solving.

Answers

Answer:

(x+3)⋅(x−1)⋅(x−4)

Step-by-step explanation:

hope this helps

helppppppppppppppppppppppppppp meeeeeeeeee plzzzzzzzzzzzzzzzz

Answers

Answer:

thr answer is 6(2n-3) this is rhe answer

Find the midpoint of the segment with the following endpoints.
(7, -2) (1, -10)

Answers

Answer:

(4, -6)

Step-by-step explanation:

The formula of a midpoint of the segment AB:

[tex]M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have A(7, -2) and B(1, -10). Substitute:

[tex]M_{AB}\left(\dfrac{7+1}{2};\ \dfrac{-2+(-10)}{2}\right)\\\\M_{AB}\left(\dfrac{8}{2};\ \dfrac{-12}{2}\right)\\\\M_{AB}(4;\ -6)[/tex]

Midpoint = average of x and y
(7+1)/2 x value = 4
(-2+ -10)/2 y value = -6
Midpoint (4, -6)

guys i need help. who is right in this problem???

Answers

Answer:

brianna is correct

Step-by-step explanation:

Answer:

Brianna is correct for Card number 2.

Step-by-step explanation:

Other Questions
Max's town voted on a new speed limit. Of the votes received, 576 were in favor of the new speed limit and 64 were opposed. What percentage of the votes were in favor of the new speed limit? Need help please help. What are the answers for this and please explain thank you. When I catecholamine or peptide hormone binds to receptors on the surface of a cell PLEAS HELP FAST!!!!!!!!!!!!!! Which of the following is chemical property?Question is in the picture help ASAP please What type of a solution is 60g NaNO3 at 40C in100g H202 When modern humans (Homo sapiens) migrated from Africa, they did not reach allthe other continents at the same time. Put the continents in the order in whichhuman migration occurred.Ti Europe1 North America Africafi South AmericaTL Asia and Australia Whats another species whose individuals could be easily identified using software like Wildbook or LemurFaceID? please hurry asap Need help with statistics question please.25. Filling Bottles A certain brand of apple juice is supposed to have 64 ounces of juice. Because the punishment for under filling bottles is severe, the target mean amount of juice is 64.05 ounces. However, the filling machine is not precise, and the exact amount of juice varies from bottle to bottle. The quality-control manager wishes to verify that the mean amount of juice in each bottle is 64.05 ounces so that she can be sure that the machine is not over- or under filling. She randomly samples 22 bottles of juice and measures the content and obtains the following data: 64.05 64.05 64.03 63.97 63.95 64.02 64.01 63.99 64.00 64.01 64.06 63.94 63.98 64.05 63.95 64.01 64.08 64.01 63.9 63.97 64.10 63.98 (a) Because the sample size is small, she must verify that the amount of juice is normally distributed and the sample does not contain any outliers. The normal probability plot and box plot are shown. Are the conditions for testing the hypothesis satisfied? (b) Should the assembly line be shut down so that the machine can be re calibrated? Assume =0.06 ounces and use a 0.01 level of significance. (c) Explain why a level of significance = 0.01 of might be more reasonable than 0.1 [Hint: Consider the consequences of incorrectly rejecting the null hypothesis.] . . . [A] great portion of that time which ought to have been devoted calmly and impartially to consider what alterations in our federal government would be most likely to procure and preserve the happiness of the Union was employed in a violent struggle on the one side to obtain all power and dominion in their own hands, and on the other to prevent it; and that the aggrandizement of particular states, and particular individuals, appears to have been much more the subject sought after than the welfare of our country . . . .When I took my seat in the Convention, I found them attempting to bring forward a system which, I was sure, never had entered into the contemplation of those I had the honor to represent, and which, upon the fullest consideration, I considered not only injurious to the interest and rights of this state but also incompatible with the political happiness and freedom of the states in general. From that time until my business compelled me to leave the Convention, I gave it every possible opposition, in every stage of its progression. I opposed the system there with the same explicit frankness with which I have here given you a history of our proceedings, an account of my own conduct, which in a particular manner I consider you as having a right to know. While there, I endeavored to act as became a free man and the delegate of a free state. Should my conduct obtain the approbation [act of approval] of those who appointed me, I will not deny it would afford me satisfaction; but to me that approbation was at most no more than a secondary considerationmy first was to deserve it. Left to myself to act according to the best of my discretion, my conduct should have been the same had I been even sure your censure would have been my only reward, since I hold it sacredly my duty to dash the cup of poison, if possible, from the hand of a state or an individual, however anxious the one or the other might be to swallow it . . . .THE QUESTION: Why, according to Luther Martin, did he walk out of the Constitutional Convention? Find the equation of the line that passes through points a and b. Please help, will award brainliest. A random sample of 1028 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1028 adults surveyed, 521 indicated that televisions are a luxury they could do without. answer correct and you get brainlyest 5- 3/14= ?only fractions no decimals how does the uneaven heating of earths surface affects earths weather patterns *Find 6 5/8% of $1,480.90. Round to the nearest cent. The head of the executive branch is ____. aThe President bThe Supreme Court cThe Senate dThe House of Representatives Write a function rule for the area of a rectangle whose length is 5in. more than its width. what is the area of the rectangle when its width is 8in.? On a number line ,4.1 would be located. choose all answers that make a true statement.A. To the right of 4.5 B. between 5 and 6C. to the left of 4.19D. To the left of 4.4Help me plz what made Napolen bonaparte's coup successful??? How does the suns energy contribute to the movement of water in the water cycle?