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:
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
Related Questions
Find the distance between the points (–1∕2,–8) and (–1∕2,–2). Question 13 options: A) 8 B) 10 C) 1∕2 D) 6
Answers
Answer:
D) 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1/2, -8)
Point (-1/2, -2)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(-1/2+1/2)^2+(-2+8)^2}[/tex]Add: [tex]d = \sqrt{(0)^2+(6)^2}[/tex]Exponents: [tex]d = \sqrt{0+36}[/tex]Add: [tex]d = \sqrt{36}[/tex]Evaluate: [tex]d = 6[/tex]50 points and Brainliest answer question above
Answers
Answer:
12
Step-by-step explanation:
the answer is 12
Answer: 12sq. units
Step-by-step explanation: Because if you take it and say it has 2 for the side and down below it has 6 you times that and you get 12.
Can you mark me brainlest???!!! Please!!!!!
CAN U GUYS HELP ME WITH THIS?!!! I WILL GIVE BRAINLY AND 15 POINTS!!??? THANKSKSKS!
Answers
Answer:
3n - 7 = 2n + 5
Step-by-step explanation:
n=12
that is the answer
please help:) please help:)
Answers
Hope it helpss
Answer:
Your answer is A) =
Step-by-step explanation:
100 - 2(20)
100 - 40 = 60
3(20) = 60
In isosceles triangle ABC, AB=AC.If B=55, calculate A
Answers
Answer: ∠A = 70°
because ABC is an isosceles triangle and AB = AC
=> ∠B = ∠C = 55°
=> ∠A = 180-(∠B + ∠C) = 180° - 55°.2 = 70°
Step-by-step explanation:
sorry i can't help :(
Find the modulus of the complex number 6-2i
Answers
Answer:
The modulus of the complex number 6-2i is:
[tex]|z|\:=2\sqrt{10}[/tex]
Step-by-step explanation:
Given the number
[tex]6-2i[/tex]
We know that
[tex]z = x + iy[/tex]
where x and y are real and [tex]\sqrt{-1}=i[/tex]
The modulus or absolute value of z is:
[tex]|z|\:=\sqrt{x^2+y^2}[/tex]
Therefore, the modulus of [tex]6-2i[/tex] will be:
[tex]z=6-2i[/tex]
[tex]z=6+(-2)i[/tex]
[tex]|z|\:=\sqrt{x^2+y^2}[/tex]
[tex]|z|\:=\sqrt{6^2+\left(-2\right)^2}[/tex]
[tex]=\sqrt{6^2+2^2}[/tex]
[tex]=\sqrt{36+4}[/tex]
[tex]=\sqrt{40}[/tex]
[tex]=\sqrt{2^2}\sqrt{2\cdot \:5}[/tex]
[tex]=2\sqrt{2\cdot \:5}[/tex]
[tex]=2\sqrt{10}[/tex]
Therefore, the modulus of the complex number 6-2i is:
[tex]|z|\:=2\sqrt{10}[/tex]
Mary is writing invitations for her birthday party. She plans to invite 16 friends. So far, Mary has written 12 invitations. Which of the following show the amount of invitations Mary has written? Select two that apply.
25/100
25%
75/100
75%
WILL RECIEVE A LOT IF YOU HELP ME
Answers
Answer:
The answer is 75% and 75/100
Answer the question in the picture. Thanks!
Answers
Answer:
4+3x=9
Step-by-step explanation:
All of the other choices equal to 4x+12=9 except 4+3x.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x2 + 247x + 141
Answers
Answer: 15,99s
when the rocket hit the ground => y = 0
=> -16x² + 247x + 141 = 0 (*)
a = - 16 b = 247 c = 141
Δ = b² - 4ac = 247² + 16.4.141 = 70033 > 0 => (*) has 2 solutions
=> x = [tex]\frac{247-\sqrt{70033} }{32}=-0,55(removed)[/tex]
or x = [tex]\frac{247+\sqrt{70033} }{32}=15,99(s)[/tex]
Step-by-step explanation:
Solve the system of equations -2x – 4y = –26 and -3x – 3y = -12 by
combining the equations.
2x – 4y -26)
3x – 3y =-12)
- 2x
3x
- 4y
-Зу
= -26
12
try
0
+
0
y
Answers
Step-by-step explanation:
First u group them for example
-2x-3x-4y-3y
5+7=12
Williamston Daily is a new daily newspaper. When they first started printing three years ago they had 5900 home
delivery subscribers. The number of subscribers increases by 66 every month. Write an equation that expresses the
number of subscribers B in terms of n, the number of months the paper has been printed.
B = 5900n + 66
c. B = 66n + 5900
b. B = 198n + 5900
d. B = 66n + 3
Answers
Answer:
c
Step-by-step explanation:
Answer:c
Step-by-step explanation:
Solve
4x - 9 = 6 - x
Answers
Answer:
x = 3
Step-by-step explanation:
The solution to the equation 4x - 9 = 6 - x is x = 1.2 in the decimal form.
Given Equation:
4x - 9 = 6 - x
Add both side x of the equation
4x - 9 +x = 6 - x + x
5x = 6
Now, divide both side by 6 gives
5x/ 5 = 6/5
x = 1.2
Thus, the value of x is 1.2.
Learn more about Equation here:
https://brainly.com/question/29538993
#SPJ6
which fraction is larger 1/4 or 2/5 find the common denominator
Answers
Answer:
2/5 and 20
Step-by-step explanation:
1/4 = 5/20
2/5 = 8/20
LCD = 20
A circular Park of radius 30m has a track of width 2.5m on its innet side.find the area of the track.
Answers
This is a pretty mathematical question, so I will answer it in pieces as I get the time to work it out. To find the time it takes to fall, you start with Newton's second law, ma=m[d2r/dt2]=-GMm/r2=dv/dt and integrate it once to get v=dr/dt=√[2GM(R-r)/(Rr)] where, for your question, R is the distance from the center of the earth to the point from which it was dropped, r is where it is at the time t(r), G is the universal gravitation constant, and M is the mass of the earth. (The mass m of the ship does not matter.) (You can more easily get v(r) from energy conservation.) Next integrate v(r)=dr/dt to get t(r)=-2.69x105{0.5tan-1((2x-1)/(2√[x(1-x)]-√[x(1-x)]-π/4} where x=r/R; this is not a simple integral to perform, but you can find good integrators on the web, for example Wolfram Alpha. Once you have gotten the indefinite integral you are not finished, you need to find the integration constant which will put the ship at rest at x=r/R=1; that is where the π/4 comes from. Putting in your numbers, I find t=4.22x105 s=117 hr=4.89 days. The figure shows the graph of t(x).
Step-by-step explanation:
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Please help me I don’t understand $!!!!!
Answers
9514 1404 393
Answer:
a) f: all real numbers except 1 and 2; g: all real numbers except 2
b) f(x) = 5/(x -2) . . . . x = 2 is a vertical asymptote
c) f(x) = -5/4, -5/3, -5/2, undefined, undefined, 5, 5/2
g(x) = -5/4, -5/3, -5/2, -5, undefined, 5, 5/2
d) f(x) is also undefined at x=1
Step-by-step explanation:
a) Any question about the domain of a function concerns the values of the variable for which the function is defined, or not. A rational function, such as these, will be undefined when its denominator is zero. So the question of domain becomes a question of the values of x that make the denominator zero.
The zeros of the denominator of f(x) can be found by factoring it.
x^2 -3x +2 = (x -1)(x -2)
These factors are zero when x=1 and when x=2. Hence, these values are excluded from the domain of f(x).
domain of f(x): all real numbers except x=1 and x=2
Then, by inspection, the domain of g is similar, but a little different:
domain of g(x): all real numbers except x=2
__
b) Based on our work for part (a), we find that f(x) can be factored and simplified like this.
[tex]f(x)=\dfrac{5x-5}{x^2-3x+2}=\dfrac{5(x-1)}{(x-1)(x-2)}\\\\\boxed{f(x)=\dfrac{5}{x-2}\quad x\ne1}[/tex]
There will be a vertical asymptote at x=2. The attachment shows a graph of f(x) with its vertical asymptote.*
__
c) The difference between the two functions is that f(x) is undefined at x=1.
x = -2, -1, 0, 1, 2, 3, 4
f(x) = -5/4, -5/3, -5/2, undef, undef, 5, 5/2
g(x) = -5/4, -5/3, -5/2, -5, undef, 5, 5/2
__
d) The functions differ in that f(x) is undefined at x=1, whereas g(x) is not.
_____
* The fact that f(x) is undefined at x=1, but there is no vertical asymptote at that point, means the function has a "hole" in its graph there. This is illustrated on the graph by an open circle, meaning the function is not defined at that point.
Resolver esta ecuación
Answers
Answer:
Step-by-step explanation:
f(x)/g(x) = (x+6)/[(x+6)(x-6)]
Cancel (x+6)
Answer is 1/(x-6)
what is the proportional realashionship
Answers
Answer: "Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"."
Step-by-step explanation: I got this from a website. Hope it works!!!
sammi used his past health history and information by his doctor visits to create this table to compare health cost with and without insurance what is the expected value of each option
Answers
Answer:
W/O insurance: 235.50
with insurance: 1597.94
Step-by-step explanation:
Weighted Average:
annual premium 1 $1,580.00 $0
single doctor visit 0.3 $7.50 $105
two doctor visits 0.18 $9.00 $126
medication 0.06 $1.44 $5
$1,597.94 $235.50
The length of a rectangle is three times the width. The perimeter of the rectangle is 72 cm. Find the dimensions of the rectangle.
Answers
Answer: length=27, width 9
Step-by-step explanation: To solve this problem, you should set up an equation. The length is 3x, and the width is x. To find the perimeter of a triangle, you do length times two + width times two. So 6x+2x=72. 8x=72, x=9. Length is 27, width is 9.
Answer:
Length: 27cm
Width: 9cm
Step-by-step explanation:
Since the length of the rectangle is 3 times the width, we can assume the width=x and the length=3x.
P=72cm
Perimeter= 3x+3x+x+x
Set the 2 equations equal to each other
72=3x+3x+x+x
Solve for x
72=8x
9=x
Length=3x
Length=9(3)
Length=27
Width=x
Width=9
Find the inequality represented by the graph
Answers
Answer:
y < 1/4x + 3
Step-by-step explanation:
the line is dotted so we know the symbol will not include the "equal to" part
we can also see that the shading in below the y intercept, so we know that the symbol will also be less than
this means the symbol is <
now, create an equation for the line:
we know that the y intercept is 3, and that there is a rise of 1 and a walk of 4
so the slope is 1/4
now put this together and you get 1/4x + 3
this part will go on the right side of the < symbol in your inequality
so now you can create an inequality: y < 1/4x + 3
Answer:
y < [tex]\frac{1}{4}[/tex] x + 3
Step-by-step explanation:
m = [tex]\frac{1}{4}[/tex] and coordinates of y-intercept are (0, 3)
y < [tex]\frac{1}{4}[/tex] x + 3
The line y−6=2(x+4) passes through which point?
A. (−4,−6)
B. (4,−6)
C. (−4,6)
D. (2,6)
show how u got it please lol
Answers
Answer:
4. (−4, 6), slope −2. eSolutions Manual - Powered by Cognero. Page 1. 4-2 Writing ... 4. (−4, 6), slope −2. SOLUTION: Find the y-intercept. Write the equation in ... Write an equation in slope-intercept form to find the total cost C for p people. b. ... b. Plot points and draw a line through them. c. Solve for G when t = 17.
Please answer as soon as possible! Thanks
Transformation Questions)
Answers
Answer:
A = 1,1 ; 2,3 ; 5,3 ; 4,1 B = 1,-1 ; 2,-3 ; 5,-3 ; 4,-1how to graph y=-4x+2
Answers
(0,2), (1,-2), (-1,6)
And graph the points than draw a line to connect them
on a baseball diamond, Tom, Jerry,and Mark are each standing at different corners. The distance be tween tom and Jerry is 30 feet. If we assume that the angle at Jerry is a right angle,what is the distance from tom to mark
Answers
9514 1404 393
Answer:
30√2 feet ≈ 42.4 feet
Step-by-step explanation:
If the right angle is at Jerry, then Jerry is at a base location between Tom and Mark. That is, Tom and Mark are at opposite corners of the diamond. The distance from Tom to Jerry is the length of one side of the square. Its diagonal is √2 times the side length, so ...
the distance from Tom to Mark is 30√2 feet ≈ 42.4 feet
magdalena creates the drawing shown of a rectangular field . (length : 7.2 cm and height : 3 cm)
she increases all the sides by a scale factor of 4 1/2. what is the area of the new figure?
Answers
Answer:56
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
Help me
Line ℓ is perpendicular to line m. Find the value of x and w.
Answers
w° = 180° - 138°
w = 42
19° + x° + w° = 90°
sub. in w=42,
19° + x° + 42° = 90°
x° = 90° - 19° - 42°
x° = 29°
x = 29
An ice cream shop is testing some new flavors of ice cream. They invent 25 new flavors for customers to try, and throw out the 13 least popular flavors. The shop makes 80 cartons of each of the remaining flavors. It takes 2 cartons to get one liter(L) of ice cream How much total ice cream is in the cartons?
Answers
Answer:
960 cartons
Step-by-step explanation:
Ice cream shop invented 25 new flavors of the ice cream out of which 13 flavors were discarded by the ice cream shop as they were least popular.
So flavors left = 25 - 13 = 12
The shop made 80 cartons each of 12 flavors so total number of cartons = 12×80 = 960 cartons
Therefore answer will be 960 cartons of remaining flavors
plz mark brainly
Stores open at the craziest hours on Black Friday Some
even open for their big sale on Thanksgiving Read the
conversation below to figure out when coch store opens
and fill in the table with opening times below.
"It boks like we are going to have to start our shopping of ter
our Thanksgiving meal. Our guests are leaving at four pm, right
when Old Navy opens, and Toys R Us opens one hour later
"Okay, but we need to be at Best Buy to get the great deal on
that TV an hour later."
"But what about the cheap tool set at Target? They open at the
some tmeos Best Buy! We can't be in two ploces at once."
"Well, I saw that Lowe's has the same set for even cheaper, and
they open hours AFTER Target does. We will be able to get
some sleep bettre we head there!"
"Okay, two hours of ter Lowe's opens, we will head to Som's
Club and check out their great deals on cameras
"Sounds good. But an hour ofter Sam's opens, we need to be at
Gander Mountain Sports to buy that new jacket I wanti"
DAY OPEN
TIME OPEN
Thanksgiving 4:00 pm
OLD NAVY
GANDER MOUNTAIN SPORTS
TARGET
LOWE'S
5:00 am
TAVE DHE
Answers
Answer:
Happy Thanksgiving, my friends.
Step-by-step explanation:
Find the number of groups and the number left over. 24 - 5 = with left over 24-5= with left over (Type whole numbers.)
Answers
Answer: 19 is my answer 19 is left over
Travis was attempting to make muffins to take to a neighbor that had just moved in down the street. The recipe that he was using required 3/4 cup of sugar and 1/8 cup of butter.
1. Travis accidentally put a whole cup of butter in the mix.
A. What is the ratio of sugar to butter in the original recipe? What amount of sugar does Travis need to put into the mix to have the same ratio of sugar to butter that the original recipe calls for?
B. If Travis wants to keep the ratios the same as they are in the original recipe, how will the amounts of all the other ingredients for this new mixture compare to the amounts for a single batch of muffins?
C. The original recipe called for 3/8 cup of blueberries. What is the ratio of blueberries to butter in the recipe? How many cups of blueberries are needed in the new enlarged mixture?
Answers
Answer:
A. (3/4) : (1/8)
Travis must add 6 cups of sugar to maintain the ratio.
B. Travis must multiply the ratio of all other ingredients by 8.
C. (3/8) : (1/8)
Travis must add 3 cups of blueberries to maintain the ratio.
Step-by-step explanation:
A.
3/4 * 8
24/4
6 cups of sugar to maintain the same ratio.
B. 1/8 turned into 1 so that means it was multiplied by 8
C. 3/8 are blueberries and 1/8 is butter
(3/8) * 8
3
This took a long time to do... reward?