Answer:
14.9
Step-by-step explanation:
The solution is 14.86
The length of the third side of the right angle triangle is 14.86
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be ΔABC
Now , the triangle ABC is a right angle triangle
And the value of the base of the triangle BC = 10
The value of the height of the triangle AB = 11
Now , the hypotenuse of the triangle AC is calculated from Pythagoras Theorem
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the values in the equation , we get
AC² = AB² + BC²
AC² = 11² + 10²
AC² = 121 + 100
AC² = 221
Taking square roots on both sides of the equation , we get
AC = 14.86
Therefore , the value of AC is 14.86
Hence , The length of the hypotenuse of the right angle triangle is 14.86
To learn more about triangles click :
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Dan's car depreciates at a rate of 13% per year.
By what percentage has Dan's car depreciated after 4 years?
Give your answer to the nearest percent
Answer:
52%
Step-by-step explanation:
13×4= 52%
You just multiply by 4 to get the percentage
I need help with my math assignment
Answer:
B. 89
Step-by-step explanation:
LOE + EOV = LOV,
becomes
[tex]7x+12+4x+9=142\\11x+21=142\\11x=121\\x = 11[/tex]
LOE = 7x + 12, so:
[tex]7 * 11 + 12\\77 + 12\\89[/tex]
Davita can jog 2,000 feet in 4 mins. If she jogs at the same rate, how many feet can she jog in 8 mins?
2,000 ft.
3,000 ft.
4,000 ft.
I need help please. Thank you! :)
Answer:
12 for the first one and twelve for the second one
Step-by-step explanation:
i think you can divide for the first one and second one if you divide 240÷20 you will get twelve and if you divide 180÷15 you will get 12
What is the value of the expression (5)3?
Answer:
Its asking you to multiply 5 and 3 together
5 x 3 = 15
Answer:
Step-by-step explanation:
Parentheses mean multiplication
5x3 = 15
What dose that sing mean before the square root mean and also what is the answer
The thing before the square root means that the answer can be positive and negative.
y = 8x - 6
2x - 4y = 24
9514 1404 393
Answer:
(x, y) = (0, -6)
Step-by-step explanation:
Substitute for y in the second equation:
2x -4(8x -6) = 24
2x -32x +24 = 24
-30x = 0
x = 0
y = 8·0 -6 = -6
The solution is (x, y) = (0, -6).
Some one please help me on this I am very much dum
Pls help I’ll brainlest ASAP
Answer:
first box -1
second box 2
Step-by-step explanation:
Hope I helped!!
If the perimeter of this trlangle is 15 centimeters, what is the value of n? 5n - 6 2n + 1 Express your answer as a decimal number. n =
Answer:
n =1.78
Step-by-step explanation:
2(5n-6)
2(n+1)
10n-12+4n+2=15
14n-10=15
subtract both sides by 10
14n=25
25/14
n=n =1.78571428571
Arthur has 9 feet of rope in his garage, which is not enough for his next project. So, he went to the hardware store and bought 5 yards of rope. How many feet of rope does Arthur now have all together?
Answer:
9 x 5 = 45
Step-by-step explanation:
Can you please help me with this equation
Answer:
0.915
Step-by-step explanation:
Hopefully this helps
Answer:
It's 50 ^^
Step-by-step explanation:
What is the definition of Spike protein?
Please helppp
Answer: a glycoprotein that protrudes from the envelope of some viruses (such as a coronavirus) and facilitates entry of the virion into a host cell by binding to a receptor on the surface of a host cell followed by fusion of the viral and host cell membranes
18.5−1.73 what is this??
Find the value of x. 5+x=7
please help me work this out! set up and solve a quadratic equation to work out the value of x
Answer:
x = 8
Step-by-step explanation:
✔️Area of the square = s²
Where,
s = (2x - 4)
Area = (2x - 4)² = (2x - 4)(2x - 4) = 2x(2x - 4) -4(2x - 4)
= 4x² - 8x - 8x + 16
Area of square = 4x² - 16x + 16
Area of rectangle = L × W = (3x - 6) × x
= 3x² - 6x
✔️Since both have the same area, therefore,
4x² - 16x + 16 = 3x² - 6x
Collect like terms
4x² - 3x² - 16x + 6x + 16 = 0
x² - 10x + 16 = 0
Factorize
x² - 2x - 8x + 16 = 0
x(x - 2) -8(x - 2) = 0
(x - 2)(x - 8) = 0
(x - 2) = 0 or (x - 8) = 0
x = 2 or x = 8
If we plug in x = 2 into any of the given side length, we would have 0. (i.e. 2x - 4 = 2*2 - 4 = 0)
So the value of x cannot be 2 because the length of any of the shape cannot be 0.
So therefore, the value of x = 8
Solve for b.
(b-7)m=r
(b-7)m=r
Use the distributive property to multiply b-7 by m.
bm-7m=r
Add 7m to both sides.
bm=r+7m
The equation is in standard form.
mb=7m+r
Divide both sides by m.
mb/m = 7m+r/m
Dividing by m undoes the multiplication by m.
b= 7m+r/m
Divide r+7m by m.
b= r/m+7
Lucy is building a fence for her pigpen that that the pigs cannot escape. The area of the rectangular pigpen is 96 sq ft. The length of the pigpen measures 12 ft. What is the width,in feet?
The sales tax on a $150 DVD player is $6. What is the sales tax rate?
Terry goes to the store to buy a shirt. The original price is $32. The shirt is
marked down 20%. When he gets to the check-out stand, he learns that
everything in the store is another 10% off of the marked down price. Which
dollar amount below is closest to the amount Terry paid for the shirt?
Answer:
The closest amount paid is $23
Step-by-step explanation:
Given
[tex]Price = \$32[/tex]
[tex]Mark\ down = 20\%[/tex]
Amount = 10% of Marked down price
Required
Determine the amount paid
First, we calculate the marked down price P2:
[tex]P_2 = Price(1 - Mark\ down)[/tex]
Substitute values for Price and Mark down
[tex]P_2 = \$32 * (1 - 20\%)[/tex]
Express percentage as decimal
[tex]P_2 = \$32 * (1 - 0.20)[/tex]
[tex]P_2 = \$32 * (0.80)[/tex]
Remove bracket
[tex]P_2 = \$32 * 0.80[/tex]
[tex]P_2 = \$25.6[/tex]
The payable amount is 10% off the marked down price,
This is calculated as:
[tex]Amount = P_2 - P_2 * 10\%[/tex]
Substitute $25.6 for P2
[tex]Amount = \$25.6 - \$25.6* 10\%[/tex]
Express percentage as decimal
[tex]Amount = \$25.6 - \$25.6* 0.10[/tex]
[tex]Amount = \$25.6 - \$2.56[/tex]
[tex]Amount = \$23.04[/tex]
The closest amount paid is $23
18 flowers in 6 vases = flowers per vase
Answer:
3
Step-by-step explanation:
one ride on a city bus costs $1.50. Martina has $18 on her bus pass. Write and solve an equation to find how many rides she can take without loading more money on her bus pass.
The length l of a 200-square-foot rectangular vegetable garden is 4 feet less than twice the width w. Find the length and width of the garden.
Answer:
L=18.1, W=11.0
Step-by-step explanation:
Which of the following is NOT an inverse operation?
1.) Square Root and Squaring
2.) Addition and Multiplication
3.) Subtraction and Addition
4.) Multiplication and Division
slope
y intercept
x intercept
Answer:
8.8= slope=1/3
y intercept=4/3
X intercept= -4
8.9 slope=1
Y intercept= 2
X intercept= -2
Step-by-step explanation:
compare the equation with the standard equation Y= MX + C
where M is the slope
to find Y intercept substitute the value of x as 0
to find X intercept substitute the value of Y as 0
PLEASE HELP NEED IT ASAP!!! FOR A UNIT TEST!!!
Write the slope-intercept equation for the line that is perpendicular to:
y = -2x + 3 and passes through (-4, 5)
Answer:
Y=1/2x+7
Step-by-step explanation:
A professor of cognitive psychology is interested in the percent accuracy on this memory encoding task among college students. She measures the percent accuracy for 64 randomly selected students. The professor knows that the distribution of scores is normal, but she does not know that the true average percent accuracy on this memory encoding task among college students is 0.794 percent correct with a standard deviation of 0.1110 percent correct.
The expected value of the mean of the 64 randomly selected students, M, is ______ mean and/or standard deviation just given to calculate the expected value of M.) . (Hint: Use the population
The standard error of M is_______ (Hint: Use the population mean and/or standard deviation just given to calculate the standard error.)
Answer:
Mean of M = 0.794
Standard Error = 0.013875
Step-by-step explanation:
Given that :
Sample size, n = 64
Mean percentage accuracy, μ = 0.794
Standard deviation, σ = 0.1110
Since the distribution of scores is normal ;
Sample mean, m ~ μ
Hence, m ~ 0.794
The sample sta dard deviation of standard error ~ σ/sqrt(n)
Standard Error = 0.1110 / sqrt(64)
Standard Error = 0.1110 / 8
Standard Error = 0.013875
Given f(x) = x^2 + x + 1 and given g(x) = x^2 - 9, find (f+g)(x).
========================================
Work Shown:
(f + g)(x) = f(x) + g(x)
(f + g)(x) = x^2+x+1 + g(x) ............... plug in f(x) = x^2+x+1
(f + g)(x) = x^2+x+1 + x^2-9 ........... plug in g(x) = x^2-9
(f + g)(x) = (x^2+x^2)+x+(1-9)
(f + g)(x) = 2x^2+x-8
I don’t understand this so can I get help
Answer:
Your image is cut off, can you provide a better one so I can try to answer it?
Step-by-step explanation:
20x=-58-2y
17x=-49-2y
Answer:
20x = -58 - 2y( Ans~ x= -29/11)
17x = -49 - 2y (Ans~ x = -49/19)
Step-by-step explanation:
(1) 20x = -58 2x
20x + 2x = -58
22x = -58
x = -29/11
(2) 17x = -49 - 2x
17x + 2x = -49
19x = -49
x = -49/19
U WELCOME!!
Answer:
y=1
x=-3
Step-by-step explanation:
20x=-58-2y
20x/20=(-58-2y)/20
x=(-58-2y)/20
17x=-49-2y
17x/17=(-49-2y)/17
x=(-49-2y)/17
(-58-2y)/20=(-49-2y)/17
17(-58-2y)=20(-49-2y)
-986-34y=-980-40y
add 40y to both sides
6y-986=-980
add 986 to both sides
6y=6
divide both sides by 6
y=1
substitute
20x=-58-2(1)
20x=-60
x=-3
Proof: (substituting x & y values in original equations)
20(-3)=-58-2(1)
-60=-60
17(-3)=-49-2(1)
-51=-51