Given right triangle ABC with altitude BD is drawn to hypotenuse AC. If AB=5 and AD=1, what is the length of AC ? (Note: the figure is not drawn to scale.)
Answers
Answer:
x = 24.99 or 25
Step-by-step explanation:
Using sin to figure out the angle of ABD, we can figure out the angle of CBD by subtracting it from 90°.
sin y = (1/5)
y = 11.54°
90 - 11.54 = 78.46°
Now using Pythagorean Theorem (a²+b²=c²) we can solve for line BD.
1² + b² = 5²
1 + b² = 25
b² = 24
b = √24
Now we can use tan to figure out the length of segment DC.
tan(78.46) = z/√24
z = 23.99
We can now combine the known length of segment AD and the length of DC to get x.
1 + 23.99 = 24.99 or about 25.
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
if you expand...you could get x+9, which is the same as the given expression
Question 1 of 3
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Kay walks upstairs to make her legs stronger. Every day at work, she walks up 9 flights of stairs. If there are 13 steps in 1 flight of
stairs, how many steps does Kay climb in 5 days at work?
Solve the problem
steps
Submit
Reset
Answers
Answer:
13 x 9 x 5
Step-by-step explanation:
because there is 13 steps in one flight and there fore we need to multiply 13 x 9
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Answer:
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Answer:
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Step-by-step explanation:
Youd do 8x8 because the base of the triangles are 8 and a square has equal sides all around
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Answer:
x=49
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Step-by-step explanation:
Answer:
x=49
y=63
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Your Answer will be -6
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Answer:
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Step-by-step explanation:
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Answer:
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Comment:
Im glad to help! :D
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Answer:
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Step-by-step explanation:
Answer:
hope this helps
Step-by-step explanation:
Find the circumference of a circle with radius r =6m give your answer rounded to 2dp
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Answer:
The answer is
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Answers
Answer:
Let 'x' represent the money Alan needs to work to earn $120 (enough money for skateboard).
7.50x = 120
.......
........
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Step-by-step explanation:
Answer:
He will have to work for 16 hours
I am a bit confused, this is solving systems of equations by elimination.
Answers
Answer:
y = -4
x = -2
Step-by-step explanation:
1. Approach
To solve a system by the process of elimination, one wants to manipulate an equation such that when one adds the equations in a system, one of the variables cancels out. The easiest way to do this is to select a variable, then find the LCM (least common multiple) of the two coefficients of the selected variables. Then multiply each of the equations by the respect factor that is needed to get the coefficient of the variable to the LCM. In the event that the cofficients do not have inverse signs, multiply one of the equations by (-1). No all that is left is to add the equations, use inverse operations to solve for the other variable, then back substitute to find the value of the selected varibale.
2.Set up the process
3x - 2y = 2
5x - 5y = 10
Selected variable; x
LCM of the coefficents (3, 5) = 15
Multiply the first equation by 5, and the second by 3
(3x - 2y = 2) *5
(5x - 5y = 10)*3
Resulting system
15x - 10y = 10
15x - 15y = 30
Now, multiply the first equation by (-1) to make the coefficents additive inverses
(15x - 10y = 10) (-1)
15x - 15y = 30
-15x + 10y = -10
15x - 15y = 30
3. Solving
Add the two resulting systems,
-15x + 10y = -10
15x - 15y = 30
_____________
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Inverse operations
-5y = 20
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Inverse operations,
3x + 8 = 2
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Answers
Answer:
The answer to your question is 367
Step-by-step explanation:
I hope this helps answer your question
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Answer:367
Step-by-step explanation:
because I know what it is!
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Step-by-step explanation:
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Answer:
250.35
Step-by-step explanation: pythagorean theorem
215^(2)+x^(2)=330^(2)
46225+x^(2)=108900
x^(2)=62675
x=5√2507
x=250.35
Answer:
250.35 yards
Step-by-step explanation:
Use the pythagorean theorem to find the height.
[tex]\sqrt{a^{2}+b^{2} }=c[/tex]
Algebraically change the equation to equal to b.
[tex]\sqrt{c^{2}-a^{2} }=b[/tex]
[tex]\sqrt{330^{2}-215^{2} }=b[/tex]
b=250.35 yards
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Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The transformations are ...
(x, y) ⇒ (-y, x) . . . . 90° rotation
(x, y) ⇒ (-x, -y) . . . . 180° rotation
(x, y) ⇒ (y, -x) . . . . 270° rotation
Each successive rotation is a 90° rotation from the previous one. This makes writing the formulas in a spreadsheet really easy. The attached shows the transformed coordinates.
Can someone pls help me with this?
Answers
Answer:
c
Step-by-step explanation:
Answer:
B
Step-by-step explanation: