Answers
Answer:
y = 12 x = 12√2 z = 12√3
Step-by-step explanation:
The 45° triangle will also have a height of y so....
y² + y² = x² 2y² = x² y² = x²/2 y = √(x²/2)
The 30° triangle
y² + z² = 24² y² = 24² - z² y = √(24² - z²)
sin 30 = y/24 1/2 = y/24 y = 12
y² = x²/2
12² = x²/2²
2(144) = x² x = √(288) x = 12√2
y² + z² = 24²
z² = 24² - y²
z² = 24² - 12²
z² = 576 - 144
z² = 432
= √(16·9·3)
z = 4·3√3
z = 12√3
y² + z² = 24²
12² + (12√3)² = 24²
144 + 144·3 = 576
2y² = x²
2(12)² = x²
288 = (12√2) = 144·2 = 288
Related Questions
Sarah had a sheet of paper that was 3 inches long and 7 inches wide. What is the perimeter of the paper
Answers
Answer: 20
Step-by-step explanation:
(3+7)*2 = 20
Answer:
20 square inches
Step-by-step explanation:
express 110111 base two to base ten
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Answer:
zh
Step-by-step explanation:
Can someone help me pls
Answers
Answer:
the only explanation to this is segment MN is tangent to circle L because it touches the circle L in one point
For MN to be tangent, angle N would need to be 90 degrees making the triangle a right triangle.
Using the Pythagorean theorem uses the base and the height to see if it equals what is shown for the hypotenuse. If it does it is tangent.
Hypotenuse = SQRT(18^2 + 80^2)
Hypotenuse = sqrt(324 + 6400)
Hypotenuse = sqrt(6724)
Hypotenuse = 82
This matches the 82 shown in the picture, so it is a right triangle, making MN tangent to circle L.
Round .67832947 to the nearest thousandths (three decimal places)
Answers
A 51 foot ladder is set against the side of a house so that it reaches up 45 feet. If Nora
grabs the ladder at its base and pulls it 6 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 39 ft.) Round to the
nearest tenth of a foot.
Answers
Answer:
a=41.2
Step-by-step explanation:
a^2 + (30)^2. =51^2
a^2+900=2601
-900. -900
a^2= +\- square root 1701
a=41.243181
a=41.2
Please explain to me how to find y. I’m so confused.
Answers
So because one angle is 90 degrees you would subtract it from 180 to get 90 and then divide it by two which is 45 degrees.
Hope this helps, have a nice day! :)
Provide one reason for when you can use the distance formula.
Answers
Answer:
Draw a right triangle such that the distance between the two points is the hypotenuse. Hence, When you use the distance formula, you are calculating the length of the Hypotenuse of a right triangle.
What is the value of the expression 2[3(4^2+1)]-2^3?
Answers
Answer: 94
Step-by-step explanation: use photo math :)
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!! DUE TODAY I NEED HELP ASAP
A restaurant has a 15% mandatory tip rate.
(a) Complete the ratio table shown. Show your work.
Pre-Tax Bill ($): 10 __ 60 __
Tip ($) __ 12 __ 15
(b) Using the table, how can you find the total tip paid on $70?
Answers
Answer:
Subtotal 70.00
15% Tip 10.50
Total 80.50
Step-by-step explanation:
1% 0.70
2% 1.40
3% 2.10
4% 2.80
5% 3.50
6% 4.20
7% 4.90
8% 5.60
% Tip
9% 6.30
10% 7.00
11% 7.70
12% 8.40
13% 9.10
Give the ordered pair of the 3rd Critical point.
Y = 4cos10(x - 12°) +16
Answers
Ethan earns $10 every hour for walking Ms. Barn's two dogs, plus an additional $7
for brushing the dogs after their walk. If Ethan earned $32 on Monday, find
the equation which best represents the situation?
Answers
10h+7=32 would be the best equation. Hope this helps!
Name a pair of lines that are parallel
Answers
you didn't include the picture, so I cant see what the question is, sorry.
or if you mean any lines they just have to not intersect or combined at any point like the image I attached, that is parallel lines when they never touch.
someone pls help and show ur work
Answers
Answer:
15inx3.3
=
to my dad lol
https://youtu.be/WYNfQabLpuk
Please help me with this it’s confusing ,
Answers
Answer:
It’s the 4th one
Step-by-step explanation:
If AB = 4 centimeters, which is closest to BC?
Options
4.7 cm
3.4 cm
2.5 cm
2.1 cm
Answers
in my opinion it is 3.4 cm because in any case it is a right triangle,then you can see whith the naked eye that AB is longer
How would you describe a linear learning curve. Choose the best available answer. for each unit of time the performance improves a proportional amount for each unit of time the performance decreases a proportional amount the performer displays rapid initial improvement followed by a decline in the rate of improvement the performer displays little initial improvement followed a rapid increase in the rate of improvement none of the above
Answers
Answer:
My answer would be; the performer displays rapid initial improvement followed by a decline in the rate of improvement.
Step-by-step explanation:
Usually a learning curve means that struggles are occurring after time of understanding and if we were creating a linear graph of this learning curve, it would be decreasing.
A figure has vertices at (-3,5), (-1,8), (1,5), (1,1), (-1,-2) and (-3,1). What is the correct name
of this figure?
Answers
Answer:
regular hexagon
Step-by-step explanation:
Use substitution to find Limit of StartStartFraction cosine (StartFraction pi x Over 4 EndFraction) OverOver x + 1 EndEndFraction as x approaches 3.
ANSWER: C
Answers
Answer:
C
Step-by-step explanation:
- square root 2 / 8
[tex]\bold{ \lim_{x \to 3} \frac{cos(\frac{\pi x}{4} )}{x+1} } = \bold{-\frac{\sqrt{2} }{8} }[/tex] , the correct answer is option (C)
What is limit?"A limit is the value that a function approaches as the input approaches some value."
What is substitution in mathematics?"Substitution is the process of replacing an algebraic letter with its value. "
Given: [tex]\lim_{x \to 3} \frac{cos(\frac{\pi x}{4} )}{x+1}[/tex]
By substitution the value of limit,
[tex]\lim_{x \to 3} \frac{cos(\frac{\pi x}{4} )}{x+1}[/tex]
= [tex]\frac{cos(\frac{\pi (3)}{4} )}{(3)+1}[/tex]
= [tex]\frac{cos(\frac{3\pi}{4} )}{4}[/tex]
= [tex]\frac{-\frac{1}{\sqrt{2} } }{4}[/tex]
= [tex]-\frac{1}{4\sqrt{2} }[/tex]
= [tex]\bold{-\frac{\sqrt{2}}{8} }[/tex]
Hence, option (C) is the correct answer.
Learn more about limit here:
brainly.com/question/1619243
#SPJ2
PLZ HELP ILL MARK BRAINLIST!!!
Answers
Answer:
So, your answer would be 226.08 cubic meters of dirt.
Step-by-step explanation:
:D
Consider a system with one component that is subject to failure, and suppose that we have 120 copies of the component. Suppose further that the lifespan of each copy is an independent exponential random variable with mean 10 days, and that we replace the component with a new copy immediately when it fails.
a. Approximate the probability that the system is still working after 1300 days.
b. Suppose that the time to replace the component is a random variable that is uniformly distributed over ( 0 , 0.5 ). Approximate the probability that the system is still working after 1100 days.
Answers
can someone plz plz answer this PLZ!! BOTH QUESTIONS
Answers
Answer:
17. 2,336 ft²
18. V = 6,720 ft³
Step-by-step explanation:
17. Surface area of the tent not including the floor = area of the 2 triangular bases + area of the 2 rectangular side faces
= 2(½*bh) + 2(L*W)
Where,
b = 14 ft
h = 24 ft
L = 40 ft
W = 25 ft
Substitute
Area = 2(½*14*24) + 2(40*25)
Area = 336 + 2,000
Area = 2,336 ft²
18. Volume of circus tent = volume of triangular prism = ½*b*h*l
Where,
b = 14 ft
h = 24 ft
l = 40 ft
Substitute
V = ½*14*24*40
V = 6,720 ft³
What is the sum of just the fraction parts of 1 5/8 and 1 6/8?
Answers
Answer:
Just the fraction parts: 11/8 or 1 3/8
Step-by-step explanation:
1 5/8 + 1 6/8 = 3 3/8
Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
giving brainliest !!
Answers
Answer:
your answer will be 416 square millimeters
Step-by-step explanation:
[tex]2x(\frac{1}{2}12*8)+(12+10+10)10\\\\=96+320\\\\=416[/tex]
hope it helps..
have a great day!! :)
Heather invested $25,800 in an account that pays 4% simple interest. If she invests the money for 10 years, how much will she have?
Answers
Answer:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Solving our equation:
A = 25800(1 + (0.04 × 10)) = 36120
A = $36,120.00
The total amount accrued, principal plus interest, from simple interest on a principal of $25,800.00 at a rate of 4% per year for 10 years is $36,120.00.
Please answer the question in the picturee
Answers
Answer: 8
Step-by-step explanation:
12-4= 8
*8 is the length of the side because of this theory I forgot, but yeah!
5. Find the value of x in the figure shown. 68 * 68 a. 20 b. 22 c. 45 d. 80
Answers
Answer:
yes
Step-by-step explanation:
yes of course.
Need help!
Please explain your answer
Answers
k = (2,2)
L=(4,5)
first see the x-axis and then y-axis
julie wants to invest $3,000 into
a mutual fund that pays 7%
interest for 10 years. suppose
the interest were compounded
monthly instead of annually.
how much would the future
value of the investment
increase?
Answers
Answer:
$400
Step-by-step explanation:
The future value of the investment increase will be $6,028.98.
What is compound Interest?The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.
Given:
P = $3000
R = 7%
T = 10 years
r = R/100
r = 7/100
r = 0.07 rate per year,
Then solve the equation for A
A = P[tex](1 + r/n)^{nt[/tex]
A = 3,000.00[tex](1 + 0.07/12)^{(12)(10)[/tex]
A = 3,000.00[tex](1 + 0.0058333333333333)^{(120)[/tex]
A = $6,028.98
Hence, the future value will be $6,028.98.
Learn more about Compound Interest here:
https://brainly.com/question/14295570
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graph
[tex]y = - 2 - {e}^{ - \frac{ - x}{2} } [/tex]
what are the transformations??
Answers
Graph attached
Y intercept is at -3Help please !!! I don’t know what to do
Answers
9514 1404 393
Answer:
6. x = 3
8. x = -7.5
Step-by-step explanation:
Put the number in place of the expression it is equal to, then solve for x.
__
6) g(x) = -x +5
2 = -x +5 . . . . . . . . . g(x) is replaced by 2, because g(x) = 2
x +2 = 5 . . . . . . . . . . add x to both sides
x = 3 . . . . . . . . . . . . . subtract 2 from both sides
__
8) n(x) = -2x -21
-6 = -2x -21 . . . . . n(x) is replaced by its equal: -6
3 = x +10.5 . . . . . . divide both sides by -2
-7.5 = x . . . . . . . . . subtract 10.5 from both sides
_____
Additional comment
We have shown a couple of ways these equations can be solved. You can separate the x-term and the constant terms before you divide by the x-coefficient, or you can do it after. In the first equation, we could have solved it ...
2 -x +5
-3 = -x . . . . subtract 5
3 = x . . . . . . multiply by -1
The way we did it avoids negative numbers.