Answers
Answer:
NM = 17, LY = 5, m<NLY = 53.13 degrees, m<NMY = 28.07 degrees
Step-by-step explanation:
To solve for NM, you just use the Pythagorean theorem,
[tex]8^{2} + 15^{2} = x^{2}[/tex]
64 + 225 = [tex]x^{2}[/tex]
289 = [tex]x^{2}[/tex]
[tex]17 = x[/tex]
To solve for LY, you can use geometric mean,
[tex]\frac{10}{y} = \frac{15+y}{10}\\\\100 = 15y + y^{2} \\y^{2} +15y - 100 = 0\\(y+20)(y-5) = 0\\y= 5[/tex]
To solve for the other angles, use the inverse.
Sin-1, = 8/10
= 53.13
Other angle =
Tan-1 = 8/15
= 28.07
Hope this helps, I put a lot of time into this :)
Related Questions
A ladder 15 feet long is leaning against a house. The base of the ladder is pulled
away from the wall at a rate of 5 ft/sec. How fast is the top of the ladder moving
down the wall when its base is 1 feet from the wall? Round your answer to two
decimal places.
Answers
Answer:
it is equal to negative 5/24 feet per second, and it's negative because the ladder, the top of the ladder, is moving down the wall, so we have a negative rate.
Step-by-step explanation:
In this problem. We have a ladder that's leaning against the wall of a building. KR ladder is 13 feet long. Okay, I'm going to go ahead and label that l for ladder. You see, we form a right triangle here. I'm gonna label the horizontal acts and the vertical. Why? We are told that the bottom of the ladder is moving away from the building at a rate off 0.5 feet per second. So that's DX DT. Secret will 0.5 feet per second. What we're trying to find is how quickly the top of the ladder is moving down the wall when the base of the ladder is five feet from the wall. Okay, so the point where X is five feet, we want to know how quickly the latter is moving down the wall. So we have a Pythagorean theorem here. X squared plus y squared is equal to elsewhere. I want to go ahead and substitute in 13 for L. Because that is constant. It's not going to change so we can go ahead and put in 13. I want to take the derivative of both sides with respect to t. I'm gonna have to X dx DT plus two. Why d y d t and that's going to be equal to will. The derivative of a constant is just zero. Now I'm gonna substitute in what? We know. I have a two here. I know. Access five. I knew. Know that DX DT is 0.5. I do not know why at this point, OK, But I know I'm trying to solve for d y t t. So I'm gonna go have put that in there. So off to the side. I have to figure out what? Why is well using my migrant there? I'm here. I know access five I'm solving for why? And I know l is 13. So why squared is going to be equal to 13 squared minus five squared, which is 144. Why is equal to 12 so I can go ahead and put 12 in here going to calculate this out? This is gonna be five plus 24 d Y d t is equal to zero. 24 d Y d t is going to be equal to negative five, so it is equal to negative 5/24 feet per second, and it's negative because the ladder, the top of the ladder, is moving down the wall, so we have a negative rate.
The top of the ladder moving down the wall when its base is 1 feet from the wall is 6.86 ft per second.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that the base of the ladder is pulled away from the wall at a rate of 5 feet per second when its base is 1 feet from the wall. Then the time will be;
Speed = distance/time
2 = 7/t
t = 7/2 = 3.5 seconds
Using pythagorean theorem to get the length L of the wall;
L² = 25² - 7²
L = 24
The ladder will move down the length at the same time.
Rate = 24/3.5
Rate = 6.86 ft/s
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
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Calculate the rise and run to and the slope of each line. someone help me
Answers
Rise: -4
Run: 3
Solution:The rise is how many units we move up or down.The run is how many units we move left or right.We move down 4 units, so the rise is -4.Then, we "run" 3 units, so the run is 3.Hope it helps.
Do comment if you have any query.
what is the mean of these number 8 40 50 85 1 5 46 65 41 13 34 67 53 71 44
Answers
Answer:
41.53
Step-by-step explanation:
add all the numbers and divide by how much there is
623 /15
41.53
hope this helps!!
Please help and Please write real equation for the answer thank you
Answers
Answer:
f(x) = (3x -12)/(x² -7x +12)
Step-by-step explanation:
The equation for a rational function can be written from the clues offered by the horizontal and vertical asymptotes, the y-intercept, and any "holes" in the function graph. Here, those clues are ...
horizontal asymptote: y = 0vertical asymptote: x = 3hole: (x, y) = (4, 3)y-intercept: (0, -1)__
The horizontal asymptote at y=0 tells you the denominator is of higher degree than the numerator. The vertical asymptote at x=3 tells you (x-3) is a factor of the denominator. The hole at x=4 tells you there is a factor of (x-4) in both numerator and denominator.
At this point, the function is tentatively ...
[tex]f(x)=a\dfrac{x-4}{(x-3)(x-4)}[/tex]
Evaluating this at the y-intercept, x=0, gives ...
f(0) = -1 = a/(0 -3) = -a/3
a = 3 . . . . . multiply by -3
Then our rational function, consistent with all of the features of the graph, is ...
[tex]f(x)=\dfrac{3(x -4)}{(x -3)(x -4)}\\\\\boxed{f(x)=\dfrac{3x-12}{x^2-7x+12}}[/tex]
An equilateral triangle has a perimeter of 90 inches. Find the area of the equilateral triangle, I simplest form.
Answers
Answer:
389.7 square inches
Step-by-step explanation:
equilateral triangle = each side has the same lenght
90 inches / 3 = 30 inches each side
----------------------------------------------------------
Pythagoras
30^2 = 15^2 + x^2
900 - 225 = x^2
v 675 = x
25.98 = x
x = height
----------------------------------------------------------
Area = BxH/2
B = 30 inches
H = 25.98
(30 x 25.98) /2 = 389.7 square inches
Answer:
390 in²
Step-by-step explanation:
Length of the sides of the triangle = 90/3 = 30 in
area of a triangle = (base × height)/2
height of an equilateral triangle with sides of length x [tex]=\frac{\sqrt{3} }{2}x[/tex]
Then the height of our triangle [tex]=\frac{\sqrt{3} }{2} \times30=26[/tex]
Conclusion:
area of the triangle = (30 × 26)/2 = 390 in²
can someone please help me out with this logarithm equation
Answers
[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]
•— QUESTIONLogarithmic equation : log2 + log x = 1•— ANSWERThe answer is x = 5•— SOLUTIONlog¹⁰2+ log¹⁰ x = 1x >0log¹⁰2 + log¹⁰ x = 12x = 10[tex] \times \frac{10}{2} [/tex]x = 5•— Therefore, the answer is x = 5
[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]
x is bigger than y. The difference between x and y is 18. Find x and y.
Answers
Answer:
x can be 20
y can be 2
Step-by-step explanation:
i hope i will help you
Louis wants to carpet the rectangular basement. The basement has an area of 874 square feet. The width of the basement is 2/3 it’s length. What is the length?
Answers
Answer:
582.6
Step-by-step explanation:
2/3 x 874 = 582.6
Help picture below problem 12
Answers
Answer:
124°
Step-by-step explanation:
Not the best at explaining but should be equal to 180 straight across. You have to find the missing angle. You know the right angle is 90° so you will add 34° to get 124°. 180-124 will get you 56°. Straught across you have the angle that you are trying to find which is 124° because 180-56 is 124.
PLEASE HELP: A random sample of 200 students are chosen from a student population of 1200 students. which sample do you think is more likely to be representative of the population
Answers
Answer:
random sampling is more accurate
Question 8(Multiple Choice Worth 1 points)
(07.04 HC)
Right triangle ABC is located at A (-1, 4), B (-1, 1), and C (-5, 1) on a coordinate plane. What is the equation of a circle A with radius AC?
O(x + 1)2 + (y - 4)2 = 9
(x + 5)2 + y - 1)2 = 25
(x + 5)2 + (y - 1)2 = 16
(x + 1)2 + (y - 4)2 = 25
Answers
Answer:
(d) (x + 1)^2 + (y - 4)^2 = 25
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
__
Circle A has its center at point A, so the left side of this equation will look like ...
(x -(-1))² +(y -4)² = r² . . . . . . using (h, k) = (-1, 4)
where r is the length of segment AC. One way to find the value of r² is to use point C for (x, y):
(-5 +1)² +(1 -4)² = r²
16 +9 = r² = 25
Then the equation of the circle is ...
(x +1)² +(y -4)² = 25
. A recipe that serves 6 people calls for 4 cups of milk. How many cups of milk are needed to serve 15 people?
Answers
Answer:
10 cups
Step-by-step explanation:
6 people : 4 cups
15 people : x cups
15/6 = 2.5
4 x 2.5 = 10 cups
Hope this helps :)
(And sorry before, I was a little mixed up)
Answer:
10
Step-by-step explanation
What is the vertex for this function?
y=2x^2−12x+16
(-2, 12)
(-2, 3)
(-12, 36)
(3, -2)
Answers
Answer:
Step-by-step explanation:
hello :
y=2x²−12x+16
y = 2(x²-6x+9-9)+16
y = 2(x-3)²-18+16
y = 2(x-3)²-2.....vertex -form when the vertex is : (3, -2)
PLEQSE HELP ME WITH THIS!!
Answers
How do you convert x^2+4x+2 in vertex form?
Please explain how you do it.
Answers
Answer:
(-2,-2)
Step-by-step explanation:
Answer:
f(x)=(x+2)2−3 or (x−(−2)2−3
Step-by-step explanation:
Vertex form of equation is
f(x)=a(x−h)2+k
Here, we have f(x)=x2+4x+1, hence we have a=1. So for converting to this form, we complete the square using
(x+a)2=x2+2ax+a2 for which we have to identify a and then add and subtract a2. Hence,
Write an equation of the line in slope-intercept form.
y=
Answers
Answer:
The equation of the line in slope intercept form is y=1/3x+2
Step-by-step explanation:
find the slope of the line (3,5) (7,3)
Answers
.....................❣..........................
The function f is defined as follows.
f(x) =5x² +8
If the graph off is translated vertically downward by 5 units, it becomes the graph of a function g.
Find the expression for g(x).
Answers
Answer:
g(x) = 5x² + 3
Step-by-step explanation:
8 units are added directly to each input so just subtract 5 from that to get + 3.
The segments shown below could form a triangle.
д
C
B
9
11
B
C
O A. True
B. False
Answers
Answer:
hi the answer is true
Step-by-step explanation:
hope it helps
The triangle can be formed using the given line segments. Therefore, the given statement is true.
What is the triangle inequality theorem?The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.
Given that, line segments AC=9 units, BC=4 units and AB=11 units.
If a, b and c are the lengths of the sides of a triangle then
If a ≤ b ≤ c, then a + b > c.
9+4>11
13>11
Therefore, the given statement is true.
To learn more about the triangle inequality theorem visit:
https://brainly.com/question/1163433.
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) What is the volume of the container?
10 Inches
5 inches
12 inches
>) 27 cubic
60 cubic
inches
120 cubic
inches
600 cubic
inches
inches
shine
>
Answers
Answer:
600in³
Step-by-step explanation:
the equation for volume is:
V=s*3
(s is a varible which means LengthxHeightxWidth)
step 1
V= (10")(5")(12")
then it equals your answer
up above is the answer.
Hope it help you out.
Don't forget to label.
Since the sample size is always smaller than the size of the population, the sample mean a. must be larger than the population mean b. can be smaller, larger, or equal to the population mean c. must be equal to the population mean d. must always be smaller than the population mean
Answers
Using the mean concept, it is found that the correct option regarding the sample mean is given by:
b. can be smaller, larger, or equal to the population mean.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
No matter the population mean, the sample mean is calculated as stated above, having no restrictions about it's value, hence option b is correct.
More can be learned about the mean concept at https://brainly.com/question/24628525
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Tina and Sam are eating from the same pizza Tina eats 1/4 of the pizza and Sam eats 1/2 of the pizza how much of the pizza did they eat together
Answers
Step-by-step explanation:
The amount of pizza Tina eat
[tex] = \frac{1}{4} \\ [/tex]
The amount of pizza Sam eat
[tex] = \frac{1}{2} \\ [/tex]
The amount of pizza they eat together
[tex] = \frac{1}{2} + \frac{1}{4} \\ [/tex]
[tex] = \frac{1}{2} \times \frac{2}{2} + \frac{1}{4} \times \frac{1}{1} \\ [/tex]
[tex] = \frac{2}{4} + \frac{1}{4} \\ [/tex]
[tex] = \frac{2 + 1}{4} \\ [/tex]
[tex] = \frac{3}{4} \\ [/tex]
A new board game comes with a deck of 20 cards: 5 red, 3 blue, 2 orange, and 10 green.
After the deck is shuffled, the player is to choose the top card and note its color, replace
the card, shuffle the deck again, and then choose the top card again and note its color.
What is the probability that both cards selected are blue?
A.3%
B.2.25%
C.9%
D.6.25%
Answers
Answer:
B
Step-by-step explanation:
3/20x3/20=
15/100x15/100
Name all the common multiples of 3 and 8 that are less than 50
Answers
i don’t know 8’s multiples so, i thought i’d provide at least 3’s multiples :) i hope you have a lovely rest of your day!
HELP ASAP
In the diagram, m ZAFB = 78°
Which angle is supplementary to ZAFB and what is its measure?
Answers
Answer:
Angle AFE = 102(degree symbol)
Step-by-step explanation:
supplementary means two angles that add up to 180
hope this helps! :)
Answer:
The angle supplementary to ∠AFB is ∠EFA.
The reason why this is, is because a supplementary angle consists of two angles that have a sum of 180°.
Supplementary angles combine to form a straight line.
In this case, ∠EFA is the supplement of ∠AFB because, ∠EFA is the other part of the angle, AFB, that creates a full straight line(180°).
And to find the value of m∠EFA you would need to arrange an equation.
Since we know that the given angle measure of AFB is 78°, ∠EFA would have to equal a different measure so that both measures will have a sum of 180°.
We will consider the value of m∠EFA to be 'x' in our equation, so;
x + 78 = 180°
Solve for x:-
-78 -78
x = 102°, therefore m∠EFA = 102°.
Mrs Li's classroom is 34 feet wide and 42 feet long. Objects in classroom Mrs. Li's Desk, Fish Tank, Math Center, or Reading Center. Area of Objects (square feet) 8, 6, 100, or 120. what is the area of the classroom?
Answers
Answer:
multiply length with breadth which is 34 *42
Answer:1'428 sq ft because you multiply 34x42 witch= to 1,428
if x-y= -10 and x-y=2 what is the value of x
Answers
Answer:
No solutions
Step-by-step explanation:
if x-y=-10, then x<y
but in x-y=2, x>y
x cannot be bigger than and less than y at the same time
How many terms are there in v/3 + 2 x 5
Answers
Answer:1
Step-by-step explanation:
terms are separated by + or - signs
How can we use the distributive property to find an expression equivalent to
15(x + 2)? Place the steps in order.
CLEAR
Answers
Answer:
15x+30
Step-by-step explanation:
multiply 15 and x + multiply 15 and 2
15x+30
Evaluate the expression when a=-3 and c=5.
6c-a
Answers
Answer:
33
Step-by-step explanation:
We can plug in the values for a and c
[tex]6(5)-(-3)[/tex]
[tex]30-(-3)[/tex]
[tex]=33[/tex]
Therefore, the value of the expression is 33.
#LearnWithBrainly
Answer:
33
Step-by-step explanation:
Given values:
a = -3c = 51. Substitute the values in the expression
[tex]\implies 6c - a[/tex]
[tex]\implies 6(5) - (-3)[/tex]
2. Simplify the expression
[tex]\implies 6(5) - (-3)[/tex]
[tex]\implies 30 - (-3)[/tex]
[tex]\implies 30 + 3[/tex]
[tex]\implies 33[/tex]
