Answer: The side of the house will the ladder reached by ladder = 16.52 feet
Step-by-step explanation:
House is standing vertical on the ground.
By placing ladder, it will become a right triangle with hypotenuse as ladder.
By Pythagoras theorem,
[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]
i.e.
[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]
Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)
Leonard plans to build a garage on a square plot of land. If one side of the plot is 6g3h5 feet long, express the area of his plot as a monomial
Answer:
[tex]Area= 36g^6h^{10}[/tex]
Step-by-step explanation:
Given
[tex]Length = 6g^3h^5[/tex]
Required
Determine the area as a monomial
This is calculated as:
[tex]Area = Length * Length[/tex]
[tex]Area= 6g^3h^5*6g^3h^5[/tex]
This can be rewritten as:
[tex]Area= 6*6*g^3*g^3*h^5*h^5[/tex]
Apply law of indices
[tex]Area= 36*g^6*h^{10}[/tex]
[tex]Area= 36g^6h^{10}[/tex]
Please help! The question and answer choices are attached.
What is the missing value in the table below?
Answer:
11
Step-by-step explanation:
HELP QUICK PLEASE I BEG Grace invested $14985 in an account paying an interest rate of 9% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 3 years? (Do not use commas in your
answer)
PLEASE HELP QUICK
Benjamin has enough icing to cover a 1/2-square-foot cake. He wants to use the icing to cover 2 equal-sized cakes. Which expression shows the size of each of two cakes that Benjamin can cover with the icing? A- 1/2 divided by 2 B- 2 divided by 1/2 C- 2 times 1/2 D- 1/2 divided by 1/2
Answer:
b
Step-by-step explanation:
To determine the size of each of the two cakes that can be covered with icing, he would divide the number of cakes by the amount of icing
2 ÷ [tex]\frac{1}{2}[/tex]
PLEAS HELP ASAP 30 POINTS!!!
An incomplete proof of cosθsinθ/1+sinθ=tanθ(1-sinθ) is shown.
Which of the following expressions could be used to complete the third step pf the proof?
Answer:
C
Step-by-step explanation:
Take a look at the RHS of the 2nd step, the denominator -- 1-sin²∅ = cos²∅
We come up to the conclusion of C
PLEASE Can someone plz help me
9514 1404 393
Answer:
$11,988
Step-by-step explanation:
A graphing calculator gives you the answer easily.
The minimum unit cost is $11,988.
__
The equation for unit cost can be put into vertex form to find the minimum.
C(x) = 0.7x^2 -210x +27738
C(x) = 0.7(x^2 -300x +150^2) +27738 -0.7(150^2)
C(x) = 0.7(x -150)^2 -11,988
This is vertex form:
C(x) = a(x -h)^2 +k . . . . . . . where (h, k) is the vertex.
The vertex of this cost function is (150, 11,988).
The minimum unit cost occurs when 150 engines are produced. That unit cost is $11,988.
Answer:
the answer is $11,988
Step-by-step explanation:
:)
AABC is dilated by a factor of 4 to produce AA'B'C'.
What is A'C, the length of AC after the dilation? What is the measure of ZA?
Answer:
A
Step-by-step explanation:
because the sky is blue
The length of AC after dilation will be 20. Then the measure of the angle ∠A' will be 37°.
We have given that,
AABC is dilated by a factor of 4 to produce AA'B'C'.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
The triangle ΔABC is dilated by a factor of 4 to produce the triangle ΔA'B'C'.
Then the length of AC after dilation. We have
A'C' = scale factor x AC
A'C' = 4 x 5
A'C' = 20
Then the measure of the angle ∠A' will be
There is no effect of dilation on the angle.
∠A = ∠A' = 37°
Thus, the correct option is A.
More about the dilation link is given below.
brainly.com/question/2856466
#SPJ5
what is 2(3x+2)=2x+28
Answer:
x=6
Step-by-step explanation:
6x+4=2x+28
4x=24
x=6
write the equation (3,5) in standard form
Answer:
We can write out 3! (three factorial) as 3x2x1, and we can write out 5! as 5x4x3x2x1. This means that, since 3x2x1 is on the top and the bottom of the fraction, it cancels out. This leaves us with 1 on top, and 4x5=20 on the bottom.
Step-by-step explanation:
can you please help me with my question
About how many more website hits were there on Saturday than on Friday?
Answer:
1,000 hits
Step-by-step explanation:
Saturday: 2,000 hits
Friday: 1,000 hits
2,000 - 1,000 = 1,000
Answer: 1,000 hits
Step-by-step explanation:
I just took the test, it's right.
What is the total surface area and volume?? PLEASE HELP ME ASAP
Answer:
228
Step-by-step explanation:
ANOTHER QUESTOIn?
What integer makes this equation true? -2 + X = 10
Answer:
12 I think
Step-by-step explanation:
hope this helps
Answer:
the answer is 12
Step-by-step explanation:
your welcome
Help me with this please!!!!
Answer:
yes
Step-by-step explanation:
it said it is a perpendicular BISECTOR, H is the mid point of KI, HK = 7
[tex]\huge{\underline{\underline{\boxed{\sf{\red{Answer࿐}}}}}}[/tex]
Yes!Factorise the exprssions
x^2-ax-bx+ab
[tex](x - a)(x - b)[/tex]
Step-By-Step Explanations:
1) Factor out the common term in the first two terms, then in the last two terms.
[tex]x(x - a) - b(x - a)[/tex]
2) Factor out the common term x - a.
[tex](x - a)(x - b)[/tex]
Therefor, the answer is ( x - a ) ( x - b ).
PLEASE SOMEONE!!HELP!! I need the answer right now
Answer:
m = -1, b = 5.
Step-by-step explanation:
We can find the slope, m, by plugging in our coordinates into the slope formula: [tex]\frac{y2-y1}{x2-x1} =\frac{2-7}{3-(-2)}=\frac{-5}{5}=-\frac{5}{5}=-\frac{1}{1}=-1[/tex]. That gives us the slope. Now we can fill that in the slope intercept formula: [tex]y=-1x+b[/tex]. We know one of the coordinates and the slope, which allows to find the y-intercept. We know that for every 1 unit down on the line, we move 1 unit right, and vice versa. Meaning we can just count down (or up in this case), so, (-2, 7), (-1, 6), (0, 5). Therefore, our y intercept is 5.
find the length . IF necessary round to the tenth
Answer:
24
Step-by-step explanation:
Finding the lengths of a Triangle is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
Your triangle is [tex]7^{2}[/tex] + [tex]b^{2}[/tex] = [tex]25^{2}[/tex]
Which is 49 + b = 625
Subtract the difference 625 - 49. then you get the following
b = 576
Finally find the square root of this number and that's your answer: 24
Answer:
by using Pythagoras law
third side =√(25²-7²)=24
trigonometry please help! work need to be shown
Answer:
x = 5.56
Step-by-step explanation:
Apply trigonometric function to find x
Reference angle = 46°
Hypotenuse = 8
Adjacent length = x
Apply CAH:
Cos 46 = Adj/Hyp
Cos 46 = x/8
8 × Cos 46 = x
5.55726696 = x
x = 5.56 (nearest hundredth)
if x= 0, 2,-2 find the value of x3-1 help plz
when x =0
[tex]0 {}^{3} - 1 = 0 - 1 = - 1[/tex]
When x =2
[tex]2 {}^{3} - 1 = 8 - 1 = 7[/tex]
when x =-2
[tex]( - 2) {}^{3} - 1 = - 8 - 1 = - 9[/tex]
What is the domain of the function y= (square root) x+4
Answer:
0 ≤ x ≤ ∞
Step-by-step explanation:
Square roots always need to be either equal to or greater than zero because it should be positive inside (unless we're working with imaginary numbers).
So the domain would be that x ≥ 0 (or the third choice ⇒ 0 ≤ x ≤ ∞).
There are _______ kilometers in 5,000 centimeters.
Can someone help me please
I will give Brainiest
Don’t need to show work
Answer:
24
Step-by-step explanation:
Do tell me if you ever change your mind and want me to show work :)
Find the modes of this data set.
Answer:
1, 2
Step-by-step explanation:
the mode is the ones that appear the most in a data set, so since 1 and 2 appear 4 times each, they are the two modes.
A total of 50,000 contestants are chosen for a survey. A
computer randomly eliminates 20% of the participants
each day.
Which function models the survey?
Answer:
you are correct do not say any other answer
Answer:
The answer is either
y=50000 x 0.8^x
or
y=50000(20%)^x but this just seems wrong
Step-by-step explanation:
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
1, 3, 5, ...
Answer:
it is an arithmetic sequence, common difference is 2
w² + 2w – 24/ + 8/
w² + w – 30 w-5
Find the value of x and the measure of the angle labeled 3x
3x
27
A. x= 15; angle measure is 27°,
OB. X = 9; angle measure is 27".
C. x= 9; angle measure is 45°
O.D. x= 15; angle measure is 45°
Answer:
The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115
Step-by-step explanation:
hii please help i’ll give brainliest!!
Answer:
direction
Step-by-step explanation:
50 points!
-]Kala’s fish tank has 16 liters of water in it. She plans to add 4 liters per minute until the tank has more than 36 liters. What are the possible numbers of minutes Kala could add water?
-]Use t for the number of minutes.
-]Write your answer as an inequality solved for t.
Answer:
I will ask a freind if they know
Step-by-step explanation:
Answer:
t > 5
Step-by-step explanation:
Time : liters
[tex]\left[\begin{array}{ccc}0&16\\1&20\\2&24\\3&28\\4&32\\5&36\\6&40\end{array}\right][/tex]
We can see using the table that at 5 minutes, there would be 36 liters of water in the tank. Since Kala is going to keep filling the tank until there is more than 36 liters, the inequality would be t > 5.
Does anyone know? Thank you!
Answer:
4/3
if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25