Answer:
9 or 81/9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
1. Simplify the exponents
3^4 = 3*3*3*3 = 9*9 = 81
3^2 = 3*3 = 9
81/9 = 9
A statue of George Washington is also in Druid Hill Park. If a girl stands 15 m away from the statue, and places a mirror 12 m from the statue (3 m from her feet), she can see the top of the statue in the mirror. The girl's height is 5.5 ft. How tall is the statue?
Answer:
The statue is 22ft tall.
Step-by-step explanation:
Here we will have two similar triangle rectangles.
One is made between the girl's feet, the mirror, and the girl's eyes.
So in this case the catheti are:
the distance between the girl and the mirror (3 m) and the height of the girl (5.5 ft)
The other triangle rectangle has the vertices:
The mirror, the base of the statue, and the top of the statue.
Such that the catheti of this triangle are the distance between the base of the statue and the mirror (12m) and the height of the statue (we want to know this, let's call this X for the moment).
Because the triangles are similar, this means that there is a proportionality constant between each correspondent side, let's call this k.
Then the distance between the girl and the mirror must be k times the distance between the base of the statue and the mirror:
3m = k*12m
And the height of the girl must be k times the height of the statue.
5.5ft = k*X
You can see that we have different units, this does not matter because k is a dimensionless constant.
With the first equation we can find the value of k
3m = k*12m
3m/12m = k
(3/12) = 1/4 = k
Now we can replace this in the other equation to get:
5.5ft = (1/4)*X
Solving this for X we get:
(5.5ft)*4 = X
22ft = X
The height of the statue is 22ft.
140 apples increased by 45%
Answer:
The answer is 196 apples
Step-by-step explanation:
can you help with this one it is hard
Answer:300
Step-by-step explanation:
3. During the period of October 1 to 15, Cathy Powers spent the following: October 1, rent, $540;
October 6, electricity, $48.55; October 7, food, $34.15; October 6, dinner at the China Palace,
$12.80; October 12, blouse, $18.95, October 14, food, $38.60; October 15, magazine, $2.00,
and batteries, $6.50. Make a cash record of her expenses and total them.
Answer: Cathy spent a total of $701.55.
Step-by-step explanation:
The endpoints of the directed line segment AB are A(−3, 4) and B(5, 10). Find the coordinates of point P along AB¯¯¯¯¯¯¯¯ so that the ratio of AP to PB is 1 to 3.
Answer:
The coordinates of P is (-1,5.5)
Step-by-step explanation:
Here, we want to find the coordinates of the point that divides the segment into the ratio 1 to 3
To do this, we are going to use the section formula
We have this as;
(x,y) = (nx1 + mx2)/m+ n, (ny1 + my2)/m + n
where m = 1 , n = 3
(x1,y1) = (-3,4)
(x2,y2) = (5,10)
Substituting these values, we have;
(x,y) = (3(-3) + 1(5)/4 , (3(4) + 1(10)/4
(x,y) = (-9+ 5)/4 , (12 + 10)/4
(x,y) = (-1, 5.5)
Algebraically, find the roots of x² - 4x - 5=0,
Write what you know about this phrase.
Preview: constant of proportionality
Answer:
Constant - A symbol having a fixed numerical value.
Proportionality - Equality between two ratios.
f(x)=-2(x-4)^2+8 find the vertex
Set the polynomial equal to
y
to find the properties of the parabola.
y = -3(x+4)^2 - 8
Use the vertex form, y = a (x-h)^2 + k, to determine values of a,h and k
a = -2
h = -4
k = -8
Find the vertex (h,k)
(-4, -8)
As per the vertex form of a quadratic equation, the vertex of the given quadratic equation is (4, 8).
What is a quadratic equation?"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0)."
What is the vertex form of a quadratic equation?"The vertex form of a quadratic equation is:
y = a(x - h)² + k
Here, a, h, and k are real numbers, where a ≠ 0. x and y are variables.
Here, (h, k) is the vertex and (x, y) represents a point on the graph of the given equation."
Here, the given quadratic equation is:
y = f(x) = -2(x - 4)² + 8
By comparing it with the vertex form of a quadratic equation, we get:
h = 4, y = 8.
Therefore, the vertex(h, k) of the given quadratic equation is (4, 8).
Learn more about the vertex form of a quadratic equation here: https://brainly.com/question/27255597
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Q2.
Find the number that is exactly half way between -4 and 10
Answer:
3
Step-by-step explanation:
The area of a square notepad is 100 square centimeters. How long is each side?
Answer:
Each side is 25 square centimeters
Step-by-step explanation:
100 divided by 4 is 25
The volume of the oblique cylinder is 24 ft?,
Which statements are true? Check all that apply,
The height of the cylinder is 3.4 ft.
The diameter of the cylinder is about 4.5 ft.
3.4 ft
The diameter of the cylinder is about 3 ft.
The radius of the cylinder is about 6 ft.
A right cylinder with the same height and radius as
this oblique cylinder would also have a volume of
24 fri
Answer:
A, C, E
Step-by-step explanation:
Right on Edge
anyone know this?????
Answer:
WZX=57
Step-by-step explanation:
90-33 = 57
You don't have to use the equation unless you want to check yourself.
2. What is the surface area of the triangular prism below?
The surface area of triangular prism is 281.68 square cm
What is the triangular prism?Triangular Prism is a pentahedron and has nine distinct nets. The edges and vertices of the bases are joined with each other via three rectangular sides. The sides of the triangular prism, which are rectangular in shape are joint with each other side by side. All cross-sections parallel to the base faces are the same as a triangle. A triangular pyramid has four triangular bases unlike the triangular prism, joined with each other and all are congruent to each other.
We have,
The length of triangular prism(l)=13 cm
The height of triangular prism(h)= 5.1 cm
The base of triangular prism(b)= 6.8 cm
S1, S2, and S3 are the three edges (sides) of the base triangle=6.1 cm,6.8 cm and 6.1 cm
Perimeter of base(p)=S1+S2+S3
=6.1cm+6.8cm+6.1cm
=19cm
According to question,
We know the formula of The surface area of prism=(perimeter of base× length of prism)+(2×base area of prism)
=(P ×l)+(2×[tex]\frac{1}{2}[/tex]×b ×h)
=(19×13)+(6.8×5.1)
= 247+34.68
=281.68 square cm
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someone help please
Answer:
b
Step-by-step explanation:
102.4..... you're right
Answer:
the answer is 102.4
Step-by-step explanation:
What is the Volume of a hexagonal pyramid shown if the hexagon has a side length of 4 inches and the height of the pyramid is 12 inches?
Answer:
166.24 in³Step-by-step explanation:
Volume formula:
V = 1/3 Bh, B-base area, h- heightBase area:
B = 3√3a² / 2 = 3√3*4² / 2 = 41.57 in (rounded)Volume:
V = 1/3*41.56*12 = 166.24 in³Write an equation of the line below.
Answer:
y = 4x-2
Step-by-step explanation:
y = mx+b
y = 4x+b
y = 4x-2
Solve for X. Will give brainliest!
Answer:
57.6
Step-by-step explanation:
Parallel lines cut by transversals have proportional segments.
25/30 = 48/x
25x = 30 * 48
25x = 1440
x = 57.6
A construction worker drops a wrench from a height of 484 feel the function
h =
16x
+ 484 gives the height h of the wrench after a seconds When does the wrench hit the ground?
The wrench hits the ground blank
seconds after it is dropped
Answer:
30.25 seconds
Step-by-step explanation:
If you want to find the time at which the wrench hits the ground, you must recognize that the height of the wrench is 0 feet. If h represents the height, then 0 can be plugged in for h. The equation is now 0=16x+484. You then must subtract 484 from both sides, giving you -484=16x. You then divide both sides by 16 to give you x by itself. -484/16=-30.25. Because this is dealing with time and negative time does not exist, the negative sign on the 30.25 can be neglected.
The two photos are both for the same question please help I dont know how to solve the revered graph
Answer:
point b is plotted incorrectly
Step-by-step explanation:
Colton sold a total of 28 tee shirts and sweatshirts as a fundraiser for his football team. If tee shirts cost 12 dollars each and sweatshirts cost 20 dollars each and he raised a total of 424 dollars how many tee shirts did he sell?
Answer:
11 sweatshirts and 17 t shirts
Step-by-step explanation:
[tex]t + s = 28\\12t = 20s = 424[/tex]
Step one: cancel out one variable. In this one, t.
[tex]-12(t + s = 28)\\-12t -12s =-336[/tex]
Now that we have that, subtract that from the other expression.
[tex]12t + 20s = 424\\-12t -12s = 336[/tex]
You should get:
[tex]8s = 88\\ s = 11[/tex]
Plug s in any expression
[tex]t + 11 = 28[/tex]
You should know where to go from there, I'm lazy :p
Then t = 17
GOod Luck!!!!
6x + 2(5x -6) how do i get the answer?
Which number line shows the correct locations of all the given values?
Answer:
it would be c because it is plotted correctly
Please help I am begging you extra points and BRAINLIEST!!!!!!!
You don’t have to show the work just answers! If you do this it will make my whole life please help!!!!!!!
1) x= 14
2) x=110
3) x=5
4) x=110
extra
1) x=4
2) x=6
3) x=10
Which graph does not represent a function
Answer:
The graph that does not represent a function is;
The first graph of the circle
Step-by-step explanation:
A function is a relationship, rule or law that maps the inputs 'x' the input set 'X' known as the domain, to exactly one output 'y' in the output set 'Y' known as the range
Therefore, a function maps an input to exactly one output
In a graph, the inputs are usually the x-variables, therefore the graph that maps the x-variables (in which an x-variable has) to more than one y-variable is the graph of the circle
In the graph of the circle, we have;
When x = 0 at the origin, y = 0
Similarly
When x = 0 at the maximum point, y = 4
Therefore, the graph of the circle does not represent a function.
Please help me ASAP!
Answer:
C
Step-by-step explanation:
6 is the smallest so the first one would be c because it is the smallest
What is the volume of this solid?
Answer:
175 in³
Step-by-step explanation:
First the area of the triangle:
S: ½a×b×SinC
½×7in×10in×Sin90°===> 35in²
and now the volume
35 in²×5 in=175 in³
Write an equation in slope intercept form of the line that passes through the points (4,13) and (8,18)
A. y=2.5x+3
B. y=1.5x+7
C. y=2x+5
D. y=1.25x+8
Answer:
y=5/4x+8 Answer Choice D).
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(18-13)/(8-4)
m=5/4
y-y1=m(x-x1)
y-13=5/4(x-4)
y-13=5/4x-20/4
y-13=5/4x-5
y=5/4x-5+13
y=5/4x+8
In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings. What is the probability that a student who has a brother also has a sister?
Answer: 11
Students have both a brother and a sister
Step-by-step explanation:
I don't think probability should be used for this question because the answer is quite clear
So in a class of 25 students
5 students don't have a sibling
So 25-5=20
Total number of siblings=14+17=31 siblings in total
So 20 people have 31 siblings
31-20=11
So the answer should be 11
In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings. The probability that a student who has a brother also has a sister is 11/25.
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events that belong to E, and total cases are the size of the sample space.
In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings.
So in a class of 25 students
5 students don't have a sibling
then, 25-5=20
Total number of siblings = 14+17
= 31 siblings in total
So, 20 people have 31 siblings
= 31 - 20
= 11
So, the probability that a student who has a brother also has a sister
= 11/ 25.
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i’ll give brainliest, please show work
Answer:
H = .298
Step-by-step explanation:
First lets plug in 1.5 for R and 16 for Surface area to get the following
2*pi*1.5^2+2*pi*h = 16 We are solving for H or height
Lets simplify this out a bit to get
16 = 14.13+6.28h
Subtract 14.13 from both sides
1.87 = 6.28h
h= .298
To check our answer lets plug the height into the equation
2*pi*1.5^2+2*pi*.298 = 16
Yes the height or H is .298
To check your answer just plug back what you got before into the equation
How might doing math slowly help with problems that are difficult to understand or hard to solve?
Q: How might doing math slowly help with problems that are difficult to understand or hard to solve?
A: It calms you down. When you are stressed, you are most likely to get it wrong because you are panicking. This also helps because you can read the problem correctly and make sure you are doing it right, because in math, If you get 1 small thing wrong, you usually get the entire thing wrong.
I hope this helped!
~flipohrama