equivalent ratio of 16:18 is 8:9
the distance between the base of the tree and the base of the building is:
please
my guess is "15m" is it correct ?
Explanation:
Apply the pythagorean theorem to find the missing side.
[tex]a^2 + b^2 = c^2\\\\x^2 + 20^2 = 25^2\\\\x^2 + 400 = 625\\\\x^2 = 625-400\\\\x^2 = 225\\\\x = \sqrt{225}\\\\x = 15[/tex]
The horizontal leg of the right triangle is 15 meters long. This is the distance from the base of the tree to the base of the building.
Side note: This right triangle is based off the 3-4-5 right triangle. It has been scaled up by a factor of 5.
15. Create Write a real-world problem that can be solved by modeling integer
operations on the number line.
Answer:
The temperature was 80 degrees and it dropped 10 degrees. What is the temperature now?
80 - 10 = 70 degrees
Step-by-step explanation:
Oh pls help I have a test tomorrow
Answer:
you would write it as -3.25 as a whole number
How do I write 680,705 in expanded form.
Answer:
600,000+80,000+700+5
how do you write 0.94 as a fraction with this _on top of the 4
Answer:
[tex]94/99[/tex] Or [tex]0.94[/tex] as a repeating decimal
Step-by-step explanation:
Please help fast Subtract 5/8 - 1/6
Answer:
0.4583
Hope it helps you!!
There are 80 cupcakes to be sold at school for a
fundraiser.
1/4 were chocolate
1/5 were vanilla
The rest were strawberry flavored. How many
cupcakes were strawberry flavored?
Answer:
44
Step-by-step explanation:
Let S = strawberry count
Chocolate = 1/4 * 80 = 20
Vanilla = 1/5 * 80 = 16
Total = C + V + S
80 = 20 + 16 + S
80 - 20 - 16 = S = 44
450 m
110
equals which of the following values to the correct number of significant figures?
The equivalent expression of the given value is 4.1 m/s in two significant figures
Your question is incomplete, i believe the following is the intended question.
[tex]\frac{450 \ m}{ 110 \ s}[/tex] equals which of the following values to the correct number of significant figures ?
The express the given value in the correct significant figures we will simplify it as follows:
450 m has 2 significant figures ( 4 and 5)
110 s has 2 significant figures (1 and 1)
Thus, the resultant ratio of the two numbers will be expressed in two significant figures.
[tex]\frac{450 \ m}{110 \ s} = 4.0909 \ m/s\\\\in \ two \ significant \ figures = 4.1 \ m/s[/tex]
Therefore, the equivalent expression of the given value is 4.1 m/s
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Solve: 0 = 2x^2 + 16x
Answer:
2x^2 +16x=0
=>2 x(x+8)=0
=>2x=0 or x+8=0
=>x= 0 or x=-8
Step-by-step explanation:
Jonathan is solving this 3 variable system by hand.
What should be the entries for row 3 in step 3 (list them in order)? A) 0, -1, -2, 1 B) 0, 1, 3, 1 C) 0, 1, -2, 3 D) 3, 2, 1, 1
The entries for Row 3 in step 3 are : 0, -1, -2, 1
R_{1} = Row1
R_{2} = Row 2
R_{3} = Row 3
For the third step, STEP 3 :
THE VALUE OF Row 3 is obtained thus :
[tex]R_{3} = R_{3} - 3R_{1}[/tex]
[tex]From \: step \: 1 : R_{1} = [1 1 1 0][/tex]
[tex]R_{1} = [1 1 1 0] \\ \\
[tex]R_{3} = [3 2 1 1] \\
\\ 3R_{1} = 3(1 1 1 0) = [3 3 3 0][/tex]
[tex]R_{3} - 3R_{1} \: =
(3 - 3), (2 - 3), (1 - 3), (1 - 0) = (0, -1, -2, 1)[/tex]
Hence, the entry for Row 3 in step 3 will be :
(0, - 1, - 2, 1)
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28 plus 27 multiplied by 36
Answer:
1980
Step-by-step explanation:
Evaluate m^2 -4m+2 for m =-2
Answer:
answer is 6
Step-by-step explanation:
m^2 - 4m + 2
-2(2) - 4(-2) + 2
-4 + 8 + 2
-4 + 10
6
A fair fare. Three strangers, Bob, Mary, and Ivan, meet at a taxi stand and decide to share a cab to cut down the cost. Each has a different destination, but all the destinations are on the highway leading from the airport, so no circuitous driving is required. Bob's destination is 10 miles away, Mary's is 20 miles, and Ivan's is 30 miles. The taxi costs $2.10 per mile including the tip, regardless of the number of passengers. How much should each person pay?
Answer:
$21 the minimum Bob has to may will be the amount payed regardless of the number of passengers in the taxi
Hunter assumed he would only get 64
problems correct on his test, but he
actually got 78 correct. What was his
percent error?
Every time Sariyah babysits, she saves $12 of her earnings. Every time Aaron
babysits, he saves $9 of his earnings. After babysitting a number of times, Sariyah
and Aaron have saved the exact same amount of
earnings. What is the least possible
amount of savings they could each have?
Answer:
The least possible amount of saving they could each have is 36$
Step-by-step explanation:
12+12+12 = 36
9+9+9+9=36
You need to buy a carpet that measures 7.5 yards long and 5 yards wide and costs $49.50 per square yard. How much will the carpet for the room cost?
Answer:
$1,856.25
Explanation:
To find the square yards, multiply length and width
7.5 * 5 = 37.5
Then, since each square yard costs $49.50, multiply the square yards and the cost
37.5 * 49.50 = 1,856.25
Thus the answer is $1,856.25
The carpet for the room will cost $1,856.25.
This is the product of the unit cost per square yard multiplied by the area of the room.
The area of the room is = 37.5 square yards (Length x Width)
Length of the room = 7.5 yards
Width of the room = 5 yards
Therefore, the total area of the room = 37.5 square yards (7.5 x 5)
Thus, the total area of the room is 37.5 square yards and since each square yard costs $49.50, the total cost for buying the carpet will cost $1,856.25 ($49.50 x 37.5).
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what is the fraction of 6/7 divided 2
Answer:
the fraction of 6/7 divided by 2 is 3/7
name two points that are not contained in or lying in plain p
provide at least two ways to name plane P
Answer:
Points W and Zplane QRS; plane STUStep-by-step explanation:
a) points not on the plane will be somewhere other than on the shaded area representing plane P. Z and W are two such points.
__
b) The name can consist of any three points not on the same line. That means names RVX, RSU, TUV are not allowed, but any other combination of these letters, along with the letter Q, can be used. A couple of possible names are ...
QRS, STU
Proving functions are inverses of each other: are these inverses of each other band can you explain why or why not.
9514 1404 393
Answer:
a) J(K(x)) = x; K(J(x)) = x; functions are inverses
b) f(g(x)) = 8 -x; g(f(x)) = -x; functions are not inverses
c) f(x) = 4 -x; f^-1(x) = 4 -x. g(x) = x -4; g^-1(x) = x +4
Step-by-step explanation:
a) Substitute for the function argument in the usual way. If the functions are inverses, their composite is the identity function.
J(K(x)) = J(1/3x -2) = 3(1/3x -2) +6 = x -6 +6 = x . . . . functions are inverses
K(J(x)) = K(3x +6) = 1/3(3x +6) -2 = x +2 -2 = x . . . . functions are inverses
__
b) f(g(x)) = f(x -4) = 4 -(x -4) = 4 -x +4 = 8 -x . . . . functions are not inverses
g(f(x)) = g(4 -x) = (4 -x) -4 = -x . . . . functions are not inverses
__
c) To find the inverse function for y = f(x), solve x = f(y).
The inverse of f(x) = 4 -x is ...
x = f(y) = 4 -y
y = 4 -x . . . . . add y-x to both sides
f^-1(x) = 4 -x
and for g(x) = x -4, the inverse is ...
x = g(y) = y -4
x +4 = y
g^-1(x) = x +4
15) Darla's marching band needs money to travel to a competition. Band
members have raised $580. They need to raise a total of $1660. Write
and solve an equation to find how much more they need.
Step-by-step explanation:
$1660-$580= $1,080
Answer:
1660 minus 580
Step-by-step explanation:
they have already raised 580. so get 1660 is to subtract 1660 to 580
I WILL GIVE BRAINLIEST AND 100 POINTS (answer correctly) I NEED NUMBER 12 DONE ASAP!!
Answer:
16Step-by-step explanation:
p³/r² - (m + np) = (-8)³/4² - (-32 + 2(-8)) = -512/16 - (-32 - 16) = -32 + 48 = 16m+np
-32-16-48Now
-32-(-48)16The graph shows the result of matrix operation AB, where the pre-image has dashed lines. Which matrix could represent B?
Matrix operations includes the addition, multiplication and subtraction of matrices
The correct option for the matrix that can be used to represent B is option D)
[tex]D) = \left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]
The reason the above option is correct is as follows:
From the graph, we have that the coordinates of the preimage are;
(-6, 5), (-3, 9), and (6, 5)
The coordinates of the preimage in matrix form is given as follows;
[tex]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]
The coordinates of the image are;
(-6, -5), (-3, -9), and (6, -5)
The coordinates of the image in matrix form is given as follows;
[tex]\left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]
The above image matrix can be obtained from the primage matrix as follows:
[tex]\left[\begin{array}{rrr}1&0\\0&-1\end{array}\right]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right] = \left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]
Which is of the form AB = C
Where;
[tex]A = \left[\begin{array}{rrr}1&0\\0&-1\end{array}\right][/tex]
[tex]B = \left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]
[tex]C = \left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]
Therefore, the matrix that could represent B is [tex]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex] which is option D)
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Given the following functions:
f(x)=x^2
g(x)=x−3
Find the composition of the two functions and show your process:
f(g(x))
Answer:
[tex]x^2-6x+9[/tex]
Step-by-step explanation:
Say you have a function [tex]f(x)=x+1[/tex]. If you wanted to find f(3), you would replace the number in the parentheses, in this case 3, with x, to get [tex]f(3)=3+1=4.[/tex] When combining functions, you should do the same thing.
Here, we have [tex]f(x)=x^2.[/tex] We want to find f(g(x)). So, you should replace x in the function f(x) with the function g(x). [tex]g(x)=x-3.[/tex] So, f(g(x)) would equal [tex](x-3)^2[/tex], which equals [tex]x^2-6x+9[/tex].
Hope this helps!
2) A rectangular pyramid has the base area measuring 30 m by 20 m. Given 1 point
that the volume is 7,000 m^3, find its height. *
Answer:
20x30xH=7000
11.6666 , depends on how much you need to round it. if 2 sig figs, round it to 12.
Answer:
Pyramid Height = 3 * Pyramid Volume / Base Area
Height = 3 * 7,000 / (30 * 20)
Height = 21,000 / 600
Height = 35 meters
Step-by-step explanation:
16+24/8-6 is equal to __.
A) 6
B) 20
C) -1
D) 13
Answer:
16+21/8-6 simplifies to 13
Hope this helps!!
Answer:
D. 13
Step-by-step explanation:
Step 1:
16 + 24 / 8 - 6
Step 2:
16 + (24 / 8) - 6
Step 3:
16 + 3 - 6
Step 4:
(16 + 3) - 6
Step 5:
19 - 6
Answer = 13
Hope it helps :)
what are the coordinates of the point (2,3) after a counterclockwise rotation of 90° about the origin? Only answer if your 100% right please. Will Mark Brainliest
(-3, 2)
Step-by-step explanation:
when the point is rotated through 90∘ about the origin in the counterclockwise direction then the point M(h,k) takes the image M′(−k,h)
so the point (2,3) will be (-3 ,2 )
Determine whether the sequence is arithmetic or geometric.
Sequence 1: –10, 20, – 40, 80, ...
Sequence 2: 15, – 5, – 25, – 45, ...
Which of the following statements are true regarding Sequence 1 and Sequence 2.
A. Sequence 2 is arithmetic and Sequence 1 is geometric.
B. Sequence 1 is arithmetic and Sequence 2 is geometric.
C. Both sequences are geometric.
D. Both sequences are arithmetic.
Answer:
A. Sequence 2 is arithmetic and Sequence 1 is geometric
Step-by-step explanation:
Hello,
Answer A
-10,20,-40,80,.... is geometric= Sequence 1
15,-5,-25,-45.... is arithmetic= Sequence 2
The square root of 89 is rational or irrational and why
Step-by-step explanation:
√89 is irrational number because it is not a perfect squareDetermine the domain and range of the polynomial function
9514 1404 393
Answer:
(b) domain: all reals; range: y ≤ 6
Step-by-step explanation:
The domain of any polynomial function is always "all real numbers." There are no values of the variable for which a polynomial is undefined.
The range of a polynomial will depend on its degree and the sign of the leading coefficient. Here, the degree is even, so the range has a limit. The leading coefficient is negative, so that limit is a maximum.
Only one answer choice has these characteristics:
domain: all real numbers; range: y ≤ 6
__
The graph confirms this choice of range.
Please Help thanks!
Points A, B, and C are collinear and B lies between A and C. If AC = 48, AB = 2x + 2, and BC = 3x + 6, what is BC?
BC=
On a number line, suppose point E has a coordinate of −3,and EG=8.What are the possible coordinates of point G?
The possible coordinates for G are?
Please help!
The measure of side BC is 30 units.
Given:
Points A, B, and C are collinear and B lies between A and C.
[tex]AC=48[/tex]
[tex]AB=2x+2[/tex]
[tex]BC=3x+6[/tex]
To find:
The value of BC.
Solution:
Points A, B, and C are collinear and B lies between A and C. So,
[tex]AB+BC=AC[/tex] [Segment addition postulate]
[tex](2x+2)+(3x+6)=48[/tex]
[tex]5x+8=48[/tex]
Subtract 8 from both sides.
[tex]5x=48-8[/tex]
[tex]5x=40[/tex]
Divide both sides by 5.
[tex]\dfrac{5x}{5}=\dfrac{40}{5}[/tex]
[tex]x=8[/tex]
Now,
[tex]BC=3(8)+6[/tex]
[tex]BC=24+6[/tex]
[tex]BC=30[/tex]
Therefore, the value of BC is 30.
--------------------------------------------------------------------------------------------------------------
The possible coordinates for G are -11 and 5.
Given:
On a number line, suppose point E has a coordinate of [tex]-3[/tex], and [tex]EG=8[/tex].
To find:
The possible coordinates of point G.
Solution:
Either point G lies 8 units left of point E or 8 units right of point E.
[tex]G=-3-8[/tex]
[tex]G=-11[/tex]
And
[tex]G=-3+8[/tex]
[tex]G=5[/tex]
Therefore, the possible coordinates for G are -11 and 5.
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