Answers
Answer:
18
Step-by-step explanation:
1. Create the ratio 12:9
The first number in the ratio is where the length of the shadow will go. The second number is where the length of the building will go.
2. Subtract 21 by 12 to find out how much we have to add to 9. (21-12=9)
3. Add 9 to 9. (18)
We now have 21:18.
Related Questions
When solving this problem, what is the first step you would need to do? 3 (4x - 5) = 10 Add 5 Divide by 4 Distribute the 3 Subtract 4x - 5
Answers
Answer:
Distribute the 3
Step-by-step explanation:
order of operations mate
3.) Find the volume of a triangular prism with a length
of 5 units, a width of 6 units, and a height of 4 units.
Answers
Answer:
Volume V = 18.735 m3
Step-by-step explanation:
hope this helps
Determine the component representation and magnitude of the vector having the initial point P and the terminal point Q.
P(-3,2) and Q(5,17)
The component representation of the vector having the initial point P and the terminal point Q is....
The magnitude of the vector having the initial point P and the terminal point Q is ....
Answers
The magnitude of the vector having the initial point P and the terminal point Q is 17.
What is magnitude ?
Simply said, "distance or amount" is the definition of size. In terms of motion, it shows the absolute or relative size, direction, or movement of an item. It is used to describe something's size or scope. Magnitude in physics often refers to a size or amount.
Given: p (- 3,2) , q (5,17)
vector = (17-2)i + (5+3)j
= 15i + 8j
Magnitude = \(\sqrt{(15^{2}+8^{2} ) }\)
magnitude =17
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The perimeter of a greeting card is 74 centimeters. The greeting card is 22 centimeters tall. How wide is it?
Answers
Answer:
15cm
Step-by-step explanation:
the width is xcm
22 + 22 + 2x = 74
44 + 2x = 74
2x = 30
x = 15
the width is 15cm
Check all the statements) that are true about the polynomial function graphed
Its leading coefficient is positive. its leading coefficient is negative.
It has an odd degree
It has an even degree
It has exactlv two real zeroes
It has exactly three real zeroes.
None of the zeroes have even multiplicity
None of the zeroes have odd multiplicity.
Answers
The true statements about the polynomial function graphed are:
Its leading coefficient is positive.
It has an odd degree.
None of the zeroes have even multiplicity.
From the given options, the true statements about the polynomial function graphed are:
Its leading coefficient is positive.
It has an odd degree.
None of the zeroes have even multiplicity.
Let's analyze each statement:
Its leading coefficient is positive:
The leading coefficient of a polynomial is the coefficient of the term with the highest degree.
From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.
It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.
If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.
None of the zeroes have even multiplicity:
The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.
In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.
The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.
Therefore, the true statements about the polynomial function graphed are:
Its leading coefficient is positive.
It has an odd degree.
None of the zeroes have even multiplicity.
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What is the image of (-3,-7) under a rotation of 90 degrees
Answers
The new coordinate (- 7, 3 ) of the image of (-3,-7) under a rotation of 90 degrees.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Let the coordinate Z is (-3, -7)
Under a clockwise rotation about the origin of 90 degrees
A coordinate ( x, y ) → ( y, - x ),
The coordinate Z is (-3, -7) and is translated using the rule
Then simply plug in the values of x and y which are x = -3 and y = -7
Thus ( -3, - 7 ) → (- 7, 3 )
This is the new coordinate for Z (- 7, 3 )
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The graph of the function f(x) = (x-4)(x + 1) is shown
below.
Which statement about the function is true?
O The function is increasing for all real values of x
where
x < 0.
O The function is increasing for all real values of x
where
x < -1 and where x > 4.
O The function is decreasing for all real values of x
where
-1
O The function is decreasing for all real values of x
where
x < 1.5.
Answers
The statement that is true regarding the function f(x) = (x-4)(x + 1) is that the function is increasing for all real values of x where x < -1 and where x > 4. So, the option is: O The function is increasing for all real values of x where x < -1 and where x > 4.
Explanation: Given function is:f(x) = (x - 4) (x + 1). The graph of the given function is shown below: As it is visible from the graph, the function is decreasing for all real values of x where x lies between -1 and 4 (inclusive).
The turning point of the function is x = -0.5, which is the x-coordinate of the vertex of the parabola. Also, we see that the vertex is the minimum point of the parabola and the y-coordinate of the vertex is -4.25. This means that f(x) ≥ -4.25 for all x. The function is increasing for all real values of x where x < -1 and where x > 4.
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If 400 x 300 = 120,000
And 40 x 30 is 1,200
Fill in the blanks and show your work
*_____ x ______ = 12,000?
Answers
Answer:
this list
Step-by-step explanation:
1×12000=12000
2×6000=12000
3×4000=12000
4×3000=12000
5×2400=12000
6×2000=12000
8×1500=12000
10 ×1200=12000
12 ×1000=12000
Explain the process you would use to find the area of the shaded region. Then calculate the shaded region.
You may leave your answer in terms of π or round to the nearest tenth.
Answers
The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.
What is the area of the shaded regions?Question 17) is a figure of a rectangle and two inscribed circles.
The area of a rectangle is expressed as: A = length × width
The area of a circle is expressed as: A = πr²
Where r is the radius.
To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.
Area = ( Length × width ) - 2( πr² )
Area = ( 40 × 10 ) - 2( π × 5² )
Area = ( 400 ) - 2( 25π )
Area = 400- 50π
Area = 242.9 cm²
Area of the shaded region is 242.9 squared centimeters.
Question 18) is the a figure a sector of a circle and a right triangle.
The area of a sector is expressed as: A = (θ/360º) × πr²
The area of a triangle is expressed as: A = 1/2 × base × height
To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.
Hence:
Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )
Plug in the values:
Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )
Area = 25π/4 - 12.5
Area = 7.1
Therefore, the area of the shaded region is 7.1 square units.
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A certain game and fun center charges a fee to rent the party room for birthday parties plus an additional fee per guest. The graph shows the total cost for several guests. Find and interpret the rate of change and initial value.
Answers
Answer:
i Believe c
Step-by-step explanation:
Choose which option shows the plan and which option shows the front elevation of this 3D shape.
Answers
Answer:
Think about what surfaces on are the indicated front side. And protrustions like the one shown will have a divider that separates the high side from the low side answer c
The length of ribbons found at a seamstress are listed.
3, 11, 11, 13, 13, 21
What is the appropriate measure of variability for the data shown, and what is its value?
The mean is the best measure of variability and equals 11.
The median is the best measure of variability and equals 11.5.
The range is the best measure of variability and equals 18.
The IQR is the best measure of variability and equals 2.
Answers
A submarine dives 51 3/5 meters below the surface of the water in 4 minutes. how many meters does the submarine dive each minute? NO LINKS!
A: 12 9/10
B: 12 3/4
C: 206 2/5
D: 47 3/5
Answers
Answer:
so you have to subtract for minus 53 so 4 - 53 is wait you have to subtract 51 and 3 and 1/2 - 4 so I'mma just get to the answer the answer is b
school has a square playground with each side
measuring 120 feet. A scale drawing of the playground uses the scale 1/2 inch equals 12 feet. What is the length of a side of the playground on
this scale drawing?
Answers
Answer:
5 inches
Step-by-step explanation:
120f - x
12f - 0,5i
..
1f - 12i
1440i - x
144i - 0,5i
x=0,5×1440/144
x = 5
the product of 4 and a number split into 6 parts
Answers
Answer:
4x ÷ 6
Step-by-step explanation:
4 times a number split into 6 parts
4x ÷ 6
The cost of a gym membership is a onetime joining fee of $140, plus a monthly fee of $40. Joe wrote a $500 check to pay his gym membership for a certain number of months, including the onetime fee. How many months of membership did he pay for?
Answers
c
a
=
$
10
m
+
$
15
The cost of membership at gym B can be written as:
c
b
=
$
4
m
+
$
40
Where
c
g
y
m
is the cost after
m
months.
To find when the cost is equal, equate the right side of both equations and solve for
m
:
$
10
m
+
$
15
=
$
4
m
+
$
40
Next, subtract
$
15
and
$
4
m
from each side of the equation to isolate the
m
term while keeping the equation balanced:
−
$
4
m
+
$
10
m
+
$
15
−
$
15
=
−
$
4
m
+
$
4
m
+
$
40
−
$
15
(
−
$
4
+
$
10
)
m
+
0
=
0
+
$
25
$
6
m
=
$
25
Now, divide each side of the equation by
$
6
to solve for
m
while keeping the equation balanced:
$
6
m
$
6
=
$
25
$
6
$
6
m
$
6
=
$
25
$
6
m
=
25
6
m
=
4.17
At 4 months the cost of the two gym memberships will be about the same.
bonsoir pouvez vous m'aidez
Answers
Answer:
Treatment for HIV/AIDS involves taking highly effective medicines called antiretroviral therapy (ART) that work to control the virus [1][2]. ART involves taking a combination of HIV medicines (called an HIV regimen) to suppress the virus and stop the progression of the disease [1]. The goal of treatment is to reduce the amount of HIV in the body and keep it at a low, undetectable level to help prevent further damage to the immune system and reduce the risk of transmitting HIV to others.
Choose the equation of the line in slope-intercept form.
Parallel to the x-axis and has the point (-1,9).
A. x = -1
B. y = 9
C. y = -1
D. x = 9
Answers
Answer:
B) y = 9
Step-by-step explanation:
Equation of a line in slope-intercept form: y = mx + b
(where m is the slope (gradient) and b is the y-intercept)
If the line is parallel to the x-axis, the slope is zero.
Therefore, y = (0)x + b
⇒ y = b
We are told that the line passes through point (-1, 9). Therefore, the y-intercept is 9.
So the equation of the line is: y = 9
What is the opposite of 4 4/5
Write your answer as a mixed number.
Answers
Solution:
To find the opposite of a fraction (or mixed fraction), simply change the sign of the mixed fraction.
=> 4 4/5 = -4 4/5The opposite of 4 4/5 is -4 4/5.
Hoped this helped!
ME
9. The Audio Outlet purchased 60 cassette recorders, gave away three in a
contest, and sold the rest at twice their purchase price. If the store's total
profit was $1188, how much did the store sell each recorder for?
Answers
6 and 5 hundredths written in decimal
Answers
Answer:6.05
Step-by-step explanation:
6 is the ones place. 0 is the tenths place. 5 is the hundredths place.
the price stock A at 9 am was $13.92. since then the price has been increasing at the rate of $0.11 each hour. At noon the price of Stock B was 14.67. It begins to decrease at the rate of $0.14 each hour. if the two rates continue , in how many hours will the prices of the two stocks be the same
Answers
The number of hours when the two stocks would be the same is 1.68 hours.
In how many hours would the two stocks be the same?The first step is to determine the price of stock A at noon.
Price of stock A at noon = price at 9am + (rate of increase per hour x time difference)
Time difference = 12 - 9am = 3 hours
= $13.92 + (0.11 x 3)
= $13.92 + 0.33
= $14.25
Value of stock A t hours after noon = $14.25 + (0.11 x t)
= $14.25 + 0.11t
The equation that can be used to determine the price of stock B at time t is:
Price of stock B at time t = beginning price - (rate of decline x time)
= $14.67 - (0.14 x t)
= $14.67 - 0.14t
When the two stocks are the same, the two equations would be equal to each other:
$14.25 + 0.11t = $14.67 - 0.14t
solve for t:
0.11t + 0.14t = $14.67 - $14.25
0.25t = 0.42
t = 0.42 / 0.25
t = 1.68 hours
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Sera had the number 548.She adds one to the tens and two to the units. What number would Sera end up with??
Answers
The number she'd have is:
560Explanation:
First, let's see which number is in the tens place and which number is in the ones place (the units place).
In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).
So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :
550
That's not all, since we also add 1 to the tens:
560
Hence, Sera ends up with 560.In 1968, the estimated population of the world was 3,559,028,982 people. When this number is written in expanded form using exponents, one power of 10 would not be represented. Which power of 10? Why?
Answers
Answer:
10 to the power of 5 or 10^5.
Step-by-step explanation:
The digit in the hundred thousand digit place is a 0. This means that it is not represented in the expanded form of 3,559,028,982.
Answer:
10^5 has a coefficient of 0
Step-by-step explanation:
10^5 would have a coefficient of 0, so might be left out of the expansion.
_____
The expansion is ...
3×10⁹ +5×10⁸ +5×10⁷ +9×10⁶ +0×10⁵ +2×10⁴ +8×10³ +9×10² +8×10¹ +2×10⁰
__
Additional comment
I like to show the 0 terms for completeness, and to demonstrate the decreasing powers of 10 associated with each of the number places (left-to-right). Apparently, your curriculum author intends that you leave out the zero term in your expansion.
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
Answers
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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Students in a math class will be randomly assigned a polygon for
a class project. The only types of polygons being assigned are
quadrilaterals. pentagons, hexagons, octagons nonagons, and
decagons. If there is an equal type of polygons, what is the
probability that the first polygon assigned will be a nonagon?
Express your answer as a fraction
Answers
Answer:
There are 6 different shapes
You want the outcome to be a Nonagon
You put the outcome as a ratio 1/6
1/6=0.1666667
0.1666667*100=16.6667%
Chance of pulling out a nonagon
it takes 4 cans of paint to paint 1/3 of a room. How many cans of paint do I need to paint 1 room? Solve using a strip diagram
Answers
Answer:
Step-by-step explanation:
4 cans of paint = 1/3 of room
4 times 3 equals 12
It takes 12 cans of paint to paint one room.
Suppose that a scarf company estimates that its monthly cost is
C(a)=500x2 + 300 and its monthly revenue is
R(x) = -0.523 +6002-200+300, where x is in thousands of
scarves sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
Answers
The profit function is P(x) = -500.523x^2 + 600x - 200.
To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).
Given:
Cost function: C(a) = 500x^2 + 300
Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300
Profit function, P(x), is obtained by subtracting the cost function from the revenue function:
P(x) = R(x) - C(a)
P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)
Simplifying the expression:
P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300
P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300
P(x) = -500x^2 - 0.523x^2 + 600x - 200
Combining like terms:
P(x) = (-500 - 0.523)x^2 + 600x - 200
Simplifying further:
P(x) = -500.523x^2 + 600x - 200
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A restaurant stores flour, rice, and sugar in three different cylindrical containers.
Answers
The height of the rice cylinder is 12in.
The volume of the flour cylinder is 50.24 in.
What is a cylinder?A cylinder is a 3-D figure that has a radius and a height.
The volume of a cylinder is given as πr²h.
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume.
= 3.14 x 2 x 2 x 5
= 62.8 cm³
We have,
Sugar cylinder:
radius = 2.5 in
height = 8 in
Volume.
= πr²h
= 3.14 x 2.5 x 2.5 x 8
= 157 in²
Rice cylinder:
radius = 2.5 in
height = h
Volume = πr²h
Volume = 235.5 in²
πr²h = 235.5
3.14 x 2.5 x 2.5 x h = 235.5
196.26 x h = 235.5
h = 12 in
Flour cylinder:
Area of base = 12.56 in²
height = 4 in
Volume = x
Area of base = πr²
12.56 = 3.14 x r²
r² = 12.56/3.14
r² = 4
r = 2
Now,
Volume.
= πr²h
= 3.14 x 2 x 2 x 4
= 50.24 in²
Thus,
The solution for each cylinder is given above.
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100 Points! Geometry question. Find x and y. Photo attached. Please show as much work as possible. Thank you!
Answers
The calculated values of x and y in the figure are x = 2 and y = 4
How to calculate x and y in the figurefrom the question, we have the following parameters that can be used in our computation:
The figure
Where, we have
equal side lengths
This means that
2y - 1 = 3y - 5
Evaluate
y = 4
Next, we have
x + 3 = 3/2x + 2
So, we have
1/2x = 1
This gives
x = 2
Hence, the values of x and y in the figure are x = 2 and y = 4
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