Answer:
B. 35
Step-by-step explanation:
1. Multiply 15 by 21 to get 315 ft.
2. Convert square feet to square yards to get 35
3. There are 3 feet in ONE yard. The question asks you to convert the area from SQUARE feet to SQUARE yards. Squared means two. Three feet (or one yard) doubled is 9, so divide 315ft by 9.
4. 315 divided by 9 gives you 35
(This answer is correct according to the Official 2020-2021 ACT Practice Test answer sheet)
The area of the floor in square yards will be 315 square feet's.
What is the area of square and a rectangle?
The area of the square and rectangle is -
Square = [x]² {x is the side of a square]
Rectangle = L x B {L is the length and B is breadth}
Given is a room has a rectangular floor that is 15 feet by 21 feet.
We have room that has a rectangular floor that is 15 feet by 21 feet.
The area of the rectangle will be -
A = 15 x 21
A = 315 square feet's.
Therefore, the area of the floor in square yards will be 315 square feet's.
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Tam has $16.58 in her bank account. She spends $4.69 on school supplies and deposits $5.00. What is her new balance?
A. $6.89
B. $16.89
C. $17.11
D. $26.27
Answer:
B-$ 16.89
Step-by-step explanation:
15pt question!
A weather forecaster states that there is a 70% chance of rain on Thursday and a 20% chance of rain on Friday. What is the probability of it raining on Thursday and Friday? Assume these are independent events.
Answer:The probability is 0.14 or 14%
Step-by-step explanation:
Please give me brainliest,this is correct
Answer:
Answer:The probability is 0.14 or 14%
Step-by-step explanation:
HELP ASAP WILL MARK AS BRAINLIEST
Answer:
280
Step-by-step explanation:
Please help solve this
Answer:
49/54
Step-by-step explanation:
Need help with question 1. Anything is appreciated:) (if you don’t don’t that’s ok)
A kitchen sink has a volume of 1800 cubic inches.What is the volume of a similar sink that is larger by a scale factor of 2
Answer:
14400 cubic inches.
Step-by-step explanation:
Let l, b and h are length, breadth and height of a cuboid respectively, then
[tex]V=l\times b\times h[/tex]
If another cuboid is larger by a scale factor of k, then kl, kb and kh are length, breadth and height of new cuboid respectively.
[tex]V_1=kl\times kb\times kh[/tex]
[tex]V_1=k^3(l\times b\times h)[/tex]
[tex]V_1=k^3V[/tex] ...(i)
It is given that a kitchen sink has a volume of 1800 cubic inches and a similar sink is larger by a scale factor of 2.
Substitute k=2 and V=1800 in equation (i).
[tex]V_1=2^3(1800)[/tex]
[tex]V_1=14400[/tex]
Therefore, the volume of required sink is 14400 cubic inches.
Answer:
The volume is 14,000
Step-by-step explanation:
v= 2 to the power of 3 times 1800
so 8 x 1800=14,400
Hope this helps!!
Jackson uses a table saw to cut a piece of plywood from one corner to the opposite corner. If the piece of plywood measured 16 inches by 12 inches, how long was the cut that Jackson made?
Answer:
20
Step-by-step explanation:
You're trying to find the hypotenuse. To do that you have to square 16 and 12. That gets you 256 and 144. You then have to add the 2 numbers. That gets you 400. Finally square root 400 to get 20.
Find the surface area of the prism.
Answer:
57.1 milometer square
Step-by-step explanation:
The surface area is the area that describes the material that will be used to cover a geometric solid. When we determine the surface areas of a geometric solid we take the sum of the area for each geometric form within the solid.
The volume is a measure of how much a figure can hold and is measured in cubic units. The volume tells us something about the capacity of a figure.
A prism is a solid figure that has two parallel congruent sides that are called bases that are connected by the lateral faces that are parallelograms. There are both rectangular and triangular prisms.
Answer : (a+b+c)h=
(4+4+5.7)3=41.1
Answer is 41.1
What is the surface area of the rectangular prism ? 15in 5in 4in
Answer: A=2(wl+hl+hw)
Step-by-step explanation:
W=15 L=5 H=4
A= 2((15*5)+(4*5)+(4*15))
A= 310
The surface area of a rectangular prism with dimensions 15in by 5in by 4in is calculated using the formula 2lw + 2lh + 2wh, resulting in a surface area of 310 square inches.
The question asks: What is the surface area of the rectangular prism with dimensions 15in, 5in, 4in?
To find the surface area of a rectangular prism, we use the formula: Surface Area = 2lw + 2lh + 2wh, where l represents length, w represents width, and h represents height.
Using the given dimensions:
Length (l) = 15in
Width (w) = 5in
Height (h) = 4in
We calculate the surface area as follows:
Surface Area = 2(15)(5) + 2(15)(4) + 2(5)(4)
Surface Area = 150 + 120 + 40
Surface Area = 310 square inches
Therefore, the surface area of the rectangular prism is 310 square inches.
Point M on line segment LN.Given MN=
2 and LM=
4. determine the length LN
The length of line segment LN is 6 units.
To determine the length of line segment LN, we can use the segment addition postulate, which states that if you have three collinear points A, B, and C, and point B is between A and C, then AB + BC = AC.
In this case, point M is between L and N. We're given that MN = 2 and LM = 4. So, we can set up the equation:
LM + MN = LN
Substitute the given values:
4 + 2 = LN
Now, calculate the sum:
6 = LN
So, the length of line segment LN is 6 units.
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Which of the following polynomials is a difference of squares? *
10 points
x^2+16
x^2+6x+9
x^2+5x+4
x^2-9
Answer:
x² - 9
Step-by-step explanation:
A difference of squares has the form
a² - b²
Thus
x² - 9
= x² - 3² ← is a difference of squares
How many different ways can 3 events be ordered?
Answer:
6
Step-by-step explanation:
Label them as variables
A, B, and C
Now try and list them
ABC
ACB
BAC
BCA
CAB
CBA
There should be 6
The more mathematical way is using factorials
So you would do 3! which is 3*2*1
This also gives you 6
Step-by-step explanation:
I kind of forgot but it should be 6
3!=6
for the first event there are three choices, then 2, then 1. You them multiply them all.
Im sorry if this made no sense lol, i will delete if people in the comments want to give a better explanation.
For a given recipe, 12 cups of flour are mixed with 18 cups of sugar. How many cups
of sugar should be used if 2 cups of flour are used?
Assuming a constant ratio, fill out the table of equivalent ratios until you have found
the value of x.
when the cups of flour increase from 5 to 15, the cups of sugar also increase from 10 to 30, maintaining the constant ratio of 1 : 2.
To find the number of cups of sugar needed when 15 cups of flour are used, let's first determine the constant ratio between cups of flour and cups of sugar.
Given:
- 5 cups of flour are mixed with 10 cups of sugar.
We can set up a ratio:
[tex]\[ \text{Cups of flour} : \text{Cups of sugar} = 5 : 10 \][/tex]
Now, let's simplify this ratio by dividing both parts by their greatest common divisor, which is 5:
[tex]\[ \frac{5}{5} : \frac{10}{5} = 1 : 2 \][/tex]
So, the constant ratio between cups of flour and cups of sugar is 1 : 2.
Now, to find out how many cups of sugar should be used if 15 cups of flour are used, we can use the constant ratio.
[tex]\[ \text{Cups of flour} : \text{Cups of sugar} = 15 : x \][/tex]
Since the ratio is constant, we can use the ratio 1 : 2 to set up a proportion:
[tex]\[ \frac{15}{1} = \frac{x}{2} \][/tex]
Now, let's solve for (x):
[tex]\[ 15 \times 2 = x \times 1 \]\[ 30 = x \][/tex]
So, if 15 cups of flour are used, we will need 30 cups of sugar.
We can also verify this using the constant ratio table:
Cups of flour Cups of sugar
5 10
15 30
As we can see, when the cups of flour increase from 5 to 15, the cups of sugar also increase from 10 to 30, maintaining the constant ratio of 1 : 2.
The probable question maybe:
For a given recipe, 5 cups of flour are mixed with 10 cups of sugar. How many cups of sugar should be used if 15 cups of flour are used? Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x.
Solve the system of equations below.
x + y = 8
3x + 2y = 21
answer:(x,y)=(5,3)
.
.
.
.
..
.
.plz mark as brainliest
Final answer:
The solution to the system of linear equations x + y = 8 and 3x + 2y = 21 is found using the elimination method, resulting in x = 5 and y = 3.
Explanation:
To solve the given system of equations:
x + y = 8
3x + 2y = 21
we can use either substitution or elimination method. For this instance, let's use the elimination method.
Multiply the first equation by 2 to match the coefficient of y in the second equation:
2(x + y) = 2(8)
2x + 2y = 16
Now, we have:
2x + 2y = 16
3x + 2y = 21
Subtract the second equation from the first:
(2x + 2y) - (3x + 2y) = 16 - 21
-x = -5
x = 5
Now that we have x, we can plug it back into the first equation:
x + y = 8
5 + y = 8
y = 8 - 5
y = 3
The solution to the system of equations is x = 5 and y = 3.
In your lab, a substance's temperature has been observed to follow the function T(x) = (x − 4)3 + 6. The turning point of the graph is where the substance changes from a liquid to a gas. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function. Hint: The turning point of the graph is similar to the vertex of a quadratic function.
Answer:Look below
Step-by-step explanation:
f(x) = x^3
g(x) = f(x-4) which shifts f(x) 4 units to the right
g(x) = (x-4)^3
h(x) = g(x) + 6 shift g(x) 6 units up
h(x) = (x-4)^3 + 6
The turning point of f(x) is at (0,0), then shift 4 units to the right and 6 units up, I got (4,6)
Pls help so lost thank you
Answer:
The answer is 43 degrees (plz mark branliest)
Step-by-step explanation:
All triangles must add up to 180 degrees
We have two other angles that are 92 and 45 degrees
If we subtract both of these measurements from 180 we will find x
92 + 45 = 137
180 - 137 = 43 degrees
Hope This Helps!
Express 1.3 x 0.4 as a percent.
Answer:52%
Step-by-step explanation:1.3x100=130% 0.4x100=40%
130%x40%=52% or 1.3x0.4=0.52 / 0.52x100=52%
A Gymnast burns 15 calories a minute is it proportional or nonproportional
Answer:
Proportional
Step-by-step explanation:
If she burns 15 per minute, the she will burn 30 in 2 min and 45 in 3 min, etc. Therefore it is proportional.
Find the value of each expression.
2h – 4 + 5 if h = 8
Answer:
2 times 8 is 16. 16 minus 4 is 12 plus 5 is 17. answer is 17.
Step-by-step explanation:
since h=8
The steps of the value of the expression:
2(8)-4+5
16-4+5
12+5
17
A paper company produces 3,860 notebooks in 4 days. How many notebooks can it produce in 12 days?
Answer:
Step-by-step explanation:11580
Answer:
11580 notebooks
Step-by-step explanation:
3860/4=965 notebooks per day
965x12=11580 notebooks in 12 days
A tree is 18.15 feet tall. What is its height in meters? Use the following conversion: 1 meter is 3.3 feet.
Answer:
The height is actually 5.5 Meters
Step-by-step explanation:
its simple division. Just divide 18.15÷3.3
The tree is 18.15 feet and your changing feet to meters.
It gives you the conversion.
1 meter is 3.3 Feet
Final answer:
To convert the height of the tree from feet to meters, divide the height in feet by the conversion factor of feet to meters (1meter= 3.3 feet). For this specific case, the tree is 18.15 feet tall, which is equivalent to 5.5 meters.
Explanation:
To convert the height of the tree from feet to meters:
Given: Tree height = 18.15 feet, Conversion factor: 1 meter = 3.3 feet
Calculate: Height in meters = 18.15 feet / 3.3 feet/meter
Height in meters = 5.5 meters
Rectangle QRST is similar to rectangle JKLM. The scale factor of rectangle JKLM to rectangle QRST is . The perimeter of rectangle QRST is 12 units, and the perimeter of rectangle JKLM is units. The area of rectangle QRST is units2, and the area of rectangle JKLM is 128 units2. If proportional dimensional changes are made to a figure, then the perimeter will change by the scale factor, and the area will change by the scale factor
The answers are shown below:
What is similarity?Similar polygons definitionOn the other hand, In Similar polygons, the corresponding angles are congruent, but the corresponding sides are proportional. So, similar polygons have the same shape, whereas their sizes are different. There would be certain uniform ratios in similar polygons.
Properties of similar polygonsThe corresponding angles are equal/congruent. (Both interior and exterior angles are the same)The ratio of the corresponding sides is the same for all sides. Hence, the perimeters are different.Similar QuadrilateralsQuadrilaterals are polygons that have four sides. The sum of the interior angles of a quadrilateral is 360 degrees. Two quadrilaterals are similar quadrilaterals when the three corresponding angles are the same( the fourth angles automatically become the same as the interior angle sum is 360 degrees), and two adjacent sides have equal ratios.
1. scale factor= 4 units
1. perimeter of rectangle JKLM is 48 units
2. Area= 8
4. same
5. square
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Explain how the exterior angle relates to the interior angles. A triangle has angles A, B, C. The exterior angle to angle C is angle D.
Answer:
The exterior angle, D, is supplementary to the adjacent interior angle, C. Together, they form a straight line, measuring 180°. The measure of the remote interior angles, A and B are equal to the measure of the exterior angle D.
Step-by-step explanation: I just did the assignment
To solve such problems we need to know about supplementary angles.
Supplementary AngleWhen the sum of two angles measures up to 180° then these angles are known as supplementary angles of each other.
for example, ∠x + ∠y = 180°, therefore, the ∠x and ∠y are the supplementary angles of each other.
The exterior angle to ∠C is ∠D, which is the supplementary angle to ∠c and also, to the sum of ∠A and ∠B.
ExplanationGiven information:
A triangle has angles A, B, C. The exterior angle to angle C is angle D.
We know,
Supplementary angles are those two angles whose sum measures up to 180°.
These angles are when adjacent to each other, they form a straight line.
In ΔABC,∠C and ∠D form a line BE.
therefore, the ∠C and ∠D are supplementary angles for each other, and
∠C + ∠D = 180°.
∠C = 180° - ∠D
Also, we know that the sum of all angles of a triangle is 180°.
So, ∠A + ∠B + ∠C = 180°
Substituting the value of ∠C,
∠A + ∠B + (180° - ∠D) = 180°
Canceling 180° from both sides,
∠A + ∠B + 180° - ∠D = 180°
∠A + ∠B - ∠D = 0
∠A + ∠B = ∠D
Hence, the exterior angle to ∠C is ∠D, which is the supplementary angle to ∠c and also, to the sum of ∠A and ∠B.
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Given the width of the lawnmower is 2.2 feet and the length of the rope is 22 feet calculate the radius of the pole that will produce a perfect lawn
Answer:
0.35 ft
Step-by-step explanation:
We assume that the lawnmower is mowing a spiral around the pole and that each turn increases the radius by 2.2 feet. That is, each turn around the pole captures (or releases) 2.2 feet of rope, so that is the circumference of the pole.
C = 2πr
2.2 ft = 2(22/7) r
(2.2 ft)(7/44) = r = 0.35 ft
The radius of the pole needs to be about 0.35 feet, or 4.2 inches.
_____
We assume that the lawnmower width is a multiple of 22 because we are intended to use 22/7 as our approximation of pi. A more accurate value of pi would give a radius of 0.35014 feet, about 4.202 inches.
emily decided to take up Weightlifting she thought it would be
good practice to double the weight each day while training she started with 12
Lb.on the first day what is her common ratio
Answer:
Common Ratio = 2
Step-by-step explanation:
Emily started with 12 lb at start.
She will double each day
So,
2nd day she will take up weight = 12 * 2 = 24
3rd day she will take up weight = 24 * 2 = 48
and so on
This is a geometric sequence, which is a sequence where each term is found by multiplying the previous term by a constant which is known as the common ratio.
Here, we are multiplying by "2" to get the next term, so we an say the common ratio is "2".
Answer: Common Ratio = 2
A student uses 3.14 for π to calculate the approximate circumference of a circle, 150.72 meters. Given this, find the approximate area of the circle. Use 3.14 for π.
Answer:
area of a circle = 1808.64meters²
Step-by-step explanation:
given that ,
π = 3.14
circumference = 150.72meters
calculate the area of the circle.
to calculate the circumference of a circle
recall,
circumference of a circle = 2πr
circumference of a circle = 2 x 3.14 x r
circumference of a circle = 6.28r
150.72meteras = 6.28r
divide both sides by 6.26
150.72meters/6.28 = 6.28r/6.28
24meters = radius
radius = 24 meters
now to calculate the area of the circle
recall the formulae for finding the area of a circle is given to be = πr²
area of a circle = πr²
area of a circle = 3.14 x ( 24)²
area of a circle = 3.14 x 576meters²
area of a circle = 1808.64meters²
A scientist conducted an experiment. Due to chemical reaction, the temperature of a compound rose 1/10 degree every 1/4 hour for a limited time. What was the rate , in degrees per hour that the temperature of the compound rose.
Answer:
The rate is [tex]\frac{2}{5}[/tex] degree per hour.
Step-by-step explanation:
Given : A scientist conducted an experiment. Due to chemical reaction, the temperature of a compound rose [tex]\frac{1}{10}[/tex] degree every [tex]\frac{1}{4}[/tex] hour for a limited time.
To find : What was the rate, in degrees per hour that the temperature of the compound rose ?
Solution :
In every [tex]\frac{1}{4}[/tex] hour the temperature of a compound rose [tex]\frac{1}{10}[/tex] degree
To get the rate, in degrees per hour,
In every 1 hour the temperature of a compound rose is
[tex]r=\dfrac{\frac{1}{10}}{\frac{1}{4}}[/tex] degree
[tex]r=\dfrac{4}{10}[/tex] degree/hr
[tex]r=\dfrac{2}{5}[/tex] degree/hr
Therefore, the rate is [tex]\frac{2}{5}[/tex] degree per hour.
a gain of 180 feet is what?
Answer:
+180
Step-by-step explanation:
A mountain road rises 10ft for a 494 foot run. What is its slope?
The slope of a mountain road with a 10-foot rise for a 494-foot run is found by dividing the rise by the run, resulting in a slope of approximately 0.0202 or 1/49.4, which is a dimensionless ratio.
Explanation:The student's question involves finding the slope of a mountain road, which is a concept in mathematics. Slope is calculated as 'rise over run', where the 'rise' refers to the change in height and the 'run' refers to the horizontal distance covered. In this instance, the rise is 10 feet and the run is 494 feet.
To calculate the slope of the mountain road, you divide the rise by the run:
Slope = Rise ÷ Run
We substitute the given values:
Slope = 10 ft ÷ 494 ft
The slope is therefore equal to approximately 0.0202 or 1/49.4. In mathematics, slope is dimensionless; it is just the ratio of the rise to the run and does not carry any units.
5. Gina bought 8 bags of 32 animal
crackers and 8 bags of 48 animal
crackers. She says she bought
8 X (32 + 48) animal crackers in all.
Do you agree? Explain.
Answer:
Yes I agree, because 32 times 8 plus 48 times 8 equals 8x(32+48)
Step-by-step explanation: