When Betsy Ross sewed the first American flag, the flag had an area of 27 square feet. If the base of the flag was 9 feet, what was the height of the flag?
Answer:
The height of the flag was 3 feet.
Step-by-step explanation:
To solve this problem, we must first recall the formula for area of a rectangle to be:
Area = base * height
Next, we can substitute in the values that we were given in the problem. We were told that the area was 27 square feet and the base was 9 feet.
27 = 9 * height
Now we can treat this equation that we have created similar to any other equation we would like to solve. We must solve for the unknown, or the variable, which in this case is the height. To do this, we should divide both sides by 9 to get the "height" variable by itself on the right side of the equation. This is modeled below:
27/9 = (9 * height)/9
3 = height
Therefore, the height of the flag was 3 feet.
Hope this helps!
Answer:
The height is 3,
Step-by-step explanation:
First up, if we know the B in the B*H=A formula, we can divide the area by the base (27/9) and get the height, 3.
I too am learning this. The thing is you want to do a reverse order. For example, 2*3=6; so automatically we would know that 6/3=2.
Hope this has helped!
:)
Write the linear inequality which is shown by the graph
Answer:
B. y > -3
Step-by-step explanation:
We see that the line is dotted, so we can remove C and D as answer choices. Since our line is horizontal, our best answer is B.
Section 3 - Question 22
a represents a rational number, and b represents an irrational number.
Which of the following are TRUE? Select all that apply
A a? will be rational
B.
a + b is always irrational
с
a + b is sometimes rational
D
ab is always irrational
E
ab is sometimes rational
Answer:
E
Step-by-step explanation:
ab is sometimes rational
Determine the values of x in the equation x2 = 64.
What is the answer
10(4 - 3i) =
Answer:
40-30i
Step-by-step explanation:
Use distributive property.
Answer:
40-30iStep-by-step explanation:
10x4–10x3i 40–10x3i 40–30ians: 40–30i
if a ferris wheel at the fair has a radius of 18 ft how far will you travel after 8 trips around the ferris wheel
Help!! Factor the common factor out of each expression
Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).
What is the equation?A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.
Here,
the two numbers' primary factors are as follows:
-25\(b^{2}\) + 15b
Common prime factors can be multiplied to determine the GCF:
=> -25\(b^{2}\) = -(5)(5) * \(b^{2}\)
=> 15b = (5)(3)b
The expression can be factored in the following fashion because the GCF is 5b:
=> -(5)(5) * \(b^{2}\) + (5)(3)b
=> (5b)(-5b+3)
Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).
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A one-way trolley ticket to Old Town costs 3.50. How much will it cost for Ahyeon and three friends to ride to Old Town and home again?
Answer:
$28
Step-by-step explanation:
Each round trip will be double the price of a one-way trip, so will be ...
2 × $3.50 = $7.00
Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...
4 × $7.00 = $28.00
The three inside angles (A, B and C) of a right angled triangle are in the ratio 7:18:11
The smallest angle is 35°
Work out out angles a,b and ,
Answer:
Angle A =35 degrees, Angle B = 90 degrees, and Angle C = 55 degrees
Step-by-step explanation:
So all the angles added up would be 180. Let's use the variable x. The angles would be 7x, 18x, and 11x.
The smallest angle is 35, and 7x is the smallest out of all them since x has to be positive.
7x = 35
x = 5
Then substitute x into each angle.
They would be 35 degrees, 90 degrees, and 55 degrees
(40 points please explain your answer)
If triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees, where will point A' lie?
(−1, 2)
(−2, 1)
(1, −2)
(2, −1)
A is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees
A' is (-2,1)
Given :
A triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees.
The rule for reflection over y axis
(x,y) -> (-x,y)
Reflection over x axis is
(x,y) -> (x,-y)
Rotate by 180 degree
(x,y)->(-x,-y)
The point A lies on (-2,1)
Lets find the coordinate of point after reflection over y axis, x axis and rotation by 180 degree using the rules
Reflection over y axis
(-2,1) -> (2,1)
Reflection over y axis
(2,1)-> (2,-1)
Rotate by 180 degrees
(2,-1)-> (-2,1)
So A' is (-2,1)
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64 players started how many left after 3 rounds
Answer: 8
Step-by-step explanation:
I do not understand the question. But if my interpretation is correct, then:
If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.
use the GCF and the distributive property to express the sum of the product 45+15
Answer:
15*(3 + 1)
Step-by-step explanation:
Greatest Common Factor (GCF) and Distributive Property
To find the GCF of two quantities, we find their prime factors:
45 = 3 * 3 * 5
15 = 3 * 5
We take the common factors 3*5=15. The GCF is 15.
We want to rewrite the expression
\(45+15\)
That is equivalent to
\(15*3+15\)
Note we used the GCF in each term. Now we use the distributive property to factor the 15 out of the expression:
\(\boxed{15*(3 + 1)}\)
Of course, it can be further simplified and operated, but we have rewritten the expression as required.
Answer:
15 (3+1)
Step-by-step explanation:
I got it right
6(s-9) simplify the expression
Answer:
6s−54
Step-by-step explanation:
Use the distributive property to multiply 6 by s−9. i hope this helps
In general, how is the graph of g(x) = | \(x - h\) | + \(k\) related to the graph of f(x) = | x |? GIVING BRAINLIEST!!
Answer:
The graph of g(x) = |x - h| + k is a translation of h units horizontally and k units vertically of the graph of f(x) = | x |.
Hope this helps.
Answer:
H units horizontally, k units vertically
Step-by-step explanation:
please help
there are 2 possible answers
Let x be the number of boys in a class and y be the number of girls. Which equation represents 2 boys for
every 5 girls? Select all that apply.
Answer:
this is not an answer but I will post one, could you tell us what the answer choices are?
Step-by-step explanation:
it would help with the answers.
How do you solve 2x-3y=-4 and x=7-3y by substitution?
Answer:
\((1, 2)\)
Step-by-step explanation:
We can solve this system using substitution.
In this case, we can substitute 7-3y for x, as they are of equal value.
Therefore...
\(2x-3y=-4\\2(7-3y)-3y=-4\\14-6y-3y=-4\\14-9y=-4\)
Subtract 14 from both sides:
\(-9y=-18\)
Divide both sides by -9
\(y=2\)
Now, substitute 2 for y to solve for x:
\(x=7-3y=7-3(2)=7-6=1\)
Therefore the solution to this system of equations is:
\((x, y)=(1, 2)\)
A robot can complete 7 tasks in 2/5 hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?
a) The robot take 2 / 35 hour to complete one task.
b) The robot complete 35/2 tasks in one hour.
What is mean by Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Or, A number which is expressed as a quotient is called fraction.
It can be written as the form of p : q, which is equivalent to p / q.
Given that;
A robot can complete 7 tasks in 2/5 hour.
Each task takes the same amount of time.
Now,
Since, 7 tasks = 2/5 hour
So, 1 tasks = 2 / 5×7
= 2 / 35 hour
Thus, The robot take 2 / 35 hour to complete one task.
And, 2/5 hour = 7 tasks
So, 1 hour = 7 x 5 / 2
= 35 / 2
Thus, The robot complete 35/2 tasks in one hour.
Therefore,
a) The robot take 2 / 35 hour to complete one task.
b) The robot complete 35/2 tasks in one hour.
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Is 1.05 greater than or less than 1.3
The larger number is obtained as 1.3.
What is a Decimal number?A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.
The given decimal numbers are 1.05 and 1.3.
The decimal 1.3 can be written as 1.30.
Now, the two decimals can be compared as below,
1.05 and 1.30
Both the decimals have equal integer part.
Digit at tenths of 1.05 is 0 and for 1.30 is 3.
Since, 3 > 0.
⇒ 1.30 > 1.05
Hence, 1.3 is greater than 1.05.
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Which problem solving strategy would be best to solve this problem?
Brandon went to the store and spent $2.50 on pencils. He spent half of what he had left on a notebook and paper. When he got home he had $5.00 left. How much money did Brandon have before going to the store?
Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.
Step-by-step explanation: Formula and Solving it
He Spent $2.50 on pencils.
Amount left after buying a pencil = x - 2.50
Next, he spent half of the amount left in his pocket.
He spent (x - 2.50)/2 on notebook and paper.
So the total amount he spent = 2.50 + (x -2.50)/2
Amount left when he got home =$ 5.00
That means, x - Total amount spent = 5
=> x - (2.50 + (x -2.50)/2 ) = 5
=> x - 2.50 -x/2 + 2.50/2 = 5
=> x/2 - 2.50/2 = 5
=> x/2 = 5 + 2.50/2
=> x/2 = 6.25
=>x = $12.5
How many faces does the solid made from the net below have?
There are 5 triangles and 1 pentagon for a total of 6
The answer is 6
8-1 1/5
(Simplify your answer. Type a whole number, fraction, or a mixed number.)
orrect:
Answer:
34/5, 6 4/5
Step-by-step explanation:
1 1/5 = 6/5
8-6/5 = 40/5 - 6/5 = 34/5
Find the greatest common factor of 10b³ and 4b.
Solution:
2b would be the greatest common factor (GCF) between both 10b^3 and 4b.
Hope this helps!
Nine people were asked, "How many times have you been on an airplane?" Their responses are listed below. 6,9,1,19,1,6,8,1 find the range and the mode for the data
pleaseeee helpppp
Step-by-step explanation: Range is where you put the numbers from greatest to least, I believe you can also do least to greatest. Mode is whenever you have your numbers in order form greatest to least the number that shows up the most is the mode. HOPE THIS HELPED !!!
What is the distance between the points (9.0) and (0,5) on the coordinate plane?
( x 1 , y 1 ) = ( 9,0 )
( x 2 , y 2 ) = ( 0, 5 )
Distance between the points:
d^2 = ( x2 - x1 ) ^2 + ( y2 - y1 ) ^2
= ( 0 - 9 ) ^2 + ( 5 - 0 )^2
= 81 + 25
= 106
square root both sides, we have:
d = 10 . 296
d = 10. 3 units ( 1 decimal place)
The formula for the volume of a right circular cylinder is
V = 72h. If r = 26 and h = 5b + 3, what is the
volume of the cylinder in terms of b?
Answer:
20b^3+12b^2
Step-by-step explanation:
v=(2b)^2 (5b+3) = 4b^2 (5b+3) = 20b3+12b^2
Arun wants to make a model of a cone with paper whose diameter is 6cm and slant height
is 7cm. Then he covered the cone with a lid (circular shape). How much paper is required to
make the model.
The amount of paper required to make the model is 94.2 square cm
How to determine the amount of paper required to make the model?The given parameters in the question are
Slant height = 7 cm
Diameter = 6 cm
This means that
Radius = Diameter/2 = 6 cm/2
So, we have
Radius = 3 cm
The amount of paper required to make the model is then calculated as
A = πr(r + l)
So, we have
A = 3.14 * 3 * (3 + 7)
Evaluate
A = 94.2
Hence, the amount needed is 94.2 square cm
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-2n - 5 = 17 what does n=
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-2n-5=17 Equation/Question
Step 2
-2n-5=17 Simplify
-2n-5=17
Step 3
-2n-5=17 subtract 5
-2n=-22
Step 4
-2n=-22 Divide
answer
n=-11
Hope this helps
there are 25 student in a class. five of then scored A and 10 of them score B while the other scored C for Biostatistics. if a student is selected at random, calculate the probability that the selected student scored A or B in biostastics.
There is a 60% probability that a randomly selected student from the class scored either an A or B in Biostatistics.
To calculate the probability that a randomly selected student scored either an A or B in Biostatistics, we need to consider the number of students who scored A and B and divide it by the total number of students in the class.
Given that there are 25 students in the class, 5 of them scored an A and 10 scored a B. To calculate the probability, we add the number of students who scored A (5) to the number of students who scored B (10):
Number of students who scored A or B = Number of students who scored A + Number of students who scored B = 5 + 10 = 15.
Therefore, the probability that a randomly selected student scored A or B
in Biostatistics is:
Probability = Number of students who scored A or B / Total number of students = 15 / 25 = 0.6 or 60%.
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Evaluate the expression: −(8 − 12) + 60 + (−4)2.
Answer: 80
Step-by-step explanation:
⇒ −(8 − 12) + 60 + (−4)²
⇒ -(-4) + 60 + 16
⇒ 4 + 60 + 16
⇒ 80
measurement 6 is 126
find measurement 1 and 4
Step-by-step explanation:
just stop wasting ur pionts