Answer:
Equal Areas
Step-by-step explanation:
Area of a Rectangle =Base X Height
Area of a Parallelogram =Base X Height
If the rectangle and a parallelogram have the same base and the same height, then their areas are equal.
Take for an example,
A rectangle with a base of 5 cm and a height of 6cm
Area of the Rectangle =5*6=30 Square Centimeters.For a parallelogram with same base and height
Area of the parallelogram =5*6=30 Square Centimeters,
Final answer:
A rectangle and a parallelogram with the same base and height have equal areas as both can be calculated using the formula Base x Height = Area, disregarding the shape's orientation.
Explanation:
A rectangle and a parallelogram with the same base and height will have the same area. This is because the area of both shapes can be calculated by multiplying their base by their height. For the rectangle, this is straightforward as the height is perpendicular to the base. In the case of a parallelogram, the height is also considered perpendicular to the base, but it might be oriented at an angle relative to the base's length. Despite these differences in shape orientation, the calculation Base x Height = Area still applies, resulting in equal areas if the base and height measurements are the same.
i'll give you 200 points if you answer me this , Carly makes a table to show the relationship between meters, centimeters, and millimeters. Use the rule "add 100" to complete the column for the number of centimeters. Then, use the rule "add 1,000" to complete the column for the number of millimeters. How many centimeters are in 10 meters? How many millimeters are in 10 meters?
Answer:
cm=1500
mm= 15000
hope it helps if you needed help ._.
Step-by-step explanation:
Answer:
1,000 centimeters are in a meter and 10,000 millimeters are in a meter.
Step-by-step explanation:
10 x 100=1,000
1000 divided by 100=10
10 x 1000=10,000
10,000 divided by 1,000=10
If 75 people attend a concert and tickets for adults cost $2.75 while tickets for children cost $2.25 and
total receipts for the concert was $188.25, how many of each went to the concert?
There were
adults and
children that attended the concert.
Answer:
Adult = 39
Children = 36
Step-by-step explanation:
The total number of people = 75
Cost of adult ticket = $2.75
Cost of children ticket = $2.25
Total receipts = $188.25
Let the number of adult = x
Let the number of children = y
X + y = 75 ......equation (i)
(X × 2.75) + (y × 2.25) = 188.25
2.75x + 2.25y = 188.25.......equation (ii)
To find the numbe of adult and children that attended, we'll have to solve equation (i) and (ii) simultaneously.
From equation 1,
X + y = 75
X = 75 - y......equation(iii)
Put equation (iii) into equation (ii)
2.75*(75 - y) + 2.25y = 188.25
206.25 - 2.75y + 2.25y = 188.25
206.25 - 0.5y = 188.25
Collect liketerms
0.5y = 206.25 - 188.25
0.5y = 18
Y = 18 / 0.5
Y = 36
Put y = 36 into equation (i)
X + 36 = 75
X = 39
Therefore the number of adult is 39 while that of children is 36.
A picture is 5 inches wide and 8 inches tall.
A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged?
40 in²
250 in²
100 in²
81.9 in²
Answer:
[tex]\large\boxed{\tt Area=250in.^{2}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked for the area of a Dilated Rectangle.}[/tex]
[tex]\textsf{We are given the dimensions, 5 inches wide and 8 inches in length. Then, we are}[/tex]
[tex]\textsf{given a \underline{Scale Factor}.}[/tex]
[tex]\large\underline{\textsf{What is a Scale Factor?}}[/tex]
[tex]\textsf{A Scale Factor is a term that represents how large the next shape will be. Note}[/tex]
[tex]\textsf{that only sides of a shape are affected by the Scale Factor. Angles, and the form}[/tex]
[tex]\textsf{of the shape remain the same.}[/tex]
[tex]\underline{\textsf{Example;}}[/tex]
[tex]\textsf{We are given a rectangle with 5 cm. as the length, and 6 cm. as the width.}[/tex]
[tex]\textsf{The Scale Factor is 2.}[/tex]
[tex]\textsf{We will multiply the dimensions of the triangle by 2, then find the area.}[/tex]
[tex]\large\boxed{\tt Area = Length \times Width}[/tex]
[tex]\tt Area=(5 \times 2) \times (6 \times 2)[/tex]
[tex]\tt Area=10 \times 12[/tex]
[tex]\large\boxed{\tt Area=120cm^{2}}[/tex]
[tex]\large\underline{\textsf{For our problem;}}[/tex]
[tex]\textsf{We should start solving for the dilated area after multiplying the dimensions by}[/tex]
[tex]\textsf{the Scale Factor.}[/tex]
[tex]\textsf{Remember That You Should Not Multiply The Scale Factor By The Area.}[/tex]
[tex]\large\underline{\textsf{Solving;}}[/tex]
[tex]\textsf{Multiply the dimensions by the Scale Factor.}[/tex]
[tex]\tt Area=(5 \times 2.5) \times (8 \times 2.5)[/tex]
[tex]\underline{\textsf{This will evaluate to;}}[/tex]
[tex]\tt Area=12.5 \times 20[/tex]
[tex]\large\boxed{\tt Area=250in.^{2}}[/tex]
The area of the picture after being enlarged by a scale factor of 2.5 will be 250 square inches, which is determined by multiplying the new dimensions (12.5 inches by 20 inches). The correct answer is option b) 250 in².
To find the new area of the picture after enlargement, we use the scale factor. First, we find the original area of the picture by multiplying the width by the height: 5 inches * 8 inches = 40 [tex]in^2[/tex]. The photographer wants to enlarge the picture by a scale factor of 2.5. This means that both the width and the height of the picture will be multiplied by 2.5.
So the new width will be 5 inches * 2.5 = 12.5 inches and the new height will be 8 inches * 2.5 = 20 inches. Now we can calculate the enlarged picture's area:
12.5 inches * 20 inches = 250 [tex]in^2[/tex]. Therefore, the area of the picture after enlargement will be 250 square inches, which corresponds to option (b).
Find the number if 6% of it is 20% of 6
thanks plz help!!!
Answer:
20.
Step-by-step explanation:
We can begin by calculating 20% of 6:
0.2 × 6= 1.2
If 1.2 is 6% of the number, we can set up an equation like this:
0.06x = 1.2
Now, divide on both sides, giving us:
x= 20.
The table shows the results of a survey of college students. Find the probability that a student’s first class of the day is a humanities class, given the student is male. Round to the nearest thousandth.
Male Female
Humanities 70 80
Science 50 80
Other 60 70
A. 0.171
B. 0.467
C. 0.269
D. 0.389
Answer:D. 0.039
Step-by-step explanation:
The probability that a student is taking a humanities class, given the student is male, is 0.389 option (D) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
We have the total number of male students = 70+50+60 = 180
So, the total number of outcomes = 180
Total number of male students who take humanities class = 70
Now, the probability = 70/180 = 0.388 ≈ 0.389
Thus, the probability that a student is taking a humanities class, given the student is male, is 0.389 option (D) is correct.
Learn more about the probability here:
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If the determinant of this matrix is 24, what is the value of b?
[tex]\left[\begin{array}{ccc}-5&4&1\\5&-7&-4\\-6&b&6\end{array}\right][/tex]
Answer:
Step-by-step explanation:
Answer is B. 8
The value of b such that the determinant is 24 will be 8.
What is the matrix?matrix, a collection of numbers lined up in rows and columns to produce a rectangular array. The elements of the matrix, also known as the entry, are the numerals.
Matrix applications are crucial in many fields, including computer graphics, where they have been used to explain image transformations and other adjustments.
Given the matrix,
Its determinant will be
-5( -42 + 4b ) - 4(30 - 24 ) + 1(5b - 42 ) = 24
-15b + 144 = 24
15b = 120
b = 8
Hence the value of b will be 8.
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Lin’s family has completed 60% of a trip. They have traveled 30 miles. How long is the whole trip?
Answer:
50 miles
Step-by-step explanation:
60 divided by 30 = 5
5 miles = 10% of the trip
40% of the trip left to go
40% = 20 miles (5 x 4)
30 + 20 = 50
hope this helps!
To find the length of the whole trip, set up a proportion using the given information and solve for the missing variable. The whole trip is approximately 50 miles long.
Explanation:To find the length of the whole trip, we can set up a proportion using the information given. We know that 60% of the trip is equivalent to 30 miles. We can set up the proportion:
60% / 100% = 30 miles / x
By cross-multiplying, we get:
x = (30 miles * 100%) / 60%
Calculating this, we find that the whole trip is approximately 50 miles long.
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Joshua has a ladder that is 15 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 14.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 70°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer.
Joshua's 15 ft ladder, if leaned against the wall to reach a height of 14.8 ft, would be at an unsafe angle less than 70° and thus, is not safe to use in this manner.
Explanation:The student has asked whether Joshua's ladder, which is 15 feet long and is supposed to lean against a wall with the top at 14.8 feet above the ground, will be safe with an angle no greater than 70°. To determine this, we can use the trigonometric function cosine, which relates the adjacent side (the height at which the top of the ladder reaches the wall) to the hypotenuse (the length of the ladder) in a right-angled triangle. The cosine of the maximum safe angle (70°) should therefore be equal to or greater than the ratio of the height of the ladder against the wall (14.8 feet) to the length of the ladder (15 feet).
We calculate the cosine of 70°: cos(70°) ≈ 0.342. Then we calculate the ratio 14.8/15 which equals 0.9867. Since 0.9867 is much greater than 0.342, it means the ladder will form an angle that is less than 70°, which is not within the safe range as per Joshua's requirement.
Therefore, it is not safe for Joshua to lean the ladder in this manner because the angle formed will be steeper than the maximum safe angle of 70°, which may result in the ladder slipping.
WILL GIVE BRAINLIST IF ANSWERS QUICKLY!
Select the decimal that is equivalent to 44/11 . Choose 1 answer: (Choice A) 0.17 (Choice B) 0.\overline{17}0. 17 0, point, start overline, 17, end overline (Choice C) C 0.250.250, point, 25 (Choice D) D 0.2\overline{5}0.2 5 0, point, 2, start overline, 5, end overline (Choice E) E None of the above Stuck?Watch a video or use a hint.
Answer:
choice a is the answer
0.17
Step-by-step explanation:
Answer:
.25
Step-by-step explanation:
.25 is the only one that is equivalent to 11/44
hope this helps ^‿^
please please please help
Answer:
The first one is (0.5,1)
second is (1.5,1)
Step-by-step explanation:
I will edit this for the second one sec
What is the solution to the equation m/m+4 + 4/4-m = m^2/m^2-16 ?
Answer:
m= -2
Step-by-step explanation:
The solution is m = -2
Step-by-step explanation:
The given rational equation is
We'll simplify the left hand side first.
The LCD is (m+4)(4-m)
Hence, multiply and divide the first term by 4-m and second by m +4
Use the difference of squares rule
We can now add the numerator
On simplifying, we get
Add the like terms
Multiply and divide left hand side by -1
We can cancel the denominator
Divide both sides by 8
The solution is m = -2
Need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
It is 4 years
hope this helped and plz follow me!!
Find the equation of the line parallel to x + y = 7 and through the point (-3,2). Write your answer in slope-intercept form.
Answer:
r:x+y=7 P0 (-3,2)
r// y=x
y-y0=m0(x-x0)
y-2=1(x+3)
y-2=x+3
y=x+5
Luna packed two chocolate bars for the trip.One s’more uses 1/12 of a bar. How should we complete model
The days will the chocolate last is A) More than 12 days . Therefore A) More than 12 days is correct .
One chocolate bar lasts for 12 days because 1 / (1/12) = 12
Two chocolate bars last for 24 days because 12 * 2 = 24
So, even if Luna has one s'more a day, the chocolate will last for more than 12 days.
The other options are not as likely:
Option (B) is less likely because two chocolate bars would still last for more than a day, even if she had one s'more a day.
Option (C) is possible, but it's less likely than option (A) because two chocolate bars would provide more than 12 s'mores worth of chocolate.
Therefore, the answer is A) More than 12 days.
Question
Luna packed two chocolate bars for the trip. One s'more uses 1/12 of a bar. If she has one s'more a day, about how many days will the chocolate last?
A) More than 12 days
B) Less than 1 day
C) Between 1 and 12 days
2(-6n+5)=4n+2(1-6n)
I need the answer
Answer:
n = 2
Step-by-step explanation:
2 (-6n + 5) = 4n + 2(1 - 6n)-12n + 10 = 4n + 2 - 12n4n = 8n = 2PLEASE ANSWER RN!! Which statement can be represented by the equation Two-fifths x + 9 = 9? Two-fifths of nine is a number. Two-fifths of a number is nine. Nine more than two-fifths of a number is nine. A number plus nine is the same as two-fifths of nine.
Answer:
Step-by-step explanation:
(2/5)x + 9 = 9 is equivalent to (2/5)x = 0
"Nine more than two-fifths of a number is nine" is correct.
Answer:
Nine more than two-fifths of a number is nine
Step-by-step explanation:
When a certain ball is dropped, the function f(x)=4.5(0.65)^x models it’s height in feet after each bounce, where x is The bounce number. To the nearest hundredth, what is the height after the third bounce?
Answer:
8.555625.
Step-by-step explanation:
Um, well...
4.5(0.65) is 2.925.
Then from there it is 2.925^x is 8.555625.
What is this value???????
Answer:
[tex] - 6 {( - 2)}^{ - 3} {4}^{2} = \frac{ - 6(16)}{ - 8} = \frac{ - 96}{ - 8} = 12[/tex]
The correct answer is B.
At which root does the graph of f(x) = (x+4)6(x + 7)5 cross the x axis?
Answer:
x = -7
Step-by-step explanation:
Our function is [tex]f(x) =(x+4)^6(x+7)^5[/tex]. Notice that our possible roots are when x + 4 = 0 and when x + 7 = 0. So, our roots are -4 and -7.
However, the power above x + 4 is even, meaning the graph will simply touch the x-axis at x = -4, but not pass through. The power above x + 7, though, is odd, which means the graph will cross the x-axis.
Thus, the answer is x = -7.
Answer:
x = -7
Step-by-step explanation:
f(x) = (x+4)⁶(x + 7)⁵
The roots are when f(x) = 0
(x+4)⁶ = 0
x = -4 (multiplicity 6)
(x+7)⁵ = 0
x = -7 (multiplicity 5)
The graph is tangential to the x-axis on roots with even multiplicity, crosses tge x-axis at roots with odd multiplicity
This graph cuts/crosses the x-axis at x = -7
1. Find the equation of the line that has a slope of 10 and a y-intercept of 15.
Use form y=mx+b
Answer:
y = 10x + 15
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = 10 and b = 15, thus
y = 10x + 15
select the one answer. 2x+3x3
Answer:
2 times x plus 3 times x cubed.
Step-by-step explanation:
2x = 2 * x = two times (multiplied) by x.
+ = plus.
3x^3 = 3 * x^3 = three times (multiplied) by x cubed.
~
i need helpp will give brainliesst!!!
Answer:
C) 7c+6s-63
Step-by-step explanation:
set up this equation because you are adding the two expressions
[tex]7c-18+6s-45[/tex]
combine like terms
[tex]7c+6s-63[/tex]
Kamden is a mind-reading alien. He had each friend draw and look at a card, then he guessed whether the card had a star on it.
This question is about Kamden, a mind-reading alien, guessing whether cards have a star on them using probability and counting.
Explanation:The subject of this question is Mathematics. Kamden, a mind-reading alien, has each of his friends draw and look at a card, and he tries to guess whether the card has a star on it.
This task involves probability and counting. If there are a total of 'n' cards and 'm' of them have a star on them, the probability of Kamden guessing correctly is m/n.
For example, if there are 10 cards and 3 of them have a star, the probability of Kamden guessing correctly is 3/10 or 30%.
The math question is attached below.
Answer: 2700π
Step-by-step explanation: You've already answered part of the question. I used your info of the small circle(900π) and subtracted it from the big circle(3600π) and got 2700π
The function f(x)=x^2 -6x+3 is transformed such that g(x)=f(x-2). Find the vertex of g(x).
(5,6)
(5,-8)
(1,-6)
(3,-8)
Answer:
[tex] g(x) = (x-2)^2 -6(x-2) +3[/tex]
[tex] g(x) = x^2 -4x +4 -6x +12 +3[/tex]
[tex] g(x) = x^2 -10 x +19[/tex]
[tex] g(x) = x^2 -10 x + 25 +19 -25[/tex]
[tex] g(x) = (x-5)^2 -6[/tex]
[tex] y= (x-h)^2 -kk[/tex]
Where h,k represent the vertex and we got:
[tex] (h,k)= (5,6)[/tex]
(5,6)
Step-by-step explanation:
We have this original function given :
[tex] f(x) = x^2 -6x +3[/tex]
And we want to find the vertex for this new function [tex] g(x) = f(x-2)[/tex] and we have:
[tex] g(x) = (x-2)^2 -6(x-2) +3[/tex]
And solving the square we got:
[tex] g(x) = x^2 -4x +4 -6x +12 +3[/tex]
And adding similar terms we got:
[tex] g(x) = x^2 -10 x +19[/tex]
Now we can complete the square like this:
[tex] g(x) = x^2 -10 x + 25 +19 -25[/tex]
[tex] g(x) = (x-5)^2 -6[/tex]
The general equation is given by:
[tex] y= (x-h)^2 -kk[/tex]
Where h,k represent the vertex and we got:
[tex] (h,k)= (5,6)[/tex]
(5,6)
Alex paid a total of $530 for t tickets to a concert. How much did each ticket cost?
Answer:
$530/T
Step-by-step explanation:
I will upvote and give brainliest answer
Answer:
3.4
Step-by-step explanation:
Answer:
0<x<8.7
Step-by-step explanation:
for it to be a triangle, sum of two sides must be greater than the largest side.
so, if x is 8.4 or greater, it can't be a triangle since it is greater than the sum of 3.2 and 5.5
a side must be greater than 0
so , 0<x<8.7
Express 19/11
as a mixed number.
Answer:
1 8/11
Step-by-step explanation:
19/11
11 goes into 19 one time with 8 left over
put the 8 over the denominator
1 8/11
1 8/11
is the correct answer.
What is the positive solution to this equation?
4x2 + 12x = 135
Please Help!!! Braniest!!!!
What is the converse of a theorem?
A. A statement that is given
B. A statement that cannot be proven
C. A statement that is proved by two different theorems
D. A statement formed by transposing what is to be proved by a theorem and what is given
The converse of a theorem is created by reversing the hypothesis and the conclusion of the theorem's statement. The correct multiple-choice answer is 'D. A statement formed by transposing what is to be proved by a theorem and what is given.'
The converse of a theorem is a logical statement where the elements of the theorem's statement are switched. If you have a theorem that states "If A, then B," the converse of that theorem would be "If B, then A." This essentially transposes the hypothesis and the conclusion. In the context of the multiple-choice options provided, the correct answer is D.
A statement formed by transposing what is to be proved by a theorem and what is given. It's important to note that even though a theorem is proven true, its converse is not necessarily true and must be proven separately if it is to be accepted as true.