In a trapezoid, the length of one base is equal to its height and the length of the other base is twice its height. If the height is 10 centimeters, what is the area of the trapezoid?
Explain how you found your answer.
Enter the correct answers in the boxes.
Answers
Answer:
150cm²
Step-by-step explanation:
In a trapezoid, the length of one base is equal to its height and the length of the other base is twice its height. If the height is 10 centimeters, what is the area of the trapezoid?
The formula for the area of a trapezoid = 1/2(a + b) h
Where a = Length of the first base
b = Length of the second base
h= height of the trapezoid
h = 10cm
The length of one base is equal to its height
Hence:
a = h = 10cm
The length of the other base is twice its height.
b = 2h
h = 10cm
b = 10 × 2 = 20cm
Therefore, the Area of the Trapezoid =
1/2 (20 + 10)10
1/2 × 30 × 10
= 150cm²
Related Questions
Help please! No links!
In a third grade class, students are measuring each other's heights and recording the data.
If they decide to also include their teacher's height, how would this affect the mean of their data?
A. It will have no effect on the mean.
B. It will increase the mean.
C. It will decrease the mean.
D. It will remove the mean.
Answers
Answer:
A option is your answer bro
Answer:
Step-by-step explanation:
B it will increase the mean because the teachers height is a lot more than the 3rd graders.
hope that helps!can you choose me brainliest? :D
What is the area of triangle ABC in the simplest terms?
Answers
Solve for x LT1 10th grade level
Answers
Answer:
x = 5
Step-by-step explanation:
Because the red-marked lines are parallel, we know that the ratios are the same
5x : 45 = 20 : 36
5x/45 = 20/36
5x * 36 = 20 * 45
5x * 4 = 20 * 5
5x * 1 = 5 * 5
x = 5
Use dimensional analysis to convert the measurements.
A dwarf sea horse stvims at a rate of 51.68 feet per hour. Convert this speed to inches per minute.
The speed is
inches per minute.
Answers
Answer:
10.336 in/ minStep-by-step explanation:
The speed is:
51.68 feet / hourCovert to inches / min:
1 foot = 12 in, 1 hour = 60 min51.68 feet / hour =51.68 * 12 in / 60 min = 51.68 * 1/5 in / min = 10.336 in/ minfind the solution of given expression
[tex] \sqrt{9 \times 36} [/tex]
Answers
Answer:
solution given:
[tex] \sqrt{9 \times 36} [/tex]=[tex] \sqrt{3² \times 6²} [/tex]=±(3×6)=±18 is your answer
PLS I NEED HELP
Which angle pair relationship shows that two lines are parallel?
a. Two alternate interior angles are supplementary.
b. Two vertical angles are congruent.
c. Two corresponding angles are congruent.
d. Two adjacent angles are supplementary.
Answers
Answer:
The answer is C I know that is right
plz help i have been asking thus asking this question for too long
Answers
Answer:
1/12
Step-by-step explanation:
1/6 x 1/2 = 1/12
The answer would be 1/6 IF you took 1/6 of the full sheet of paper, but if you are taking 1/6th of half of the paper, then you are taking half the amount. Basically, you would need two 1/6 pieces of one half to be equivalent to one 1/6th piece on the full sheet.
I'm really sorry if my explanation sounds really confusing
In the right triangle shown, m
Answers
[tex] \tan(30) = \frac{x}{ \sqrt{72} } [/tex]
[tex] \sqrt{72} \tan(30) = x[/tex]
x equals about 4.9 rounded to the hundredths place.
In order for the data in the table to represent a linear function with a rate of change of +5, what must be the value of a?
a = 3
a = 8
a = 18
a = 33
Answers
Answer: C: A=18
Step-by-step explanation: If your are adding 5 every time the x value goes up by one, then you would add 5 to13, henceforth getting 18.
The value of a that completes the table is 18
Rate of change of a functionThe rate of change of a function is expressed in term of the slope.
In order to determine the value of a, we will use the expression below;
Slope = a - 13/4-3 = 23-13/5-3
a-13 = 10/2
a - 13 = 5
Add 13 to both sides
a =5 + 13
a = 18
Hence the value of a that completes the table is 18
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Plzzzz Help
Matthew is planning to build a right triangular flower bed as shown below. He has set up the flower bed so that the following is true. Which of the following statements about the flower bed is true?
Answers
of liar segment oC.
the length of line segment AB is twice the length of
line segment Bc.
D. 13 inches
(PLS HELP!!!!)
Answers
Answer:
A
Step-by-step explanation:
Determine whether the graphs of the given equations are parallel, perpendicular, or neither.
Answers
9514 1404 393
Answer:
(c) Perpendicular
Step-by-step explanation:
The slope is the coefficient of x in this slope-intercept form.
The slope of the first line is +1.
The slope of the second line is -1.
The product of the slopes is (1)(-1) = -1. When the product of slopes is -1 for two lines, those lines are perpendicular.
What was the first step in Ghana’s independence? Kwame Nkrumah became the prime minister. A military coup seized power in the colony. Africans gained a majority in the parliament. Opposition political parties were banned.
Answers
Answer:
c
Step-by-step explanation:
The Africans gained a majority in the Parliament
A key step that led to the independence of Ghana in the year 1957 is that Africans gained a majority in the parliament.
Ghana's independence:Ghana became an independent country in the year 1957. Ghana is a West Africa country with a general population of about 31 million people and it is a black nation.
A key step that led to the independence of Ghana in the year 1957 is that Africans gained a majority in the parliament.
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us
Complete the square
to find the vertex
of this parabola.
x2-14x+4y+29=0
( , )
Answers
Answer:
y=3x+29
Step-by-step explanation:
4y=12x+29
4y/4=12x+29/4
y=3x+29
Answer:
(7,5)
Step-by-step explanation:
Enter the degree of the polynomial below:
6x^6 + 9x^3 + 3x^2 - 4x^10 - 9x^5 - 5x^6
Answers
Answer:
10
Step-by-step explanation:
The highest exponent determines the degree of a polynomial.
CAN SOMEONE HELP ME PLEASE
Answers
Answer:
x = 4, y = -3
Step-by-step explanation:
Find the slope intercept form first (y = mx + b):
the one going down is y = -1/2x - 1 (slope is negative, down 1 over 2, and the y-intercept is at (0, -1) )
the one going up is y = 1/4x - 4 (slope is up 1 over 4, and the y-intercept is at (0, -4)
Convert them into standard form (Ax + By = C):
1st equation: multiply the entirety of both sides by 2 to get rid of the fraction:
2y = -1x -`2
add 1x to both sides: 1x + 2y = -2
2nd equation: multiply the entirety of both sides by 4 to get rid of the fraction:
4y = 1x - 16
subtract 1x from both sides: -1x + 4y = -16
Isolate a variable:
-x + 4y = -16
-x = -4y - 16
x = 4y + 16
Plug that into other equation:
1(4y + 16) + 2y = -2
6y + 16 = -2
6y = -18
y = -3
Substitute y into the isolated equation:
x = 4(-3) + 16
x = -12 + 16
x = 4
I WILL GIVE THE BRAINLIEST TO WHOEVER CAN SOLVE THIS RIGHT NOW!!
Central Park is shaped like a rectangle. Two diagonally-opposite corners of the park are located at (-8, 6) and (5, -4) on the coordinate plane.
Which coordinate pairs are the locations of the other two corners?
Answers
The two coordinate pairs for the locations of the other two corners are shaped in rectangle. Two diagonally oposite corners of the park are located ( - 6, 3) and (3, 4)
Hope this helped you!
(pls branliest too thanks)
If a cylindrical vessel is 15 cm long and its surface area is 650 cm?, set up an
equation to find its radius.
Answers
Answer:
2π r(15 + r ) = 650
Step-by-step explanation:
The formula for TSA of cylinder is 2πr (r +h)
so
The correct equation is
2π r(15 + r ) = 650
hope it helps :)
Identify the coeficient: 6x + 19
Answers
Answer:
25x
Step-by-step explanation:
6x + 9 = 25x
Answer:
6
Step-by-step explanation:
Coefficients are the numbers in terms with the variable
6 is the number with the variable (x)
w h a t, i s, t h i s . . ?
Answers
Find the measure of angle ABD. Triangle ABD is an Isosceles Triangle.
Answers
Answer:
The answer to this question is 68
Answer:
m∡ABD = 68°
Step-by-step explanation:
let x = m∡ABD
44 + 2x = 180
2x = 136
x = 68
What is g(-3) for g(1) = (x + 7) + 2?
Answers
Answer:
x9
Step-by-step explanation:
i dunno if correct
Answer:
6
Step-by-step explanation:
Since you're given g(-3), set up the equation to look like this:
g(-3) = (x+7) + 2
Then plug in the g(x):
g(x) = (-3 + 7) + 2
Use PEMDAS to solve the equation:
g(x) = (-3 + 7) + 2
g(x) = (4) + 2
g(x) = 6
help me out please im so confused
Answers
John is looking for an apartment in the city. He has to make decisions about these choices.
* A ground floor (G) apartment or one that is not on the ground floor (N)
* An exterior entrance (E) or an interior entrance (I)
* To buy the apartment (B) or to rent it (R)
If John selects an apartment that is not on the ground floor (N), he can only choose an interior entrance (I). Which tree diagram BEST represents his choices?
Group of answer choices
I will give brainllents
Answers
Answer:
E
Step-by-step explanation:
E
When dividing by a mixed number, which should you do first?
Answers
Answer: Change each mixed number to an improper fraction.
Step-by-step explanation:
How to solve (7.1 × 10−5)(6.7 × 10−6)??
Please help by giving step-by-step explanations.
Answers
Popular Problems Algebra Evaluate Using Scientific Notation (7.1*10^-5)(6.7*10^-6)
(
7.1
⋅
10
−
5
)
(
6.7
⋅
10
−
6
)
Group coefficients together and exponents together to multiply numbers in scientific notation.
(
7.1
⋅
6.7
)
(
10
−
5
⋅
10
−
6
)
Multiply
7.1
by
6.7
.
47.57
(
10
−
5
⋅
10
−
6
)
Use the power rule
a
m
a
n
=
a
m
+
n
to combine exponents.
47.57
⋅
10
−
5
−
6
Subtract
6
from
−
5
.
47.57
⋅
10
−
11
Write
47.57
⋅
10
−
11
in proper scientific notation.
4.757
⋅
10
−
10
Answer:
4026
Step-by-step explanation:
Remember PEMDAS:
P - parenthesis
E - exponents
MD - Multiplication and Division (Left to Right)
AS - Addition and Subtraction (Left to Right)
------------------------
Start off by doing the parenthesis (7.1 x 10-5)
We must perform multiplication first so 7.1 x 10 is 71. From there you subtract 5 so 71 - 5 is 66!
So far we have: 66(6.7 x 10-6)
But we aren't done yet!
You must solve (6.7 x 10-6)
Same goes here, multiplication is done first so we would do 6.7 x 10 which is 67. Next, 67-6 which is 61.
We now have (66)(61)
When there is no sign of multiplication or division and the numbers are next to each other like this, you perform multiplication. So, 66x61 is 4026.
Thus, the answer is 4026!
P.S please mark brainiest, this took time <3
how many perfect squares are there between 2 and 140
Answers
Answer:
11
Step-by-step explanation:
4, 9, 16, 25, 36, 49, 64, 81, 100, 121
There are 10 numbers who are perfect squares.
What is Square of a number?When an integer is multiplied by the same integer, the resultant number is known as a square number. For example, when we multiply 5 × 5 = 52, we get 25. Here, 25 is a square number. Square numbers are always positive, they cannot be negative because when a negative number is multiplied by the same negative number, it results in a positive number.
Properties of Square NumbersThe properties of square numbers are listed below which helps to identify them easily.
Square numbers always end with the digits 0, 1, 4, 5, 6, and 9. For example, 25, 49, 81, 100, etc are perfect squares, whereas, 37, 48, 22, etc are not considered to be perfect square numbers.The number of zeros at the end of a square number is always even. This means if a number has an odd number of zeros at the end, then the number is not a square number. For example, 400, 3600 are square numbers, whereas, 10, 250, and 360 are non-square numbers.If a number has 1 or 9 as its last digit, then its square number ends with 1. For example, the square of 9 is 81, and the square of 11 is 121.If a number has 4 or 6 as its last digit, then its square number ends with 6. For example, the square of 4 is 16, and the square of 26 is 676.The square of even numbers is always even, and the square of odd numbers is always odd. For example, the square of 12 is 144, and the square of 13 is 169.Square numbers are always positive because two negative signs multiplied by each other result in a positive sign. For example, (-6)2 = -6 × -6 = 36 . Here, the product is 36 and it is a positive square number.Given:
2 and 140
Now, the perfect squares are:
√4=2
√9=3
√16 =4
√25=5
√36=6
√49=7
√64=8
√81=9
√100=10
√121=11
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Each of the four shapes shown below has been made from four unit cubes.
For each shape, Max takes eight copies of the shape and tries to fit them together to make a
2
×
4
×
4
cuboid.
How many of the shapes can be used to make a cuboid of that size in this way?
Answers
Answer:
Step-by-step explanation:
32
The rectangle ABCD is reflected across the y-axis. What are the
coordinates of the vertex A'?
Answers
In Algebra, we learn about many types of functions. These functions vary from simple to
complex. Think about the different types of functions we've explored so far (linear,
quadratic, and exponential). What features do they share, and how are they unique?
Answers
Answer:
they share some features like;exponents,
mathematical signs, variables and more
The shared feature is that the 3 are functions relating y and x, and the uniqueness is on the exponent (or degree for the first two cases).
What the functions have in common?A linear function is:
y = a*x + b
A quadratic function is:
y = a*x^2 + b*x + c
An exponential function is:
y = A*(b)^x
So, the thing that we can see that the functions have in common is that in all of them, the variable y depends on the variable x.
How these functions are different?Well, the exponents are clearly different.
The linear function is of degree 1, the quadratic function is of degree 2, and in the exponential function the variable is in the exponent (it is not a polynomial like in the first two cases).
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