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The parallelogram shown below has an area of 21 units?.
7
b
8
Find the missing base.
b=
units
Answers
Answer:
The missing base b is 3 units
Step-by-step explanation:
The parallelogram has two different bases, b1 and b2Each base has a height perpendicular to it from the base parallel to ith1 is the height of b1 and h2 is the height of b2The formula of the area of the parallelogram is A = b1 × h1 = b2 × h2Let us solve the problem
In the given figure
∵ The given figure is a parallelogram
∵ The line of length 7 is perpendicular to the base that parallels to base b
∵ The base b has a height of 7 units
→ By using the formula of the area above
∵ A = b1 × h1
∵ b1 = b and h1 = 7 units
∵ The parallelogram has an area of 21 square units
∴ A = 21
→ Substitute the value of A and h in the rule of the area
∵ 21 = b × 7
∴ 21 = 7b
→ Divide both sides by 7
∴ 3 = b
∴ The missing base b is 3 units
Related Questions
Ms. Martinez has a class of 16 students. She can spend $17 on each student to buy math supplies for the year. She first buys all of her students calculators,
which costs a total of $89.76. After buying the calculators, how much does she have left to spend on each student?
su
Answers
Answer:
none
Step-by-step explanation:
Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).
-1
1
-4
4
2 + 5i
2-5i
-2 + 10i
-2 - 10i
Answers
Answer:
B, C, E, F
1, -4, 2+5i, 2-5i
Step-by-step explanation:
The roots of the function g(x) are -4 and 1.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the roots of the given function, we need to find the values of x that make the function equal to zero.
This can be done by factoring the function and setting each factor equal to zero.
g(x) = (x² + 3x - 4) (x² - 4x + 29)
Setting each factor equal to zero.
x² + 3x - 4 = 0
(x + 4)(x - 1) = 0
x² - 4x + 29 = 0
This quadratic has no real roots since its discriminant is negative.
The roots of g(x) are the values of x that satisfy either of these equations, which are:
x = -4 or x = 1
Thus,
The roots of the function g(x) are -4 and 1.
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Solve it please!
-2f - 7(-8f + 3)
Answers
Answer:
3(18f−7) (factored)
54f−21 (simplified)
hope this helped :D
A gardener wants to build a rectangular fence for his prize winning roses. The length of the fence should be at least 6 feet and the distance around it should be no more than 18 feet. What are the possible dimensions?
Answers
Answer:
Dimension = 6 feet × 3 feet
Step-by-step explanation:
From the question given above, the following data were obtained:
Length (L) = 6 feet
Distance around the fence (Perimeter) = 18 feet
Dimension of the fence =?
Next, we shall determine the breadth of the rectangular fence. This can be obtained as follow:
Length (L) = 6 feet
Perimeter (P) = 18 feet
Breadth (B) =?
Perimeter of rectangle is given by:
P = 2(L + B)
18 = 2 (6 + B)
Clear the bracket
18 = 12 + 2B
Collect like terms
18 – 12 = 2B
6 = 2B
Divide both side by 2
B = 6/2
B = 3
Thus, the breadth of the rectangular fence is 3 feet
Dimension of the rectangular fence is given by:
Dimension = length × Breadth
Length (L) = 6 feet
Breadth (B) = 3 feet
Dimension = 6 feet × 3 feet
Meldrick had $28 in his savings account. On Monday, he deposited his earnings from mowing lawns on the weekend. He earned the same amount the next weekend but deposited only 40% of those earnings. After making the two deposits, he had $70 in his account. How much did he earn in one weekend?
Answers
Answer:
70 - 28 = 42
42/100 X 40 = 16.8
42 - 16.8 = 25.20
Solve. What is the 15% of 15?
Answers
Answer:
2.25
Step-by-step explanation:
Step-by-step explanation:
It is 2.25
Please help hawjwjrjshfhsjsjsjakskdkskdkdid
Answers
9514 1404 393
Answer:
3 1/4
Step-by-step explanation:
[tex]\dfrac{3}{4}+\left(\dfrac{1}{3}\div\dfrac{1}{6}\right)-\left(-\dfrac{1}{2}\right)\\\\=\dfrac{3}{4}+\left(\dfrac{2}{6}\div\dfrac{1}{6}\right)+\dfrac{1}{2}\\\\=\dfrac{3}{4}+\dfrac{2}{1}+\dfrac{2}{4}\\\\=2+\dfrac{5}{4}=2+1\dfrac{1}{4}\\\\=\boxed{3\dfrac{1}{4}}[/tex]
Simplify (2/3)^3 (1/5 *2/3)^-3 (1/5)^4
Answers
Answer:
1/5
Step-by-step explanation:
im pretty sure thats it! and have a great day!
Answer:1/5 or 0.2
by-step explanation:
record the letters in your triangle from left to right example ABCDEFGHI
Answers
Answer:
ABYARCIST
Step-by-step explanation: like that hope i did it right
Triangle is a polygon with 3 sides. The record of the letters in your triangle from left to right is EGFBIHDCA.
What is a triangle?A triangle is a polygon with 3 sides. Also, It has three vertices.
As the example is given to us, ABCDEFGHI is the record of the letters that are when seen from top to bottom, therefore, if we rotate the triangle such that the left side of the triangle is on the upper side, then the triangle we will get is given below.
Thus, the record of the letters in your triangle from left to right is EGFBIHDCA.
Learn more about Triangle:
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if y=4x+5 what is the slope of the line
Answers
Answer:
4
Step-by-step explanation:
y = mx + b
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
In this case, check what number replaces the variable for slope, m:
y = mx + b
y = 4x + 5
In this case:
y = y
m = 4
x = x
b = 5
Therefore, 4 is your answer.
~
Hii!
___________________________________________________________
Answer:
Below is all the information you need! ^^
Step-by-step explanation:
Note that the equation that is given to us is in slope intercept form.
The slope intercept formula is y=mx+c, in which.
m=slope
c=y intercept
In the equation y=mx+c, the slope is m.
Similarly, in the equation y=4x+5, the slope is 4.
--
Hope that this helped! Best wishes.
--
Amelie and her friends pick 27 pounds of blueberries. Each pound of blueberries contains 195 blueberries. How many blueberries did Amelie and her friends pick?
Answers
Answer:
5,265 blueberries
Step-by-step explanation:
195 blueberries 1 pound
----------------------- x --------------
? 27 pounds
cancel the 1 pound
cross multiply the 195 and 27
Answer:
hi soo i just did this got it right and the correct answer is 5265.
Step-by-step explanation:
ik it might not help now but still work right? hehe
Ms. Lim asked her class to find an expression equivalent to 7 - 3 (4 - 2x) - 10x .
whats wrong with these problems? please include your work.
Answers
Answer:
Solving [tex]7-3(4-2x)-10x[/tex] we get [tex]-4x-5[/tex]
Step-by-step explanation:
Jon solved:
7-3(4-2x)-10x
4(4-2x)-10x
16-8x-10x
16-18x
Error in John Work
The error in John work is that he subtracted 7-3 first, which is wrong. According to the rule, first brackets are solved, then multiplication or division and then addition or subtraction is performed.
Madison Solved:
7-3(4-2x)-10x
7-3(2x)-10x
7-6x-10x
7-16x
Error in Madison Work
The error in Madison work is that she subtracted (4-2x) and get 2x which is wrong. Only like terms are added or subtracted. 4 and -2x are not like terms so, we can't subtract them
Selina Solved:
7-3(4-2x)-10x
7-12-2x-10x
-7-12x
Error in Selina Work
The error in Selina work is that she wrongly multiplied -3 with -2x
-3(-2x) we get 6x but Selina found it to be -2x which is wrong.
My solution:
Now, we will solve the equation correctly
[tex]7-3(4-2x)-10x[/tex]
First, multiply -3 with terms inside the bracket
[tex]7-12+6x-10x[/tex]
Now, combine like terms
[tex]7-12+6x-10x\\-5-4x[/tex]
or we can write -4x-5
So, solving [tex]7-3(4-2x)-10x[/tex] we get [tex]-4x-5[/tex]
HElp PLZ DUE RIGHT KNaw
Answers
Answer:
variables :)
Step-by-step explanation:
Answer:
[tex]....8. \to \: b) \: \: 3 \\......................9. \to \: c) \: coefficients \\............... 10. \to \: d) \: variables[/tex]
HAAALLLLPPPP plz
The production cost to make 10 shirts is modeled by the expression Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. where y represents the number of meters of fabric needed to make the shirts. Which expression represents the production cost for one shirt?
Answers
Answer:
the second one, B
Step-by-step explanation:
This is because in both numbers the decimal was moved back one.
0.18y+55 is the represents the production cost for one shirt.
What is Expression?Expression is a combination of numbers, variables and operators.
Given that production cost to make 10 shirts is modeled by the expression 1.8y+55.
The variable y represents the number of meters of fabric needed to make the shirts.
We need to find the expression represents the production cost for one shirt.
As there are 10 shirts so divide 1.8 with 10
we get 0.18.
And the value remains constant as it is a constant which does not change.
Hence, 0.18y+55 is the expression represents the production cost for one shirt.
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PLS HELP!!!!!what is the equation
Answers
Answer:
y= -x
Step-by-step explanation:
y= -x
14. Two sides of a parallelogram are in the ratio 5 : 3 and its perimeter is 48 cm. Find
the length of each of its sides.
Answers
Perimeter of the parallelogram = 2( length + breadth)
Solution :-Let the length and breadth be 5x and 3x
2(5x + 3x) = 48cm
2(8x) = 48cm
x = 48/16
x = 3cm
Length = 5x = 5×3cm = 15cm
Breadth = 3x = 3×3cm = 9cm
We know that,
In parallelogram Opposite sides are equal
Hence, The sides of the Parallelogram are 15cm, 9cm, 15cm and 9cmThe distance between Dallas, TX and Houston, TX is 384 kilometers. There are approximately 8 kilometers in 5 miles. Which measurement is closest to the number of miles between these two cities?
Answers
- x(x + 7 (x - 5)
Graph this
Answers
Answer:
=−8x2+35x
Step-by-step explanation:
multiply first
Plz I need help on this what is the unit cost in this question?
Answers
THE UNIT IS DOLLAR ($).
Step-by-step explanation:
BECAUSE IT IS GIVEN IN TOTAL COST
Can someone solve the joke please?
Why did the new boy steal a chair from the classroom?
Answers
Answer:
Because the teacher told him to take a seat.
Answer:
Lol. Because the teacher told him to take a seat.
Help Please ! =(
Find the measures of the interior angles of the triangle.
Answers
So, 86-35 which is 51.
A= 86 and C=51
Katharine has a bag containing 20 dried beans. Eight of the beans are painted blue. If Katharine selects a bean from the bag at random, what is the probability that she will draw a bean that is NOT blue? Al out of 3 B 2 out of 5 C 3 out of 5 D 2 out of 3
Answers
Given:
Total number of beans = 20
Number of blue of beans = 8
One bean is selected from the bag at random.
To find:
The probability that she will draw a bean that is NOT blue.
Solution:
We have,
Total number of beans = 20
Number of blue of beans = 8
Number of non-blue beans = 20 - 8
= 12
Now, the probability that she will draw a bean that is NOT blue is
[tex]P(\text{Bean is not blue})=\dfrac{\text{Number of non-blue beans}}{\text{Total number of beans}}[/tex]
[tex]P(\text{Bean is not blue})=\dfrac{12}{20}[/tex]
[tex]P(\text{Bean is not blue})=\dfrac{3}{5}[/tex]
Therefore, the correct option is C.
OKK almost done pls tell me if you can!!!!
Answers
Step-by-step explanation:
(3*4+1) / 4. * (2*5+3) / 5
= 13/ 4 * 13 /5
= 169/20
Answer:
(8 9/20)(x)
Step-by-step explanation:
Solve: 8x+14y=4 6x+7y=10
Answers
Answer:
Therefore, x = 4 and y = -2.
Step-by-step explanation:
The steps are ;
[tex]8x + 14y = 4[/tex]
[tex]2(4x + 7y) = 4[/tex]
[tex]4x + 7y = 2 - - - (1)[/tex]
[tex]6x + 7y = 10 - - - (2)[/tex]
[tex](2) - (1)[/tex]
[tex]6x - 4x = 10 - 2[/tex]
[tex]2x = 8[/tex]
[tex]x = 4[/tex]
[tex]sub \: x = 4 \: into \: (1)[/tex]
[tex](1)⇒[/tex]
[tex]4(4) + 7y = 2[/tex]
[tex]16 + 7y = 2[/tex]
[tex]7y = - 14[/tex]
[tex]y = - 2[/tex]
How do the terms light, radiation, and waves relate to one another?
Answers
What is the value of the expression?
3
131
3
152
Answers
When plotting points on the coordinate plane below, which point would lie on the x-axis?
Answers
Answer:
If you plot the points you can easily find the answer. (X,Y) The x-axis is the horizontal line and the y-axis is the vertical line.
Step-by-step explanation:
Mark me as brainlist
Genie worst five hours on Tuesday three hours on Wednesday 4.5 hours on Thursday if H represents her hourly pay rate which expression below shows the amount she earned
Answers
Answer:
12.5H
Step-by-step explanation:
Number of hours worked per day:
Tuesday = 3 hours
Wednesday =5 hours
Thursday = 4.5 hours
H = hourly pay rate
Total amount earned = 3 hours × H + 5 hours × H + 4.5 hours × H
= 3H + 5H + 4.5H
= 12.5H
The expression which shows the total amount she earned = 12.5H
Example:
Brigette is putting a border around a scrapbook cover.
The cover is 12 inches tall and 14.5 inches wide. How
much border does Brigette need?
Answers
Answer:
Step-by-step explanation:
Brigitte is putting a border, so she needs a perimeter
P=2(L+W)=2L+2W= 2*12+2*14.5=24+29=53
please help me please will give brainliest to anyone
Answers
Answer:
[tex]x^4+x^2-12[/tex]
Step-by-step explanation:
We'll write the polynomial using only the roots required to simplify calculations. However, it states the final answer should not have a radical or complex number in. Therefore, we need to rid them:
[tex](x+\sqrt{3})(x-\sqrt{3})(x-2i)(x+2i)[/tex]
Expanding this, we get:
[tex](x^2-3)(x^2+4),\\\fbox{$x^4+x^2-12$}[/tex].