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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
The sequence below shows the number of bacteria Arjun observed each hour for a science experiment:
5, 20, 80, 320, 1, 280,...
Which recursive function describes the number of bacteria observed at the nth hour?
Answers
Answer: f(1) =5
f(n+1)=4f(n)
Step-by-step explanation:
5/7-1/2= show work PLZZZZZZZZZZ HELPPPP
Answers
Answer:
3/14
Step-by-step explanation:
We need to line up the fractions. 5/7 on top, 1/2 on the bottom. We need to find common denominator so, 7 x 2 (denominators) gives us 14. 14 is now the denominator we will use. Solve for numerator: Starting at bottom fraction. 2 goes into 14 7 times, 7 times original numerator (1) 35. Theres your new numerator. Now, the top fraction: 7 goes into 14 2 times. 2 x original numerator (5) = 10. Now subtract both numerators (10 - 7 = 3) Plug in the denominator and your answer is: 3/14
The length and width or a rectangular courtyard is 40 feet and 30 feet, respectively. In order to make the courtyard larger, an additional 15 feet is being added to the width
Answers
Answer:
The new area is 1800feet^2
Step-by-step explanation:
Step one:
Given data
The length and width or a rectangular courtyard is 40 feet and 30 feet
we can calculate the area of the courtyard as
Area= 40*30
Area= 1200 feet^2
when the extra 15 feet is added to the width
the new width is= 30+15= 45feet
The new area is
Area= 40*45
Area= 1800 feet^2
in all the area will increase by 1800-1200= 600feet
150 times what number divided by 3 would give you 500?
Must be a whole number!
Answers
Answer:
10 because if you multiply 500 by 3 you get 1500 and how many times doe 150 go into it...10 times doing it backwards is sometimes easier :)
Step-by-step explanation:
Answer:
150n÷3=500
150n÷3×3=500×3
150n=1,500
150n÷150=1,500÷150
n=10
Plzzzzz give me Brainliest!
Isaiah leaves one city at noon. He has to be at another city at 186 km away at 3:00 P.M. The speed limit the entire way is 65 km/h. Can he arrive at the second city on time? Explain your reasoning using mathematical evidence.
Answers
Answer:
From noon to 3 pm, there are three hours so the average speed Isaiah will need to arrive in another city in 3 hours is 186/3 = 62 km/h. Since this is less than the speed limit, Isaiah can go an average speed between 62 km/h to 65 km/h to arrive at the second city on time.
Step-by-step explanation:
solve each system by substitution
Answers
Answer:
x=2,y=5
Step-by-step explanation:
y=8x-11 ----(1)
y=-7x+19----(2)
Replace (1) in (2)
8x-11 =-7x+19
8x+7x=19+11
15x =30
x =30÷2
x =2
If x=2,then replace x=2 in (1)
y=8(2)-11
y=16-11
y=5
Exactly 150 years ago, students planted a tree in front of their school. Since then, the tree has grown 33 meters taller and the distance around the trunk has increased by 3 meters. Use pencil and paper. Describe how you can use this information to find at least two different unit rates. Then find these unit rates.
Answers
Step-by-step explanation:
There are 2 different unit rates here:
The increase of the tree's height per year The increase of the tree's trunk per yearRate of tree's height per year
= 33m / 150 years = 0.22m per year.
Rate of tree's trunk per year
= 3m / 150 years = 0.02m per year.
How many solutions does this equation have?
–4s = –10 − 5s
does it have 1 solution or zero or infinity many solutions
Answers
[tex] - 4s = - 10 - 5s \\ - 4s + 5s = - 10 \\ s = - 10[/tex]
Answer Check by substituting s = -10 in the equation.[tex] - 4( - 10) = - 10 - 5( - 10) \\ 40 = - 10 + 50 \\ 40 = 40 \: \: \tiny \boxed{ \green \checkmark}[/tex]
SolutionsNo Solutions
When both sides of equation are different. For example, 3 = 4 which makes the equation false. That means the equation is false for all real numbers, thus having no solutions.
One Solution
A common type solution because you see this type of solution a lot. If you can solve the equation for a variable like x = 2 or s = 0. That's one solution.
Infinitely Many Solutions
When both sides are same like 3 = 3 or 7 = 7. That means the equation is true for all real numbers. You can see this type of solution by solving the equation with same both sides like 3x+2 = 3x+2.
AnswerBecause we can solve the equation for s-term. Therefore the answer is one solutionThe cornfield has 384 rows of corn. If the farmer can harvest 72 ears of corn from each row, how many ears of corn will he have? *
a.456
b.27,648
c.312
d.5 R 3
Answers
Explanation:
384 x 72 = 27,648
Answer:
b. 27,648
Step-by-step explanation:
Just multiple the two numbers together
384 x 72 = 27,648
Sin x = - 1/2
where (-360 < x < 360)
Answers
Answer:
-30, 210 and 330 degrees
Step-by-step explanation:
Given the expression Sin x = - 1/2
x = arcsin(-1/2)
x = -30 degrees
Since sin is negative in the third and fourth quadrant
x = 180 + 30
x = 210 degrees
In the fourth quadrant
x = 360 - 30
x = 330
Hence the value of x within the interval -360 < x < 360 are -30, 210 and 330 degrees
which graph shows the solution set of the inequality 2.9 (x + 8) less-than 26.1
Answers
Answer:
C
Step-by-step explanation:
Trust me bro
PLEASE HELP! I NEED THIS DONE BY TOMORROW!
1. In January, a mobile phone shop sold 100 phones. In February, they sold 92 phones. Represent this difference as a percentage change.
2. A piece is cut from a 130cm length of wood so that the remaining length is 104cm. What percentage of the wood has been cut off?
3. There are now 30 boys in a class that originally had 24 boys in it. What was the percentage increase in the number of boys in the class?
4. Last year, there were 300 students in Year 7. This year there are 315 students. Show that this is a 5% increase.
5. A piece of art was bought for £600. Six months later, it was sold for £675. What percentage of profit did the seller make?
6. In a sale, trainers originally costing £70 are reduced to £49. Calculate the percentage change.
7. Josh invests £3500. When his investment matures, he receives £4200. Work out the percentage
increase in his investment.
8. A car company bought a car for £8000. Two years later they sold the car for £7200. Calculate their
percentage loss.
Answers
Answer
down below
Step-by-step explanation:
i did it on your last post
please give me a brainliest!!
wayne's country has a sales tax rate of 5%. How much does mike's car cost before tax if the total cost of the car plus tax is 13,032.60?
Answers
Divide both sides by 1.05
X is original car price before tax
Car price was $12,412.00
A percentage is a way to describe a part of a whole. The cost of the car is $12,412.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that Wayne's country has a sales tax rate of 5%. The total cost of the car plus tax is $13,032.60. Therefore, the total cost of the car can be written as,
The total cost of the car = Cost of the car + Tax on the car
$13,032.60 = Cost of the car + 5% of the cost of the car
Let the cost of the car be represented by x.
$13,032.60 = x + 5% of the x
$13,032.60 = x + 0.05
$13,032.60 = 1.05x
x = $13,032.60 / 1.05
x = $12,412
Hence, the cost of the car is $12,412.
Learn more about Percentages here:
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HELP
3. The density of an object can be found with this formula...
D = M/V
D = Density, M = Mass, and V = Volume
Choose the correct equation for an object that has...
Density = ?, Volume = 10cm, Mass = 500g
Answers
Explanation:
Density = Mass/Volume
D = M/V
D = 500/10
D = 50 grams per cubic cm
Your teacher should have written cm^3, cc, or cubic cm instead of just "cm" to represent the volume. The abbreviation "cc" stands for "cubic cm" which you may hear a lot in hospital settings when it comes to medicine dosages.
The following system of linear equations has
-3x + 7y = 10
3x + 7y = -8
Answers
How do you solve 4x^2 + 44x + 96 step by step?
Answers
Answer:
60x+96
Step-by-step explanation:
4x^2= 16x
16x+44x+96
60x+96
ur welcome lol
h + 13.4 = -13.4
h = ?
Answers
Find the range of this equation
Answers
Answer:
b number
Step-by-step explanation:
Because range is the number of the y component
Hope this helps
Have a great day/night
I need help pls because I am confused.
Answers
Answer:
1/8
Step-by-step explanation:
The answer before you simplyify will be 24/4. that = 6
The difference of H.C.F. and L.C.M. of the numbers 12 and 16 is:
Pls help
Answers
Step-by-step explanation:
the hcf of numbers 12and16 is 12
the lcm of numbers 12and 16 is 4
hcf is divide
lcm is multiply by prime factorization
Hey guys I need help what is 361.5 divided by 12
Answers
Answer:
180.75
Step-by-step explanation:
if i swam 86 meters and someone else swam 53 meters how much more did i swim
Answers
Answer:
33 meters.
Step-by-step explanation:
You're trying to find the difference between 86 and 53. To find that, you would do 86-53.
Answer:
The answer is 33 meters
Step-by-step explanation:
This question is to find the difference between your's and someone else's swimming distance. Therefore, if you wanna know the difference of the distance you have to subtract form 86-33 which give the answer 33 meters.
solve for x. round to the nearest tenth
Answers
Step-by-step explanation:
848474u757585857577574urur7uu is the same man I love and love the following ❤ ❤ ❤ is a counting 4x and simplify and q woman in a whole week with the kids is the same man who sometimes lives with his secrets and his problems with the people who are in need to be to the people around the following x will not be allowed for a long term by the end up to be to be done in a whole week of i love u ur hand msome
What is the first step in solving the inequality. 32≥5−3x
Answers
Answer: Simplify
Step-by-step explanation:
Pete's Pizza Parlor sells pizzas for $7 each. Pete's has a $5 fee for all delivery orders. What equation could be used to find C, the total cost, based on p numbers of pizzas?
Answers
Answer:
C = 5 + 7p
Step-by-step explanation:
Pete's Pizza Parlor sells pizzas for $7 each. Pete's has a $5 fee for all delivery orders.
Let p = Total number of pizzas
Hence:
The total cost C is written as:
C = $5 + $7 × p
C = 5 + 7p
Therefore, the equation that could be used to find C, the total cost, based on p numbers of pizzas is:
C = 5 + 7p
There are 15 girls in your class this year. That is a 15% increase from last year.
a. Write a proportion to solve for the number of girls in the class last year.
b. Solve the proportion in part (a).
Answers
Answer:
13 girls
Step-by-step explanation:
100 + 15 = 115%
115% = 15 girls
1% = 0.13
100% = 0.13 x 100 = 13
Order the numbers from least to greatest.
-0.25, 1/4,1/3,0.3
Answers
Answer: −0.25, 1/4, 1/3, 0.3
Step-by-step explanation:
Convert all numbers to decimals
−0.25 = −0.25
1/4 = 0.25
1/3 = = 0.3333...
0.3 = 0.3
Arrange the numbers in ascending order
−0.25, 0.25, 0.3333.., 0.3
Replace the numbers with the original numbers
−0.25, 1/4, 1/3, 0.3
Eight friends share 64 tickets to the school carnival. Each friend has the same
number of tickets. How many tickets does each friend have?
9
7
6
8
Answers
Answer:
Step-by-step explanation:
Please help. I need a smart person to help :)
Answers
Answer:
quadrant 2!
Step-by-step explanation:
What is the simplified form of the following expression?
5 V8 - V18 -2 V2
Answers
Answer:
B) 5V2
Step-by-step explanation:
5√2 is the simplified form of the 5 √8 - √18 -2√2. Therefore, the correct option is option B.
What is mathematical expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. In order to help determine the sequence of operations and other features of logical syntax, mathematical symbols can be used to represent numbers, variables, operations, function, brackets, punctuation, or grouping.
Expressions are syntactic devices. It must be properly constituted, which means that the permissible operators have to include the right amount of inputs in the right places, legal characters for these inputs, a clearly defined sequence of operations, etc.
5 √8 - √18 -2√2
10√2-3√2 -2√2
√2(10-3-2)
5√2
Therefore, the correct option is option B.
To know more about mathematical expression, here:
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