A rectangle has vertices at (0,0), (4,0), (4,3), (0,3). Give the base and height of three parallelograms with the same area
Answer:
The base and height of three parallelograms with the same area as the 12 square inches rectangle are
1) First parallelogram;
Base length of parallelogram = 4 units
Height of parallelogram, = 3 units
2) Second parallelogram
Base length of parallelogram = 6 units
Height of parallelogram, = 2 units
3) Third parallelogram
Base length of parallelogram = 5 units
Height of parallelogram, = 2.4 units
Step-by-step explanation:
The vertices of the rectangle are; (0, 0), (4, 0), (4, 3), and (0, 3)
Let ABCD represent the vertices of the rectangle such that we have;
A(0, 0), B(4, 0), C(4, 3), and D(0, 3)
The area of the rectangle, A = The length of AB × The length of CB
The length of AB = √((4 - 0)² + (0 - 0)²) = 4
The length of CB = √((4 - 4)² + (3 - 0)²) = 3
∴ The area of the rectangle, A = 4 × 3 = 12 square units
The area of a parallelogram = Base length × Height
The base and height of three parallelograms with the same area as the 12 square inches rectangle are;
1) Base length of parallelogram = 4 units
Height of parallelogram, = 3 units
The area of the parallelogram, A = Base × Height;
∴ A = 4 units × 3 units = 12 units²
2) Base length of parallelogram = 6 units
Height of parallelogram, = 2 units
The area of the parallelogram, A = Base × Height;
∴ A = 6 units × 2 units = 12 units²
3) Base length of parallelogram = 5 units
Height of parallelogram, = 2.4 units
The area of the parallelogram, A = Base × Height;
∴ A = 5 units × 2.5 units = 12 units².
What is the answer to this please help
Answer:
A = 140
Step-by-step explanation:
Area of a triangle:
A = 1/2bh
Given:
b = 20
h = 14
Work:
A = 1/2bh
A = 1/2(20)(14)
A = 10(14)
A = 140
Determine which ordered pair is a solution to the inequality: 3x+y>6
(1,1) (2,1) (1,2) (0,0)
Answer:
order pair (2,1) is the solution to the inequality.
The bagel shop sells special bagel sandwiches for $7 and plain bagels for $2. Last saturday, they sold 100 items and made $385. How many special bagel sandwiches were sold on that saturday ?
Answer:
Number of special bagel sandwiches = 37
Step-by-step explanation:
Let [tex]x,y[/tex] denote number of special bagel sandwiches and plain bagels respectively.
The bagel shop sold 100 items.
[tex]x+y=100\\y=100-x[/tex]
Also, The bagel shop made $385.
[tex]7x+2y=385[/tex]
Put [tex]y=100-x[/tex] in [tex]7x+2y=385[/tex]
[tex]7x+2(100-x)=385\\7x+200-2x=385\\5x=385-200\\5x=185\\x=\frac{185}{5}\\x=37[/tex]
So,
Number of special bagel sandwiches = 37
?!??!!!!!someone help me
Answer:
its b
Step-by-step explanation:
Well the easy way to find this is to just solve the first one. the equation is
x-y>5 so you plug in the coordinate and you end up with 7-2>5 which is false. So any answer with option one is out and b is the only one that fits that description.
Please help due soon and explain why it’s that choice. Thanks! Giving brainiest btw.
I really need help with this it’s on Aleks
Answer:
y = 2
Step-by-step explanation:
Given
[tex]\sqrt[3]{3y+2}[/tex] + 4 = 6 ( subtract 4 from both sides )
[tex]\sqrt[3]{3y+2}[/tex] = 2 ( cube both sides )
3y + 2 = 2³ = 8 ( subtract 2 from both sides )
3y = 6 ( divide both sides by 3 )
y = 2
A tennis club has 560 members.
(a) The ratio
men : women: children
5:6:3
(i) Show that the club has 240 women members.
(ii) How many members are children?
Answer:
see explanation
Step-by-step explanation:
sum the parts of the ratio, 5 + 6 + 3 = 14 parts
Divide number of members by 14 to find the value of one part of the ratio.
560 ÷ 14 = 40 ← value of 1 part of the ratio
(i)
number of women = 6 × 40 = 240
(ii)
number of children = 3 × 40 = 120
In a small town of 5,832 people, the mayor wants to determine the proportion of voters who would support an increase to the food tax. An assistant to the mayor decides to survey 1,000 randomly chosen people to construct a 90% confidence interval for the true proportion of people who would support the increase in food tax. Of the sample, 363 people say they would support the increase. Are the conditions for inference met?
Yes, the conditions for inference are met.
No, the 10% condition is not met.
No, the randomness condition is not met.
No, the Large Counts Condition is not met.
Answer:
No, the 10% condition is not met is the answer.
1,000/5,832 is 0.1714, or ~17%, which is more than 10% of the population.
No, the 10% condition is not met.
Ratio:
'Ratio is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another.'
Proportion:
'A proportion is an equation in which two ratios are set equal to each other.'
According to the given problem,
Total number of people in the town = 5832
Number of people to be surveyed = 1000
Ratio of number of people chosen to the total population = [tex]\frac{1000}{5832}[/tex]
= 0.17
Therefore percentage of people to be surveyed = 0.17 × 100
= 17%, which is more than 10%
Hence, we can conclude that the 10% condition is not met.
Learn more about Ratio and Proportion here:
https://brainly.in/question/30210407
#SPJ2
David got an $80 gift card to walmart. He uses the gift card to buy a dog toy for $12.99. He also wants to use the gift card to buy some candy bars. Each candy bar cost $0.99 how many candy bars can he buy
Answer:
67.68
68 rounded
Step-by-step explanation:
80-12.99=67.01
67.01 divided by 0.99=67.68 repeating
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer: They are related by the AAS postulate and they can be proven congruent.
Step-by-step explanation: You can see that one of the lines on each of the triangle has that little tick which means those lines are congruent. You can also see that for two of the angles one of them has one arc and the other has two arcs for BOTH triangles which makes those two angles congruent. Two angles and one side congruent makes the triangles congruent by the AAS postulate.
I hope I helped! :)
Area please I’ll mark brainliest
Answer:
112
Step-by-step explanation:
A = (B1 + B2)(8)/2
A = 28(8)/2
A = 112
112 ur welcome <3
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3.8n+1=3.6m+1.62 (show the work)
Answer:
M=1.05n-0.172
Step-by-step explanation:
Solve the right triangle. Round side and angle measures to the nearest tenth, if necessary.
Answer:
∠C = 28° (as you have done)
AB = 4.7
BC = 8.8
Step-by-step explanation:
cos 62° = AB/10
0.4695 = AB/10
AB = 10(0.4695) = 4.69
sin 62° = BC/10
0.8829 = BC/10
BC = 10(0.8829) = 8.83
The equation for the perimeter around Claire's garden is a:
O Linear Function
O Exponential Function
O Quadratic Function
O Absolute Value Function
Answer:
Linear function
Step-by-step explanation:
Took da test ;)
help pls pls hahsjsjdhd
Answer: [tex]\frac{x}{50} > 8[/tex]
Step-by-step explanation:
more than = > not ≥
Please help best gets brainlist and 5/5 and show work please
What is the distance between the origin and the point (2,-5) on a graph? The options are: square root of 7. Square root of 29. 7. 29.
Answer:
Square root of 29.
Step-by-step explanation:
Distance = sqrt(2^2 + (-5)^2)
= sqrt 29.
Brent works part-time at a clothing store. He earns an hourly wage of $15. If he needs to earn more than $45 in a day and works for x hours a day, which inequality represents this situation? A. 15x > 45 B. 15x < 60 C. x > 60 D. 15x < 45 E. x < 60
Answer:
A) 15x > 45
Step-by-step explanation:
Let X represent an hour. His wage will be 15 times that, so you have:
15x
He needs to earn more than 45 a day, so the inequality needs to be >45
Only answer that satisfies these conditions is A:
A) 15x > 45
Answer: A.
Step-by-step explanation:
help with segment relationships in circles...picture attached.
A rectangular box has a volume of 15 cubic feet. The length, width, and height of the box are each doubled.
What is the new volume of the rectangular box?
A. 30 cubic feet
B. 60 cubic feet
C. 90 cubic feet
O D. 120 cubic feet
Answer:
it should be D/120
Step-by-step explanation:
An example of the box is:
5 the width
3 the length
1 the height.
That would be 5 x 3 x 1.
To double them, you must multiply each number by 2:
5 x 2 = 10
3 x 2 = 6
1 x 2 = 2.
Now the equation is 10 x 6 x 2.
First multiply 10 x 6 (60).
Then 60 x 2 (120).
120 is the answer
Can someone help me, please!!
Id say its option 3.
A ratio is a comparison of two quantities.
(2 points)
A.True
B.False
Answer:
true
Step-by-step explanation:
can you simplify -3(x+7)
Answer:-3x-21
Step-by-step explanation: use the distributive property
Answer:
=−3x−21
Step-by-step explanation:
−3(x+7)
=(−3)(x+7)
=(−3)(x)+(−3)(7)
=3x-21
HELP ME PLEASE I need it
PLEASE HELP HURRY!!!
Answer:
C
Step-by-step explanation:
consistently goes down by 3.2 for the y value
From a survey of 100 commuters about how they get to work, 38 said they drive their cars, 47 said they take the bus, 14 said they take the subway, and 1 said they ride their bicycle. If there were 4,800 commuters total. How many drove a car out of the 4,800? How many took the bus out of the 4,800? How many took the subway of the 4,800? How many rode a bicycle out of the 4,800? PLEASE HELP
1824 drove a car
2256 take a bus
672 ride the subway
48 ride a bicycle
33/q = 8/12 q=?
What is q
Answer:
q= 49.5
Step-by-step explanation:
[tex] \frac{33}{q} = \frac{8}{12} [/tex]
Cross multiply:
8q= 33(12)
8q= 396
Divide by 8 on both sides:
q= 396 ÷8
q= 49.5
ill give brainlist for you will receive the 30 if you get them all 3 right if you get one right ill give you thanks if you do 2 ill give thanks and all 5 hearts and if you get all 3 right ill do brainlist and the thanks as well as the 5 hearts
Answer:
The answers from left side on
X=60
X=15
X=21
Step-by-step explanation:
Good luck ^_^
8 km
6 km
What is the length of the hypotenuse?
kilometers
C
Answer:
10
Step-by-step explanation:
We use pythagorean theorem:
a^2 + b^2 = c^2
8^2 + 6^2 = c^2
[tex]\sqrt{36 + 64} = \sqrt{100} = 10[/tex]