A triangle has a area of 36 square feet. if the height is 6 feet more than it's base, what are its height and base
Answers
The base and height of the triangle are 6 and 12 feet respectively.
What is the perimeter of a triangle ?
The perimeter of a triangle is sum of the lengths of it's sides.
According o the given question A triangle has area of 36 square feet.
Also given that the height is 6 feet more than it's base.
Assuming base of the triangle to be b.
∴ Height of the triangle (h) = (b+6).
We know area of a triangle is (1/2)×base×height.
∴ (1/2)×b×(b+6) = 36.
b² + 6b = 72.
b² + 6b - 72 = 0.
b² + 12b - 6b - 72 = 0.
b(b+12) -6(b+12) = 0.
b - 6 = 0 OR b + 12 = 0.
b = 6 OR B = -12. ( -12 is not applicable since length can't be negative )
So, The base of the triangle is 6 feet.
∴ Height is 6 + 6 = 12 feet.
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height 12
because 6+12 is 18 and 18 times 2 is 36
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Answer: $2.72
Step-by-step explanation: Multiply the amount of strawberries in this case 3.4 by the price per unit in this case $0.80 per pound.
Answer:
2.72
Step-by-step explanation:
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If a sweater sells for $ 48 after a 25 % markdown then the original price
is $64.
What is Percentage?
percentage, a relative value indicating hundredth parts of any quantity.
Let the original price of the sweater be p dollars.
After a 25% markdown, the sweater sells for $48, which means the customer pays 75% of the original price:
75% of p = $48
Converting the percentage to a decimal:
0.75p = $48
Solving for the originalprice:
p = $48 / 0.75
p = $64
Therefore, the original price of the sweater was $64.
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How? Well you just have to multiply $48 by 25% (or 0.25) and you get 12.00. Finally you add that to $48 and you get $60
Answers
Answers
Answer:
The number of hamburgers sold was 139 and the number of cheeseburgers sold was 278.
Step-by-step explanation:
Let
x -----> the numbers of hamburgers sold on Thursday
y -----> the numbers of cheeseburgers sold on Thursday
we know that
----> equation A
----> equation B
Substitute the equation B in equation A and solve for x
Find the value of y
therefore
The number of hamburgers sold was 139 and the number of cheeseburgers sold was 278.
Answers
Answer:
Step-by-step explanation:
4p+1>-7 , p>-2
6p+3<33 , p<5
-2<p<5
Answers
The value of y for the given expression will be -1.
What is an expression?
Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
Solve the system by substitution.
x = 2y + 3
4x-5y = 9
Substituting the value of x in equation no. 2, we have,
4(2y+3) - 5y = 9
8y + 12 - 5y = 9
3y + 12 = 9
3y = 9-12 = -3
The value of y is calculated as,
3y = -3
y = -3/3 = -1
y = -1
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x = 2y + 3
4x-5y = 9
Substituting the value of x in equation no. 2 , we have,
4(2y+3) - 5y = 9
8y + 12 - 5y = 9
3y + 12 = 9
3y = 9-12 = -3
thus, 3y = -3
thus, y = -3/3 = -1
thus, y = -1