A triangular banner has an area of 351cm2. The length of the base is two centimeters longer than four times the height. Find the height and length of the base.
Answers
Answer:
h = 13cm and b= 54cm.
Step-by-step explanation:
We have that the area and the base is two centimeters longer than four times the height, that is
where b is the base and h the height. Now, the area is
.
Now, we are going to use the general formula to solve quadratic ecuations:
where a=4, b= 2 and c= -702.
or
As we are searching for the lenght, we choose the positive result:
.
Related Questions
One number is five more than another, and their sum is three less than three times the smaller. Find the numbers.If x represents the smaller number, which equation could be used to solve for x? A. x 2 + 5 = 3x - 3 B. 2x + 5 = 3x - 3 C. 2x + 5 = 3(x - 3)
How to solve a system of equations
Helppppppppppp please...
You earned $204 from your job last week. You have two relatives with birthdays coming up and you want tospend the same amount on each of them. You want to still have $80 left over. How much do you spend on eachgift?
Answers
-10n+3(8+8n)=-6(n-4)
-10n+3*8+3*8n=-6n+6*4
-10n+24+24n=-6n+24
24+14n=-6n+24 /-24
14n=-6n /+6n
20n=0 /:20
n=0 - its the answer
Answers
100 / 8 = 12.5
Now, let's multiply this by 3 to be able to get the value
=> 12.5 * 3 = 37.5 is the value of 3/8 of 100.
This is a mixed number because its a combination of whole and decimal numbers.
The mixed number that represents 3/8 of 100 is 37 1/2.
To find the mixed number that represents 3/8 of 100, we need to divide 100 by 8 and then multiply the result by 3. This will give us the fractionalpart of the mixed number.
First, let's calculate 100 divided by 8:
100 ÷ 8 = 12.5
Next, we multiply the result by 3 to find 3/8 of 100:
12.5 × 3 = 37.5
The fractional part of the mixed number is 3/8 of 100, which is 37.5.
Now, let's convert this fractional part into a mixed number. Since the fractional part is 37.5, we know that the whole number part of the mixed number is 37. The fractional part can be represented as 5/10 or 1/2 because 5 is half of 10.
Therefore, the mixed number that represents 3/8 of 100 is 37 1/2.
Learn more about mixed number click;
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1. Angle 1 & angle 2 form a linear pair
2. Angle 1 is supplementary to angle 2
State the two reasons.
I really don't understand this question and I have a test tomorrow
Answers
3x = y + 7
What is the solution set?
{(-41/2, -9/2)}
{(-9/2, -41/2)}
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Answers
3x = y + 7
We will use the second equation to substitute in the first one. Here's how to do it:
3x = y + 7
y = 3x - 7 (now substitute this in the first equation)
8x = 2y + 5
8x = 2(3x - 7) + 5
8x = 6x - 14 + 5
8x = 6x - 9
6x - 9 = 8x
6x - 8x = 9
-2x = 9
x = -9/2 (this is the first coordinate, now we need to find y)
We use the second equation again:
3x = y + 7
y + 7 = 3x
y + 7 = 3(-9/2)
y + 7 = -27/2
y = -27/2 - 7
y = -27/2 - 14/2
y = -41/2 (this is the second coordinate)
This means that the solution set is the second option: {(-9/2, -41/2)}
Answer:
{(-9/2, -41/2)}
Step-by-step explanation:
The length of the garden is ____ feet.
Answers
Answer:
The width of the garden is 12 feet.
The length of the garden is 20 feet.
Step-by-step explanation:
Let l be the length and w be the width
Then according to given statements
Second equation is:
Putting l = 2w -4 in equation 2
Putting w = 12 in equation 1
Hence,
The width of the garden is 12 feet.
The length of the garden is 20 feet.
6 + 5
-6 + 5
-6 + (-5)
Answers
6 - (-5) = 6 + 5 = 11
The correct result would be 6 + 5.
Answer: 6+5
Step-by-step explanation: