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MissTica
3 years ago
9

The area of a triangle is 861 square centimeters. The length of the base is 82 centimeters. What is the height of the triangle?

Mathematics
1 answer:
aliya0001 [1]3 years ago
4 0
Area of triangle=1/2×base×height
861cm^2=1/2×81×height
861=41× height
height=861/41
Height=21cm
so height of triangle is 21cm
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What are three consecutive integers whose product is 480 more than their sum?
Natali [406]

Answer:

The three numbers are 7 8 and 9

Step-by-step explanation:

Givens

  • Let the first number be n - 1
  • Let the second number be n
  • Let the third number = n + 1

Equation

(n - 1)(n)(n + 1) - (n-1 + n + n+1) = 480

Solution

Multiply (n - 1) and (n + 1) = (n - 1)*(n + 1) = n^2 - 1

Multiply the second integer by the result of the first and third: n (n^2 - 1)

Add the three integers together: (x - 1) + (n - 1) + n = 3n  Combine these 2 steps

n(n^2 - 1) - 3n = 480 Remove the brackets

n^3 - n - 3n = 480

n^3 - 4n = 480

n^3 - 4n - 480 = 0

Graph

The graph shows that the intercept point is n =8. This is the only way I can see to solve this cubic. There are no other real roots.

Answer

n - 1 = 7

n = 8

n + 1 = 9

Check

Product 7*8*9 = 504

Sum = 7 + 8 + 9 = 24

504 - 24 = 480 Which checks.

4 0
3 years ago
49,52,52,52,55,55,74,67 find Q3
Gelneren [198K]

Answer:

Answer:

Quartile Statistics

First Quartile Q1 = 52

Second Quartile Q2 = 53.5

Third Quartile Q3 = 61

Interquartile Range IQR = 9

Median = Q2 x˜ = 53.5

Minimum Min = 49

Maximum Max = 74

Range R = 25

Step-by-step explanation:

8 0
3 years ago
Sketch a 3 by y square. Find its area in terms of y show your reasoning
user100 [1]
Well it says SQUARE so in a square all sides are equivalent so it will be 3x3 and that will hy your answer (y=3)
7 0
3 years ago
Raquel can type 63 words every minnute.Rick type then Raquel in 135 minute?Circle the letter of the correct answer.A 1350 B 4599
lozanna [386]

Answer: 1350

Step-by-step explanation:

Here is the correct question.

Raquel can type an average of 63 words per minute. Rick can type 73 words per minute. how many more words can Rick type than Raquel in 135 minutes? Jared chose B as the correct answer. How did he get that answer? Jared said the answer is 4599. How did he get that answer?

Rick's word per minute= 73

Raquel's word per minute= 63

Ricks word in 135minute= 73×135 = 9855

Raquel's word in 135 minutes=63×135 = 8505

=9855 - 8505

= 1350

Rick can type 1350 more words than Raquel in 135 minutes.

Jared's answer is wrong. He got the answer by multiplying 63 by 73 which gives 4599.

8 0
3 years ago
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Evgen [1.6K]
<u>Expression Form</u>
(3-7)*n+5
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