Let h = height of triangle
h^2 + 12^2 = 15^2
h^2 + 144 = 225
h^2 = 225 - 144
h^2 = 81
sqrt{h^2} = sqrt{81}
h = 9 cm
For part B, we need to find surface area because it represents the perimeter of this 3-D figure. The formula needed is SA = B + LA.
1. First find the lateral area.
LA = perimeter of triangle • height
LA = ph
p = 15 + 15 + 24
p = 30 + 24
p = 54 cm
LA = (54)(9)
LA = 486 cm^2
2. We now find the base of each triangle. This is found by finding the area of each triangle and multiplying by 2.
A = (1/2)bh
A = (1/2)(24)(9)
A = 108 cm^2
A = 2•108 cm^2
A = 216 cm^2 = our B in the surface area formula.
SA = B + LA
SA = 216 cm^2 + 486 cm^2
SA = 702 cm^2
The amount of cardboard needed is 702 cm^2.
Answer:
x = 399 new subscribers
Step-by-step explanation:
Let 420 = 100%
x = 95%
420*95 = 100x
x = 420*95/100
x = 399 new subscribers
The unit of time that will make the statement true is "day"
<h3>What unit of time will make the statement true?</h3>
The conversion equation is given as:
Seconds + Seconds/? * day = seconds
Represent the blank with a variable (x)
So, we have:
Seconds + Seconds/x * day = seconds
Subtract "seconds" from both sides of the equation
So, we have:
Seconds/x * day = seconds
Divide both sides of the equation by "seconds"
So, we have:
1/x * day = 1
Multiply both sides by x
x= day
Hence, the unit of time that will make the statement true is "day"
Read more about time at:
brainly.com/question/17146782
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Answer:
40 feet
Step-by-step explanation:
the diameter is just Rx2 (R being the radius)
The greatest common factor of 12, 78, and 90 is 6.
Factors are the numbers, that when multiplied with another number, equal the product.
Factors of 12: 1, 2, 3, 4, 6, and 12.
Factors of 78: 1, 2, 3, 6, 13, 26, 39, and 78.
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 20, 45, and 90.
The Greatest Common Factor is the highest factor shared among the products. Thus proving 6 is the GCF.
I hope this helps!
