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Nikolay [14]
3 years ago
12

A homeowner wants several small dormers built on his roof to admit light. They will be in the shape of isosceles triangles whose

sides will exceed their base by 5 in. If the perimeter is 100 in., what are the lengths of the three sides? The base is and the equal sides are .
Mathematics
1 answer:
Vlad1618 [11]3 years ago
4 0
P = s + (s + 5) + (s + 5) This represents the two sides that are 5 inches longer than the base (s + 5) and the base (s).
Simplifying.
100 = 3s + 10
subtract 10 from both sides
 90 = 3s
divide both sides by 3
30 = s
base = 30
sides = 35

CHECK 30 + 35 + 35 = 100

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Step-by-step explanation:

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6 0
2 years ago
A large population of variable x is characterized by its known mean value of 6.1 units and a standard deviation of 1.0 units and
scoundrel [369]

Answer:

-6.134 to +6.134

Step-by-step explanation:

given that a large population of variable x is characterized by its known mean value of 6.1 units and a standard deviation of 1.0 units and a normal distribution

X is Normal with mean  =6.1 and std dev = 1 unit

We are to determine the range of values containing 70% of the population of x

We know that normal distribution curve is bell shaped symmetrical about the mean.

So to find 70% range we can use 35% on either side of the mean

Using std normal distribution table the value of z for which probability from 0 to z is 0.35 is 1.034

Hence corresponding x value is

x=6.1+1.034*1\\x=6.134

i.e. 70% values lie between

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3 0
3 years ago
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1. Circles and segments create the many relationships addressed in the theorems throughout this unit. Use those theorems and the
jeyben [28]
(a) m<IJK = 90 since segment IK is a diameter
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8 0
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Solve the system algebraically. 2x + y - 10 = 0 x - y - 5 = 0 What is the value of y?
oksian1 [2.3K]
2x+y-10=0
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x-y=5------------------------>(2)
(1)+(2); 3x=15
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12x200=2400 so the answer is 2400
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