<span>
By definition we have that the volume is given by:
</span>
<span> Where,
w: with
l: length
h: height
Substituting values we have:
</span>
<span> Rewriting:
</span>
<span> We look for the roots of the polynomial:
</span>
<span> We discard the negative roots because we want to find dimensions.
Thus, the dimensions are:
</span>
<span>
Answer:
the dimensions in inches are:
w = 10.2 inches
l = 70.2 inches
h = 18.6 inches</span>
Answer:
1/3
Step-by-step explanation:
You need to use slope formula. (the change in Y over the change in X = Slope [x1-x2/y1-y2 = slope]). I believe you can also use point slope formula, but I forgot how to do that one.
First, you would set up the equation.
7-9/-2-4 OR 9-7/4+2
you would then solve to get
-2/-6 OR 2/6
when simplified you get
1/3
for both. Hope it helps!
Answer:
17/40
Step-by-step explanation:
First let's find the least common denominator. The denominators are 8 and 25 so we need to find the least common multiple of 8 and 25.
8=2*2*2
25=5*5
Since they share no common factors the least common multiple of 8 and 25 is 8*25 which is 200.
Now we convert the fractions:
5/8*25/25=125/200
5/25*8/8=40/200
Then we subtract:
125/200-40/200=85/200
Now we simplify it:
17/40
Answer: Hello your question is poorly written attached below is the complete question
answer : 101.8
Step-by-step explanation:
Given data :
Standard deviation ( б ) = 14
55% have IQ scores > 100
45% have IQ scores < 100
<u>Determine the mean IQ score for the region</u>
P ( X > x ) =
P ( Z ≥ ( 100 - μ ) / 14 ) = 0.55 also
P ( Z ≤ ( 100 - μ ) / 14 ) = 0.45
<em>using standard normal calculator </em>
100 - μ / 14 = Z₀.₄₅ = - 0.126
<em>resolving the relation above</em>
100 - μ / 14 = - 0.126
μ = 100 - 14 ( -0.126 )
= 101.764 ≈ 101.8
Let the measure of the smaller angle be x, then the larger angle is 5 + 6x and
x + 5 + 6x = 180
7x + 5 = 180
7x = 180 - 5 = 175
x = 175/7 = 25
The larger angle is 5 + 6(25) = 5 + 150 = 155 degrees.
