Answer:
4
Step-by-step explanation:
Given that 
Now, 
This can be written as
[as 
]
[ by using equation (i)]
=4
Hence, 
Answer:
Step-by-step explanation:
The measure of angle a is twice the measure of angle b. This means that
a = 2b
The measure of angle c is at least one degree more than the measure of angle a. This means that
c ≥ a + 1
c ≥ 2b + 1
if the sum of the three angles is at least 61 degrees, it means that
a + b + c = 61 - - - - - - - - - - - - - 1
Substituting a = 2b and c = 2b + 1 into equation 1, it becomes
2b + b + 2b + 1 = 61
5b = 61 - 1 = 60
b = 60/5 = 12
c ≥ 2× 12 + 1
c ≥ 25
25 ≥ a + 1
25 - 1 ≥ a
24 ≥ a
a ≤ 24
Therefore, the range possible measurements for angle b is
b ≤ 12
Answer:
Step-by-step explanation:
12.5= 25/2
Ln (25/2).. change decimal to fraction
Ln ((5^2)/2)...change 25 to 5^2
(2ln 5)/2... log rule.. move exponent to the front
Ln 5 .. . Simplify the top and bottom 2's
Answer:
Height = w + 4
Step-by-step explanation:
3w³ + 16w² + 16w = w (3w² + 16w + 16)
= w (3w + 4) (w + 4)
The length of a rectangular prism is 4 more than 3 times the width, w
L = 3w + 4
R prism volume = L x W x H
Height = w + 4
Let the integers be x + (x+1) + (x + 2)
<span>x + (x+1) + (x + 2) = 267 </span>
<span>3x + 3 = 267 </span>
<span>3x = 264 </span>
<span>x = 88 </span>
<span>88+89+90=267 </span>
<span>Largest integer=90 </span>
<span>Another method </span>
<span>267/3 = 89 </span>
<span>It's the average,so it has to be the middle one. </span>
<span>Thus 89, then I took 89 - 1 = 88 and 89 + 1 = 90 and just put them in order. </span>
<span>88+89+90=267 </span>
<span>Largest integer=90</span>
