Ok. Length = L, Base = B
P = 2L + 2B
We know that B = 3L or L = B/3
so that's P = 2/3B + 2B = 2/3B + 6/3B = 8/3B
Answer:
problem 1 2x+5y= 0
×=-1/2-5/2y
problem 2 y=1 3/7y y=-1.428571
7y=-10
problem 3 x=-7
problem 4 x-y=20
x=-20
From the setup of the problem, the "length of the top of the bookcase, measured along the attic ceiling" will be the hypotenuse of a right triangle, the length "AB". We have both the angle between AB and AC and the length of AC (3.24 meters), so we can use trigonometric identities.
The cosine of the 40 degree angle between AB and AC is equivalent to the length of AC divided by the length of AB. Equivalently, we have:
where "h", the hypotenuse, is the length we want. Rearranging the formula to solve for h we have that
which is 4.2295... meters. Converting to centimeters (multiplying by 100) we have that h = 422.95... centimeters, or if we round the value, h = 423 centimeters.
Hi there!
To solve this problem, we need to find the amount of classmates out of the entire class who did not choose blue as their favorite color and then convert it into a percentage.
First, let's find the fraction:
Since there are 25 total people in her class, since
6 + 9 + 10 = 25
25 is the denominator of the fraction;
Since there are 16 people who did not choose blue,
6 + 10 = 16
16 is the numerator of the fraction.
So, our fraction is 16/25.
Now, we need to convert it into a percentage. To do this, we need to make the denominator 100 by multiplying it by a certain number, and then multiplying the numerator by that same number so the fraction stays equal:
16/25
= 16*4/25*4
= 64/100
= 64%
So, the answer is 64% of Stephanie's classmates.
Hope this helps!
Based on the lengths of the given triangles and the length of segment BD, the length of segment AD is 22.20.
<h3>What is the length of segment AD?</h3>
The triangle ABC is a right angled triangle with segment AB being the hypothenuse.
We can therefore find this length using the Pythagoras Rule:
Hypothenuse ² = a² + b²
Hypothenuse ² = 28.6² + 23.2²
Hypothenuse ² = 1,356.20
Hypothenuse = √1,356.20
= 36.83
Length of AD:
= AB - BD
= 36.83 - 14.60
= 22.2
Find out more on the Pythagorean theorem at brainly.com/question/343682.
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