The mixed number that results from that problem is <u>2 </u><u>½</u>
This problem is asking you to apply the *Pythagorean Theorem*, given the information you’ve been given.
In case you’ve forgotten, the Pythagorean Theorem states that, in any given right triangle, the sum of the squares of the lengths of its legs is equal to the square of the length of its hypotenuse (the side opposite its right angle). If we call the lengths of the legs a and b, and the length of the hypotenuse c, this can be expressed in notation as a^2+b^2=c^2 (it doesn’t matter in this case which leg you pick for a and which you pick for b). Here, if we choose the left leg as a and the bottom leg as b, we’re given that a^2 (the area of a square with sides of length a) is 25 sq. in, and b is 3.5 in. Plugging those values into the equation, we have:
25 + (3.5)^2 = c^2
From here, you don’t even need to solve for c, you just need to find the value of c^2 (since you’re trying to find the area of a square with side lengths c). Just solve the left side of the equation, and you’ll have your answer in square inches.
Answer:
400
Step-by-step explanation:
40% of 7th grade is equal to 80
if 80 students from 7th grade makes up 20% then there's 400 students in the band.
Answer:
2
Step-by-step explanation:
It's 2 because 4^2 is 8 and 1^2 is 2 so that's how I got my answer
Answer:
tan (C) = 2.05
Step-by-step explanation:
Given:
A right angled triangle CDE right angled at ∠D.
Side CD = 39
Side DE = 80
Side CE = 89
We know, from trigonometric ratios that, the tangent of any angle is equal to the ratio of the opposite side to the angle and the adjacent side of the angle.
Therefore, tangent of angle C is given as:
![\tan(\angle C)=\frac{DE}{CD}](https://tex.z-dn.net/?f=%5Ctan%28%5Cangle%20C%29%3D%5Cfrac%7BDE%7D%7BCD%7D)
Plug in the given values and solve for angle C.This gives,
![\tan(\angle C)=\frac{80}{39}\\\\\tan(\angle C)=2.051\approx 2.05(Rounded\ to\ nearest\ hundredth)](https://tex.z-dn.net/?f=%5Ctan%28%5Cangle%20C%29%3D%5Cfrac%7B80%7D%7B39%7D%5C%5C%5C%5C%5Ctan%28%5Cangle%20C%29%3D2.051%5Capprox%202.05%28Rounded%5C%20to%5C%20nearest%5C%20hundredth%29)
Therefore, the measure of tangent of angle C is 2.05.