A trapezoid is a quadrilateral which means the sum of the angles should be equal to 360 degrees. The other angles therefore should have the sum of 360 - 60 - 45 = 255 degrees. Since we do not have the figure it would be hard to specify the measure of each angle.
Answer:
Number of messages sent by Chau = 15
Number of messages sent by Kareem = 4 * 15 = 60
Number of messages sent by Jessica = 15 - 6 = 9
Step-by-step explanation:
Let number of messages sent by Chau = c
Number of messages sent by Kareem = 4 times as Chau
= 4 * c = 4c
Number of messages sent by Jessica = 6 fewer messages than Chau
= c - 6
Total messages = 84
<u>c + 4c + c</u> - 6 = 84 {Combine like terms}
<u>6c</u> - 6 = 84 {Add 6 to both sides}
6c = 84 + 6
6c = 90 {Divide both sides by 6}
c = 90/6
c = 15
Number of messages sent by Chau = 15
Number of messages sent by Kareem = 4 * 15 = 60
Number of messages sent by Jessica = 15 - 6 = 9
Given:
The zeros of the polynomial are 
.
Degree = 4
Leading coefficient = 1
To find:
The polynomial.
Solution:
If c is a zero of a polynomial, then (x-c) must be a factor of the polynomial.
Here, -2,4,-5, 5, are zeros of the required polynomial, so (x+2), (x-4), (x+5), (x-5) are factors of required polynomial.
![[\because a^2-b^2=(a-b)(a+b)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E2-b%5E2%3D%28a-b%29%28a%2Bb%29%5D)
Using distributive property, we get
On combining like terms, we get
Here, the leading coefficient is 1. So, it is the required polynomial.
Therefore, the correct option is E.
Answer:
Θ = 50°
Step-by-step explanation:
Using the cofunction identity
cosx = sin(90 - x)
Given
cos40° = sin(90 - 40)° = sin50° ⇒ Θ = 50°
Celia bought a bag of 12 goldfish for $3 dollar.
- Cost of 12 goldfish = $3
- Cost of 1 goldfish = $3/12 = $1/4
= $0.25
<h3><em>The </em><em>cost </em><em>of </em><em>1</em><em> </em><em>goldfish </em><em>is </em><em>$</em><em>0</em><em>.</em><em>2</em><em>5</em><em>.</em></h3>
