All you need to do is divide 291 by 7. If the quotient is a whole number, then 7 would be a factor of 291.
Let's test it out then, look at the picture attached.
As you can see in the picture attached, there is a remainder, so this would mean that 7 is not a factor of 291.
Answer:
Hello there
Step-by-step explanation:
<h3>
Answer: (4p^2+3)(p+2)</h3>
Work Shown:
I'm assuming you meant to write 4p^3+8p^2+3p+6
If so, then we would have these steps
4p^3+8p^2+3p+6
(4p^3+8p^2)+(3p+6)
4p^2(p+2)+3(p+2)
(4p^2+3)(p+2)
The answer would be D, she went from 0 to 20, then lost 10 points which would bring her 10 points, and then she lost an additional 25 points, bringing her to negative 15 (-15)
Answers:
x = 25 in
y = 16.3°
z = 73.7°
Explanation:
Part (a): getting the value of x:
Since the given triangle is a right-angled triangle, we can get the value of x which is the hypotenuse of the triangle using the Pythagorean theorem as follows:
(hypotenuse)² = (side1)² + (side2)²
x² = (24)² + (7)²
x² = 625
x = √625
either x = 25 in ..........> accepted
or x = -25 in .........> rejected as side length cannot be negative.
Based on the above:
x = 25 in
Part (b): getting the value of y:
Since the given triangle is a right-angled triangle, therefore, special trigonometric functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
In the given, we have:
θ = y
opposite side = 7 in
adjacent side = 24 in
Apply in the tan formula:
tan y = 7/24
y = 16.3° to the nearest tenth
Part (c): getting the value of z:
This can be solved in two ways:
Solution 1: Using angles
Sum on internal angles in a triangle is 180
90 + 16.3 + z = 180
z = 73.7°
Solution 2: Using special trig functions:
We have θ = z
opposite side = 24 in
adjacent side = 7 in
tan z = 24/7
z = 73.7° to the nearest tenth
Hope this helps :)
