Answer:
Step-by-step explanation:
We are given an isosceles triangle. We need to remember the important rule that the base angles are equal. In this question we need to find the value of 'x' using a perpendicular height of 3 and a base length of 4. In this question we can half the triangle in half to help us find the value of x. Also we need to use Pythagoras theorem to help us find 'x'. Pythagoras states that a² + b² = c² so we want to find the hypotenuse of the triangle. If we half the triangle we get 2 triangle both with a base length of 2 and a perpendicular height of 3 so,
⇒ State Pythagoras theorem
→ a² + b² = c²
⇒ Substitute in the values
→ 3² + 2² = c²
⇒ Simplify
→ 9 + 4 = c²
⇒ Simplify further
→ 13 = c²
⇒ Square root both sides to find the value of 'c'
→ = c
The value of x is the square root of 13
<span>200 < 225 + 80x < 550
The 200 is the amount the Jenna currently have.
225 + 80x is the amount that Jenna has to pay given x number of hours.
550 is the sum of Jenna's 200 and additional 350 she can get by selling pre-ordered Cds. This is the maximum amount she can pay for the studio rental and sound technicians.
225 + 80x < 550
80x < 550 -225
80x < 325
80x / 80 < 325/80
x < 4.06 or 4 hours
225 + 80x </span>→ 225 + 80(4) = 225 + 320 = 545
<span>
The number of hours for the sound technician will range from 1 hour to 4 hours.
Assuming they will use 6 hours.
225 + 80(6) = 225 + 480 = 705
705 - 550 = 155
Jenna has to raise an additional $155 to pay off the studio rent and 6 hours of sound technicians.
</span>
Answer:
No
Reasoning:
If something is a perfect cube, it is able to be put under a cube root (![\sqrt[3]{..}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B..%7D)
) and will result in an integer (a non-decimal number > 0, basically).
So let's calculate ![\sqrt[3]{48}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B48%7D)
, and see if the result is an integer.
= 3.634.......
As you can see, the result is not an integer, therefore 48 is not a perfect cube.
Answer:
C
Step-by-step explanation:
X vertex = (0, - 3)
ax² + bx + c = y
0.x² + b.0 + c = - 3
c = - 3
Then:
The graphic of g(x) is the a one is negative, because the curve is below.
Then:
g(x) = - x² - 3
I hope I've helped you.
I hope you understand my English ^^
Answer:
m<3 = 66°
Step-by-step explanation:
<3 is an angle with its vertex inside the circle shown in the diagram. This, it's an internal angle.
The measure of an internal angle is equal to half the sum of the measure of the arcs intercepted.
Thus, the equation that shows relationship between <3 and arc WX and arc YZ is shown below:
m<3 = ½(40 + 92)
m<3 = ½(132)
m<3 = 66°
