Answer:
192?
Step-by-step explanation:
-16 = p ÷ [-3 + (-9)]
-16 × [-3 + (-9)] = p
-16 × - 12 = p
192 = p
Answer:
O lies on the perpendicular bisector of AB. ... Then, O' will lie on the perpendicular bisector PQ and RS. We know that, two lines cannot intersect at more than one point, So O' must coincide with O. Hence, there is one and only one circle passing through three non collinear points
Step-by-step explanation:
<span>You are given a rectangular picture measuring 8 inches by 7 inches. Also, Alistair wants this to be framed and that the total area is 34 square inches. The width of the frame is x inches. To solve the dimension of the frame with value of x we have:
We have to assume that x here will be equal to all sides of the frame and so, using the area of the rectangle, we can model the equation like this:
A = LW (where A is the area, L is the length and W is the width)
36 = (8 - x)(7 - x)
36 = 56 - 8x - 7x + x</span>²
<span>x</span>² - 15x +20 = 0 → model of our equation and in quadratic form
x² - 15x + 20 = 0
using a calculator, x = 1.48 inches
<span>
3.Use the equation you created in part A to find the width of the picture frame</span>
Answer:
104 m^2
Step-by-step explanation:
We first find the area of the rectangle
A = l*w
A = 10*8
A = 80
Then we find the area of the triangle
A = 1/2 bh
A = 1/2 (8)(6)
= 24
Then we add the areas together to find the total area
80+24 = 104
Answer:
Step-by-step explanation:
<u>Lets verify with Pythagorean:</u>
- 17² = 289
- 13² + 14² = 169 + 196 = 365
- 289 < 365
The angle opposite to a greater side is less than 90° and the sum of the squares are close.
It means all three angles<u> are less than 90°</u>.
With this the triangle is <u>acute</u>.
Correct choice is A.