Answer:
D
Step-by-step explanation:
its the closest to the answer i got so that must be it
Answer:
Step-by-step explanation:
The tangent segment is perpendicular to the diameter, so the triangle is a right triangle (not just based on its appearance). A property of circles is: a tangent is perpendicular to the radius drawn to the point of tangency.
In the right triangle, one leg has length 12.6, and the hypotenuse has length 21.
Apply the Pythagorean Theorem: (leg)^2 + (leg)^2 = (hypotenuse)^2
Oh, and the diameter has length 2x!
Answer:
A. P = 72 feet, A = 300 square feet
Step-by-step explanation:
✔️Perimeter = sum of all sides of the polygon = 15 + 16 + 17 + 8 + 16 = 72 ft
✔️Area of the polygon = area of a trapezoid = ½(a + b)h
Where,
a = 16 ft
b = 16 + 8 = 24 ft
h = 15 ft
Substitute
Area = ½(16 + 24)15
Area = ½(40)15
Area = 300 ft²
2x² + 13x + 15
First you multiply the first and last number, 2 · 15 = 30
Now you need to find the factors of 30 that add or subtract to +13(I added the plus sign to indicate that the factors that add/subtract to 13 must come out as positive 13)
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30 [1 · 30, 2 · 15, 3 · 10, 5 · 6]
You can do either 15 and 2 because 15 - 2 = 13, or 3 and 10 because 3 + 10 = 13.
I will be doing 10 and 3
2x² + 13x + 15 Instead of 13x, you can replace it with 3x and 10x because when you add it together it is 13x
2x² + 3x + 10x + 15 Now you can factor them out separately
x(2x + 3) + 5(2x + 3) You can factor out (2x + 3) from x and 5 to get:
(2x + 3)(x + 5)
Answer:
The options are not shown, so i will answer in a general way.
Let's define the variables:
h = number of hats
m = number of mugs.
We know that a total of 1000 items were ordered, then:
h + m = 1000
We also know that we have 3 times more mugs than hats, this can be written as:
m = 3*h
Now we have the system of equations:
h + m = 1000
m = 3*h
To solve these, we usually start by isolating one of the variables in one equation and then replace that in the other equation, but in this case, we already have m isolated in the second equation, then we can replace that in the first equation to get:
h + m = 1000
h + (3*h) = 1000
Now we can solve this equation for h, and find the number of hats ordered.
4*h = 1000
h = 1000/4 = 250
There were 250 hats ordered.
