Answer:
507 ft²
Step-by-step explanation:
the area (A) of a circle is calculated as
A = πr² ( r is the radius )
given diameter = 26 then r = 26 ÷ 2 = 13 , so
A = π × 13² ≈ 3 × 169 = 507 ft²
17 x 5 = 85...............
Answer:
Below.
Step-by-step explanation:
f(x) = |x| This is shaped like a V with the vertex at (0,0).
f(x) = |x| + 3 this is also shaped live a V with the vertex at (0, 3).
(This is |x| translated up 3 units).
f(x) = |x| - 6 similar to the above with the vertex at (0, -6).
(This is |x| translated down 6 units).
5x + 10 10
---------- = -------
121 11
make the bottom have same common denominator
10/11 x (10/10) = 100/121
Get rid of the denominator (for both now have 121 as a base)
5x + 10 = 100
5x + 10 (-10) = 100 (-10)
5x = 90
5x/5 = 90/5
x = 18
x = 18 is your answer
hope this helps
Answer:
Not sure for 1. Area might be 144. Perimeter might be 50. I got perimeter by finding slant height of the parallelogram and then substituting it to the perimeter formula (P=2(a+b) where a is a side and b is a base). I found area by just multiplying 12*12 since to find area of parallelogram, it is base x height.
2. 45, 135, 135
Step-by-step explanation:
2. We know that an isosceles trapezoid has congruent base angles and congruent upper angles, so if one base angle measures 45 degrees, the other base angle will also be 45 degrees.
For the upper angles, we know that diagonal angles are supplementary, so 180- base angle 1 (45 degrees)= upper angle 1
180-45=upper angle 1
upper angle 1 = 135 degrees
Mentioned above, upper angles are congruent, so upper angles 1 and 2 will be 135 degrees.
Check: The sum of angles in a quadrilateral is equal to 360 degrees. We can use this to check if our answer is correct.
135+135=270 degrees (sum of upper angles)
45+45= 90 degrees (sum of base angles)
270+90=360
So the angle measures of the other three angles are 135, 135, and 45.
Hope this helps!
