Answer:
3x - 8 = 2x + 12
(vertical angles)
x = 20
A straight line = 180 degrees,
so 3(20)-8=52
52+128 = 180
so y is 128.
Because x,y,z form a geometric sequence, therefore the common ratio is
r = y/x = z/y
That is,
y² = xz (1)
We are given:
x + y + z = 18
Therefore
x + z = 18 - y (2)
Also,
x² + y² + z² = 612
Therefore, from (1), obtain
x² + z² + xz = 612
(x + z)² - xz = 612
From (1) and (2), obtain
(18 - y)² - y² = 612
324 - 36y + y² - y² = 612
-36y = 288
y = -8
Answer: y = -8
Answer:
The length of river D is 2550
length of river C is 2550+500=3050
Step-by-step explanation:
Let the river D be 'x'
and the river C is (x+500)
x + x + 500 = 5600
2x + 500 = 5600
2x = 5600 - 500
2x = 5100
x = 5100/2
x = 2550
The length of river D is 2550
length of river C is 2550+500=3050
Answer:
Step-by-step explanation:
Given the information of the conical hat
- diameter of 16 inches => Radius = 8 inches
- height of 9 inches
=> the slant height of the hat is (use Pythagorean Theorem)
=
<=>
=
<=> s =
The area (without the base area) of tissue paper will she need to make one hat is:
SA = πrs in2
<=> SA = π*8*
in2
<=> SA =8
π
=> the total tissue paper will she need for 21 hats is:
SA*21
= 8
π*21
= 6352,18 in 2
Split the triangle into a 30-60-90 triangle. Since you have LM from that triangle, you can figure out the other sides. Then, using the leg from that triangle, the one next to it is a 45-45-90 triangle, meaning it's isosceles.
KM = 30 + 10√3
KL = 10√6
(sorry i'm not too sure if my "reasons" for statement/reason is correct)