Answer:
k = 1/2
Step-by-step explanation:
-4k-2(k)-2(-3)=-6k+8
-4k-2k+6=-6k+8
-2k+6=-6k+8
4k+6=8
4k=2
4k/4= 2/4
k=1/2
Answer:
(9
) + (4
) + (3
) + (2
) + (6
) + (
) + (5
) + (8
10) + (6
)
Step-by-step explanation:
How do you put 943,261,586 with base ten numbers
943,261,586 =
900,000,000 + 40,000,000 + 3,000,000 + 200,000 + 60,000 + 1,000 + 500 + 80 +6 =
(9
) + (4
) + (3
) + (2
) + (6
) + (
) + (5
) + (8
10) + (6
)
9514 1404 393
Answer:
24.6%
Step-by-step explanation:
The cost of the ticket in euros is ...
£222 × €1.38/(£1) = €306.36
Then the ratio of the tax to the to the total cost is ...
€100/(€306.36 +100) = 100/406.36 ≈ 24.6%
Answer:
615.44 mm²
Step-by-step explanation:
Before finding the area of the circle, first, let us find the radius of the circle.
Given that,
diameter ⇒ 28 mm
Therefore,
<h3>d = 2r</h3>
28 = 2r
Divide both sides by 2.
14mm = radius
<u> </u>
And now, let us find the area.
The formula to find the area of the circle is :
<h3>Area = π r²</h3>
Let us solve now.
Area = π r²
= 3.14 × 14 × 14
= 43.96 × 14
=<u> 615.44 mm²</u>
Answer:
174.6 ft
Step-by-step explanation:
It can be helpful to draw a diagram of the triangle we're concerned with. (See attached.)
We know the angle at the end of the shadow inside the triangle is 52°-22° = 30°. We assume the tree is growing straight up out of the hillside, so its angle with the hill inside the triangle is 90°+22° = 112°. Then the remaining angle between the shadow and the tree at the top of the tree is ...
180° -30° -112° = 38°
Now, we have the angle opposite the tree, and the angle opposite the known side length of the triangle (215 feet along the hill, AC in the diagram). This is enough information to usefully use the Law of Sines.
c/sin(C) = a/sin(A)
c = a(sin(C)/sin(A)) = (215 ft)(sin(30°)/sin(38°)) ≈ 174.6 ft
The height of the tree is about 174.6 feet.