Answer: 60
Step-by-step explanation: 5 was multiplied by 6 to get 30 so that means 10 has to get multiplied by 6 and it turns into 60
Answer:
X=3,y=-2
Step-by-step explanation:
This is a simultaneous equation question and we will have to solve using substitution method
So let's solve
y=-2x+4...(1)
y=-2....(2)
Let's substitute (2) into (1)
-2=-2x+4
Substrate 4 from both sides
-6=-2x
Divide both sides by-2
x=3
Substitute the value of x in (1)
y=-2(3)+4
y=-6+4
y=-2
Therefore x is 3,y is -2
Answer: 18.24 cm^2
Step-by-step explanation:
the two 135 degree angles indicate that the third angle (the one with the shaded region) is 90 degrees, which means that the shaded region is within 1/4 of the circle.
1. In order to find the area for that 1/4 region, you would have to find the area of the circle and divide it by 12
[r^2(3.14)]/4 pi is substituted by 3.14, and the radius is 8.
50.24 is the area of 1/4 of the circle.
2. Next you'd have to find the area of the triangle formed by the shaded region, and subtract the triangle from the area of the 1/4 circle.
the triangle is an isoceles triangle with two sides each valuing at 8cm, so to find the area of the triangle you would multiply the two sides (or square them since they're the same number) and divide by two
this means the triangle is 32 cm^2
3. we can subtract the 1/4 circle (50.24) by the area of the triangle (32) to get the area of the shaded region, which is <u>18.24 cm^2</u>
Answer:
<u>22.67 ft</u> is the height of tree.
Step-by-step explanation:
Given:
Height of a person is 68 in and casts a shadow that is 54 in long.
At the same point, a tree casts a shadow that is 18 ft long.
Now, to find the height of tree.
Let the height of tree be 
If height of a person is 68 in he casts a shadow of 54 in.
So, 68 in is equivalent to 54 in.
Thus, 
is equivalent to 18 ft.
Now, to get the height of tree by using cross multiplication method:
<em>By cross multiplying we get:</em>
<em />
<em />
<em>Dividing both sides by 54 we get:</em>
Therefore, the height of the tree is 22.67 ft.
Answer:
The answer to your question is m = -5/3
Step-by-step explanation:
Data
Point 1 = (1, -6)
Point 2 = (-8, 9)
Process
To find the slope just substitute the values in the formula and simplify.
Formula
slope = m = (y2 - y1) / (x2 - x1)
-Identify x1, y1, x2 and y2
x1 = 1 y1 = -6 x2 = -8 y2 = 9
-Substitution
m = (9 + 6) / (-8 - 1)
-Simplification
m = 15/-9
-Result
m = -5/3
