One way is to estimate
1^2=1
2^2=4
3^2=9
4^2=16
5^2=25
6^2=36
7^2=49
8^2=64
the number 61 is between 49 and 64 therefor the square root of 61is between the intigers 7 and 8 or -7 and -8
Answer:
a : c = 7 : 10
Step-by-step explanation:
The two ratios (a : b and b : c) both have b in common, so to work out what a : c is, we can use b to 'bridge' the two ratios together.
However, in a : b, b is 4. But in b : c, b is 2. We need to make sure b is the same in both ratios before we can combine the ratios together. The easiest way to do this is to multiply b : c by 2 to get b : c = 4 : 10. Now b is 4 in both ratios.
So now, we can combine the two ratios together to get a : b : c = 7 : 4 : 10. Since we only want a : c though, we can just drop the b and get a : c = 7 : 10. No simplifying is necessary since the ratio is already in its simplest form.
Hope that helps! :)
Answer:
x = 25°
Step-by-step explanation:
Applying,
Sum of the angle in the triangle = 180°
From the diagram,
First angle of the triangle = 55° (vertically opposite angles are equal)
Second angle of the traingle = 180-80 = 100° (sum of the angle in a straight line)
Third angle of the triangle = x
Therefore,
x+55+100 = 180
x+155 = 180
x = 180-155
x = 25°
Answer:
19/2 or 9.5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4(x−5)(2)=36
8x+−40=36(Distribute)
8x−40=36
Step 2: Add 40 to both sides.
8x−40+40=36+40
8x=76
Step 3: Divide both sides by 8.
8x/8=76/8
x=19/2
A) as the exponent decreases by one, the number is divided by 5
B) as the exponent decreases by one, the number is divided by 4
C) as the exponent decreases by one, the number is divided by 3
D) 4⁰ = 4 ÷ 4 = 1
4⁻¹ = 1 ÷ 4 = 
4⁻² = ÷ 4 = 
E) 3⁰ = 3 ÷ 3 = 1
3⁻¹ = 1 ÷ 3 = 
3⁻² = ÷ 3 = 
