Answer:
t = 4
Step-by-step explanation:
Substitute the variables with the information provided.
205 = 100 + 12(6) + 5(t) + 7(4) + 5(5) - 8(5)
Simplify
205 = 100 + 72 + 5t + 28 + 25 - 40
20 = 5t
t = 4
477
The value of the first 7 from the left is 70.
If you divide 70 by 10, you get the value of the second seven, 7.
Another way to know this is equivalent fractions:
1/10 = 7/10
10 X 7 = 70
1 X 7 = 7
Answer:
Two possible lengths for the legs A and B are:
B = 1cm
A = 14.97cm
Or:
B = 9cm
A = 12cm
Step-by-step explanation:
For a triangle rectangle, Pythagorean's theorem says that the sum of the squares of the cathetus is equal to the hypotenuse squared.
Then if the two legs of the triangle are A and B, and the hypotenuse is H, we have:
A^2 + B^2 = H^2
If we know that H = 15cm, then:
A^2 + B^2 = (15cm)^2
Now, let's isolate one of the legs:
A = √( (15cm)^2 - B^2)
Now we can just input different values of B there, and then solve the value for the other leg.
Then if we have:
B = 1cm
A = √( (15cm)^2 - (1cm)^2) = 14.97
Then we could have:
B = 1cm
A = 14.97cm
Now let's try with another value of B:
if B = 9cm, then:
A = √( (15cm)^2 - (9cm)^2) = 12 cm
Then we could have:
B = 9cm
A = 12cm
So we just found two possible lengths for the two legs of the triangle.
Answer:
See Explanation!
Step-by-step explanation:
When multiplying fractions, you do not need a common denominator, and the entire fraction gets multiplied across, however when adding or subtracting fractions, you must have a common denominator, and then only compute the numerator, as the bases are already the same
Answer:
Area of sector = 102.6 feet squared
Step-by-step explanation:
Given:
Radius of circle = 14 ft
Angle θ = 60°
Find:
Area of sector
Computation:
Area of sector = [θ/360]πr²
Area of sector = [60/360](22/7)(14)²
Area of sector = [1/6][22/7][196]
Area of sector = 102.6 feet squared
