Answer:
√3/10 = 0.1732
Step-by-step explanation:
√15 / 5√20 = (√5 x √3) / 5(√5 x √4) = √3 / (5 x√4) = √3 / 10
Answer:
10
Step by step explanation:
In general, if we have an equation that has just one variable, such as x, then "solving the equation" means finding the set of all values that can be substituted for the one variable to produce a valid equation.
Isolate "x" on one side of the algebraic equation by adding the negative number that appears on the same side of the equation as the "x." For example, in the equation "x - 5 = 12", rewrite the equation as "x = 12 + 5" and solve for "x."
x + (-6) + (-8) = -4
x + (-6 + -8) = -4
x + (-14) = -4
x + (-14 + 14) = -4 + 14
x = 10
Answer:
86 cm²
Step-by-step explanation:
Ok, so since 4 circles fit in the square, each circle's diameter must be 10.
Which means the radius of each circle is 5 because 10 ÷ 2 = 5.
Now we can solve for area.
A = πr²
A = 3.14 x 5²
A = 3.14 x 25
A = 78.5 cm²
78.5 cm² is the area of one circle so we multiply that by 4.
78.5 x 4 = 314 cm²
Now we subtract from the area of the square.
20 x 20 = 400 cm²
400 - 314 = 86 cm²
Answer:
x = 9
Step-by-step explanation:
Since the angle is bisected by rhe segment then the ratio of the sides to the corresponding parts of the base are equal, that is
= 
( cross- multiply )
20x = 180 ( divide both sides by 20 )
x = 9
Answer:
1 inch
Step-by-step explanation:
Factors of 63 are 7 and 9, each of which is 2 more than the dimensions of the photo. Sarah's frame is 1 inch wide.
_____
A 1-inch wide frame adds 2 inches to length and width.
_____
<em>Solution using an equation</em>
If you let w represent the width of the frame, the area of the framed photo is ...
(5+2w)(7+2w) = 63
4w^2 +24w -28 = 0 . . . . write in standard form
w^2 +6w -7 = 0 . . . . . . . . divide by 4
(w -1)(w +7) = 0 . . . . . . . . factor
The positive solution to this equation is w=1.
The width of the frame is 1 inch.
