Answer:
25 square yards
Step-by-step explanation:
We assume that "fits neatly" means "fills" so that the area of the painting is the same as the area of the square. Put the numbers in the formula and do the arithmetic.
A = (5 yd)² = 5² yd² = 25 yd²
Answer:
5
Step-by-step explanation:
If 3.5 cups of flour makes 7 servings, then 0.5 cups of flour are needed for each serving if you divide 3.5 by 7, 10 times 0.5 is equal to 5.
Answer:
y = √-1040/7
Step-by-step explanation:
The equation of a unit circle is expressed as;
x²+y² = 1
Given the coordinate of P = (-33/7, y)
Substitute the coordinate into the give expression and find y;
(-33/7)²+y² = 1
Expand
y² = 1-(-33/7)²
According to difference of two square
y² = (1+(-33/7))1-(-33/7))
y² = (1-33/7)(1+33/7)
y² = -26/7(40/7)
y² = -1040/49
y= √-1040/49
y = √-1040/√49
y = √-1040/7
Hence the value of y is y = √-1040/7
Answer:
One
Step-by-step explanation:
Find the value of B
Applying the law of sines
= 
substitute the given values
= 
sin (B) = 
Sin(61)
step 2
Find the measure of angle C
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
61 + 65.87 + C = 180
C = 53.13
step 3
Find the value of c
Applying the law of sines
= 
substitute the given values
= 
c = SIN (53.13)
C=21.04 units
so
there can only be one value for each measurement, therefore there can only be one triangle
Let the time he spent bicycling at 11 mph be x and the time spent bicycling at 15 mph be y, then
x + y = 60 . . . (1)
7x + 11.75y = 600 . . . (2)
(2) x 7 => 7x + 7y = 420 . . . (3)
(2) - (3) => 4.75y = 180
y = 180 / 4.75 = 38
x = 60 - 38 = 22
Therefore, he should bicycle 22 minutes at 11 mph and 38 minutes at 15 mph.
