we know that
To know the amount of ounce peanut packages that can be prepared with ounces of peanuts,
Divide by
therefore
the answer is
nearest tenth of a yard.
Answer: The other two sides measure 8.5 yards each
Step-by-step explanation: The triangle is a right angled triangle with the other two sides of equal measurement. What this means is that, one angle measures 90 degrees and the other two angles would be of equal measurement. The reason being that we have an isosceles triangle and one property of an isosceles triangle is that two sides are equal and two angles are equal. If one angle measures 90, then the other two would be measured as
(180 - 90)/2 and this equals
90/2 and that equals 45 degrees each. To calculate the length of the equal sides, we use the trigonometric ratio of sine.
(Let one of the unknown sides be A)
Sin 45 = opposite/hypotenuse
Sin 45 = A/12
By cross multiplication we now have
Sin 45 x 12 = A
0.7071 x 12 =A
8.4852 = A
To the nearest tenth
A = 8.5 yards
This means the other equal side would measure 8.5 yards as well.
Answer:
x = 5, x = -2
Step-by-step explanation:
x² - 3x - 4 = 6
Subtract: x² - 3x - 10 = 0
Find two numbers to factor: adds up to -3x, product is -10x²: -5x and 2x
Substitute: x² - 5x + 2x - 10 = 0
Factor: (x - 5)(x + 2) = 0
Solutions: x = 5, x = -2
Answer:
Step-by-step explanation:
The percent of change respect a reference value is given by the following formula:
On this case the initial value is 25800 and the final value 42600. So we can replace into the formula and we got:
So then the increase respect the initial value is 65.116%, and makes sense since: