Answer:
option d. vertical opposite angle
Answer:
66
Step-by-step explanation:
angle 1 and 4 are supplementary so the 2 added together equal 180. 180-124=56.
The sum of the triangles angles equal 180
180-56-58=66 which is the value of angle 2
Answer:
D. 140
Step-by-step explanation:
volume equals length times width times height 7 times 4 times 5 equals 140 good luck
Answer:
6050 square feet
Step-by-step explanation:
Based on the diagram attached, the area which the available fencing can enclose will measure X x Y feet. As the total length of fencing available is 220 feet, the fenced perimeter must equal 220 feet
Area of a rectangle is determined by multiplying the length of perpendicular sides:
The derivative of an equation determines the slope at any given point of that equation. At the maximum or minimum point of the equation, the slope will be zero. Therefore, differentiating the equation for area and equating it to zero will give the value of X where the area is maximum.
A simple variable can be differentiated using below concept:
Using the above concepts to differentiate Area and calculate X will give:
Calculating Y:
Calculating Area:
Answer:
700.4 cm
Step-by-step explanation:
This involves two similar triangles.
Both triangles are right triangles.
One has legs measuring 1 cm and 30 cm. We can find the hypotenuse by using the Pythagorean theorem.
(1 cm)^2 + (30 cm)^2 = c^2
c^2 = 901 cm^2
c = sqrt(901) cm
The second triangle has one leg with length 700 cm. This leg corresponds to the 30-cm leg in the other triangle. Since the triangles are similar, we can use a proportion to find the hypotenuse of the second triangle.
(30 cm)/(700 cm) = [sqrt(901) cm]/x
3/70 = sqrt(901) cm/x
3x = 70 * sqrt(901) cm
x = 70 * sqrt(901) cm/3
x = 700.4 cm
Answer: 700.4 cm
