The surface area of the geometric shape is B. 840 cm².
Step-by-step explanation:
Step 1:
The given figure is made up of three rectangles and two triangles.
The surface area of the geometric shape is given by summing the individual surface areas.
The geometric shape's surface area = The sum of the individual surface areas.
Step 2:
The surface area of the rectangles is the multiplication of its length and width.
The surface area of the rectangle with length z and width x .
The surface area of the rectangle with length y and width x .
The surface area of the rectangle with length x and width x .
Step 3:
The area of a triangle is half the product of its base length and height.
The surface area of a triangle with base y and height x.
They are two similar triangles so their areas are equal
Step 4:
The geometric shape's surface area .
So the surface area is option B. 840 cm².
We know that
Applying the law of cosines
c²=a²+b²-2*a*b*cos
C------> cos C=[a²+b²-c²]/[2*a*b]
in this problem
a=7.6 in
b=8.6 in
c=7.4 in
C=angle V
cos C=[7.6²+8.6²-7.4²]/[2*7.6*8.6]----> 0.5887
C=arc cos (0.5887)--------> C=53.93°-------> C=53.9°
the answer is
angle V is 53.9°
You and a friend are buying boxes of crayons. Each box of crayons has 2 of the same color, so you decide to split the cost between the 2. y represents the cost of your half of crayons. x represents the number of crayon box halves you buy.
Answer:
The t-distribution is used.
Step-by-step explanation:
When we dont know the standard deviation of the population, we use the t-distribution(t-table).
Otherwise, the z-distribution(z-table) is used.
So the answer to this question is the t-distribution.
Answer:
-7x -1
Step-by-step explanation:
-x - (1 + 6x)
Distribute the minus sign
-x - 1 - 6x
Combine like terms
-7x -1