Answer:
8.4in²
Step-by-step explanation:
We are given the dimensions of a box as :
7in = Height
6in = Length
2in = Width
The volume of a box = Length × Width × Height
Volume of a box = 7in × 6in × 2in
= 84in²
We are also told in the question to find the volume of the box if it is scaled down by a factor of 1/10
Hence,the new volume = 84in² × 1/10
= 8.4in²
Therefore, the volume of the box if it is scaled down by a factor of 1/10 is 8.4in²
(-2,-8) is what I got after reflecting it off the y=x line.
Answer:
arc BC = 140
Step-by-step explanation:
Comment
Pick a point inside the circle. It should look like this point is the center of the circle. Call this point D. Draw lines CD and BD
CD makes a right angle with AC
BD makes a right angle with AB
The central angle formed by The given information above is
<BDC = 360 - 90 - 90 - 40
<BDC = 140.
Answer The arc measurement of BC = 140
Answer: It will one year (or 12 months) before Michael is able to ride the roller coaster.
Step-by-step explanation: Because he grows a half inch every month, this means that It takes him two months to grow one full inch. Because he has to grow six inches, you just multiply 2 by 6 to get 12 months or one year.
Answer:

Step-by-step explanation:
The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).
Use the opposite angles in an inscribed quadrialteral theorem,
<A + <C = 180
Substitute,
14x - 7 + 8z = 180
Simplify,
22z - 7 = 180
Inverse operations,
22z = 187
z = 
Simplify,
z = 
Now substitute the value of (z) into the expression given for the measure of angle (<B)
<B = 10z
<B = 10(
)
Simplify,
<B = 85
Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)
<B + <D = 180
Substitute,
85 + <D = 180
Inverse operations,
<D = 95