Answer:
2 triangles length is48 area 96
Step-by-step explanation:
Hello!
If I understood your question correctly, then we must find the volumes of the smaller and larger rectangular boxes, and we must subtract the smaller box's volume from the larger box's volume.
We must use a formula to find the volume of a rectangular prism. The formula is:
V = l × w × h
SMALLER BOX VOLUME:
V = l × w × h
V = 9 × 7 × 12
V = 63 in^2 × 12
V = 756 in^3
So, the volume of the smaller box is 756 cubic inches.
LARGER BOX VOLUME:
V = l × w × h
V = 10 × 10 × 15
V = 100 in^2 × 15
V = 1,500 in^3
So, the volume of the larger box is 1,500 cubic inches.
Now, subtract the volume of the smaller box from the volume of the larger box.
1,500 - 756 = 744
ANSWER:
The space between the two boxes that we contain Styrofoam peanuts will be 744 cubic inches.
Answer:
the domain : [-3,3[
the range : [-5,4]
Step-by-step explanation:
the domain is all the possible values for X in the function, while the range is all the possible values for Y
a. Let us say that c(x) is the cost of one t shirt based
on the number of increases therefore:
c = 10 + x
b. Say that t(x) is the number of t shirts sold based on
the number of increases so:
t = 2500 – 100 x
b. The revenue is simply the product:
r(x) = (10 + x) (2500 – 100 x)
Combining:
r(x) = 25000 – 1000 x + 2500 x – 100 x^2
r(x) = 25000 + 1500 x – 100 x^2
Taking the 1st derivative and setting dr / dx
= 0 to get the maxima:
dr / dx = 1500 – 200 x
1500 = 200 x
x = 7.5
t = 2500 – 100 x = 2500 – 100 (7.5) = 1750
Hence 1750 shirts should be sold.
<span> </span>
The first error made by Cai in his proof was: the use of an invalid reason to <em>justify </em>the congruence of a pair of sides or angles. (<em>Option A</em>)
<em><u>Recall:</u></em>
- If two triangles have two pairs of congruent sides and a pair of included side that are congruent, both triangles are considered congruent by the Side-Angle-Side Congruence Theorem (SAS).
<em>△FGH and △HIJ are shown in the diagram attached below. Also, the diagram shows the </em><em>proof </em><em>of Cai.</em>
<em />
The first error that can be noted is that Cai the reason given for stating that is false and invalid.
<HFG and <JHI are corresponding angles which makes them congruent. They are not alternate interior angles.
- Therefore, the first error made by Cai in his proof was: the use of an invalid reason to <em>justify </em>the congruence of a pair of sides or angles. (<em>Option A</em>)
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