Check the picture below.
so.. notice, the box for the gift is really just a rectangular prism, which is really just 6 rectangles stacked up to each other at the edges.
the front and back are two 5x3 rectangles
the left and right are just two 3x7 rectangles
and the top and bottom are just two 5x7 rectangles
so, just get the area of each, sum them up, and that's the area of the rectangular prism and thus of the box, and that's how many in² she will need.
Answer:
Can not be determined (CNBD)
Step-by-step explanation:
In the given triangle ACI,
M is the mid point of CI, So we have
CM= MI
also AM=AM ( reflexive property )
So far we have two pairs of corresponding sides are congruent in ΔCAM and ΔIAM
To prove that ΔCAM≅ΔIAM using SSS (side side side ) congruence theorem
we should have AC =AI , but it is not given,so we can not say that AC=AI
To prove that ΔCAM≅ΔIAM using SAS (side angle side ) congruence theorem
we should have ∠AMC=∠AMI, but it is not given,so we can not say that ∠AMC=∠AMI
We can not determine that ΔCAM is congruent to which triangle
Hence the answer is Can not be determined (CNBD)
The volume of the original prism is given by:
V1 = (10) * (2) * (h)
rewriting:
V1 = 20h
Where,
h: height
The volume of the second prism is given by:
V2 = (5) * (w) * (h)
We know that the height is the same.
As the volume is the same then:
(5) * (w) * (h) = 20h
Clearing w we have:
w = (20/5) = 4 cm
Answer:
The width, in centimeters, of the new prism is:
w = 4cm
You can solve this in two ways.
1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.
2. Analytical. Calculate the derivative of the function f(x)
Solve the equation:
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
You get the same answer: x=-2, y=-9
So the answer is
<span>B. (-2, -9)</span>
Answer:
10 spiders and 12 ants
Step-by-step explanation:
You need to create two equations
s = # of spiders
a = # of ants
s + a = 22 heads
since each spider and ant has one head
8s + 6a = 152 legs
since every spider has 8 legs and every ant has 6
s + a = 22 can be turned into s = 22 - a
now use substitution
8(22 - a) + 6a = 152
176 - 8a + 6a = 152
176 - 2a = 152
24 = 2a
a = 12
now that you have the number of ants you can solve for the number of spiders
s + a = 22
s + 12 = 22
s = 10
