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prisoha [69]
3 years ago
11

Julia needs to make a box in the shape of a rectangular prism with a height of 3 inches and a volume of 243 cubic inches. The di

mensions, in inches, must be whole numbers greater than 1. Julia claims that the length and the width must be equal. Part A: What dimensions would support Julia's claim about the length and with of the box? Part B: What dimensions would not support Julia's claim about the length and width of the box. Part A length =______________ Part A width=_____________________. Part B length_________________Part B Width=_____________________.
Mathematics
2 answers:
umka2103 [35]3 years ago
7 0
The volume of a rectangular prism is equal to length*width*height. In this case, we have V = 243 and H = 3.
243 = LW(3), so LW = 81, where L & W are whole numbers greater than 1. There are only 3 possible pairs of values for this: 27*3, 9*9, and 3*27 (we cannot use 1*81 or 81*1, since we need dimensions > 1).
Part A. This could be true if Length = 9 in and Width = 9 in, as 9*9 = 81.
Part B. The claim could be false if Length = 27 in and Width = 3 in, as 27*3 = 81, but 27 is not equal to 3.
*Note that the width cannot be longer than the length.
natulia [17]3 years ago
6 0
Part A.
 sqrt 81 = 9; L = 9 ; W = 9 inches

Part B.
if length =27 , width =3, though 27*3 = 81 but then 27 is not equal 3. So false
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Whats the awnser to this question
horsena [70]
The sum of the angles of a triangle is 180º.
We have three angles:
∠yxz=3x+5
∠xzy=180º-(8x-14)
∠xyz=4x

Therefore:
(3x+5º) + [180º-(8x-14º)]+(4x)=180º
3x-8x+4x=180º-5º-14º-180º
-x=-19º
x=19º

∠yxz=3x+5º =3(19º)+5º=62º
∠xzy=180º-(8x-14)=180º-(8(19º)-14)=42º
∠xyz=4x=4(19º)=76º

Answer:  m∠yxz= 62º.
8 0
3 years ago
Alex, Bruno, and Charles each add the lengths of two sides of the same triangle correctly. They get 27 cm, 35 cm, 32 cm, respect
Vera_Pavlovna [14]

Answer:

47 cm.

Step-by-step explanation:

Alex, Bruno, and Charles each add the lengths of two sides of the same triangle correctly.

They get  27 cm, 35 cm, and 32 cm, respectively. Find the perimeter of the triangle, in cm

find:

Find the perimeter of the triangle, in cm. What is the most efficient strategy you can find to solve this problem?

<u>solution:</u>

27, 35, and 32 are each the sum of a different pair of sides of the triangle

Then 27 + 35 + 32 is the sum of all three sides, each counted twice.

Thus, 27 + 35 + 32 = 94 is twice  the perimeter

therefore,

the perimeter of the triangle is 94/2 = 47 cm.

6 0
3 years ago
Read 2 more answers
I need help with this last question.
blondinia [14]

Answer:

Step-by-step explanation:

length=1 m

base of triangle=10 m

height=5m

volume= 1/2×10×5×1=25 m cube.

slant height l=√(5²+5²)=√50=5√2

slant surface area=2[5√2×1]=10√2

area of front and back=2×1/2(10×5)=50

total surface area=50+10√2≈50+14.14≈64.14 m²

8 0
3 years ago
I know the distance from me to my destination. I ,also, know how many miles per hour, I'm going. How do I find out how long it w
MissTica
You simply need to devide the distance by the speed to get the time, so: 600÷50= 12hrs
This is only if you drive the same speed rhe whole way and do not stop. If you stopped you need to add the delay to the time.
For example: if you delayed 20 min altogether you need to add 12:00+00:20= 12:20.
6 0
3 years ago
triangle abc has the vertices A (0,10) B (4,10) C( -2,4). Find the orthocenter of ABC. A -2,-12 B 2,-12 C 12,-2 D-12,2
RUDIKE [14]
If you have listed the answer choices properly, none is correct. The orthocenter is (-2, 12).

___
See the attached figure.

4 0
3 years ago
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