Answer:
5:2
Step-by-step explanation:
35÷7= 5
14÷7=2
You get the ratio by dividing by a common multiple
the prism is filled completely, that means volume of prism = sum volume of cubes
volume of a cube =h^3, volume of each cube = 14cmx14cmx14cm=2744cm^3
volume of 2304cubes = 2304 x 2744cm^3=6322176cm^3
so the volume of prism = <span>6322176cm^3</span>
Answer:
x = -1, y = 7
Step-by-step explanation:
8x + 3y = 13
3x + 2y = 11
Multiply the first equation by -2 and the second equation by 3. Then add them.
-16x - 6y = -26
(+) 9x + 6y = 33
--------------------------
-7x = 7
x = -1
Now substitute x = -1 in the first original equation and solve for y.
8x + 3y = 13
8(-1) + 3y = 13
-8 + 3y = 13
3y = 21
y = 7
Answer: x = -1, y = 7
Answer:
I hope this makes sense, sorry for the lack of proofs.
Step-by-step explanation:
It is given that S is the midpoint of line QT. The definition of a midpoint is that it bisects the line it is on. So, line QS and line TS are congruent, or the same.
Now, we also know that line QR and line TU are parallel. Because they are parallel, it means that they form congruent corners with lines QS and TS..I think the proof here is "angles opposite to congruent sides are congruent in a triangle." But I'm not sure if this is right. Anyways, this means angles RQS and UTS are congruent.
There's also some proof that when two lines cross, the opposite angles are congruent. This means that angles TSU and QSR are congruent.
Therefore, by ASA (angle-side-angle) ΔQRS ≅ ΔTUS.
Answer:
12h < 60
Step-by-step explanation:
A rectangle, with height h and base length l, has the following area.
In this question:
So
So the correct answer is:
12h < 60
