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3 years ago

Simplify the expression 3(-3y+2x) combine like terms a+3a-b+4b+c

Mathematics

1 answer:

Brums [2.3K]3 years ago

5 0

The top answer to 3(-3y+2x) would be -9y+6x.The bottom would be 4a+3b+c

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Clara writes the following proof for the theorem: If the diagonals of a quadrilateral bisect each other, the quadrilateral is a

zheka24 [161]

Answer:

CPCTC

Step-by-step explanation:

Statements 3 and 4 show the top and bottom triangles are congruent, and the left and right triangles are congruent. Statement 5 is making use of these facts to claim that the alternate interior angles are congruent. This claim is valid because ...

Corresponding Parts of Congruent Triangles are Congruent (CPCTC)

7 0

3 years ago

Write this sentence as a conditional <br><br> "a regular hexagon has exactly 6 congruent sides."

Evgesh-ka [11]

“if it is a regular hexagon, then it has exactly 6 congruent sides.”

“it is a hexagon” being your hypothesis (p)
“it has exactly 6 congruent sides” being your conclusion (q).

hope this helps :)

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3 years ago

The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1

marshall27 [118]

Answer:

<h3><u>Cylinder</u></h3>

$\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

r = 6 cm

h = 18 cm

$\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}$

$\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}$

Given:

x = 8 cm

$\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}$

<h3><u>Volume available to be filled with water</u></h3>

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

1 litre = 1000 cm³

⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder. Therefore, the water will <u>not</u> come over the top of the container.

4 0

2 years ago

The recycling bin for the school is in the shape of a rectangular prism. The bin has a length of 16 inches, a width of 14 inches

Romashka [77]

Answer:

3150 inches is the volume

Step-by-step explanation:

i hoped this helped

3 0

3 years ago

In △ABC, a=31, b=22, and c=18. Identify m∠A rounded to the nearest degree. HELP ME PLEASE!!

4vir4ik [10]