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3 years ago

Notes i

Mathematics

1 answer:

hichkok12 [17]3 years ago

4 0

Answer:

fufyfyfugwner546df6f6f6ff5f

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Daisy cut a square out of a sheet of graph paper . The square had an area of 16 square cm. She then trimmed one cm from each sid

Deffense [45]

If the area was 16cm^2 before, then each side was 4 cm long since each side of a square is equal, and the area for a square is the length of the sides squared. The square root of 16 is 4, so that is why the sides were 4 cm. When you make each side 1 cm shorter, they're now all 3 cm. 3^2 is 9, so the new area is 9 square centimeters.

3 0

3 years ago

What is the value of a?

4vir4ik [10]

Answer:

$\huge\boxed{a=\dfrac{16}{3}=5\dfrac{1}{3}}$

Step-by-step explanation:

$\triangle ZYW\sim\triangle WYX\ (AAA)\\\\\text{Therefore corresponding sides are in proportion}\\\\\dfrac{YX}{YW}=\dfrac{YW}{ZY}\\\\\text{substitute}\\\\YX=a;\ YW=4;\ ZY=3\\\\\dfrac{a}{4}=\dfrac{4}{3}\qquad\text{multiply both sides by 4}\\\\4\cdot\dfrac{a}{4}=4\cdot\dfrac{4}{3}\qquad\text{cancel 4}\\\\a=\dfrac{16}{3}$

5 0

3 years ago

Write an equation. Let x be the unknown number.

Assoli18 [71]

3-5x = -5
X =8/5
I hope this helps

4 0

3 years ago

Read 2 more answers

I need to know the area of the figure

siniylev [52]

The formula is there for area of a trapezoid.

1/2(4)(9 + 13)
2(22)
44

5 0

2 years ago

Read 2 more answers

Tim knows the volume and base area of a wooden chest that is in the shape of a rectangular prism. If the volume is 524 cubic uni

Alexandra [31]

Answer: 34.93 units

Step-by-step explanation:

The volume of a rectangular prism can be calculated with this formula:

$V=Bh$

Where "V" is the volume, "B" is the base area and "h" is the height.

Since we need to find the height, we must solve for "h":

$h=\frac{V}{B}$

We know that the volume of that wooden chest (which is in the shape of a rectangular prism) is 524 cubic units and the base area is 15 square units. Then:

$V=524units^3\\B=15units^2$

Subsitituting these values into $h=\frac{B}{V}$ , we get that the height of the chest is:

$h=\frac{524units^3}{15units^2}=34.93units$

6 0

3 years ago