All categories

3 years ago

HELP HELP PLEASE!! D: Determine the missing side length: Please don't give cap!

Mathematics

1 answer:

viktelen [127]3 years ago

8 0

Answer:

c = 35

Step-by-step explanation:

$c^{2} = a^{2} + b^{2}$

$c^{2} = 21^{2} + 28^{2}$

$c^{2} = 1225$

$\sqrt{c^{2} } = \sqrt{1225}$

$c = 35$

You might be interested in

What plus what equals 360

NISA [10]

350 plus 10?
that equal or do tey want something more extreme

7 0

3 years ago

Read 2 more answers

Determine the converse of the conditional statement: If my mom has to work, then I babysit my little sister.

Maksim231197 [3]

If I babysit my little sister, my mom has to work.

8 0

3 years ago

Read 2 more answers

Item 15 Question 1 Show that quadrilateral WXYZ with vertices W(−1,6), X(2, 8), Y(1, 0), and Z(−2,−2) is a parallelogram by find

Aliun [14]

Answer:

Multiple answers

Step-by-step explanation:

A parallelogram is a flat shape that has four sides. The two sets of opposite sides are parallel and of equal length to each other.

To prove that our figure is a parallelogram we first get the slope of our sides.

The formule we use to get the slope is:

m = $\frac{y-y1}{x-x1}$

first we have the W-Z side that it's supossed to be parallel to X-Y side

if we use our formule to calculate the slope of W-Z:

$\frac{6-(-2)}{-1-(-2)}$ = $\frac{8}{1}$ = 8

if we use our formule to calculate the slope of X-Y:

$\frac{8-0}{2-1}$ = $\frac{8}{1}$ = 8

We know that parallel lines will never intersect because they have the same slope, therefore W-Z side is parallel to X-Y side

2. Then we have the W-X side that it's supossed to be parallel to Z-Y side

if we use our formule to calculate the slope of W-X:

$\frac{6-8}{-1-2}$ = $\frac{-2}{-3}$

if we use our formule to calculate the slope of Z-Y:

$\frac{-2-0}{-2-1}$ = $\frac{-2}{-3}$

We know that parallel lines will never intersect because they have the same slope, therefore W-X side is parallel to Z-Y side

Then we have to prove that the parallalel sides are equal length to each other.

The formule we use to get the distance between two points is:

$\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }$

We calculate the lenght of the W-Z side that it's supossed to be equal to X-Y side:

W-Z = $\sqrt{(-1-(-2))^{2}+(6-(-2))^{2} }$ = $\sqrt{65}$

X-Y = $\sqrt{(2-1)^{2}+(8-0)^{2} }$ = $\sqrt{65}$

So the W-Z side have the same lenght to X-Y side.

We calculate the lenght of the W-X side that it's supossed to be equal to Z-Y side:

W-X = $\sqrt{(-1-2)^{2}+(6-8)^{2} }$ = $\sqrt{13}$

Z-Y = $\sqrt{(-2-1)^{2}+(-2-0)^{2} }$ = $\sqrt{13}$

So the W-X side have the same lenght to Z-Y side.

6 0

3 years ago

Work out the volume of this prism.

aniked [119]

Answer:

Volume = 175 cm³

Step-by-step explanation:

We can picture this image as a whole rectangular prism, with a part that has been cut out of it.

Step 1: Volume of original prism

We are going to solve the volume of the original prism, with the dimensions of 9, 7, and 5

V = 9 * 7 * 5
V = 315

Step 2: Volume of part cut out

We are solving the volume of that part that has been cut out ( missing space)

V = 5 * (9-2) * (7-3)
V = 5 * 7 * 4
V = 140

Step 3: Total Volume

Now we just subtract the cutout part from the original volume

315 - 140
V = 175

Volume = 175 cm³

Note, we could have also found the volume by splitting this shape into two prisms with dimensions (9 * 3 * 5) and (4 * 5 * 2). This way would also get us:

V = (9 * 3 * 5) + (4 * 5 * 2)
V = 135 + 40
V = 175

-Chetan K

7 0

2 years ago

Give the coordinates of point A?

katen-ka-za [31]

Answer:

(-2,-5)

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers