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3 years ago

5

Kerry has a large triangular price of fabric that she wants to attach to the ceiling in her bedroom. The sides of the piece of f

abric measure 4.8 ft, 6.4 ft, and 8 ft. Is the fabric in the shape of a right triangle? Explain.

1 answer:

kotykmax [81]3 years ago

7 0

An easy way to test this is with the equation $A^{2}+B ^{2}=C ^{2}$ this means that if you add 4.8²+6.4² does it equal 8²? if so then it is a right triangle. This is called the<span> Pythagorean theorem. So the answer is, yes it is a right triangle. </span>

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What are the coordinates of the vertices of the image of rectangle WXYZ after the transformation Ro, 90•(x,y)? W’(-4,-1)

algol13

<u>Answer:</u>

W (-1, 4) ---> W' (-4, -1)

X (-1, 2) ---> X' (-2, -1)

Y (2, 2) ---> Y' (-2, 2)

Z (2, 4) ---> Z' (-4, 2)

<u>Step-by-step explanation:</u>

We have with a rectangular figure WXYZ and we are to find the coordinates of its vertices W'X'Y'Z' after the transformation of 90° rotation.

We know that, the rule for 90° rotation of a point (x, y) gives (-y, x).

So,

W (-1, 4) ---> W' (-4, -1)

X (-1, 2) ---> X' (-2, -1)

Y (2, 2) ---> Y' (-2, 2)

Z (2, 4) ---> Z' (-4, 2)

3 0

3 years ago

fluorescent powder comes in 20 G vials with 12 vials in a set, each vilal a different color. so if I order 3 sets I will have 3

Anna007 [38]

First you need to know how many cups of powder you are going to need for the 496 cups of paint you already have

$\begin{gathered} 1\text{ CUP POWDER}\Rightarrow5\text{ CUP PAINT} \\ x\text{ CUP POWDER}\Rightarrow496\text{ CUP PAINT} \end{gathered}$

We write this as a ratio

$\begin{gathered} \frac{x}{496}=\frac{1}{5} \\ x=\frac{496}{5} \\ x=99.2 \end{gathered}$

for the 496 cups of paint you will need 99.2 cups of powder.

Continue by seeing how may grams there are in 99.2 cups

$\begin{gathered} 60g\Rightarrow0.2536\text{ CUPS POWDER} \\ x\Rightarrow99.2\text{ CUPS POWDER} \end{gathered}$

write it as a ratio and solve for x again.

$\begin{gathered} \frac{x}{99.2}=\frac{60}{0.2536} \\ x=23470.03155 \end{gathered}$

now find how many vials you will need

$\begin{gathered} 1\text{vial}\Rightarrow20g \\ x\Rightarrow23470.03155g \end{gathered}$

write the ratio and solve

$\begin{gathered} \frac{x}{23470.03155}=\frac{1}{20} \\ x=\frac{23470.03155}{20} \\ x=1173.5\approx1174 \end{gathered}$

If each sets comes with 12 sets, write the ratio and find the number of sets you will need

$\begin{gathered} 1\text{set}\Rightarrow12vials \\ \text{xsets}\Rightarrow1174vials \end{gathered}$ $\begin{gathered} \frac{x}{1174}=\frac{1}{12} \\ x=\frac{1174}{12} \\ x=97.83\approx98 \end{gathered}$

you will need 98 sets for this amount of paint.

7 0

1 year ago

Find the missing term.

igor_vitrenko [27]

Equations are used to relate equal expressions.

The missing term is: $\mathbf{ m -1}$

The equation is given as:

$\mathbf{\frac{m - n}{m^2 - n^2} + \frac{?}{(m -1)(m -n)} = \frac{2m}{m^2 - n^2}}$

Express $\mathbf{m^2 - n^2\ as\ (m - n)(m + n)}$

So, we have:

$\mathbf{\frac{m - n}{(m - n)(m + n)} + \frac{?}{(m -1)(m -n)} = \frac{2m}{(m - n)(m + n)}}$

Multiply through by $\mathbf{m - n}$

$\mathbf{\frac{m - n}{m + n} + \frac{?}{m -1} = \frac{2m}{m + n}}$

Collect like terms

$\mathbf{ \frac{?}{m -1} = \frac{2m}{m + n} - \frac{m - n}{m + n}}$

Take LCM

$\mathbf{ \frac{?}{m -1} = \frac{2m - m + n}{m + n} }$

$\mathbf{ \frac{?}{m -1} = \frac{m + n}{m + n} }$

Divide $\mathbf{ \frac{m + n}{m + n} }$

$\mathbf{ \frac{?}{m -1} = 1}$

Cross multiply

$\mathbf{ ? =(m -1)\times 1}$

$\mathbf{ ? =m -1}$

Hence, the missing term is: $\mathbf{ m -1}$

Read more about equations at:

brainly.com/question/15668451

5 0

2 years ago

Real life application of ratio and proportion???

motikmotik

Ratios and proportions tie into each other. A ratio in real life would be basically comparing two quantities, as a proportion would be solving for the similar ratio or the equal ratio to another.

6 0

3 years ago

Fill in the table using this function rule

stich3 [128]

1 = 20 (24-4(1)=20)
2 = 16 (24-4(2)=16)
5 = 4 (24-4(5)=4)
6 = 0 (24-4(6)=0)

3 0

3 years ago