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Lana71 [14]
3 years ago
7

This is easy but I forgot how to solve unit rate plz help and show work number 1

Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0
The formula for unit rate is blank over blank = x over one. She types 496 words in 8 minutes, otherwise said "496 words per 8 minutes", which means its 496 over 8. If you do cross multiplication, 496*1 = 496 (Obviously) and 8*x = 8x.

Now, you have 496 = 8x. To isolate the variable, do the opposite of what it says 8x divided by 8 = x. Of course, you have to do the same thing on both sides. 496 divided by 8 is 62. so the unit rate is 62 words per minute.
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In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th.
lawyer [7]

Answer:

Solution given:

Y=90°

∠X=73°.

∠ZWY=80°

and XW=80.

ZY=?

We know that

In right angled triangle ∆ XYZ

Tan 73=\frac{p}{h}

3.27=\frac{yz}{xy}

3.27×[xy]=yz

xw+wy=\frac{yz}{3.27}

wy=\frac{yz}{3.27}-80...........(1)

again

In right angled triangle WYZ

Tan 80=\frac{yz}{wy}

5.67×wy=yz

wy=\frac{yz}{5.67}

yz=5.67×wy............................................(2)

E<u>q</u><u>u</u><u>a</u><u>t</u><u>i</u><u>n</u><u>g</u><u> </u><u>equation</u><u> </u><u>1</u><u>&</u><u>2</u>

\frac{yz}{5.67}=\frac{yz}{3.27}-80

\frac{yz}{3.27}-\frac{yz}{5.67}=80

5.67yz-3.27yz=80*5.67*3.27

2.4yz =1483.272

yz=\frac{1483.272}{2.4}

yz=618.03

:.y=618.03unit.<u>the length of ZY to the nearest 100</u><u>th</u><u> </u><u>is</u><u> </u><u>6</u><u>1</u><u>8</u><u>.</u>

8 0
3 years ago
Matrix question help needed
kramer

The required matrix is:

\left[\begin{array}{ccc}-25&17&0\\8&-1&3\\\end{array}\right]

Step-by-step explanation:

We need to apply elementary row operation -2R₂+3R₁ tothe matrix:

A=\left[\begin{array}{ccc}-3&5&2\\8&-1&3\\\end{array}\right]

Multiplying Row 2 with -2 and Row1 with 3 and adding,

-9 15 6

-16 2 -6

----------

-25 17  0

After applying this operation, Row 1 will be changed while Row 2 will remain same because we get -2R₂+3R₁ -> R₁

The required matrix is:

\left[\begin{array}{ccc}-25&17&0\\8&-1&3\\\end{array}\right]

Keywords: Matrices, elementary row operation

Learn more about matrices at:

  • brainly.com/question/4464845
  • brainly.com/question/8301701

#learnwithBrainly

6 0
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