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r-ruslan [8.4K]
3 years ago
11

Which ones are greater than the other

Mathematics
1 answer:
irakobra [83]3 years ago
6 0

1. 0.91<0.93; 0.91 is farther away from the whole number 1 so it is less than 0.93.

2. 0.5=0.50; 0.5 and 0.50 are the same, since the decimal can be written with or without the zero.

3. 1.08<1.6; 1.08 is farther away from the whole number 2, so it is less than 1.6.

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In the figure, polygon ABCD is dilated by a factor of 2 to produce A′B′C′D′ with the origin as the center of dilation. Point A′
emmasim [6.3K]

You did not attach any picture to solve this problem. We cannot calculate for the value of A’ and D’ without the correct graph. However, I think I found the correct graph (see attached), please attach it next time.

So we are given that the figure is dilated by a factor of, meaning that all of its end points are multiplied by 2. By this rule, all we have to do is to simply multiply the initial coordinates of A and D by 2 to get A’ and D’, that is:

A’ = (-1 * 2, -1 * 2) = (-2, -2)

<span>D’ = (2 * 2, -1 * 2) = (4, -2)</span>

3 0
3 years ago
Show that <br>sinx/1+cosx=tanx/2​
hammer [34]

Answer:

See proof below

Step-by-step explanation:

show that

sinx/1+cosx=tanx/2​

From LHS

sinx/1+cosx

According to half angle

sinx = 2sinx/2 cosx/2

cosx = cos²x/2 - sin²x/2

cosx = cos²x/2 - (1- cos²x/2)

cosx = 2cos²x/2 - 1

cos x + 1 = 2cos²x/2

Substitute into the expression;

sinx/1+cosx

= (2sinx/2 cosx/2)/2cos²x/2

= sinx.2/cos x/2

Since tan x = sinx/cosx

Hence sinx/2/cos x/2 = tan x/2 (RHS)

This shows that sinx/1+cosx=tanx/2​

7 0
3 years ago
B. Find the width of a rectangle if its length is 5 more than the width and its perimeter is 90 cm.
BartSMP [9]

Answer:

Width is 20cm

Step-by-step explanation:

Step one:

Given data

let the width be x

W= x

L= x+5

P= 90

Step two:

The expression for the perimeter is

P= 2L+2W

90= 2*x+2(x+5)

90= 2x+2x+10

collect like terms

90-10=4x

80= 4x

divide both sides by 4

x= 80/4

x= 20

8 0
3 years ago
If you are trying to conduct an experiment by taking a random sample of home owners, which of the groups below should NOT be inc
Artemon [7]

Answer:

A & D for sure. Probably B

Step-by-step explanation:

Students don't own their homes. Homeowners in your neighborhood might not meet the definition of Random.

3 0
3 years ago
Read 2 more answers
Calculate the discrimination to determine the number of real roots
Brrunno [24]
Replace <span>y</span> with <span>0</span> and solve for <span>x</span>.<span>x=−<span><span>3−3i<span>√3</span></span>2</span>,−<span><span>3+3i<span>√3</span></span><span>2

there is 2 real roots!</span></span></span>
8 0
3 years ago
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