3. Rectangle DEFG was rotated on the coordinate plane.
F
D
What is the correct algebraic
representation of the rotation?
5
4
DI
G
IG
-8-7-5-5-4-3-2-1
1 2 3 7 56
NO
A. ( y, -*)
B. ( -y, x)
C. ( -x, y)
D. (x, -y)

Given:

The figure of a circle.

To find:

The measure of arc AD and measure of each arc.

Solution:

The measure of arc is equal to the central angle of that arc.

The central angle of arc AD is 105 degrees. So,

[tex]m(arc(AD))=105^\circ[/tex]

The central angle of arc BC is 35 degrees. So,

[tex]m(arc(BC))=35^\circ[/tex]

The central angle of arc CD is 50 degrees. So,

[tex]m(arc(CD))=50^\circ[/tex]

The central angle of a complete circle is 360 degrees. So,

[tex]m(arc(AD))+m(arc(BC))+m(arc(CD))+m(arc(AB))=360^\circ[/tex]

[tex]105^\circ+35^\circ+50^\circ+m(arc(AB))=360^\circ[/tex]

[tex]190^\circ+m(arc(AB))=360^\circ[/tex]

[tex]m(arc(AB))=360^\circ-190^\circ[/tex]

[tex]m(arc(AB))=170^\circ[/tex]

Therefore, the measure of arc AD is 105°, the measure of arc BC is 35°, the measure of arc CD is 50° and the measure of arc AB is 170°

Answer:

16.9°

Step-by-step explanation:

tan x = 1.7/5.6

tan^-1 x = 16.9°

Answer:

[tex]\sin V = \frac{3}{5}[/tex], [tex]\tan Y = \frac{3}{4}[/tex]

Step-by-step explanation:

If [tex]\triangle RST \sim \triangle UVW \sim \triangle XYZ[/tex], then [tex]\angle S \cong \angle Y \cong \angle V[/tex]. By Trigonometry, we have the following expressions:

[tex]\sin V = \frac{RT}{RS}[/tex] (1)

[tex]\tan Y = \frac{RT}{ST}[/tex] (2)

If we know that [tex]RT = 3[/tex], [tex]ST = 4[/tex] and [tex]RS = 5[/tex], then the results of the trigonometric relations are, respectively:

[tex]\sin V = \frac{3}{5}[/tex], [tex]\tan Y = \frac{3}{4}[/tex]

Answer:

A. the control group in an experiment

Step-by-step explanation:

Researchers give one group a new cold medicine and compare them with to a group that takes no medicine. The group that is not given any medicine is the control group in an experiment.

Researchers are those who do research on something i.e. systematics and deep investigation into something.

Control Group is that group in research which does not take any medication or untreated group.

During the research while a new type of medicine is to be tested, the group that receives the medication or being tested is called the experimented group and the group that does not receive the treatment  is called the control group.

Hence, we can say that the group that is not given any medicine is the control group in an experiment.

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Answer:

Where are the answers

Step-by-step explanation:

Answer:

65 degrees

Step-by-step explanation:

90 + 90 + 115 + x = 360

x= 65

Answer:

L = πr

Step-by-step explanation:

Formula for calculating the length of an arc is expressed as:

L = theta/360 × 2pir

The angle substended by the semi circle is 180°

Substitute the given values

L = 180/360×2πr

L = 1/2 × 2πr

L = πr

Hence the length of the arc of a semi circle in terms of pi is L = πr where:

r is the radius of the semi circle

Answer:

7/24

Step-by-step explanation:

Step-by-step explanation:

pls click on the pic for full answers

Let's solve this step-by-step. Here it is.

5x²+7x=x²+2

Step 1: subtract 2 from both the left and right side.

5x²+7x-2=x²+2-2

Simplify.

5x²+7x-2=x²

Step 2: subtract x² from each side.

5x²-x²+7x-2=x²-x²

Simplify.

4x²+7x-2=0

Step 3: solve using the quadratic formula.

[tex]x_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\cdot \:4\left(-2\right)}}{2\cdot \:4}[/tex]

[tex]x_1=\frac{-7+9}{2\cdot \:4},\:x_2=\frac{-7-9}{2\cdot \:4}[/tex]

[tex]x=\frac{1}{4},\:x=-2[/tex]

Hope this helps!

Step 2: Factor the left side of the equation.

Answer:

15 people

Step-by-step explanation:

ez maths:

300 (total) divided by 20 (parts available) = how many people can sit at said part (15)

Answer:

Each section can hold 15 people.

Step-by-step explanation:

[tex]\frac{1}{y}=\frac{20}{300}[/tex]

y × 20 = 300 × 1

20y = 300

20y ÷ 20 = 300 ÷ 20

y = 15

Answer: 7

Step-by-step explanation:

Answer:

[tex]m(DAB)=228^o[/tex]

[tex]m[/tex]∠[tex]BCD=48^o[/tex]

[tex]m[/tex]∠[tex]ABC=123^o[/tex]

Step-by-step explanation:

[tex]Given:[/tex]

m∠BAD=66°

m BD =2(m∠BAD)

= 2(66)

m BD=132°

m DAB= 360° - 132°

m(DAB) = 228°

-------------------

m∠BCD= 1/2(m DAB -m BD)

= 1/2(228- 132)

m∠BCD= 48°

-------------------

m∠ABC= 360-(66+48)/2

= 360 -114/2 = 246/2

m∠ABC=123°

----------------------------------

hope it helps...

have a great day!!

Answer:

w= -5

Step-by-step explanation:

Isolate "w":

Answer:

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n . The expression is read as the sum of 4n as n goes from 1 to 6 .

Step-by-step explanation:

I hope it's help u

Answer:

the answer is B

Step-by-step explanation:

i got your back

Answer:1.75

for each gallon we need to find the rate of each.So 7 gallons takes 4 cups.We will divide the 7 gallons over the 4 cups.

7/4=1.75

1.75 cups of lemonade for each gallon

The appropriate hypotheses for this test are

p = 0.75 for Null Hypothesis.

p > 0.75 for Alternative Hypothesis.

Given that,

According to a soccer coach, 75% of soccer players have had at least one sprained ankle.

Null Hypothesis (H₀):

The true proportion of college soccer players who have had at least one sprained ankle is equal to 75% is,

p = 0.75

Alternative Hypothesis (Ha):

The true proportion of college soccer players who have had at least one sprained ankle is greater than 75%.

p > 0.75

Here, We are testing if the true proportion is greater than 75%, so the alternative hypothesis should reflect that.

The null hypothesis assumes the proportion is equal to 75%.

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Answer: 13

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

For 66% of a number is 72, The value of 11% of number is,

⇒ 12.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

There are 66% of a number is 72.

Now, We can assume that;

Let a number = x

Then, We can formulate;

⇒ 66% of x = 72

⇒ 66/100 × x  = 72

⇒ 66x = 72 x 100

⇒ 66x = 7200

⇒ x = 7200 / 66

⇒ x = 109.1

Thus, We can formulate;

⇒ 11% of 109.1

⇒ 11/100 × 109.1

⇒ 12

Therefore, For 66% of a number is 72, The value of 11% of number is,

⇒ 12.

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Answer:

2/5

Step-by-step explanation:

.4 is 40% out of a 100 so it is 2/5

Answer:

4 over 10

Step-by-step explanation:

the .4 is in the 10 place in the destimal sot here forever when u make it a fraction it would be ⁴/10

Answer:

You can figure out the area of the rectangle and aproximate

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

I think it is 360 because if you split it into two part and you plot the top and motte number you get 8 for the top and 10 for the bottom so 18 times ten is 180 and 180 times 2 is 360

Answer:

c

Step-by-step explanation:

dfghfghj

Answer:

Let the three consecutive numbers be x,x+1,x+2 . The numbers are: 23,24,and25 and the smallest one is 23

Step-by-step explanation:

Answer: (x-1) + (x) + (x+1) = 72; smallest number is 23.

Step-by-step explanation:

The numbers are consecutive, meaning they sit next to each other on a number line. For example 4, 5, 6.

Because they are three consecutive numbers, their average will be the value of the middle one. For example the average of 4, 5, 6 is 5.

Knowing this, we can divide 72 by three to get the value of the middle number.

72/3 = 24, so the middle number is 24.

The numbers that fall either side of 24 on the number line are 23 and 25, so the three consecutive numbers are 23, 24, 25.

You can also set up and solve the equation: (x-1) + (x) + (x+1) = 72 because the numbers are consecutive.

To solve, combine like terms. The (-1) and (+1) cancel out and the equation becomes 3x = 72.

72/3 = 24, so x = 24, and the smallest term, (x-1) = 23.

Answer: D

Step-by-step explanation:

Plug in 0 for each variables in the equation and see which one holds true

Hope this helps

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Let's simplify step-by-step.

5x^3 + 3 + 2x^3 − x^2 + 1

= 5x^3 + 3 + 2x^3 + −x^2 + 1

Combine Like Terms:

= 5x^3 + 3 + 2x^3 + −x^2 + 1

= ( 5x^3 + 2x^3 ) + ( −x^2 ) + ( 3 + 1 )

= 7x^3 + −x^2 + 4

Answer:

= 7x^3 − x^2 + 4

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<33<3<3<3<3

Answer:

94640

Step-by-step explanation:

when you use a scientific calculator