∠A and ∠B are complementary. Find m∠A and m∠B.
m∠ A (15x + 3)*
m∠ B (5x - 13)*

Answer:

Option (2)

Step-by-step explanation:

Parent function has been given as,

f(x) = [tex]\sqrt{x}[/tex]

When translated by 3 units left,

f(x + 3) = [tex]\sqrt{(x+3)}[/tex]

g(x) = [tex]\sqrt{(x+3)}[/tex]

If the translated function is stretched vertically by a scale factor = k

New function will be,

g'(x) = [tex]k\sqrt{(x+3)}[/tex]

Since a point (1, 4) passes lies on the transformed function.

g'(1) = [tex]k\sqrt{(1+3)}[/tex]

4 = 2k

k = 2

Therefore, transformed function represents the translation by 3 units in the negative side of the x-axis and stretched vertically by 2 units.

Option (2) will be the answer.

___________________________________

Total number of students=2200

Total percent of male=52.5%

Total percent of female=100%-52.5%

=47.5%

Total number of female= 47.5% of 2200

=47.5/100*2200

=1045

So the total number of female is 1045

hope it helps

Good luck on your assignment

________________________________

Answer:

[tex]1045[/tex]

Step-by-step explanation:

[tex]no. \: \: of \: \: students = 2200[/tex]

First let's find the percentage of female.

[tex]100\% - 52.5\% = 47.5\%[/tex]

So now let's find how many female students are there in the class

[tex]2200 \times47.5\% \\ 2200 \times \frac{47.5}{100} \% \\ = 1045[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: 6a. 3 1/3, 6b. 2 2/5, 6c. 1/4, 6d. 9/10

Step-by-step explanation: You can use math/way or Soc/ratic to find the answers. Math/way is a website, Socr/atic is an app.

Answer:

105= 7x or 7x=105 x=15

Step-by-step explanation:

Hope this helps

Correct me if this is wrong

Answer:

it is 3/y.

Step-by-step explanation:

the answer is 3/y because 3 comes before y in the question.

Answer:

BC = 24

Step-by-step explanation:

In the picture attached, the missing triangles are shown:

Data

As a consequence of the "Side Splitter" Theorem:

AD/DE = AB/BC

Replacing with data and solving for BC

5/12 = 10/BC

BC = 10*12/5 = 24

The length of BC is 8 units.

The given figure is image 1.

From the image: AD = AB + BD = 10 + 5 = 15.

From the image triangle ABC and ADE are similar.

So their sides will be in the same ratio.

[tex]\frac{10}{15}=\frac{BC}{12}\\\\BC=\frac{10}{15}\cdot12\\\\BC=8[/tex]

Learn more: https://brainly.com/question/13769924

Answer:

15 dogs

12 cats

Step-by-step explanation:

Let's call the number of cats c, and the number of dogs d.

4d=5c

c+d=27

4c+4d=108

4c+5c=108

9c=108

c=12

d=27-12=15

Hope this helps!

Answer:

15 dogs and 12 cats

Step-by-step explanation:

You can draw out 27 lines or dots or smth. Then cross off 4. and then keep going. But for every four you cross off, underline or highlight 5. The four represent the cats and the 5 represent the dogs. By the end you should get 15 dogs and 12 cats. Another way you can do this is by mulitplying both the numbers by the same number until they equal 27.

4:5 (*3)

12:15

Answer:

3/8

Step-by-step explanation:

1. We list all codes that start with 0 and have 0 as second digit:

2. We list all codes that start with 0 and have 1 as second digit:

3. We list all codes that start with 1 and have 0 as second digit:

4. We list all codes that start with 1 and have 1 as second digit:

5. We find the number of codes which have exactly 2 zeros: 6 codes

6. The total number of outcomes is: 16 codes

7. We find the probability that the number of codes has exactly 2 zeros: 6/16 3/8

Answer:

The probability of getting two 1's is 3/8

Step-by-step explanation:

Martha types a 4−digit code into a keypad to unlock her car doors.

The code uses the numbers 1 and 0

So the sample space of all the possible combinations is given by

1. 0 0 0 0

2. 0 0 0 1

3. 0 0 1 0

4. 0 0 1 1

5. 0 1 0 0

6. 0 1 0 1

7. 0 1 1 0

8. 0 1 1 1

9. 1 0 0 0

10. 1 0 0 1

11. 1 0 1 0

12. 1 0 1 1

13. 1 1 0 0

14. 1 1 0 1

15. 1 1 1 0

16. 1 1 1 1

So there are total 16 possible outcomes.

Now count the number of combinations that has exactly two 1's

4. 0 0 1 1

6. 0 1 0 1

7. 0 1 1 0

10. 1 0 0 1

11. 1 0 1 0

13. 1 1 0 0

So there are 6 possible outcomes with exactly two 1's

The required probability is

P(two 1's) = Number of outcomes with two 1's/Total number of outcomes

P(two 1's) = 6/16

P(two 1's) = 3/8

Therefore, the probability of getting two 1's is 3/8

Answer:

0

Step-by-step explanation:

The discriminant is

12^2 - 4*11*4 = -32

Since it is negative, there are 0 real solutions

I think you can multiply how many are defective in a sample by how much more stuff there is

Answer:

I'm glad you asked!I couldn't fully understand it so I made it the best of my ability.

Step-by-step explanation:

1.(Please,I cannot understand it .I think it is incomplete.)

2.18 out of 270 students speak 3 languages or more.So [tex]30,330[/tex] x [tex]\frac{18}{270}[/tex] = [tex]2,002.2,002[/tex] students.

3.We would do 5,000 x [tex]\frac{2}{10}[/tex] = 1,000.

4.No, the manufacturer cannot assume the prediction is valid.

The sample size of 10 is too small compared to the size of the shipment.

5.You can use random samples by using them for graphs which numbers are too big.

Answer:

There are 40 windows on the 10th floor

Step-by-step explanation:

Since we know one cube has 4 "windows" (each hole on its side not counting top and bottom) we can calculate that for each "floor" 4 more windows are added. So in other words, if "x" equals the amount of "floors" the equation for solving this would be 4x = # of windows.

Answer:

leg 1= 36  feet

leg2 = 15  feet

Step-by-step explanation:

Hi, we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the distance between Doreen’s house and the tower) and a and b are the other legs.  

leg1 = x

leg2 = x-21 (21 feet less than the other leg)

Replacing with the values given:  

39^2 = x^2 + (x-21)^2  

1,521 = x^2 + x^2 -42x +441

0 = 2x^2 -42x +441-1,521

0= 2x^2 -42x -1,080

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  (quadratic formula)

Replacing with the values given:  

x=-(-42)± √(-42)²-4(2)-1080] /2(2)  

x= 42± √10,404] /4

x = 42± 102 /4

Positive:

x = 42+102 /4 = 36

leg 1= 36

leg2 = 36-21 =15

Feel free to ask for more if needed or if you did not understand something.  

The length of shorter leg is 15 feet and other leg is 36 feet.

Let us consider that, length of shorter leg is x feet.

So that, length of other leg is [tex](x+21)[/tex] feet.

It is given that, the hypotenuse is 39 feet.

Apply Pythagoras theorem,

                 [tex]x^{2} +(x+21)^{2} =(39)^{2}\\ \\x^{2} +x^{2} +441+42x=1521\\\\2x^{2} +42x-1080=0\\\\x=15 ,-36[/tex]

Since, side can not be negative.

So that, we have to consider x=15 feet.

Length of other leg[tex]=x+21=15+21=36feet[/tex]

Learn more about the Pythagoras theorem here:

https://brainly.com/question/343682

Answer: 122 ft

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side

Where α is the angle of depression, the opposite side is the height of the window above the ground, and the adjacent side (x) is the distance between the neighbor's fence and the house.

Replacing with the values given:  

Tan 7 = 15/x

x = 15/tan 7

x = 122 ft

Feel free to ask for more if needed or if you did not understand something.  

Answer:

y = kxz²

k= y/xz²

x= 3 y = 60 z= 2

k = 60/3(2)²

k=60/12

k= 5

Hope this helps.

Answer:

Step-by-step explanation:

Same side interior angles refers to the pair of angles which are inside the two "parallel" lines and at the same side of the transversal line.

Notice that angles BGH and DHG are same side interior angles. Similarly, angles AGH and CHG are also same side interior angles.

Therefore, the right answer is ∠DHG.

Answer:

36 ft.

Step-by-step explanation:

Use the Pythagoras Theorem.

h^2 = 10^2 + 24^2

h^2 = 676

h = √676

h = 26 ft.

Original height = 10+26 = 36 ft.

Answer:

Step-by-step explanation:

the TRee form with the ground a right triangle

let’s calculate the length of the upper part of the tree which is the hypotenuse of the triangle:

now ,using the Pythagorean theorem we get :

upper part = √(10²+24²)

                 = 26

then

the original height of the tree

= 10 + 26

= 36 ft

Answer:

a concave polygon

Step-by-step explanation:

It's a concave polygon because it has one angle that is more than 180 degrees.(I think at least)

Answer:

1

Step-by-step explanation:

Answer:

2.

Step-by-step explanation:

Rational numbers can be written as a/b where a and b are integers ( b not zero) and a and b are co-prime ( no common factors)

A whole number is rational (2 for example can be written as 2/1).

It could have been 2 or 3 or 33.

Answer:

Step-by-step explanation:

Angles: 45°: 45°: 90°

Ratio of sides: 1:1:√2

Given c= 55

a =c/√2

a=55/√2 = 38.9

b=a+2 = 38.9+2 =41.9

The length of the legs of the triangle is 41.9

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

Angles are: 45°: 45°: 90°

The ratio of sides: 1:1:√2

Given c = 55

a = c/√2

a = 55/√2

a = 38.9

b = a+2

b = 38.9+2

b =41.9

Thus, the length of the legs of the triangle is 41.9

Learn more about a right angle;

https://brainly.com/question/7116550

#SPJ2

Answer:

[tex]\frac{25}{9}[/tex]

Step-by-step explanation:

[tex]4+\frac{5}{3} ^2-2^2=\frac{5}{3}^2=\frac{25}{9}[/tex]

Answer:

Negative

Step-by-step explanation:

D has the exact same value but

this time it the other way so your answer

should be -D = 3/2

Answer:

1`. y = 4x+6

2. y = -6x + 29

3. y= 3x+1

4. y = x -2

5. y = 11.5x+ 3

6. y = -2x -4

Step-by-step explanation:

Answer:

Your in middle school you should know this figure this by now FIGURE IT OUT ON YOUR OWN.....

Step-by-step explanation: yeah

Answer:

i dont know the volume but if it tells you what each book measures. Ive left a guide below to distribution.

Step-by-step explanation:

volume = 1

0.5 +0.5 = 1

volume 2

1+1 = 2

you just need to use the word distribution and show like this

(V): amount  / 2 =  new amount (adding cm^3)

To work out volume you take the length and width and height of the shelf of the books. you show your workings like this.

(V): L x Wx H =

You then multiply the amount of books if you was not given the measure of the bookcase shelf.

IF the bookcase is double like the picture and doesnt show the shelf measure than you half the hieght only and keep the same length and width.

H/2 =   first and enter below the new height.

(V): L xWx H  = this is the whole shelf

(V) =     / 2   you enter the Volume amount infront of the /2 and this way you see the volume for the math textbooks being 1/2 of 1  by (/2)  

Use the found answer

LAbel

MAth text books (V) =

Bounty paper towells (V) =

Then see how many cubic sheets fit.

ie) if they measure 30cm x 1cm x 30xm

and the shelf measures 30cm x 60 x 60

you can count up from the second values as the first values fit the length

The width = 1 x 60 - 60 books.  (example 1cm Width thickness)

Then see the height does not change to the height of the books.

IF it does change then for every 2cm change you divide the height of the bookcase by 60-1, 60-2 or 60-3, 60-4cm etc. just one of these that fits the indifference of height

then multiply if 60-58cm = 58 we know this is 2 / 60 x 100 = 3.33%

To calculate percentage decrease: see above

First: work out the difference (decrease) between the two numbers you are comparing. Then: divide the decrease by the original number and multiply the answer by 100. If your answer is a negative number, then this is a percentage increase.

You then apply (V) of shelf number x 0.03 and then subtract from that shelf volume to show your workings or reapply the same technique to see how many fit as decrease ie) 0.50% =  amount x 0.50 = 1/2 new amount.

Answer:

The answer is Graph III.

Step-by-step explanation:

Given that the linear equation is y = mx + c where m represents gradient and c is y-intercept.So firstly, we have to make y the subject :

[tex]3x - 36 + 2y = 0[/tex]

[tex]2y = - 3x + 36[/tex]

[tex]y = - \frac{3}{2} x + 18[/tex]

Next, by looking at the graph, we know that the line has a negative gradient and touches y-axis at 18 which suits the equation.

Answer:

Answer (a)

Step-by-step explanation:

(f + g)(x) would be equal to |x| + 9 - 6, which reduces to |x| + 3.

Since |x| cannot be less than zero, the range of this composite function

(f + g)(x) = |x| + 3 is [3, infinity).  That is, the smallest value is 3.  This corresponds to Answer (a).

Answer:

D

Step-by-step explanation:

Took it on Ed but it might be different

Answer:

D

Step-by-step explanation:

I did the math :)

Answer:

[tex]\sqrt{\frac{153.86}{3.14} } = r[/tex]

Step-by-step explanation:

a=pir^2

153.86 = 3.14*r^2

[tex]\sqrt{\frac{153.86}{3.14} } = r[/tex]

You're welcome and don't forget to click THANKS

Answer:

\sqrt{\frac{153.86}{3.14} } = r

Step-by-step explanation:

a=pir^2

153.86 = 3.14*r^2

\sqrt{\frac{153.86}{3.14} } = r