What is the equation of its axis of symmetry?

Answer:

The center of the circle is at: C=(−5,4).

The radius of the circle is r=3.

Step-by-step explanation:

The equation of the circle is (x + 5)² + (y − 4)² = 3². Then the center of the circle is at (−5, 4) and the radius of the circle is 3 units.

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is given as (x + 5)² + (y − 4)² = 9.

The equation can be written as

(x + 5)² + (y − 4)² = 3²

Then the center of the circle is at (−5, 4) and the radius of the circle is 3 units.

More about the circle link is given below.

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Answer:

70 doses.

Step-by-step explanation:

First, you have to find how many bottles 7/3 is.

Simplify 7/3 to 6/3 + 1/3.

6/3 simplifies to 2, which leaves us with 2 and 1/3.

30 multiplied by 2 and 1/3 is equal to 70.

I hope this helps.

Number of doses in 7/3 bottle of medicine is 70.

Calculate the number of doses per bottle: 30 doses per bottle

Calculate the total doses in 7/3 bottles: 30 doses/bottle x 7/3 bottles = 70 doses

Answer:

The area of the sector = 103.62 square unit

Step-by-step explanation:

Please kindly check the attached files for explanation

Answer:

225

Step-by-step explanation:

bc 15 times 15 is 225 and thats how you find out how many combos ya square it

Final answer:

The number of ways 15 students can arrange themselves in 15 seats is calculated using permutations and is equal to 15 factorial (15!).

Explanation:

The question involves finding the number of different ways to arrange 15 students in 15 seats, which is a combinatorial problem in mathematics. This problem can be solved by using the concept of permutations. Indeed, if we have 15 distinct objects (students) and we want to arrange them in 15 distinct positions (seats), we need to calculate the number of permutations of 15 items taken 15 at a time.

The formula for the number of permutations of n objects taken r at a time is P(n, r) = n! / (n-r)!, where ! denotes the factorial of a number. For this case, since we are permuting all 15 students (n = 15), the number of ways they can arrange themselves in 15 seats is simply 15! (15 factorial).

Answer:

39cm to the 2nd aka 39cm^2

Step-by-step explanation:

The area of the irregular shape is 38 cm^3.

The area of the triangle is half times of base and height.

[tex]\rm Area \ of \triangle=\dfrac{1}{2} \times Base \times height[/tex]

A tile installer plots an irregular shape on grid paper.

Each square on the grid represents 1 square centimeter.

The area of the triangle is;

[tex]\rm Area \ of \triangle=\dfrac{1}{2} \times Base \times height\\\\Area \ of \triangle=\dfrac{1}{2} \times4 \times 4\\\\Area \ of \triangle=8[/tex]

The area of the rectangle is;

[tex]\rm Area \ of \ recatngle =length \times width\\\\ Area \ of \ recatngle =3 \times 5\\\\ Area \ of \ recatngle =15[/tex]

The area of the parallelogram is;

[tex]\rm Area \ of \ a \ parallelogram = base \times height\\\\ Area \ of \ a \ parallelogram =5\times 3\\\\ Area \ of \ a \ parallelogram =15[/tex]

The area of the irregular shape is;

= 8 + 15 + 15=38

Hence, the area of the irregular shape is  38 cm^3.

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Answer:5

Step-by-step explanation:because,yes!

Answer:

5

Step-by-step explanation:

i did the quiz

Josie can assemble 9 gift baskets

From the question, we are to determine up to how many gift baskets Josie can assemble and still have 16 chocolates left

To do this,

Simply substitute c = 16 in the equation and solve for g

The given equation is:

c = –9g + 97

Substitute c= 16:

c = –9g + 97

16 = -9g + 97

9g = 97 - 16

9g = 81

Divide both sides by 9:

g = 81/9

g = 9

Answer:

x=250

Step-by-step explanation:

150= 3/5 x

50 = 1/5 x

x=50×5

x=250

Final answer:

To solve the equation 150 = 3/5 x for x, divide both sides by 3/5, which is equivalent to multiplying by its reciprocal (5/3), resulting in x being equal to 250.

Explanation:

To find the value of x in the equation 150 = 3/5 x, you first divide both sides of the equation by 3/5 to isolate x. This can be done by flipping the fraction and multiplying, as the division by a fraction is the same as multiplication by its reciprocal.

The process is as follows:

150 = (3/5) x

150 * (5/3) = x

50 * 5 = x

250 = x

Therefore, the value of x is 250.

Answer:-204.8

Step-by-step explanation:

Answer:

-204.8

Step-by-step explanation:

Answer

F=1+1/2

Step-by-step explanation:

(10)=-2F+13

We move all terms to the left:

(10)-(-2F+13)=0

We get rid of parentheses

2F-13+10=0

We add all the numbers together, and all the variables

2F-3=0

We move all terms containing F to the left, all other terms to the right

2F=3

F=3/2

Answer:

-6

Step-by-step explanation:

f(x)=-2x+13

f(10)=-2(10)+14

f(10)=-20+14

f(10)=-6

Answer:

2/9

Step-by-step explanation:

If you are subtracting fractions with the same denominators (in this case 9 is the denominator for both), then you just have to subtract the numerator.

4/9 - 2/9

When you just subtract numerators, this is all you need to do:

4 - 2

= 2

2/9 is the answer.

Answer:

2/9

Step-by-step explanation:

Answer:

83€  is the constant.

Answer:    should be

X=6,1

Answer:

3 × 3 × 1.5

Step-by-step explanation:

Volume = base area × height

13.5 = s² × ½s

½s³ = 13.5

s³ = 27

s = 3

½s = 1.5

Dimensions:

3 × 3 × 1.5

Answer:

b

Step-by-step explanation:

i had this on usa test prep

Answer:

x = 34

Step-by-step explanation:

The two angles sum to a right angle, which is 90 degrees.  We can tell this from the box in the corner

x+56 = 90

Subtract 56 from each side

x+56-56= 90-56

X = 34

Answer:

x=34

Step-by-step explanation:

The angles are complementary, or they add to 90 degrees. We know this because of the little rectangle in the corner.

x+56=90

Subtract 56 from both sides

x+56-56=90-56

x=34

Answer:

12/25 of the entire container.

Step-by-step explanation:

To solve this, multiply 3/4 by 4/5. 3/4 * 4/5 = 12/25. Therefore, her brother drank 12/25 of the whole container.

Answer:

its 24

Step-by-step explanation:

i got it right on ed 2020

Answer:

The correct answer is C.) 24 square units

Step-by-step explanation:

(base x height)/2 → (6 x 4)/2 = 12

12 x 2 = 24

Answer:

Segment DE is parallel to segment BC.

Step-by-step explanation:

Use the side splitter theorem.

Answer: Segment DE is parallel to segment BC.

Answer: Total Volume =  15π + 18 π= 33π cubic mm

Step-by-step explanation:

What is the volume of the composite figure? Leave the answer in terms of π.

_33π mm3

We have a cone here conjoined to a semi-sphere.

so

Cone volume:  C = (1/3)*(πr^2) * h

semi-sphere volume :  V = (1/2)* (4/3) * (π * r^3)

r = 3 mm  and  h = 5mm

so   C = (1/3)*(π  (3)^2) * 5 =  15π  cubic mm

V = (1/2)* (4/3) * (π * 3^3) = 18 π cubic mm

Total Volume =  15π + 18 π= 33π cubic mm

Final answer:

The value of x is 1.

Explanation:

To find the value of x in the given question, we need to set up an equation involving the angles.

From the information given, we have:

m∠IHG = 162°

m∠IHK = (4x + 4)°

m∠KHG = (8x + 2)°

We can set up an equation based on the relationship between the angles:

m∠IHG + m∠IHK + m∠KHG = 180°

Substituting the given angle measures, we have:

162° + (4x + 4)° + (8x + 2)° = 180°

Combine like terms:

12x + 168 = 180

Subtract 168 from both sides:

12x = 12

Divide both sides by 12:

x = 1

Therefore, the value of x is 1.

Answer:

0.17 or 17 percent

Step-by-step explanation:

You go the graph where it says urban (the question states among the urabn population and add all of the numbers together to get 126, and you go to the two year degree column (it is looking for the two year degrees from this column) and you divide that number (21) by your sum earlier to get 0.16666667 and round it up to 0.17 which is 27 percent if you want a percentage as an answer.

6:13 =83

6+13=19

1 part=83÷19

=4.37

6×4.4=26.4

13×4.4=57.2

26.4:57.2

p.s I got how much money only...

sorry

Answer:

50 1/6% (50 and one sixth) or $22.92

Step-by-step explanation:

Answer:

$25.92

Step-by-step explanation:

48÷2=24 (price after 50% off)

24×4.5=108

108÷100=1.08(% of tax per dollar)

1.08×24=25.92 (final price)

Answer:

28 years

Step-by-step explanation:

To find the number of years that the investment will reach $3500, we can use the formula of compound interest:

P = Po * (1+r)^t

where P is the final value, Po is the inicial value, r is the annual interest and t is the time in years.

In this question, P = 3500, Po = 1800 and r = 2.46% = 0.0246, so:

3500 = 1800 * (1+0.0246)^t

1.0246^t = 3500/1800

1.0246^t = 1.9444

Using logarithm in both sides:

log(1.0246^t) = log(1.9444)

t*log(1.0246) = 0.2888

t * 0.0106 = 0.2888

t = 0.2888 / 0.0106 = 27.2453 years

So the investment will reach $3500 after 28 years (rounding the result up, because after 27 years the investment will not reach $3500)

Answer: Length OP = 82.38 feet

Step-by-step explanation: Given that the ΔNOP, the measure of ∠P=90°, the measure of ∠N=83°, and NO = 83 feet.

We can find the length of OP by using trigonometry ratio since it is a right angle

NO = hypothenus and

OP = opposite

Sin 83 = OP/NO

Sin83 = OP/83

OP = 83sin83

OP = 82.38 feet

Answer:

an = 12 + (n – 1) × 6

Step-by-step explanation:

The first book is 12 dollars so that is covered.

Secondly it says n-1 to exclude the first book.

Finally it is multiplied by 6 or the price of each additional book.

Hope This Helped :)

The required formula that models the situation is y = 12 + 6x.

As given in the question, a store is having a sale on books. If you buy the first book for $12, each additional book will cost $6.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Let x be the number of additional books,
And y be the total cost of the book purchased,
The first book cost $12 after that for x additional\ book cost is given as,
y = 12 + 6x

Since x = 0, 1, 2, 3, and so on.

Thus, the required formula that models the situation is y = 12 + 6x.

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Answer:

2138.2 cubic meters

Step-by-step explanation:

The Volume of Sphere is given by

V = (4/3) π r³

then

V = (4/3) π r³

V= (4/3) x 3.14 x (8)³

V = 1.33 x 3.14 x 512

V = 2138.2 m³

Answer:

Step-by-step explanation:

r = 8 m

Volume V = (4/3)πr³

[tex]=\frac{4}{3}*3.14*8*8*8\\\\=\frac{6430.72}{3}\\\\=2143.57333....\\\\=2143.57cubicmeters[/tex]

Answer:

likely; think of it like you picking 87 red marbles out of a box of 100 different colored marbles. probability of 87/100 you picking a red marble