Calculate the area of sector if the angle is 45 degrees and the radius is 15cm

Answers

Answer 1

Answer:

[tex]area = \frac{45}{360} \times \pi {(15)}^{2} \\ = 88.35729338221 \\ = 88.6 \: (3sf)[/tex]


Related Questions

which expression is equivalent to 2x^(2)+11x+5

Answers

Answer:

(x + 5)(2x + 1)

Step-by-step explanation:

Given

2x² + 11x + 5

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × 5 = + 10 and sum = + 11

The factors are + 10 and + 1

Use these factors to split the x- term

2x² + 10x + x + 5 ( factor the first/second and third/fourth terms )

= 2x(x + 5) + 1 (x + 5) ← factor out (x + 5 from each term

= (x + 5)(2x + 1) ← in factored form

Use the following function rule to find f(8). f(x) = (-4 + x)2
f(8) =​

Answers

Answer:

16

Step-by-step explanation:

f(x) = (-4 + x)^2

Let x=8

f(8) = (-4 + 8)^2

Parentheses  first

     = 4^2

Then powers

    = 16

x/3 + 1/1
pls answer if you know ​

Answers

Answer:

[tex]\frac{x}{3} + \frac{1}{1} = \frac{x+3}{3}[/tex]

Step-by-step explanation:

[tex]\frac{x}{3} + \frac{1}{1} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ LCM \ of \ 1 , 3 = 3 \ ]\\\\= \frac{x}{3} + \frac{1 \times 3}{1 \times 3} \\\\= \frac{x}{3} + \frac{3}{3}\\\\=\frac{x+ 3}{3} \\\\[/tex]

Answer:

[tex] \frac{x + 3}{3} [/tex]

Step-by-step explanation:

[tex] \frac{x}{3} + \frac{1}{1} \times \frac{3}{3}[/tex][tex] \frac{x }{3} + \frac{3}{3} [/tex][tex] \frac{x + 3}{3} [/tex]Hope it is helpful....

Need help with this!!! Only have a few minutes left!!!

Answers

Answer:

Step-by-step explanation:

The height of a parallelogram is four times the base. The base measures 3.5 ft. Find the area of the parallelogram.

Answers

Answer:

49ft^2

Step-by-step explanation:

3.5ft X 4= 14ft

Area of parallelogram formula:

(perpendicular height)(base)= area

(14ft)(3.5ft)=49ft^2

if x= 3-2^2 then find the value of x^2+1÷x^2​

Answers

X = 3-2^2

Simplify x:

3-4 = -1

X = -1

Replace x in the equation and solve:

(-1) ^2 + 1 /(-1)^2

(-1)^2 = 1

Simplify to get 1 + 1/1 = 1+ 1 = 2

The answer = 2

complete the conversion:
5 grams / metres squared = _________ kilograms / hectares
(5g/m2=_________ kg/ha)

Answers

Answer:

5 grams/metres squared = 50 kg/hectares

Step-by-step explanation:

We need to convert 5 grams/metres squared to kilograms/hectares.

We know that,

1 kg = 1000 g

1 hectare = 10000 m²

So,

[tex]5\ \dfrac{g}{m^2}=5\times \dfrac{0.001}{\dfrac{1}{10000}}\\\\=50[/tex]

Hence, 5 grams/metres squared = 50 kg/hectares

Please help me with this question!!

Answers

Answer:

ok so for g times h you would have to foil it and then you would multiply it by f of X

Use the discriminant to determine the number of solutions to the quadratic equation 3x^2+5x=-1

Answers

Answer:

Two real distinct solutions

Step-by-step explanation:

Hi there!

Background of the Discriminant

The discriminant [tex]b^2-4ac[/tex] applies to quadratic equations when they are organised in standard form: [tex]ax^2+bx+c=0[/tex].

All quadratic equations can be solved with the quadratic formula: [tex]x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}[/tex].

When [tex]b^2-4ac[/tex] is positive, it is possible to take its square root and end up with two real, distinct values of x.

When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.

When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.

Solving the Problem

[tex]3x^2+5x=-1[/tex]

We're given the above equation. It hasn't been organised completely in [tex]ax^2+bx+c=0[/tex], but we can change that by adding 1 to both sides to make the right side equal to 0:

[tex]3x^2+5x+1=0[/tex]

Now that we can identify the values of a, b and c, we can plug them into the discriminant:

[tex]D=b^2-4ac\\D=(5)^2-4(3)(1)\\D=25-4(3)(1)\\D=25-12\\D=13[/tex]

Therefore, because the discriminant is positive, the equation has two real, distinct solutions.

I hope this helps!

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

the formula is C=2√πA

so simplifying that would give us c=2(4π)

simplify again and we get c=8π

BNATT73ZGEZZU63F
free reedem code​

Answers

Thanks! But what is it for??

Answer:

Thanks I got my free thing from this code that points out where to redeem it

Step-by-step explanation:

Which of the following quadratic regression equations best fits the data
shown below?

Please help and thank you.

Answers

Answer:

"B" ... see the image...

Step-by-step explanation:

Are you supposed to do this by hand???

You can use desmos, excel etc. to calculate different regressions

Write an inequality that represents the graph.

Answers

y=mx+b

m=(y2-y1)/(x2-x1)
m=(0+3)/(1-0)
m=3

b=-3

y=3x-3
y ≤ 3x-3

what is the corrct answer​

Answers

D is the right answer

Can anyone do this thanks

Answers

1) oct.
2) sept.
4) aug. &' sept
Not 100% though .

Jacqui likes to travel to the beach on weekends. She starts at her house, drives d miles, and then spends t hours walking the remaining w miles to get to the beach. Jacqui drives three times as long as she walks during the trip. The equation below represents Jacqui's average speed, a, in miles per hour, when traveling to the beach. a=d+w/3t+t What is the meaning of 3t + t3t+t in the equation above? -The total time that Jacqui spends traveling to the beach -The time that Jacqui spends driving to the beach -The total distance that Jacqui travels to the beach -Jacqui's maximum speed during her trip Jacqui's average speed during one trip to the beach was 3636 miles per hour. If Jacqui drove 70 miles and the entire trip to the beach took her 22 hours, how many miles did she walk to get to the beach?

Answers

Answer:

The answer is below

Step-by-step explanation:

1) Average speed is the ratio of the total distance travelled to the total time taken. Hence it is given by:

Average speed = total distance / total time

Total distance = d miles + w miles

Jacqui drives three times as long as she walks during the trip, hence:

time spent driving = 3t

Total time = 3t + t

Average speed = total distance / total time

a = (d + w) / (3t + t)

2) (3t + t) represents the total time that Jacqui spends traveling to the beach.

3) Given that a = 36 miles per hour, total time = 2 hours

a = total distance / total time

36 miles per hour = total distance / 2 hours

total distance = 72 miles

Total distance = distance walk + distance drove

72 = distance walk + 70

Distance walk = 2 miles

2V2 km
2 km
X
A) 2V5 km
C) 2 km
B) 2V3 km
D) 4 km
HELP PLEASEE

Answers

Answer:

[tex]x=2\sqrt3\ km[/tex]

Step-by-step explanation:

Given that,

The base of a triangle = 2 km

The perpendicular height of the triangle = [tex]2\sqrt{2} \ km[/tex]

We need to find the value of x. It is the Hypotenuse of the triangle. It can be solved as :

[tex]x=\sqrt{(2\sqrt{2})^2+2^2 } \\\\=2\sqrt{2+1 } \\\\=2\sqrt3\ km[/tex]

So, the value of x is equal to [tex]2\sqrt3\ km[/tex].

(1)/(x^(-2))+(1)/(x^(-1))+(1)/(2)

Answers

Answer:

not touching x-axis

Step-by-step explanation:

the graph is not touching the x-axis, that is all i can say

Answer:

([tex]x^{2}[/tex] + [tex]x[/tex] + [tex]\frac{1}{2\\}[/tex] )

https://www.symbolab.com/solver/step-by-step/%5Cleft(1%5Cright)%2F%5Cleft(x%5E%7B%5Cleft(-2%5Cright)%7D%5Cright)%2B%5Cleft(1%5Cright)%2F%5Cleft(x%5E%7B%5Cleft(-1%5Cright)%7D%5Cright)%2B%5Cleft(1%5Cright)%2F%5Cleft(2%5Cright)

You can  use the  link above :))

A scale drawing of Elizabeth's rectangular room is 4 inches by 7 inches. The scale is 1 inch = 3 feet. What is the area, in square feet, of Elizabeth's room?

Answers

Answer:

84 feet

Step-by-step explanation:

4 inches× 7 inches=28inches

28 inches×3feet=84feet

Factor the following expression: $55z^{17}+121z^{34}$.

Answers

Answer:

2r5r

jr = 986 which is 459=100 equals wrong

The factorization of the given expression [tex]55z^{17}+121z^{34}[/tex] is [tex]11z^{17}(5+11z^{17})[/tex].

What is the factorization of an expression?

"Factorization is a method of finding factors for any polynomial or any algebraic expression."

The given expression is

[tex]55z^{17}+121z^{34}[/tex]

By factorizing it, we get:

[tex]55z^{17}+121z^{34}\\= 11z^{17}(5+11z^{17})[/tex]

Learn more about factorization of an expression here: https://brainly.com/question/11994062

#SPJ2

What is the measure in radians for the central angle of a circle whose radius r = 4 cm, and intercepted arc length s = 1.2 cm? Enter your answer as a decimal in the box. radians

Answers

Answer:

17.1972degrees

Step-by-step explanation:

length of an arc = theta/360 * 2πr

Substitute the given angle;

1.2 = theta/360 * 2(3.14)(4)

1.2 = theta/360 * 25.12

1.2/25.12 = theta/360

0.04777 = theta/360

theta = 360 * .04777

theta = 17.1972

Hence the required angle is 17.1972degrees

Se desea construir un parque con forma de sector circular con un radio de 402 pies y un ángulo central de 45°. ¿Cuál será la superficie ocupada por dicho parque?

Answers

Answer:

63462 pies

Step-by-step explanation:

De la pregunta anterior, debemos encontrar el área del sector

La fórmula se da como:

θ / 360 × πr²

Dónde:

θ = 45 °

radio = 402 pies

Área del sector =

45/360 × π × 402²

= 63461.742399 pies

Aproximadamente el área de la ocupada por el parque = 63462 pies

the number 32747 written to 4 significant figure is​

Answers

Answer: 3275

Step-by-step explanation:

Ranking correct answer brainliest :)

Answers

Answer:

115

Step-by-step explanation:

angle DEF is an inscribed angle and arc DF is the arc it intercepts

if you didn't know an inscribed angle is equal to half the measure of the arc it intercepts

Hence angle DEF = 1/2 of arc DF

If arc DF = 230 then angle DEF = half of 230 or 230/2

230/2=115

Hence angle DEF = 115

A. X=3 m
B. X=5 m
C. X=6 m
D. X=9 m

Answers

Answer:

ok so we can divide 15 by 5 to get 3

so we know the building is 3 times bigger

so we multiply 3 by 3 to get 9

so the answer is D

Answer:

9

Step-by-step explanation:

Since the triangles are similar, we can use ratios to solve

Letting h be the height of the tower

15        h

-----  = ------

5           3

Using cross products

15*3 = 5h

Divide each side by 5

45/5 = 5h/5

9 = h

if someone answers this i won’t drop out

Answers

Answer:

d

Step-by-step explanation:

ahhh help its PLATO
'la

Answers

Answer:

D

Step-by-step explanation:

To find the inverse of a function, first replace f(x) with y.

Next, switch all the x's and y's, and then solve for y.

Finally, replace y with f-1(x).

Perez throws a stone on the pond. The path traveled by the stone can be modeled by y = -2x2 + 8x + 5, where x represents the time (in seconds) and y represents the height of the stone (in feet). What is the maximum height that the stone reaches

Answers

Answer:

The maximum height that the stone reaches is of 26 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

y = -2x2 + 8x + 5

Quadratic function with [tex]a = -2, b = 8, c = 5[/tex]

What is the maximum height that the stone reaches?

y value of the vertex. So

[tex]\Delta = 8^2-4(-2)(5) = 64 + 40 = 104[/tex]

[tex]y_{v} = -\frac{104}{4(-2)} = 26[/tex]

The maximum height that the stone reaches is of 26 feet.

What is the sign of -x/-y when x > 0 and y > 0?

Answers

Answer:

pretty sure its positive

Step-by-step explanation:

hope this helps, have  a great day!

Answer:

A is correct

Step-by-step explanation:

if we know that both x and y are positive, they are both going to be negative

and since we know that, -x divided by -y is the same as saying something negative divided by something negative which is ALWAYS positive because negatives cancel out leaving the answer positive something, something

HELP PLEASE HELP MEEEE PLEASEEE

Answers

Answer: a. x=4 b. x=17.5

Step-by-step explanation:

a. 5x/2+1=11

subtract 1 from both sides : 5x/2=10

multiply both sides by 2 : 5x=20

divide both sides by 4 : x=4

b. 2x/7-3=2

add 3 to both sides : 2x/7=5

multiply both sides by 7 : 2x=35

divide both sides by 2 : x=17.5

B. jensjsynsnsnehdjejd
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