A sector of a circle has a central angle of 60°. find the area of each sector if the radius of the circle is 10in

Answer:

The length of the ladder Mr. Jackson will need to buy for his treehouse is approximately 3.7 meters

Step-by-step explanation:

The parameters given in the question are;

The horizontal distance from the point Mr. Jackson has decided to anchor the ladder to the the stilt supporting the tree house = 1.3 meters

The angle of elevation from Mr. Jackson's eye level to the bottom of the treehouse = 56°

The height of Mr. Jackson's eye level from the ground = 1.5 meters

From the question, we can draw the geometry of the ladder attached to the treehouse using Microsoft Visio as shown in the attached diagram

From the diagram, by trigonometric ratios, we have;

tan(56°) = a/1.3

∴ a = 1.3 × tan(56°) ≈ 1.927

By Pythagoras' theorem, we have;

The length of the ladder = √((a + b)² + 1.3²)

From the drawing, b = 1.5 m

Therefore, we have

The length of the ladder = √((1.927 + 1.5)² + 1.3²) ≈ 3.6653

The length of the ladder without rounding = √((1.3 × tan(56°)  + 1.5)² + 1.3²) = 3.66559488352

∴ The length of the ladder given to the nearest tenth of a meter ≈ 3.7 m

The length of the ladder Mr. Jackson will need to buy for his treehouse ≈ 3.7 m.

Answer:

3.49

Step-by-step explanation:

B = 5.5-2.01 = 3.49

have a great day!

Answer:

b=3.49

Step-by-step explanation:

5.5 - 2.01 = 3.49

2.01 + 3.49 = 3.49

can I have brainllest

Answer:

[tex]\frac{25}{56}[/tex] pounds

Step-by-step explanation:

By using unitary method,

∵ 1 full tub of water weighs = [tex]3\frac{1}{8}[/tex] pounds

∴ [tex]\frac{1}{7}[/tex] of a water tub will weigh = [tex]3\frac{1}{8}\times \frac{1}{7}[/tex]

                                               = [tex]\frac{(24+1)}{8}\times \frac{1}{7}[/tex]

                                               = [tex]\frac{25}{56}[/tex] pounds

Therefore, water filled in [tex]\frac{1}{7}[/tex]th part of the tub will weigh [tex]\frac{25}{56}[/tex] pounds.

The weight of the tub if filled up to 1/7 full is 25/56 pounds

Given:

If filled halfway:

= 1/7 × 3 1/8

= 1/7 × 25/8

= (1 × 25) / (7 × 8)

= 25/56 pounds

Therefore, the weight of the tub if filled to 1/7 of the capacity is 25/56 pounds

Learn more about fraction:

https://brainly.com/question/11562149

Answer:

one solution

Step-by-step explanation:

to find out how many solutions a quadratic equation (with the equation ax²+bx+c) will have, we need to find the discriminant, which is b²-4ac

first, we can label the coefficients as a, b, and c

a=1 (1 is in front of x²)

b=8

c=16

now substitute into the formula

D=(8)²-4(1*16)

D=64-64

D=0

the discriminant is 0

when the discriminant is 0, that means the quadratic equation only has one solution.

Hope this helps!

Step-by-step explanation:

6x+

?

= 10x

6x−

?

= 2x

6x+

?

= 2x

6x−

?= 10x

6x+

?

=- 10x

6x−

?

= x

6x+

?

= 0

6x−

?

= 6

6x+

?

= 10

6x−

?

= 4x - 10

6x+

?

= 10x

6x−

?

= 2x

6x+

?

= 2x

6x−

?= 10x

6x+

?

=- 10x

6x−

?

= x

6x+

?

= 0

6x−

?

= 6

6x+

?

= 10

6x−

?

= 4x - 10

Answer:

5/8

Step-by-step explanation:

hiii

The conditional of q by p is "If p then q" or "p implies q" and is denoted by p q. It is false when p is true and q is false; otherwise it is true.

Answer: it’s b on edg

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

population = 5652 people

Step-by-step explanation:

area = πr² = (3.14)(6²) = 113.04 mi²

at 50 people/mi², then 113.04 x 50 = 5652 people

Answer:

Theoretical Probability: 30%

Integer/decimal: 0.30

Step-by-step explanation:

Answer:

1. y=2

2. y= - 2

Step-by-step explanation:

Thats my answer hope it helps

Answer:

the solution is : (2 , 3)

Step-by-step explanation:

hello :  here is an solution

3x + 2y=12.....(*)

y=2x -1​.....(**)

put the value for y  in (*) :

3x + 2(2x-1)=12

3x+4x-2 = 12

7x =14

so : x =2

but : y=2x -1

y =2(2)-1 = 3

the solution is : (2 , 3)

Answer:

127°

Step-by-step explanation:

In a quadrilateral, sum of four angles is 360°.

Consider the fourth angle x.

so,

55° + 73° + 105° + x = 360°

x = 360° - 233°

x = 127°

Answer:

Step-by-step explanation:

he probability of the spinner landing on an even number  is 1/6.

Answer:

its 3

Step-by-step explanation:

Answer:

(0,-9/5)

Step-by-step explanation:

You  can use the equation y=mx+b to solve

First you have to find the slope (m)

You can do this by using the equation y2-y1=x2-x1

(-6-1)/(3--1)= -7/5

m=-7/5

You  then use the slope to find out b or the "y-intercept"

I am using the point (-2,1) to substitute

(1)=-7/5(-2)+b

-9/5=b

y=-7/5x-9/5

Check (3,-6):

(-6)=-7/5(3)-9/5

-6=-21/5- 9/5

-6=-6 true

Answer: 20x

Step-by-step explanation:

First we should note that 60 minutes = 1 hour. Therefore, 15 minutes = 15/60 = 1/4 hour

Since Jean can pack 5 cartons in 1/4 hours, the number of carton that he can pack in one hour will be:

= 5 ÷ 1/4

= 5 × 4

= 20 cartons.

Therefore, to get the number of cartons that Jean can pack in x hours, we will multiply 20 by x. This will be:

= 20 × x

= 20x

Answer:

4

Step-by-step explanation:

Answer:

A = 914 units

Step-by-step explanation:

The figure consists of a rectangle and a circle.

The sides of rectangle are 30 units and 20 units

The diameter of circle is 20 unit

Radius = 10 units

Required area = area of rectangle + area of circle

[tex]=l\times b+\pi r^2\\\\=30\times 20+3.14\times 10^2\\\\=914\ units[/tex]

So, the area of the figure is equal to 914 units.

Answer:

X = 9

Step-by-step explanation:

Answer:

Its 27

Step-by-step explanation:

Trust me i am Albert Einstein  and I dont need Paypal Money.

Answer:

Volume or amount to f water in a jug

The size of a plot of land.

Step-by-step explanation:

The volume of capacity which a certain container can hold such as ; The amount water which can be filled into a cylindrical jug will be measured in cubic units as it requires the multiplication of 3 measured sides of the container ; for a cylinder, radius is squared and multiplied by height. (radius * radius * height).

The size or area of rectangular garden is measured using in square units as it only takes into consideration 2 of the measured parts of a shape.

Answer: calculate x e it says and it = 6

Step-by-step explanation:  hope this helps pls give me brainly

Answer:

Step-by-step explanation:

thank you so much. thank you.

Answer: (3,5)

Step-by-step explanation:

y=3x-4

2x-3y=-9

2x-3(3x-4)=-9

2x-9x+12=-9

7x=21

x=3

y=3(3)-4

y=5

Answer:

おリム。羅語尾。、、利徒歩と

ラトソオコテユタソヨ保とソトコトThe野母

Answer:

what are the side lengths/ measurements of the forest?

Step-by-step explanation:

ill edit the answer once i get more info

Answer:

At the end of two years Mrs.Scott earned $1929.36 (i rounded the dec.)

Step-by-step explanation:

A= p(1+r)^t

P= 1750

r= .05

t= 2

A= 1750(1+.05)^2

A= 1929.375

Answer:

He has 84 quaters

Step-by-step explanation:

all you really have to do is multiply 4 times the number of stacks and you get 84