Simplify equation

(answers in the picture)

Answer:

1. diameter=8 kilometres

2. area=98.96 inches

3. 37m

Step-by-step explanation:

1. diameter= 2*radius

2. area of sector=θ out of 360*π[tex]r^{2}[/tex] where θ is the angle

3. area of garden=π[tex]r^{2}[/tex]

        706.5=π[tex]r^{2}[/tex]

     [tex]r^{2}[/tex]=706.5/π

        = 225(nearest whole)

     r=[tex]\sqrt{225}[/tex]=15m

we now use Pythagoras theorem to find length of each pathway

[tex]40^{2} =15^{2} +x^{2}[/tex]

1600=225+[tex]x^{2}[/tex]

[tex]x^{2}[/tex]=1600-225=1375

x=[tex]\sqrt{1375}[/tex]=37 m (to nearest whole)

The tangent pathways from the entrance form right triangles from which

the length of the pathway which are the sides of the triangle, can be found.

Reasons:

1. The radius of the particle accelerator = 4 kilometers

The diameter of the particle accelerator = 2 × The radius

Therefore;

The diameter = 2 × 4 km = 8 km

The accelerator's diameter is 8 kilometers

2. The area of a sector of a circle is A = [tex]\displaystyle \frac{\theta}{360^{\circ}} \times \pi \cdot r^2[/tex]

The angle subtended by the sector, θ = 140°

The radius of the sector, r = 9 inches

Therefore;

[tex]\displaystyle A = \frac{140^{\circ}}{360^{\circ}} \times \pi \times 9^2 = \mathbf{ 31.5 \cdot \pi}[/tex]

The area of the shaded sector, A = 31.5·π in.² ≈ 98.96 in.²

3. The distance from the center to the main entrance, d = 40 m

Area of the circular garden, A = 706.5 m²

Solution:

The radius of the garden, r = √(A ÷ (π))

Therefore;

r = √(706.5 ÷ (π)) ≈ 15

The tangent pathways are perpendicular to the radius of the circular garden.

Therefore, the pathway from the entrance, the 40 m. distance from the center to the entrance and the radius form a right triangle.

Where;

The 40 m. distance = The hypotenuse side

By Pythagorean theorem, we have;

40² = r² + (Length of the pathway)²

Which gives;

40² = 15² + (Length of the pathway)²

Length of the pathway ≈ √(40² - 15²) ≈ 37.1

The length of each pathway is approximately 37.1 m.

Learn more about Pythagorean theorem here:

https://brainly.com/question/16175002

Answer:

x=6

Step-by-step explanation:

You can find the answers using similar triangles.

The leftmost side of the small triangle we shall call y. The leftmost side of the big triangle is twice this: 2y.

This tells us that the the side lengths in the big triangle are twice that of the small:

19x-28=2(6x+7)

19x-28=12x+14

7x=42

x=6

Answer:

graph in attachment.

Step-by-step explanation:

[tex] \huge \purple{\tt{Answer:}} [/tex]

In a rectangle , opposite sides are equal in length .

So ,

[tex] \sf {8x-1=31} \\\\ \implies \sf {8x=31+1=32} \\\\ \implies \sf{x={\dfrac{32}{8}}} \\\\ \implies \sf{x=4} [/tex]

Answer:

yes

Step-by-step explanation:

3+ 9*4 = 3 + 36 = 39

39 is bigger than 15

Answer:

yes

Step-by-step explanation:

Just you will subsititute by the point in the inequality

(3, 9) the first number is x and the second is y

then

3 + 4 * 9 = 39

for sure 39 > 15

I hope this is hlepful to you

Step-by-step explanation:

Answer:

C: 191.

Step-by-step explanation:

The total area of this is a little less than 15 x (3+4+10) = 15 x 17 = 255.

So then we subtract that by 36, which is the rectangle that is missing from the shape. So 255-36 = 219.

So now we have to guess. The triangle seems a little small, so it has to be the largest option, which is C: 191.

Answer:

The rate of function 1 is greater than function 2, the y intercept of function 1 is 3

Step-by-step explanation:

Answer:

$8802.65

Step-by-step explanation:

$2204.50

$3286.53

$3311.62

Answer:

https://doubtnut.com/question-answers/i16067-p2000-t8-monthsi16067-p2000-t8-months-what-is-the-annual-interest-rate--344869

Step-by-step explanation:

copy the link above and watch the video hope this helps

Answer:

It was a 16.7% discount

Step-by-step explanation:

You have to get the discount and divide it by the original price and it would be 0.16753 and so the percent becomes 16.7%

Answer: About 6 percent off.

Step-by-step explanation:

hope this helps :)

Answer:2 and 5 are coefficients

Step-by-step explanation:

Coefficients are the multiplicative factor of a variable in polynomials, so in the future look for numbers in front of a variable in polynomials.

Answer:

CD= 15.03

Step-by-step explanation:

x1=7, x2= -8

y1=-4, y2=-5

distance CD= √(x2- x1) 2+ (y2-y1)2

= √( -8-7)2 + [-5-(-4)]2

= √(15)2+ (-5+4)2

= √225+ (1)2

= √225+1

= √226

= 15.03

Answer: B (The cost of a notebook is $0.75, and the cost of a folder is $0.25.)

Step-by-step explanation:

No need for explanation. i know i’m right!!

Answer:

1/2 - 1/5

1 1/5 - 2/3

Step-by-step explanation:

Answer:

The market sold 18 6-ounce cans of soup on Tuesday

Step-by-step explanation:

Let us solve the question

- The number of the 6-ounce cans is x

- The number of 12-ounce cans is y

- 6x + 12y = 420

→ Divide each term by 6 to simplify the equation

- x + 2y = 70 ⇒ (1)

- x + y = 44 ⇒ (2)

→ Subtract equation (2) from equation (1)

- (x - x) + (2y - y) = (70 - 44)

- 0 + y = 26

- y = 26

Substitute the value of y in equation (2) to find the value of x

-x + 26 = 44

→ Subtract 26 from both sides

- x + 26 - 26 = 44 - 26

- x = 18

- x represents the number of the 6-ounce cans

- The market sold 18 6-ounce cans of soup on Tuesday

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

la respuesta es la letra C

Answer:

First distribute the 3

(3x + 12)(x - 5)

Multiply

3x - 3x - 60

Step-by-step explanation:

Answer:

     (-3±√5)/2

This is a quick check so stop asking for help online because it is test related

Answer:

0.96 kg

Step-by-step explanation:

0.56+0.40=0.96

95.4

Add the numbers of kilograms. Remember to line up the decimal points. You can write extra zeroes to make equivalent decimals.

Answer:

x=-17

Step-by-step explanation:

x+54=37

-54. -54

x=-17

Answer:

hope it helped have a good day mate

True

If two angles form a linear pair, the angles are supplementary. A linear pair types a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which skill they are supplementary.

Answer:

Hi there

your answer is 128

Step-by-step explanation:

8(5+11)

Answer:

128

Step-by-step explanation:

8(5+11)= 128

Answer:

100 3/13

Step-by-step explanation:

1,303 ÷ 13= 100 3/13

Answer:

the money left is $487.50

Step-by-step explanation:

The computation of the money left is shown below:

= Total money - spent money

= $750 - $750 × 35%

= $750 - $262.50

= $487.50

Hence, the money left is $487.50

We simply deduct the spent money from the total money

Answer:

C

Step-by-step explanation:

m∠7=m∠3

3x-10=2x+5

x=15

m∠3=2(15)+5

      =35

m∠1=m∠3 (vert. opp. ∠)

       = 35

Answer:

y+8x X 5

Step-by-step explanation:

Answer:

first one and last one

Step-by-step explanation: