the diagram shows a right-angled triangle ABC and a circle. A, B and C are points on the circle AB is a diameter of the circle AB = 10cm, AC = 6cm, BC = 9cm. Give your answer correct to 3 significant figures.

Answer:

[tex]\textsf{B)} \quad \dfrac{1}{3^9 \cdot 6^{18}}[/tex]

Step-by-step explanation:

[tex](3^3 \cdot 6^6)^{-3}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]

[tex]\implies \dfrac{1}{(3^3 \cdot 6^6)^3}[/tex]

[tex]\textsf{Apply exponent rule} \quad (ab)^c=a^c \cdot b^c:[/tex]

[tex]\implies \dfrac{1}{(3^3)^3 \cdot (6^6)^3}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies \dfrac{1}{3^9 \cdot 6^{18}}[/tex]

[tex]\\ \rm\Rrightarrow (3^3.6^6)^{-3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{(3^36^6)^3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{3^96^{18}}[/tex]

Option B

Answer:

15x² + 14x - 8

Step-by-step explanation:

Apply the distributive property by multiplying each term in (5x - 2) by each term in (3x + 4).

5x(3x) + (-2)(3x) + 5x(4) + (-2)(4)

= 15x² - 6x + 20x - 8

Combine like terms:

15x² + 14x - 8

(3x + 4)(5x − 2) is the factored form of 15x² + 14x - 8.

hope this helps!

Answer:

The chain is around 11 feet in length.

Step-by-step explanation:

Area of a circle = π × r²

380 ft² = π × r²

121 ft² = r²

11 ft = r

Answer:

2 divided by 8

Step-by-step explanation:

2/8

/ means division sign

Answer:

see below

Step-by-step explanation:

slope intercept form   slope = -2   y axis intercept = -2

y = -2x - 2      to graph this  pick two values of x   say -3   and  + 2

                        plug these values into the equation to find the corresponding y values, plot the points and then draw a line connecting them

Answer:

116

Step-by-step explanation:

7x-9=803

(add 9 to both sides)

7x=812

(divide by 7)

x=116

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

0.10*50=5

Answer:

Let the given set of integers be n and (n+1)

n(n+1)=306

n to the power square +n−306=0

(n+17)(n−16)=0

Therefore, n=16 and integers are 16 and 17.

Answer:

17, 18

Explanation:

Let the integers be y, y + 1

=======================

Next integer:

Answer:

58

Step-by-step explanation:

B=base

A=side

X=2(a+b)=2·(13+16)=58

Step-by-step explanation:

58 maybe coz I got 58 so??

Answer:

A° = 44.42°

Step-by-step explanation:

Soh Coh Toa
Soh: sin(theta) = Opp/Hyp

Coh: cos(theta) = Adj/Hyp

Toa: tan(theta) = Opp/Adj

We are using Coh: cos(theta) = Adj/Hyp because we need to find Angle A and that 5 is Adjacent and 7 is the Hypotenuse.

cos(A°) = 5/7

A° = cos^-1 (5/7)

A° ≈ 44.4153086

A° = 44.42°

Answer:

416.84 m

Step-by-step explanation:

First Step:

Multiple 312.63 by 1/3

312.63*1/3=104.21

Second Step:

Add 312.63 to 104.21

312.63+104.21=416.84

[tex]✤ \: \underline{ \underline{ \frak{Understanding~the~question : - }}} \\ \\ [/tex]

In this question, we have been provided that Evan swims 1/3 times farther than Drake, thus, the total distance covered by Evan will be equal to the sum of 312.63 m and the 1/3rd of 312.63 m. Thus, at first we will calculate the one third of the distance and then add them up to get our final answer.

⠀

[tex]✤ \: \underline{ \underline{ \frak{Given:-}}} \\ \\ [/tex]

⠀

[tex]✤ \: \underline{ \underline{ \frak{To~Find :-}}} \\ \\ [/tex]

⠀

[tex]✤ \: \underline{ \underline{ \frak{Solution :-}}} \\ \\ [/tex]

Calculating the one - third,

[tex] \sf \longrightarrow \dfrac{1}{3} \: of \: 312.63 \: m \\ \\ \\ \sf \longrightarrow \dfrac{1}{3} \times 312.63 \: m \\ \\ \\ \sf \longrightarrow \dfrac{1}{ \cancel3} \times \cancel{312.63} \: m \: \\ \\ \\ \sf \longrightarrow 1 \times 104.21 \: m \: \: \\ \\ \\ \sf \longrightarrow 104.21 \: m \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Thus,

⠀

[tex] \sf \longrightarrow Distance~covered~by~Evan =312.63 \: m + 104.21 \: m \\ \\ \\ \sf \longrightarrow Distance~covered~by~Evan =416.84 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Thus, the distance covered by Evan is 416.84 m.

⠀

[tex]\underline{\rule{227pt}{2pt}} \\ \\ [/tex]

Answer:

y=-4x-7

Step-by-step explanation:

remember the equation y=mx+b, where the slope is the m along with the x because it is an ever changing variable, and b is being the y intercept, that basically gives the answer.

Answer:

5 $ per rose

Step-by-step explanation:

it is 5 $ as

if we do 90 / 18 we get 5

or 5 × 18 is also equal to 90

therefore it is 5$ per rose

edit if you like my answer please mark brainlist

Answer:

B

Step-by-step explanation:

imagine if n=2 so B equal to 1

Answer:

$1305.91

Step-by-step explanation:

To solve this, we can use the geometric sequence formula

[tex]\alpha _n=a_1*r^n^-^1[/tex]

If we plug in our values we get [tex]\alpha _n=200*1.085^2^3[/tex]

Thus, leaving us with 1305.91

Hope this helps

Answer:

y = [-2]x - 1

Step-by-step explanation:

y = [-2]x - 1 will make the lines perpendicular.

Because the product of slopes of perpendicular lines is -1

-> 1/2*(-2) = -1

Hope it helps you in your learning process.

Answer:

Ok get ready to get taken down by either Sarah, Katie, or Eric lol

Step-by-step explanation:

Step-by-step explanation:

The degree fix, is 4 and the leading coefficient of is 3 There are values. distinct real zeros and 3. relative maximum 2 [analyze]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's calculate the volume of hemisphere} [/tex]

[tex] \textbf{Given :} [/tex]

[tex] \textbf{Volume of a hemisphere is :} [/tex]

Answer:

B

Step-by-step explanation:

Range

The best option is B

Answer:

240

Step-by-step explanation:

The 8th square number is 2^8 = 256.

The 4th square number is 2^4 = 16.

Their difference is 256 - 16 = 240.

Answer:

d

Step-by-step explanation:

Answer:

C, because it is one unit across

filler filler filler

Answer:

y = - 7x + 17

Step-by-step explanation:

Given, (3,6) and (5,-8)

Equation of a straight line is y = mx + c

Here, y = -8, x = 5 and m = ?

m = [tex]\frac{Change in Y}{Change in X}[/tex]

m = [tex]\frac{-8 - 6}{5 - 3}[/tex]

m = - 7

Substituting x, y and m in y = mx + c we get,

- 8 = - 7(5) + c

c = 35 - 8

c = 17

The equation is y = - 7x + 17 (Answer).

Answer:

4%

Step-by-step explanation:

[tex]A = P(1+r/n)^{nt}[/tex]

A = final amount

P = initial amount

r = interest rate per time period

n = number of times compounded per time period

t = number of time period

A = 3932.82

r = what we want to find

n = 2

t = 6

[tex]A = P(1+r/n)^{nt}\\3932.82 = 3101(1+r/2)^{12}[/tex]

divide both sides by 3101 to isolate the exponent and its parts

[tex]3932.82/3101 = (1+r/2)^{12}[/tex]

put both sides to the power of (1/12) to help isolate the variable

[tex](3932.82/3101)^{1/12}= (1+r/2)[/tex]

subtract 1 from both sides to isolate the variable and its coefficient

[tex](3932.82/3101)^{1/12}-1= (r/2)[/tex]

multiply both sides by 2 to get r

[tex]((3932.82/3101)^{1/12}-1) * 2= r[/tex]

r ≈ 0.04 = 4%

Answer:

185cm

Step-by-step explanation:

Answer:

185 cm

Fun Fact : my name is Ashley

The function f(x)=4sin(2πx) is a sinusoidal function

The graph of the function f(x)=4sin(2πx) is graph (c)

The parent function of a sine function is

f(x) = sin(x)

The function f(x)=4sin(2πx) implies that the parent function f(x) = sin(x) has been horizontally and vertically stretched

So, the graph of the function f(x)=4sin(2πx) would have a higher amplitude and shorter period than its parent function

Hence, the graph of the function f(x)=4sin(2πx) is graph (c)

Read more about function transformation at:

https://brainly.com/question/4289712

Answer:

When parallel light rays exit a concave lens, they

✔ diverge

.

When parallel light rays exit a convex lens, they

✔ converge

.

Step-by-step explanation:

The requried, parallel light rays diverge when passing through a concave lens, and converge when passing through a convex lens.

Refraction is the bending of light as it passes from one medium to another medium of different optical densities, such as from air to water or from air to a glass lens.

When parallel light rays exit a concave lens, they diverge as the concave lens is thinner at the center and thicker at the edges. This shape causes the light rays to bend away from the optical axis and spread apart from each other, resulting in a virtual image that is smaller than the object.

On the other hand, when parallel light rays exit a convex lens, they converge towards a focal point as the lens is thicker at the center and thinner at the edges. This shape causes the light rays to bend towards the optical axis and meet at a focal point, resulting in a real image that is inverted and can be larger or smaller than the object depending on the distance of the object from the lens.

Therefore, the behavior of parallel light rays upon exiting concave and convex lenses is quite different due to their distinct shapes and curvatures, resulting in opposite effects on the direction of light rays and the formation of images.

Learn more about refraction here:

https://brainly.com/question/14760207

#SPJ5

Answer:

lmk when you got the answer