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Answer:

the three angles inside a triangle need to add up to 180 degrees

Step-by-step explanation:

Answer:

x^2 - 3x - 28

Step-by-step explanation:

(x-7)(x+4) = x^2 + 4x - 7x - 28 according to the distributive property

Which = x^2 - 3x - 28

Answer:

[tex]x^{2} -3x-28[/tex]

Step-by-step explanation:

[tex](x - 7)(x + 4)\\x(x + 4)-7(x + 4)\\x^{2} +4x-7x-28\\x^{2} -3x-28[/tex]

Answer:

Step-by-step explanation:

The angle formed by two secants is half the difference of intercepted arcs.

Correct choice is C

Let that be y

Option C

Answer:

At this distance, Jupiter takes 11.8618 Earth years to complete a single orbit of the Sun. In other words, a single Jovian year lasts the equivalent of 4,332.59 Earth days.

Step-by-step explanation:

that the best i can do !!!!

Using the z-distribution, it is found that the 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The sample size and the estimate are given by:

[tex]n = 161, \pi = \frac{37}{161} = 0.2298[/tex]

Hence:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 - 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.1648[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 + 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.2948[/tex]

The 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

More can be learned about the z-distribution at https://brainly.com/question/25890103

Step-by-step explanation:

[tex] \sin(θ) = \frac{2}{5} [/tex]

We know that

[tex] { \sin ^{2} (θ) } + \cos^{2} (θ) = 1[/tex]

Using that we get

[tex] \cos^{2} (θ) = 1 - \sin^{2}( θ) = 1 - { \frac{2}{5} }^{2} [/tex]

[tex] = 1 - \frac{4}{25} [/tex]

[tex] \frac{21}{25} [/tex]

hence

[tex] \cos(θ ) = \frac{ \sqrt{21} }{5} [/tex]

Step-by-step explanation:

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Answer:

43.56

Step-by-step explanation:

22 percent of 198 can be found by converting 22 percent into decimal form which is

22% = 0.22

because a 100% = 1

Then we can multiply 0.22 by 198

0.22*198 = 43.56

So the answer is 43.56

Hope this helps! :)

Answer:

58

Step-by-step explanation:

hope this helps

Answer:

I believe 58

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

280,280

Step-by-step explanation:

i believe you just multiply 45.5 times 5280

Step-by-step explanation:

[tex]1mile = 5280feet[/tex]

[tex]45.5miles = x[/tex]

[tex] \frac{45.5}{1} \times 5280[/tex]

[tex]x = 240240feet[/tex]

Answer:

19.8 X 0.098 = 1.9404
increased 1.9404 from 2013 to 2014

19.8 + 1.9404= 21.7404

increasses another 5.1% for 2014 to 2015

21.7404 X 0.051 = 1.1087757

1.1087757 + 21.7404 = 22.8491757

Total output of wheat for 2015 is 1.11

Total output of wheat 22.85 rounded off

Step-by-step explanation:

Answer:

Step-by-step explanation:

Rate of change

Rate of change

Since 6 > 5, the function B has greater rate of change in the given interval

Answer:

Function B

Step-by-step explanation:

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

  [tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given interval:  2 ≤ x ≤ 4

Therefore: a = 2 and b = 4

Function A

From inspection of the given table:

Substituting these values into the formula:

[tex]\implies \textsf{Average rate of change}=\dfrac{f(4)-f(2)}{4-2}=\dfrac{6-(-4)}{2}=5[/tex]

Function B

Given function: [tex]y=2^x+1[/tex]

[tex]\implies f(2)=2^2+1=5[/tex]

[tex]\implies f(4)=2^4+1=17[/tex]

Substituting these values into the formula:

[tex]\implies \textsf{Average rate of change}=\dfrac{f(4)-f(2)}{4-2}=\dfrac{17-5}{2}=6[/tex]

As 6 > 5, function B has a greater rate of change over the interval 2 ≤ x ≤ 4

Answer:

if we divide 114.80 by 8 we get 14.35. We do this to get the 1% of the cost.

since we now know that 14.35 is 1% we can multiply 14.35 by 100 and once we do this we get 1435

The areas of the square pyramid are the amount of space on it

The given parameters are:

Base (b) = 12 cm

Slant height (l) = 12.8 cm

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * 12 * 12.8

Evaluate the product

L = 307.2

This is calculated using:

T = L + b^2

So, we have:

T = 307.2 + 12^2

Evaluate

T = 451.2

Hence, the total surface area is 451.2 square cm

Read more about areas at:

https://brainly.com/question/24487155

Answer:

Step-by-step explanation:

Using identities

Applying to the given statements, we can see the second one is valid.

Correct choice is B

Answer:

Only statement 2 is valid

Step-by-step explanation:

Let's see how

[tex]\\ \rm\rightarrowtail x^3+216[/tex]

[tex]\\ \rm\rightarrowtail x^2+6^3[/tex]

[tex]\\ \rm\rightarrowtail (x+6)(x^2-6x+36)[/tex]

Hence verified

Answer:

57mm

Step-by-step explanation:

Length of missing side= perimeter- known lengths

= 152mm- (30+20+45)mm

= (152 - 95)mm

= 57mm

-8 to 0 = 8

0 to 2 = 2

total change = 8 + 2 = 10 degrees

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -4      y_1= 0  

     m= +5/4 (parallel means same slope)

an equation in the point-slope form is : y +0= -5/4(x+4)

Answer:

domain is just all of the x values while range is all of the y values

so domian is

1,2,3,5,7,8

there are 2  5's but you only put 1

never put two of the same number for range or domain

Step-by-step explanation:

Answer: [tex]A=539\pi /16=105.8m^2[/tex]

Step-by-step explanation:

Think of the white circle being on top of a larger shaded circle. You were given the diameter of this larger shaded circle. And, you were also secretly given the diameter of the inner white circle. If you find the area of the white circle, and subtract it from the area of the shaded circle, you will find the area of the shaded region.

Beginning with the area of the shaded circle. The diamater is 21 meters, while the radius is 21/2 meters. Therefore, the area is:

[tex]A=\pi r^2[/tex]

[tex]A=\pi (21/2)^2[/tex]

[tex]A=441\pi /4[/tex]

Moving on to the white circle. The diameter would be 21 meters with 3.5 meters subtracted from it:

[tex]d=21-3.5=17.5=35/2[/tex]

Therefore the radius is:

[tex]r=(35/2)/2=35/4[/tex]

Which means the area would be:

[tex]A=\pi r^2[/tex]

[tex]A=\pi (35/4)^2[/tex]

[tex]A=1225\pi /16[/tex]

Therefore the shaded region is:

[tex]A=441\pi /4-1225\pi /16[/tex]

Get common denominators:

[tex]A=1764\pi /16-1225\pi /16[/tex]

[tex]A=539\pi /16[/tex]

Answer: 65 Degrees

Hope this helps :)

If so brainliest would mean alot thanks!

Step-by-step explanation:

35/ 65 degrees

Pretty sure it's 65

Answer: 25 degrees

Step-by-step explanation: Angle ATC equals 90 degrees 90 - 65 = 25

Answer:

4 were broken

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] × 12 = [tex]\frac{12}{3}[/tex] = 4 ← number of broken eggs

Answer:

seventy-six and two hundred eighty thousandths.

Step-by-step explanation:

[tex]\text{Given that,}\\\\f(x)= \dfrac{x+1}{x-1}\\\\\\f'(x)=\lim\limits_{h \to 0} \dfrac{f(x+h) - f(x) }{h}\\\\\\ ~~~~~~~~=\lim\limits_{h \to 0} \dfrac{\left( \tfrac{x+h+1}{x+h-1}\right) - \tfrac{x+1}{x-1}}{h}\\\\\\~~~~~~~~=\lim\limits_{h \to 0} \dfrac{\tfrac{(x+h+1)(x-1) - (x+1)(x+h-1)}{(x+h-1)(x-1)}}{h} \\\\\\~~~~~~~~=\lim\limits_{h \to 0} \dfrac{\tfrac{x^2-x+hx-h+x-1 - x^2-xh+x-x-h+1}{(x+h-1)(x-1)}}{h}\\\\\\~~~~~~~~[/tex]

       [tex]~~~~~~~=\lim\limits_{h \to 0} \dfrac{\tfrac{-2h}{(x+h-1)(x-1)}}{h}\\\\\\~~~~~~~~=\lim\limits_{h \to 0} \dfrac{-2}{(x+h-1)(x-1)}\\\\\\~~~~~~~~=\dfrac{-2}{(x+0-1)(x-1)}\\[/tex]

       [tex]\\\\~~~~~~~~=\dfrac{-2}{(x-1)(x-1)}\\\\\\~~~~~~~~=\dfrac{-2}{(x-1)^2}[/tex]

Answer:

-5f

Step-by-step explanation:

Answer:

f(- 5) = 57

Step-by-step explanation:

substitute x = - 5 into f(x) , that is

f(- 5) = 3(- 5)² + 3(- 5) - 3

        = 3(25) - 15 - 3

       = 75 - 18

       = 57

I don't know the answer so help

Answer:

19

Step-by-step explanation:

18 + 1 = 19