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I need to prove this using identities
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cos(pi/2+x)/cos(pi+x)=tanx​

The surface area of the given ramp is 264 in²

The given ramp is a triangular based prism is calculated as;

Surface area = Area of all the faces of the prism

Surface area = 2[0.5(8*6)] + (6*9) + (9*10) + (8*9)

Surface area = 48 + 54 + 90 + 72

Surface area = 264 in²

Hence the surface area of the given ramp is 264 in²

Learn more on surface area here: https://brainly.com/question/16519513

Answer:

264

Step-by-step explanation:

Answer:

4, 5, and 6

Step-by-step explanation:

Three Consecutive integers are x, x+1, x+2

We are given 3 times the first integer is 2 times the third

So

3x = 2(x+2)

Solve for x

3x = 2x+4

x = 4 (first integer)

so the 3 integers are 4, 5, and 6

Answer:

B

Step-by-step explanation:

Y-intercept is where a graph crosses the y-axis at x=0

f(x) = 6x^2 + 18x + 3

f(0) = 6(0)^2 + 18(0) + 3 = 3

From the plot, g(x) at x=0 is 6.

So the answer is B. g has a greater y-intercept than f.

For f(x)

[tex]\\ \rm\rightarrowtail y=6x^2+18x+3[/tex]

[tex]\\ \rm\rightarrowtail y=6(0)^2+18(0)+3=3[/tex]

From the graph

y intercept of g(x)=6

So option B is correct

Hey there!

Step 1: we multiply 5 by 1/4

=> [tex]5 ÷ \frac{1}{4} [/tex]

=> 5 ×[tex]\frac{4}{1} [/tex]

=> 20

Answer:

20 lengths

explanation:

total length of swine: 5 m

each length: [tex]\sf \frac{1}{4}[/tex] m

amount of lengths:

5 ÷ [tex]\sf \frac{1}{4}[/tex]     [ division number sentence ]

5 * 4

20

20 such length can be made.

Complete question is;

Peter drew two rays, AC and AP with A as a common endpoint. Which of the following statements

might describe Peter's drawing?

I. AC and AP are parallel.

II. PAC is an angle

III. AC and AP are perpendicular

A. I and II

B. II and III

C. I and 111

D. I, II, and III

Answer:

Option B: II & III

Step-by-step explanation:

We are told that Peter drew two rays which are AC and AP.

We are told that A is a common endpoint.

If A is a common endpoint, it means the 2 rays interaction point at A is at an angle.

The angle could also be 90° which means it's possible that the rays AC and AP are perpendicular.

Thus, the correct statements that describe his drawing are: II & III

The Fugitive Slave Act of 1850 affect enslavement is one that stopped enslavers from looking for people who had run away.

This Act was said to have hinder enslavers from searching for people who had run away.

It was said to have given citizenship to any kind of enslaved person that has ran away to a free state. It also punished individuals that helped enslaved people escape. This law was passed on September 18, 1850.

Learn more about  Fugitive Slave Act from

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Answer:

It would be 1,700

Step-by-step explanation:

It's simple: just add 2 zeros onto whatever the meter amount is and change the label to cm!

Answer:

D. x + 6

Step-by-step explanation:

In the given graph, we have 3 x-intercepts values, which are points at which the line intercepts the x-axis. They are, -6, -3 and 0.

Each of these x-intercepts can be written as a factor of a polynomial function as follows:

x = -6

x = -6 + 6

x + 6 = 0

x = -3

x = -3 + 3

x + 3 = 0

x = 0

Therefore, the factor of the polynomial function must be: x + 6

Answer:

9/4

Step-by-step explanation:

I will start off by defining the angle

[tex] \alpha = 90 - \beta [/tex]

as being the angle between altitude and the hypotenuse of the triangle.

[tex] \alpha = 90 - 30.1 = 59.9[/tex]

Using trigonometry, and the definition of the tan function defined by

[tex] \tan( \alpha ) = \frac{opp}{adj} = \frac{x}{1836.3} [/tex]

[tex] \tan( 59.9 ) = \frac{x}{1836.3} [/tex]

[tex]x = 1836.3 \times \tan(59.9) [/tex]

[tex]x = 3167.78[/tex]

Rounding to the nearest tenth

[tex]x = 3170[/tex]

Distance = √(17) Because 1 + 16 = 17

Answer:

Write 13.026 as  

13.026

1

Multiply both numerator and denominator by 10 for every number after the decimal point

13.026 × 1000

1 × 1000

=  

13026

1000

Reducing the fraction gives

6513/500

Step-by-step explanation:

Answer:

A. -1. (27)

B. 0.3

C. -14

D. -18

Step-by-step explanation:

I just use the calculator

Answer:

I am assuming that the function is f(x)=20(14)x, if it is

then f(x)=280x , The average rate of change between x =1 and x=2

is the slope of the function between the 2 and 1

Average rate of change = [f(b)-f(a)/b-a]  let a and b be x and y

f(a)=f(x)=f(1)=280x1=280

f(b)=f(y)=f(2)=280x2=560

Average rate of change = [f(b)-f(a)/b-a]=[(560-280)/(2-1)]=280

There is no decimal unless the function given is wrong

Step-by-step explanation:

Answer:

P (A|C) = 0.39

P (C|A) = 0.446

Step-by-step explanation:

The data provided is as follows:

                                              Blood Group

                                  O           A            B           AB         Total

                         1)    0.082    0.101     0.005     0.004     0.192

Ethnic Group   2)    0.140     0.141      0.018     0.009     0.578

                        3)    0.215     0.195     0.070     0.020    0.500

      Total                0.437     0.437     0.093     0.033

The event C = {Ethnic group 3 is selected}

Compute the value of P (A|C) as follows:

[tex]P(A|C)=\frac{P(A\cap C)}{P(C)}=\frac{0.195}{0.5}=0.39[/tex]

If we know that the individual came from ethnic group 3, the probability that he has type A is given by P(A | C) = 0.39.

Compute the value of P (C|A) as follows:

[tex]P(C|A)=\frac{P(A\cap C)}{P(A)}=\frac{0.195}{0.437}=0.446[/tex]

If we know that the individual has type A blood group, the probability that he came from ethnic group 3 is given by P(C | A) = 0.446.

Answer:

5 times 3 is 15 and if you divide 3 by 15 you answer will be 5

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

If y = 3 then multiply 5 x 3=15. Add 6 and you get 21. 21 is the correct answer.

The term varies or changes, and often there are restrictions set on the variable (eg: x is positive). Think of a variable as a placeholder for a number.

Step-by-step explanation:

The greatest common factor (GCF) is the largest common factor that the numbers share. Here, 8 is the largest common factor of 16 and 24. So the GCF of 16 and 24 is 8.

Answer:

B.

Step-by-step explanation:

use the pythagorean theorem

a^2+b^2=c^2

2^2+x^2=6^2

4+x^2=36

-4        -4

x^2=36

√x=√36

x=√36

Answer:

Step-by-step explanation:

Let's assume this is a function

The points are

Since it is linear relation, we'll get the slope intercept form

Using the points, let's calculate the formula

So the formula is:

Step-by-step explanation:

first, add the whole numbers

6 + 7 = 13

then the fractions

3/8 + 5/6

we need to get common denominators

do you know how to do that

Answer:

64 cm³

Step-by-step explanation:

Volume of cube

[tex] = \textcolor{steelblue}{\text{side}\times{\text{side} } \times\text{side}}[/tex]

[tex] = \textcolor{steelblue}{\text{side} {}^{3} }[/tex]

Given that the side is 4cm,

volume of cube

= 4³

[tex] = \textcolor{red}{64 \: \text{cm} {}^{3} }[/tex]

Answer:  False :)

Step-by-step explanation:

Answer:

Given:

s = -9

We exchange this value into our inequality;

-23s  ≥ 6

-23(-9) ≥ 6

207 ≥ 6