The exact value of cos(17pi/8) is

Answer:

  square

Step-by-step explanation:

A graph reveals all side lengths are the same and sides are perpendicular. The quadrilateral is a square.

so we know the point E is on the circle, thus the distance NE is really the radius of the circle hmmm what would that be?

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ N(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad E(\stackrel{x_2}{-1}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{[-1-(-6)]^2+[1-(-2)]^2}\implies r=\sqrt{(-1+6)^2+(1+2)^2} \\\\\\ r=\sqrt{5^2+3^2}\implies r=\sqrt{34}\implies r\approx 5.83 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ N(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad H(\stackrel{x_2}{-10}~,~\stackrel{y_2}{-7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ NH=\sqrt{[-10-(-6)]^2+[-7-(-2)]^2} \\\\\\ NH=\sqrt{(-10+6)^2+(-7+2)^2}\implies NH=\sqrt{(-4)^2+(-5)^2} \\\\\\ NH=\sqrt{41}\implies NH\approx 6.4\impliedby \begin{array}{llll} \textit{units away from the center}\\ \textit{is outside the circle} \end{array}[/tex]

recall the radius is about 5.83, anything shorter than that is inside the circle, anything longer than that is outside it.

Answer:

outside the circle

Step-by-step explanation:

trust me. i did it on khan academy

Answer:

k = 3.

Step-by-step explanation:

If the 2 roots are A and B we have the relations:

AB = 8/k and A+B = -14/k.

We are given that A = 6B so

6B^2 = 8/k

B^2 = 8/6k = 4/3k

B = 2 /√(3k) ......(1)

Now A + B = -14/k so

6B + B = 7B = -14/k

B = -2/k..........(2)

Eliminating B from equations (1) and (2):

2 /√(3k) = -2/k

Cross multiply:

2k = -2√(3k)

Squaring both sides:

4k^2 = 4 * 3k

4k^2 = 12k

k^2 = 3k

k = 3.

To find the value of k, we first define the roots as p and 6p. We then use the properties of the sum and product of roots in a quadratic equation to form two equations. We can solve these equations to get the value of k.

The given quadratic equation is kx2 + 14x + 8 = 0. We are looking for the value of k for which one root of the equation is six times the other. Let's denote the roots by p and 6p (since one is 6 times the other).

For a quadratic equation ax2 + bx + c = 0, the sum of the roots is given by -b/a and the product of the roots is c/a. In this case, -b/a or -14/k is equal to the sum of the roots (p + 6p). The product of the roots, c/a or 8/k, is equal to p*6p.

From the sum of the roots equation, we can determine p = -14/7k and by substitifying p in the other equation we can solve for k.

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Not all heroes wear capes. Anyways thank you!

Answer:

thanks for this! <3

Step-by-step explanation:

Check the picture below.

Answer:

The correct answer is last option.

m<AEB = 140

Step-by-step explanation:

From the figure we can see  rectangle.

It is given that, m<ADE = 70°

To find the value of m<AEB

From the figure we get Triangle ADE is isosceles triangle

<DAE = 70°

Therefore m<AED = 180 - (70 + 70) = 40°

<AED and <AEB  are linear pairs

Therefore m<AEB = 180 - m<AED

 = 180 - 40 = 140

The correct answer is last option

140

Step-by-step explanation:

[tex]n!=1\cdot2\cdot3\cdot...\cdot n\\\\\dfrac{9!}{9-32}=\dfrac{1\cdot2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9}{-23}=-\dfrac{362880}{23}[/tex]

Answer:

2,160 [tex]ft^{3}[/tex]

Step-by-step explanation:

The formula is V = lhw

15 x 24 x 6 = V

15 x 24 = 360

360 x 6 = 2,160

2,160[tex]ft^{3}[/tex]

Answer: 180 ft³

Step-by-step explanation:

You can calculate the volume of a right rectangular prism with this formula:

[tex]V=lwh[/tex]

Where "l" is the length and "w" is the width.

You know that the height of that this right rectangular prism is 15 feet, its length is 24 inches and its width is 6 feet.

Then, you need to make the conversion from 24 inches to feet (1 feet=12 inches):

[tex]l=(24in)(\frac{1ft}{12in})= 2ft[/tex]

Then, susbtituting values, you get:

[tex]V=(2ft)(6ft)(15ft)=180ft^3[/tex]

Answer:

[tex]y=- 4x + 4[/tex]

Step-by-step explanation:

The slope formula for a straight line is:

[tex]y=mx+b[/tex]

Where, 'm' is the slope and 'b' is the y-intercept.

To find the x-intercept of a line, we need to equal 'y' to zero, and then solve for 'x'. In this case we know that the x-intercept is 1, so we have the point (x1, y1)=(1,0). We are given a second point which is: (x0, y0)=(-2, 12).

To find the slope, we use the following formula:

[tex]m = \frac{y1-y0}{x1-x0} = \frac{0-12}{1-(-2)} = -4 [/tex]

Now, The equation of the line is: y - y0 = m(x-x0). Then, substituting the values of 'm', 'x0' and 'y0' we have that:

[tex]y - 12 = -4(x+2) ⇒ y = -4x-8 + 12 ⇒ y=- 4x + 4[/tex]

The equation of the line using the slope-intercept form is:

[tex]y=- 4x + 4[/tex]

ANSWER

260 miles

EXPLANATION

The equation that models the cost is

[tex]y = 35 + 0.25x[/tex]

If you have a maximum of $100 to spend for the car rental, then we can equation the cost function to

$100 to determine the maximum number of miles you could travel.

[tex]35 + 0.25x = 100[/tex]

[tex]0.25x = 100 - 35[/tex]

[tex]0.25x = 65[/tex]

[tex]x = \frac{65}{0.25} [/tex]

[tex]x = 260mi[/tex]

Therefore the maximum number of miles you can travel is 260 miles

Answer:

[tex]3x+5[/tex]

Step-by-step explanation:

we have

[tex](8x-2)-(5x-7)[/tex]

step 1

Eliminate the parenthesis

[tex](8x-2)-(5x-7)=8x-2-5x+7[/tex]

step 2

Groupe terms that contain the same variable

[tex]8x-5x-2+7[/tex]

step 3

Combine like terms

[tex]3x+5[/tex]

The simplified expression  of  (8x-2) -(5x-7) is said to be 3x + 5.

To subtract the expression (8x - 2) - (5x - 7), we can use the distributive property to remove the parentheses. Here's the step-by-step solution:

(8x - 2) - (5x - 7)

Do, Remove the parentheses:

8x - 2 - 5x + 7

Combine like terms:

(8x - 5x) + (-2 + 7)

Hence:

3x + 5

Therefore, the simplified expression is 3x + 5.

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Answer:

(7,-2)

Step-by-step explanation:

3x+2y=17

-2x-y=-12

Multiply the second equation by 2 so we can eliminate y

2( -2x-y=-12)   becomes -4x-2y = -24

Add this to the first equation

3x+2y=17

-4x-2y=-24

----------------

-x = -7

Multiply each side by -1

x = 7

Substitute back into the first equation to find y

3(7) +2y = 17

21 +2y = 17

Subtract 21 from each side

21-21 +2y = 17-21

2y = -4

Divide each side by 2

2y/2 = -4/2

y =-2

(7,-2)

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}3x+2y=17&(1)\\-2x-y=-12&(2)\end{array}\right\\\\(2)\\-2x-y=-12\qquad\text{add 2x to both sides}\\-y=2x-12\qquad\text{change the signs}\\y=-2x+12\qquad\text{substitute it to (1):}\\\\3x+2(-2x+12)=17\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\3x+(2)(-2x)+(2)(12)=17\\3x-4x+24=17\qquad\text{subtract 24 from both sides}\\-x=-7\qquad\text{change the signs}\\\boxed{x=7}\\\\\text{Put the value of x to (2):}\\\\y=-2(7)+12\\y=-14+12\\\boxed{y=-2}[/tex]

Option D. an isulator

Is the right answer i guess...

As The transfer of electrons increases The cunductivity also increases...

Hope it helps...

Regards,

Leukonov/Olegion.

Answer:

Insulator

Step-by-step explanation:

As insulators are meant to prevent the conduction of electricity.

Answer:

y-axis

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Also got B if you it’s not right let me know send me a comment and I will try to help with the best of my ability

Answer:

4 n - 7

Step-by-step explanation:

- 3 , 1 , 5 , 9

The difference between the terms is 4, so our multiplier is 4 n

4 , 8 , 12 , 16 ( The 4 times tables )

-3 , 1 , 5 , 9 ( The original sequence )

What are we doing to get from the 4 times tables to get to the original sequence?

4 - - 3 = 7

8 - 1 = 7

12 - 5 = 7

16 - 9 = 7

We are subtracting 7 so our complete general term is 4 n -7

Answer:

The answer to the question

The sum of the series 14+20+26+...+1244 is 129,045.

The question is to find the sum of the sequence 14+20+26+...+1244. This is an arithmetic series where the common difference (d) is 6, since each term is 6 more than the previous term. The first term (a1) is 14.

To find the sum of the series, we need to determine the number of terms (n). The nth term of an arithmetic series is given by an = a1 + (n-1)d. We will set an to 1244, the last term, and solve for n:

1244 = 14 + (n-1) × 6

n = (1244 - 14)/6 + 1

n = 205

Now that we have the number of terms, we can use the sum formula for an arithmetic series which is S = n/2  × (a1 + an). Thus:

S = 205/2 × (14 + 1244)

S = 102.5 × 1258

S = 129,045

So, the sum of the series 14+20+26+...+1244 is 129,045.

Answer:

The function is A = 10√r

Step-by-step explanation:

* Lets explain the meaning of direct variation

- The direct variation is a mathematical relationship between two

  variables that can be expressed by an equation in which one

  variable is equal to a constant times the other

- If Y is in direct variation with x (y ∝ x), then y = kx, where k is the

 constant of variation

* Now lets solve the problem

# A is varies directly with the square root of r

- Change the statement above to a mathematical relation

∴ A ∝ √r

- Chang the relation to a function by using a constant k

∴ A = k√r

- To find the value of the constant of variation k substitute A and r

 by the given values

∵ r = 16 when A = 40

∵ A = k√r

∴ 40 = k√16 ⇒ simplify the square root

∴ 40 = 4k ⇒ divide both sides by 4 to find the value of k

∴ 10 = k

- The value of the constant of variation is 10

∴ The function describing the relationship of A and r is A = 10√r

Answer:

A = 10[tex]\sqrt{r}[/tex]

Step-by-step explanation:

Given A varies directly with the square root of r then the equation relating them is

A = k[tex]\sqrt{r}[/tex] ← k is the constant of variation

To find k use the condition r = 16 , A = 40

k = [tex]\frac{A}{\sqrt{r} }[/tex] = [tex]\frac{40}{\sqrt{16} }[/tex] = [tex]\frac{40}{4}[/tex] = 10

A = 10[tex]\sqrt{r}[/tex] ← equation of variation

Answer:

172 degrees

Step-by-step explanation:

The complement of an angle, when added to that angle is equal to 90, so do x + 82 = 90

x = 8

The supplement of a an angle when added to that angle is equal to 180 so do

y + 8 = 180

y = 172

Applying the definition of supplementary angles and complementary angles, if angle A is 82 degrees, the supplement of the complement of angle A is: 172 degrees.

Recall:

Given that Angle A equals 82 degrees.

Thus:

The supplement of 8 degrees will be: 180 - 8 = 172 degrees.

Therefore, applying the definition of supplementary angles and complementary angles, if angle A is 82 degrees, the supplement of the complement of angle A is: 172 degrees.

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1. B

2. C

3. D

4. A

Hope this helps!

Answer:

1. B

2. C

3. D

4. AStep-by-step explanation:

Answer:

z = [tex]-\frac{2}{5}[/tex] or - 0.4

Step-by-step explanation:

8+2z = 6 - 3z

2z = 6 - 8 - 3z

2z + 3z = - 2

5z = -2

z = [tex]-\frac{2}{5}[/tex] or - 0.4

Answer: 2 pounds

Step-by-step explanation: There are 16 ounces in one pound. So when you divide 32 by 16, you get 2. Therefore your answer would be 2 pounds!

For this case we must make a conversion.

We know, by definition, that 1 ounce is equivalent to 0.0625 pounds.

We make a rule of three to determine how many pounds are 32 ounces.

1oz ---------------> 0.0625lb

32oz -------------> x

DOnde "x" represents the number of pounds

[tex]x = \frac {32 * 0.0625} {1}\\x = 2[/tex]

So, 32 ounces equals 2 pounds

Answer:

2 pounds

The answer would be 2. Angle PQR = Angle SQT

Hope it helps :)

Answer is 2 for sure Goodluck.

Answer:

4.3 feet

Step-by-step explanation:

Answer:

172.92 minutes

Step-by-step explanation:

Step 1: Write a proportion

33/5 = X/26.2

Step 2: Solve your proportion

X = 172.92

Find the rate for the number of minutes per mile. (# of minutes/mile)

33 minutes/5 miles = 6.6 minutes/mile

It takes him 6.6 minutes to run a mile, so you can multiply 26.2 miles by 6.6 minutes to find how long it takes him to run 26.2 miles.

26.2(6.6) = 172.92 minutes

48 miles. If 1 inch means 12 miles you can multiply both sides by 4 to get "4 inches = 48 miles"

Answer:

arithmetic

Step-by-step explanation:

The points fall on a straight line. They won't do that for a geometric sequence.

___

Normally the terms of either sort of sequence are numbered with counting numbers: 1, 2, 3, .... Your x-values are negative, so are obviously not term numbers of a sequence. The differences of x-values are 1, and the differences of y-values are 2.5, so we know the x- and y-values are linearly related. That relationship can be expressed in point-slope form by ...

y = 2.5(x +1) +12.5

which can be simplified to

y = 2.5x +15

__

The arithmetic sequence with first term 17.5 and common difference 2.5 would be described by this same equation.

Answer:

None

Step-by-step explanation:

Follow me To get The Answer

Answer:

123. [tex]A=lw[/tex], [tex]A=72[/tex]

124. B) 20 square feet

125. C) [tex]\frac{1}{6}[/tex]

126. A) 24 + 12, B) (4*6)+(4*3)

127. 30, 36, 44

Step-by-step explanation:

123. Area = length*width

Substitute '9' for [tex]l[/tex] and '8' for [tex]w[/tex].

[tex]A=(9)(8)[/tex] or [tex]A=(9*8)[/tex]

[tex]9*8=72[/tex], so [tex]A=72[/tex].

124. Using the formula [tex]A=lw[/tex], substitute '5' for [tex]l[/tex] and '4' for [tex]w[/tex].

[tex]A=(5)(4)[/tex] or [tex]A=(5*4)[/tex]

[tex]5*4=20[/tex], so [tex]A=20[/tex].

125. The hexagon was divided into 6 triangles, so each of the triangles is one out of six, one sixth ([tex]\frac{1}{6}[/tex].

126. The lighter rectangle's area is 24 and the darker's is 12 because (4*6) = 24 and (4*3) = 12.

127. For these shapes, I am using the 'subtraction' method (find the area of the shape as if it were a larger rectangle, then subtract the 'blank' spaces).

A(larger rectangle) = [tex]6*7=42[/tex]

A('blank' space) = [tex]3*4=12[/tex]

A(larger rectangle - 'blank' space) = [tex]42-12=30[/tex]

A(larger rectangle) = [tex]8*7=56[/tex]

A('blank' space) = [tex]5*4=20[/tex]

A(larger rectangle - 'blank' space) = [tex]56-20=36[/tex]

A(larger rectangle) = [tex]8*6=48[/tex]

A('blank' space) = [tex]2*1=2[/tex]  (there are two of them (both equal), so add them both together) 2 + 2 = 4.

A(larger rectangle - 'blank' space) = [tex]48-4=44[/tex]

Answer:

[tex]P=0.735[/tex]

Step-by-step explanation:

Call A to the event in which Nathan is allergic to penicillin

So

[tex]P (A) = 0.75[/tex]

[tex]P (A') = 1-P (A) = 0.25[/tex]

Call B the event in which the skin test predicts correctly.

So:

[tex]P (B) = 0.98\\P (B ') = 1-P (B) = 0.02[/tex]

We look for the probability that Nathan is allergic to penicillin and the test predicts it.

This is [tex]P (A\ and\ B)[/tex].

[tex]P (A\ and\ B) = P (A)*P (B)\\\\P (A\ and\ B) = 0.75 * 0.98\\\\P (A\ and\ B) = 0.735[/tex]

Answer:

Step-by-step explanation:

The equation of a circle in the standard form:

[tex](a-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the equation:

[tex]x^2+y^2-12y-15=0[/tex]

Convert into a standard form using

[tex](a-b)^2=a^2-2ab+b^2\qquad(*)[/tex]

[tex]x^2+\underbrace{y^2-2(y)(7)+7^2}_{(*)}-7^2-15=0\\\\(x-0)^2+(y-7)^2-49-15=0[/tex]

[tex](x-0)^2+(y-7)^2-64=0[/tex]           add 64 to both sides

[tex](x-0)^2+(y-7)^2=64[/tex]

The center (0, 7)

The radius: r = √64 = 8