Which angle is NOT coterminal with 5pi/4
radians?

Answer:

Step-by-step explanation:

Gabriela has  solved incorrectly. 5 should distributed to 9x & (-8) and 4 should be distributed between x & 2

5(9x - 8) = 4*(x + 2)

5*9x - 5*8 = 4*x + 4*2

45x - 40  = 4x + 8

Subtract 4x from both sides

45x - 4x - 40 = 8

       41x - 40 = 8

Add 40 to both sides

41x = 8 + 40

  41x = 48

x = 48/41

Answer:

The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.

Step-by-step explanation:

The line [tex]y = x + 1[/tex] has a slope 1. By Analytic Geometry, the slope of the line perpendicular to the original line is determine by the following formula:

[tex]m_{\perp} = -\frac{1}{m}[/tex] (1)

Where:

[tex]m[/tex] - Slope of the original line.

[tex]m_{\perp}[/tex] - Slope of the line perpendicular to the original line.

If we know that [tex]m = 1[/tex], then the new slope is:

[tex]m_{\perp} = -\frac{1}{1}[/tex]

[tex]m_{\perp} = -1[/tex]

A line is defined by the following expression:

[tex]y = m\cdot x + b[/tex] (2)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]m[/tex] - Slope.

[tex]b[/tex] - Intercept.

If we know that [tex](x,y) = (4,1)[/tex] and [tex]m = -1[/tex], then the intercept of the line perpendicular to the original line:

[tex]b = y - m\cdot x[/tex]

[tex]b = 1+4[/tex]

[tex]b = 5[/tex]

The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.

Step-by-step explanation:

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Step-by-step explanation:

A shaded right rectangular pyramid is shown. where is the shade rectangular pyramid....how do I know the answer when you did post the full

question

Answer:

No, because factorials are product of all positive integers less than or equal to a given positive integer.

Answer:

D

Step-by-step explanation:

is the correct answer i believe.

Answer:

B. 0,3

Step-by-step explanation:

I took the test and checked the answer, 0,3 is correct.

Answer:

Sebastian spent $40.40 at the gas station.

Step-by-step explanation:

First let's find how much the gas cost.

So it's $2.91 a gallon, and Sebastian fills 10 gallons of gas, so we multiply.

10 * 2.91 = $29.10

Then we add on the $11.40 from the granola bars and the box of tissues.

$29.10 + $11.40 = $40.50

So the final price should be $40.40. Sebastian spent $40.40 at the gas station.

Answer:

A

Step-by-step explanation:

It's just a normal quadratic graph but flipped meaning its just negative x squared

The solution is: 16.67% is the probability of picking the most expensive car from a range of 6 new cars.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, we have,

given that,

the most expensive car from a range of 6 new cars.

so, total sample space = 6

the number of favorable outcome = 1

so, probability = 1/6

Now, the word “expensive” was used to confuse you but simply put, the probability of getting “the most expensive car” is 1/6.

It is 1/6 because there is nothing that heightens its chances of being picked over the other cars,

hence the probability of any car will be equal to that of the “most expensive car”.

And for a percentage:

(1/6) x (100) = 16.67%

Hence, The solution is: 16.67% is the probability of picking the most expensive car from a range of 6 new cars.

To learn more on probability click:

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Answer:

a/e

~~~~~~~~~~

[tex]\frac{(18) ab (20)cd}{ (15) bc (24) de}[/tex]

[tex]\frac{(3) ab (4)cd}{ (3) bc (4) de}\\[/tex]

[tex]\frac{ ab cd}{ bc de}\\[/tex]

[tex]\frac{ a }{ e}\\[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

z-score representing 85% is 1.04 (from table)

Let x be the score representing the lower limit of 85%.

Use the formula to find z-scores:

We have:

Substitute the values and solve for x:

The lower limit of the top 15% is 85.28.

Since your score is greater than 85.28 you earned an A

Answer:

4 lbs

Step-by-step explanation:

1/4 x 4 =1

1/2 x 2= 1

3/8 + 3/8 + 5/8 + 5/8 =16/8

16/8 =2

1+1+2=4

Measure of x :

[tex]\longrightarrow4 \sqrt{5} \: \: units[/tex]

Measure of y :

[tex]\longrightarrow8 \sqrt{5} \: \: units[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{hope \: \: it \: \: helps }}{\orange{....}}}}}[/tex]

Answer:

$3 (not exact, this is an estimate)

Step-by-step explanation:

Since it is estimate, it is not the exact amount. 20% is 1/5 and 15/5 = 3 so 1/5 or 20% is 3.  the best estimate for the amount of tip is $3.

The answer is ⇒C. Zeros: -3 and 2

A. x-intercepts: (-3,0) and (2,0).

The zero of the function is where the y-value is zero.

The x-intercept is where the graph crosses the x-axis.

Here, in graph we have,

at (-3,0) and ( 2,0) the quadratic crosses the x-axis.

And, at -3 & 2  the value of y is zero.

Hence, the answer is ⇒C. Zeros: -3 and 2

A. x-intercepts: (-3,0) and (2,0).

To learn more on zeros & x-intercepts of quadratic function click:

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Answer:

Step-by-step explanation:

4 days 9 hours 40 minutes

Answer:

where is the dot plot??

Step-by-step explanation:

Answer:

2ft

Step-by-step explanation:

Depth = volume / ( length x width)

11.81 / (2.8 x 1.7)

11.81 / 4.76

depth = 2.48

2 ft (to the nearest whole number)

Answer:

slope is 0 because its rise over run and there is no run so 0 or undefined

Step-by-step explanation:

Answer:

It has an undefined slope because this vertical line does not run horizontally, meaning the "run" in rise/run is 0 and you cant divide anything by 0

Step-by-step explanation:

Answer:

1099/11=99.9

since you can't have 99 boxes, you round to 100 boxes.

you will need 100 boxes.

Answer:

The value of "h" = 32 unit

Step-by-step explanation:

Given:

In given parallelogram

Height for base 36 = 24

Height for base 27 = h

Find:

The value of "h"

Computation:

Area of parallelogram = Base x Height

For base 36

Area of parallelogram = 36 x 24

Area of parallelogram = 864 unit²

For base 27

Area of parallelogram = 27 x h

864 = 27 x h

The value of "h" = 864 / 27

The value of "h" = 32 unit

Answer:

Option d

Step-by-step explanation:

→ Perimeter of rectangle = 2(l + w)

→ 14 = 2(4 + w)

→ 14 ÷ 2 = 4 + w

→ 7 = 4 + w

→ 7 - 4 = w

→ 3 ft = w

Therefore, width is 3 ft. (Option D)

Answer: x = 4.5

Step-by-step explanation: First, do x + x, since they are like terms. That equals 2x. The equation is now 2x = 9. Divide both sides by 2. x = 4.5.

  x + x = 9

  2x = 9

÷2    ÷2

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

 x = 4.5  

x + x = 9

4.5 + 4.5 = 9

Answer:

2

Step-by-step explanation:

add 5/4 and 1/4 to get 6/4 or 3/2

(4^3/2 ÷ 4^1/2)^1/2 = 4^3/4 ÷ 4^1/4

4^3/4 ÷ 4^1/4 = 4^2/4 or 4^1/2

4^1/2 is the square root of 4, which is 2

Answer:

2

Step-by-step explanation:

In first step use the product rule of exponents .

so exponents going to add up.

Then in the second step simplified exponents.

After that Its division rule of exponents. and according to division to the exponents get subtracted.

In the end he would be left with four to the power half. which means square root of 4. which is 2.

[tex]\longrightarrow{\green{10.863}}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]10.863 \times 10.863 = 118 \\ \\⇝118.004 = 118 \\ \\ ⇝118 = 118[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

±sqrt(118)  or approximately ±10.86278

Step-by-step explanation:

What number times itself is 118

We are looking for the sqrt(118) or- sqrt(118)

This is approximately ±10.86278

Answer:

13%

Step-by-step explanation:

Interest Amt = Principal x Interest Rate x Time (in years)

780 = 4000·r·1.5

780 = 6000r

780/6000 = r

r = .13 which is 13%

Answer:

C. 25 ft²

Step-by-step explanation:

the length of side = 20/4 = 5 ft

so the area of the square = 5² = 25 ft²

Answer:

C: 25 ft2

Step-by-step explanation:

Perimeter is the factor of all the side lengths added together. If 4 equal sides added together equals 20, what times 4 equals 20? 5 times 4 equals 20. Which means the side length is 5. Area is side length x side length, so 5 x 5=25 so the answer is C hope this helps!

Step-by-step explanation:

cotA + tanA

= cosA / sinA+ sinA/ cosA

= cos2A + sin2A / sinA* cosA

= 1 / sinA* cosA

=1/ sinA * 1/ cosA

= cosecA *secA

=secAcosecA

[tex]\frac{cos^2A + sin^2A}{sinAcosA}[/tex]Answer:

Step-by-step explanation:

cotA + tanA = secAcosecA

LHS=cotA + tanA

=[tex]\frac{cosA}{sinA}[/tex] + [tex]\frac{sinA}{cosA}[/tex]

take lcm of the denominator

=[tex]\frac{cosA*cosA + sinA*sinA}{sinAcosA}[/tex](COS^2A + sin^2A =1)

=[tex]\frac{1}{sinAcosA}[/tex]

=1/sinA * 1/cosA

=cosecA*secA

=secAcosecA

therefore LHS=RHS

hence proved.