Solve the equation on the
interval [0,21).
2 csc x + 17 = 15 + CSC X

Answer:

A) 175π / 9 squared inches,

Step-by-step explanation:

Radius = 10 inches

AB = BD = 10 = radius

Triangle ABD is isosceles

Angle DAB = Angle BDA = 35 degrees,

Base angles theroem

35 + 35 + x = 180, angles in triangle

x = 180 - 70

x = 110 degrees

Angle DBC is supplementary with ABD

110 + x = 180

x = 70

70 degrees is angle for the sector

70 is 70/360, 7/36 of the circle

The area will also be 7/36 of the circle area

Area of circle = πr^2

Area =  100π

Area of sector = (100π * 7) / 36

Area of sector = 700π / 36

Simplified area = 175π / 9 squared inches

Answer:  The vector is < 2, 5 >

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

Explanation:

Label the initial point (1,-7) as point P and (3,-2) as point Q.

This is a change of +2, meaning we move 2 units to the right.

Therefore, the x component of the vector is +2 or simply 2.

This is a change of +5 when moving from P to Q. We have moved 5 units up. The y coordinate of the vector is +5 or simply 5.

Overall, the vector is < 2, 5 > which tells the reader "move 2 units to the right and 5 units up.

Refer to the diagram below.

Answer:

3.31662479... is irrational

Step-by-step explanation:

The number 3.31662479... is written in a decimal form:

It is a nonterminating decimal (look at the three dots at the end)

and a nonrepeating decimal (no repeating pattern)

So it is irrational.

Answer:

Step-by-step explanation:

The given number is :

The three dots at the end of the number indicates that it is non-terminating

Also you see that the digits do not repeat, hence it is also non-repeating

Definition of An Irrational Number

⇒  The decimal expansion of an irrational number is neither terminating nor recurring.

As it satisfies the criteria, the given number is irrational

Using the unit circle, it is found that the terminal point of the angle 5pi/4 is given by:

A. [tex]\left(-\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2}\right)[/tex]

For an angle [tex]\theta[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\theta}, \sin{\theta})[/tex].

The angle 5pi/4 is in the third quadrant, as it is greater than pi and less than 1.5pi, in which both the sine and the cosine are negative. Hence, considering the reference angle, we have that:

[tex](\cos{(\left(\frac{5\pi}{4}\right)}, \sin{(\left(\frac{5\pi}{4}\right)}) = (-\cos{(\left(\frac{\pi}{4}\right)}, -\sin{(\left(\frac{\pi}{4}\right)}) = \left(-\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2}\right)[/tex]

Hence option A is correct.

More can be learned about the unit circle at https://brainly.com/question/16852127

#SPJ1

Answer:

Zachary can make 13 dumplings.

Step-by-step explanation:

We know the size of the groups (13/16 cups) and the total (10 9/16 cups of dough). We're trying to find the number of groups that would fit in our total (10 9/16 cups). To find that out, we need to compute:

13\16 x ? =10 9/16

10 9/16 divided by 13/16 = ?

10 9/16 x 16/13

Answer:

They gave her a $6.12 tip

Step-by-step explanation:

You have to multiply the total ($34) by the Percent (18% = 0.18), and then you will have your final answer.

Answer:

no (see below)

Step-by-step explanation:

Not all of the months have the same amount of days therefore Thomas does not work the same percentage of days each month.

Answer:

it is 4 or 3 i think 4 more tho

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

7km

Step-by-step explanation:

[tex] \frac{1}{3} x + \frac{1}{4} x = \frac{4}{12} x + \frac{3}{12} x = \frac{7}{12} x \\ \\ \\ x - \frac{7}{12} x = \frac{12}{12} x - \frac{7}{12} x = \frac{5}{12} x \\ \\ \frac{5}{12} x = 5 - - - > x = 12[/tex]

[tex]12 \times \frac{7}{12} = 7[/tex]

Answer:

C

Step-by-step explanation:

vertex form:

[tex]y = {a(x - h)}^{2} + k[/tex]

the negative sign in front of x^2 is also -1, which is the "a". A controls if the parabola will opek up or down, and the width of the function. In this problem, the parabola opens down. the -3 corresponds to "k" in vertex form. K is the vertical shift or the y coordinate of the vertex. If k is positive it moves up, and if it is negative it moves down. Because of the -3, the vertex of the parabola will move down 3 units on the y-axis.

The transformations which can lead to the red square image of the blue Square are; Translation, Reflection, Rotation.

Read more on transformations;

https://brainly.com/question/4289712

The time it would take for Rudy to have the same number of each punch card is 1 week.

The number of punches on each card Rudy would have is 8 punches.

The equation that represents the number of punches on the tea punch card is: 1 + 7t

The equation that represents the number of punches on the coffee punch card is: 2 + 6t

Where t represents the number of weeks

When both cards would have the same amount of punches, the two above equations would be equal:

1 + 7t = 2 + 6t

To find the value of t, take the following steps:

Combine similar terms

7t - 6t = 2  - 1

t = 1 week

Number of punches on each card = 1 + 7(1) = 8 punches

To learn more about when the two different variables would have the same amount, please check: https://brainly.com/question/25711114

Answer:

negative

Step-by-step explanation:

A positive times a negative is a negative

Answer:

m = 7/6

Step-by-step explanation:

Find coordinates of two points:

(-2,3)

(-8,-4)

Slope formula =

y1 - y2 / x1 - x2

So...

-4-3 / -8 -- 2

-7 / -6

7/6

remember brainliest and have a great day!

[tex]y= f(x) = 3^x+1\\\\\text{Replace x with y and solve for y}\\ \\~~~~~~x=3^y+1\\\\\implies 3^y = x-1\\ \\\implies \ln(3^y) = \ln(x-1)\\\\\implies y \ln 3= \ln(x-1)\\\\\implies y= \dfrac{\ln(x-1)}{\ln 3}\\\\\implies f^{-1}(x) = \dfrac{\ln(x-1)}{\ln 3}[/tex]

Answer:

19/100

Step-by-step explanation:

Answer:

19/100

Step-by-step explanation:

The answer is 19/100 because the percentage should be out of 100. Therefore, the fraction is 19/100.

Answer:

  A"(1, -2)

Step-by-step explanation:

In addition to the translation transformation given, you are asked to transform the figure further by rotating it 180° about the origin. The translation for that is ...

  (x, y) ⇒ (-x, -y)

Then the composition of the two transformations is ...

  (x, y) ⇒ (-(x -5), -(y -1)) = (-x +5, -y +1)

__

Applied to the given point(s), we have ...

  (x, y) ⇒ (-x +5, -y +1)

  A(4, 3) ⇒ (-4 +5, -3 +1) = A"(1, -2)

  B(1, 1) ⇒ (-1 +5, -1 +1) = B"(4, 0)

The coordinates of A" after translation and rotation are (1, -2).

Answer:

4 inches

Step-by-step explanation:

The scale is 1:3 based on that info, x:12

There is a 4-factor increase, meaning x=4

The Zoo is 16 Inches from the school

Answer:

[tex]\boxed{8x+6 \: units= base}[/tex]

Step-by-step explanation:

Altitude = 3x

Area = 12x² + 9x

We know that

Area of right triangle = ½ × base × altitude

Then,

12x² + 9x = ½ × 3x × base

[tex]12x ^ { 2 } +9x= \frac{ 3x }{ 2 } \times \: base[/tex]

[tex]\frac{6x\left(4x+3\right)}{3x} = \frac{3x\times \: base}{3x}[/tex]

[tex]\frac{6x\left(4x+3\right)}{3x} = base[/tex]

[tex]\underline{\underline{8x+6 \: units= base}}[/tex]

________

Hope it helps ⚜

Answer:

0; 3.

Step-by-step explanation:

1) if to substitute x=1 into the given equation, it is possible to calculate the value of 'm':

1-m²-m+1=0; ⇔ m²+m-2=0; ⇒ m₁=-2; m₂=1;

2) if m=-2 and m=1, then the initial equation is:

x²-4x+3=0 or x²-x=0;

3) according to the item 3), the 2d root is:

x₂=3 or x₂=0.

Answer:

1.8 min

Step-by-step explanation:

This question is easier to answer than it would be in general.

3000 mL = 3 L

1.5L is exactly half of that, so the time to fill the 1.5L container is half the time it takes to fill the 3L container.

Half of 3.6 minutes is 1.8 minutes

Answer:

$68

Step-by-step explanation:

Mrs. reynolds now has 68 dollars. 153-105=48. 48+20=68

Answer:

She has $68 dollars remaining

Step-by-step explanation:

(no bar diagram needed, lol jk.)

anyways she started off with 153, right?

She then buys a bike worth $105; thats -$105  which leaves here with $48 dollars

Then ooo its her lucky day, she finds a $20 dollar bill, you add it to $48 (+$20) , now she has $68 dollars in total.

<3

the answer would be 0.56

Answer:

a: 0.0016

Step-by-step explanation:

Got it right on the test.

Hope this helps :)

1. At an annual interest rate of 17.11%, an average family needs 74 months to settle $7,942 at a $175 monthly payment.

2. The total interest is $4,932.10.

The monthly payment is the amount paid each month to settle the loan within its maturity period.

The monthly payment can be computed using an online finance calculator.

We can also determine the period of payment using the same online finance calculator as below.

I/Y (Interest per year) = 17.11%

PV (Present Value) = $7,942

PMT (Periodic Payment) = $-175

FV (Future Value) = $0

Results:

N = 73.566

Sum of all periodic payments = $12,874.10

Total Interest = $4,932.10

Thus, while it will take 74 months for the average American family to pay off the loan of $7,942 with a monthly payment of $175 at 17.11% interest, the total interest paid is $4,932.10.

Learn more about periodic payments at https://brainly.com/question/24244579

#SPJ1

Answer:

How much is 32 cm in diameter?

Centimeters to Inches table

centimeters inches

32cm 12.60

33cm 12.99

34cm 13.39

35cm 13.78

Step-by-step explanation:

Answer:

A

≈

804.25

I am sure just trust me ;)

Answer:

1/4.

Step-by-step explanation:

3/4 of 1/3

= 1/3 * 3/4

= 3/12

= 1/4