Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the rectangle.
8
2
square units

Answer:

[tex]\displaystyle 21 \approx c[/tex]

Explanation:

Solving for Angles

[tex]\displaystyle \frac{a^2 + b^2 - c^2}{2ab} = cos\angle{C} \\ \frac{a^2 - b^2 + c^2}{2ac} = cos\angle{B} \\ \frac{-a^2 + b^2 + c^2}{2bc} = cos\angle{A}[/tex]

Do not forget to use [tex]\displaystyle arccos[/tex] or [tex]\displaystyle cos^{-1}[/tex]towards the end, or the result will be thrown off.

Solving for Edges

[tex]\displaystyle b^2 + a^2 - 2ba\:cos\angle{C} = c^2 \\ c^2 + a^2 - 2ca\:cos\angle{B} = b^2 \\ c^2 + b^2 - 2cb\:cos\angle{A} = a^2[/tex]

Take the square root of the result in the end, or you will throw yourself off.

Well, let us get to work:

[tex]\displaystyle 13^2 + 29^2 - 2[13][29]cos\:41 = c^2 \\ 169 + 841 - 754cos\:41 = c^2 \\ 1010 - 754cos\:41 = c^2 \\ \\ \sqrt{440,94897651...} = \sqrt{c^2} \\ 20,99878512... = c \\ \\ \boxed{21 \approx c}[/tex]

I am joyous to assist you at any time.

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:

Total periodic pension costs (TPPC) is equal to the contributions plus change in the pension liability during the year. Each period, the periodic pension cost is recognized in profit or loss (P&L) and/or in other comprehensive income (OCI).

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:

C Cos32

Step-by-step explanation:

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!

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:

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:

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:

so what should we do?!?!?!?!¡!?!

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

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

the answer would be 0.56

Answer:

a: 0.0016

Step-by-step explanation:

Got it right on the test.

Hope this helps :)

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:

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

[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:

negative

Step-by-step explanation:

A positive times a negative is a negative

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.

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

Based on characteristics of regular polygons, the area of the regular octagon with an apothema of 17 units is approximately 239.415 square units. #SPJ1

A polygon is regular when all sides and central angles have the same length.The area of a regular polygon (A) can be found in terms of the number of sides (n) and the apothema (a), whose length is 17, by using the following formula:

A = 0.25 · n · a² · tan (180/n)     (1)

If we know that n = 8 and a = 17, then the area of the regular octagon is:

A ≈ 239.415

Based on characteristics of regular polygons, the area of the regular octagon with an apothema of 17 units is approximately 239.415 square units. #SPJ1

To learn more on regular polygons, we kindly invite to check this: https://brainly.com/question/11810316  #SPJ1

Answer:

7π/6, 11π/6

Step-by-step explanation:

2cscx + 17 = 15 + cscx

1. Subtract cscx and 17 from both sides ⇒ cscx = -2

2. cscx = 1/sinx ⇒ 1/sinx = -2

3. Multiply by sinx and divide by -2 ⇒ sinx = -1/2

When is sinx equal to -1/2? ⇒ 7π/6, 11π/6

The solution of the equation 2cosec x+17 = 15+cosec x is 7π/6 and 11π/6.

Given:

Find:

Solution:

2Cosec x + 17 = 15 + Cosec x

⇒ 2Cosec x - Cosec x = 15 - 17

⇒ Cosec x = -2

Now, 1/sinx = -2

   ⇒  sinx = -1/2

we know, sin 30° = 1/2

Since, sinx is negative,

x will be in 3rd and 4th quadrant.

value in 3rd quadrant = 180° + 30° = 210°

value in 4th quadrant = 360° - 30° = 330°

So, x = 210° = 210 * π/180 = 7π/6

Also, x = 330° = 330 * π/180 = 11π/6

To learn more about the equation on the interval, refer to:

https://brainly.com/question/14266131

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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.

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:

it is 4 or 3 i think 4 more tho

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

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.