In triangle ABC, what is the measure of b if a = 51, c = 38, and B = 11°?
Round the answer to the nearest hundredth.

Answer: Two triangles have the same side lengths (Ex: both triangles have sides 3, 4, and 5 cm)

Step-by-step explanation:

1) This would guarantee similarity, but not necessarily that they are identical.

2) The angle has to be included between the two sides, which is not specifed.

3) This would work (SSS congruence)

4) It is not specified if the side is opposite the corresponding angles.

Answer: 11

Step-by-step explanation:

By the Pythagorean theorem, x is about 11 cm.

Answer:

w = 3x + 1

Step-by-step explanation:

Answer:

w=3x+1

Step-by-step explanation:

The winner (w) received 1 more (+1) than 3 times (*3) the number of votes the runner-up received. Since the runner-up is represented by x the number of votes the winner received can be represented by the equation w=3x+1.

If he starts paying after four years, the worth of the loans by then is b. $31,616.16

This refers to the amount collected from a lender to be repaid after a given time, usually with added interest.

Hence, we can see that:

The effective monthly interest rate is:

i = 0.053/12 = 0.0044

The effective annual interest rate is:

i = (1 + 0.0044)^12 -1 = 0.0543

The present worth of all the loans is:

P = 6125 + 6125 (1 + 0.0543)^-1 + 6125 (1 + 0.0543)^-2 + 6125(1 + 0.0543)^-3

P = $22,671.40

If he pays them prompty, then the total lifetime cost would be

P = 22671.40 (1 + 0.0543)^4 = $31,616.16

Read more about loans here:

https://brainly.com/question/2363571

#SPJ4

Answer:

27565541.

Step-by-step explanation:

The 5-day SMA for the 10 consecutive-day closing prices are:

Day 1-5:

Day 1-5 =$242.50+$273.98+$278.16 +$293.94+ $285.04÷5

Day 1-5=$1,373.62÷5

Day 1-5=$274.724

Day 2-6:

Day 2-6=$273.98+ $278.16 +$293.94 +$285.04+$290.80÷5

Day 2-6=$1,421.92÷5

Day 2-6=$284.384

Day 3-7:

Day 3-7=$278.16 +$293.94+ $285.04+$290.80 +S296.02÷5

Day 3-7=$1,443.96÷5

Day 3-7=$288.792

Day 4-8:

Day 4-8= $293.94 +$285.04+$290.80+$296.02+ $291.01÷5

Day 4-8=$1,456.81÷5

Day 4-8=$291.362

Day 5-9:

Day 5-9=$285.04+$290.80+$296.02 +$291.01 +$293.41÷5

Day 5-9=$1,456.28÷5

Day 5-9=$291.256

Day 6-10:

Day 6-10=$290.80+$296.02+ $291.01 +$293.41+ $286.85÷5

Day 6-10=$1,458.09÷5

Day 6-10=$291.618

Therefore the 5-day SMA for the 10 consecutive-day closing prices are:

$284.384; $284.384; $288.792; $291.362; $291.256; $291.618.

Learn more about 5-day SMA for the 10 consecutive-day here: https://brainly.com/question/5549040

#SPJ1

Answer:

63

Step-by-step explanation:

the sum of the interior angles of a triangle is 180

so,

70+47= 117

180-117= 63

Answer:

Your answer is 63°

Explanation:

47 + 70 + angle C = 180° (Sum of all angles of a triangle is 180).

117 + angle C = 180°

So,angle C =180 - 117= 63°

Answer:

For part A the price per pound is the same and for 50 $ it is 10 pounds.

Step-by-step explanation:

If you divide the price by the amount of tuna they will all have an answer of 5. so then you do 50 divided by 5 and get 10.

Answer:

sum of an exterior angle is 360

2x+56+85+57+4x=360

6x+198=360

6x=360-198

6x=162

x=162/6

x=27

Answer:

Hamburger is 320 calories. Pack of french fries is 280 calories

Step-by-step explanation:

Represent Hamburgers as H and pack of French Fries as P then set up the equations

5H+2P=2160

4H+5P=2680

Multiply the first equation by 5

25H+10P=10,800

Multiply the second by 2

8H+10P=5360

Subtract the first equation by the second

25H+10P=10,800

-

8H+10P=5360

=

17H=5440

H=320

One hamburger is 320 calories.

Plug in 320 for H

5(320)+2P=2160

1600+2P=2160

2F=560

F=280

One pack of french fry is 280 calories

Answer:

Pay [tex]\$0.8[/tex].

Step-by-step explanation:

Let [tex]X[/tex] denote the observed value of this game. Let positive values denote money received and negative values denote money paid.

There are two possible values for [tex]X[/tex]:

The probability of each value is:

The expected value of this game, [tex]\mathbb{E}(X)[/tex], is an average of the outcomes [tex]x \in \lbrace 10,\, -2\rbrace[/tex] weighted by the probability [tex]P(X = x)[/tex] of each outcome:

[tex]\begin{aligned}\mathbb{E}(X) &= \sum\limits_{x} x\, P(X = x) \\ &= 10 \times P(X = 10) + (-2) \times P(X = -2) \\ &= 10 \times \frac{1}{10} + (-2) \times \frac{9}{10} \\ &= 1 - 1.8 \\ &= -0.8\end{aligned}[/tex].

The expected value of [tex]X[/tex] is [tex](-0.8)[/tex], meaning that on average, playing this game would require paying [tex]\$0.8[/tex].

To solve this problem, we have to use the area of both gauze or the dimensions on each gauze and compare them. we can see that the sheets are not similar as they have different areas.

The area of a rectangle is given as the product between the length and it's width.

Data;

[tex]area = length * width[/tex]

In the first gauze, the area is given as 45in^2 and we have value of the length. To find the width of the first gauze can be calculated as

[tex]A = length * width\\width = \frac{area}{length} \\width = \frac{45}{9} \\width = 5in[/tex]

We can see that the width are not equal so is their length.

But if we would truly compare them, the accurate way to do that is by their area

The area of the second gauze is given by

[tex]a = 3 * 4 = 12in^2[/tex]

From the above calculations, we can see that the sheets are not similar as they have different areas.

Learn more on area of a rectangle here;

https://brainly.com/question/25292087

Answer:

Music place offers better buy with $12.50

Step-by-step explanation:

Explanation:

To solve, we need to find the cost for 1 CD at both places. To do this, divide the total amount by how many CDs are bought. At CD Express, $60/4=$15, while at Music Place, $75/6=$12.50. Since Music Place is cheaper, Music Place offers a better buy.

Answer:

31 books

Step-by-step explanation:

1,055 ÷ 33 = 31.96

31 books

Answer:

<4 = 67 degrees

Step-by-step explanation:

angle 1 + angle 4 makes 180 degrees so since angle 1 is 113 degrres

180-113=67

Hope it helps:)

Answer: [tex]5x-3[/tex]

Step-by-step explanation:

First, [tex]4x-6+x+3~ < --- Simplify ~the ~expression[/tex]

[tex]4x+x-6+3[/tex]

Add the numbers [tex]-6+3=-3[/tex]:

[tex]4x+x-3[/tex]

Add similar elements [tex]4x+x=5x[/tex]:

[tex]=5x+3[/tex]

Answer:

[tex]\boxed{\tt 5x−3}[/tex]

Step-by-step explanation:

[tex]\tt 4x−6+x+3 [/tex]

Combine 4x and x = 5x:-

[tex]\tt 5x−6+3[/tex]

Now, Add -6 and 3 = -3:-

[tex]\tt 5x−3[/tex]

- :)

Answer:

true

Step-by-step explanation:

the answer is true hope it helps

it questions is my level very hard questions

Step-by-step explanation:

graph x axis

Answer:424

Step-by-step explanation:

i don't know how to explain it but this seems the most correct one, her weekly gross pay is 424 and taxes end up getting taken out of the paycheck not earnings.

Work Shown:

volume = side*side*side

volume = 9*9*9

volume = 729

A slight shortcut would be to say 9^3 = 729

Answer: it is called the slope intercept

Answer: Slope-intercept form

Step-by-step explanation:

      The equation format of y = mx + b is slope-intercept.

-> m is the slope, or the steepness of the line

-> b is the y-intercept, or where the line intersects the y-axis.

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

[tex]\bold{12 = \frac{r}{6} } \\ [/tex]

let's take 6 to the other side ~

[tex] \\ \bold{\implies \: r = 12 \times 6} \\ \\ \implies \: \bold\pink{r = 72}[/tex]

hope helpful ~

Answer:

r=72

Step-by-step explanation:

multiply both sides by 6 —> 12x6=r/6x6

12x6=r

73=r

ur welcome :)

brainliest please?

Answer: From least to greatest, it goes: -3.75, -0.55, -1/2 -3%, -1/5

The logarithm of a quotient can be written as a difference of logarithms:

[tex]\log_3\left(\dfrac uv\right) = \log_3(u) - \log_3(v)[/tex]

You can also think of this as a combination of the product-to-sum and reciprocal/power properties of logarithms:

[tex]\log_3\left(\dfrac uv\right) = \log_3\left(u \times \dfrac1v\right) = \log_3(u) + \log_3\left(\dfrac1v\right) = \log_3(u) - \log_3(v)[/tex]

To summarize,

[tex]\log_b(mn) = \log_b(m)+\log_b(n)[/tex]

[tex]\log_b\left(\dfrac mn\right) = \log_b(m) - \log_b(n)[/tex]

[tex]\log_b\left(m^n\right) = n \log_b(m)[/tex]

Answer:

Devin needs 8 cups of shampoo.

Step-by-step explanation:

The ratio for shampoo:water is 2:9, so if Devin uses 36 cups of water, he needs 36/9 x 2 = 8 cups of shampoo

[tex]let\ x\ be\ the\ number[/tex]

[tex]5x-9=6\\\\5x=15\\\\x=3[/tex]

I'm assuming you want the value of x