Given: ΔABC; a= 10; b = 4, and c = 11. Find the measurement of ∠B to the nearest tenth of a degree. A) 21.3° B) 24.7° C) 25.1° D) 31.4°

Answers

Answer 1
A) 21.3° is the answer, you must do the angle version of the law of cosines.

Related Questions

I need help finding the area
Thanks in advance

Answers

We have the square and four half of the circles.

The area of the square:

[tex]A_s=3^2=9\ m^2[/tex]

The area of the four half of the circles is equal the area of two circles.

[tex]A_c=\pi\cdot1.5^2=2.25\pi\ m^2[/tex]

The area of the figure:

[tex]A_F=A_s+2A_c\to A_F=9 +2\cdot2.25\pi=(9+4.5\pi)m^2[/tex]

Jada has picked 1 cup of strawberries for a cake, which is enough for 3/4 of the cake. How many cups does she need for the whole cake?

Answers

Let's say that the number of cups of strawberries Jada needs for the whole cake is x. The problem says that 3/4 of the cake is equal to 1 cup of strawberries, so we can set up the following equation:
3/4x = 1
We can solve this equation by multiplying both sides of the equation with 4/3, so it cancels out with the 3/4. Make sure to do this to both sides!
So, you get:
x=4/3
Jada needs 4/3 cups of strawberries for the whole cake.
The answer is 4/3 hope that helps

Jackson is playing a video game that has 3 castles to conquer within each level. Jackson has completed 5 levels so far. If x represents the number of remaining levels to complete, which of the following equations can be used to find the total number of castles Jackson will have conquered once he completes the final level?

Answers

Final answer:

The equation to find the total number of castles conquered by Jackson is 15 + 3x, where x represents the remaining levels. Jackson has conquered 15 castles in 5 levels and will conquer 3 more for each additional level he completes.

Explanation:

The question relates to creating an equation to find the total number of castles Jackson will have conquered after completing all levels in a video game. Jackson has completed 5 levels, and there are 3 castles within each level. If x represents the remaining levels to complete, we can create the equation by considering the total number of castles conquered in the levels completed (5 levels × 3 castles/level = 15 castles) and adding it to the castles that will be conquered in the remaining levels (x levels × 3 castles/level). The equation representing the total number of castles Jackson will have conquered once he completes the final level is:

Total castles = (5 × 3) + (x × 3) = 15 + 3x

As a separate example unrelated to Jackson's equation, there is the classical problem involving grains of rice and a chessboard that demonstrates exponential growth. In this example, one grain of rice is placed on the first square of a chessboard, and the number of grains is doubled on each subsequent square. By the 64th square, you are placing a very large number of grains, and the total number minus one grain would be 264 - 1. However, the actual number of grains needed is a separate calculation from the equation for Jackson's video game question.

What is the value of the expression shown below?

3 over 5 to the power of 2 + 4 × 3 − 2

10 and 9 over 25
11 and 2 over 25
12 and 9 over 25
13 and 2 over 25

Answers

(3/5)^2 + 4 × 3 - 2
9/25 + 12 - 2
9/25 + 10
It would be 10 and 9 over 25

Answer:

[tex]10\frac{9}{25}[/tex]

Step-by-step explanation:

[tex](\frac{3}{5})^2 + 4 * 3 - 2[/tex]

Simplify the given expression

WE use order of operation PEMDAS

Parenthesis, exponents, multiply , divide , add and subtract

LEts start with parenthesis

[tex](\frac{9}{25})+ 4 * 3 - 2[/tex]

now we multiply

[tex](\frac{9}{25})+12 - 2[/tex]

now subtract 2

[tex](\frac{9}{25})+10[/tex]

This can be written as [tex]10\frac{9}{25}[/tex]

PLZZZZZZZZZHELP HURRY!!! What is the difference (2x-3) - (x- 1)

x-4
x-2
x+2
x+4

Answers

(2x - 3) - (x - 1) = 2x - 3 - x + 1 = x - 2

The answer is x-2.
So, first subtract 2x by x to both sides. Now you have x - 3 - 1 add 3 to both sides. and now you have x + 2 

So sorry, I just don’t understand this Please I’m almost done.

Answers

It is worked exactly the same way your other problem was worked.
https://brainly.com/question/9128908

Atrap = (1/2)*(9+5)*5 = 35
Arect = 5*(9 +5 +5 +6.4) = 127
Atot = 127 +2*35 = 197 . . . . in^2

The back-to-back stem-and-leaf plot below shows the ages of patients seen by two doctors in a family clinic in one day. Compare the ages of the patients of doctor 1 and doctor 2 using the mean and the median of each data set. Doctor 1 Doctor 2 | 3 | 5 9 2 0 | 2 | 0 0 2 3 6 8 7 5 | 1 | 3 7 9 7 3 2 1 1| 0 | 2 2 3 9 Key: means 29 9|2|3 means 23
I don't quite know how to do this, so if someone could guide me through it that would be nice..!

Answers

The mean of the ages of Doctor 1's patients is 13.54 and the median is 15. The mean of the ages of Doctor 2's patients is 16 and the median is 19.

Explanation:
The mean is found by adding together all of the data points and then dividing by the number of data points. For Doctor 1, (32+20+22+29+15+17+18+1+1+2+3+7+9)/13 = 176/13 = 13.54.

For Doctor 2, (35+20+20+22+23+26+13+17+2+2+3+9)/12 = 192/12 = 16.

The median is the middle number in the data set after it has been ordered from least to greatest. The stem-and-leaf plot organizes it, so we find the middle value.

For Doctor 1, 15 is in the middle.

For Doctor 2, the middle is between 26 and 13: (26+13)/2 = 39/2 = 19.5

Answer:

The mean of the ages of Doctor 1's patients is 13.54 and the median is 15. The mean of the ages of Doctor 2's patients is 16 and the median is 19.

Step-by-step explanation:

Write an equivalent expression for 1/y^-1/4 using positive exponents

Answers

Answer to your question is 1/4y

I hope this helps. God bless

Answer:

The required exponent is [tex]y^{\frac{1}{4}}[/tex]

Step-by-step explanation:

Consider the provided expression.

[tex]\frac{1}{y^{-\frac{1}{4}}}[/tex]

We need to write the above expression into positive exponent form.

Now apply the exponent rule: [tex]\frac{1}{a^{-b}}=a^b[/tex]

By using the above rule we can rewrite the above expression as shown:

[tex]\frac{1}{y^{-\frac{1}{4}}}=y^{\frac{1}{4}}[/tex]

Hence, the required exponent is [tex]y^{\frac{1}{4}}[/tex]

is (8,3) solution to 3x-4y>12

Answers

What you would do to figure this out is plug in x and y.

3(8)-4(3)>12

24-12>12

12>12

12 cannot be greater than twelve because they’re equal so it’s not.

Have a good day!

A circle has an area of 49•3.14 square units. What is the diameter of the circle?

Answers

The area of a circle is πr².

First we will solve for r, radius, and then double it to find the diameter.

153.86 = (3.14)(r)²
49 = r²
√49 = r
7 = r

Now the diameter:

7*2 = 14

So the diameter is 14 units.

Hope this helps :)

Find the surface area of each triangular prism

Answers

If a and b represent the height and base of the triangular face, and h represents the length of its hypotenuse, and w represents the width or thickness of the prism, the surface area (A) is
.. A = ab +w*(a +b+ h)

Of course the area of each triangle is (1/2)ab, but there are two of them, so their total area is ab.

Put in the numbers and do the arithmetic. If you have a lot of them all specified in this way, a spreadsheet can make short work of it.

A = 5*12 +4*(5 +12 +13) = 160 . . . square inches

Suppose g(x)=f(2x) when f(x)=x^2-4x-5. Find the standard expression for g(x).
Please show steps.

Answers

we have that

f(x)=x²-4x-5      g(x)=f(2x)

step 1
find --------> f(2x)
that means that the variable is now going to be 2x instead of x
so
f(2x)=(2x)²-4(2x)-5------------> 4x²-8x-5

therefore

f(2x)=4x²-8x-5
and
g(x)=4x²-8x-5

the answer is 
g(x)=4x²-8x-5




The table shows the results of two surveys that randomly sampled 50 families about their preferred ways to travel to a vacation destination.
Plane Car Bus Total
Survey 1 17 27 6 50
Survey 2 21 20 9 50

Which statement can be made about families' preferred ways to travel to a vacation destination based on the information in the surveys?

A)Families prefer to ride the bus when traveling on vacation.

B) More families prefer to travel by car on vacation than by bus.

C) Families prefer to ride the bus over flying when traveling on vacation.

D) Most families fly when going on vacation

PLEASEEEEEEEEEE HELP ME OUT SOMEONE 22 PTS AND I WILL GIVE YOU THE BRAINLEST

Answers

Answer:

B) More families prefer to travel by car on vacation than by bus

Which of the following is equivalent to √20

A. 4
B. 5√2
C. 2√5
D. 20

Answers

Answer is 4 because it can be multiplied by 5

What is the value of X in the figure

Answers

Well since the 22 has already been taken out of the right angle which equals 90 degrees.Just subtract 22 from 90 and you will get 68 as the value of x!!!!!!

Hope this helped
-wakanda forever

what property is 6x + (9+3x) in? A. Distributive B. Combine like terms C. Associative property of addition D. Commutative property of addition

Answers

Hello there!


The correct answer is option B

6x + (9 + 3x)

Combine like terms

6x + 9 + 3x

9x + 9


I hope this helps!

The expression can be simplified using the distributive property, but it is not in its simplest form, Option A is correct.

What is Expression?

An expression is combination of variables, numbers and operators.

The expression 6x + (9+3x) is in the distributive property.

To see why, we can apply the distributive property of multiplication over addition, which states that a(b + c) = ab + ac. In this case, we have:

6x + (9+3x) = 6x + 9 + 3x

Here, the expression 6x is being distributed over the parentheses, which contain 9 and 3x. We can combine the constants 6x and 9, as well as the like terms 6x and 3x, using the commutative and associative properties of addition:

6x + 9 + 3x

= 6x + 3x + 9

= (6x + 3x) + 9

= 9x + 9

So, the expression can be simplified using the distributive property, but it is not in its simplest form.

To learn more on Expressions click:

https://brainly.com/question/14083225

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PLZZZ HELP! Best answer gets brainliest! THANK YOU!

Answers

the answer would be C
Point symmetry: symmetry around a point
If you were to place a point in the center of the shape, and place a "pin" there, then rotate the shape around that point 180 degrees, the shape would match up. This shape has point symmetry.

Line symmetry: symmetry across the point
If you were to draw a line through the top right and bottom left corner of the shape, and fold the shape over the line, it would match up. This shape has line symmetry.

So, c. This has both point and line symmetry.

0.5 as a repeating decimal to a fraction
show your work

also 0.7 as a repeating decimal to a fraction
show your work

Answers

those are just repeating equivalent decimals
Final answer:

The decimal 0.5 converts to the fraction 1/2 and the decimal 0.7 converts to the fraction 7/10.

Explanation:

To convert the decimal 0.5 and 0.7 into fractions, we use the definition of a decimal. A decimal is a representation of a fraction in terms where we have a power of 10 in the denominator. For instance:

To convert 0.5 into a fraction, we can think of it as 0.5/1 which equals to 5/10 or simplifies to 1/2. Converting 0.7 into a fraction, would give us 0.7/1 which is equal to 7/10.

So, 0.5 as a decimal is 1/2 as a fraction and 0.7 as a decimal is 7/10 as a fraction.

Learn more about Converting decimals to fractions here:

https://brainly.com/question/35123994

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You plan to paint the outside of this garage, including the roof. Which calculation will help you best decide how much paint you will need? (Omit the floor of the garage in your calculation.) Add the areas of 9 rectangles and 2 triangles. Add the areas of 6 rectangles and 2 triangles. Add the volumes of 1 rectangular prism and 1 triangular prism. Add the perimeters of 4 rectangles and 2 triangles.

Answers

The four walls will be four rectangles.
The roof will be two rectangles.
The ends holding up the roof will be two triangles.

The 2nd selection is appropriate (areas of 6 rectangles + 2 triangles).

_____
Yes, you're trying to find the volume of paint, but paint is sold in terms of the number of square feet (area) it covers. Rarely do we concern ourselves with computing paint volume from the thickness of the film covering the area. Certainly, the volume of paint is substantially less than the volume of the walls or the entire garage.

Answer:

add the areas of 6 rectangles and 2 triangles

Step-by-step explanation:

Label the percent bar below with the appropriate estimations.

Answers

What are the estimations?

Answer:

it was 25%

Step-by-step explanation:

what does x equal? Plus can u pls explain cuz I have a test friday

Answers

7x and x+20 lie on the straight line so they will equal to 180. So now we can add them and set them equal to 180 so we can solve for x.

7x + x + 20 = 180
8x + 20 = 180
8x = 160
x = 20.

So the value of x is 20

Hope I helped :) 

At a hardware store, a tool set normally costs $80. During a sale this week, the tool set costs $12 less than usual. What percentage of the usual price is the saving? Explain or show your reasoning.

Answers

Original cost is $80.
Original cost is denoted by 100%

$80 represent 100%
$1 represent 100 ÷ 80 = 1.25%

Saving is $12
$12 represent 1.25 x 12 = 15%


So $12 represent 15%
 

Noshi ordered a new desk for her office. The desk came in two parts, each shaped like a trapezoid. The height of both part A and part B is 3 feet. Noshi wants to be sure the desk will fit in her office so she calculates the area of the desk. What is the total area of the desk?

Answers

Imagine you're cutting off all of the slanted sides, there would be 3. Now since there's 4 feet on one side and 9 on the other when you cut off the edges they have side which are 3 feet (the end number) and 2.5 (9-4=5/2=2.5) now since you have three pieces like this, so put 2 together and you get a shape which is 3feet by 2.5 feet. The area of this is 3*2.5 which is 7.5, cut that in half for the third piece and you get 3.25, added together that's 10.75 squared feet. Now don't forget the 3 by 4 and 3 by 5 pieces. That would be a total of 27 (3*4=12 3*5=15) 27+10.75=37.75 squared feet.
Let me know if I made a mistake any where :)

Answer:

39 ft

Step-by-step explanation:

5 Points, Time Limit, Brainliest, Please don't spam, Thanks!

The table shows the number of skirts of different colors in a closet. A fair coin is shown below the table.
Color of Skirt Number
Yellow 5
Blue 8
Green 4
Pink 3
A coin Maria selects a skirt from the closet randomly without looking and then tosses the fair coin. What is the probability that she will select a yellow skirt and that the coin will land tails up?
1 over 20
1 over 10
1 over 8
1 over 5

Answers

The awnser is 1/8
There are 20 different and 5 of them are yellow. 1/4 of them are yellow
1/2 chance of the coin have tails up
1/4 × 1/2 = 1/8
hope it helps

Answer: [tex]\dfrac{1}{10}[/tex]

Step-by-step explanation:

Given :  Number of yellow Skirt Number =5

Total skirt = [tex]5+8+4+3=20[/tex]

The probability that she will select a yellow skirt will be :_

[tex]\dfrac{5}{20}=\dfrac{1}{5}[/tex]

Total faces in coin=2

Number of tails = 1

The probability that the coin will land tails up :-

[tex]\dfrac{1}{2}[/tex]

Since ,both events are independent , then the probability that she will select a yellow skirt and that the coin will land tails up is  given by :-

[tex]\dfrac{1}{5}\dfrac{1}{2}=\dfrac{1}{10}[/tex]

The measure of an exterior angle of a regular polygon is 15 degrees. What is the sum of the measures of the interior angles of the polygon

Answers

the measurement of all interior angles of any polygon is 360 degrees

It is 360 degrees!

You can see because it is math and yeah..

when she got to school she saw that the school has nine buildings each having 30 classrooms how many classrooms does the school have

Answers

The school has 270 classrooms, hope this helps.
9(30) = 270
The answer is 9 * 30 = 270

A formula is expressed as d=a(2+kt). Express k in terms of d, a and t

Answers

Answer:
k = [tex] \frac{d-2a}{at} = \frac{d}{at} - \frac{2a}{at} = \frac{d}{at} - \frac{2}{t} [/tex]

Explanation:
To get the value of k, we will need to isolate it on one side of the equation.
This can be done as follows:
d = a(2+kt)

1- get rid of the brackets using distributive property:
d = a(2+kt)
d = 2a + akt

2- Subtract 2a from both sides of the equation:
d - 2a = 2a + akt - 2a
d - 2a = akt

3- Divide both sides of the equation by "at":
[tex] \frac{d-2a}{at} = \frac{akt}{at} [/tex] 

[tex] k= \frac{d-2a}{at} [/tex]

4- We can further simplify the answer as follows:
k = [tex] \frac{d-2a}{at} = \frac{d}{at} - \frac{2a}{at} = \frac{d}{at} - \frac{2}{t} [/tex]

Hope this helps :)

Answer:

[tex]k=\frac{d}{ta}-\frac{2}{t}[/tex]

Step-by-step explanation:

d=a(2+kt)

WE need to solve for k. our aim is to get K alone

d= a(2+kt)

To eliminate 'a' we divide by 'a' on both sides

[tex]\frac{d}{a} = 2+ kt[/tex]

To eliminte 2 we subtract 2 on both sides

[tex]\frac{d}{a}-2 =kt[/tex]

Now to isolate K we divide by 't' on both sides

When we divide a fraction by 't' then we multiply 't' at the bottom

[tex]\frac{d}{ta}-\frac{2}{t}=k[/tex]

in your sock drawer, you have 20 socks. You have two pairs of patterned socks, 4 pairs of gym socks, three pairs of striped socks, and one pair of black socks. What is the probability that you randomly pull a gym sock from the drawer? What are the odds?

Answers

the probability of getting a gym sock is 1/5

Ray is x years old. His brother Ron is y years older than Ray.

How old will Ron be in 2 years?

Answers

Ray is [tex]x[/tex] years old.

Ron is [tex]x + y[/tex] years old.

In 2 years, Ron will be two years older than now, so [tex]x + y + 2[/tex] years old.

Ray is  years old.

Ron is  years old.

In 2 years, Ron will be two years older than now, so  years old.

The rest of the students in the play are from Mr. Logan’s class and Ms. Gardner’s class.
Mr. Logan has 23 students in his class, and 7 of them are in the play. There are 4 more students from Ms. Gardner’s class than from Mrs. Cho’s class in the play.
The number of students in the play from Mr. Logan’s class is greater than the number from Mrs. Cho’s class and fewer than the number from Ms. Gardner’s class.
In all, 30% of the students in these three classes are in the play.

Show or explain why there must be exactly 23 students in Ms. Gardner’s class. As part of the explanation, determine how many students from Ms. Gardner’s class are in the play.

Answers

There should be 23 students from Ms. Gardner’s class in the play.

To determine why there must be exactly 23 students in Ms. Gardner's class and to find out how many students from Ms. Gardner's class are in the play, let's break down the problem step-by-step.

Define Variables:

  - Let L be the number of students in Mr. Logan's class.

  - Let G be the number of students in Ms. Gardner's class.

  - Let C be the number of students in Mrs. Cho's class.

  - Let [tex]P_L[/tex] be the number of students from Mr. Logan's class in the play.

  - Let [tex]P_G[/tex] be the number of students from Ms. Gardner's class in the play.

  - Let [tex]P_C[/tex] be the number of students from Mrs. Cho's class in the play.

Given Information:

  - L = 23

  - [tex]P_L[/tex] = 7

  - There are 4 more students from Ms. Gardner's class in the play than from Mrs. Cho's class: [tex]P_G[/tex] = [tex]P_C[/tex] + 4

[tex]P_G[/tex]

  - The number of students in the play from Mr. Logan's class is greater than the number from Mrs. Cho's class and fewer than the number from Ms. Gardner's class: [tex]P_C[/tex] < 7 < [tex]P_G[/tex]

  - 30% of the students in these three classes are in the play.

Calculate Total Students and Students in the Play:

  - Total students in these three classes: L + G + C

  - Total students in the play: [tex]P_L[/tex] + [tex]P_G[/tex] + [tex]P_C[/tex]

30% of the Students are in the Play:

  - 0.30 (L + G + C) = [tex]P_L[/tex] + [tex]P_G[/tex] + [tex]P_C[/tex]

Substitute L = 23 and [tex]P_L[/tex] = 7:

0.30 (23 + G + C) = 7 + [tex]P_G[/tex] + [tex]P_C[/tex]

Using [tex]P_G[/tex] = [tex]P_C[/tex] + 4 :

0.30 (23 + G + C) = 7 + ([tex]P_C[/tex] + 4) + [tex]P_C[/tex]

0.30 (23 + G + C) = 7 + [tex]P_C[/tex] + 4 + [tex]P_C[/tex]

0.30  (23 + G + C) = 11 + 2[tex]P_C[/tex]

Simplify the equation:

0.30 (23 + G + C) = 11 + 2[tex]P_C[/tex]

0.30 × 23 + 0.30G + 0.30C = 11 + 2[tex]P_C[/tex]

6.9 + 0.30G + 0.30C = 11 + 2[tex]P_C[/tex]

Rearrange the equation:

0.30G + 0.30C = 11 + 2[tex]P_C[/tex] - 6.9

0.30G + 0.30C = 4.1 + 2[tex]P_C[/tex]

Divide by 0.30:

G + C = [tex]\frac{4.1 + 2P_C}{0.30}[/tex]

G + C = [tex]\frac{4.1}{0.30} + \frac{2P_C}{0.30}[/tex]

G + C = [tex]\frac{41}{3} + \frac{20}{3}P_C[/tex]

G + C = [tex]\frac{41 + 20P_C}{3}[/tex]

From the constraints [tex]P_C[/tex] < 7 < [tex]P_G[/tex] and [tex]P_G[/tex] = [tex]P_C[/tex] + 4:

[tex]P_G[/tex] = 7

[tex]P_C[/tex] = [tex]P_G[/tex] - 4 = 7 - 4 = 3

So,

G + C = [tex]\frac{41 + 20 \cdot 3}{3} = \frac{41 + 60}{3} = \frac{101}{3}[/tex]

G + C = 33.67

Since G and C must be integers and they add up to 33.67, we need to check for plausible values of G and C. However, considering our assumptions and given constraints, we should use consistent integer values:

For:

[tex]P_G[/tex] = 7

[tex]P_C[/tex] = 3

Using the total students equation:

0.30(23 + G + C) = 7 + 7 + 3

0.30(23 + G + C) = 17

Thus:

23 + G + C = [tex]\frac{17}{0.30}[/tex]

23 + G + C = 56.67

So:

G + C = 56.67 - 23 = 33.67

Given [tex]P_C[/tex] < 7 < [tex]P_G[/tex], by resolving as integers:

G = 23

C = 11

Thus, Ms. Gardner's class must have 23 students.

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