Find the measurement indicated. Round to the nearest tenth.​

Find The Measurement Indicated. Round To The Nearest Tenth.

Answers

Answer 1

9514 1404 393

Answer:

22.015.030.0°137.0°

Step-by-step explanation:

These are all Law of Cosine problems. A generic expression for the length of side 'c' opposite angle C, which is defined by sides 'a' and 'b' is ...

  c² = a² +b² -2ab·cos(C)

The square root of this gives the side length:

  c = √(a² +b² -2ab·cos(C))

Rearranging the equation, we can obtain an expression for the angle C.

  C = arccos((a² +b² -c²)/(2ab))

These two formulas are used to solve the offered problems.

__

1) AC = √(13² +14² -2·13·14·cos(109°)) ≈ √483.506

  AC ≈ 22.0

__

2) BC = √(7² +10² -2·7·10·cos(123°)) ≈ √225.249

  BC ≈ 15.0

__

3) ∠B = arccos((24² +28² -14²)/(2·24·28)) = arccos(1164/1344)

  ∠B ≈ 30.0°

__

4) ∠B = arccos((6² +9² -14²)/(2·6·9)) = arccos(-79/108)

  ∠B ≈ 137.0°


Related Questions

Solve the equation. Find all real solutions.
9r3 - 144r = 0

Answers

Answer:

r=0

Step-by-step explanation:

9r x 3 - 144r = 0

27r-144r=0

-117r=0

r=0

4 in.
3 in.
2 in.
2 in.
6 in.
Find the surface area.
square inches
(Hint: The rectangular faces
are different sizes.)

Answers

Answer:

The correct answer is 5in

Step-by-step explanation:

6+4=10÷2=5in

how long will it take with 0.5kW power rating to do 1500J of work?

3 seconds
3 microseconds
3 minutes
0.3 seconds ​

Answers

Try finding it in this https://www.uplifteducation.org/cms/lib01/TX01001293/Centricity/Domain/273/ENERGY%20CLIMATE%20PROBLEMS-SOL.pdf

find the lateral surface area of the prism. geometry hw

Answers

Answer:

250

Step-by-step explanation:

Hello There!

The prism shown is a pentagonal prism

And we need to find the lateral surface area ( pretty much area of everything except for the bases.)

We can calculate the lateral surface area by using this formula

[tex]la=5ah[/tex]

where a (on the right hand side) equals the base edge length and h = height

(btw the 5 represents the number of sides)

so the base edge length of the shown figure is 5 and the height is 10

having found this information we plug it into the formula

[tex]la=5*5*10\\10*5=50\\50*5=250[/tex]

so we can conclude that the lateral surface area of the shown pentagonal prism is 250 cm²

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Answers

Area of square = (2x-3)^2

Area = 2x-3 x 2x-3

Area = 4x^2 -6x -6x +9

Area = 4x^2 -12x + 9

Area of ovals = x-5 + x-5 = 2x-10

Area of square - area of ovals:

4x^2  - 12x +9 - 2x -10

4x^2 -14x +19 square units

wanna know if my answer is correct (C.) please help!!!!

Which of the following is the solution to the equation 2/3x = 12?

A. X= 4
B. X= 8
C. X = 18
D. X = 24​

Answers

Answer:

the correct answer is C

Step-by-step explanation:

Solve the equation for​ x, where x is restricted to the given interval.

Answers

Step-by-step explanation:

[tex]y = 3 \csc( \frac{x}{5} ) [/tex]

[tex] \frac{y}{3} = \csc( \frac{x}{5} ) [/tex]

Multiply by 5 on both sides.

[tex]5 \times \frac{y}{3} = \csc(x) [/tex]

Take the inverse of cosecant or arccsc of the function.

[tex]5 \: arccsc( \frac{y}{3}) = x[/tex]

The trigonometric equation for​ x, where x is restricted to the given interval is x = 5 * arccsc(y/5)

What is trigonometry?

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given

y = 3 CSC(x/5) for x in given domain

y/ 3 = CSC  (x/5)

CSC(x/5) = y/3

x/5 = arccsc(y/3)

x =  5* arccsc(y/3)

Therefore, "x = 5 * arccsc(y/5)" is the trigonometric formula when x is limited to the specified range.

Learn more about trigonometry here:

https://brainly.com/question/12068045

#SPJ2

Order the angle measures from least to greatest

help please

Answers

Answer:

m<B, m<C, m<A

Step-by-step explanation:

The length of sides and angle measures correspond. This means the angle opposite to the longest side is the largest, etc. The shortest side is AC, which is the opposite of <B, making it the smallest. Then, the same logic can be applied to <C which is the middle, and <A which is the largest. Therefore, from least to greatest the angles are m<B, m<C, m<A.

Help plsssssss i'm lost il give brainiest

Answers

Answer:

A  16°

B  -8°

C  6°

D  -16°

E  -4°

Step-by-step explanation:

Look at 0° and 10°. There are 5 lines from one to the other, so each line represents 2°.

A

3 lines above 10° = 10° + 3 * 2° = 10° + 6° = 16°

B

1 lines above -10° = -10° + 2° = -8°

C

3 lines above 0° = 0° + 3 * 2° = 0° + 6° = 6°

D

2 lines above -20° = -20° + 2 * 2° = -20° + 4° = -16°

E

3 lines above -10° = -10° + 3 * 2° = -10° + 6° = -4°

What is the quotient of 15÷3?

Answers

5

Hope this helps you :D

SHOW STEPS PLEASE...

Answers

9514 1404 393

Answer:

  (5 15/20) -(2 8/20) = 3 7/20

Step-by-step explanation:

Problems in "least common denominator" are made much easier if you are familiar with your times tables.

When you compare the denominator 4 to the denominator 20, you see that ...

  20 = 5 × 4

An equivalent fraction is made by multiplying by 1. Here, the version of 1 you want for the top fractions is 5/5.

  [tex]\dfrac{3}{4}= \dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{3\cdot5}{4\cdot5}=\dfrac{15}{20}[/tex]

Similarly, the bottom fraction has its denominator multiplied by 4 to get from 5 to 20. The equivalent fraction is found by multiplying the numerator by the same number.

  [tex]\dfrac{2}{5}=\dfrac{2\cdot4}{5\cdot4}=\dfrac{8}{20}[/tex]

Then the desired difference is ...

  [tex]5\dfrac{15}{20}-2\dfrac{8}{20}=(5-2)+\left(\dfrac{15-8}{20}\right)=3\dfrac{7}{20}[/tex]

On a super clearance sale, bathing suits were marked 85% off. What is
the sale price of a bathing suit that was originally priced $60?

Answers

The sale price is $9

Answer: $9

Step-by-step explanation: 85% off means when you multiply the number by 0.85 you subtract that from the original number, 60 times 0.85 is 51 and 60-51=9! Hope this helps!

ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !

Answers

The dot isn’t shaded so > or <

From -55, it’s showing small than

From -49, it’s showing greater than

x < -55 or x > -49

Answer:  x < -55 or x > -49

Step-by-step explanation:

x < -55 or x > -49

They both start with an opened circle, and also these two opened circle dots do not connect to each other. On the left side, the number is going from -55 to the smaller side, -57 or less, so we can say that x is smaller than -55. On the right side, the number goes from -49 to the bigger number, we can say that x is greater than -49.

Mathematics challenge

Answers

Get the equation of the line containing PQ using the point-slope formula:

y - (-2) = 3/2 (x - (-6))

Solve for y to get it in slope-intercept form:

y = 3/2 x + 7

so the y-intercept is (0, 7).

The line containing QR is then

y - 7 = -3/4 (x - 0)

or

y = -3/4 x + 7

The point R is on the x-axis, so its y-coordinate is 0. Plug in y = 0 and solve for x to get the other coordinate:

0 = -3/4 x + 7

3/4 x = 7

x = 4/3×7 = 28/3

So the point R has coordinates (28/3, 0).

Answer:

Point R is on the x-axis, so its y-coordinate is 0. Plug in y = 0 and solve for x to get the other coordinate:

0 = -3/4 x + 7

Take off the zero...

3/4 x = 7

Answer

x = 4/3×7 = 28/3

And there it is

Point R has the coordinates (28/3, 0).

Step-by-step explanation:

Which two-way frequency table correctly shows the marginal frequencies?

Answers

Answer:

B

Step-by-step explanation:

The polynomial - 16 + v.t+s, represents the height (in feet) of an object, where v, is the initial vertical

velocity (in feet per second), s, is the initial height of the object (in feet), and is the time in seconds). Write a polynomial that represents the

height of the object. Then find the height of the object after 1 second.

Answers

Complete question is;

The polynomial -16t² + v_o(t) + s_o represents the height (in feet) of an object, where v_o is the initial vertical

velocity (in feet per second), s_o is the initial height of the object (in feet), and t is the time in seconds. Write a polynomial that represents the height of the object that has an initial velocity of 25 ft/s and initial height of 4ft. Then find the height of the object after 1 second.

Answer:

A) Polynomial is h(t) = -16t² + 25t+ 4

B) h(1) = 13 ft

Step-by-step explanation:

A) We are given;

h = -16t² + v_o(t) + s_o

Where;

v_o = the initial vertical velocity

s_o = the initial height of the object

t = the time

We are given;

v_o = 25 ft/s

s_o = 4 ft

Thus, polynomial that represents the height is;

h(t) = -16t² + 25t+ 4

B) after a time of 1 second, height is;

h(1) = -16(1²) + 25(1) + 4

h(1) = -16 + 25 + 4

h(1) = 13 ft

The function, f(x), is plotted below.



Evaluate the limits, if they exist. If not, write DNE.

Limit as x approaches negative 1 minusf(x) =

Limit as x approaches 3 plusf(x) =

Limit as x approaches 1 f(x) =

Answers

Answer:

1

2

DNE

Step-by-step explanation:

Melissa can ride 20 miles on her bike in 8 hours how many miles can she ride an a hour

Answers

Answer:

2.75 miles in 1 hour

Step-by-step explanation:

Kira has $2,250 sitting in a savings account that
earns 2.75% simple interest each year. If she
leaves it there untouched, how much will be in
the account after 8 years?

Answers

Answer:

2 250×96×2.75=5 940

Step-by-step explanation:

1 year=12 months

8 year's =96 Month's

first thing you need to do is to convert Years into months

Express the quantity of the Cayennepepper im lemon juice in form one​

Answers

Answer:

HUH

Step-by-step explanation:

3) Find the area of the composite figure.
8 cm
2 cm
a. 44 cm
6 cm
5 cm
b. 50 cm?
5 cm
2 cm
c. 36 cm
8 cm
d. 22 cm

Answers

Answer:

8

Step-by-step explanation:

I love these


Your answer would be (C) 36


Just added up all of the numbers

what is the total of 8 and 4 times y​

Answers

Answer:

12y?

Step-by-step explanation:

I’m assuming total meansd addition in this case and multiplying that by a variable or “y” would be 12y

i read the question wrong, nvm.

in how many ways can 4 mangoes and 3 apples be distributed among 7 children if each child receives only 2 fruit?​

Answers

solution

this is what I did. total number of ways without any restriction =900. we have to subtract the case when at least one child doesn't get any fruit. let that be C1∪C2∪C3 and we use the principle of mutual inclusion and exclusion to find that. C1∪C2∪C3=C1+C2+C3−(all two intersections)+3 intersections (no one gets a fruit case) =3⋅60−3+1=178 so case where each child gets at least one fruit =900−178=722.

Is this right, someone saying answer =49

The following dot plots compare the height of the members of the basketball team and the swimming team.



Determine the mean, median, mode and range for the dot plot. Show your work.


(2pts) Mean:

(2pts) Median:

(1pt) Mode:

(2pts) Range/Spread:

Answers

I'm not confident with the Mean but the rest should be correct.

Mean - 709.6 ( All numbers added up then, divided by the numbers there are)

Median - 65 ( Number in the middle)

Mode - 65 ( Most repeated number)

Range - 8 ( Greatest number - Smallest number)

Jimmy is writing a paper for one of his classes. The paper has to be 2,000 words long, and so far he has written 432 words. If
he only has 4 more days to write his paper and wants to write the same number of words each day, then how many words
must he write per day to finish the paper?

Answers

392 words per day for the following 4 days

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

90 degrees c

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

Also can you give me brainlist???

Answer:

90 degrees celsius

geometry 10 long 2.75 wide triangle what is the area?

Answers

i believe the answer would be 13.75 but i’m not completely sure on this so correct me if i’m wrong

If f(x)=x^5+5x^3+4, what is the remainder when f(x) is divided by x-2?

Answers

By the polynomial remainder theorem, the remainder is

f (2) = 2⁵ + 5×2³ + 4 = 32 + 40 + 4 = 76

(The theorem says a polynomial p(x) has remainder p(c) upon dividing it by x - c.)

Solving two-step equations:

106 = 1 + 7n


Answers

move 1 to the other side, making it negative
-1+106=7n
105=7n
divide both sides by 7
n=15

Answer:

n = 15

Step-by-step explanation:

106 = 1 + 7n

1-        1-

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

105 = 7n

÷7       ÷7

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

15 = n

your goal is to get the variable by itself

1. A luge race is very dangerous, and a crash can cause serious injuries. The league requires anyone who has a crash to have a thorough medical screening before they are allowed to race again. A certain performer has an independent .04 probability of a crash in each race. a) What is the probability she will have her first crash within the first 30 races she runs this season

Answers

Answer:

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

Step-by-step explanation:

For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A certain performer has an independent .04 probability of a crash in each race.

This means that [tex]p = 0.04[/tex]

a) What is the probability she will have her first crash within the first 30 races she runs this season

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

When [tex]n = 30[/tex]

We have that:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061[/tex]

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

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