Solve the triangle. A = 32°, a = 19, b = 14 (1 point) B = 23°, C = 125°, c ≈17.6 Cannot be solved B = 23°, C = 125°, c ≈29.4 B = 23°, C = 145°, c ≈23.5

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Given the triangle with: A = 32°, a = 19, b = 14

The sine rule states that for a triangle with lengths of a, b and c and the corresponding angles which are opposite the sides as A, B and C, then the following rule holds:

[tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]

Given, that for triangle ABC; A = 32°, a = 19, b = 14. therefore:

[tex]\frac{a}{sinA}=\frac{b}{sinB}\\\\\frac{19}{sin(32)}=\frac{14}{sin(B)}\\\\sin(B)=\frac{14*sin(32)}{19} \\\\sin(B)=0.39\\\\B=sin^{-1}(0.39)\\\\B=23^o[/tex]

A + B + C = 180° (sum of angles in a triangle)

32 + 23 + C = 180

55 + C = 180

C = 180 - 55

C = 125°

[tex]\frac{a}{sin(A)}=\frac{c}{sin(C)}\\\\\frac{19}{sin(32)}=\frac{c}{sin(125)} \\\\c=\frac{19*sin(125)}{sin(32)} \\\\c=29.4[/tex]

Answer 2

Answer:

B = 23°, C = 125°, c ≈29.4

Step-by-step explanation:


Related Questions

can someone explain to me what it means to be marked as branliest? & what it does ?

Answers

Honestly, for me, it just provides bragging rights. Also, I guess it makes you feel better about getting your rank higher. (~ ̄▽ ̄)~

____________________________________________________________

正直なところ、私にとって、それは自慢する権利を提供するだけです。また、ランクを上げることで気分が良くなると思います。(~ ̄▽ ̄)~

John needs to purchase a table for his room. John measured the space available as 4 ft. the actual measurement was 2.5 ft. what is John percent error.​

Answers

Answer:

62.5%

Convert fraction (ratio) 2.5 / 4 Answer: 62.5%

Step-by-step explanation:

Creating a ratio to represent the amount he was specifically off by, which inherently gives you John's percent error.

D'Andre's Donuts makes both chocolate and plain glazed donuts. Each Saturday, they make 13 plain glazed donuts for every 7 chocolate glazed donuts. These are Kelli's favorite donuts. What is the ratio of chocolate glazed to plain glazed?

Answers

Answer:

The ratio is 7 : 13

Step-by-step explanation:

Given that:

Number of plain glazed donuts made on Saturday = 13

Number of chocolate glazed donuts made on Saturday = 7

Ratio of chocolate glazed donuts to plain glazed donuts;

Chocolate glazed donuts : Plain glazed donuts

7 : 13

Hence,

The ratio is 7 : 13

PLEASE HELL I NEED THIS ONE FAST PLEASE

Which statement is true about the decimal expansion of ? 3/7
O A. It is a rational number because it is a terminating decimal.
○B. It is an irrational number because it is not a terminating decimal.
○C. It is a rational number because after reaching a remainder of 3 for the second time the quotient will start repeating.
O D. It is an irrational number because after reaching a remainder of 3 for the second time the quotient will start repeating.​

Answers

Answer:

A is the answer because divide 7 divided by 3 a

A rug shaped like a rectangle is 2.5 meters long and 1.8 meters wide what is the perimeter in meters of the rug

Answers

Answer:

P = 8.6 m

Step-by-step explanation:

Given that,

The length of a rectangle = 2.5 m

The width of a rectangle = 1.8 m

We need to find the perimeter of the rug. The perimeter of a rectangle is given by :

P=2(l+b)

= 2(2.5+1.8)

= 8.6 m

So, the perimeter of the rug is 8.6 m.

Two pencils and one pen cost $0.80, and one pencil and two pens cost $1.15. How many cents would three pencils cost

Answers

Answer:

.33 cents

Step-by-step explanation:

i will give the best answer brainliest!!

Answers

Answer: none of them are correct

Step-by-step explanation:

BECUASE if it is then it would show it on the nuber line.

Answer:

A

Step-by-step explanation:

Add 3 to each side, there's your answer there.

Select the correct answer.

The branch manager of a clothing store is analyzing the average total bill of sale for his location. The national manager has communicated that

the overall population mean is $45.90 with a standard deviation of $10.3.1. The branch manager has a sample of 400 total bills of sale for his

location. By the central limit theorem, which interval can the branch manager be 95% certain that the sample mean will fall within?

Answers

Answer:

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

Step-by-step explanation:

Empirical Rule:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

Mean $45.90, standard deviation $10.31.

Sample:

By the Central limit theorem, mean $45.90, standard deviation [tex]s = \frac{10.31}{\sqrt{400}} = \frac{10.31}{20} = 0.5155[/tex]

Which interval can the branch manager be 95% certain that the sample mean will fall within?

By the Empirical Rule, within 2 standard deviations of the mean. So

45.90 - 2*0.5155 = $44.87

45.90 + 2*0.5155 = $46.93

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

Please help me !!! I will give branlyist ONLY IF RIGHT Question 2 (5 points)
(05.02)
A triangle can be formed with side lengths 4 in, 5 in, and 8 in. (5 points)
1) True
2) False

Answers

Answer:

true

Step-by-step explanation:

the triangle inequality statement says the sum of any two sides must be greater than the third side

value 4, 5, and 8 work

4 + 5 > 8  true

4 + 8 > 5  true

5 + 8 > 4  true

HURRYYYYYY I’LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST CORRECTLY

i already wasted all my points on questions nobody answered if someone answers this CORRECTLY you’re the best person ever

The function below has at least one rational zero. Use this fact to find ALL zeros of the function.

g(x)=5x^3+x^2-20^x-4

If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.

Answers

Answer: 4 zeros

Step-by-step explanation:

If you want to use the Rational Zeros Theorem, as instructed, you need to use synthetic division to find zeros until you get a quadratic remainder.

 

P: ±1, ±2, ±3, ±6  (all prime factors of constant term)

Q: ±1, ±7              (all prime factors of the leading coefficient)

 

P/Q: ±1, ±2, ±3, ±6, ±1/7, ±2/7, ±3/7, ±6/7  (all possible values of P/Q)

 

Now, start testing your values of P/Q in your polynomial:

 

f(x)=7x4-9x3-41x2+13x+6

 

You can tell f(1) and f(-1) are not zeros since they're not = 0Now try f(2) and f(-2):

 

f(2)=7(16)-9(8)-41(4)+13(2)+6

       112-72-164+26+6 ≠ 0

f(-2)=7(16)-9(-8)-41(4)+13(-2)+6

       112+72-164-26+6 = 0  OK!! There is a zero at x=-2

 

This means (x+2) is a factor of the polynomial.

Now, do synthetic division to find the polynomial that results from

(7x4-9x3-41x2+13x+6)÷(x+2):

 

-2⊥ 7   -9   -41    13     6

         -14   46   -10    -6          

      7  -23   5       3     0     The remainder is 0, as expected

 

The quotient is a polynomial of degree 3:

 

7x3-23x2+5x+3

 

Now, continue testing the P/Q values with this new polynomial.  Try f(3):

 

f(3)=7(27)-23(9)+5(3)+3

      189-207+15+3 = 0  OK!!  we found another zero at x=3

 

Now, another synthetic division:

 

3⊥ 7   -23    5     3

          21   -6   -3_

    7    -2    -1    0    

 

The quotient is a quadratic polynomial:

 

7x2-2x-1  This is not factorable, you need to apply the quadratic formula to find the 3rd and 4th zeros:

 

x= (1±2√2)÷7  

 

The polynomial has 4 zeros at x=-2, 3, (1±2√2)÷7

The graph of the linear function is shown on the grid .What is the slope of the line ?.
A) -10
B) -3/2
C) -2/3
D) 2

Answers

..........The answer is A

Think you can answer this?

Answers

The answer is d!
Explanation:

PLEASE HELP YOU WILL GET BRAINLIEST IF YOU GET THIS RIGHT FIRST

Answers

The answer is angle CED is 48.

how do you tell if an equation is a function ​

Answers

You can tell whether a relation is a function by plotting the numbers on a graph and applying the vertical line test. If no vertical line passing through the graph intersects it at more than one point, the relation is a function.

Answer:

Step-by-step explanation:  You can tell whether a relation is a function by plotting the numbers on a graph and applying the vertical line test. If no vertical line passing through the graph intersects it at more than one point, the relation is a function.

______________________________

Have a nice day!

10g of Copper reacts with 5g of Sulfur

Write the ratio of Copper to Sulphur

Answers

I think it is 2:1 because If you simply them down

List three examples of words/phrases that describe the mathematical operation of addition. (Example "Increased by") *

Answers

Answer:

Increased by, added, brought up (All I know of haha)

Step-by-step explanation:

Theres really no explanation to this other than learning your mathematical terms.

a square has an area of 1 square unit what is the length of the square

Answers

Answer:

The length is one

Step-by-step explanation:

The formula to find the area of aa square is B*H. This means to solve, you do 1*1, since the base and height are both 1, and 1*1=1

The length of a rectangular table is 3 times its width. If the total perimeter of the table is 36 meters. What is the length and the width of the table?

Answers

Answer:

Length = 13.5 m

Width = 4.5 m.

Step-by-step explanation:

Use an equation in x, where x = width of the table.

Length =  3x, so:

2*3x + 2x = 36

6x + 2x = 36

8x = 36

x = 36/8 =  4.5 metres.

So the length = 3*4.5 = 13.5 and width = 4.5 m.

Length = 13.5 m

Width = 4.5 m.

What is the perimeter?

A closed route that covers, encircles, or outlines a one-dimensional length or a two-dimensional form is called a perimeter.

Given, The length of a rectangular table is 3 times its width. If the total perimeter of the table is 36 meters.

Use an equation in B, where B = width of the table.

Length =  3B,

2*3B + 2B = 36

6B + 2B = 36

8B = 36

B = 36/8 =  4.5 meters.

So the length = 3*4.5 = 13.5 and width = 4.5 m.

Therefore, the length and the width of the given rectangle are 4.5 and 13.5 respectively.

Learn more about perimeter here:

https://brainly.com/question/9369181

#SPJ2

Timothy purchased a computer for $1,000.


The value of the computer depreciates by 20% every year.


This situation represents [a.) exponential decay, b.) exponential growth]


The rate of growth or decay, r, is equal to [c.) 0.8, d.) 1.2, e.)0.2

year.


So the value of the computer each year is [f.) 20 %, g.) 80%, h.) 120%] of the value in the previous year.


It will take [i.) 3, j.) 2, k.) 4, l.) 5.] years for the value of the computer to reach $512.

Answers

Answer:

This situation represents [a.) exponential decay

The rate of growth or decay, r, is equal to  c.) 0.2

So the value of the computer each year is g.) 80% of the value in the previous year.

It will take [i.) 3 years for the value of the computer to reach $512.

Step-by-step explanation:

Since the value depreciates each year, it represents exponential decay.

The rate of growth or decay, r, is equal to

Depreciates 20%, so r = 0.2.

So the value of the computer each year is ... of the value in the previous year,

Depreciates 20%, so it is 100% - 20% = 80% of the value in the previous year.

It will take x years for the value of the computer to reach $512.

The value of the computer after x years is given by:

[tex]V(x) = V(0)(1-r)^x[/tex]

In which V(0) is the initial value and r is the decay rate. So

[tex]V(x) = 1000(1-0.2)^x[/tex]

[tex]V(x) = 1000(0.8)^x[/tex]

We want to find x for which V(x) = 512. So

[tex]V(x) = 1000(0.8)^x[/tex]

[tex]512 = 1000(0.8)^x[/tex]

[tex](0.8)^x = \frac{512}{1000}[/tex]

[tex](0.8)^x = (0.512)[/tex]

Applying log to both sides:

[tex]\log{(0.8)^x} = \log{(0.512)}[/tex]

[tex]x\log{0.8} = \log{(0.512)}[/tex]

[tex]x = \frac{\log{0.512}}{\log{0.8}}[/tex]

[tex]x = 3[/tex]

So it will take 3 years.

Please help me i will give a Brainly and 100 points

Answers

Answer:

Part a) The graph in the attached figure

Part b) The units rate of change is 9

Step-by-step explanation:

we know that

A relationship between two variables, t, and d, represent a proportional variation if it can be expressed in the form  or

step 1

Find the constant of proportionality k

For

substitute

the linear equation is equal to

using a graphing tool

see the attached figure

step 2

Find the unit rate

we know that

In a proportional relationship the constant of proportionality k is equal to the unit rate of change or slope m of the line, because the line passes through the origin

so

The units rate of change is 9

That means------> A change of 1 unit in t correspond to a change of 9 units in d

see the attached figure to better understand the problem

Answer:

Have a nice day! Answer is above good luck:)

< 1 2 The circumference of a circle is 47.1 feet. What is the diameter of the circle? ​

Answers

Step-by-step explanation:

[tex]47.1 = 2\pi \times r \\ r = \frac{47.1}{2\pi} = 7.4962996 \\ diameter = 2 \times r \\ = 14.99 = 15 \: feet[/tex]

PLS HELP ME Find a sum equivalent to the product shown. 5(x+z)

No answers just trollling will be reported

Answers

Answer:

20

Step-by-step explanation:

please help meeeeeeeeeee

Answers

Answer:

area of trapezoid is  [tex]\mathbf{Area=(\frac{4+8}{2})\times 6}[/tex]

Step-by-step explanation:

We have

a = 4 cm

b = 8cm

h = 6cm

We need to find area of trapezoid

The formula used is: [tex]Area=\frac{a+b}{2}\:h[/tex]

Putting values and finding expression:

We will not be solving the expression as question required just to find the expression by putting respective values.

[tex]Area=\frac{a+b}{2}\:h\\Area=(\frac{4+8}{2})\:\times 6[/tex]

So, area of trapezoid is  [tex]\mathbf{Area=(\frac{4+8}{2})\times 6}[/tex]

A bacterial culture is known to grow at a rate proportional to the amount present. After one hour, there are 1000 strands of bacteria and after four hours, 3000 strands. Find an expression for the number of strands present in the culture at any time t. What is the initial number of strands

Answers

Answer:

The expression is: [tex]P(t) = 693e^{0.3662t}[/tex]

The initial number of strands is 693

Step-by-step explanation:

A bacterial culture is known to grow at a rate proportional to the amount present.

This means that the bacterial model can be modeled by the following equation:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population, and r is the growth rate.

After one hour, there are 1000 strands of bacteria

This means that [tex]P(1) = 1000[/tex], So

[tex]P(0)e^{r} = 1000[/tex]

[tex]P(0) = \frac{1000}{e^{r}}[/tex]

After four hours, 3000 strands.

This means that P(4) = 3000. So

[tex]P(0)e^{4r} = 3000[/tex]

Since [tex]P(0) = \frac{1000}{e^{r}}[/tex], we have that:

[tex]\frac{1000}{e^{r}}e^{4r} = 3000[/tex]

[tex]\frac{e^{4r}}{e^{r}} = \frac{3000}{1000}[/tex]

[tex]e^{4r-r} = 3[/tex]

[tex]e^{3r} = 3[/tex]

[tex]\ln{e^{3r}} = \ln{3}[/tex]

[tex]3r = \ln{3}[/tex]

[tex]r = \frac{\ln{3}}{3}[/tex]

[tex]r = 0.3662[/tex]

The initial population is:

[tex]P(0) = \frac{1000}{e^{0.3662}} = 693[/tex]

The expression is:

[tex]P(t) = 693e^{0.3662t}[/tex]

The equation becomes [tex]y=694(1.44)^t[/tex]. The initial number of strands is 694.

An exponential growth is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the number of strands after t hours.

After one hour, there are 1000 strands of bacteria:

1000 = ab¹

ab = 1000    (1)

After four hour, there are 3000 strands of bacteria:

3000 = ab⁴

ab⁴ = 3000    (2)

Dividing equation 2 by 1:

b³ = 3

b = 1.44

ab = 1000

a = 1000/b = 1000/1.44 = 694

The equation becomes [tex]y=694(1.44)^t[/tex]

Find out more at: https://brainly.com/question/12490064

The width of a rectangle is 7 inches less than the length. The perimeter is 62 inches. Find the length and the width.

Answers

Answer: Perimeter = 2(L) + 2(W) Length = 7W - 2 Perimeter = 60 60 = 14W - 4 + 2(W) 60 =16W - 4 64 = 16W Width = 4 Length = 7(4) - 2 Length = 26

I hope this helped!

Step-by-step explanation:

Shonna is reading a 528 page book she reads 22 pages every day how many days will it take Shana to read the entire booK

Answers

Shona has 528 over 672

What is the sum of
1
8
+
5
16
+
3
8
?

Answers

Answer:

41

Step-by-step explanation:

Answer:

18+516+38=18+554=572

△ abc is an equilateral triangle, bc must be 2 cm True or False

Answers

False. Hope this helps

A laundromat charges $1.50 to wash and $1.25 to draw a load of laundry.
Choose all of the points that would lie on a graph representing the total cost, y, to wash and dry x loads of laundry:

A. (2, 2.75)
B. (2, 5.50)
C. (3, 6.75)
D. (3, 9.75)
E. (4, 10.25)
F. (4, 11.00)

Answers

Answer:

High possibility it is A, C, D. I apologize if wrong

Step-by-step explanation:

Answer:B, C, E

Step-by-step explanation:

Solve for y:

76y = 19
A. y = 4
B. y = 2/3
C. y = 1/4
D. y = 38

Answers

Answer:

C.     y=1/4

Step-by-step explanation:

76y=19

y=19/76

7=.25 or 1/4

Answer:

Hi! The correct answer is C. y = 1/4

Step by step explanation:

Divide each term by 76 and simplify.

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