In ARST, r = 71 cm, /T=48° and /R=37°. Find the length of t, to the nearest 10th of
a centimeter.

Answers

Answer 1

In the given triangle, the length of side t is 87.7 cm

Calculating the length of a side in a triangle

From the question, we are to determine the length of t.

From the given information,

r = 71 cm

∠T = 48°

∠R = 37°

From the law of sines, we can write that

t / sin T = r / sin R

t / sin 48° = 71/sin 37°

t = (71 × sin 48°)/sin 37°

t = 87.6736

t ≈ 87.7 cm

Hence, the length of t is 87.7 cm

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Related Questions

HELP ME OUT THANSKSSSSS SO MUCH

Answers

Answer:

10.59

Step-by-step explanation:

Consider the curve given by the equation y² - 6y - 9x² - 144x = 576. It can be shown that dy/dx=
9(x + 8)/ Y-3

Find the x-coordinate of the point where the line tangent to the curve is the x-axis.

Answers

The x-coordinate of the point where the line tangent to the curve is the x-axis is; x = -8

How to Interpret the tangent line to a curve?

To get he x-coordinate of the point that the line tangent to the curve is the x-axis, what we will do is to equate the numerator of the derivative to zero.

Now, we are given the equation of the curve as;

y² - 6y - 9x² - 144x = 576.

We are told that It can be shown that;

dy/dx = 9(x + 8)/(y - 3)

From our earlier definition, the x-coordinate will be at;

9(x + 8) = 0

divide both sides by 9 to get;

x + 8 = 0

x = -8

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I need help with this please help me

Answers

Answer: A

Step-by-step explanation:

The three angles in a triangle add to [tex]180^{\circ}[/tex]. Therefore, each angle measures [tex]\frac{180^{\circ}}{3}=60^{\circ}[/tex].

Write 50.001 in word form

Answers

Fifty and one hundredths

What is the midpoint of AB?

Answers

Answer:h

Step-by-step explanation:

8+-6=2

Given the function R(x) = x-7/x+2 find the values of a that make the function less than or equal to zero. Write the solution in interval notation

Answers

The solution for the function R(x) = x - 7 / x + 2 ≤ 0 is −2<x≤7 or x (-2, 7].

What is function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

The function R(x) = x - 7 / x + 2

The given condition x - 7 / x + 2  ≤ 0

Solve the inequality as shown below

Here, the critical points are x = 7 and x = -2

Check the denominator for the critical point, x = -2 will not be suitable for the function as it becomes undefined,

Thus

−2<x≤7 or x (-2, 7]

Therefore, the solution for the function R(x) = x - 7 / x + 2 ≤ 0 is −2<x≤7 or x (-2, 7].

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The dinner bill comes to $30, and you want to leave a 20% tip. What is the total cost of the bill?

Answers

The total of cost of the bill will be $36

Answer:

$36

Step-by-step explanation:

First, let us make an expression to solve this using the given information.

For that let the total cost be x.

Amount of the bill                     tip                     total cost

          100                 ⇒               20          ⇒           120

           30                  ⇒               20          ⇒            x

Accordingly,

100 ⇒ 120

30   ⇒  x

Use cross multiplication and solve for x.

100x = 120 × 30

100x = 3600

Divide both sides by 100.

x = $ 36

Solve the following quadratic
function by factoring:
f(x)=x²-10x+9
Enter the number that belongs in the green box.
x = 9; x = [?]

Answers

Answer:

1

Step-by-step explanation:

x²-10x+9 = 0

(x-9)(x-1) = 0

x-9 = 0  =>  x=9

x-1 = 0  =>  x=1

NO LINKS!! You have 4 contestants in the second heat of the big race:
The equations for the contestants are:
1. Mr. Pace: y= 3/4x + 4
2. Mr. Glintz: y= 2/3x + 7
3. Ms. Liskey: y= 3x
4. Mr. Brininger: y= 1/2x + 10

Answers

Answer:

Part (c):

1st Place:  Ms. Liskey2nd Place:  Mr. Glintz3rd Place:  Mr. Pace4th Place:  Mr. Brininger

Part (d):

1st Pass:     Mr Pace           Time:  1.78 s (2 d.p.)2nd Pass:   Mr Glintz          Time:  3 s3rd Pass:    Mr Brininger    Time: 4 s

Part (e):

y = 3x + 2

Step-by-step explanation:

Given equations:

[tex]\textsf{1.\;\;Mr.\;Pace}: \quad y = \dfrac{3}{4}x + 4[/tex]

[tex]\textsf{2.\;\;Mr.\;Glintz}: \quad y = \dfrac{2}{3}x + 7[/tex]

[tex]\textsf{3.\;\;Ms.\;Liskey}: \quad y = 3x[/tex]

[tex]\textsf{4.\;\;Mr.\;Brininger}: \quad y = \dfrac{1}{2} + 10[/tex]

Plot the lines on the given coordinate plane.

(See attachment).

Draw a line at y = 25 to represent the distance at the finish line.

Find the points of intersection of the linear equation of each contestant and the finish line equation y =25.  The point with the smallest x-value is the contestant who is first place.

Mr Pace

[tex]\begin{aligned}\implies 25&= \dfrac{3}{4}x + 4\\\dfrac{3}{4}x&=21\\x&=28\; \sf seconds\end{aligned}[/tex]

Mr Glintz

[tex]\begin{aligned}\implies 25&= \dfrac{2}{3}x + 7\\\dfrac{2}{3}x&=18\\x&=27\; \sf seconds\end{aligned}[/tex]

Mr Liskey

[tex]\begin{aligned}\implies 25&= 3x\\x&=8.33\; \sf seconds\;(2\;d.p.)\end{aligned}[/tex]

Mr Brininger

[tex]\begin{aligned}\implies 25&= \dfrac{1}{2}x + 10\\\dfrac{1}{2}x&=15\\x&=30\; \sf seconds\end{aligned}[/tex]

Therefore, the order in which the contestants reached the finish line is:

1st Place:  Ms. Liskey2nd Place:  Mr. Glintz3rd Place:  Mr. Pace4th Place:  Mr. Brininger

From inspection of the attached graph, Ms Liskey (red line) passes all three contestants.  To find the time at which she passes the other contestants, substitute her equation into the contestant's equation and solve for x.

Mr Pace

[tex]\begin{aligned}\implies 3x&= \dfrac{3}{4}x + 4\\\dfrac{9}{4}x&=4\\x&=1.78\; \sf seconds\;(2\;d.p.)\end{aligned}[/tex]

Mr Glintz

[tex]\begin{aligned}\implies 3x&= \dfrac{2}{3}x + 7\\\dfrac{7}{3}x&=7\\x&=3\; \sf seconds\end{aligned}[/tex]

Mr Brininger

[tex]\begin{aligned}\implies 3x&= \dfrac{1}{2}x + 10\\\dfrac{5}{2}x&=10\\x&=4\; \sf seconds\end{aligned}[/tex]

Therefore:

1st Pass:  Mr Pace            Time:  1.78 s (2 d.p.)2nd Pass:  Mr Glintz         Time:  3 s3rd Pass:  Mr Brininger    Time: 4 s

If you want to win the race, either:

increase the slope of Ms Liskey's equation:  y = 4xor add a value to Ms Liskey's equation:  y = 3x + 2

Length (cm): Length (m)

100: 1

250: 2.5

78.2: .782

123.9: 1.239

y: ? I need to know what goes next to the y



Write an equation for the proportional relationship. Let x represent a length measured in meters and y represent the same length measured in centimeters. I don't know what would be the equation.

Answers

The equation for the proportional relationship is x=y×(1/100) where x represents length in meters and y represents same length in centimeters.

What is meant by proportionality?

The phrase proportionality refers to any relationship that always has the same ratio. The quantity of apples in a crop, for example, is proportionate to the number of trees in the orchard, with the ratio of proportionality being the average number of apples per tree.

In mathematics, two sequences of numbers, generally experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is known as the coefficient of proportionality or proportionality constant.

Given,

Length(cm): Length(m)

    100         :   1

    250         :  2.5

     78.2        :   782

     123.9       :  1.239

The value that goes next to y is,

y: y×(1/100)

Therefore, x=y×(1/100)

The equation for the proportional relationship is  x=y×(1/100)

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A positive integer is 6 less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is frac(5,9), then find the two integers.

Answers

The two integers are equal to 1 and 7 respectively.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Let x represent the smaller number. Then the given relationships say ...

1/x + 2/(x+6) = 9/7

Multiplying by 7x(x+6), we have ...

7(x+6) +14x = 9x(x+6)

9x² +54x = 21x +42 . . . . .eliminate parentheses, swap sides

9x² +33x = 42 . . . . . . . . ...subtract 21x

3x² +11 -14 = 0 . . . . . . . . . .subtract 42 and divide by 3

(3x +14)(x -1) = 0 . . . . . . . . factor

Values of x that make this true are x = 1 and x = -14/3. Then for the positive integer x=1, the other integer is x+6=7.

Therefore, the two integers are equal to 1 and 7 respectively.

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PLEASE HELP WILL GIVE BRAINLIST -3(0.5+3p)=-6(p-5.9) show ur full work in liner questions form i will get my alt and answer to get u brainliST
50 POINTS!!

Answers

Answer:

p = - 123/10 = -123/10 = -12.3

Step-by-step explanation:

-3(0.5 + 3p) = -6(p - 5.9)

Use the distributive property to multiply -3 by 0.5 + 3p

-1.5 - 9p = -6 (p - 5.9)

Use the distributive property to multiply -6 by p - 5.9

-1.5 - 9p = -6p + 35.4

Add 6p to both sides

-1.5 - 3p = 35.4

Add 1.5 to both sides

-3p = 35.4 + 1.5

Add 35.4 and 1.5 to get 36.9

-3p = 36.9

Divide both sides by -3

p = 36.9/-3

Expand 36.9/-3 by multiplying both numerator and the denominator by 10.

p = 369/-30

Reduce the fraction 369/-30 to lowest terms by extracting and canceling out 3.

p = -123/10

|6y-7|=-1 solve please

Answers

Answer:

  no solution

Step-by-step explanation:

You want the solution to the absolute value equation |6y -7| = -1.

Analysis

The expression on the left side of the equal sign is the output of the absolute value function. That output can never be negative: all negative input values are transformed to positive output values by the absolute value function.

The expression on the right side is negative. There is no value of the variable that will make the absolute value function give a negative output. There can be no solution.

What are the distances from the point (x, y) to the focus of the parabola and the directrix?
Select two answers.
distance to the focus: √(x+3)²+(y-3)²
distance to the directrix: |y+4|
distance to the focus: √(x+3)²+(y-2)²
distance to the focus: √(x-2)²+(y+3)²
distance to the directrix: |y-4|
distance to the directrix: |x-4|

Answers

The distances from the point (x,y) are given as follows:

Distance to the focus: √(x+3)²+(y-2)².Distance to the directrix: |y - 4|.

How to obtain the distance between two points?

Suppose that we have two points with coordinates given by [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

The shortest distance between them is given by the equation presented as follows:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The coordinates of the focus of the parabola are given as follows:

(-3,2).

Hence the distance of the point (x,y) to the focus of the parabola is given as follows:

√(x+3)²+(y-2)².

The equation that defines the directrix is given as follows:

y = 4.

The y-coordinate of the point is of:

y.

Hence the distance is of:

|y - 4|.

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Can someone please help me with my math homework (m^2+2m-8)/(m+4) thanks and have a good day/night/evening.

Answers

Answer:

Below

Step-by-step explanation:

The numerator factors , so you have this:

(m+4)(m-2) / (m+4)         the (m+4) 's cancel and you are left with (m-2)

Dance lessons are offered at two studios. The cost of dance lessons at each studio is shown. • Studio Q charges a $30 registration fee plus $80 per month. . Studio R charges a $105 registration fee plus $65 per month. after how many months will the total cost of the dance lessons be equal at the two studios? What will the cost be?​

Answers

Answer:

5 months and the cost is $430

Step-by-step explanation:

Let's start by figuring out the equations for both dance studios.

Q : 30 registration fee plus 80 per month.

R : 105 registration fee plus 65 per month.

We can use the variable m for months.

Registration is a flat fee, so that will be it's own term. Plus the costs per month. We will multiply the costs per month times months, m.

Q :  30 + 80m

R : 105 + 65m

Now, if we want to find out how many lessons until the costs are equal, we need to make the two equations equal to each other.

80m + 30 = 65m + 105

Now, we work backwards to find out what m is.

Subtract 30 on both sides.

80m = 65m + 75

Subtract 65m on both sides

15m = 75

Divide by 15 on both sides to isolate m.

m = 5

After 5 months, the total cost of the dance lessons will be equal at the two studios. To find out the cost, we must multiply the months back in. We can substitute 5 in for any of the equations as they are equal. I will use 80m + 30.

80(5) + 30 = ?

400 + 30 = ?

430 = ?

The cost for both studios will be equal at 5 months, with a cost of $430.

If 9 cows can fit in a field, how many fields are necessary to make sure 65 cows are all in a field?

Answers

Answer:

7.2 field or 7 field

Step-by-step explanation:

9 cows=1 field

65 cows=x field

cross multiply

9x=65×1

x=65÷9

x=7.2/7 field

Edna bought a cube-shaped jewelry box that has 7-inch sides. The volume of a cube with side s is s3. What is the volume of the jewelry box?

Answers

The volume of the jewelry box will be;

⇒ 343 inch³

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Edna bought a cube-shaped jewelry box that has 7-inch sides.

And, The volume of a cube with side s is s³.

Now,

Since, Edna bought a cube-shaped jewelry box that has 7-inch sides.

Hence, The volume of the jewelry box = 7³

                                                            = 7 × 7 × 7

                                                            = 343 inch³

Thus, The volume of the jewelry box will be;

⇒ 343 inch³

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Kelly earns $96 in 12 hours. At this rate, how many dollars will she earn in 20
hours?
OA. $160
OB. $240
O C. $200
O D. $80

Answers

96/12 = x/20

Solve it and get the answer.

A. 160
Set up your ratios: $/hours=$/hours
Plug in your values: 96/12=x/20
Cross multiply: 12x=96•20
Multiply then divide: x=160

What does the term rhetorical situation refer to?
• A. Ideals
that a speaker uses to guide a speech no matter who the
audience is
• B. A specific occurrence in ancient Greece when politicians bullied
the people
• C. The relationship between the speaker, the speaker's style of
address, and the audience's expectations
• D. Parents, teachers, and other adults who are on social networking
sites

Answers

Answer:

Step-by-step explanation:

This term refers to any set of circumstances that involves at least one person using some sort of communication to modify the perspective of at least one other person.

Answer: c

Step-by-step explanation:

j took the quiz on apex

Solve the system of equations using any method
y = x^2 + 4
y = 2x + 4

Answers

The solution of the system of equation is as follows;

x = 2y = 8

How to solve system of equation?

System of equation can be solved using different method such as elimination method, substitution method and graphical method.

Let's solve the system of equation using substitution method as follows:

y = x² + 4

y = 2x + 4

Therefore,

2x + 4 = x² + 4

x² - 2x   = 0

x² = 2x

x = 2

Let's find y

y = 2x + 4

y = 2(2) + 4

y = 4 + 4

y = 8

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Which set of rational numbers is arranged from least to greatest? (4 points) a −3.5, negative 1 over 4 , 2, 1 over 3 b −3.5, negative 1 over 4 , 1 over 3 , 2 c 2, 1 over 3 , negative 1 over 4 , −3.5 d negative 1 over 4 , 1 over 3 , 2, −3.5

Answers

The set of rational numbers arranged from least to greatest is -3.5, -1/4, 1/3, 2, which is option (b).

What is a rational number?

Any number that can be represented as the ratio of two integers and where the denominator is not zero is referred to as rational.

The given sets of rational numbers are:

(a) -3.5, -1/4, 2, 1/3

(b) -3.5, -1/4, 1/3, 2

(c) 2, 1/3, -1/4, -3.5

(d) -1/4, 1/3, 2, -3.5

Note that 1/4 = 0.25 and 1/3= 0.33

Therefore, the set of rational numbers arranged from least to greatest is -3.5, -1/4, 1/3, 2, which is option(b).

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SOLVE FOR N

3/2 -1/2n= 2n+3
N =

Answers

Answer: n= -3/5 OR n= -0.6

Step-by-step explanation:

exact form and decimal form

The functions f(x) and g(x) are shown in the graph. What is g(x)?

Answers

The answer is D
g(x)=(x-2)^2

Graph the linear equation y = –2x + 6 on the coordinate plane.

Answers

The graph of the function y = - 2x + 6 is plotted and attached.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the following equation of line -

y = - 2x + 6

Given is the following equation of line as -

y = - 2x + 6

The slope of the line would be [- 2] and the [y] intercept would be [6].

Refer to the graph attached.

Therefore, the graph of the function y = - 2x + 6 is plotted and attached.

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Lena buys a 32-oz package of cheese. Does she have enough cheese to make 2 batches of mac-and-cheese and 3 pizzas? Explain.

Answers

Answer:

how much oz does it take to make mac and cheese and pizza? will edit when get answer

Step-by-step explanation:

Will mark brainliest :)

Answers

Answer:

hope it helps!

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

8y ≤ 10x  Divide both sides by 8

y ≤ 5/4x  Simplified

See the attached picture.  This is crossing the y axis at 0.  If you start at (0,0) and go up 5 and to the right 4.  You will see the second point graphed.  This demonstrates the slope of the line.  ≤ tells us that we are including everything below the line.

You should check out Desmos.  It is a free graphing program.  It is cool.

What does the slope tell you?
◄ 0.25 ounce of salad costs $1.
25 ounces of salad costs $1.
A salad costs $0.25 per ounce.
A salad costs $25 per ounce.

Answers

Answer: what is the answer?

Step-by-step explanation:

a salad costs $0.25 per ounce!:)

Suppose that 16 inches of wire costs 80 cents. At the same rate, how many inches of wire can be bought for 45 cents?​

Answers

9 inches. The math: the ratio of 16/80 is equal to 1/5. So, x/45 must also equal 1/5. (x/45=1/5) Multiply both sides of the equation by 45 to isolate the x value; x=9.

If a person weighs 290 lbs, how much of a dosage should they get every 4 hours if they need to be
administered 11.9 mg/kg? Round to 1 decimal.

Answers

290 lbs is the same as 131.542 kg.

So, they should be administeted (131.542)(11.9) mg, which is about 15.65 mg.

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