In ΔSTU, u = 23 inches, ∠T=158° and ∠U=17°. Find the length of t, to the nearest 10th of an inch.

Answers

Answer 1

Answer: t = 29.5 inches

Step-by-step explanation:

Given that the ΔSTU, u = 23 inches, ∠T=158° and ∠U=17°. 

We can Find the length of t by using sine rule

t/saint = u/sinU

t/sin158 = 23/sin17

t = sin158 × 23/sin17

t = 29.47 inches

t = 29.5 inches

Answer 2

Answer:

29.5

Step-by-step explanation:


Related Questions

at a currency exchange,11 U.S. dollars can be exchanged for 10Euros. How many Euros will you receive for 1 U.S. dollars?​

Answers

Answer:

.92 euros

Step-by-step explanation:

Answer:

$0.90

Step-by-step explanation:

10:11 = 1:1.1

?:1

Euros = U.S Dollars - 0.10

0.90:1

the diameter of a circle is 12 in. Find the circumference to the nearest tenth
please helppp

Answers

Answer:

37.68in

Step-by-step explanation:

circumference = 2πr

r= radius = diameter/2 = 12/2 =6 in

C= 2πr = 2 x 3.14 x 6= 37.68in

-5(-4x-2)=-2(5-5x) this is an equation for 8th grade math

Answers

Step-by-step explanation:

20x + 10 = 10 - 10x

Now bringing like terms on one side

20x + 10x = 10 - 10

30x = 0

x = - 30

Answer:

Step-by-step explanation:

-5(-4x-2)=-2(5-5x)

20x+10=-10+10x

20x-10x=-10-10

10x=-20

x=-2

When calculating total gross pay, you should ___
A) use only your hourly wage
B)use your hourly wage and tips
C) use only your tips
D) use your hourly wage and tips minus any deductions

Answers

Final answer:

To calculate total gross pay, sum the hourly wage and tips earned. This sum represents the entire earnings before any deductions such as tax or social security are taken into account. Thus, option b is correct.

Explanation:

When calculating total gross pay, you should use your hourly wage and tips. The gross pay represents the total amount earned before any deductions, such as taxes or social security, are subtracted. To find the total gross pay, simply add the total amount of earned hourly wage to the amount received from tips.

For instance, if an employee receives $15 per hour and works for 8 hours and also earns $40 in tips, their gross pay for that day would be:

Hourly wage: $15/hour x 8 hours = $120

Tips: $40

So, the total gross pay would be $120 + $40 = $160 for that day.

So, option b is correct.

Which equations have the same value of x as 5/6x+2/3=-9? Select three options.

Answers

Answer:

A) 5x + 4 = -54

B) 6(5/6x + 2/3) = -9(6)

C) 5x = -58

Step-by-step explanation:

Answer:

a b c

Step-by-step explanation:

Asking easy questions so people can get points (answer must be right)

756 divided by 18 (show work)

Answers

18 can go in 42 times so it’s 42
42
42 goes into 756... 18 times which overall equals 42

Find the solution to the following system using substitution or
elimination:
y = 2x – 1
y = 5x – 7

Answers

Answer:

x = 2

y = 3

Step-by-step explanation:

y = 2x – 1

y - 2x = -1

y = 5x – 7

y - 5x = -7

y - 2x = -1

y - 5x = -7

_________--

3x = 6

x = 6/3

x = 2

y = 2x – 1

y = 2(2) - 1

y = 4 - 1

y = 3

[tex]x=2\\y=3[/tex]

Substitution method:The substitution method is one approach to take into consideration. When one equation with one variable is solved, this expression is then used in the other equation. The substitution method entails solving for a single variable before inserting the solution into the other equation.Elimination method:To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are inequality.Solution - (Through substitution method)

Given -

[tex]y=2x-1\\y=5x-7[/tex]

So, substitute [tex]y=2x-1[/tex] in [tex]y=5x-7[/tex].

[tex]y=5x-7\\2x-1=5x-7\\5x-2x-7+1=0\\3x-6=0\\3x=6\\x=\frac{6}{3} \\x=2[/tex]

Now, substitute [tex]x=2[/tex] in [tex]y=2x-1[/tex].

[tex]y=2x-1\\y=2(2)-1\\y=4-1\\y=3[/tex]

Therefore, [tex]x=2[/tex] and [tex]y=3[/tex].

Know more about the substitution method here:

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Determine the slope

Y=7/1x+10

Answers

Step-by-step explanation:

A scientist studies a pod of humpback whales to determine the
migration of humpback whales. What is the sample?

A. all humpback whales
B. dolphins
C. a pod of him back whales
D. all whales

Answers

Answer:

C. A pod of humpback whales

The scientists is trying to draw a conclusion about all humpback whales by looking at the behaviors of a pod of humpback whales.

11) Solve the system by the elimination method. Check the solution.

x + 5y = 25
3x + 4y = 20

Answers

Step-by-step explanation:

I hope this is what you need

PLEASE MAKE ME BRAINLIEST

-3 • x + 5y = 25
1 • 3x + 4y = 20

-3x -15y = -75
3x + 4y = 20

-11y = -50

divide both by -11y

which will equal y = 5



then you’ll do
x + 5(5) = 25
x + 25 = 25

subtract the 25’s

so x = 0

5 seconds is what fraction of a minute?

Answers

Answer:

5 seconds is 1/12 of a minute

Step-by-step explanation:

60 seconds per minute so 5/60

5/60=1/12

5 seconds is 1/12 fraction of a minute.

Fraction is used to show the quantity of a part that makes up the whole number.

One minute is = 60seconds

Therefore 5 seconds= 5/60

= 1/12

This means that 1/12 of one minute is = 5 seconds.

Learn more about fraction here:

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What is the circumference of the base?
A)37.23
B)40.80
C)43.96
D)52.34

Answers

Answer:

43.96 or c

Step-by-step explanation: formula is d times pi and that gives you c hope this helps god bless

What expression represents the volume of the prism, in cubic units?


One-halfx3 + x2

One-halfx3 + Three-halves x2

x3 + x2

x3 + 3x2

Answers

Answer:

V = [tex]1/2 x^{3}[/tex] + [tex]x^{2}[/tex]

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

The oblique prism below has an isosceles right triangle base. An oblique right triangular prism is shown. The triangular bases have 2 sides with a length of x. The length of they hypotenuse is unknown. The distance from the 2 triangular bases is (x + 3). The vertical height of the prism is (x + 2). What expression represents the volume of the prism, in cubic units?

One-halfx3 + x2

One-halfx3 + Three-halves x2

x3 + x2

x3 + 3x2

My answer:

Given that:

The oblique prism below has an isosceles right triangle base and the length of the base is x

=> the area of the base: 1/2 *x*x = 1/2[tex]x^{2}[/tex]

The vertical height of the prism is (x + 2)

=> The volume of the oblique prism is:

V = the base area * the vertical height

<=> V = 1/2[tex]x^{2}[/tex] (x + 2)

<=> V = [tex]1/2 x^{3}[/tex] + [tex]x^{2}[/tex]

We choose A

Answer:

A

Step-by-step explanation:

Side A B is parallel to Side D E in the map below.

Which proportion solves for the distance between D and E?
StartFraction 9 Over 6 EndFraction = StartFraction x Over 15 EndFraction
StartFraction 6 Over x EndFraction = StartFraction 15 Over 9 EndFraction
StartFraction 9 Over 6 EndFraction = StartFraction 15 Over x EndFraction
StartFraction 6 Over 15 EndFraction = StartFraction 9 Over x EndFraction

Answers

Given:

Given that the side AB is parallel to side DE.

The length of AB is 15 feet.

The length of BC is 9 feet.

The length of CD is 6 feet.

The length of DE is x feet.

We need to determine the proportion that solves the distance between D and E.

Proportion:

The proportion that solves the distance between D and E can be determined by the similar triangle property.

Thus, we have;

[tex]\frac{BC}{CD}=\frac{AB}{DE}[/tex]

Substituting the values, we have;

[tex]\frac{9}{6}=\frac{15}{x}[/tex]

Thus, the proportion that solves the distance between D and E is [tex]\frac{9}{6}=\frac{15}{x}[/tex]

Answer:the answer is c

Step-by-step explanation:

which algebraic representation shows the effect that a reflection over the x-axis will have on the coordinates of a figure?
A. ( x,-y )
B. (-x, y )
C. (-x, -y)
D. (-y, x )

Answers

Answer:

A, (x, -y)

Step-by-step explanation:

When something is flipped over the x axis, the y-coordinates become the opposite of what they were. It makes sense if you think about it- if it flips over the line on the x axis, the x-coordinates will stay the same, and the y coordinates will change.

The answer is A. ( x, -y)

Mark has three 4 1/2 oz cans and five 8 1/4 oz cans. How many ounces of tomatoes does Mark need?​

Answers

Answer:

54.74 ounces of tomatoes mark need.

Step-by-step explanation:

Given : Mark has three [tex]4\frac{1}{2}[/tex] oz cans and five [tex]8\frac{1}{4}[/tex] oz cans.

To find : How many ounces of tomatoes does Mark need?​

Solution :

Mark has three [tex]4\frac{1}{2}[/tex] oz cans.

i.e. [tex]3\times 4\frac{1}{2}=3\times \frac{9}{2}=\frac{27}{2}[/tex]

Mark has five [tex]8\frac{1}{4}[/tex] oz cans.

i.e. [tex]5\times 8\frac{1}{4}=5\times \frac{33}{4}=\frac{165}{4}[/tex]

Total ounces of tomatoes does Mark need is

[tex]T=\frac{27}{2}+\frac{165}{4}[/tex]

[tex]T=\frac{54+165}{4}[/tex]

[tex]T=\frac{219}{4}[/tex]

[tex]T=54.75[/tex]

Therefore, 54.74 ounces of tomatoes mark need.

Which expression is the as 400.902

Answers

Answer:

4*100+.9*0.1+.002*.001

Step-by-step explanation:

Final answer:

The student's question is unclear and lacks clarity. It is recommended that they provide more information or context so that an accurate explanation can be given.

Explanation:

The question seems to be unclear. As a tutor, I would ask the student to clarify their question more specifically. The number '400.902' is indeed an expression, however, it's not clear what it's supposed to be equivalent to. Understanding the context can help provide a more accurate answer, as '400.902' could represent a multitude of things, such as a decimal, a fraction, a percentage or even part of a scientific notation. Without this information, I can't provide a reliable explanation or comparison.

Learn more about Expression Equivalence

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7. Given f(x) = x 3 (x +
5)2( 2 x-7)
a) What is the degree of this polynomial?
b) List the real zero's of f. Give the multiplicity of each zero.
c) Does the graph off touch or cross the x-axis at each zero?
d) Determine the 'end behavior' of this function. Find the monomial power function that the graph off
resembles for very large positive or negative values of x.

Answers

Answer:

a)  6.

b)  0 (multiplicity 3), -5 (multiplicity 2) and 7/2.

c) and (d) - See below.

Step-by-step explanation:

(a)  f(x) = x^3(x + 5)^2 (2x - 7)

The highest degree of x  (= x^3*x^2*x) = 3+2+1 = 6.  

(b) The zeros are 0 ( from the x^3 = 0) multiplicity 3, from  x + 5 = 0 we have -5 (multiplicity 2) and from 2x - 7 =0, 7/2.

(C)  The graph just touches the x axis at (-5, 0) and pass through at (0,0) and (7/2, 0).

(d) The graph rises to the left for very large negative values of x and falls to the right at very large values of x.

At the extreme ends this graph resembles the graph of -x^3.

If a line is 10 feet long but needs to be enlarged 150%, how long will the new line be?

Answers

Answer:

23

Step-by-step explanation:

find 10 percent and times the rest

do all quadratic equations have an axis of symmetry?

Answers

Answer:

Yes,Axis of Symmetry of a Parabola.The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a.

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

Where did Cailou come from?

Answers

Answer:

its canadian

Step-by-step explanation:

0.4(5x – 12) + 0.5x = 15.2

Answers

Look at the attached picture

Hope it will help u..

0.4(5x-12)+0.5x=15.2

We move all terms to the left:

0.4(5x-12)+0.5x-(15.2)=0

We add all the numbers together, and all the variables

0.5x+0.4(5x-12)-15.2=0

We multiply parentheses

0.5x+2x-4.8-15.2=0

We add all the numbers together, and all the variables

2.5x-20=0

We move all terms containing x to the left, all other terms to the right

2.5x=20

x=20/2.5

x=8

When do you use the 1+ and 1-? in Exponential Functions

A.When there is a percent
B. All of the time
C. Never

Answers

1+ When the percent goes to the goku

Answer:

B. All of the time

I NEED HELP, I NEED TO SHOW WORK

Answers

Answer: 9 over 12 is = 15 over x

Step-by-step explanation:

x=18
y=20

why?
just add 6 to each value to get the missing number. you get 6 by subtracting 15-9 since 9 isn’t a missing number in the first triangle.

Part A: If a circle has a diameter of 18 inches, what is the radius? Identify which multiple choice option is the correct answer:
a. 38 inches
b. 27 inches
c. 9 inches
d. 4.5 inches
Part B: Name two real-life examples of a circle.
Part C: State the process of drawing a circle with a radius of 6 inches using a compass on a piece of paper? Write a detailed explanation.

Answers

Answer:

c. 9 inches

Plates and clocks are examples of circles.

Set the compass so that it is 6 inches wide. Place the needle on the paper and twist the top of the compass so that the circle is evenly drawn.

Evaluate the expression when c=3 and x=-5.
c-7x

Answers

Steps to solve:

c - 7x; c = 3, x = -5

~Substitute

3 - 7(-5)

~Multiply

3 - (-35)

~Simplify

3 + 35

~Add

38

Best of Luck!

Look at the attached picture

Hope it will help u....

Which is larger, 3.2 x 10⁴ or 3.2 x 10⁵?

A. 3.2 x 104

B. 3.2 x 105

Answers

Answer:

3.2 x 10^5

Step-by-step explanation:

Scientific Notation

3.2 x 10^4 = 32000

3.2 x 10^5 = 320000

Final answer:

The number 3.2 x 10⁵ is larger than 3.2 x 10⁴ because it represents 320,000, compared to 32,000 which is represented by 3.2 x 10⁴. The exponent indicates the number of zeroes to follow the digit.

Explanation:

To determine which number is larger between 3.2 x 10⁴ and 3.2 x 10⁵, we need to understand the notation being used. In scientific notation, the number 10 raised to an exponent indicates how many places to move the decimal point. The larger the exponent, the larger the value.

For 3.2 x 10⁴, it means we have a 3.2 followed by 4 zeros, which is equal to 32,000. In contrast, 3.2 x 10⁵ means we have a 3.2 followed by 5 zeros, which is equal to 320,000. Clearly, 320,000 is larger than 32,000.

Thus, 3.2 x 10⁵ is larger than 3.2 x 10⁴.

solve for x.
3x − 2(x + 3) = 5 − 2x

Answers

Answer:

3 2/3

Step-by-step explanation:

I believe the answer is 3.6

solve the inequality
|0.2x+6| <0.15

Answers

Answer:

- 30.75 < x < - 29.25

Step-by-step explanation:

Inequalities of the type | x | < a , always have solutions of the form

- a < x < a

Given

| 0.2x + 6 | < 0.15, then

- 0.15 < 0.2x + 6 < 0.15 ( subtract 6 from all 3 intervals )

- 6.15 < 0.2x < - 5.85 ( divide all intervals by 0.2 )

- 30.75 < x < - 29.25

Final answer:

To solve the inequality |0.2x+6| < 0.15, we split it into two separate inequalities and find that the solution for x is -30.75 < x < -29.25.

Explanation:

To solve the inequality |0.2x+6| < 0.15, we first consider the absolute value function. This means we are looking for values of x that make 0.2x + 6 less than 0.15 and greater than -0.15. We split this into two separate inequalities:

0.2x + 6 < 0.150.2x + 6 > -0.15

Solving the first inequality for x:

0.2x < 0.15 - 6
0.2x < -5.85
x < -5.85 / 0.2
x < -29.25

Solving the second inequality for x:

0.2x > -0.15 - 6
0.2x > -6.15
x > -6.15 / 0.2
x > -30.75

Therefore, combining the two inequalities, we find the solution for x is:

-30.75 < x < -29.25.

Multiplying special case polynomials: 48 squared

Answers

Answer:2304

Step-by-step explanation:

All you have to do is 48x48, hope this helped you!

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Which of the following was a cause of the Great Depression? Second Link Services granted restricted stock units (RSUs) representing 16 million of its $1 par common shares to executives, subject to forfeiture if employment is terminated within four years. After the recipients of the RSUs satisfy the vesting requirement, the company will distribute the shares. The common shares had a market price of $10 per share on the grant date. 1. Ignoring taxes, what is the total compensation cost pertaining to the restricted stock units Read the passage.Rovers are the best way to explore other planets. By sending rovers into space, we can learn about the universe without having to send people. Rovers are good at gathering information and measuring the planet they are on. They are also much more durable than humans and can survive much longer on a foreign planet. 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