In ΔUVW, v = 63 cm, w = 49 cm and ∠U=161°. Find the area of ΔUVW, to the nearest square centimeter.

Answers

Answer 1

The area of the triangle UVW is the amount of space on the triangle

The area of the triangle UVW is 503 square centimeters

How to determine the area of the triangle

The given parameters are:

v = 63 cm, w = 49 cm and ∠U=161°

The area of the triangle is then calculated as:

[tex]Area = \frac12 vw \sin(U)[/tex]

So, we have:

[tex]Area = \frac12 * 63 * 49 * \sin(161)[/tex]

Evaluate the product

[tex]Area = 503[/tex]

Hence, the area of the triangle UVW is 503 square centimeters

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Related Questions

x = 4y - 2z - 15
z = 2y - 4
5x = 10

Answers

Answer:

99

Step-by-step explanation:

Amber’s meal costs $14.50 at a local restaurant. The server did their job very well and Philip would like to leave a 20% tip. What amount of money should he leave as a tip?


Answers

Answer:

Total cost is $17.40

Step-by-step explanation:

First..

what is 20%

20/100 = .2 or calculator

Then

Add. .20 ×14.50

you will get 2.9

Final

Add 2.9 + $14.50

= $17.40

What is the solution to the inequality?

Express yourself in interval notation.​

Answers

Answer:

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \frac{20}{23}\:\\ \:\mathrm{Decimal:}&\:x\ge \:0.86956\dots \\ \:\mathrm{Interval\:Notation:}&\:[\frac{20}{23},\:\infty \:)\end{bmatrix}[/tex]

Step-by-step explanation:

[tex]-\frac{2}{3}\left(2x-\frac{1}{2}\right)\le \frac{1}{5}x-1[/tex]

Expand [tex]-\frac{2}{3}\left(2x-\frac{1}{2}\right)\le \frac{1}{5}x-1[/tex] [tex]-\frac{4}{3}x+\frac{1}{3}[/tex]

[tex]-\frac{4}{3}x+\frac{1}{3}\le \frac{1}{5}x-1[/tex]

[tex]\mathrm{Subtract\:}\frac{1}{3}\mathrm{\:from\:both\:sides}[/tex]

[tex]-\frac{4}{3}x+\frac{1}{3}-\frac{1}{3}\le \frac{1}{5}x-1-\frac{1}{3}[/tex]

[tex]Simplify[/tex]

[tex]-\frac{4}{3}x\le \:-\frac{4}{3}+\frac{1}{5}x[/tex]

[tex]\mathrm{Subtract\:}\frac{1}{5}x\mathrm{\:from\:both\:sides}[/tex]

[tex]-\frac{4}{3}x-\frac{1}{5}x\le \:-\frac{4}{3}+\frac{1}{5}x-\frac{1}{5}x[/tex]

[tex]Simplify[/tex]

[tex]-\frac{23}{15}x\le \:-\frac{4}{3}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]

[tex]\left(-\frac{23}{15}x\right)\left(-1\right)\ge \left(-\frac{4}{3}\right)\left(-1\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{23}{15}x\ge \frac{4}{3}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}15[/tex]

[tex]15\cdot \frac{23}{15}x\ge \frac{4\cdot \:15}{3}[/tex]

[tex]Simplify[/tex]

[tex]23x\ge \:20[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}23[/tex]

[tex]\frac{23x}{23}\ge \frac{20}{23}[/tex]

[tex]\mathrm{Simplify}[/tex]

Hence the final answer is [tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \frac{20}{23}\:\\ \:\mathrm{Decimal:}&\:x\ge \:0.86956\dots \\ \:\mathrm{Interval\:Notation:}&\:[\frac{20}{23},\:\infty \:)\end{bmatrix}[/tex]

The measures of the angles of a triangle are shown in the figure below solve for x

Answers

Answer:

X=6°

Step-by-step explanation:

Here, 4x+3+63+90=180 [sum of interior angles of a triangle is 180°]

or, 4x+156=180

or, 4x=180-156

or, 4x=24

or, X=24/4

Hence, x= 6°

Please help me with this

Answers

6x=5x+10
6x-5x=10
x=10
Hope this helps

Name the most pythagorean triplets you can

Answers

1. 3, 4, 5

2. 5, 12, 13

3. 7, 24, 25

4. 8, 15, 17

5. 9, 40, 41

6. 11, 60, 61

And so on...

is the equation y + 1 equals 8 (x + 6) in point-slope form?​

Answers

Answer:

Yes

Step-by-step explanation:

The equation is y-y1=m(x-x1)

Answer: Yes

Step-by-step explanation:

The formula for point-slope form is y-1₁=m(x-x₁). The given equation is y+1=8(x+6). That means the given point is (-6,-1), and the slope is 8.

Which is the dependent variable?

A= amount Ty owes
B= cost of each payment
C=Months

Answers

Answer:

B

Step-by-step explanation:

Because the cost depend on how much he owes per month

the cost of each payment

Does this graph represent a function? Why or why not?
TO
-10884
10
8
-104
A. Yes, because it has two straight lines.
B. Yes, because it passes the vertical line test.
O C. No, because it is not a curve.
D. No, because it fails the vertical line test.

Answers

Answer:

D. No, because it fails the vertical line test

Step-by-step explanation:

A function can only have 1 output for each input. If you are able to draw a vertical line and it touches the graph twice, then it has failed the vertical line test and is therefore not a function.

Hope this helps~! Brainliest is appreciated if it does!

In the number 7^3, what is the base?

Answers

Answer:

base -7(exponent is 3)

Step-by-step explanation:

PLEASE SOMEONE SAVE THE DAY I NEED HELP!!

Answers

Answer: C 8lbs: 32lbs

*) 3. Write the equation in slope-intercept form of the line that passes through the points (5, 4) and (-1, 6). I​

Answers

Answer:

3y = -x + 17

Step-by-step explanation:

Equation of a line is in the form:

y = mx + c

where m is slope and c is intercept

Mathematically;

slope m = (y2-y1)/(x2-x1)

= (6-4)/(-1-5) = 2/-6 = -1/3

So the equation is now;

y = -x/3 + c

Multiply through by 3

3y = -x + 3c

To get c substitute the value of a point say (5,4)

x = 5 and y = 4

3(4) = -5 + 3c

12 = -5 + 3c

12+ 5 = 3c

3c = 17

c = 17/3

So the equation is

y = -x/3 + 17/3

and that is

3y = -x + 17

Alma borrows money from her mom to buy a $150 bike. She gives her mom $40 at the time of purchase and continues to pay her $10 each month until the bike is paid for in full. Alma wrote this equation to represent the amount y that she will have paid her mom after x months.Equation:y 5 40x 1 10Is her equation correct? How did she get that equation? If it is not correct, write a correct equation.

Answers

Given:

Total amount of bike = $150

Alma gives her mom $40 at the time of purchase and continues to pay her $10 each month until the bike is paid for in full.

Alma's equation: [tex]y=40x+10[/tex]

To find:

Whether her equation is correct or not.

Solution:

Let y be the amount that she will have paid her mom after x months.

She pays $10 each month.

She will $10x in x months.

Initially she gives $40 to her mom at the time of purchase. So, total amount she pays after x months is

Total amount [tex]=40+10x[/tex]

Since, y represents the amount that she will have paid her mom after x months, therefore

[tex]y=40+10x[/tex]

Alma multiply the variable x with 40 instead of 10.

Hence, Alma is incorrect and the correct equation is [tex]y=40+10x[/tex].

Asap! I’ll mark you brainlest
What does how much money does he have before mean?

Add
Subtract
Divide
Multiply

Answers

[tex][Hello,BrainlyUser][/tex]

Answer:

Subtract

Step-by-step explanation:

Given;

Mr. Kawasaki was given $14.25.
Now he has $20.51

How much money did he have before.

Thus, we use subtraction.

$20.51 - $14.25 = 6.26

[CloudBreeze]

Solve the following system of Equations in any method you choose.
3x - y = 7
2x + y = 8

Answers

Answer:

x=3 and y=2

Step-by-step explanation:

Rewrite equations:

3x−y=7;2x+y=8

Step: Solve3x−y=7for y:

3x−y=7

3x−y+−3x=7+−3x(Add -3x to both sides)

−y=−3x+7

−y

−1

=

−3x+7

−1

(Divide both sides by -1)

y=3x−7

Step: Substitute 3x−7 for y in 2x+y=8:

2x+y=8

2x+3x−7=8

5x−7=8 (Simplify both sides of the equation)

5x−7+7=8+7 (Add 7 to both sides)

5x=15

5x5

=

15/5

(Divide both sides by 5)

x=3

Step: Substitute 3 for x in y=3x−7:

y=3x−7

y=(3)(3)−7

y=2(Simplify both sides of the equation)

The bases of the prism below are right triangles. The volume of the prism is 360
units. Find the height of the prism.

Answers

Answer:

15

Step-by-step explanation:

The surface of one of the triangles making the base of the prism is [tex]\frac 12 \cdot 6 \cdot 8 = 24[/tex].

At this point we can express the volume in terms of base surface and height as in [tex]360 = 24\cdot h[/tex] from which we can get the height by dividing by 24 both sides:

[tex]h= \frac{360}{24} = 15[/tex]

Can someone PLEASE help me

Answers

F(x)= - 4(x-3)^2 - 40

Which is a counterexample for the conditional?
If a polygon has four right angles, then it is either a square or a rectangle.

Answers

Answer:

No because squares and rectangles are a type of polygon.

Step-by-step explanation:

A polygon is any shape with straight sides.

Polygon of having four right angles, then it is either a square or a rectangle.

What is polygon?

A polygon is a closed object made of line segments rather than curves on a two-dimensional plane. Combining the terms poly, which means multiple, and gon, which means sides, creates the word polygon.

Given that,

A polygon has four right angles.

Since, A polygon of four right angles, then there will be four sides of polygon.

Four sides which are right angle can frame either a square or a rectangle.

A polygon is either a square or a rectangle.

This condition is true, because if all sides of polygon are equal then it will be a square and if all sides are not equal, then it will be a rectangle.

So, polygon with four right angles is either square or rectangle.

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vivi is a drummer for a band. she burns 756 calories while drumming for 3 hours. she burns the same number of calories each hour how many calories does vivi burn per hour ​

Answers

Answer:

252 cph

Step-by-step explanation:

756 divide by 3 is 252

Answer:252

Step-by-step explanation:

Find the equation in slope-intercept form of a line through (2, 4) with slope 0. Oy=2 Ox=2 Oy=4 0 x = 4​

Answers

X=5 because that’s the slope of the question

Can someone please help me figure out what’s 18 3/4 as a decimal

Answers

Solution:

We know that:

Given fraction: [tex]18\frac{3}{4}[/tex]

Since the denominator is divisible by 100, we can solve this using an alternate way.

Step-1: Let's convert the mixed fraction into improper fraction.

Converting the mixed fraction to improper fraction:

[tex]18\frac{3}{4} \\\\= \frac{(18 \times4) + 3}{4} \\\\= \frac{72 + 3}{4} \\\\= \frac{75}{4}[/tex]

Step-2: Somehow, let's change the denominator to a 100.

Changing the denominator to a 100 using a proportion:

[tex]\frac{75x}{4x} = \frac{75x}{100} \\\\ 4x = 100 \\\\ x = 25 \\\\ \bold{Check:} \\\\\frac{75 \times25}{4 \times 25} = \frac{75 \times 25}{100} \\\\ \frac{1875}{100} = \frac{1875}{100} \bold{(True)}[/tex]

Step-3: Adjust the decimal to the right place.

Adjusting the decimal to the right place:

[tex]\frac{1875}{100} = 1875 \div 100 = 18.75[/tex]

Since 100 has 2 zeros, the decimal shifted 2 places to the left.                                    

Thus, [tex]18\frac{3}{4}[/tex] in decimal form is [tex]18.75[/tex].

In decimal, mixed number [tex]18\dfrac{ 3}{4}[/tex]  Can be written as 18.75.

To convert the mixed number  [tex]18\dfrac{ 3}{4}[/tex]  to a decimal, we can first convert the fraction part [tex]\dfrac {3}{4}[/tex]  To its decimal equivalent, and then add it to the whole number part 18.

To convert 3/4 to a decimal:

Divide the numerator (3) by the denominator (4):

3 ÷ 4 = 0.75.

The fraction 3/4 is equivalent to 0.75 as a decimal.

Next, add the decimal equivalent of the fraction (0.75) to the whole number (18):

18 + 0.75 = 18.75.

Therefore,  [tex]18\dfrac{ 3}{4}[/tex]  As a decimal, is 18.75.

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I need help in this
Simplify:
3x-6x+9x-10x

Answers

Answer:

-4x

Step-by-step explanation:

Factor out the common term x:

⇒ x(3 - 6 + 9 - 10)

Carry out the operation in the parentheses, going from left to right:

⇒ x(-4)

Therefore, the final answer is:

⇒ -4x

Answer:

-4x

Step-by-step explanation:

Given;

[tex]3x-6x+9x-10x[/tex]

Solve;

[tex]\mathrm{Add\:similar\:elements:}\:3x-6x+9x-10x[/tex]

[tex]3x+9x=12x[/tex]

[tex]-6x-10x=-16x[/tex]

[tex]-16x+12x=-4x[/tex]

~Learn with Lenvy~

A trapezoid has sides of length 8 miles, 3 miles, 8 miles, and 5 miles. What is the perimeter?

Answers

Step-by-step explanation:

perimeter= sum of all sides

= 8+3+8+5

=24

What is a Integers and explain some examples

Answers

An integer is any whole number, no fractions or decimals
Some examples are: 1, 6, -8, -4, 9

( -6p - 8 ) - ( 2p - 6 ) plz :)

Answers

Answer:

-8p-14

Step-by-step explanation:

Over the last 8 nights elyse earned the following tips {105,120,84,95,100,150,132,140}. If she earns $140 a night for the next four nights, which measure of center would increase more, the mean or median?

Answers

Answer:

The mean would increase more

A real estate agent is trying to find the average credit score of some of her clients. She compiled the scores in the table below. What is the mean credit score in this group? (Round to the nearest whole point, if applicable. ) 787 615 550 674 784 773 620 720 704 a. 668 b. 784 c. 692 d. 704 Please select the best answer from the choices provided A B C D.

Answers

Answer:

Step-by-step explanation:

First Add the scores.

Score Total = 787 + 615 + 550 + 674 + 784+ 773 + 620 + 720 + 704

Score Total = 6227

Now divide by the number of members of the sum.

Number of members = 9

The average score = Total Score / number of members

The average score = 6227 / 9 = 691.9

The average score = 692 which is C

Complete the following sentence. A tent is an example of a .

Answers

Answer:

triangular prism

Step-by-step explanation:

A triangular prism has 3 rectangular sides and 2 triangles as the base

hope this works

Answer: of a pyramidal in shape form.

Step-by-step explanation:

A curve has equation y x = + 2 5 y and a line has equation 2 5 x y + = 1.
The curve and the line intersect at the points A and B. Find the coordinates of the mid-point
of the line AB.

Answers

Answer:

Watch DIm

Step-by-step explanation:

Watch dim channel

Search up dim channel

He has 24 subs

Or nearly 24 subs

and please sub him

NEED THE ANSWER ASAP

Answers

Answer:

it is ASA............ .

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