In ΔSTU, the measure of ∠U=90°, TS = 41, UT = 9, and SU = 40. What is the value of the sine of ∠S to the nearest hundredth?

Complete Question:

The deck that Amos is building is in the shape of a parallelogram, DGRY.  The measure of D is five-halves the measure of Y. Find the measure of  each angle of the deck.

Answer:

[tex]\angle G = \angle Y = 51.43 ^{\circ}[/tex]

[tex]\angle D = \angle R = 128.57 ^{\circ}[/tex]

Step-by-step explanation:

Given

Shape: Parallelogram DGRY

Dimension: [tex]\angle D = \frac{5}{2}\angle Y[/tex]

Required

Find the measure of each angle

D and R are opposite sides & G and Y are also opposite sides.

So, we have:

[tex]\angle D = \angle R = \frac{5}{2}\angle Y[/tex]

and

[tex]\angle G = \angle Y[/tex]

The sum of angles is given as:

[tex]\angle D + \angle G + \angle R + \angle Y=360^{\circ}[/tex]

Substitute values for [tex]\angle D, \angle G \ \& \angle R[/tex]

[tex]\frac{5}{2}\angle Y + \frac{5}{2}\angle Y + \angle Y + \angle Y = 360^{\circ}[/tex]

Take LCM

[tex]\frac{5\angle Y + 5\angle Y + 2\angle Y+ 2\angle Y}{2}= 360^{\circ}[/tex]

[tex]\frac{14\angle Y}{2}= 360^{\circ}[/tex]

Multiply both sides by [tex]\frac{2}{14}[/tex]

[tex]\frac{2}{14} * \frac{14\angle Y}{2}= 360^{\circ} * \frac{2}{14}[/tex]

[tex]\angle Y= 360^{\circ} * \frac{2}{14}[/tex]

[tex]\angle Y= \frac{ 360^{\circ} *2}{14}[/tex]

[tex]\angle Y= \frac{720^{\circ}}{14}[/tex]

[tex]\angle Y= 51.43 ^{\circ}[/tex]

So:

[tex]\angle G = \angle Y = 51.43 ^{\circ}[/tex]

[tex]\angle D = \frac{5}{2}\angle Y[/tex]

[tex]\angle D = \frac{5}{2} * 51.43^{\circ}[/tex]

[tex]\angle D = \frac{5* 51.43^{\circ}}{2}[/tex]

[tex]\angle D = \frac{257.15^{\circ}}{2}[/tex]

[tex]\angle D = 128.57 ^{\circ}[/tex]

Hence:

[tex]\angle D = \angle R = 128.57 ^{\circ}[/tex]

Answer:

C. 252 CUBIC FEET IS THE VOLUME OF THE TRAILER

Answer:

answer is 5 hope it helps

Answer:

5

is the square root of [tex]\sqrt{25}[/tex]

Step-by-step explanation:

[tex]\sqrt{25} = 5\\[/tex]

Answer:

3.707, 3.71, 3.8, 3.809, 3.83, 3.83, 3.89

Step-by-step explanation:

3.707, 3.71, 3.8, 3.809, 3.83, 3.83, 3.89

Answer:

157.47km²

Step-by-step explanation:

Given the following

base of 18.1 kilometres

height of 17.4 kilometres

Area of the triangle = 1/2 * base * height

Area of the triangle = 1/2 * 18.1 * 17.4

Area of the triangle = 314.94/2

Area of the triangle = 157.47km²

Hence the area of the triangle is 157.47km²

The coordinate point of intersection on the graph will be at (1.5, 4.5)

Given the equations Dimitri wrote expressd as:

y = 3x

y = x + 3

Since they are both y-values, we can equate the right hand side to have:

3x = x + 3

3x - x = 3

2x = 3

x = 3/2

x = 1.5

Get the value of y:

y = 3x

y = 3(1.5

y = 4.5

Hence the coordinate point of intersection on the graph will be at (1.5, 4.5)

Learn more on equations here: https://brainly.com/question/2972832

Answer:

D.

Step-by-step explanation:

Line D. shows the numbers less than 4. Trust me on this.

♡ ∩_∩

（„• ֊ •„)♡

┏━∪∪━━━━┓

♡ good luck 。 ♡

┗━━━━━━━┛

Answer:

Ok, I'm pretty sure its -4

Answer: y=1/2x-6

Step-by-step explanation:

Answer:

y=1/2x + -6

Step-by-step explanation:

its just the y = mx + b forulma but you just plug in the numbers

Hope this helps :)

Answer:

it on web I had this question once

Step-by-step explanation:

put it in web and you be find

The amount that Sam get (the share of Sam) is £120

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b or [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Same thing happens for 3 quantities and more such quantities.

So if its given that Oli, Sam, and Tim's share (total  £360) are in the ratio 3:2:1, that means some common factor (lets call it 'x') must be cancelled off as 3+2+1 don't equate to 360.

So, we have:

Their total evaluates to 360 (in euros).

(we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Thus, we get:

[tex]3x + 2x + x = 360\\(3+2+1)x = 360\\6x = 360\\\\\text{Dividing both the sides by 6}\\\\\dfrac{6x}{6} = \dfrac{360}{6}\\\\x = 60[/tex]

Thus, we get:

Thus, the amount that Sam get (the share of Sam) is £120

Learn more about ratio here:

brainly.com/question/186659

Answer:

184.26

Step-by-step explanation:

28.275 + 60 + 96 = 184.26

Step-by-step explanation:

given

g(x) = 5x + 7

g(1) = 5 * 1 + 7

= 5 + 7

= 12

Hope it will help :)

Answer:

12

Step-by-step explanation:

5 x 1=5

5+7=12

Answer: See explanation

Step-by-step explanation:

You didn't say what you want to get but I'm guessing that you want to know who had the cheapest deal or the best deal.

Robby went on Monday and bought three movies for $15.36. The cost per movie will be:

= $15.36/3

= $5.12

Paula went on Wednesday and bought five movies for $27.40. The cost per movie will be:

= $27.40/5

= $5.48

Trey went on Thursday and bought four movies for $20.08. The cost per movie will be:

= $20.08/4

= $5.02

Madison went on Friday and bought six movies for $31.44. The cost per movie will be:

= $31.44/6

= $5.24

We can see that Trey had the best deal.

Answer:

x = 0 and y = -2

Step-by-step explanation:

x - 2y = 4 and X - 1y = 2

you mentioned elemination aka substraction

so you when substract x - x =  0  -2y -( -y) = -y and 4 -2 = 2

so - y = 2

or y = 2

now substitute the numbers

x + 4 = 4

x = 0

and try it with one of the equation  or sometimes trying on both of them can be very helpful

Answer:

D 36MPH

Step-by-step explanation:

Answer: A

Step-by-step explanation:

For every 3 cups she need 7 cups of white paint.

answer a displays that with 3*2=6 and 7*2=14

Answer:

A

Step-by-step explanation:

I did the math

answer is 3

hope this helps

Answer:

All angles in a triangle sum up to 180 degrees. The value of x is 45 degrees.

Step-by-step explanation:

Answer:

5x+8y=480

5(16)+8y=480

80+8y=480

8y=40

y=50

Step-by-step explanation:

x= kids ticket sold

y= adult tickets sold

5x+8y = sales

Plug in 16 for x and 480 for sales

5(16)+8y= 480

Solve for y

80+8y=480

400=8y

y=50

Answer:

:.x=7 ans

Step-by-step explanation:

5x=x+28

5x-x=28

4x=28

x=28/4=7

Answer:

1. X=1/2y+5/2 or y=2x-5, 2 picture

2. X=-3/2y+6 or y=-2/3x+4, 2 picture

3. X=-1/2y+-11/2 or y=-2x-11, 1 picture

4. X=-0.5y+1.5 or y=-2x+3

5. Y=4/3x-9

6. Y=1/4x-2

Step-by-step explanation: I can give you 5 picture, I can’t give you the another step-by-step, hope this help

Answer:

A. 10

Step-by-step explanation:

y = 10

Im the best mathmatician at my whole college so you can trust me

Answer:

D

Step-by-step explanation:

Slope formula: m = (y2 - y1) / (x2 - x1)

First coordinate: (1, 3)

Second coordinate: (3, 9)

m = (9 - 3) / (3 - 1)

m = (6) / (2)

m = 3

Answer:

73/100 is the fraction

0.73 is the decimal

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

3/4 = 15/20

15/20 - 11/20 = 4/20

Can be simplified to 1/5

Answer: 3/4 - 11/20 = 1/5 or in decimal form 0.2

Answer:

88°

Step-by-step explanation:

5a + 18 + 24 - a + 8a - 30 = 180 (angles on a straight line)

=> 12a + 12 = 180

=> 12a = 168

=> a = 168 / 12

=> a = 14

5a + 18 = 5 (14) + 18 = 70 + 18 = 88

24 - a = 24 - 14 = 10

8a - 30 = 8 (14) - 30 = 112 - 30 = 82

Therefore, largest angle is 88°.

Hope it helps :)

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