Find the value of each variable.

Answer:

[tex]\displaystyle \sin(D)=\frac{28}{53}\approx0.5283[/tex]

[tex]\displaystyle \sin(E)=\frac{45}{53}\approx0.8491[/tex]

Step-by-step explanation:

Remember that sine is the ratio of the opposite side to its hypotenuse:

[tex]\displaystyle \sin(x^\circ)=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]

For D, the opposite side to D is 28, and the hypotenuse is 53. Therefore:

[tex]\displaystyle \sin(D)=\frac{28}{53}[/tex]

Or, in decimal form:

[tex]\sin(D)\approx 0.5283[/tex]

Likewise, the side opposite to E is 45, and the hypotenuse is 53. Therefore:

[tex]\displaystyle \sin(E)=\frac{45}{53}[/tex]

And using a calculator:

[tex]\sin(E)\approx0.8491[/tex]

Answer:

Step-by-step explanation:

So, if we are looking to save money, then it would probably be a good choice to go for the least steepest line. Assuming Money stands for the Y axis and Quantity stands for the X axis, then looking at the least steepest line means the lowest Y axis, which translates to the least amount of money.

Answer:

37

Step-by-step explanation:

Answer: x

=

6

Explanation:

the initial statement is

x

∝

1

y

to convert to an equation multiply by k the constant

of variation

⇒

x

=

k

×

1

y

=

k

y

to find k use the given condition

x

=

4

when

y

=

9

x

=

k

y

⇒

k

=

x

y

=

4

×

9

=

36

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

x

=

36

y

2

2

∣

∣

∣

−−−−−−−−−−−−

when

y

=

6

then

x

=

36

6

=

6

Step-by-step explanation:

Answer:

z=[tex]\frac{9}{2}[/tex]

Other posible answers:

z=4.5

or

z=[tex]4\frac{1}{2}[/tex]

1. no

2. No ecause 15 +x or 5  is 20 + the x 20x and its for x even if the 5 was a negetive

Answer:

C

Step-by-step explanation:

When the domain is y, the line is always horizontal

X could be anything and the line would still be horizontal because y is 1.5

Answer:

the answer is a

Step-by-step explanation:

Answer:

275

Step-by-step explanation:

Answer:Time = 1/9 Hours  0r  0.11111 hours

Step-by-step explanation:

We Know that Speed = Distance / Tim\e

Using the constant rate of the speed given as 27 miles per hour at

Distance = 3miles

Time = Distance  / Speed

Time = 3 miles / 27miles per hour = 1/9 hours

Answer:

49,000 square cm

Step-by-step explanation:

To get the area of the dilated rectangle, we need the dilated dimensions

We simply multiply the scale factor by the dimensions

we have this as;

3.5 * 50 = 175 cm

and

3.5 * 80 = 280 cm

The area of the dilated rectangle is thus;

280 * 175 = 49,000 cm^2

Answer:

8x+14

Step-by-step explanation:

Answer:

-2b,  b/12,  -0.9b

Step-by-step explanation:

I understand this is late, but hopefully, it'll help someone who needs it, have a good day

Answer:

A Is your answer.

Step-by-step explanation:

24-79/12-2

Answer:

90.4 degrees.

Step-by-step explanation:

(9 x 10) + (4 x 0.1)

= 90 + 0.4

= 90.4.

The Temperature in Fahrenheit  is 90.4 F.

The division of numbers into groups according to place value, such as ones, tens, hundreds, thousands, ten thousand, and so forth, results in the expanded form of the number. The expanded version of the number is the one that is represented by the sum of each digit times its place value.

Given:

Expanded notation. ( 9 × 10 ) + ( 4 × 0.1 )

Now, simplifying the expression

= (9 x 10) + (4 x 0.1)

= 90 + 0.4

= 90.4.

Hence, the Temperature in Fahrenheit  is 90.4 F.

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Answer:

36 and 27

Step-by-step explanation:

4+3=7

63/7=9

9x4=36

9x3=27

Answer:

Step-by-step explanation:    63'ü 3'e bölücez  sonuç 21 çıkar  21 ile 4'ü çarpicaz  sonuç 84  çıkar ne kadar döğru bilmiyorum ama bence böyle

Answer:

A. 4x+13

Step-by-step explanation:

distribute the 4

(4x+20) -7

4x+13

Answer:

A

Step-by-step explanation:

Answer:

270 miles

Step-by-step explanation:

Divide 180/4 = 45

45 * 2 = 90

180 + 90 = 270

A vehicle can travel 180 miles in 4 hours, then in 6 hours, the vehicle will travel 270 miles.

The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the data given in the question,

Distance travelled by the vehicle = 180 miles

Time is taken to travel 180 miles = 4 hours

Distance travelled in 1 hour = 180/4 = 45 miles

Then,

Distance travelled in 6 hours = 6 × 45 = 270 miles.

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Answer:

900 g

Step-by-step explanation:

Here, we want to get the weight of the 5th parcel

Mathematically, the total

is the mean multiplied by the count

the four parcel weighted 400 g averagely

The mean of this is 400(4) = 1,600 g

Adding the 5th parcel, we have an average of 500 g

This means that the total will be;

500(5) = 2,500 g

the difference in weight is the weight of the 5th parcel

That’s 2500-1600 = 900 g

Answer:

theta = 22.6 degrees

Step-by-step explanation:

Here, we want to find the value of theta

To do this , we use the appropriate trigonometric identity

Let us identify the given sides of the triangle

we have the hypotenuse, which is the longest side of the triangle, given as 13 and the third side called the adjacent, given as 12

The trigonometric identity that relates the hypotenuse to the adjacent is the cosine

Mathematically;

cosine of an angle is the ratio of the adjacent to the hypotenuse

Thus, we have it that;

cos theta = 12/13

theta = arc(cos) 12/13

theta= 22.6

Answer:

x+6 y+3

Step-by-step explanation:

The translation shows a horizontal shift to the left by 6 units and vertical shift up by 3 units

Reflection of any coordinates are mirror images of each other.

The reflection rule of the coordinate over the x-axis is given as:

(x, y) -> (x , -y)

Using the coordinate (-1, 2) on the image on the left and (5, 1) for the coordinate on the right.

Reflecting (-1, 2) over the x-axis is (-1,-2). In order to determine the translation used from (-1, -2) to (5, 1)

(-1+x, -2+y) = (5, 1)

-1 + x = 5

x = 6

-2 + y = 1
y =3

The translation shows a horizontal shift to the left by 6 units and vertical shift up by 3 units

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Answer:

we can't see a photo what you see

Step-by-step explanation:

Answer:

She rented the bike for 8 hours.

Step-by-step explanation:

51-11=40

40/5=8

Answer:

65.9734457254 or 65.97

Step-by-step explanation:

c= pi x diameter

c= pi x (10.5 x 2)

c= pi x 21

= 65.9734457254

Answer:

66 in approx

Step-by-step explanation:

Given data

Radius= 10.5 inches

The circumference is given as

C= 2πr

Substitute

C=2*3.142*10.5

C=65.982

Hence the Circumference is 66 in approx

Answer:

bilmiyorum, bulamadım.

Answer:

$112,500

Step-by-step explanation:

Answer:

x = 381/24 = 3 29/84

Step-by-step explanation:

7x + 1/2(x + 1/4) = 3(6x - 9) - 8

Use the distributive property to multiply 1/2 by x + 1/4.

7x + 1/2x + 1/8 = 3(6x - 9) - 8

Combine 7x (14/2x) and 1/2x to get 15/2.

15/2x + 1/8 = 3(6x - 9) - 8

Use the distributive property to multiply 3 by 6x - 9.

15/2x + 1/8 = 18x - 27 - 8

Subtract 8 from -27 to get -35.

15/2x + 1/8 = 18x - 35

Subtract 18x from both sides.

-21/2x + 1/8 = -35

Subtract 1/8 from both sides.

-21/2x = -35 - 1/8

-35 is the same as -280/8.

-21/2x = (-280 - 1)/8

Subtract 1 from -280 to get -281.

-21/2x = -281/8

Multiply both sides by -2/21 (reciprocal of -21/2).

x = (-281 * -2)/(8 * 21)

You can cross cancel -2 and 8 by extracting 2 (they become -1 and 4 respectively).

x = (-281 * -1)/(4 * 21)

Multiply -281 by -1 to get 281.

x = 281/(4 * 21)

Multiply 4 by 21 to get 84.

x = 281/84

Can this fraction be simplified into a mixed number? Yes it can. It becomes 3 29/84. (252 (3 * 84) + 29 = 281)

x = 3 29/84

Work check: x is substituted for 281/84 (convenience)

7 * 281/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8

1967/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8

1967/84 + 1/2(302/84) = 3((6 * 281)/84 - 9) - 8

(1967 + 151)/84 = 3((6 * 281)/84 - 9) - 8

2118/84 = 3(1686/84 - 9) - 8

2118/84 = 3((1686 - 756)/84) - 8

2118/84 = 3(930/84) - 8

2118/84 = 2790/84 - 672/84

2118/84 = (2790 - 672)/84

2118/84 = 2118/84

So x = 3 29/84 is correct.

Answer:4.08 ft a year or 1 and 5/8 feet a year (approx)

Step-by-step explanation:

It's  12.5 feet the first year

51 feet 5 years later

If you do the math and divide 51 by 12.5, you get 4.08 which is around 1 and 5/8 ft

12.5x4.08 is  51 feet.

So the tree grows approximately 1 and 5/8 feet a year