How do you write 7.01 in scientific notation?

We have been given that in ΔRST, s = 93 inches, ∠S=123° and ∠T=28°. We are asked to find the length of r to the nearest 10th of an inch.

We will use law of sines to solve for side r.

[tex]\frac{a}{\text{Sin}(a)}=\frac{b}{\text{Sin}(B)}=\frac{c}{\text{Sin}(C)}[/tex], where a, b and c are corresponding sides to angles A, B and C respectively.

Let us find measure of angle S using angle sum property of triangles.

[tex]\angle R+\angle S+\angle T=180^{\circ}[/tex]

[tex]\angle R+123^{\circ}+28^{\circ}=180^{\circ}[/tex]

[tex]\angle R+151^{\circ}=180^{\circ}[/tex]

[tex]\angle R+151^{\circ}-151^{\circ}=180^{\circ}-151^{\circ}[/tex]

[tex]\angle R=29^{\circ}[/tex]

[tex]\frac{r}{\text{sin}(R)}=\frac{s}{\text{sin}(S)}[/tex]

[tex]\frac{r}{\text{sin}(29^{\circ})}=\frac{93}{\text{sin}(123^{\circ})}[/tex]

[tex]\frac{r}{\text{sin}(29^{\circ})}\cdot \text{sin}(29^{\circ})=\frac{93}{\text{sin}(123^{\circ})}\cdot \text{sin}(29^{\circ})[/tex]

[tex]r=\frac{93}{0.838670567945}\cdot (0.484809620246)[/tex]

[tex]r=110.889786233799179\cdot (0.484809620246)[/tex]

[tex]r=53.7604351[/tex]

Upon rounding to nearest tenth, we will get:

[tex]r\approx 53.8[/tex]

Therefore, the length of r is approximately 53.8 inches.

Answer:

The median is NOT the same thing as a quartile.

The median is a measure of center.

Answer:

8

Step-by-step explanation:

Vanillas percentage is 26%

26% of 50 is 13

Chocolates percentage is 42%

42% of 50 is 21

21-13=8

Using proportions, it is found that 8 more of Ursula’s classmates chose chocolate than chose vanilla.

In total, there are 50 students.

[tex]0.42(50) = 21[/tex]

That is, 21 choose chocolate.

The sum is 100%, hence the percentage that choose vanilla is:

[tex]x + 14 + 18 + 42 = 100[/tex]

[tex]x = 100 - 74[/tex]

[tex]x = 26[/tex]

26%, out of 50, hence:

[tex]0.26(50) = 13[/tex]

13 choose vanilla.

21 - 13 = 8.

8 more of Ursula’s classmates chose chocolate than chose vanilla.

To learn more about proportions, you can check https://brainly.com/question/24372153

Answer:

1. $0.99

2. $1.98

Step-by-step explanation:

1. From the question we have

Cost of box = $2.48

Selling price = $1.49

That is the box is discounted from $2.48 to $1.49

Therefore, amount saved = $2.48 - $1.49 = $0.99

2. The amount saved from buying a second box is hence;

2 × $0.99 = $1.98

Hence, as the number of boxes bought increases, the amount saved increases

Answer:

The answers to both questions are

1. You save $0.99 on the box when it is purchased on sale

This is calculated by subtracting on-sale price from pre-sale price:

$2.48-$1.49 = $0.99

2. Total amount saved when a second box is purchased on-sale price is derived by multiplying the amount saved on-sale purchase by two:

$0.99 x 2 (boxes)

$0.99 x 2 = $1.98

Cheers!

Answer:

31

Step-by-step explanation:

63-32=31

Answer:

The width of the patio is 11.29 feet while the length of the patio is 13.29 feet

Step-by-step explanation:

Mathematically, the area of the patio can be calculated by multiplying the length by the breadth of the patio

Thus we have ;

(x + 7)(x + 9) = 150

x^2 + 7x + 9x + 63 = 150

x^2 + 16x + 63 = 150

x^2 + 16x + 63 -150 = 0

x^2 + 16x -87 = 0

we can use the quadratic formula to solve this completely

x = {-b ± √(b^2 - 4ac)}/2a

where a = 1, b = 16 and c = -87

Plugging the values we have

x = {-16 ± √(16^2 - 4(1)(-87)}/2

x = {-16 ± √(256+ 348)}/2

x = {-16 ± √(604}/2

x = (-16 + 24.58)/2 or (-16-24.58)/2

x = 4.29 or -20.29

Choosing x = -20.29 will make our dimensions negative, so we ignore it and make do with the positive value only

Thus our dimensions are 4.29 + 7 and 4.29 + 9

This is equal to 11.29 feet and 13.29 feet respectively

Answer:

35.98

Step-by-step explanation:

To find the perimeter take 1/2 of the circumference plus the length of the diameter

P = 1/2 * pi *d + d

  =1/2 pi 14 +14

  = 7pi +14

Letting pi = 3.14

      7(3.14) + 14

   21.98 +14

        35.98

Answer: The lenght of the missing side is 4 cm

Step-by-step explanation:

The correct question is:

The perimeter of the rectangle is 20cm . One side is 6cm. What is the length of the missing side?

So, to answer it we have to apply the next formula:

Perimeter of a rectangle = 2 width + 2 length

Replacing with the values given: (assuming that the side given is the length of the rectangle)

20 = 2(6) + 2x

Solving for x:

20 =12 +2x

20-12 =2x

8 =2x

8/2 =x

4=x

The length of the missing side is 4 cm

Feel free to ask for more if needed or if you did not understand something.  

Answer:

10 inches (10.19)

Step-by-step explanation:

Answer:

[tex] 1 \frac{1}{6} [/tex]

Step-by-step explanation:

[tex]\huge \frac{7}{6} = 1 \frac{1}{6} [/tex]

Hope it helps you in your learning process.

Answer:

22/28 = 11/14

Step-by-step explanation:

no of socks other than blue = 22

total no of socks = 28

so probability= 22/28 = 11/14

Answer:

22

Step-by-step explanation:

8 black 6 blue and 14 white is equal to 28

and if 6 are blue the rest are not so 6-28=22

Answer:

138.248cm²

Step-by-step explanation:

Surface area=2πrh + 2πr²

Surface area=2x3.142x2x9+ 2x3.142x2²

Surface area=113.112+25.136

Surface area=138.248cm²

Answer:

Answer:

138.248cm²

Step-by-step explanation:

Surface area=2πrh + 2πr²

Surface area=2x3.142x2x9+ 2x3.142x2²

Surface area=113.112+25.136

Surface area=138.248cm²

"credit goes to unknown76th"

Step-by-step explanation:

Answer:

b = 2a + c

Step-by-step explanation:

Given

a = [tex]\frac{1}{2}[/tex] (b - c)

Multiply both sides by 2 to clear the fraction

2a = b - c ( add c to both sides )

2a + c = b

Answer:

4 7/8

Step-by-step explanation:

Total pound=8

Total used=3 1/8

Leftover=?

8-3 1/8

=8-25/8

L.C.M of 8 and 25/8 is 8

=.64-25 /8

=39/8

=4 7/8

Answer:

16.06 ft

Step-by-step explanation:

The figure is attached below.

In triangle ACB:

[tex]tan(41)=\frac{x}{y} \\x=ytan(41)[/tex]

In triangle ADB:

[tex]tan(25)=\frac{x}{y+10} \\(y+10)tan(41)=x[/tex]

Therefore equating both equations gives:

[tex]ytan(41) = (y+10)tan(25)\\ytan(41) = ytan(25)+10tan(25)\\ytan(41)-ytan(25)=10tan(25)\\y(tan(41)-tan(25))=10tan(25)\\y=\frac{10tan(25)}{(tan(41)-tan(25)} =11.5715ft[/tex]

Therefore x = 11.5715*tan(41) = 10.06 ft

The distance of the jot air balloon to ground = 10.06 + 6 = 16.06 ft

Answer:

a

Step-by-step explanation:

A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal.

Answer:

A

Step-by-step explanation:

Answer:

[tex] D= 375 - (-150) m = 375m +150 m= 525 m[/tex]

So then the distance between the submarine and the airplace is 525 m

Step-by-step explanation:

For this case we know that the submarine is 150 m below the sea level and the airplane is 375 m above the sea level and we want to find the difference between the heights and we got:

[tex] D= 375 - (-150) m = 375m +150 m= 525 m[/tex]

So then the distance between the submarine and the airplace is 525 m

Answer:

(5yz)^2(x^2z^3)

(25y^2z^2)(x^2z^3)

25x^2y^2z^5

Step-by-step explanation:

Answer:

i tried so i hope this helps you

Answer:

She uses [tex]\frac{1}{12}[/tex] of the sheet of paper to make the flower.

Step-by-step explanation:

She cuts 1/2 of a piece of paper.

Of what was cut, she used 1/6 to make a piece.

What fraction of the sheet of paper does she use to make the flower?

A sixth of one half. So

[tex]\frac{1}{6}*\frac{1}{2} = \frac{1}{12}[/tex]

She uses [tex]\frac{1}{12}[/tex] of the sheet of paper to make the flower.

Answer:

D

Step-by-step explanation:

Firstly, to answer this question, we need to calculate the change in elevation.

Let’s just think of the question as, the distance from the foot of the mountain to the top is 4,418 meters. Now we have climbers starting at a height of 2,550 meters. We now need to know the difference or the distance to which they have climbed.

To calculate this is quite straightforward, all we need do is to subtract the starting point from the end position.

Mathematically that would be 4,418 - 2,550 = 1,868 meters

Now our answer need be in foot. we have a conversion system given in the question already.

1 foot = 0.3048 meters

x foot = 1,868 meters

x = 1,868/0.3048

x = 6,128.6 feet which is approximately 6,129 feet

Answer:

Complementary

Step-by-step explanation:

When 2 things are complementary, they take up all given space.

When it's unlikely, it isn't all probability

Independent means they don't affect each other.

Disjoint means mutually exclusive.

Answer:

[tex] 770 = 5\pi r^2[/tex]

If we divide both sides by [tex] 5\pi[/tex] we got:

[tex] \frac{770}{5\pi} = r^2 [/tex]

And taking square root we got:

[tex] r = \sqrt{\frac{770}{5\pi}}= 7.001 ft[/tex]

And rounded to the nearest whole number we got 7 ft

Step-by-step explanation:

For this case we know that the hieght of a right cylinder is 5 ft and the volume is given by:

[tex] V = 5 \pi r^2 [/tex]

And we know that the volume [tex] V = 770 ft^3[/tex] and we want to solve for r so we can set up the following equation:

[tex] 770 = 5\pi r^2[/tex]

If we divide both sides by [tex] 5\pi[/tex] we got:

[tex] \frac{770}{5\pi} = r^2 [/tex]

And taking square root we got:

[tex] r = \sqrt{\frac{770}{5\pi}}= 7.001 ft[/tex]

And rounded to the nearest whole number we got 7 ft

Answer:

1/8

Step-by-step explanation:

Answer:

1/7

Step-by-step explanation:

divide 6/42

Answer:

B. b = (24 x 16) - 8

Step-by-step explanation:

I chose this answer because there are 24 boxes with 16 baseballs in each of them. Pedro only used 8 of these baseballs, which means he didn't use (24 x 16) - 8 balls.

If this answer is correct, please make me Brainliest!

Answer:

0.6

Step-by-step explanation:

Given that the spinner has 5 equal sections numbered 1 to 5.

Multiples of 2 in 1 to 5 are: {2,4}

Number less than  than 3 are:{1,2}

Since we are required to find the probability of the spinner stopping on a number that is a multiple of 2 or is less than 3, we take the union of both sets.

{2,4} [tex]\cup[/tex] {1,2} ={1,2,4}

Number of Outcomes=3

Therefore,

Probability of the spinner stopping on a number that is a multiple of 2 or is less than 3  [tex]=\dfrac{3}{5}=0.6[/tex]

Answer: Um sure you can