The sail of a boat is in the shape of a right triangle. Which expression shows the length, in meters, of the sail?

The sail of a boat is a right triangle with an acute angle at the tip equal to 50 degrees and the side of the sail which is the hypotenuse to the right triangle is 7 meters long.

7(tan 50°)
7(sin 50°)
tangent 50 degrees over 7
sine 50 degrees over 7

Answer:

Step-by-step explanation:

s³ = 64

Take the cube root of both sides

s = 4

Answer:

[tex]b_i = -0.020125[/tex]

Step-by-step explanation:

Given

[tex]\sum x_i= 2000[/tex]

[tex]\sum y_i= 86.6[/tex]

[tex]\sum x_i^2= 216000[/tex]

[tex]\sum x_iy_i = 8338[/tex]

[tex]n = 20[/tex]

Required

Determine the slope (b) of the regression line

This is calculated as:

[tex]b_i = \frac{\sum xy - \frac{\sum x\sum y}{n}}{\sum x^2 - \frac{(\sum x)^2}{n}}[/tex]

Substitute values for each term, we have:

[tex]b_i = \frac{8338 - \frac{2000 * 86.6}{20}}{216000 - \frac{(2000)^2}{20}}[/tex]

Simplify the numerator

[tex]b_i = \frac{8338 - 8660}{216000 - \frac{(2000)^2}{20}}[/tex]

Simplify the denominator

[tex]b_i = \frac{8338 - 8660}{216000 - 200000}[/tex]

[tex]b_i = \frac{-322}{16000}[/tex]

[tex]b_i = -0.020125[/tex]

Answer:

Step-by-step explanation:

Hope it helps u!!

Answer:

False because 1/2 would be half the number 2/2 or 1 would be the whole number so 3/2 would be a whole and half or 1 1/2

Answer:

false

if the number is X

3/2 of X= X 1/2

[tex]x \frac{1}{2} > x[/tex]

Answer:

X x X=x²

X x -7=-7x

4 x X=4x

4 x -7=-28

-7x + 4x=-3x

x² + -3x -28

hope that helped :)

Step-by-step explanation:

Answer:

I don’t know

Step-by-step explanation:

You didn’t attach a photo lol

Trapezoid Area =

[ ( Sum of the rules ) × ( height ) ] ÷ 2

_________________________________

Area = [ ( 2 + 3 ) × 3 ] ÷ 2

Area = [ 5 × 3 ] ÷ 2

Area = 15 ÷ 2

Area = 7.5 m^2

Answer

2766.5

Step-by-step explanation:

Well to solve for average all you have to do is add the values together then divide by the number of values you started with. So we add them together(2768+3001+2663+2471+2893+2803) and get 16599. Then, since there were 6 values we divide that by 6 and you get your answer.

Answer:

angel DAC=angle BAC because opposite angle of parallelogram is equal

Answer:

the median is 139

Step-by-step explanation:

there are 19 numbers in the data set. Therefore, the 10th number would be the median.

Answer:

See explanation. I attached a photo to help visualize and make it easier to understand, but tell me if handwriting was fine :)

Also, C) 436 in² is correct :)

Step-by-step explanation:

the answer is C

Step-by-step explanation:

if we take the 15 from 28

13 will be left

so 13×22=286

and 15×5=75

15×5=75

150+286=436

hopefully its helpful

Answer:

volume = 91 cm²

perimeter = 41.1 in

Step-by-step explanation:

volume = 1/2(b1+b2)(h) = 1/2(11 + 15)(7) = 91 cm²

Answer:

Step-by-step explanation:

Add all 4 sides to get perimeter so the first one is 9+9+2+2=22cm

the area is length x width so the first one is 9 x 2 =18cm ^2

Answer:

16.73 I THINK

Step-by-step explanation:

my guess is n1 is relating to the 4.9, and if it then you would do the Pythagorean theorem. because the degrees are there to let you know it's a right angle and you are able to use the theorem..... so -

4.9^2 + 4.9^2 =C^2

48.02 =C

√48 = 6.93 (rounded to nearest hundredth)

then you add them all together

4.9+4.9+6.93=16.73

Step-by-step explanation:

each week kyle saves $5.00

Answer:

Score with 6 questions wrong :

= 40 - (6×2)

= 40 - 12

= 28

Score with x questions wrong :

= 40 - (x×2)

= 40 - 2x

Answer:

3n + 7 < 16

Step-by-step explanation:

7 more than 3 times a number, n, is less than 16 is represented by

3n + 7 < 16 where:

3n = three times a number, n,

+ 7 = 7 more than

and

< 16 = is less than 16.

Answer:

Step-by-step explanation:

Answer: Direction opens downward

Step-by-step explanation:

X-Intercept: (1/14,0),(-1/4,0)

Y-Intercept: (0,1)

Find the vertex using x= -b/2a

Plug it into the vertex form = y=a(x-h)^2 +k

H,K will identify the direction.

Answer:

Step-by-step explanation:

1) (x) is economy class and (y) is first class

2) The objective function is to avoid making a loss in prophet making the train have the avalibility  for 10 economy class passengers and at least 20 first class passengers.

3) The constraints are that there are only 10 spots for economy class and at least 20 for first-class passengers.

Answer:

08-Oct-2009 — If a spherical balloon has a volume of 972 pi cubic centimeters, what is ... is 4.pi.r^2 (its area remember not volume) as 4/3.pi.r^3=972pi r=9 ... and it is good to know the squares of the next 10 numbers.

Answer:

I have this same question on my math test.

Since the radius is 9, the diameter is 18.

The shape is being dilated by 2/3, so the new radius is 6.

Volume formula: V = 4/3πr^3

So now we plug in the values.

V = 4/3 x π x (6)^3

V = 4/3 x π x 216

V = 288π

If the answers do not have the pi symbol present, then it has been multiplied into the answer.

288 x 3.14 = 904.32

The new volume of the sphere is 904.32 in^3

9514 1404 393

Answer:

  (a)  6

Step-by-step explanation:

The median is the middle number when they are sorted into order. If one of the numbers is 10, the remaining number must be any number less than 7. Of the offered choices, the only one less than 7 is 6.

__

The three numbers are 6, 7, 10.

Answer:

(6, 7)

Step-by-step explanation:

A rectangle means that opposite sides are parallel to each other and that opposite sides are equal in measurements.

If we look at the opposite side starting at (2, 1), we can count how long the other side should be. Counting the next point of the rectangle is (6, 1) which is a difference of 4. This means if we count from (2, 7) 4 spaces to the right, we will find our missing vertex.

(2 + 4, 7) = (6, 7)

Answer:

7

Step-by-step explanation:

10.5*2/3= 3.5*2=7

Answer:

Step-by-step explanation:

Answer:

4,261

Step-by-step explanation:

after 23 hours, the number of bacteria =

4,000.

so, after 26 hours = 4,000+ (3/23 ×4000)

= 4,000 + 261 = 4,261

Answer:

Train A weighs 156 tons, and Train B weighs 78 tons.

Step-by-step explanation:

Given that two trains, Train A and Train B, weigh a total of 243 tons, and Train A is heavier than Train B, with a difference of their weights of 87 tons, to determine what is the weight of each train, the following calculation has to be done:

(243 - 87) / 2 = B

156/2 = B

78 = B

243 - 87 = A

156 = A

Therefore, Train A weighs 156 tons, and Train B weighs 78 tons.

Answer:

I think B

Step-by-step explanation:

Not sure but seems like so. Hope I helped U :)

Answer:

I think it’s A.

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation: since the radius is 5 and we have (2,3) then we are going into 2 and 3 the x and y represent 5 so the answer wouldn't be 5 then you would have done no work. so it is A. i suck at explaining things hope this helps!

Step-by-step explanation:

[tex]general \: equation \\ {x}^{2} + {y}^{2} + 2gx + 2fy + c = 0 \\ centre : ( - g, - f) = (2,3) \\ g = - 2 \: and \: f = - 3 \\ c = {g}^{2} + {f}^{2} - {r}^{2} \\ c = {( - 2)}^{2} + {( - 3)}^{2} - {(5)}^{2} \\ = - 12 \\ therefore \\ {x}^{2} + {y}^{2} - 2x - 3y - 12 = 0[/tex]