one half of the sum of number and 10

Explanation:

This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is

long = short*sqrt(3)

We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse

hypotenuse = short*2

The given question can be solved by applying the cosine rule. Therefore, Sailboat A is 12.61 miles away from the starting point. Thus it is the farthest from the starting point.

a. To determine the distance of sailboat A from the stating point.

Applying the cosine rule to the path traveled by sailboat A, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ

   = [tex]5^{2}[/tex] + [tex]8^{2}[/tex] - 2(5*8) Cos (180 - 29)

   = 25 + 64 -80 * -0.8746

[tex]c^{2}[/tex] = 89 + 70

[tex]c^{2}[/tex] = 159

c = [tex]\sqrt{159}[/tex]

  = 12.6095

Thus, the distance of sailboat A from starting point is 12.61 miles.

b. To determine the distance of sailboat B from the stating point.

Applying the cosine rule to the path traveled by sailboat B, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ

   = [tex]8^{2}[/tex] + [tex]5^{2}[/tex] - 2(5*8) Cos (180 - 51)

   = 64 + 25 -80 * -0.6293

[tex]c^{2}[/tex] = 89 + 50.344

   = 139.344

c = [tex]\sqrt{139.344}[/tex]

  = 11.8044

c = 11.80 miles

Thus, the distance of sailboat B from starting point is 11.80 miles.

Comparing the distances of the sailboats from the starting point, sailboat A is farther from the starting point.

A sketch is attached to this answer for better reasoning.

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Answer:

23

Step-by-step explanation:

She originally had 23 because if she gave away 6 bags of chips, she would have 17 left

-

17+6=23

double check answer:

23-6=17

Answer:

the answer is 23

Step-by-step explanation:

17+6=23

so she 23 bags of chips

Answer:

~corresponding angles

~congruent

~7x-10=6x so x=10

~60⁰ and 60⁰

Answer:

x=62

Step-by-step explanation:

(x+1)+ x+55=180

-55               -55 (take away the 55)

(x+1)+ x= 125 (take out of parenthesis)

x+1+ x= 125

2x+ 1= 125  (add the two x's together)

-1         -1        (take away the one)

2x= 124  (divide by 2)

     2

x=62

Answer/Step-by-step explanation:

We start with the variable "x". Let's call "x" Dan's full tank.

So we know that right now he has 1/5x or 1/5 of a full tank.

After adding 13 gallons, at the end, he has 7/10x, or 7/10 of a full tank

So we start with

(1/5)x + 13 = 7/10x

Let's subtract 1/5x from both sides

13 = 7/10x - 1/5x

Remember, we need to use common denominators to subtract, so 1/3 becomes 2/10

13 = 7/10-2/10x

Now we simplify to get

13 = 5/10x

Multiply the reciprocal of 5/10 to both sides which is 10/5

13 * 10/5= x

Answer is 26 gallons.

Therefore, Deon's tank can hold 26 gallons.

Answer:

26 gallons.

Step-by-step explanation:

7/10 - 1/5

= 7/10 - 2/10

= 5/10 = 1/2.

So the tank holds 2*13 = 26 gallons.

Answer:

slope = - 2.25

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

9x + 4y = 8 ( subtract 9x from both sides )

4y = - 9x + 8 ( divide through by 4 )

y = - 2.25x+ 2 ← in slope- intercept form

with slope m = - 2.25

Answer:

Step-by-step explanation:

Let the number is x.

2/3 of a number is 10:

0.15 times of the number is:

Correct choice is d

Answer:

9

Step-by-step explanation:

99 : 66 ( divide both parts by 11 )

= 9 : 6

Answer:

Nope. Moltiplication (and thus divisions) has to be done before any addition or subtractions, unless parenthesis indicate otherwise.

[tex]3(5)^2 - 18\div 3 = 3(25) - 6 = 75-6=69[/tex]

Answer:

(136.60 - 61.60) / 30 = 2.5 hours

Step-by-step explanation:

First, subtract the cost of parts from the total: 136.60 - 61.60 = 75

Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5

Answer:

The answer is 80 miles 2/23

Step-by-step explanation:

I hope this helps

Answer:

the height = 5cm

the base = 2cm  

Step-by-step explanation:

Answer:

the answer to hsbhjbhfbghwebfhdfbghef gbhbr ghb erhjtgb is hdshdjsh df ejnjg grkejfiejfirnigjre

Step-by-step explanation:

you have to multiply hsbhjbhfbghwebfhdfbghef gbhbr ghb erhjtgb by skjdkahdjhs to get jskhijdfkjd then multiply it by sijdikjakdj9uie. the answer would be hdshdjsh df ejnjg grkejfiejfirnigjre.

Answer:

0.83 pounds

Step-by-step explanation:

2.45 take away 1.62

For every 10 games they won they lost 6:

50 wins/ 10 wins = 5

5 x 6 loses = 30 loses

50 wins + 30 loses = 80 total games

Answer: 80

Answer:

1: 1/3

2: 3/19

3: 7/3

Step-by-step explanation:

Use the Pythagorean Theorem  [tex]a^2 + b^2 = c^2[/tex].

Since we have 2 sides we can easily solve for the third.

[tex]c^2 = 10^2 + 14 ^2[/tex]

[tex]c = \sqrt{100 + 196}[/tex][tex]= \sqrt{296}[/tex] ≈[tex]17.205[/tex]

Answer:

Place the index and middle fingers on the neck to the side of the windpipe to find the pulse.

Place two fingers between the bone and the tendon over the radial artery of the wrist to find the pulse.

Step-by-step explanation:

I did a test and that was a correct answer.

When it says the "x - 1 " is the factor of that function means when you find the root of the phrase x - 1 which is x = 1 , put it in the function then you have to get zero for the answer :

thus :

[tex]f(1) = 0[/tex]

Thus :

[tex]2 \times {1}^{3} + k(1) - 9 = 0[/tex]

So :

[tex]2 + k - 9 = 0[/tex]

[tex]k - 7 = 0[/tex]

Add both sides 7

[tex]k - 7 + 7 = 0 + 7[/tex]

[tex]k = 7[/tex]

There you go...

Have a great day ❤

Answer:

A=9

b=2.75

POINTS A AND B ARE 9 UNITS APART

Step-by-step explanation:

enjoy hope i get what i was promised :D

Answer:

a and b are 9 units apart

Step-by-step explanation:

Answer:

Step-by-step explanation:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh

S.A=(help me)

Veremos que el volumen total que cabe en el pilón es 2,800 m^3

Sabemos que el pilón tiene una capacidad máxima V.

Tambíen sabemos que de momento, el pilón tiene 1,600 m^3 de agua, y esto es equivalente a 4/7 de la capacidad máxima.

Entonces podemos plantear:

(4/7)*V = 1,600m^3

Podemos resolver esta ecuación para V si multiplicamos ambos lados por (7/4), así obtenemos:

V = (7/4)*1,600m^3 = 2,800 m^3

Es decir, el volumen total que cabe en el pilon es 2,800m^3

Sí quieres aprender más, puedes leer:

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Answer:

1/3

Step-by-step explanation:

4/12 divide by 4 to the top and bottom you get 1/3

[tex]\dfrac 4{12} = \dfrac{ 4 \times \tfrac 14 }{12 \times \tfrac 14} = \dfrac 13\\\\\\\\\text{Hence the answer is 1}[/tex]

Answer:

x / 3 = -8

Step-by-step explanation:

Answer:

it should be f

Step-by-step explanation:

Answer:

200.52 in^2

Step-by-step explanation:

to find the area of a circle, you square 6 and multiply it by pi in this case 3.14.

that gives you 113.04 but because this is only a half circle, it is 56.52 in^2.

Next, you need to find the rectangle. multiply 12(length) by 12(Width) to get 144 add 144 to 56.52 to get 200.52.

Hope this helped if it did please give me brainliest it helps me a lot. :)

Hope this helped!

Answer:

Step-by-step explanation:

|x|=x,if x>0

|x|=-x,if x<0

(a)

|7-9|=|-2|=-(-2)=2

(b)

|7|-9=7-9=-2