David has a 32 ounce energy drink he drinks 10 ounces Enter the percentage of Ounces he has left of his energy drink.

Answer:

49.8 nautical miles

Step-by-step explanation:

Recall that speed = distance/time

Time = 2hours

Speed = 12knots and 16 knots respectively

D = speed×time

D1 = 12×2 = 24

D2 = 16×2 = 32

Using the 'cosine rule' we have:

a^2 = b^2+c^2-2bc cos Θ

Where a =?

b =24

c = 32

Θ = 125°

a² = 24² + 32² - 2(24)(32)cos125°

a^2 = 576+1024 - 1536cos125°

a² = 1600 - 1536(-0.57357)

a² = 1600+881.0134

a² = 2481.0134

Then, a² = 2481.013406

a =√2481.013406

Hence, a = 49.8 nautical miles

In this exercise we must use the knowledge about triangles to calculate the distance that a ship will travel, in this way we find that:

49.8 nautical miles

First, remember the formula for distance, which is:

\(Speed = distance/time\)

And knowing that the data reported in the exercise are:

So putting the values ​​informed in the distance formula, we have:

\(D = speed*time\\D_1 = 12*2 = 24\\D_2 = 16*2 = 32\)

Using the 'cosine rule' we have:

\(a^2 = b^2+c^2-2bc cos \theta\)

Find the a, will have:

\(b =24 \ \ \ c = 32 \ \ \ \theta = 125\\a^2 = 24^2 + 32^2 - 2(24)(32)cos125\\a^2 = 576+1024 - 1536cos125\\a^2 = 1600 - 1536(-0.57357)\\a^2 = 1600+881.0134\\a^2 = 2481.0134\\a=49.8\)

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Answer:

(a) 3x+28+5x+52+2x-10=180 (∠ sum of Δ)

                          10x+70=180

                                 10x=110

                                     x=11

(b) ∠C = 2x-10

           = 2(11)-10

           =  12°

Answer:

2/12 = 1/6

Step-by-step explanation:

To find the probability of something with an equal chance of each outcome, we can apply the formula (number of favorable outcomes)/(number of total outcomes). Because there is an equal chance for each side of the die to be landed on, we can apply this.

On a 12 sided die, there are 12 sides. Two of those sides are 3 and 9. Therefore, there are two favorable outcomes (3 and 9). There are 12 sides to choose from, so there are 12 total outcomes, making the probability 2/12 = 1/6

The length of e is 29.53 inches.

In the following, the law of sine is presented in detail: In a triangle, the sine of angle A divided by side "a" equals the sine of angle B divided by side "b" equals the sine of angle C divided by side "c".

Given:

f= 33 inches

<F= 140, <D = 5

Now,

<E= 180 - (<F+ <D) = 180 - (140 + 5) = 35

Using Sine law

sin F / f = sin E/ e

sin 140 / 33 = sin 35 / e

0.642/ 33 = 0.573 / e

0.0194 e= 0.573

e= 29.53 inches

Hence, the length of e is 29.53 inches.

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Answer:

DCE and BCA

Step-by-step explanation:

Vertical angles are angles which lie directly opposite each other on intersecting lines. Because of this they are equal, and share the same vertex. Out of these pairs, only DCE and BCA are vertical angles because they lie opposite to each other on the lines FJ and IM, and share a vertex of point C.

Hope this helped!

Answer:

yes congratulation this is the correct answer

The point should be withdrawn from the data set to contain a diagram illustrating the function will be (3, 1) or (3, 3).

Functions may be encountered throughout mathematics and are vital for the evolution of meaningful connections.

If the number of values of the variable 'y' is more than one for a given value of 'x', then it is not a function.

For a function, the number of values of 'y' should be one for each value of 'x'.

From the graph, at x = 3, the value of 'y' will be 1 and 3. Then the coordinates are (3, 1) and (3, 3).

The point should be withdrawn from the data set to contain a diagram illustrating the function will be (3, 1) or (3, 3).

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Answer:

-6

Step-by-step explanation:

17-6=11

11-6=5

5-6=-1

-1-6=-7

\(d = u_{2} - u_{1} \\ d = 11 - 17 \\ d = - 6\)

The break even number is 500 units

The parameters given in the question are

Fixed expenses is $7,000

Contribution margin is $14/unit

The formular for break even number is

= fixed expenses/contribution margin

= 7000/14

= 500

The break even number is 500 units

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For right triangle A, the sides and angles are given as follows;

AB = 3

BC = 2.24

AC = 2

m∠A = 48°

m∠B = 42°
m∠C = 90°

For right triangle B, the sides and angles are given as follows;

AB = 15

BC = 12

AC = 9

m∠A = 53°

m∠B = 37°
m∠C = 90°

Right Triangle A

To get BC, we must use the following formula: BC = √(AB²-AC²)
BC = √3²-2²

BC  = 2.23607

BC = 2.24 (Approximately)

m∠B = arcsin (AB/AC)

m∠B = arcsin (2/3)
m∠B = arcsin(0.66666666666667)

m∠B = 0.72973 rad; when converted to degrees,

m∠B = 42° (approxinmately)

Using the theorem of sum of angles in a triangle,

m∠A = 180 - 42 - 90

m∠A = 48

Right Triangle B

To get BC, we must use the following formula: AB = √(AC²+ CB²)
AB = √12²+9²

AB  = √225

AB = 15

m∠B = arcsin (AC/CB)

m∠B = arcsin (9/15)
m∠B = arcsin(0.6)

m∠B = 0.6435 rad; when converted to degrees,

m∠B = 37° (approxinmately)

Using the theorem of sum of angles in a triangle,

m∠A = 180 - 37 - 90

m∠A = 53°

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Answer:

I can answer if you make me brainliest

Given:

The measures of the sides of the rectangle are (2x+7) and (5x+9).

Aim:

We need to find the area of the given rectangle.

Explanation:

A)

Let the length of the rectangle, l=2x+7.

Let the width of the rectangle, w =5x+9.

Consider the formula to find the area of the rectangle.

Substitute l=2x+7 and w =5x+9 in the formula.

Multiply (2x+7) and (5x+9) as follows.

Answer:

B)

Here variable is x and the highest power of the variable x is 2.

We know that the highest power of the variable is degree.

This expression contains three terms.

We know that an algebraic expression containing three terms is trinomial.

Answer:

C)

Consider the polynomials (2x+7) and (5x+9).

The multiplication of the polynomial is polynomial,

It gives the closure property of the polynomials by multiplication.

Answer 1232

Step-by-step explanation:

16 oncues equal 1 pound so 8x2 equals 16

so you would moultiply 616x2

Answer: 1,232 calories

Step-by-step explanation: Since there’s 16 ounces in a pound, all you have to do is multiply 616 by 2 which equals 1,232 calories. 8 times 2 = 16, so 616 times 2 = 1,232

Answer:

Explanation:

Given:

To find the slope intercept form, we use the formula:

y=mx+b

where:

m=slope

b= y intercept

First, we find the slope(m) using the formula:

We plug in what we know.

Next, use any of the given points ( Ex. Let x= -4, y=1) and m=-3/2, and plug in into y=mx+b.

So,

y=mx+b

1=(-3/2)(-4) +b

Simplify and rearrange

1=6+b

b=1-6

b=-5

Then, plug in m= -3/2 and b= -5 into y=mx+b.

Therefore, the slope intercept form is:

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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The option A that is 2 days after being planted, the two plants will of the same height( Where the two lines intersect in a graph).

How to know if the lines intersect in the graph of a function?

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

And after solving both equations if the values of x and y satisfies both equations then they intersect at that values of x and y.

Now,

On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden.

The graph models the growth of each plant since the day they were planted.

The intersection of the two lines represents the days after being planted were the two plants the same height.

The answer is that 2 days after being planted, the two plants are the same height.

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The answer is that 2 days after being planted, the two plants are the same height.

How to know if a point lies in the graph of a function?

The answer is that 2 days after being planted, the two plants are the same height.

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Answer:

$52 dollars

Step-by-step explanation:

(first step)- $8 x 5 books = $45 dollars

(second step)- $45 + $7 = $52 dollars

Answer:

The answer is 16pi or 50.3cm² to 1 d.p

Step-by-step explanation:

The non shaded=area of shaded

d=8

r=d/2=4

A=pir³

A=p1×4²

A=pi×16

A=16picm² or 50.3cm² to 1d.p

Answer:

3.45 cm (3 s.f.)

Step-by-step explanation:

We have been given a 5-sided regular polygon inside a circumcircle. A circumcircle is a circle that passes through all the vertices of a given polygon. Therefore, the radius of the circumcircle is also the radius of the polygon.

To find the radius of a regular polygon given its side length, we can use this formula:

\(\boxed{\begin{minipage}{6 cm}\underline{Radius of a regular polygon}\\\\$r=\dfrac{s}{2\sin\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

Substitute the given side length, s = 8 cm, and the number of sides of the polygon, n = 5, into the radius formula to find an expression for the radius of the polygon (and circumcircle):

\(\begin{aligned}\implies r&=\dfrac{8}{2\sin\left(\dfrac{180^{\circ}}{5}\right)}\\\\ &=\dfrac{4}{\sin\left(36^{\circ}\right)}\\\\ \end{aligned}\)

The formulas for the area of a regular polygon and the area of a circle given their radii are:

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{nr^2\sin\left(\dfrac{360^{\circ}}{n}\right)}{2}$\\\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a circle}\\\\$A=\pi r^2$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Therefore, the area of the regular pentagon is:

\(\begin{aligned}\textsf{Area of polygon}&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(\dfrac{360^{\circ}}{5}\right)}{2}\\\\&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(72^{\circ}\right)}{2}\\\\&=\dfrac{\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}}{2}\\\\&=\dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}\\\\&=110.110553...\; \sf cm^2\end{aligned}\)

The area of the circumcircle is:

\(\begin{aligned}\textsf{Area of circumcircle}&=\pi \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\\\\&=\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\&=145.489779...\; \sf cm^2\end{aligned}\)

The area of the shaded area is the area of the circumcircle less the area of the regular pentagon plus the area of the small central circle.

The area of the unshaded area is the area of the regular pentagon less the area of the small central circle.

Given the shaded area is equal to the unshaded area:

\(\begin{aligned}\textsf{Shaded area}&=\textsf{Unshaded area}\\\\\sf Area_{circumcircle}-Area_{polygon}+Area_{circle}&=\sf Area_{polygon}-Area_{circle}\\\\\sf 2\cdot Area_{circle}&=\sf 2\cdot Area_{polygon}-Area_{circumcircle}\\\\2\pi r^2&=2 \cdot \dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\\end{aligned}\)

                                                 \(\begin{aligned}2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)-16\pi}{\sin^2\left(36^{\circ}\right)}\\\\r^2&=\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}\\\\r&=\sqrt{\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}}\\\\r&=3.44874763...\sf cm\end{aligned}\)

Therefore, the radius of the small circle is 3.45 cm (3 s.f.).

Answer:

4y

Step-by-step explanation:

y - (-3y)

y + 3y

4y

When you see two negatives they basically become an addition symbol. In this case you then add the like terms which are y and 3y to get 4y. Hope this helps!!

Answer: (5 , 1)

Step-by-Step explanation:

hihi your problem is a system of question y = x-4 and  y = -x+6 okay so  graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!

y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right

y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left

once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!

the solution is  x = 5 and y = 1 which is also (5 , 1)

hopefully this was helpful !

Answer:33 1/3

Step-by-step explanation:

Answer: 33.35

Step-by-step explanation:

6 2/3 is 6.67 in decimal form. 6.67 x 5 = 33.35

So, the answer is 33.35

I hope this helps!

Step-by-step explanation:

To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2. This can help you do it.

According to the information we can infer that the total yardage traveled from 0 to 120 seconds is 140 yards.

To calculate the total yardage traveled we have to consider the movement of the O'Connor Panthers. In this case we have to consider that the movement in the y axis.

In this case we can conclude that the total yardage traveled was 140 yards because:

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Answer:

Step-by-step explanation:

The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.

Answer:

L = 7 m

W = 6 m

Step-by-step explanation:

P = 2L + 2W

26 = 2(2W - 5) + 2W

26 = 4W - 10 + 2W

26 = 6W - 10

+10.         +10

36 = 6W

divide both sides by 6

36/6 = W

6 = W

L = 2(6) - 5

L =12 - 5 = 7

Answer:

7((x-2)(3x+4))

Step-by-step explanation:

Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product.  You get 7((x-2)(3x+4))

When viewed through the magnifying glass, the termite appears to be approximately 1.58 mm in length.

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Answer:

57327392393629324

Step-by-step explanation: