A car travels at the speed of 60km/h

How far can the car travel in 6 hours and 30 minutes?

Let's do

[tex]\\ \sf\longmapsto 2sin^260cos60tan^245[/tex]

[tex]\\ \sf\longmapsto 2\left(\dfrac{\sqrt{3}}{2}\right)^2\times \dfrac{1}{2}\times (1)^2[/tex]

[tex]\\ \sf\longmapsto 2\times \dfrac{(\sqrt{3})^2}{2^2}\times \dfrac{1}{2}\times 1[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{2}\times \dfrac{1}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{4}[/tex]

Trigonometric values

[tex]\Large{ \begin{tabular}{|c|c|c|c|c|c|} \cline{1-6} \theta & \sf 0^{\circ} & \sf 30^{\circ} & \sf 45^{\circ} & \sf 60^{\circ} & \sf 90^{\circ} \\ \cline{1-6} $ \sin $ & 0 & $\dfrac{1}{2 }$ & $\dfrac{1}{ \sqrt{2} }$ & $\dfrac{ \sqrt{3}}{2}$ & 1 \\ \cline{1-6} $ \cos $ & 1 & $ \dfrac{ \sqrt{ 3 }}{2} } $ & $ \dfrac{1}{ \sqrt{2} } $ & $ \dfrac{ 1 }{ 2 } $ & 0 \\ \cline{1-6} $ \tan $ & 0 & $ \dfrac{1}{ \sqrt{3} } $ & 1 & $ \sqrt{3} $ & $ \infty $ \\ \cline{1-6} \cot & $ \infty $ &$ \sqrt{3} $ & 1 & $ \dfrac{1}{ \sqrt{3} } $ &0 \\ \cline{1 - 6} \sec & 1 & $ \dfrac{2}{ \sqrt{3}} $ & $ \sqrt{2} $ & 2 & $ \infty $ \\ \cline{1-6} \csc & $ \infty $ & 2 & $ \sqrt{2 } $ & $ \dfrac{ 2 }{ \sqrt{ 3 } } $ & 1 \\ \cline{1 - 6}\end{tabular}}[/tex]

Answer: 90 points

Step-by-step explanation:

Team A's score = 72 points

Team B's score = 125% of A's

= 90 points

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Answer:

Step-by-step explanation:

The supplement of the exterior angle is 180 - 75 = 105

In a cyclic quadrilateral (a four sides figure where all the vertices touch the circumference of a circle), the opposite angles are supplementary. Therefore <a = 180 - 105 = 75

But I think you already knew that.

Answer:

x = 59/10, z = 237/70, and y = -121/70

Step-by-step explanation:

Answer:

Mutal fund because its a formerly greatest instruments

The name of an investment that pools money from many investors in order to acquire a large variety of stocks, bonds, and other investments is Mutual fund.

Investment is traditionally defined as the "commitment of resources to achieve later benefits

A mutual fund is a type of investment vehicle that pools money from multiple investors to invest in a diversified portfolio of stocks, bonds, and other securities.

Mutual funds are managed by professional fund managers who use the pooled funds to purchase a range of investments, with the goal of generating a return for the investors.

Investors in mutual funds own shares in the fund, and the value of their investment is based on the performance of the underlying securities held by the fund.

Mutual funds offer investors the benefits of diversification, professional management, and ease of investment, as well as the ability to invest in a variety of asset classes with relatively low minimum investment requirements.

Hence, the name of an investment that pools money from many investors in order to acquire a large variety of stocks, bonds, and other investments is Mutual fund.

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Answer:

Step-by-step explanation:

¾*90=67.5

180-67.5=112.5°

Answer:

60°

Step-by-step explanation:

You can see the explanation in the picture

Answer: A. 20 is the answer.

Step-by-step explanation:

x+40 = 3x

or, 40 = 3x-x

or, 2x = 40

or, x = 40/2

so, x = 20

Answer:

1.96 ;

1.216

Step-by-step explanation:

Given the data :

x : __0 _ 1 _ 2 _ 3 _4 _5 Total

P(x) .07 .36 .27 .17 .10 .03 1.00

. The mean, also called the expected value is defined as ;

E(X) = Σx*p(x)

E(X) = (0*0.07) + (1*0.36) + (2*0.27) + (3*0.17) + (4*0.10) + (5*0.03) = 1.96

The standard deviation, ; √var(x)

Var(X) = Σx²*p(x) - E(X)²

Var(X) = [(0² * 0.07) + (1² * 0.36) + (2² * 0.27) + (3² * 0.17) + (4² * 0.10) + (5² * 0.03)] - 1.96²

Var(X) = 5.32 - 3.8416

Var(X) =14784

SD(X) = √1. 4784 = 1.216

1.4

2.3

3.7

solution 1

2+2+=4

solution 2

3

Answer:

Step-by-step explanation:

r = d/2

r = 10.2/2 = 5.1

Area = pi * r^2

Area = 3.14 * 5.1^2

Area = 81.67 in^2

To the nearest 1/10, this is 81.7 in^2

Answer:

37.7

Step-by-step explanation:

First, we have to divde 22/7 to find the scale factor. I chose 22 and 7 because those two sides are ocngruent. We get 3.14. We then have to multiply 12 by 3.14 beacuse that is the side that is congruent with the side y. When you multiply you should get 37.68. Since we have to round we get 37.7.

The area covered by the roof would be 84.5 square yards.

To calculate the area covered by the roof the formula that should be used would be the formula for the area of a square;

That is ;

Area = 2(length×width)

= 2(6.5×6.5)

= 2(42.25)

= 84.5 yards²

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Answer:

Letter B. Hyperbole is your answer

Answer:

-2x^2-8x+12

Step-by-step explanation:

f(x) = 3x^2-2x+4

g(x) = 5x^2+6x-8

(f-g)(x)= 3x^2-2x+4 -(5x^2+6x-8)

Distribute the minus sign

(f-g)(x)= 3x^2-2x+4 -5x^2-6x+8

Combine like terms

          =-2x^2-8x+12

Answer: (f+g)(x)=8x^2+4x-4

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Given,

96 + 2² / 2

96 + 4 / 2

100 / 2

50

Answer and Step-by-step explanation:

1.

Since we known how much money Jane and Mark have in total, we can subtract the amount Jane has to find the amount Mark has.

750 - 175 = $575

Mark has $575.

2.

We know how many cards Jamal sold, so if we add it to the amount he still has left, we can find the original amount of cards Jamal had.

17 + 83 = 100

Jamal had 100 cards.

#teamtrees #PAW (Plant And Water)

Answer:

Mark will have $575.

Step-by-step explanation:

Take the total amount ($750) and subtract Jane's contribution ($175) to get Mark's contribution($575).

$750-$175=$575

Answer:

the answer is 3.81

but rounding it it will be 3.8 meters

Step-by-step explanation:

Pythagorean theorem says

a²+b²=c²

so,

take take the Lowest measurement as a² which will be 7 and take 8 as the hypotenuse or the longest side which is c²

then put it all together you get

7²+x²=8²

we made b as x because we will be finding b

then substitute the values

x²=8²-7²

x²=64-49

x²=15

to remove that square from the x you then put square root in both

✓x²=✓15

press in the calculator, root of 15 will be about 3.81

now we got

x=3.81

x is the missing measurement

Answer:

40 days

Step-by-step explanation:

w1*h1*d1=w2*h2*d

15*8*20=10*6*d

2400=60d

d=2400/60

d=40

Answer:

16 pair of shoes

Step-by-step explanation:

If Gayle donated x pairs, it means he is left with 30 - x pair of shoes.

Bonnie donated half as many as Gayle as donated.

We know Gayle donated x pairs, so Bonnie must have donated x/2.

Bonnie is left with 22 - (x/2) pairs after donation.

The question says, after donation they have the same number of pair of shoes.

It means, 30 - x = 22-(x/2),

If you will manipulate this equation and make x the subject,

you will get x=16.

I hope it helps.

Gayle donated 16 shoes

Number of shoes Gayle has after the equation can be represented with this equation : 30 - x

Where x = number of shoes she donated

Number of shoes Bonnie donated = 0.5x

Number of shoes Bonnie has after the equation can be represented with this equation : 22 - 0.5x

If Bonnie and Gayle ended with the same amount of shoes after the donation, this can be represented as:

30 - x = 22 - 0.5x

Combine similar terms

30 - 22 = x - 0.5x

8 = 0.5x

Divide both sides of the equation by 0.5

x = 16

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Answer:

We want to find a solution of the system:

x^2 + y^2 > 49

y ≤ –x^2 – 4

Here we do not have any options, so let's try to find a general solution.

First, we can remember that the equation of a circle centered in the point (a, b) and of radius R is:

(x - a)^2 + (y - b)^2 = R^2

If we look at our first inequality, we can write it as:

x^2 + y^2 > 7^2

So the solutions of the first inequality are all the points that are outside (because the symbol used is >) of the circle of radius R = 7 centered in the origin.

From the other equation, we would get:

y ≤ –x^2 – 4

This is parabola, anything that is in the graph of the parabola or below will be a solution for this inequality.

Then the solutions of the system, are the ones that are in the region of solutions for both inequalities.

You can see the graph below, where both regions are graphed. The intersection of these regions is the region of the solutions for the system of inequalities:

by looking at the graph, we can see a lot of points that are solutions, like:

(0, -10)

(0, -15)

(2, -10)

etc.

Answer:

C on Edge or (1,-9)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Basically, the period of a sinusoidal graph is the distance between one cycle to another. As can be visually seen, this is 2.

Answer:

2

Step-by-step explanation:

its right on Acellus

Answer:

26

Step-by-step explanation:

Given: Lines J and H are parallel lines. O intersects both lines equally.

Since two angles equal 180, that will be what  (4y + 12) and 64 will be equal to.

(4y + 12) + 64 = 180

76 + 4y = 180

-76          -76

-------------------

    4y = 104

      y = 26

x and y is both 26 because they are vertical angles.

Hope this helped.

Answer:

g(x) = 4 - x^2

at x-intercept, y=0

0=4-x^2

x^2=4

x = ± 2

=> two x- intercepts, (-2,0) and (2,0)

at y-intercept, x = 0

g(x) = y = 4 - 0 = 4

y-intercept = (0,4)

The x-intercept is ( ±2 , 0 ) and y- intercerpt is (0,4).

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.

This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.

g(x) = 4 - x²

At x-intercept, y = 0

0=4-x²

x² = 4

x = ± 2

Two x- intercepts, (-2,0) and (2,0)

at y-intercept, x = 0

g(x) = y = 4 - 0 = 4

y-intercept = (0,4)

Therefore, the x-intercept is ( ±2 , 0 ) and y- intercerpt is (0,4).

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Step-by-step explanation:

Arlington is increasing because it has 1.027, if it was 0.27 it would be decreasing

If p(6)= 4107 that means after 6 years there would be a total population of 4107

hopefully this answer can help you to answer the next question.

Answer:

j+2

Step-by-step explanation:

combine like terms

3k - 3k = 0

8j - 7j = 1j or j

6 - 4 = 2

put it all together

j + 2

Answer:

j + 2

Step-by-step explanation:

= 8j - 3k + 6 - 7j + 3k - 4

= 8j - 7j - 3k + 3k + 6 - 4

=j + 2

Answer from Gauth math

Answer:

According to the graph presented within the proposed interrogate, the answer to such is identified as ‘C’: 2, 3, 5, 5, 6, 7, 8, 10, 11.

Step-by-step explanation:

To evaluate for such a problem, a comprehension of the “Whisker” plots is obligated.

- The box geometric figure with the vertical line contained within represents the average of the numbers presented.

* In this peculiar case, 6 is acknowledged as the individual value responsible for the mean.

Thus far, browsing at such answer choices, we are obligated to appoint an answer where 6 is the standard deviation or the mean (where 6, and only 6, is found in the middle of the set of numbers provided).

The only answer choice in which certifies to all conditions thus far declared is disseminated as “C”.

*I hope this helps.

Answer: 825

Step-by-step explanation:

Plug in the values for v = π*r²*h

So, your new equation is v = π*5²*11 (I got 5 because 10 is the diameter, the radius is half the diameter, therefore r = 5.)

The question is also telling us to replace π with 3.

now we solve, after gathering all of our information.

v = 3*5²*11

v=3*25*11

v=75*11

v=825

Answer:

y=(5/6)x-6

Step-by-step explanation:

The slope intercept form of a line is y=mx+c. The equation of the line will be y=(5/6)x-6

Answer:

1. the area of the triangle minus the area of the small, inner rectangle. what did you not understand there ?

the standard formula (hi, internet !) for the area of a triangle is baseline×height/2.

the standard formula (hi, first grade !) for the area of a rectangle is length×width.

that's it.

1.a.

the volume of an object regularity shaped like a silo is always ground area times height.

for this object we only need to imagine to stand the object up sideways on the triangle side.

and don't forget - an area is always a square unit (like cm²,m², ft², ...). and a volume is always a cubic unit (like cm³, m³, ft³, ...).

so then, the triangle area is the ground area. and the original long side line of the object is is height.

as we said in 1. above, the area of a triangle is baseline×height (of the triangle, not of the overall object) divided by 2.

so, we have here 6×4/2 = 6×2 = 12 m²

and now the ground area × object height = 12×8=96 m³

b.

the standard formula for the volume of a ball (hi, internet !) is pi×r³.

so, we have here pi×9³. can you calculate that with your calculator ? that is pi×729 = 2290.221 cm³

2a.

the height of the cone is (as the drawing already suggests) determined via the right-angled triangle of the radius (half of the diameter) of the ground circle, the height of the cone and the length of the sideline on the outside mantle of the cone. this sideline is the Hypotenuse (the baseline of the triangle opposite of the 90 degree angle).

so, we use Pythagoras

c² = a² + b² (c being the Hypotenuse, a and b being the sides).

11² = 8² + h²

121 = 64 + h²

h² = 57

h = 7.55 cm

2b.

the standard formula for the volume of a cone (hi, internet !) is

pi×r²×h/3

pi×8²×7.55/3 = pi×64×7.55/3 = 506 cm³

Step-by-step explanation:

all of that you could easily search on the internet and since it yourself way faster than putting things in here and waiting for responses.

as there is really nothing to explain but just to use the standard formulas with the given numbers.