sin theta =12/13 then find tan theta.
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Answer: The area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].

Step-by-step explanation:

Give: Length = 8 feet

Width = [tex]\frac{1}{2} \times 8[/tex] = 4 feet

As piece of wood is similar to that of a rectangle. Hence, formula to calculate area is as follows.

[tex]Area = length \times width[/tex]

Substitute the values into above formula as follows.

[tex]Area = length \times width\\= 8 feet \times 4 feet\\= 32 ft^{2}[/tex]

Thus, we can conclude that the area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].

Given:

Sam left Malaysia at 12 pm local time.

The flight time was 12 hours.

Malaysia is 7 hours ahead of UK.

To find:

The local time in UK when he arrived.

Solution:

It is given that Sam left Malaysia at 12 pm local time and the flight time was 12 hours.

12 hours after 12 pm is 12 am. It means local time in Malaysia when he reached UK is 12 am.

Malaysia is 7 hours ahead of UK. So, we need to subtract 7 hours from 12 am to get the local time in UK when he arrived.

12 am is midnight. So, 7 hours before 12 am is 5 pm.

12 am - 7 hours = 5 pm

Therefore, the local time in UK when he arrived is 5 pm.

Answer: [tex]1\ \text{Pizza}\ \text{and}\ \dfrac{5}{16}\ \text{pizza}[/tex]

Step-by-step explanation:

Given

Mr. Caldwell has 10 full pizzas and half of another one

he wants to distribute it in among 8 of his students

Total pizzas are [tex]10+\frac{1}{2}=\frac{21}{2}[/tex]

So, each student gets

[tex]\Rightarrow \dfrac{\dfrac{21}{2}}{8}\\\\\Rightarrow \dfrac{21}{16}\ \text{or}\ 1\dfrac{5}{16}[/tex]

that is 1 pizza and five-sixteenth part of a pizza.

Answer:

B., E.

Step-by-step explanation:

what was the difficulty ? this is just to understand the movement of a thrown rock.

what happens, when you throw a rock through the air ? it will first move up a little bit, reaches a maximum height, and then drops down again.

that is what the graphic shows.

so, can A. be correct ? no. as we move from 0 seconds to the right (time passes) the height of the rock increases first (before decreasing again later on).

can C. be correct ? no, it would mean that the function would look the same on both sides of the x-axis. this is clearly impossible.

can D. be correct ? no, nowhere in the graph is the height (= the functional value, the y to the x) negative.

can F. be correct ? no, we clearly see the maximum height at 1.5 seconds. at 3 seconds the height is actually at its minimum.

Answer:

[tex]A(w) = (40 - w) * w[/tex]

Step-by-step explanation:

Given

[tex]P = 80[/tex] ---- perimeter

Required

Write the area as a function of width

The perimeter of a rectangle is:

[tex]P =2(l + w)[/tex]

Where

[tex]l \to length\\ w \to width[/tex]

So, we have:

[tex]80 = 2*(l+w)[/tex]

Divide by 2

[tex]40 = l + w[/tex]

Make l the subject

[tex]l =40 - w[/tex]

The area of a rectangle is:

[tex]A = l * w[/tex]

Substitute: [tex]l =40 - w[/tex]

[tex]A = (40 - w) * w[/tex]

Hence, the function is:

[tex]A(w) = (40 - w) * w[/tex]

Step-by-step explanation:

Given that,

The diameter of the merry-go-round, d = 14 feet

Time taken, t = 6 seconds

Radius, r = 7 feet

The linear speed of the merry-go-round is given by :

[tex]v=\dfrac{2\pi r}{t}\\\\v=\dfrac{2\pi \times 7}{6}\\\\=7.33\ m/s[/tex]

Also,

[tex]v=r\omega[/tex]

Where

[tex]\omega[/tex] is the angular speed

So,

[tex]\omega=\dfrac{v}{r}\\\\\omega=\dfrac{7.33}{7}\\\\=1.04\ rad/s[/tex]

Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.

Answer:

[tex]\frac{125}{147}[/tex]

Step-by-step explanation:

10% ÷ 24% ÷ 49%

1/10 ÷ 6/25 ÷ 49/100

5/12 ÷ 49/100

[tex]\frac{125}{147}[/tex]

Answer:

[tex]4,060[/tex]

Step-by-step explanation:

[tex]\binom{30}{3}=\boxed{4060}[/tex]

There are 30 teachers for the principal to choose from initially. After the principal chooses one, there will be 29, 28, 27, and so on.

Since the principal is only choosing 3, there are [tex]30\cdot 29\cdot 28=24,360[/tex] permutations. However, the order of which the principal chooses the teachers does not matter. In other words, without loss of generality, let the name of three of the teachers be Adam, Bernie, and Carla. Regardless of whether the principal chooses Adam then Bernie then Carla or Carla then Adam then Bernie, etcetera, the same three teachers are still being chosen.

Thus, we must divide by the number of ways you can rearrange three distinct teachers, which is [tex]3![/tex].

Therefore, the desired answer is [tex]\frac{24360}{3!}=\frac{24360}{6}=\boxed{4,060}[/tex]

Answer:

Step-by-step explanation:

Answer:

10x^2 - 13x - 3

Step-by-step explanation:

(5x + 1)(2x - 3) = 10x^2 - 15x + 2x - 3 = 10x^2 - 13x - 3

Answer:

[tex](180-73)=z+114/2[/tex]

[tex]107*2=z+114[/tex]

[tex]z=214-114[/tex]

[tex]z=100[/tex]

❄ B. 100

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

hope it helps...

have a great day!!

In the given circle in which angles are 73°,96°,114° then the value of z is equal to 100 which is option b.

Circle is a shape consisting fall points in a plane thata are at a given distance from a given distance from a given point which is the centre of the circle.

In the circle we can see the following:

(180-73)=(z+114)/2

107*2=z+114

214=z+114

z=214-114

=100

Hence in the given circle in which angles are 73°,96°,114° then the value of z is equal to 100 which is option b.

Learn more about angles at https://brainly.com/question/25716982

#SPJ2

Step-by-step explanation:

3.92 - uwuehehrvgrsiehhehehhe

Answer:

He has $3.92.

Hope this helps!

Answer:

3+(4*3)=15.....................

Answer:

21

Step-by-step explanation:

3+4=7

7×3=21

you are going to add 3 and 4.

After adding, you multiply 7by 3

giving yout 21

1 5/6 + 1 1/3 = 3 1/6

3 1/6 * 60 = 190

Answer:

x=7

Step-by-step explanation:

x/3 +  x/6 = 7/2

Multiply each side by 6 to clear the fractions

6(x/3 +  x/6) = 7/2 *6

Distribute

2x +x = 21

Combine like terms

3x = 21

Divide by 3

3x/3 = 21/3

x = 7

Answer:

x = 7

Step-by-step explanation:

Given

[tex]\frac{x}{3}[/tex] + [tex]\frac{x}{6}[/tex] = [tex]\frac{7}{2}[/tex] ( multiply through by 6, the LCM of 3,6, 2 to clear the fractions )

2x + x = 21

3x = 21 ( divide both sides by 3 )

x = 7

Answer:

- 6

Step-by-step explanation:

Given the integers : 12,-6,8,-5,7,-4,3

To obtain which one falls on the extreme left, the integers are arranged in ascending order, and the least value is chosen as this is the number which falls to the extreme left of arranged on a number line.

Ordered value in ascendibg order :

-6, -5, -4, 3, 7, 8, 12

The value which will. Fall. On the extreme left is : - 6

Answer:

[tex]x = \frac{19-2y}{3}[/tex]

[tex]y=-\frac{3x+19}{2}[/tex]

Step-by-step explanation:

4x + y = 22

y = x - 3

4x + y + y = 22 + x - 3

4x + 2y = 19 + x

4x - x + 2y = 19 + x - x

3x + 2y ÷ 3 = 19 ÷ 3

[tex]x = \frac{19-2y}{3}[/tex]

[tex]y=-\frac{3x+19}{2}[/tex]

Answer:

a)Let's solve for x.

4x+y=22

Step 1: Add -y to both sides.

4x+y+−y=22+−y

4x=−y+22

Step 2: Divide both sides by 4.

4x

4

=

−y+22

4

x=

−1

4

y+

11

2

a)y=x−3

b)y=

−1

2

x+6

b)x=y-12

Answer:

Yes and Yes

Step-by-step explanation:

If you fold them over on both sides then they overlap perfectly, therefore they are reflective.

Answer:

going clockwise from upper left the correct graph is the 2nd one

Step-by-step explanation:

asymptote at -2

Answer:

Ummmm its just a black screen

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

y = 2x - 4

y + 4 = 2x

x = y/2 + 4/2

x = y/2 + 2

—-

y = x/2 + 2

Answer:

y = x/2 + 2

This is the answer because I got it right on my test.

Answer:

every other student who enters the school

Step-by-step explanation:

It is given that the middle school students have an average height of 5.25 feet. The students belongs to Seton Grove School.

It means that every student who comes to this school or enters the school has a height that is around 5 feet or more.

Thus we can say that every other student who enters the school has a average height of 5.25 feet.

This sample makes the generalization about the heights of the school students valid.

Answer:

c

Step-by-step explanation:

correct on edmentum / plato

Answer: 1600g

Step-by-step explanation: (4 * 2kg) / 5 = 8/5kg

8/5kg = 1.6kg

1.6kg * (1000g / 1kg) = 1600g

Answer:

1 3/5kg.

Step-by-step explanation:

So, to figure this out, lets go over what we know.

There is 2kg.

We need to find 4/5 of this.

A way you can think of this is 2kg*4/5. Or:

2*4/5

Remember, all whole numbers have a denominator of 1. So this is:

2/1*4/5

Or

[tex]\frac{2}{1} *\frac{4}{5}[/tex]

When doing multipaction, the numerator multipies hte numeraot, and the denominator multiplies the denominator.

So in the numerator, it will be 2 times 4:

2*4=8

And in the denominator, it will be 1 times 5:

1*5=5

So the answer is:

8/5

Hope this helps!

Answer:

6×square + 5× - 4 =o

6×square+(8-3)×-4=0

6×square+8×-3×-4=0

2×(3×+4)-1(3×+4)=0

(3×+4)(2×-1)=0

either,

3x+4=0

3×=-4

×= -4/3

or,

2x-1=0

×=1/2,,

Answer:

∅ = 2.6º

Step-by-step explanation:

sin = opp/hyp

sin∅ = 0.3/6.7

∅ = arcsin0.3/6.7

use calculator

∅ = 2.6º

Answr 2.(1.3)^x

Step-by-step explanation: