In ΔJKL, the measure of ∠L=90°, JL = 60, KJ = 61, and LK = 11. What ratio represents the tangent of ∠J?In ΔFGH, the measure of ∠H=90°, GF = 37, HG = 12, and FH = 35. What ratio represents the sine of ∠F?

Answer:

Question 1: in the same direction as the force

Question 2: trying to push a rock that never moves

Question 3: 750 J

Question 4: the distance over which the force is applied

Question 5: The force a person applies to a simple machine

Question 6: 1st Class

Question 7: True

Question 8: pair of tweezers

Question 9: True

Question 10: Watts (W)

Question 11: potential energy

Question 12: False

Question 13: True

Question 14: When it starts to fall

Question 15: Before it starts moving

Question 16: Power and watts

/force and newton

/Work and Joules

/Temperature and Celsius

/Speed and distance/time

/Velocity and displacement an time

Question 17: True

Question 18: False

Question 19: True

Question 20: Cumulus

Step-by-step explanation:

The force applied moves the object in the direction of the force. Suppose if the force is applied to the moving object in that case object moves in the direction of the stronger force. Thus, according to the given question the applied force moves the object in its direction

Work is when there is energy that is exerted throughout an object using force and action. Which displaces the measure of the force and the application of that specific action.

Given:  

Force applied F = 50 N  

Distance s = 15 m  

Find:  

Work done W  

Computation:  

Work done W = Force x distance  

Work done W = 50 x 15  

Work done W = 750 J

A Pair of tweezers is an example of a Third Class lever. The force is applied in the middle of the tweezers which causes a force at the tips of the tweezers. The fulcrum is where the two halves of the tweezers are joined together.   Whereas a pair of scissors and a pair of pliers is an example of a first class lever.

Power is the rate of using energy or the rate of doing work. Basically, any units of energy (or work) and time can be used to generate a unit of power and can be computed as Work/time. Watt is the standard metric unit of power.

We can use a case scenario to illustrate what Power is. If you take a book and lift it a meter high, you will end up doing the same amount of work regardless of whether you lift the book slowly or quickly. However, you can increase your power which is the rate of doing work when you lift the book quickly.

Power (P) is the rate at which energy is transferred or converted. Thus, power equals work divided by time (P = W / t). The SI unit of power is the watt (W), in honor of Scottish inventor James Watt (1736 - 1819)

energy which a body possesses by virtue of being in motion is kinetic

Kinetic energy is when an object has the power to move, Potential energy would be when its resting on the shelf.

Earth is surrounded by invisible gases that form a thin protective blanket that we call the atmosphere. It contains the oxygen that we breath as well as other important gases such as nitrogen, carbon dioxide, water vapor, and ozone.

The permanent gases whose percentages do not change from day to day are nitrogen, oxygen and argon. Nitrogen accounts for 78% of the atmosphere, oxygen 21% and argon 0.9%. Gases like carbon dioxide, nitrous oxides, methane, and ozone are trace gases that account for about a tenth of one percent of the atmosphere.

Weather maps show these areas using a large “H” to areas bring fair weather with clear skies, while Low pressure brings stormy weather and clouds.

Cumulus clouds look like fluffy, white cotton balls in the sky. They are beautiful in sunsets, and their varying sizes and shapes can make them fun to observe! Stratus cloud often look like thin, white sheets covering the whole sky.

Answer:

n+v= -8

Step-by-step explanation:

number=n; variable=v

n+v=-8

Answer:

the  probability in which the buyer would roll to get two sixes is 1 ÷ 36

Step-by-step explanation:

The computation of the probability in which the buyer would roll to get two sixes is shown below:

= 1 ÷ (6 × 6)

= 1 ÷ 36

Hence, the  probability in which the buyer would roll to get two sixes is 1 ÷ 36

Answer: The product of a b and c is 0.

Step-by-step explanation:

The given expression : [tex]2xy^{-2}{4xy^2}[/tex]

[tex]=2\times4x^{1+1}y^{-2+2}\ \ \ \ [\text{Property of exponents: } a^m\times a^n=a^{m+n}][/tex]

[tex]=8x^2y^0[/tex]

When we compare this to [tex]ax^by^c[/tex], we get a=8, x=2, y=0

The product of a, b and c = [tex]a\times b \times c[/tex]

[tex]=8\times2\times0\\\\=0[/tex]

The product of a b and c is 0.

Answer:

1/35

Step-by-step explanation:

1/5*7 = 1/35

Answer:

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

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Step-by-step explanation:

First expression = 3y

second expression = 3 * 2 x

LCM = 3 * 2x * y = 6xy

Answer:

I think its 15^-7

Step-by-step explanation:

you can forget about the one and just look at the 15 and 7 which you get 15^-7

The fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The number expression is:

= (1/15)⁷

As we know, from the definition of the integer exponent;  integer exponents are exponents that should be integers. It may be a positive or negative number.

After using the properties of the integer exponent:

= (15⁻¹)⁷

= 15⁻⁷

Thus, the fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ2

Answer:

Step-by-step explanation:

Length (L)= 2x - 3 cm

Breadth (b) = x + 7 cm

Area of the rectangle

= L * b

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

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

= 2x² + 14x  - 3x - 21

=( 2x² + 11x - 21) cm²

hope it helps

Answer:

[tex]2x^{2}[/tex] + 11x -21 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area of a rectangle = Length × Width

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

Multiply 2x with x, 2x with +7, -3 with x and -3 with +7

= [tex]2x^{2}[/tex] + 14x - 3x - 21

= [tex]2x^{2}[/tex] + 11x -21 [tex]cm^{2}[/tex]

Answer:

Step-by-step explanation:

AB = BG

10 = 7+x

x = 3

Answer:

a d

Step-by-step explanation:

Answer:

..............................

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

It is symmetrical on the y-axis so must be.

Answer:

correct

Step-by-step explanation:

Let n = number of gum packs he buys.

After he starts with 30, spends 12, then spends 4n, he must have at least 0 remaining. So:

[tex]30-12-4n\geq 0[/tex]

Simplify by subtracting 30-12:

[tex]18-4n\geq 0[/tex]

Subtract 18 from both sides:

[tex]-4n\geq -18[/tex]

Divide both sides by -4 (flip the sign when you multiply or divide by a negative):

[tex]n\leq 4.5[/tex]

You can only buy a whole number of gum packs, so:

[tex]n\leq 4[/tex]

Preston can buy up to 4 gum packs, assuming his money isn't stollen my monke

Answer:

The highest common factor of 120 and 150 Is

30.

Hope it will help ✔

120

/ \

10. 12

/. \. /. \

2 5. 2. 6

/. \

2. 3

Step-by-step explanation:

150

/. \

10. 15

/. \. /. \

2. 5. 3. 5

so its 30

Answer:

Option 4

Step-by-step explanation:

Since k is greater than or equal to -7, the number line should be going in the right direction, along with the starting point being shaded.

Answer:

£208

Step-by-step explanation:

Given:

Height of solid box (h) = 20 cm

Width (w) = 80 cm

Length (l) = 10 cm

Cost of paint = £0.04 per cm²

Required:

Cost of painting the box

Solution:

✔️First, find the surface area of the box

Surface area = 2(l*w + l*h + w*h)

S.A = 2(10*80 + 10*20 + 80*20)

S.A = 2(800 + 200 + 1,600)

S.A = 2(2,600)

S.A = 5,200 cm²

✔️Find the cost of painting 5,200 cm² surface area of the box.

Cost of pianting 1 cm² = £0.04

Cost of painting 5,200 cm² = 5,200 × 0.04

Cost of painting the box = £208

Answer:

28

Step-by-step explanation:

28 times 2 = 56

28 times 1 = 28

56 + 28 = 84

Answer:

21/2

Step-by-step explanation:

step 1: remove parentheses

10+1/2

step 2: calculate

21/2

(alternative forms: 10 1/2, 10.5)

Answer:

he will pay 11.28 dollars. I hope it helps!

Answer:

Your answer would be $11.28

Step-by-step explanation:

if you find 4% of 282 you would get 11.28 so therefore it is your answer.

9514 1404 393

Answer:

  yes, the triangles are congruent -- by the SAS congruence postulate

Step-by-step explanation:

Two sides and the angle between them are marked congruent, so the Side-Angle-Side (SAS) congruence postulate applies.

The two triangles are SAS congruent.

Answer:

So what exactly is the question? bc it doesn't actually show a question

Step-by-step explanation:

divide 470 by 299 and then that should be your answer on the number of skiers

Answer:

the answer is C. because the factor was 36x^3-15x^2-6x so i got 3(x^2+1)(4×-1)

Answer:

1+0=1

4+0=4

3+0=3

hope this helps

Answer:

x= 40, y= 140

Step-by-step explanation:

if two parellel lines cut by a transversal then same-side interior angles are supplementary.

180-140 = x

x = 40

x and y are suplementary

180-40 = 140

Answer:

f(x)=4^x+3

Step-by-step explanation:

ok annnnnd

Answer: The length of the fence will be 150 feet

Step-by-step explanation:

The question is asking you to find the hypotenuse of a rectangle with a length of 120 feet and a width of 90 feet. To find the hypotenuse we will need to use the formula   a^2 + b^2 = c^2

120 feet will be a

90 feet will be for b  

this is because a and b are the two legs of the rectangle.

120^2 + 90^2 = c^2

14400 + 8100 = c^2

22500 = c^2

   c =√22500

 c= 150

Answer:

Step-by-step explanation:

Hope this Helps ;)

Problem 3

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

Explanation:

It doesn't matter what shape the base is, so the fact it's a hexagon isn't useful info here. What is useful is that the area of the base is 25 square inches.

We multiply this base area by the height, and then divide by 3 to get the volume of the pyramid.

V = (BaseArea*height)/3

V = (25*9)/3

V = 75 cubic inches

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Problem 4

The approximate volume is found by using pi = 3.14

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

Explanation:

We apply this formula to find the volume of a cone

V = (1/3)*pi*r^2*h

In this case, r = 12 is the radius (half the diameter) and h = 30 is the height.

So,

V = (1/3)*pi*12^2*30

V = (1/3)*pi*4320

V = (1/3)*4320*pi

V = 1440pi ...................... exact volume in terms of pi

V = 1440*3.14

V = 4521.6 ....................... approximate volume if you use pi = 3.14

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Problem 5

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

Explanation:

Mary's cube has side lengths of 5 inches, so the volume of this cube is 5*5*5 = 5^3 = 125 cubic inches.

James then wants to triple the side lengths of her cube to have a new larger cube that has side lengths of 3*5 = 15 inches. The volume of this new larger cube is going to be 15*15*15 = 15^3 = 3375

To compare the two volumes, we'll divide the larger over the smaller

(larger volume)/(smaller volume) = (3375)/(125) = 27

This number 27 is due to cubing the value 3, ie 3^3 = 3*3*3 = 27

So the larger cube is 27 times larger compared to the smaller cube.

As another example, let's say he wanted to only double the side lengths. This would mean the larger volume is 8 times larger, since 2^3 = 2*2*2 = 8. Whatever the linear scale factor is, cube it and you'll get the volume scale factor.