An equilateral triangle is a triangle with all three sides of equal length. All of the angles in an equilateral triangle are equal.

What is the measure of angle θ in the triangle shown?(Figure 1) Recall that the sum of the angles in a triangle equals 180∘.

Answer:

470.4N

Explanation:

Given parameters:

Mass of the skydiver = 48kg

Unknown:

Force she exerts as she is falling to the ground  = ?

Solution:

The force she exerts while falling to the ground is her weight;

    Weight  = mass x acceleration due to gravity

Acceleration due to gravity  = 9.8m/s²  

  Weight  = 48 x 9.8  = 470.4N

Answer:

The object has an approximate mass of 4.06 kilograms.

Explanation:

Force is equal to mass times acceleration, so all we need to do is divide the force provided by the acceleration provided.

[tex]m = \frac{62.2N}{15.3 \frac{m}{s^2}}\\\\m = \frac{62.3kg\frac{m}{s^2}}{15.3 \frac{m}{s^2}}\\\\m = \frac{62.2kg}{15.3}\\\\m = 4.06kg[/tex]

Answer:

Explanation:

The velocity can be found by using the formula

[tex]v = \sqrt{ \frac{2k}{m} } \\ [/tex]

k is the kinetic energy

m is the mass

From the question we have

[tex]v = \sqrt{ \frac{2 \times 4116}{4200} } \\ = 1.4[/tex]

We have the final answer as

Hope this helps you

Answer:

The speed of the lift is 1.4 m/s

Explanation:

Kinetic Energy

Is the type of energy of an object due to its motion. It's proportional to the square of the speed and the mass.

The equation for the kinetic energy is:

[tex]\displaystyle K=\frac{1}{2}mv^2[/tex]

Where:

m = mass of the object

v = speed at which the object moves

The kinetic energy is expressed in Joules (J)

It's given the mass of the lift as m=4,200 kg and its kinetic energy K=4,116 J. To calculate the speed (magnitude of velocity), we solve the formula for v as follows:

[tex]\displaystyle v=\sqrt{\frac{2k}{m}}[/tex]

[tex]\displaystyle v=\sqrt{\frac{2*4,116}{4,200}}[/tex]

[tex]\displaystyle v=\sqrt{1.96}[/tex]

v = 1.4 m/s

The speed of the lift is 1.4 m/s

Answer:

Granite is durable, as it is hard and tough.

Gneiss has resistance to pressure and mechanical impacts

Explanation:

Granite is an igneous rock. It is mostly used in building works and construction because they are very durable. They are hard and tough and they have no internal structures.

Gneiss is used for flooring, ornamental stone, tombstones because of the fact that it shows resistances to pressure and also mechanical impacts.

how they are formed in nature:

In nature, granite is formed from the cooling down of hot molten magma and it's solidification before it reaches the surface of the earth.

In nature, gneiss is as a result of igneous rock or sedimentary rocks metamorphosing. Gneiss and granite are kind of similar. When subjected to great heat, granite becomes gneiss

Answer:

1. Point 2.

2. Either #1 or #4 (sorry, I'm not 100% sure).

3. I'm pretty sure #3.

I hope this helps!

Answer:

A. Plane mirror and piece of paper

Explanation:

Diffuse reflection is the reflection of light or other waves or particles from a surface such that a ray incident on the surface is scattered at many angles rather than at just one angle as in the case of specular reflection. An ideal diffuse reflecting surface is said to exhibit Lambertian reflection, meaning that there is equal luminance when viewed from all directions lying in the half-space adjacent to the surface.

Answer:positioning the cannon higher above the ground

Explanation:

❤️

Answer:

C. Both a and b

Explanation:

Firstly, persons and objects in a moving plane as described in this question, are moving at the same speed as the plane even if there is no individual movement of these objects.

However, this question describes a person sitting still in a moving plane. This means that;

- The person is motionless in relation to everything in the plane i.e the person is not moving even if other things in the plane are.

- The person is in motion compared to everything on the ground i.e. the person is moving at the same speed as the plane, hence, in comparison with the ground, the person is moving.

Therefore, options A and B are correct

Answer:

[tex]v_f=0.15\:\mathrm{m/s}[/tex]

Explanation:

From the Law of Conservation of Momentum, we can write the following equation:

[tex]m_1v_1+m_2v_2=m_fv_f[/tex]

Because the toy car was initially at rest, [tex]m_2v_2=0[/tex].

Therefore, we can plug in given values and solve for [tex]v_f[/tex]:

[tex]m_1v_1=m_fv_f,\\0.050\cdot 0.20 = (0.050+0.015)v_f,\\v_f=\fbox{$0.15\:\mathrm{m/s}$}[/tex] (two significant figures).

Answer:

false

Explanation:

Answer:

The answer is B false

Explanation:

Gamma radiation is not composed of both neutrons and protons.

Answer:

B

Explanation:

I can't explain right now, mabe later.

Answer:

6.19m/s

Explanation:

Given parameters:

Mass of bowling ball  = 35.2kg

Momentum  = 218kgm/s

Unknown:

Velocity of the bowling ball  = ?

Solution:

Momentum is the quantity of motion a body possess;

    Momentum  = mass x velocity

   218  = 35.2 x velocity

     Velocity  = 6.19m/s

Answer:

E = 50850[kJ]

Explanation:

To boil the water we must use the latent heat of vaporization. Also we need to multiply this value by the mass of the water.

[tex]E=m*H_{v}[/tex]

Where:

E = energy produced by heat [J]

m = mass = 225 [kg]

Hv = 226000 [J/kg]

[tex]E = 225*226000\\E = 50850000 [J]\\E=50850[kJ][/tex]

Answer:

1. where the skater turns and goes back in the opposite direction- point w

2. gravitational force of the object

3. point a

4. the bar representing sphere 4 should be twice as tall as the bar representing sphere 2

5. B; its mass is smaller (?)

yolo

Answer:

ABCDEFGHIJKLMNOPQRSTUVWXYZ

Explanation:

Answer:

The new force is 2/3 of the original force

Explanation:

Coulomb's Law

The electrical force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between the two objects.

Written as a formula:

[tex]\displaystyle F=k\frac{q_1q_2}{d^2}[/tex]

Where:

[tex]k=9\cdot 10^9\ N.m^2/c^2[/tex]

q1, q2 = the objects' charge

d= The distance between the objects

Suppose the first charge is doubled (2q1) and the second charge is one-third of the original charge (q2/3). Now the force is:

[tex]\displaystyle F'=k\frac{2q_1*q_2/3}{d^2}[/tex]

Factoring out 2/3:

[tex]\displaystyle F'=\frac{2}{3}k\frac{q_1*q_2}{d^2}[/tex]

Substituting the original force:

[tex]F'=\frac{2}{3}F[/tex]

The new force is 2/3 of the original force

Answer: The trip took 40 minutes average speed should be 1 mph

Explanation:  It takes aprox 12 mins to reach 20km and the trip took 40 mins. This is obviously above what it should be. Not sure if I'm 100% correct

Answer:

A. White light is the absence of all color.

Explanation:

It is false that white light is the absence of all color. In fact, white light is the presence of all colors in the spectrum.

Electromagnetic waves are waves that do not require any material medium for propagation. It is the interaction of electric and magnetic fields.

Answer:

What happens to the density of an object if the object is cut in half? ... The density remains the same because cutting the object in half will divide the mass & volume by the same amount. Also, the density of a substance remains the same no matter what size it is.

Explanation:

What happens to the density of an object if the object is cut in half? ... The density remains the same because cutting the object in half will divide the mass & volume by the same amount. Also, the density of a substance remains the same no matter what size it is.

Answer:

17.56 N

Explanation:

Given that,

Mass of a crate, m = 5 kg

It is on a 21.0° hill

We need to find the y component of the weight.

y component = mgsinθ

Put all the values,

y-component = 5×9.8×sin(21)

= 49×sin(21)

= 17.56 N

So, the y-component of the weight is 17.56 N.

Answer:

-45.745

Explanation:

it is negative because it is downwards.

Answer:

D. Upward force on the shuttle

Explanation:

The hot gas from space shuttles released downward causes an upward force on the shuttle and propels it up the more.

Answer:

B) [tex]\frac{2}{3}[/tex]

Explanation:

The electric force between charges can be determined by;

F = [tex]\frac{kq_{1} q_{2} }{r^{2} }[/tex]

Where: F is the force, k is the Coulomb's constant, [tex]q_{1}[/tex] is the value of the first charge, [tex]q_{2}[/tex] is the value of the second charge, r is the distance between the centers of the charges.

Let the original charge be represented by q, so that;

[tex]q_{1}[/tex] = 2q

[tex]q_{2}[/tex] = [tex]\frac{q}{3}[/tex]

So that,

F = [tex]q_{1}[/tex][tex]q_{2}[/tex] x [tex]\frac{k}{r^{2} }[/tex]

  = 2q x [tex]\frac{q}{3}[/tex] x [tex]\frac{k}{r^{2} }[/tex]

  = [tex]\frac{2q^{2} }{3}[/tex] x [tex]\frac{k}{r^{2} }[/tex]

  = [tex]\frac{2}{3}[/tex] x [tex]\frac{kq}{r^{2} }[/tex]

F = [tex]\frac{2}{3}[/tex] x [tex]\frac{kq}{r^{2} }[/tex]

The electric force between the given charges would change by [tex]\frac{2}{3}[/tex].

Answer:

trueeeeeeeeeeeeeeeeee

Answer:

480m/s²

Explanation:

Acceleration is the change in velocity of a body with respect to time;

Acceleration = change in velocity/change in time

change in velocity = 29,500 - 24,000

change in velocity= 5,500

Change in time = 55 - 5

change in time = 50secs

Substitute into the formula;

spaceships acceleration = 24000/50

spaceships acceleration = 480 m/s²

Hence the spaceships acceleration is 480m/s²

Explanation:

Work done is a physical quantity that is defined as the force applied to move a body through a particular distance.

Work is only done when the force applied moves a body through a distance.

    Work done  = Force x distance

The maximum work is done when the force is parallel to the distance direction.

The minimum work is done when the force is at an angle of 90° to the distance direction.

 So to solve this problem;

 multiply the force applied by Zack and distance through which the bull was pulled.

Answer:

2.7

Explanation:

The following data were obtained from the question:

Mass (m) of box = 100 Kg

Length (L) of ramp = 4 m

Height (H) of ramp = 1.5 m

Mechanical advantage (MA) of ramp =?

Mechanical advantage of a ramp is simply defined as the ratio of the length of the ramp to the height of the ramp. Mathematically, it is given by:

Mechanical Advantage = Lenght / height

MA= L/H

With the above formula, we can obtain the mechanical advantage of the ramp as follow:

Length (L) of ramp = 4 m

Height (H) of ramp = 1.5 m

Mechanical advantage (MA) of ramp =?

MA = 4/1.5

MA = 2.7

Therefore, the mechanical advantage of the ramp is 2.7

Answer:

[tex]4x - 6 = 90 \\ 4x = 96 \\ \boxed{x = 24}[/tex]

Now, AD is an altitude of∆ABC

Therefore, D is the midpoint of BC

[tex]x + 7 = 2x - 15 \\ \boxed{x = 22}[/tex]

CD is (22+7) = 29 & DB is (2×22-15) = 29

[tex] \huge \boxed{\: x = 24 }\\ \huge \boxed{CD \: and \:DB= 29}[/tex]

When light is transmitted through an object things can happen. The light could be reflected by the thing. Or it could be absorbed by the object. Saying this based on what I know.

Answer:

72.11

Explanation:

Using the formula:

R^2=A^2+B^2

R= √ A^2+B^2

Where R= displacement

A=40km

B=60km

R= √ 40^2+60^2

R= √ 1600+3600

R= √ 5200

R=72.11km