Question 10 of 12 View Policies Current Attempt in Progress Solve the given triangle. as √7.b = √8.c = √3 Round your answers to the nearest integer. Enter NA in each answer area if the triangle

The sample in this example is D) the small group of college students who are observed. The correct option is D.

The researcher has identified college students as her group of interest, but it is not feasible or practical to observe or study all college students. Therefore, she needs to select a subset of college students, which is known as a sample. In this case, she has chosen to observe a small group of local college students, which is the sample. It is important to note that the sample needs to be representative of the larger population of interest, in this case, all college students, in order for the results to be applicable to the larger group.

While the sample in this example is only a small group of local college students, the researcher would need to ensure that they are representative of all college students in order for the results to be generalizable.

To know more about sample visit:-

https://brainly.com/question/32277048

#SPJ11

Answer:

l = 14 , w = 12

Step-by-step explanation:

2l + 2w = 52 → (1)

l - w = 2 → (2)

multiplying (2) by 2 and adding to (1) will eliminate the w- term

2l - 2w = 4 → (3)

add (1) and (3) term by term to eliminate w

4l + 0 = 56

4l = 56 ( divide both sides by 4 )

l = 14

substitute l  14 into either of the 2 equations and solve for w

substituting into (1)

2(14) + 2w = 52

28 + 2w = 52 ( subtract 28 from both sides )

2w = 24 ( divide both sides by 2 )

w = 12

Answer:

180 ft^3

Step-by-step explanation:

volume=lwh

15 * 2* 6 = 180 ft^3

*change 24 inches to 2 feet*

Answer:

180 ft³

Step-by-step explanation:

To find the volume of a right rectangular prism, the equation is length x width x height. So, you would do 2 x 6 x 15, because 24 inches is 2 feet and the rest is given. And so, 2 x 6 x 15 = 180, so your answer is 180 ft³.

(hope this helps :P)

A. The angle that the second ball emerges after the collision can be written as sin' = cos v × (1 - cosθ).

B. The velocities of the balls after the collision are v₁ = u × cosθ - u × cos²θ - v₂ × cos(v) × (1 - cosθ)v₂ = u × sinθ + v₂ × sin(v) × (1 - cosθ)

(a) To determine the angle at which the second ball emerges after the collision, we can use the principle of conservation of momentum and conservation of kinetic energy.

Let's consider the collision in the x and y directions separately.

In the x-direction:

The initial velocity of the first ball (before collision) is given by:

u₁x = u × cosθ

The initial velocity of the second ball (before collision) is zero:

u₂x = 0

After the collision, let v₁x and v₂x be the final velocities of the first and second balls in the x-direction, respectively.

By applying the conservation of momentum in the x-direction, we have:

m × u₁x + m × u₂x = m × v₁x + m × v₂x

m × u × cosθ = m × v₁x + m × v₂x ----(1)

In the y-direction:

The initial velocity of both balls (before collision) is zero:

u₁y = 0

u₂y = 0

After the collision, let v₁y and v₂y be the final velocities of the first and second balls in the y-direction, respectively.

By applying the conservation of momentum in the y-direction, we have:

m × u₁y + m × u₂y = m × v₁y + m × v₂y

0 = m × v₁y + m × v₂y ----(2)

Since the masses of the balls are the same (m = m), equation (2) simplifies to:

v₁y + v₂y = 0 ----(3)

Now, let's consider the conservation of kinetic energy in the collision.

The initial kinetic energy of the system is given by:

KE_initial = (1/2) × m × u₁² + (1/2) × m × u₂²

= (1/2) × m × u² × (cos²θ + sin²θ)

= (1/2) × m × u²

The final kinetic energy of the system is given by:

KE_final = (1/2) × m × v₁² + (1/2) × m × v₂²

By applying the conservation of kinetic energy, we have:

KE_initial = KE_final

(1/2) × m × u² = (1/2) × m × v₁² + (1/2) × m × v₂²

u² = v₁² + v₂² ----(4)

Now, let's substitute v₁x = v₁ × cosθ and v₂x = v₂ × cosφ into equation (1):

m × u × cosθ = m × v₁ × cosθ + m × v₂ × cosφ

Dividing both sides by m × cosθ:

u = v₁ + v₂ × (cosφ / cosθ) ----(5)

Dividing equation (5) by u:

1 = v₁/u + v₂/u × (cosφ / cosθ)

Since sin' = v₂/u and cos v = v₁/u, we can rewrite equation (5) as:

1 = sin' × (cosφ / cosθ) + cos v

Multiply both sides by cosθ:

cosθ = sin' × cosφ + cos v × cosθ

Rearranging the equation, we have:

sin' × cosφ = cosθ - cos v × cosθ

sin' × cosφ = cosθ × (1 - cos v)

sin' = cosθ × (1 - cos v) / cosφ

Since sin' = sin(90° - φ)

and cosφ = cos(90° - φ), we can simplify the equation to:

sin(90° - φ) = cosθ × (1 - cos v) / cos(90° - φ)

sin(90° - φ) = cosθ × (1 - cos v) / sinφ

Using the trigonometric identity sin(90° - φ) = cos φ, we get:

cos φ = cosθ × (1 - cos v) / sinφ

Finally, since cos φ = cos(180° - φ), we can write:

cos φ = cosθ × (1 - cos v)

Hence, we have shown that the angle that the second ball emerges after the collision can be written as: sin' = cos v × (1 - cosθ).

(b) To find the velocities of the balls after the collision, use the equations derived in part (a) along with the conservation of momentum equation (1).

From equation (1), we have:

m × u × cosθ = m × v₁x + m × v₂x

u × cosθ = v₁ + v₂ × cosφ ----(6)

From equation (5), we have:

1 = v₁/u + v₂/u × (cosφ / cosθ)

Rearranging equation (6), we get:

v₁ = u × cosθ - v₂ × cosφ

Substituting this into equation (5), we have:

1 = (u × cosθ - v₂ × cosφ)/u + v₂/u × (cosφ / cosθ)

Multiplying through by u and simplifying, we get:

u = u × cosθ - v₂ × cosφ + v₂ × (cosφ / cosθ)

Dividing through by u and rearranging, we get:

1 = cosθ - v₂ × (cosφ / u) + v₂ × (cosφ / (u × cosθ))

Multiplying through by u × cosθ, we get:

u × cosθ = cosθ × u × cosθ - v₂ × (cosφ × cosθ) + v₂ × cosφ

Simplifying, we have:

0 = u × cos²θ - v₂ × (cosφ × cosθ) + v₂ × cosφ

Dividing through by u, we get:

0 = cos²θ - v₂ × (cosφ × cosθ) / u + v₂ × cosφ / u

Rearranging, we get:

v₂ × (cosφ × cosθ) / u = cos²θ + v₂ × cosφ / u

Multiplying through by u, we get:

v₂ × (cosφ × cosθ) = u × cos²θ + v₂ × cosφ

Substituting this into equation (6), we have:

u × cosθ = v₁ + (u × cos²θ + v₂ × cosφ)

Rearranging, we get:

v₁ = u × cosθ - u × cos²θ - v₂ × cosφ

Now, substituting the values of sin' and cos φ from part (a), we have:

v₁ = u × cosθ - u × cos²θ - v₂ × cos(v) × (1 - cosθ)

Therefore, the velocities of the balls after the collision are:

v₁ = u × cosθ - u × cos²θ - v₂ × cos(v) × (1 - cosθ)

v₂ = u × sinθ + v₂ × sin(v) × (1 - cosθ)

learn more about trigonometric identity: https://brainly.com/question/7331447

#SPJ4

Answer:

\(p_{1} = -\frac{4}{7}\), \(p_{2} = 6\)

Step-by-step explanation:

\(7p^{2} - 38p - 24 = 0\)

\((7p + 4) (p - 6) = 0\)

\(7p + 4 = 0\)

\(p_{1} = -\frac{4}{7}\)

\(p - 6 = 0\)

\(p_{2} = 6\)

Answer:

\(p = 6 \: \: or \: \: p = - \frac{4}{7} \)

Step-by-step explanation:

7p^2-38p-24=0

\(7p ^{2} - 38p - 24 = 0\)

\(7 {p}^{2} - 38p = 0 + 24\)

\(7 {p}^{2} - 38p = 24\)

7p^2-38p-24=0

\(7p {}^{2} - 42p + 4p - 24 = 0 \)

\(7p(p - 6) + 4(p - 6) = 0\)

\((p - 6)(7p + 4) = 0\)

\(p - 6 = 0 \: \: \: or \: \: 7p + 4 = 0 \)

\(p = 6 \: \: or \: \: p = - \frac{4}{7} \)

The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.

To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.

Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:

X=2, Y=1, Z=1

X=2, Y=1, Z=2

X=2, Y=2, Z=1

Step 2: Calculate the joint probability for each combination:

For X=2, Y=1, Z=1:

f(2, 1, 1) = (2+1) * 1 = 3

For X=2, Y=1, Z=2:

f(2, 1, 2) = (2+1) * 2 = 6

For X=2, Y=2, Z=1:

f(2, 2, 1) = (2+2) * 1 = 4

Step 3: Sum up the joint probabilities:

P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13

They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.

Learn more about random variables here:

https://brainly.com/question/32245509

#SPJ11

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

Learn more about Pythagorean Identity here:https://brainly.com/question/24287773

#SPJ1

Answer:

y=3.7x + 120.3, 180

Step-by-step explanation:

Add them into a graphing calculator and you get y=3.7x + 120.3

Put 16 in for x:

3.7 (16) + 120.3

59.2 + 120.3 = 179.5, rounds to 180

We can infer that people with shorter arm lengths are more likely to own the fewest number of books.

If there is a correlation of 0.99 between one's arm length and the number of books they own, it implies a strong positive relationship between these two variables. In this context, it means that as arm length increases, the number of books owned also tends to increase.

Given this correlation, we can make an inference about people who own the fewest number of books. Since there is a strong positive correlation, individuals with shorter arm lengths are more likely to have fewer books compared to those with longer arm lengths. However, it's important to note that correlation does not imply causation, and there may be other factors at play influencing the number of books owned by individuals.

Therefore, based on the given information, we can infer that people with shorter arm lengths are more likely to own the fewest number of books.

Learn more about   length from

https://brainly.com/question/2217700

#SPJ11

Answer:

2 friends

Step-by-step explanation:

use decimals 2.5 and 1.25 divide them and you will get 2

The probability that the stock price increases from time 0 to time 1 is 0.4207. The probability that the stock price increases from time 0 to time 1, and then increases again from time 1 to time 2 is 0.0778. The probability that the stock price decreases from time 1 to time 3, with an increase from time 0 to time 1 is 0.0988

The geometric Brownian motion process is defined as:

dS(t) = μS(t)dt + σS(t)dW(t)

where μ is the drift parameter, σ is the volatility parameter, W(t) is a Wiener process, and S(t) is the stock price at time t.

To find P(S(1) > S(0)), we can use the fact that the logarithm of a geometric Brownian motion process is a Brownian motion process with drift parameter μ - σ^2/2. Thus, we can write:

ln(S(1)/S(0)) = (μ - σ^2/2) × 1 + σ × W(1)

ln(S(1)/S(0)) follows a normal distribution with mean (μ - σ^2/2) × 1 and variance σ^2 × 1, i.e., N(0.1 - 0.2^2/2, 0.2^2). Therefore,

P(S(1) > S(0)) = P(ln(S(1)/S(0)) > 0) = P(Z > (ln(S(1)/S(0)) - 0.1 + 0.2^2/2)/0.2)

where Z is a standard normal distribution. Using a standard normal table or calculator, we find:

P(S(1) > S(0)) = P(Z > 0.198) = 0.4207

Therefore, the probability is 0.4207.

To find P(S(2) > S(1) > S(0)), we can use the same approach as in part (a). We know that ln(S(2)/S(1)) and ln(S(1)/S(0)) are independent and follow normal distributions with mean (μ - σ^2/2) × 1 and variance σ^2 × 1. Therefore,

P(S(2) > S(1) > S(0)) = P(ln(S(2)/S(1)) > 0, ln(S(1)/S(0)) > 0)

Using the fact that ln(S(2)/S(1)) and ln(S(1)/S(0)) are independent, we can write:

P(S(2) > S(1) > S(0)) = P(Z1 > (ln(S(1)/S(0)) - 0.1 + 0.2^2/2)/0.2, Z2 > (ln(S(2)/S(1)) - 0.1 + 0.2^2/2)/0.2)

where Z1 and Z2 are independent standard normal distributions. Using a standard normal table or calculator, we find:

P(S(2) > S(1) > S(0)) = P(Z1 > 0.198, Z2 > 0.398) = 0.0778

Therefore, the probability is 0.0778.

To find P(S(3) < S(1) > S(0)), we can use the fact that the logarithm of a geometric Brownian motion process is a Brownian motion process with drift parameter μ - σ^2/2. Thus, we can write:

ln(S(3)/S(1)) = (μ - σ^2/2) × 2 + σ × (W(3) - W(1))

ln(S(1)/S(0)) = (μ - σ^2/2) × 1 + σ × W(1)

ln(S(3)/S(0)) = (μ - σ^2/2) × 3 + σ × W(3)

ln(S(1)/S(0)) and ln(S(3)/S(1)) are independent and follow normal distributions with mean (μ - σ^2/2) × 1 and variance σ^2 × 1, and mean (μ - σ^2/2) × 2 and variance σ^2 × 2, respectively.

Therefore, we can write:

P(S(3) < S(1) > S(0)) = P(ln(S(3)/S(1)) < 0, ln(S(1)/S(0)) > 0)

Using the fact that ln(S(3)/S(1)) and ln(S(1)/S(0)) are independent, we can write:

P(S(3) < S(1) > S(0)) = P(Z1 < -(ln(S(3)/S(1)) - 0.1 + 0.2^2)/0.4, Z2 > (ln(S(1)/S(0)) - 0.1 + 0.2^2/2)/0.2)

where Z1 and Z2 are independent standard normal distributions. Using a standard normal table or calculator, we find:

P(S(3) < S(1) > S(0)) = P(Z1 < -0.234, Z2 > 0.198) = 0.0988

Therefore, the probability is 0.0988

To know more about Brownian motion:

https://brainly.com/question/28441932

#SPJ4

The probability of getting 5 green seeds and 1 white seed in a single pod is 0.25 or 25%.

In bush beans, green seed color is dominant to white seed color. If a heterozygous plant with green seeds (Gg) self-fertilizes, we can use the principles of Mendelian genetics to determine the probability of obtaining 6 seeds in a single pod with 5 green and 1 white seed.

When the plant self-fertilizes, each seed in the pod receives one allele from the mother plant (G) and one allele from the father plant (g). Since the plant is heterozygous (Gg), there are two possible combinations of alleles that can result in a white seed: Gg or gg. The probability of getting a white seed is equal to the probability of inheriting the gg combination.

To calculate the probability, we can use a Punnett square. When a heterozygous plant self-fertilizes, the Punnett square shows that there is a 25% chance (1 out of 4 possible combinations) of obtaining a white seed (gg). Therefore, the probability of getting 5 green seeds and 1 white seed in a single pod is 0.25 or 25%.

It is important to note that this probability assumes that the inheritance of seed color follows Mendelian genetics and that there are no other factors influencing the expression of seed color in bush beans.

Know more about probability here:

https://brainly.com/question/30034780

#SPJ11

When 40 N force is applied to the end of a 60-cm wrench to make an angle of 30° with the handle of the wrench. The magnitude of the torque on a bolt at the other end of the wrench will be 12 N.m.

To calculate the magnitude of the torque on a bolt:

where:

Torque = ?

Force (F)= 40 N is the applied force (Given)

Distance (D) = 0.6 m (Given)

θ =  angle between force vector and lever arm = 30° (Given)

In the given scenario, the applied force is 40 N and the distance between the point of rotation and force applied is 60 cm (or 0.60 m). The angle formed between the force and the lever arm is 30°.

Torque = F × D × sin(θ)

= 40 N × 0.60 m × sin(30°)

= 24 N·m × 0.5

= 12 N·m

Therefore, the magnitude of the torque should be 12 N.m at the other end of the wrench.

To learn more about Force:

https://brainly.com/question/13014979

#SPJ4

Answer:

5

Step-by-step explanation:

Answer:

5 is the answer to the question.

Step-by-step explanation:

(3² - 8) + 4

= (3×3×3 - 8) + 4

= (9 - 8) + 4

= 1 - 4

= 5

Answer:

Many northerners were opposed to the Mexican-American War. Many southerners supported this conflict. A big reason for the different viewpoints regarding our involvement in this war was the issue of slavery. ... The northerners were concerned that many new states would be created from the lands we would receive from Mexico

Answer:

Rounded to the nearest tenth it's 4.2

Step-by-step explanation:

The grand canyon is 1600 meters deep at its deepest point. a rock is dropped from the rim above this point. express the height of the rock as a function of the time t in seconds. It will take approximately 18.05 seconds for the rock to hit the canyon floor.

The height of a rock dropped from the rim of the Grand Canyon can be expressed as a function of time, t, in seconds. To do this, we will use the free-fall equation, which states that the height of an object in free fall is given by:

a(t) = -1/2 * g * t^2 + h

where:
- a(t) is the height of the rock at time t,
- g is the acceleration due to gravity (approximately 9.81 meters per second squared),
- t is the time in seconds, and
- h is the initial height of the rock (1600 meters, in this case).

For the rock dropped from the rim of the Grand Canyon, the function becomes:

a(t) = -1/2 * 9.81 * t^2 + 1600

To find how long it will take the rock to hit the canyon floor, we need to find the value of t when the height, a(t), is equal to 0 (i.e., the rock reaches the floor).

0 = -1/2 * 9.81 * t^2 + 1600

Now, we'll solve for t:

1/2 * 9.81 * t^2 = 1600
t^2 = (1600 * 2) / 9.81
t^2 ≈ 325.99
t ≈ √325.99
t ≈ 18.05 seconds

Therefore, it will take approximately 18.05 seconds for the rock to hit the canyon floor.

To know more about free-fall equation refer here:

https://brainly.com/question/30761165

#SPJ11

In the given diagram of circle O, we need to find various measurements. Let's consider the following measurements:

Diameter (d): The diameter of a circle is the distance across it, passing through the center. To find the diameter, we can measure the distance between any two points on the circle that pass through the center. Let's say we measure it as 12 units.

Radius (r): The radius of a circle is the distance from the center to any point on the circumference. It is half the length of the diameter. In this case, the radius would be 6 units (12 divided by 2).

Circumference (C): The circumference of a circle is the distance around it. It can be found using the formula C = 2πr, where π is approximately 3.14 and r is the radius. Using the radius of 6 units, we can calculate the circumference as C = 2 * 3.14 * 6 = 37.68 units. Rounding to the nearest whole number, the circumference is approximately 38 units.

Area (A): The area of a circle is the measure of the surface enclosed by it. It can be calculated using the formula A = πr^2. Substituting the radius of 6 units, we can find the area as A = 3.14 * 6^2 = 113.04 square units. Rounding to the nearest whole number, the area is approximately 113 square units.

In summary, for circle O, the diameter is 12 units, the radius is 6 units, the circumference is approximately 38 units, and the area is approximately 113 square units.

For more such questions on various measurements

https://brainly.com/question/27233632

#SPJ8

A total of 40 fans are randomly selected throughout the whole stadium is best method to represents the population at the game

The best method for representing the population at the game is the one that is most likely to provide a random and representative sample of the entire population of sports fans attending the game.

Method 3, which involves randomly selecting 40 fans throughout the whole stadium, is likely to be the best method for obtaining a representative sample of the population.

This method has the advantage of being more random and less biased than the other methods, as it does not limit the selection to specific areas of the stadium or to fans who are in line for refreshments.

Hence, option D is correct.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ1

Answer:

its a rectangle

Step-by-step explanation:

how to explain this

Answer:

18

Step-by-step explanation:

The number of triangle in a polygon is ( n – 2), If the polygon has ‘ n ’ sides.

What is Polygon?

In figure, a polygon is a aeroplane figure that's described by a finite number of straight line parts connected to form a unrestricted polygonal chain. The bounded aeroplane region, the bounding circuit, or the two together, may be called a polygon. The parts of a polygonal circuit are called its edges or sides.

What is triangle?

A triangle is a polygon with three edges and three vertices. It's one of the introductory shapes in figure. A triangle with vertices A, B, and C is denoted triangle Alphabet. In Euclidean figure, any three points, whennon-collinear, determine a unique triangle and contemporaneously, a unique aeroplane .

Learn more about triangle click here:

https://brainly.com/question/27996834

#SPJ1

Answer:

y=4

Step-by-step explanation:

4*4*4=64

\(4^{3}\)=64

Answer:

y = 4

Step-by-step explanation:

y^3 = 64

Rewriting 64 as 4^3

y^3 = 4^3

When the powers are the same, the bases need to be the same

y = 4

Answer:

5 feet?

Step-by-step explanation: 10 divided by 2 = 5

Answer:

5 feet :D

Step-by-step explanation:

Well the answer would be 5 feet due to finding the half of a number you divide it by 2. 10 divided by 2 would be 5, so the answer is 5.

Answer:

Yes, P(A) = P(A|B)

Step-by-step explanation:

The context of the question is incomplete but I've assumed logically what it might be;

Whether a traveller flies or doesn't fly to their destination is unrelated to whether they home share or not;

Therefore, they are independent;

Independent events are events where the outcome of one event has no effect on the probabilities of the outcomes from a second event;

This can be represented mathematically as: P(A) = P(A|B);

The corollary of this is P(B) = P(B|A);

A common example easily understood would be if you flip a coin, there is a 50% chance of heads and 50% chance of tails;

If I flip and gets a heads first, the probability of getting a heads or tails on the second, third or tenth flip is going to be unchanged, i.e. 50% chance of heads and 50% chance of tails

40 freezers could be shipped in the container.

What is a variable?

A variable is a quality that may be measured and take on several values.

We are given that

A railroad container can hold weight=42,000 pounds

Total number of ovens for ship=90

Weight of each oven=200 lbs

Weight of each freezer=600 pounds

We have to find the number of freezers that can be shipped in the container.

Let x be the number of freezers that can be shipped in the container.

According to the question,

42000=90(200)+600x

42000=18000+600x

600x=42000-18000=24000

x=24000/600=40

Hence, 40 freezers can be shipped in the container.

To learn more about the variable from the given link

https://brainly.com/question/27894163

#SPJ1

Answer:

f'(1) = -64

Step-by-step explanation:

To find f'(1), we will be finding the f'(x) first which means the first derivative of f(x), we can find the derivative by using chain rule to this function.

The formula of chain rule is:

\(\displaystyle f(u) = u^n \to f'(u) = nu^{n-1}\cdot u'\)

In simple explanation, we derive normally (power rule) then multiply by the derivative of inside (u).

Applying the formula, we will have:

\(\displaystyle{f'(x)=4(x^2-3)^{4-1}\cdot (x^2-3)'}\\\\\displaystyle{f'(x)=4(x^2-3)^{3}\cdot 2x}\\\\\displaystyle{f'(x)=8x(x^2-3)^{3}}\)

Substitute x = 1 in the f'(x):

\(\displaystyle{f'(1)=8(1)(1^2-3)^3}\\\\\displaystyle{f'(1)=8(1-3)^3}\\\\\displaystyle{f'(1)=8(-2)^3}\\\\\displaystyle{f'(1)=8(-8)}\\\\\displaystyle{f'(1)=-64}\)

Answer:4

Step-by-step explanation:

Answer:

Translation

Step-by-step explanation:

Remember Translation as a 'Slide'

Answer:

translation

Step-by-step explanation:

hopes this help

Answer:

L=7

W=13

Perimeter=40

Area=91

Step-by-step explanation:

Perimeter = 2L+2W

40=2(7)+2W

40=14+2W

-14  -14

26=2W

Divide both sides by 2

13=W

Area=L x W

7 x 13 = 91

Answer:

length = 7 units

width = 13 units

area = 91  square units

perimeter = 40 units

Step-by-step explanation:

What is the area of a rectangle?

  ❖ The area of a rectangle can be found by multiplying the length and

       width of the rectangle.

What is the perimeter of a rectangle?

  ❖ The perimeter of a rectangle is the sum of all sides- length and

       width. In this case, we're given the perimeter as 40 units and the

       length as 7 units, but the width is unknown. Formula to find

       perimeter of rectangle is 2(l + w) = P.

Solving for Width

Solving for Area