How do you find the length of a rectangle when given the area?

Answer:

angle C is 90°

Step-by-step explanation:

(sorry if thats not the answer the question is confusing)

have a nice day!! :)

Answer:

the answer is 36ft by 48ft

Step-by-step explanation:

We first need to find the measurements of the green squares. Given the drawing is to scale we can say that each green square has equivalent measurements. Since there are 144 feet on each side of the original drawing, and 12 green squares on each side as well, then we need to divide 144 by 12 to find the measurements of one square. 144/12=12. the green squares are each 12ft by 12ft. to find the measurement of the jungle gym, we see how many green squares are on each side (there are 3 and 4) then multiply that number by 12. 4*12 I 48, and 3*12 is 36. Hence the measurements of 36ft by 48ft.

Answer:

90

Step-by-step explanation:

First you do s^2. In this case s is 3 and 3x3=9. Then multiple 9 by r. 9x2=18. Finally, multiply 18 by t. 18x5=90. The solution is 90

Step-by-step explanation:

4.5(9+d)-6

6.3h-j

8.r(s)²(t)

hope it helps.

Answer:

The volume of this rectangular prism is 96 cubic centimeters

Step-by-step explanation:

The volume of a rectangular prism = Length × width × height

= 8 × 6 × 2

= 96 cubic centimeters

Based on this information, we can conclude that the measured mean values of vcom,1 and vcom,2 are not significantly different from each other and fall within the range of experimental error.

Assuming that the mean value of vcom,1 is 5.2 m/s with an experimental uncertainty of 0.1 m/s, and the mean value of vcom,2 is 5.5 m/s with an experimental uncertainty of 0.2 m/s, we can calculate the difference between the two mean values and compare it with the combined experimental uncertainty.

The difference between the two mean values is 0.3 m/s, which is greater than the combined experimental uncertainty of 0.22 m/s (calculated as the square root of (0.1² + 0.2²)). Therefore, we can conclude that the two mean values are different and outside the range of experimental error.

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The complete question is :

What is the experimental uncertainty of the mean values of vcom,1 and vcom,2, and is the difference between them significant? Can we conclude that the two mean values are the same, or are they within the range of experimental error?

From the given diagram, we can identify two right-angled triangles. The triangles are shown below:

Using trigonometric ratios, we can find x as follows

We can equate the expressions for DF as follows:

Solving for x:

Answer:

x = 5

Answer:

umm im not smart sorry

Step-by-step explanation:

Answer:

month=m

book=b

m=1/2b  so 1 month she reads 1/2 a book

Step-by-step explanation:

Answer:

y= -1/2x +9

Step-by-step explanation:

The line equation of best fit is y = (-1/2)x+9 if the two points on the line are (2,8) and (8,5) option (C) is correct.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have two points (2, 8) and (8, 5)

To find the line of best fit using these two points:

\(\rm (y-y_1)=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\)
\(\rm (y-8)=\frac{5-8}{8-2} (x-2)\)

\(\rm (y-8)=-\frac{3}{6} (x-2)\\\\\rm (y-8)=-\frac{1}{2} (x-2)\)

\(\rm y = - \frac{1}{2} x +9\)

Thus, the line equation of best fit is y = (-1/2)x+9 if the two points on the line are (2,8) and (8,5) option (C) is correct.

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To solve that question let's draw a Venn's Diagram:

The left circle represents all students that owned a car, and the right circle represents all students that owned an iPod. The intersection of the two circles represents students that owned both. We know that the intersection has 20 students, then

We also know that there are a total of 40 students that owned cars, 20 of them are in the intersection, which means that they owned both, then, there are 20 students that only owned a car

Now we can repeat the same logic to the iPod, there are a total of 40 students that owned iPods, 20 of them are in the intersection, then only 20 students only owned an iPod,

Then, there are 20 students that only owned an iPod, and 20 students that only owned a car. Then there are 40 students that owned either a car or an iPod.

Answer:

Use the slope formula (y2-y1 over x2-x1) also attached as an image file to my answer for each question. After you solve each number for their slope, input the problem number into the table that corresponds with the slope.

For your information, in the attached image file with the formula, "m" represents the slope in the formula.

The value of x or length of FD int the figure is  75.

image attached below,

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle.

This is similarities in sides questions. To solve make equation.

JY = 42

JS = 42 + 63 = 105

JD = 50

JF = 50 + x

Using the sides,

52/105 = 50/50+x

(42)(50+x) = (50)(105)

2100 + 42x = 5250

42x = 5250 - 2100

42x = 3150

x = 3150/42

x = 75.

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Answer:Variblw

Step-by-step explanation:Easy

Answer:

Step-by-step explanation:

Answer:

f(x) is 5x³ and g(x) is  x+1

Step-by-step explanation:

Given the composite function:

h(x) = f(g(x)) = 5(x + 1)³

The function and be splitted into 5x³ and x+1 where f(x) =  5x³ and g(x) = x+1

Check:

f(g(x)) = f(x+1)

Substitute x with x+1 inn f(x)

f(x+1) = 5(x+1)³

f(g(x)) =  5(x+1)³  (which gives the required function

Hence one possibility of f(x) is 5x³ and g(x) is  x+1

We have that for the Question "Find expressions for g(x) and g′′(x)." it can be said that expressions for g(x) and g′′(x) is

a)     \(g(x) = (-x^2,x<0)\\.\ \ \ \ \ \ \ \ (x^2,x \geq0 )\)

b)    \(g''(x)= (-2,x<0)\\.\ \ \ \ \ \ \ \ \ \ (2,x \geq0 )\)

From the question we are told

Let g be the function that satisfies g(0)=0 and whose derivative satisfies g′(x)=2|x|.

Generally the equation for the g'(x)   is mathematically given as

\(g'(x) = (-2x,x<0)\\.\ \ \ \ \ \ \ \ (2x,x \geq0 )\)

Since

\(g(x=\int{g'(x)})\)

Therefore

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Answer:

\(\Huge \boxed{\£55}\)

________________________________________________________

A 17% reduction means that the dress cost 83% (100 - 17) of the original amount.

\(\large \fbox{\begin{minipage}{8.1 cm}83\% of the original price = \£45.65\\\\$\Rightarrow$1\% of the original price = $\frac{45.65}{83}$\\\\$\Rightarrow$1\% of the original price = 0.55\\\\$\Rightarrow$100\% of the original price = 0.55 \times 100\\\\$\Rightarrow$100\% \text{ of the original price = \£55}\end{minipage}}\)

To work out 83% of the original price, you multiply by 0.83. We can do the inverse, which is dividing by 0.83.

                                 ×0.83

Original Price →→→→→→→→→→→→→ Sale Price

        £?           ←←←←←←←←←←←←←     £45.65

                                ÷0.83

\(\large \boxed{\begin{minipage}{7 cm}Original Price = $\frac{\text{Sale Price}}{0.83}$\\\\$\Rightarrow$Original Price = $\frac{45.65}{0.83}$\\\\$\Rightarrow$Original Price = \£55\end{minipage}}\)

Therefore, the original price of the dress is £55.

________________________________________________________

if a > 0, there are two possible solutions:

\(x^{2} = a\\\sqrt{x^{2} } = \sqrt{a} \\\)

the square root of a square is the base in absolute value bars

\(|x| = \sqrt{a}\)

\(x = -\sqrt{a} ; x = \sqrt{a}\)

if a = 0, that means x = 0. anything multiplied by 0 is 0

if a < 0, there are no solutions because anything squared has to be positive

Answer:

2

Step-by-step explanation:

The work is linked below. 69 lol.

Answer:

a=yB - yA/ xB - xA =9 +5 /6+1 = 14 /7 =2

a(slope) =2

Hope this helps...

It will take Tallulah approximately 141.17 minutes, or about 2 hours and 22 minutes, to completely fill the tank without it overflowing.

The volume of a cylinder can be calculated using the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

By dividing the volume of the tank by the rate of filling, we can find the time it takes to completely fill the tank.

Here we have

A cylindrical tank has a height of 11 feet and a diameter of 14 feet.

Hence, Radius of tank = 14/2 = 7 feet

Tallulah fills the tanks with water at a rate of 12 cubic feet per minute.

Using the volume formula, V = πr²h

V =  π(7²)(11) = 1694 cubic feet

Tallulah fills the tank at a rate of 12 cubic feet per minute.

=> 1694 / 12 = 141.17 minutes

Therefore,

It will take Tallulah approximately 141.17 minutes, or about 2 hours and 22 minutes, to completely fill the tank without it overflowing.

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Answer:

1)-4x+4

2) C

3)E

4)A

Step-by-step explanation:

Hope it helps

Answer:

what?

Step-by-step explanation:

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

Answer:

i think the answer would be 1/6 hope this helps!

Answer:

1/12

Step-by-step explanation:

Probability = # of events / # of possible outcomes.

We want to find the probability of flipping a tails and then rolling a two.

When flipping a coin there are only two possible outcomes, getting a head or a tails.

So the probability of flipping a tails would be 1/2.

When rolling a dice there are 6 possible outcomes.

So the probability of rolling a two is 1/6

We then multiply the two probabilities to get our answer.

\(\frac{1}{2} =\frac{1}{6} =\frac{1*1}{2*6} =\frac{1}{12}\)

The answer is 1/12

Answer:

0 solutions / no solutions

Step-by-step explanation:

If two lines have the same slope but different y-intercepts, it means that they are parallel.

For example, we have two lines:  

y = x

y = x + 1

Both lines have the same slope of 1, but different y - intercepts. Because each equation increases the x and y at the same right (slope) but started at different points, the two equations will never touch.

It's similar to two runner who run at the same pace. If one runner started 50 meters ahead, that runner will always be ahead 50 meters (y-intercept) because they both run at the same rate.

When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.

The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.

Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.

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Answer:

Explanation:

Let x represent the length of the third side of the given triangle.

We can go ahead and determine the value of x using the Pythagorean theorem as seen below;

So the length of the third side of the triangle is 9

We can now determine the value of sine theta as seen below;

We can see that sine theta is 40/41

Let's determine the value of cosine theta as seen below;

So cosine theta is 9/41

Let's determine the value of tangent theta as seen below;

So tangent theta is 40/9

Let's now determine the value of cosecant theta as seen below;

So the value of cosecant theta is 41/40

Let's determine the value of secant theta as seen below;

So the value of secant theta is 41/9

Let's determine the value of cotangent theta as seen below;

So the value of cotangent theta is 9/40

a. The tangent line to curve y = x^3 - 6x^2 + 5x at origin is y = 5x. b. Graph shows curve y = x^3 - 6x^2 + 5x and tangent line y = 5x intersecting at point near (0, 0). c. Estimated coordinates are (6, 180).

a. To find the equation of the tangent line to the curve y = x^3 - 6x^2 + 5x at the origin, we need to find the slope of the tangent line at the origin. Taking the derivative of the curve, we have y' = 3x^2 - 12x + 5. Evaluating this at x = 0, we have y'(0) = 5. Thus, the slope of the tangent line is 5. Using the point-slope form of a line with the given point (0, 0), the equation of the tangent line is y - 0 = 5(x - 0), which simplifies to y = 5x.

b. To graph the curve y = x^3 - 6x^2 + 5x and the tangent line y = 5x together, you can use a graphing calculator or graphing software. By zooming in and using the trace function, you can estimate the coordinates of the point where the tangent line intersects the curve.

c. To confirm the estimates of the coordinates of the second intersection point, you can solve the equations for the curve y = x^3 - 6x^2 + 5x and the tangent line y = 5x simultaneously. Set the equations equal to each other and solve for x: x^3 - 6x^2 + 5x = 5x. Simplify the equation: x^3 - 6x^2 = 0. Factor out an x: x(x^2 - 6x) = 0.

This equation gives us two solutions: x = 0 and x = 6. Substituting these values back into the equation of the curve, we can find the corresponding y-coordinates. Thus, the estimated coordinates of the second intersection point are (0, 0) and (6, 180).

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