Mathematics College

A rectangular table is six times as long as it is wide. If the area is 294 ftsquared​, find the length and the width of the table.

Answers

Answer 1
42 length   7 width
please respond back if it was correct
Answer 2

the width of a rectangular table is 7 feet and the length of a rectangular table is 42 feet.

The area of a rectangular table is 294 ft².

What is the area of a rectangle?

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Let the width of a rectangular table be x.

Then, six times as long as it is wide = 6x

Area of a rectangular table = 6x × x

⇒ 6x²=294

⇒ x²=49

⇒ x=7 feet

So, length=6x=42 feet

Therefore, the width of a rectangular table is 7 feet and the length of a rectangular table is 42 feet.

To learn more about the area of a rectangle visit:

brainly.com/question/20693059.

#SPJ2

Related Questions

Line a and line b are parallel. Which is a true statement about the lines? A. the lines contain the same points B. the lines have the same y-intercept C. the lines have the same graph D. the lines have the same slope

Answers

D. They have the same slope

The area of a rectangle is 53.3 in2. If the width is 6.5 in, what is the perimeter of the rectangle?

Answers

You can find the length from
  A = LW
  53.3 in² = L×(6.5 in)
  (53.3 in²)/(6.5 in) = L = 8.2 in

The perimeter is twice the sum of length and width.
  P = 2(L +W)
  P = 2(8.2 in +6.5 in) = 29.4 in

The perimeter of the rectangle is 29.4 inches.
Area of a rectangle formula
l × w 
6.5 is our width you already know but 53.3 isn't the length so really
you are trying to solve for l, so l × 6.5 = 53.3
when you get that answer you should get 8.2

Now .. you already have the width and the length so you hook in 6.5(w) + 6.5(w)+ 8.2 (l)+ 8.2(l) 
6.5 + 6.5 gives you 13 and 
8.2 + 8.2 gives you 16.4
Adding both up you get the final answer/ perimeter 29.4 inches

What is the value of x? sin49°=cosx Enter your answer in the box.

Answers

we know that
if sin A=cos B
then 
angle A and angle B are complementary angles
A+B=90°

in this problem
sin49°=cosx
so
49°+x=90-------> x=90-49--------> x=41°

the answer is
x=41°

Answer:

[tex]x=41^o[/tex]

Step-by-step explanation:

We have been given an equation [tex]sin(49^o)=cos(x)[/tex] and we are asked to find the value of x.

Since we know that trigonometric ratios are applied to right triangles and we also know that [tex]sin(a)=cos(b)[/tex], where a and b are the angles other than 90 degree angle.

As one angle of our triangle is given 49 degrees, so to find the value of angle x we need to subtract 49 degrees from 90 degree angle as 49 degree angle and x will be equal to 90 degrees.

[tex]x=90^o-49^o[/tex]

[tex]x=41^o[/tex]

Therefore, the value of x is 41 degrees.

Solve the equation. Show your work. 45 = 3 b + 69

Answers

45 = 3b + 69
Subtract 69 from both sides.

-24 = 3b
Divide both sides by 3.

-8 = b
b = -8
So, first we get the variable on one side: 3b = -24 Divide: b = -8

eliminate the parameter,t, in the parametric equation, x=6cos t, and y =3 sin t

Answers

To eliminate the parameter t in the parametric equations x = 6 cos t and y = 3 sin t, we can use the trigonometric identity

cos⁡²t + sin⁡²t = 1cos²t + sin²t = 1.

Starting with x=6 cos t, we can rewrite it as cos t=x6​ and from y=3 sin t, we can rewrite it as sin t = (y/3)​.

Now, we square both equations:

(cos t)² = (x/6​)²

(sin t)² = (y/3​)²

As soon as we multiply both sides by 36, we arrive at:

x² + 4y² = 36

Therefore, the equation x² + 4y² = 36 is the Cartesian equation that eliminates the parameter t from the given parametric equations.

To eliminate the parameter t in the parametric equations x=6 cos t and y=3 sin t, we use trigonometric identities.

From x=6 cost, we get cos t = x//6​, and from y = 3 sin t, we get sin t = (y/3).

Squaring both equations and using the identity cos2t+sin2t=1 we obtain (x/6​)² + (y/3​)² = 1. Simplifying, we get (x²/36) + (y²/9) = 1 which, after multiplying by 36, becomes x² + 4y² = 36. Thus x² + 4y² = 36 is the Cartesian equation eliminating the parameter t.

Complete Question:

Eliminate the parameter, t, in the parametric equation, x=6 cos t, and y =3 sin t.

The measure of forecast error when the average absolute error of each forecast is shown as a percentage of demand is

Answers

The answer is:  "mean absolute percentage error {"MAPE"} .
_________________________________________________________

Line m has a slope of -1 over 5. What is the slope of a line that is perpendicular to line m?

Answers

If slopeof a line = -1/5, then the line perpendicular to that line has the opposite inverse slope. 

The line perpendicular to a line with slope = -1/5 has a slope of 5.

Concerned about graffiti, mayors of nine suburban communities instituted a citizen community watch program. community monthly incidents after monthly incidents before burr oak 2 7 elgin corners 3 2 elm grove 6 2 greenburg 4 3 huntley 5 11 north lyman 3 9 south lyman 3 5 pin oak 5 7 victorville 2 3 click here for the excel data file (a) choose the appropriate hypotheses to see whether the number of graffiti incidents declined. assume μd is the mean difference in graffiti incidents before and after.

Answers

This is a problem on hypothesis testing on the difference of two dependent means. To solve for this one, the difference for each pair should be solved. 

After it, the mean and standard deviation of the differences should also be calculated.  Then, we state the null and alternative hypotheses. 

The null hypothesis is  [tex]H_{0}: \mu_d=0[/tex]
The alternative hypothesis is  [tex]H_a: \mu_d\ \textgreater \ 0[/tex]

These are the required hypotheses to see whether the number of graffiti incidents declined. 
In order to be clear, the data are reported in the picture attached.

The null hypothesis H₀ represents what is believed true if the data don't prove the opposite.
The alternative hypothesis H₁ is the conclusion we want to deduce from the test.

If we call d the difference in graffiti before (B) and after (A) (pay attention to the order) d = B - A.
We want to prove that the incidents are declined, therefore B should be greater than A and d would be positive.

Therefore:
H₀ : μd ≤ 0
H₁ : μd > 0 

The Fermi process gives you an exact answer. You will be exactly right every time you figure it this way.

True
or
False

Answers

Answer: False

The Fermi Process is a fast way to calculate an estimate (usually done with mental math or math you can do on the back of an envelope or napkin). It's unlikely you'll get the exact answer, though you should be fairly close. To make the math more simple, rounding is done. 

Answer:

The correct answer is False

Step-by-step explanation:

I already took this test. I got it right.

Hope this helps! ;)

Which distance measurement is the most precise?
A). 20.1 yards
B). 7 yards
C). 15.98 yards
D). 19 yards

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

The most precise measurement is,  the one which has most numbers after the decimal.

The number round off to hundred decimal place is more precise than the number round off to tenth decimal place.

There are 4 different numbers in which two numbers are complete number 7 and 19.

20.1 is rounded off to nearest tenth.

15.98 is rounded off to nearest hundred.

So, 15.98 yards is the most precise.   :   Option C

Hope it will help :)

Answer:

15.98 yards

Step-by-step explanation:

Jim is climbing a mountain that has a base 150 feet above sea level. If he climbs 233 feet then descends into a cave 64 feet, how far above sea level is Jim? A. 86feet, B. 169 feet, C. 214 feet, D. 319 feet.

Answers

we know that

1) Jim is climbing a mountain that has a base -----> 150 ft above sea level
2) He climbs 233 ft------------> 150 ft+233 ft----> 383 ft above sea level
3) He descends into a cave 64 ft------> 383 ft-64 ft----> 319 ft above sea level

the answer is
the option 
D. 319 feet.

By accident, 4 burned out bulbs have been mixed in with 20 good ones. ken is replacing old bulbs in his house. if he selects two bulbs at random from the box of 24, what is the probability they both work?

Answers

the probablility that the first one works is 20/24 = 5/6
next, there are 23 left, including 19 good ones. So the probability is 19/23.
Multiply 19/23 and 5/6 to get 95/138, which is out answer.
[tex]\displaystyle |\Omega|=\binom{24}{2}=\dfrac{24!}{2!22!}=\dfrac{23\cdot24}{2}=276\\ |A|=\binom{20}{2}=\dfrac{20!}{2!18!}=\dfrac{19\cdot20}{2}=190\\\\ P(A)=\dfrac{190}{276}=\dfrac{95}{138}\approx69\%[/tex]

5 Stars and Brainliest to correct answer

Answers

At θ = 90°, the equation must evaluate to zero. The only one that does that is the 1st choice ...
  r = 2 - 2sin(θ)

Hey can you please help me posted picture of question

Answers

Comparing F(x) and G(x), we can see that

1) F(x) is narrower than G(x)
This implies G(x) is multiplied by a number greater than 1

2) F(x) is above G(x) by 1 unit
This implies vertical shift of , so a 1 is added to G(x).

Among the given options, only option B fulfills these two criteria. 

So the answer is option B

For 10 days in a row Fiona and Gary timed how long they brushed their teeth
Find the mean of each data set

Answers

(X (Fiona) + Y (Gary))/20 (10 days for each of them so it’s 20)

(x+y)/6

The mean or the average of a number is calculated by adding the frequencies of the given data and then dividing by the total frequency. It is represented by the formula mentioned under -

Mean = [tex] \frac{Sum of all the frequencies}{Number of frequencies} [/tex]

Similarly, here, we need to find the mean of their time spent in brushing.

It will be calculated as -

For Fiona

Mean of time spent in brushing = [tex] \frac{Sum of the total time spent in 10 days}{10 days} [/tex]

Similarly, for Gary

Mean of time spent in brushing = [tex] \frac{Sum of the total time spent in 10 days}{10 days} [/tex]

simplify: -7/3 - (-61/6)

Answers

-7/3-(-61/6) is basically -7/3+61/6. You multiply 7/3 by 2/2 to make the denominator 6. Without having to worry about the denominator, you could do -14+61 which equals 47.

Final Answer: 47/6
[tex] \frac{-7}{3}+ \frac{61}{6}= \frac{-14}{6}+ \frac{61}{6}= \frac{-14+61}{6}= \frac{47}{6}
Answer is=47/6[/tex]

Hope it helped you.

-Charlie

Y=-6x-5 x and y intercept form

Answers

y = -6x - 5

y intercept = -5

Now solve for x.
y = -6x - 5
-6x = y + 5
x = -1/6y - 5/6

x intercept = -5/6
i think you mean standard form y+6x=-5

The graph represents f(x), and g(x) = 7x – 42.

Which statement about these functions is true?

A) The y-intercept of g(x) is less than the y-intercept of f(x).
B) The y-intercept of g(x) is greater than the y-intercept of f(x).
C) The x-intercept of g(x) is less than the x-intercept of f(x).
D) The x-intercept of g(x) is greater than the x-intercept of f(x).

Answers

[tex]g(x)=7x-42\\\\\y-intercept\ of\ g(x):\\\\f(0)=7\cdot0-42=-42\to(0;\ -42)\\\\x-intercept\ of\ g(x):\\\\0=7x-42\ \ \ \ |+42\\7x=42\ \ \ |:7\\x=6\to(6;\ 0)[/tex]

[tex]f(x)=ax+b\\\\y-intercept\ of\ f(x):\ (0;\ -3)\\\\x-intercept\ of\ f(x):\ (6;\ 0)[/tex]

Answer:

A) the y-intercept of g(x) is less than the y-intercept of f(x).


The probability that it will snow on Friday is 70%, and the probability that it will snow on Saturday is 50%.

What is the probability that it will snow on both days? Express your answer as a decimal rounded to the nearest hundredth.

What is the probability that it will not snow on either day? Express your answer as a decimal rounded to the nearest hundredth.

Answers

P(Snow Friday) = 0.7, P(No Snow Friday) = 1-0.7 = 0.3
P(Snow Saturday) = 0.3, P(No snow Saturday) = 1-0.3 = 0.7

Then,
P(Snow Friday) and P(Snow Saturday) = 0.7*0.3 = 0.21

P(No snow Friday) and P(No snow Saturday) = 0.3*0.7 = 0.21


Scientists discovered a large star 400,000 light years from Earth.A light-year is about 5,880,000,000,000 miles.What is the distance of the large star from Earth in scientific notation?

Answers

So if you want to find the distance, you would take 400,000x5,880,000,000,000=
2.35200000E+18. So your answer would be 2.35200000E+18 in scientific notation it would be 2.35200000x10^18. I hope this helps!

hey can you please help me posted picture of question

Answers

The answer is C. hope this helps.

G(x) is obtained by adding 5 units to F(x).

Addition of a number to the function results in vertical translation in upward direction. So here, adding 5 to F(x) will result in 5 units upward translation of F(x).

So, G(x) is the graph of F(x) shifted 5 units up.

So the correct answer is option B

Suppose that a large number of samples are taken from a population. Which of the following sample sizes will be most likely to result in the sample proportion distribution having the largest standard deviation?

Answers

If you use a large enough statistical sample size, you can apply the Central Limit Theorem (CLT) to a sample proportion for categorical data to find its sampling distribution. The population proportion, p, is the proportion of individuals in the population who have a certain characteristic of interest (for example, the proportion of all Americans who are registered voters, or the proportion of all teenagers who own cellphones). The sample proportion, denoted

Answer:

Whatever the lowest value answer choice is will be the correct answer.

Step-by-step explanation:

Say your answer choices are

A.  56

B.  42

C.  70

D.  84

The correct answer would be 42

1/7-3(3/7n-2/7) in simplest form

Answers

1/7 -3(3/7n -2/7)
=1/7 -9/7n +6/7
=(n-9+6n) /7n
=(7n-9) /7n
=1-9/7n

1/7-3(3/7n-2/7) in simplest form

[tex]\frac{1}{7} -3(\frac{3}{7}n-\frac{2}{7}) \\\\ Using \;Distributive \;property \\\\ =\frac{1}{7} -(3)\frac{3}{7}n-(-3)\frac{2}{7} \\\\ Multiplication \\\\ =\frac{1}{7} -\frac{3*3}{7}n+\frac{3*2}{7} \\\\ =\frac{1}{7} -\frac{9}{7}n+\frac{6}{7} \\\\ Combining \;terms \;with \;common \;denominator \\\\ =\frac{1-9n+6}{7} \\\\ Combining \;like \;terms \\\\ =\frac{7-9n}{7} \\\\ Simplification \\\\ =\frac{7}{7} -\frac{9n}{7} \\\\ =1 -\frac{9n}{7}[/tex]

Hence, final answer is [tex]\frac{7-9n}{7}[/tex] or [tex]1 -\frac{9n}{7}[/tex].

What is the volume of the cylinder below? Radius of 8 height of 3

Answers

Volume = pi times r^2 times height.
So 3.14x8^2x3
8^2 (8 squared=64)
So the answer is 3.14x64x3 which equals 602.88


ANSWER

The volume of the cylinder is

[tex]V= 602.88 \: square \: units[/tex]

EXPLANATION

The formula for calculating the volume of a cylinder is,

[tex]V = \pi \: {r}^{2} h[/tex]

Where

[tex]r = 8[/tex]
is the radius of the cylinder and

[tex]h = 3[/tex]

is the height of the cylinder.

Also we use the approximate value for π which is
[tex]3.14[/tex]



We substitute the above values into the formula to get


[tex]V = 3.14\times {8}^{2} \times 3[/tex]


[tex]V =3.14\times 64 \times 3[/tex]

[tex]V = 602.88 \: square \: units[/tex]


Hence the volume of the cylinder is 602.88 square units.

please help!!! trying to finish early

Answers

To solve this problem you must apply the proccedure shown below:

 The linear functions have the form y=mx+b

 where m is the slope and b is the y- intercept

 Therefore, you have:

 1) The slope -6/5 and b=(0,8) is:

 y=(6/5)x+8

 2) You have 3x-2y=1. Then, you only have to clear y:

 y=(3/2)x-1/2

Tony is making small bags of bird seed from a larger bag of bird seed that wieghs 11.6 pounds if he puts the same amount in each of 6 bags how much will each bag wiegh?

Answers

For this case we have the following division:
 Weight each bag = Total weight / number of bags
 Substituting values we have:
 Weight each bag = (11.6) / (6)
 Weight each bag = 1.933333333 pounds
 Answer:
 each bag will wiegh about:
 1.933333333 pounds

HELP ASAP! Which figure shows how a shape can be rotated about an axis to form the given object?

Answers

bottom right - took test

Answer:

Option D.

Step-by-step explanation:

To find the answer we will analyse each options.

Option A.

If we rotate a semicircle by a vertical axis then an sphere will be formed. Therefore this option is not correct.

Option B.

In this rotation we will get a hollow sphere, so this option is also not correct.

Option C.

By rotation of a strip we will find the shape similar to the given object but there will not be a hole at the center. Therefore, the option is not correct.

Option D.

When we rotate this strip with a distance from vertical axis, we will find the same shape as given in the picture.

Option D is the correct option.

What is the range of the function in interval notation?

Answers

The range is all real numbers.
The range is negative infinity to positive infinity.
In interval notation it is

[tex] (-\infty, \infty) [/tex]

Suppose sarah is trying to design a metal box (a rectangular prism), which will hold 200 cubic centimeters of liquid. the length of the box must be 4 times as large as the width.

Answers

volume = length * width * height = lwh (measured in cubic units)
so 2000 cm^3 = lwh
we know that l = 4w so sub that into the equation
2000 = (4w)*w*h
2000 = 4w^2*h

You didn't include the rest of the question so this is as far as i can go.

the height of triangle is 8 meters less than its base. if the area of the triangle is 212.5 square meters, find the length of its bas and heiight.

Answers

If
b = length of base in meters, then
h = (b-8) m

Area of a triangle, A = (1/2)bh

Therefore,
212.5 = (1/2)(b)(b-8) = (1/2)(b^2-8b)
425 = b^2-8b
b^2 - 8b -425 =0
Solving the resulting quadratic equation;
b = [8+/- Sqrt [8^2 - 4(1)(-425)]]/2(1) = 4+/- 21 = 4+21 = 25 m (ignore negative value as it is not applicable)
Then,
h = b-8 = 25 - 8 = 17 m

Therefore,
Base = 25 m
Height = 17 m

Final answer:

The base of the triangle is 25 meters, and the height is 17 meters. This was calculated using the area formula for a triangle and by solving the resulting quadratic equation by using the quadratic formula.

Explanation:

The area of a triangle is given by the formula 1/2 × base × height. Given that the area is 212.5 square meters and the height is 8 meters less than the base, let's call the base 'b' and the height will then be 'b - 8'. Using the area formula:

Area = 1/2 × base × height

212.5 = 1/2 × b × (b - 8)

Multiplying both sides by 2 to get rid of the 1/2 gives:

425 = b × (b - 8)

Now we have a quadratic equation in the form of:

b² - 8b - 425 = 0

We can solve this equation by factoring or using the quadratic formula. In this case, the equation doesn't factor neatly, so we use the quadratic formula:

b = (-(-8) ± √((-8)² - 4 × 1 × (-425)))/(2 × 1)

b = (8 ± √(64 + 1700))/2

b = (8 ± √(1764))/2

b = (8 ± 42)/2

Since the base cannot be negative, we take the positive root:

b = (8 + 42)/2

b = 25 meters

Therefore, the base of the triangle is 25 meters and the height is b - 8 = 25 - 8 = 17 meters.

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