The base of a skyscraper is a triangle bordered by three streets: Main Street, Elm Street, and Maple Street. The Elm Street side is 1 ft shorter than twice the Maple Street side. The Maple Street side is 8 ft shorter than half the Main Street side. The Main Street side is 206 ft. The base of a skyscraper is a triangle bordered by three streets: Main Street, Elm Street, and Maple Street. The Elm Street side is 1 ft shorter than twice the Maple Street side. The Maple Street side is 8 ft shorter than half the Main Street side. The Main Street side is 206 ft.
Part 1 out of 2
(a) Find the two unknown side lengths.
Maple Street is
ft.
Elm Street is
ft.

Answers

Answer 1
If The Main Street side is 206ft. and Maple Street side is 8ft. shorter than half of that, that means Maple Street is 95 ft. Consequently if Maple Street is 95ft and Elm Street is 1ft shorter than double Maple Street, Elm Street would be 189ft

Related Questions

the change in the x-coordinates of any two points on a line in the xy-plane is the

Answers

2  (x4 + 3x3 + 9x2 + 27x + 81)2

Answer

D the run. AP3X

Order the fractions from least to greatest 5/8, 3/4, 1/2, 9/16

Answers

9/16, 5/8, 3/4, 1/2 that's the answer
Okay all we have to do is get them to have the same denominator, which in this case we will use first. Then we will order them: 

5/8 = 2.5/4
3/4 (Already has 4 as its denominator.)
1/2 = 2/4
9/16= 2.25/4
Sooo, the order is clear: 1/2, 9/16,5/8,3/4. 

Hope this helps and have a great day.

A School raised $13,809 during it's fall fundraiser and $20,786 during it's winter fundraiser. The total fundraising goal for the school year is $50,000. How much more money does the school need to raise during the spring fundraiser to reach its goal?

Show your work...

Answers

We should first start off by using the information given and using it to create an equation. To set up our equation, we will add up what the school has already collected, plus a variable to represent what the school still needs to collect in order to reach the goal. We also must set this sum equal to what the school's goal is before we start solving. So, with this problem, we can write our equation as 13,809 + 20,786 + x = 50,000. Then, we can add 13,809 to 20,786 and get 34595. Now, we bring down the +x=50,000 to make our equation 34,595+x=50,000. Now, we will subtract 34,595 from both sides, canceling 34,595 out on the variable side. This will leave us with x= $15,405, which is the amount of money the school still needs to raise in order to reach it's goal.

The extra fundraiser school should get is $15405.

What is a fundraiser?

A fundraiser is an event which is intended to raise money for a particular purpose, for example, for a charity.

Given that, A School raised $13,809 during its fall fundraiser and $20,786 during its winter fundraiser. The total fundraising goal for the school year is $50,000.

The yet total fundraised = fall fundraiser + winter fundraiser

= $13,809 + $20,786

= $34595

Since, they need $50000 in total,

Therefore, remaining amount  = total - collected

= $50000 - $34595

= $15405.

Hence, the extra fundraiser school should get is $15405.

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​−8x+4y=24
​−7x+7y=28
​​ What is the solution?

Answers

​−8x + 4y = 24 -- (1)
​−7x + 7y = 28 -- (2)

Eqn (1) & (2) are simplified as

y - 2x = 6 -- (3)
y - x = 4 -- (4)

By making y the subject of formula in (4), we have

y = x + 4 -- (5)

Substitute x + 4 for y in (3), then

x + 4 - 2x = 6
x - 2x = 6 - 4
- x = 2
x = - 2.

Substitute - 2 for x in (5), then

y = - 2 + 4
y = 2.

Therefore, (x, y) = (- 2, 2) ...Ans.

what is the volume of a tank that can hold 18 754 Kg of methanol whose density is 0.788g/cm3

Answers

Density = Mass / Volume
(0.788) = (18.754) / V
0.788V = 18.754
V = (18.754) / (0.788)
V = 23.799

The volume of a tank is 23.8m3

that can hold 18 754 Kg of methanol whose density is 0.788g/cm3

Using this formula

Volume=m/p

Let plug in the formula

Volume=18,754 kg/0.788g/cm3

Volume=18,754,000g/0.788g/cm3

Volume=23,799,4924cm2

Volume=23.8m3 (Approximately)

Inconclusion The volume of a tank is 23.8m3.

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the back of a moving truck is 4 feet above the ground. A ramp extending from the back of the truck meets the ground 10 feet from the truck. What is the slope of the ramp?

Answers

The answer would be slope= rise/run=4/10=2/5.

Hope this helps!
Can u plz mark me as brainliest? I really need it!

Answer:

20 feet

Step-by-step explanation:

What is the value of x? Enter your answer in the box

Answers

using Pythagorean Theorem

x^2 +b^2 = c^2

x^2 +12^2 = 13^2

x^2 +144 = 169

x^2 = 25

x = sqrt(25) = 5

x = 5


solve 3x=12? 5,36,4,or 3

Answers

4
hope this helped! ☺
You will divide 3 from both sides of the equation. This will cancel out the 3 leaving you with x on the left side, and 12/3 on the right side which is 4. This is just the division property of equality. Hope this helps!

write 91.4 million in both standard form and in scientific notation

Answers

91.4 million in standard form is 91400,000.

To express 91.4 million in standard form,

We simply write the number as it is: 91,400,000.

In this form, each place value is clearly represented by its corresponding digit.

In scientific notation, we express the number as a product of a decimal number between 1 and 10, multiplied by a power of 10. For 91.4 million,

It can be written as 9.14 x 10⁷.

In this notation, the decimal point is placed after the first digit, and the power of 10 represents the number of places the decimal point should be moved to the right to obtain the original value.

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Gerard bought 9 hamburgers and 3 orders of fries for 24.75. Chris bought 6 hamburgers and 4 orders of fries for 19.50. Each hamburger cost the same amount. Each Order of fries cost the same amount. Wrote a system of equations that can be used to find how much one hamburger and one Order of fries cost.

Answers

9h + 3f = 24.75....multiply by 4
6h + 4f = 19.50 ...multiply by -3
----------------------
36h + 12f = 99 (result of multiplying by 4)
-18h - 12f = - 58.50 (result of multiplying by -3)
--------------------add
18h = 40.50
h = 40.50/18
h = 2.25  <== hamburgers cost 2.25 each

6h + 4f = 19.50
6(2.25) + 4f = 19.50
13.50 + 4f = 19.50
4f = 19.50 - 13.50
4f = 6
f = 6/4
f = 1.50 <== fries cost 1.50 per order

Answer:

System of equations:

9x+3y=24.75

6x+4y=19.50

x: cost of a hamburger

y: cost of an order of fries

Step-by-step explanation:

We define the variables of the system of equations:

x: cost of a hamburger

y: cost of an order of fries

We propose the system of equations:

To Gerard:  9x+3y=24.75

To Chris:      6x+4y=19.50

where, the coefficients in the equations represent the quantity that was purchased from each product and the variables represent the costs of each product.

An architect designs a rectangular flower garden such that the width is exactly​ two-thirds of the length. If 210 feet of antique picket fencing are to be used to enclose the​ garden, find the dimensions of the garden.

Answers

Start by defining your variables.  Let the length be L and the width W. Note that W = 2L/3.

Use the Perimeter formula:  P = 2W + 2L.  Substituting,

P = 2[2L/3] + 2L, or P = 4L/3 + 2L, or   P = 4L/3 + 6L/3 = 10L/3 = 210 feet

Then 10L = 630 feet, and L = 63 feet.  Thus, W = 2L/3 = 2(63 feet)/3 = 42 feet.
Final answer:

The length of the garden is 63 feet and the width is 42 feet.

Explanation:

Let's assume that the length of the garden is x feet. According to the problem, the width is two-thirds of the length, so the width is (2/3)x feet.

The perimeter of a rectangle is given by the formula P = 2(l+w), where P is the perimeter, l is the length, and w is the width. In this case, the perimeter is 210 feet, so we have the equation 210 = 2(x + (2/3)x).

Simplifying the equation, we get 210 = 2(5/3)x. By dividing both sides by 2, we find that (5/3)x = 105. Finally, solving for x, we get x = 105 * (3/5) = 63 feet. Therefore, the length of the garden is 63 feet, and the width is (2/3) * 63 = 42 feet.

Find the partial derivatives of the function w=4r2+6s2+

Answers

I'm taking the liberty of editing your function as follows:  w=4r^2+6s^2, where I use " ^ " to indicate exponentiation.

The partial of w with respect to r is 8r.  That with respect to s is 12s.

Two well-known aviation training schools are being compared using random samples of their graduates. it is found that 70 of 140 graduates of fly-more academy passed their faa exams on the first try, compared with 104 of 260 graduates of blue yonder institute. in a two-tailed test, the p-value is .0275, so at = .025 we should:

Answers

In a two-tailed test, the p-value is 0.0275, so this means that at a value of  0.025 we should reject the hypothesis of equal proportion. This is because as p = 0.0275 and we follow the rule P-value < p

Final answer:

With a p-value of .0275 being greater than the significance level of .025, the decision in a two-tailed test would be to not reject the null hypothesis, indicating insufficient evidence to show a significant difference between the two schools' FAA exam pass rates.

Explanation:

The student is given information about the performance of the graduates from two aviation training schools regarding FAA exam pass rates on the first try. The pass rates are compared using a statistical hypothesis test, and the p-value from this test is .0275. When the level of significance (α) is set at .025, and we are conducting a two-tailed test, we should make a decision about whether to reject or not reject the null hypothesis.

Since the p-value (.0275) is greater than the level of significance (α = .025), the correct decision would be not to reject the null hypothesis. It means that there's not enough statistical evidence to show a significant difference between the FAA exam pass rates of the two schools at the .025 level of significance. This matches the general hypothesis testing rule: if the p-value is less than α, reject the null hypothesis; otherwise, do not reject it.

What is the constant of proportionality for the ratios 2 to 3 and 4 to 6?

Answers

2 times 2 = 4 3 times 2 = 6 
hope that helps 
good luck 

Answer:2/3

Step-by-step explanation:

A doctor's office has a computer file showing the heights of 100 male patients of one of the doctors of the practice. the heights range from 18 inches to 68 inches. by accident, the greatest height has been recorded as 680 inches, instead of 68 inches. (a) does this affect the average? if so, by how much? (b) does this affect the median? if so by how much?

Answers

A) Yes. we don't have enough information so this can not be determined.
B) No, it would just be an outlier.

The effect of the mistake is:

The mean value obtained is larger. The median value is not affected.

The average value recorded is larger than it actually is. Hence , the average value is affected by the mistake. Given the information supplied, we can only deduce that the mean value will be greater than the actual average.

The mean involves taking the sum of all the values and dividing it by the number of values.

Using a value of 680 instead of 68 will mean that, the sum obtained is greater than the actual sum.

The median on the other hand isn't affected by this error, because, the arrangement of the values isn't changed.

The sorting of values is very crucial to calculating the Median. However, either 68 or 680. The position of the maximum value remains unchanged.

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If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 36 inches, what diameter pizza will reward you with the largest slice? in

Answers

Final answer:

We start by expressing the circumference and the size of the slice in terms of the pizza's radius. By setting the pizza slice to be the largest (having an angle of 2π at the centre), we find the radius and hence the diameter of the pizza.

Explanation:

The question falls into the area of Circle Geometry. Let's say the radius of the pizza is r inches, the length of the crust is a, and the length of the two straight edges of the pizza slice (each of which is a radius of the circle) are both r.

According to the problem, the perimeter of the pizza slice is given as 36 inches. This sums up the two radii and the length of the crust (a). Therefore, 2r + a = 36.

We know that the crust's length is a fraction of the total circumference of the circle. The whole circle's perimeter is 2πr.

Assuming the angle at the center of the pizza slice is θ (in radians), we have a = θr. θ will be a fraction of 2π depending on the size of the slice.

Substituting θr for a in the equation 2r + a = 36, we get 2r + θr = 36. To get the largest slice, θ has to be as large as possible, 2π.

Replace θ with 2π, we have 2r + 2πr = 36. Solve for r and we find that r = 36/(2+2π). That gives the radius of the pizza. Multiply r by 2 will give us the diameter of the pizza.

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Jana Has $5. She wants to buy a notebook for $4.50.The sales tax is 7%. Does she have enough money? Explain your reasoning.

Answers

Okay. So she wants to buy a notebook with 7% sales tax. To find the total price, do 4.50 * 107% (1.07). Doing that includes the price + sales tax. When you do that, you get 4.815 or 4.82 when rounded to the nearest hundredth. Jana has enough money to buy the notebook she wants with a $5 bill. She will have 18 cents leftover after the purchase.

Which of the following represents the vertical asymptotes of the function

Answers

The answer would be D, x = -2, and x = 4

Let me know if you need help.
The expression in the denominator is [tex]\displaystyle{ x^2-2x-8[/tex].

We can use this expression by completing the square, and the difference of squares as follows:

[tex]\displaystyle{ x^2-2x-8=(x^2-2x+1)-9=(x-1)^2-3^2[/tex]

[tex]=(x-1-3)(x-1+3)=(x-4)(x+2)[/tex].

So, the zeros of the polynomial [tex]\displaystyle{ P(x)=x^2-2x-8[/tex] are x=4 and x=-2.


Thus, the asymptotes are the lines x=-2, and x=4.


Answer: D

Jack wants to buy a skateboard that usually sells for $79.40. All merchandise is discounted by 12%. What is the total cost of the skateboard if Jack has to pay a state sales tax of 6.75%. Round your intermediate calculations and answer to the nearest cent.

Answers

Add 79.40+6.75%=84.7595 and then subtract by 12%. 84.7595-12%=74.58836 then round to the nearest  cent.

Spring stretches by 21.0 cm when a 135 n object is attached. what is the weight of a fish that would stretch the spring by 62.1

Answers

Caution:  you need to use the same units of measurement throughout.  If the spring stretches by 21 cm when a 135 newton object is attached, then you must ask for the mass (in newtons) of a fish that would stretch the spring by 62.1 cm.

We will need to assume that the spring is not stretched at all if and when no object is attached to the spring.

Write the ratio

                21.0 cm        135 newtons
               ------------- = --------------------
                 62.1 cm               x

Solve this for x.  This x value represents the mass of a fish that would stretch the spring by 62.1 cm.  You can cancel "cm" in the equation above:

21.0      135 newtons
------ = --------------------
62.1               x

Then 21.0x = (62.1)(135 newtons).  Divide both sides of this equation by 21.0 to solve it for x.

Answer:

399.21 newtons or 40.73 kg

Step-by-step explanation:

In order to solve this you first have to do a rule of threes to calculate how much would the fish will weight compared with the stretching of the spring:

[tex]\frac{21}{162} =\frac{62.1}{weight} \\weight=\frac{62.1*162}{21}=399.21 Newtons[/tex]

So the weight would be 399.21 newtons and it would have 40.73 kilograms in mass.

The Museum of Science in Boston has an exhibit in which metal balls drop down a chute, bounce around, and wind up in one of 21 bins. After 1000 balls have dropped, the heights within the bins clearly follow a bell-shaped curve. The standard deviation is 3 bins.

About how many balls are in bins 1 through 17?

Answers

Using the Empirical Rule, we can estimate that about 95% of the balls (950 balls) will fall within the first 17 bins of the bell-shaped distribution, with a standard deviation of 3 bins.

To determine how many balls are in bins 1 through 17 at the Museum of Science in Boston, we can apply the Empirical Rule to the bell-shaped distribution of balls in bins.

Since we have a standard deviation of 3 bins, and a bell-shaped curve approximates a normal distribution, about 95% of the data (balls) will be within two standard deviations of the mean.

Assuming approximately equal distribution across the bins and a large number of trials, bins 1 through 17 would contain slightly less than 95% of the balls, as they represent less than two standard deviations from the mean.

Here is a rough estimate:

Total balls: 1000

Two standard deviations: 95% of 1000 balls = 950 balls

Bins 1 through 17 contain slightly less than 950 balls.

Without the exact mean, we cannot provide a precise number, but we can conclude that about 950 balls will be distributed in bins 1 through 17, give or take, based on the data provided and properties of the normal distribution.

what are partial products of 374 times 510

Answers

374 * 510= 190,740

Hope the helps you and everyone out!!!

In the fiscal year of 1991-1992, a total of 109,782 child labor permits were issued, 2/3 of which were males. The monthly average for males is?

Answers

So in one year, there were a total of 109,782. Divide that by 12 to find the average montly
109,782/12 = 9148.5 
Find 2/3 of that = 6099 

The answer is 6099

If this is confusing please ask for more help! :)

Final answer:

The monthly average for males who received child labor permits in the fiscal year of 1991-1992 is approximately 6,099, calculated by multiplying the total permits (109,782) by 2/3 and then dividing by 12 months.

Explanation:

To calculate the monthly average for males who received child labor permits in the fiscal year of 1991-1992, we first determine the total number of permits issued to males. Since 2/3 of the total permits were issued to males, we multiply the total number of permits, 109,782, by 2/3:

Total permits for males = 109,782 * (2/3) = 73,188

There are 12 months in a fiscal year, so to find the monthly average, we divide the total permits for males by 12:

Monthly average for males = 73,188 / 12 ≈ 6,099

Therefore, the monthly average number of child labor permits issued to males was approximately 6,099.

Fred lives in Syler City, where the tax rate is 3.5%. His property is assessed at $93,000. What is his tax?

Answers

93000 * .035 = 3255

Fred's tax is $3255.
93000 x 3.5%
93000 x 0.035 = 3255

Fred's property tax is 3255

Multiply the property assess with the tax rate to get his tax
(make sure to change the percentage to decimal by moving the decimal place two places to the left)

hope this helps

In the marching band at Hometown High, there are 77 woodwinds and 88 brass. If there is an equal number of woodwind and brass musicians in each row, what is the greatest number of rows in a performance? A) 9 rows B) 11 rows C) 13 rows D) 15 rows

Answers

The answer is B)11 rows. If there are an equal amount of woodwind and brass musicians in each row then there would be 7 woodwinds in every single row and 8 brass musicians in every row equaling 15 musicians for 11 rows making every row the exact same as the one before.

After entering the test scores from her statistics class of 25 ​students, the instructor calculated the mean and the median of the scores. upon​ checking, she discovered that the toptop score entered was 73, but it should have been 83. when she corrects this​ score, how will the mean and median be​ affected?

Answers

it will be a affected because it will mess thinks up

choices are (mode, mean, median)
A sample was selected and the eye color of every person in the sample was recorded.

{Brown,Brown,Green,Blue,Brown,Green,Hazel,Brown,Green,Hazel}

The ___________ should be used.

A Girl Scout troop sold cookies. The number of boxes each scout sold is listed below.
{35,45,47,27,50,43,25,52,37,312}

The ___________ should be used.

A pizza parlor sold the follow number of pizzas each day from January 27-28.
{30,28,23,25,35,27,29}

The __________ should be used.

Answers

The first one is mode.  The second one is mean. And lastly, the third one is median.
The first one is mode.
The second one is median.
The third is mean.

If a truck traveled 75.648 miles per year how many miles did it travel monthly

Answers

The answer is 6.304 :D

Joe completed 28 math problem from his homework. Joe has done 80% of his homework. How many more math problem does Joe have to complete

Answers

0% = 0.8

 divide 28 by 0.8

28 / 0.8 = 35 total questions

35 -28 = 7 more questions to do

What's the circumference of a circle with a diameter of 30 cm

Answers

C=πd
C=π*30
C=30π≈94.25 cm
about 94.25. the formula is C=2(pi)r or C=(pi)D
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