A triangular pane of glass has a height of 36 inches and an area of 396 square inches. What is the length of the base of the pane?


The length of the base of the pane is blank
inches.

Step-by-step explanation:

well, it changed by 560 miles overall. in a matter of 3 months.

but for the rate of change I have to ask what is the unit of time for that consideration ?

the rate of change is the change of the functional value over an interval divided by the length of the interval.

if 3 months is the unit of time, then the change rate is 560/1 = 560 miles per quarter.

if the unit of time is 1 month, then the change rate is 560/3 miles per month.

if the unit of time is days, then we have 30+31+31 = 92 days in that interval, and the change rate is 560/92 = 140/23 miles per day.

and so on.

Answer:

  (D)  sIn(30°) = 5/x

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between sides and trig functions for a right triangle. Here, the hypotenuse and the side opposite the angle are marked. The relevant relationship is ...

  Sin = Opposite/Hypotenuse

Filling in figure values, we have ...

  sIn(30°) = 5/x

Answer:

Step-by-step explanation:

Given :

f(x) = x − 3

g(x) = x² − x

Note : (f+g)(x) = f(x) + g(x)

then

(f+g)(2) = f(2) + g(2)

           = (2 - 3) + (2² - 2)

           = -1  +  2

           = 1

another method:

(f+g)(x) = f(x) + g(x) =  x − 3 + x² − x = x² - 3

then

(f+g)(2) = 2² - 3 = 4 - 3 = 1

Answer:

To estimate the square root of a number, you're going to use:

Get as close as possible to the number you're trying to square root by finding two perfect square roots that give a close number.

Answer:

x=2

Step-by-step explanation:

6x - 3 - 2x = 5

Combine like terms

4x -3 = 5

Add 3 to each side

4x-3+3 = 5+3

4x = 8

Divide each side by 4

4x/4 = 8/4

x = 2

Answer:

1220

Step-by-step explanation:
This can easily be done as follows,
Take the first term of the series, (a = -10)
Take the last term of the series, (l = 50)
The numbers of terms is n = 50+10+1 = 61
Now,
For sum,
S= n/2 (a+l) =60/2 (50+-10) = 61/2 (50-10) = 61/2*40 = 1220

The probability that the Geometry textbook will be first from the left and the Chemistry textbook will be second from the left is 1/30

The distribution of the books is:

Spanish, English, Chemistry, Geometry, History, and Psychology

The probability of choosing a Geometry book is:

P(G) = 1/6

Now, there are 5 books left.

The probability of choosing a Chemistry book is:

P(C) = 1/5

The required probability is:

P = 1/6 * 1/5

Evaluate

P = 1/30

Hence, the probability is 1/30

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Answer:

3/8  = 12/32 is a proportion

Step-by-step explanation:

2:3 and 9:4 is not a proportion, 10/12 and 20/25 is not a proportion, 4/9 and 17/38 is not a proportion

The annual compound growth rate of the Redstone Castle price is 73.10%.

From the information given, the formula to calculate the annual compound growth rate will be:

g = (F/P)^(1/n) - 1

where g = growth rate

f = final value = 19750000

p = initial value = 2200000

n = period = 2020 - 2016 = 4

g = (F/P)^(1/n) - 1

g = (19750000/2200000)^(1/4) - 1

g = 73.10%

Therefore, the growth rate is 73.10%

The price of the house in 1902 will be calculated thus:

PV = F/(1 + g)^n

= 19750000/(1 + 73.10%)^4

= $4811

The year that is considered as the time point 0 in that problem is 1902.

When the average compound growth rate in the question #2 now is compounded daily, the price of the house in 1902 will be $4071. The difference in values will be:

= $4811 - $4071

= $740

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Using the multiples of 5 and 6, it is found that she will be 25 years old next year.

They are given as follows, considering numbers less than 40:

This year, her age is a multiple of 6. Next year, her age will be a multiple of 5, hence, her age next year is a multiple of 5, whose predecessor is a multiple of 6, hence the only option is that she will be 25 years old next year.

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Answer:

See below ~

Step-by-step explanation:

Part A

Part B

Answer:

Area = 210

Step-by-step explanation:

Given:

To find:

Steps:

A = b · h

= 15 · 14

= 210

Answer:

210 yd²

Step-by-step explanation:

Area of a parallelogram :

Solving using the given values :

Answer:

1.64+0.94v

Step-by-step explanation:

0.2(8.2+4.7v)

0.2(8.2)+0.2(4.7v)

1.64+0.94v

I'm not very confident with this answer but I hope this helps

Answer:

99 m to nearest metre.

Step-by-step explanation:

Hypotenuse = 135,  opposite side = ?

- so we need the sine function

sin 47 = x / 135 were x is the height of the kite.

x = 135 * sin 47

= 98.73 m

Answer:

26^3 ft is what i got.

5ft x 5ft x 2ft = 50ft

3ft x 4ft x 2ft = 24ft

50ft - 24ft = 26ft

Answer:

36 ft³

Step-by-step explanation:

Formula of a rectangular prism :

Volume = Length x Width x Height

Volume of the bin :

Answer:

90 degrees cuz the lil square thang

Answer:

x = 48°

Step-by-step explanation:

The sum of angles on a line is 180°.

The angles 42°, 90°, and x° lie on the same line.

Answer:

2nd row

Step-by-step explanation:

The y-intercept corresponds to the ordered pair having an x-value of 0. The second row of the table has an x-value of 0, and y-value of 2. Therefore, the y-intercept is (0, 2).

Don’s Clothing advertised a clothing sale and Following the markdowns, prices will be marked 4/5, or 80% off on : The Fourth Day

Meaning of advert and sale

An advert is a form of publicity or awareness done to increase sale or increase the purchase of goods from a company or organization. it makes the public aware of an offer made by an organization or company.

Sale is the exchange of goods or services for money. it is between the company or organization and the consumer.

In Conclusion, Don’s Clothing advertised a clothing sale and Following the markdowns, prices will be marked 4/5, or 80% off on The Fourth Day

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The cylinder holds 3 times more water than the cone

volume of the cylinder is (pi) (r^2) (height), volume of the cone is (1/3)(pi)(r^2)(height)

Cone is 1/3 of cylinder volume so cylinder holds 3 times the amount

Cylinder holds 942 cu units, cone holds 314,

Answer cylinder holds 628 cu units more than cone

cyl= 3.14 x 5^2 x 12=942

Cone= 1/3 x 3.14 x 5^2 x 12 = 314

Answer:

They are consistent and independent

Step-by-step explanation:

Consistency

If two lines have an intersection point, they are said to be consistent. For example, two parallel lines do not have an intersection and therefore they are inconsistent.

In the problem, the two lines intersect at (1, -2) so they have a unique solution and therefore consistent.

Dependency

Two lines are said to be independent if one of them cannot be written as an integer multiple of the other. Or, in other words, if the slope-intercept form of both equations have different slope and y intercept

Note: slope-intercept form of an equation is y = mx + c where m is the slope and c the y intercept

Line 1: 5x - y = 7 can be written as y = 5x - 7 which has slope +5 and y intercept -7

Line2 : 5x + 6y = -7 can be re-written as y = (-5/6)x - (7/6). This has slope -5/6 and y intercept -7/6

Since slope and intercepts of both lines are different they form a system of independent equations

Answer:

Given:

As the exponent of Sample A is negative, this means that the mass of Sample A is smaller than that of Sample B.

Therefore, to find the proportional relationship between the samples, divide the mass of the larger sample (B) by the mass of the smaller sample (A):

[tex]\begin{aligned}\implies \dfrac{\textsf{Sample B}}{\textsf{Sample A}}=\dfrac{3.6 \times 10^2}{2.4 \times 10^{-2}} & =\dfrac{3.6}{2.4} \times \dfrac{10^2}{10^{-2}}\\\\ & =1.5 \times 10^{(2-(-2))}\\\\& = 1.5 \times 10^4 \end{aligned}[/tex]

To convert the scientific notation [tex]1.5 \times 10^4[/tex] to a decimal, move the decimal point to the right 4 places:

[tex]\implies 1.5000 \times 10^4=15000[/tex]

(If the exponent is positive, move the decimal point to the right.  If the exponent is negative, move the decimal point to the left. The number of places to move the decimal point is the numerical value of the exponent).

Therefore, the mass of sample B is 15,000 times the mass of sample A, so Narissa is correct.

Answer:

Step-by-step explanation:

We can see that

The angle formed by intersecting chords measures the half the sum of intercepted arcs.

The multiplication problem represented by this grid is 0.7 x 0.4 = 0.28

Sure hope this helps you

The odds ratio for birds having long beaks being able to fly against birds not having long beaks being able to fly is 3.76.

An odds ratio is a measure of the strength of an association with the exposure and outcome.

The odds ratio can be calculated by dividing the odds of the first group (exposure) by the odds of the second group (outcome).

Contingency Table

                              Flies      Does not fly     Total

Long beak               11               7                     19

Not a long beak      3              13                     15

Total                       14             20                    34

Probability of long beaks flying = 0.79 (1/14)

Probability of not having long beaks flying = 0.21 (3/14)

Odds ratio = 3.76 (0.79/0.21)

Thus, the odds ratio for birds having long beaks being able to fly against birds not having long beaks being able to fly is 3.76, showing greater odds of association.

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Answer:

Step-by-step explanation:

6.81

Answer:

Step-by-step explanation:

The domain are all the x values

(-7,-3), (-4,1), (1,-4), (6,3)

x here is from -7 to 6

domain ∈ [-7, 6]

The range are all the y values

(1,-4), (-7,-3), (-4,1), (6,3)

y here is from -4 to 3

range ∈ [-4, 3]

[tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex]

[tex] \huge\frac{6}{7} [/tex]

step by step Explanation :

= 3 × [tex] \huge\frac{2}{7} [/tex]

= [tex] \huge\frac{6}{7} [/tex]

hope it helps you

Answer:

6/7

Step-by-step explanation:

You multiply 3 by the numerator of the fraction

3 multiplied by 2 is 6

Your answer is 6/7

Answer:

  0.16 liters of water

Step-by-step explanation:

Samantha's recipe makes 0.06 liters of solution. She wants 0.48 liters of solution, an amount 0.48/0.06 = 8 times as great as made by one recipe.

The recipe calls for 0.02 liters of water. To make 8 times the amount of solution, Samantha will use 8 times as much water: 0.16 liters.

Samantha will use 0.16 liters of water to make 0.48 liters of solution.

__

Alternate solution

The fraction of solution that is water is (0.02 L)/(0.06 L) = 1/3. For 0.48 L of solution, the water needed is 1/3×0.48 L = 0.16 liters.

Answer:

0.16L

Step-by-step explanation:

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

    16+y=24, What is y?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

When solving an equation, we need to make sure that all variables are on one side and all numbers are on the other side.

Since we have numbers on both sides, we need to move all of them to one side:-

[tex]\tt{16+y=24}[/tex]

[tex]\tt{y=24-16}[/tex]

[tex]\tt{y=8}[/tex]

[tex]\rule{300}{1}[/tex]

Answer:

125 mph

Step-by-step explanation:

The river is going 25 mph every 20 minutes

Therefore we can paddle 125 miles at consistent rate.