There is a blueprint for a house that is a scale drawing for the entire house. One part of the house has a triangular base. The drawing of the width of the triangle is 4cm and the length is 6cm. If the width of the actual triangular structure is 18cm, what is the length and the area of the triangular structure?

Answer:

[tex] \displaystyle D) {x}^{5} + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following Integral:

[tex] \displaystyle \int 5 {x}^{4} \, dx [/tex]

well, to get the constant we can consider the following Integration rule:

[tex] \displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx[/tex]

therefore,

[tex] \displaystyle 5\int {x}^{4} \, dx [/tex]

recall exponent integration rule:

[tex] \displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1} [/tex]

so let,

Thus integrate:

[tex] \displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)[/tex]

simplify addition:

[tex] \displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)[/tex]

reduce fraction:

[tex] \displaystyle = {x}^{5} [/tex]

finally we of course have to add the constant of integration:

[tex] \displaystyle \boxed{ {x}^{5} + \rm C}[/tex]

hence,

our answer is D)

Step-by-step explanation:

Above are the explanations

A map is drawn on a scale of 1: 240 000.

(i) Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]

(ii) Area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].

(i) 1 cm: 240000 cm = 1 cm: 2.4km

Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2.4^{2} \mathrm{~km}^{2}$[/tex]

[tex]$=1 \mathrm{cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]

[tex]$1 \mathrm{~cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]

[tex]$3.8 \mathrm{~cm}^{2}: 21.888 \mathrm{~km}^{2}$[/tex]

Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]

[tex]$=21.9 \mathrm{~km}^{2}[/tex]

(ii) 1 cm: 240000 cm = 1 cm: 2400 m

Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2400^{2} \mathrm{~m}^{2}$[/tex]

[tex]$=1 \mathrm{~cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]

[tex]$1cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]

[tex]$0.505 \mathrm{~cm}^{2} ; 2108800 \mathrm{~m}^{2}$[/tex]

The area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].

To learn more about the area on the map

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Answer:

its 7.2

find the distance using the formula

square root ((y2-y1)^2+(x2-x1)^2)

hope that answers your question.

comment for more explanation

Answer:

I don't know if you have any questions or need any further information please contact me at the sun with the sun with the sun with the sun

Answer:

0

Step-by-step explanation:

3x0+2x0-4x0+5x0

0

Answer:

Water (cups): 14, 28, 42, 56, 70

Lemon Juice (cups): 2, 4, 6, 8, 10

Divide the number of cups of water by 7 to find the number of cups of lemon juice.

Answer:

See photo

Step-by-step explanation:

Completing the rule:

With the water, you add 14 each time. They started at 14 and added another 14 to get 28. Then you add 14 to 28 and get 42, and so on.

with the lemon juice, it’s very similar except you’re adding 2 each time. They started at 2 and added another 2 to get 4. Then you add 2 and get 6, and so on.

The final question:

This last blank is asking what number you divide the water by to get the lemon juice. If we use fact families, you can take the 14 (from water) and divide it by 2 (from lemon juice) to find that 7 is you missing number. You’ll then be able to plug 7 in to the following numbers. 28 divided by 4 is 7, 42 divided by 7 is 6, etc.

Answer:

Option A) The Median will change; the mode will stay the same

Step-by-step explanation:

Just did the Test on T4L and got it right :) Hope this helped (Pls mark me as brainliest)

Answer:

Both a and b

Step-by-step explanation:

The distribution has an outlier from 0 to 5 hours. The peak of this distribution is from 40 to 45 hours since this column is the tallest.

Answer:

Attached below

Step-by-step explanation:

Starting value = 0

Gain +25 = 0 + 25 = 25

Loss = 25 +(-25) = 0

Start = 0 and End = 0

This one :

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

If they gained 25 yards they move up 25 on the number line, if they lost 25 yards after that they move back to having 0 yards

the only graph that models this is:

Answer:

I believe the answer to your question is 38.

Step-by-step explanation:

Here is what I did: First, I found the radius, and to do that, I did 12 divided by 2, which gave me 6. then I did 6 divided by 2, to find the radius, of the radius I just found.  which gave me 3, then I did 3 times 12, which gave me 36, so the answer should be 38 :)

Answer:

8

Step-by-step explanation:

Answer:

[tex]\displaystyle \frac{1}{3} h(-8) = 37[/tex]

Step-by-step explanation:

Hi there!

[tex]h(x) = x^2-5x + 7[/tex]

First, find h(-8) by replacing all of [tex]x[/tex] with -8:

[tex]h(-8) = (-8)^2-5(-8) + 7\\h(-8) = 64+40 + 7\\h(-8) = 111[/tex]

Now, find ⅓ h(-8) by multiplying the entire expression by ⅓:

[tex]\displaystyle \frac{1}{3} h(-8) = 111 * \frac{1}{3} \\\\\displaystyle \frac{1}{3} h(-8) = 37[/tex]

I hope this helps!

33 is fifteen less than k

---"Is" can be a key word in this statement, meaning equals

33 = k - 15

k = 48

Hope this helps!

4(x-8) = 4x-4*8

= 4x - 32

Answer:

4(x-8) = 4x-4*8

= 4x - 32

Step-by-step explanation:

Answer:

more than

Step-by-step explanation:

8 liters

We know that 1000 mL = 1 liter

8 liters * 1000ml / 1 liter = 8000 ML

That is more than 800 mL

Answer: 45 units

Step-by-step explanation:

Find the coordinates of R and S

R = -25

S = 20

Then just subtract them to find the distance between them.

20 - (-25) = 45.

Answer:

45

Step-by-step explanation:

First, find out the specific locations of R and S: for R, it is-25, and for S, it is 20 (use the tick marks on the x-axis).

Next, to find out the distance between R and S, be sure to add the absolute value, rather than the actual numbers.

So, ∣R∣ + ∣S∣ = 25 + 20 = 45

Hope this helps and let me know if you have any more questions!

Answer:

Step-by-step explanation:

4 parts: 1/3 + 1/2 + 30min + 60min

1/3 of an hour is = 20 minutes

1/2 of an hour is 30 minutes

20 + 30 + 30 + 60(1h)= 140 minutes = 2 hours and 20 minutes

The total time did the program take to write is  2 hours and 20 minutes.

It is required to find total time.

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given that:

several people working on each of 4 parts.

First part = 1/3 of the total time,

The second part = 1/2 of the remaining time,

The third part =30 minutes,

Fourth part= 60 minutes,

So, the total time in hour.

4 parts:

1/3 of an hour is = 20 minutes

1/2 of an hour is 30 minutes

Total time=1/3 + 1/2 + 30min + 60min

=20 + 30 + 30 + 60(1h)

= 140 minutes

= 2 hours and 20 minutes.

So, the total time did the program take to write is  2 hours and 20 minutes.

Learn more about arithmetic here:

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Shape 1: TRIANGLE

Formula: A = 1/2 x bh

1/2 x (10)(5) = 25

AREA: 25 square yards

Shape 2: RECTANGLE

Formula: A = lw

(12)(10) = 120

AREA: 120 square yards

Sum (ADD)

25 yd^2 + 120 yd^2 = 145 yd^2

The area of the composite figure is 145 yd^2

Step-by-step explanation:

If we count for both numbers up to 36, we start seeing a pattern...

Candy: 6 12 18 24 30 36

Danny: 4 8 12 16 20 24 28 32 36

Every other number in Candy's counting is also counted by Danny. So here's what we'll do:

600/6 = 100

This is how many numbers Candy counted overall.

100/2 = 50

This is how many numbers Danny counted that were also numbers Candy counted.

Answer:

50 of the numbers that candy counted were also counted by Danny.

Answer:

50

Step-by-step explanation:

Answer:

a=8/3

Step-by-step explanation:

(-1/8)a=(5/8)a-2

2=((5/8)+(1/8))a

a=8/3

Step-by-step explanation:

hope this is helpful please

Answer:

The model goes Left 4 times, and Up 2 times.

Answer:

start at the origion of 0,0, then go right 4 units, and up 2 units if i am not mistaken

Step-by-step explanation:

Answer:

n=(1/6) or n=-5/2

Step-by-step explanation:

|6n+7|=8

6n+7=8 or 6n+7=-8

6n=1 or 6n=-15

n=(1/6) or n=-5/2

Answer:

19

Step-by-step explanation:

this question means you have to place the value of -7 were there's x in the function.

f(-7)=-3(-7)-2

=21-2

=19

I hope this helps

Answer:

40%

Step-by-step explanation:

total cupcakes: 14+21 = 35

Percentage with sprinkles = sprinkles / total

                                           = 14/35

                                           =.4

                                          = 40 %

Answer:

40%

Step-by-step explanation:

14 + 21 = 35

14/35 × 100 = 40

Therefore 40% of the cupcakes had sprinkles