the actual length of a in the triangle shown is 10cm. Use the scale drawing of the triangle to find the actual length of side b
A o.18 cm
B 12.5cm
C16cm
D48.5cm​

Answer:

D

Step-by-step explanation:

supplementary means two angles that there sum will be 180. and 30 x 4 = 120 + 20 = 140 and if you add the other angle 40 that's 180.

Answer: YES girl you should be proud

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

body crazy curvy wavy

Answer:

$8040 spent on her car and insurance payments.

Step-by-step explanation:

511 + 159 = 670

670 times 12 = 8040

Answer:

y = 1.6

Step-by-step explanation:

4.8/3=1.6

3*1.6=4.8

Answer:

[tex]y = 1.6[/tex]

Step-by-step explanation:

[tex]3y = 4.8[/tex]

Use inverse operations to solve this problem. Inverse operations is a method of solving a linear (and in some cases quadratic) equation. This method has one do the same operations to both sides such that it cancels out the operations done to the variable, and hence, it leaves one with the solution.

In this case, all one has to do is divide both sides by the coefficient of the varibale (y).

[tex]3y = 4.8[/tex]

÷[tex]3[/tex]

[tex]y = 1.6[/tex]

Answer:

Step-by-step explanation:

(1-0.32)p=357

0.68p=357

p=$525

Answer:

471.24

Step-by-step explanation:

First you want to find 32% of 357, which is 114.24. Then you want to add that onto 357. Hope this helps!

Answer:

$4000

Step-by-step explanation:

1500 × 2 =3000

3000 × ³/4 = 4000

Answer:

Step-by-step explanation:

[tex]7^{2} +x^{2} =24^{2} \\49+x^{2} =576\\x^{2} =418\\x=\sqrt{418}[/tex]

Answer:

3

Step-by-step explanation:

Answer:

3 terms are given

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

As given,

The population of the town increased from 175000 to 262500 in a decade.

⇒ In 10 years , population increased from 175000 to 262500

⇒% increase = [tex]\frac{262500 - 175000}{175000}[/tex]× 100% = [tex]\frac{87500}{175000}[/tex]×100% = 0.5×100% = 50%

Now,

Average % increase = [tex]\frac{percent increase}{Total years}[/tex] = [tex]\frac{50}{10}[/tex]% = 5%

∴ we get

Average percent increase of population per year = 5%

Answer:

4116

Step-by-step explanation:

2014

12000÷10=1200 (10%)

1200x3=3600

12000-3600=8400

2015

8400÷10=840

840x3=2520

8400-2520=5880

2016

5880÷10=588

588x3=1764

5880-1764=4116

Answer:

6 is the answer's answer answer

Answer:

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:79.2 divided by 110 = 0.75. move the decimal two places and you get 75.

Answer:

Area=190.091 cm^2

Step-by-step explanation:

Area = 1/2(Pi x r^2)    one-half because it's a semi-circle

Area=1/2(3.14 x 11^2)

11^2=121 so, Area=1/2(3.14 x 121)

Area=1/2(379.94)

Area=189.97 cm^2

adjustment:

Area=1/2(3.142 x 11^2)

Area=1/2(3.142 x 121)

Area=1/2(380.182)

Area=190.091

Answer:

correct students

-5+2x=15

2x=15+5

2x=20(divided by 2 both sides)

x=10

mistake students

-5+2x=15

-3x=15(divided by - 3 both sides)

x=-5

The required simplified value of the given expression is given as x = 10.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
-5 + 2x = 15

Now,
Adding 5 on both sides,
2x = 15 + 5
2x = 20

Divide by 2 into both sides
x = 10

Thus, the required simplified value of the given expression is given as x = 10.

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The question is incomplete, the correct solution is given above, to determine the mistake of the student, compare the above solution with the student solution.

Answer:

-15/16

Step-by-step explanation:

1/16 ÷ -1/15 = -15/16

Brainliest please :)

Answer:

15 over 16

Step-by-step explanation:

1/16 devide 1/15

=1/16*15

=15/16

Hi! Your answer is 125/3 π

Please see an explanation for a clear understanding to the problem.

Any questions about the answer/explanation can be asked through comments! :)

Step-by-step explanation:

For this problem, I'll be demonstrating two methods to solve your problem which are Integration method and Formula method. Let's start with Formula method first!

Formula Method

Volume of Cone Formula

[tex]V=\huge{\frac{1}{3}\pi r^2h}[/tex]

r is a radius. Therefore, r² is a diameter.

h is height of cone.

Our r is 5. Therefore, 5² = 25.

Our h is 5.

Substitute these values in the equation.

[tex]V=\huge{\frac{1}{3}\pi (5)^2(5)}\\V=\huge{\frac{1}{3}\pi (25)(5)} \\V=\huge{\frac{1}{3}\pi (125)}\\V=\huge{\frac{125}{3}\pi}[/tex]

Hence, the volume of a cone is 125/3 pi. If you want in Mixed Number form then It'd be 41 and 2/3 pi [ 41 2/3 pi]

Integration Method - Proof

Let r':r = x:h

Therefore,

[tex]\huge{\frac{r'}{r}=\frac{x}{h}}\\\huge{r'=\frac{x}{h}r[/tex]

r and h both are same (r is still radius while h is still height)

[tex]\huge{S(x)=\pi(r')^2[/tex]

The reason why we add pi because the surface is a circle. If the surface is not a circle, we don't add pi.

[tex]\huge{S(x)=\pi(\frac{x}{h}r)^2}\\\huge{S(x)=\pi(\frac{x^2r^2}{h^2})}\\\huge{S(x)=\frac{\pi r^2}{h^2}x^2}\\[/tex]

The range starts from 0 ≤ x ≤ h

[tex]\huge{V=\int\limits^h_0 {S(x)} \, dx[/tex]

Substitute S(x) in.

[tex]\huge{V=\int\limits^h_0 {\frac{\pi r^2}{h^2}x^2 } \, dx[/tex]

Integrate, separate everything in the integrand out except for x^2

[tex]\huge{V=\frac{\pi r^2}{h^2} \int\limits^h_0 {x^2} \, dx}\\\huge{V=\frac{\pi r^2}{h^2}[\frac{1}{3}x^3]^h__0}}\\\huge{V=\frac{\pi r^2}{h^2}[\frac{1}{3}h^3]}\\\huge{V=\pi r^2[\frac{1}{3}h]}\\\huge{V=\frac{1}{3}\pi r^2h}[/tex]

As you notice, Integration method is pretty useful, but it's mostly for an advanced volume lesson only.

Integration Method - Problem Solving

Let r':r = x:h

r is given as 5

h is given as 5 as well.

Therefore, r':5 = x:5

[tex]\huge{\frac{r'}{5}=\frac{x}{5}}\\\huge{r'=\frac{x}{5}(5)}\\r'=x[/tex]

[tex]\huge{S(x)=\pi(r')^2}\\\huge{S(x)=\pi(x^2)}\\\huge{S(x)=\pi x^2}[/tex]

The range of volume starts from surface to height. Therefore the range is 0 ≤ x ≤ 5

[tex]\huge{V=\int\limits^5_0 {S(x)} \, dx }\\\huge{V=\int\limits^5_0 {\pi x^2} \, dx }\\\huge{V=\pi\int\limits^5_0 {x^2} \, dx }\\\huge{V=\pi[\frac{1}{3}x^3]^5__0}}\\\huge{V=\pi[(\frac{1}{3}(5)^3-\frac{1}{3}(0)^3]}\\\huge{V=\pi[(\frac{1}{3}(125)-0)]}\\ \huge{V=\pi[(\frac{1}{3}(125)]}\\\huge{V=\pi(\frac{125}{3})}\\\huge{V=\frac{125}{3}\pi}[/tex]

Notice that both methods have same answer. Hence, we can conclude that the volume of a cone is 125/3 pi units²

Answer:

1. (5,2)

2. (8,10)

3. (6, -10)

4. (-4, -8)

5. (-10, 0)

6.(-8,7)

7. (-6,-9)

8.(9,-6)

9. (5,-6)

10.(6,-6)

Answer:

f(x)= -10cos(3x)+10

Step-by-step explanation:

I hope this is right !

Problem 1

-----------------------

Work Shown:

There are is 1 way to get 0 tails (aka 5 heads)

There are 5 ways to flip the coins so that exactly one coin shows tails and the rest are heads.

We have 1+5 = 6 ways of getting at most 1 tail. The phrasing "at most 1" means "1 is the largest number we can get".

There are 2^5 = 32 ways to flip five coins, so there are 32-6 = 26 ways of getting at least two tails. Note the events "getting at most 1 tail" and "getting at least 2 tails" are complementary events. One or the other must happen.

The probability of getting two or more tails is therefore 26/32.

========================================================

Problem 2

-----------------------

Work Shown:

We'll work our way backwards starting with the last (7th) son

x = number of villages left before the 7th son gets his share

x/8 + 7 = number of villages the 7th son gets

x - (x/8+7) = 7x/8 - 7 = number of villages left after the 7th son gets his share

This amount should be 0, so,

7x/8 - 7 = 0

7x/8 = 7

7x = 7*8

7x = 56

x = 56/7

x = 8

There are 8 villages left before the 7th son gets his share; this means he gets x/8+7 = 8/8+7 = 1+7 = 8 villages. Or you can note that if there are 8 villages left, and he's the last in line, then he gets the remaining 8.

Plugging x = 8 into 7x/8 - 7 leads to 0.

----------

y = amount of villages left before the 6th son gets his share

y/8 + 6 = amount of villages the 6th son gets

y - (y/8+6) = 7y/8 - 6 = amount of villages left after 6th son gets his share

We match up the x = 8 found earlier with this new expression and we solve for y. This is because x represents the number of villages leftover after the 6th son gets his share. After the 6th son gets his share, that leftover x is then handled for the 7th son as discussed above.

7y/8 - 6 = x

7y/8 - 6 = 8

7y/8 = 14

7y = 14*8

7y = 112

y = 112/7

y = 16

There are 16 villages leftover before the 6th son gets his share.

This means the 6th son gets y/8 + 6 = 16/8 + 6 = 2+6 = 8 villages.

----------

z = amount of villages left before the 5th son gets his share

z/8 + 5 = amount of villages the 5th son gets

z - (z/8+5) = 7z/8 - 5 = amount of villages left after 5th son gets his share

You can probably spot the pattern by now. We'll follow the same idea as before. Set 7z/8-5 equal to the 16 villages and we get

7z/8-5 = y

7z/8-5 = 16

7z/8 = 16+5

7z/8 = 21

7z = 21*8

7z = 168

z = 168/7

z = 24

There are 24 villages before the 5th son gets his share.

He gets z/8 + 5 = 24/8 + 5 = 3 + 5 = 8 villages.

------------

I'll do one more iteration

w = amount of villages left before the 4th son gets his share

w/8 + 4 = amount of villages the 4th son gets

w - (w/8+4) = 7w/8 - 4 = amount of villages left after 4th son gets his share

Set that equal to the previous value 24 and solve for w

7w/8-4 = z

7w/8-4 = 24

7w/8 = 24+4

7w/8 = 28

7w = 28*8

7w = 224

w = 224/7

w = 32

There are 32 villages before the 4th son gets his share.

He gets w/8 + 4 = 32/8 + 4 = 4 + 4 = 8 villages.

------------

The rest of the steps to find the other village counts will follow this template. You should find that each son gets 8 villages. There are 7 sons, so that means there are 7*8 = 56 villages total.

------------

It makes sense that the answer is some multiple of 8 because when taking 1/8 of the value leads to an integer. In other words, (1/8)*x is an integer.

Furthermore, it also makes sense that each son gets a multiple of 8 villages because if let's say the first son gets 9 villages (some non-multiple of 8), then 56-9 = 47 is not a multiple of 8. Plugging that into x/8+2 for the second son will lead to some non-integer result. So it's a bit nice that everything is a multiple of 8.

A stronger verification is shown in the table below. The table keeps track of how many leftover villages there are for any given son, whether its before or after they get their share. At the top we start with 56 and then slowly make our way down to 0 villages.

Answer:

[tex]x < 24.49[/tex]

Step-by-step explanation:

Given

[tex]Record = 24.49[/tex]

Required

Possible time to break the record

Since no option is given to select from. I will answer the question using inequalities

For her to break the record, she must swim at a time less than 24.49.

i.e. 24.48, 24.00, 23, 22.50, etc...

Represent the time with x.

So, the inequality is:

[tex]x < 24.49[/tex]

Answer:

150

Step-by-step explanation:

x/6 = 25

therefore, x = 25 * 6

x = 150

you're welcome....

Answer:

150/6=25

Step-by-step explanation:

×/6=25

×6. ×6

× = 150

Answer:8

Step-by-step explanation:

Answer: square root of 76

Step-by-step explanation:

6^(2)+4^(2)-2*6*4*cos120= 76 and then to simplify you square root it

Answer:

[tex]5\frac{3}{4}[/tex]

Step-by-step explanation:

We know that Madelyn bought 12 5/8 of fabric, we then are told she used 6 7/8 of them for a costume followed by asking how much fabric she has left.

Madelyn has 12 5/8 in total

She took away 6 7/8.

To make this easier for us, we can make both fractions improper, which can be done by multiplying the whole number by the denominator and adding the numerator.

[tex]12\frac{5}{8} -6\frac{7}{8}[/tex]

Multiply the whole number by the denominator :

[tex]\frac{5}{96} - \frac{7}{48}[/tex]

Add the numerator and change the denominator back to 8 :

[tex]\frac{101}{8} - \frac{55}{8}[/tex]

Subtract the numerators :

[tex]\frac{101 - 55}{8} = \frac{46}{8}[/tex]

Simplify the fraction to the lowest possible :

[tex]\frac{46/2}{8/2} = \frac{23}{4}[/tex]

Put the improper fraction back into a mixed fraction :

[tex]5\frac{3}{4}[/tex]

Answer:

[tex] \frac{8}{25} [/tex]

Explanation

[tex] \frac{0.32}{100} [/tex]

2 numbers are beyond the decimal point. This is in the hundredths place. So place the decimal upon 100. It will become

[tex] \frac{32}{100} [/tex]

To simplify this fraction find the lowest common multiple that can go both in 32 and a 100 without leaving a remainder. That would be 4.

32 ÷ 4 = 8

100÷4 = 25

Answer:

48

Step-by-step explanation:

40% of 120

40  x     120   = 4800 / 100 = 48

100      

Answer:

A- 48

Step-by-step explanation:

You divide your percentage by 100. So, 40% would be 40 divided by 100 or . 40. Once you have the decimal version of your percentage, simply multiply it by the given number.

Answer: the answer is 31

Step-by-step explanation: if you do 149 X 2 then minis that by 360 it will give you 62 then you divide that by 2 to get 31

Answer:

[tex]\displaystyle 31°[/tex]

Step-by-step explanation:

Both angles form a linear pair, therefore you sum them up to 180°:

[tex]\displaystyle 180° = 149° + m∠x; 31° = m∠x[/tex]

I am joyous to assist you at any time.

Answer: 450 cm³ is the volume

Step-by-step explanation:

Volume of pyramid = L x W x H divide by 3

The required volume of the given square pyramid is 20,250 cubic centimeters.

Given that,
The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters. The volume of the pyramid in cubic centimeters is to be determined.

Volume is defined as the ratio of the mass of an object to its density.

Here,
The volume of the square pyramid is given as,
= 1/2 area of base × height
= 1/2[30×30]×45
= 900 × 45 / 2
= 20,250 cubic centemeters.

Thus, the required volume of the given square pyramid is 20,250 cubic centimeters.

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