Alex measured the rainfall on his property to be 10.5 cm in June which he calculated to be a 35% increase compared to the previous month. how much had it rained in may explain the steps you took to turn in the solution

Answer:

The size of angle PQR is 150°

Step-by-step explanation:

Lets explain how to solve the problem

- A polygon is regular when all its angles are equal and all its sides

 are equal

- The measure of each interior angle an any regular polygon

  = , where n is the number of its angles or its sides

∵ PQ and QR are two sides of a regular 12 sided polygon

∴ Q is one of its vertex

- We need to find the size of angle PQR

∵ Angle PQR is an interior angle in the regular 12 sided polygon

∴ n = 12

Use the rule above to find the size of the angle PQR

∵ The size of ∠PQR =

∴ The size of ∠PQR =

∴ The size of ∠PQR =

∴ The size of angle PQR = 150°

* The size of angle PQR is 150°

Answer: The bakery made 3 batches of biscuits.

Step-by-step explanation:

To find how many batches the bakery made  set up a proportional relationship .

so if  [tex]\frac{3}{10}[/tex]   can make 1 batch of biscuit

is asking how many batch of biscuits  can [tex]\frac{3}{5}[/tex]  cup of flour make

so solve this divide 3/5 by 3/10 to find the number of batches

[tex]\frac{3}{5} /\frac{3}{10}[/tex]  = [tex]\frac{30}{15 }[/tex]  = 2 +1

Answer:

the bakery made 3 batches of bicuits.

3/10=0.3

3/5=0.6

if 0.3 is 1 batch then 0.6 is 2 batches 1+2=3

Answer:

Step-by-step explanation:

most probably secant

hope it helps

Answer: HI, Hope this helps you dear!

Step-by-step explanation:

3/4 - 2 7/8 = 2.8755

Answer:

2 7/8

Step-by-step explanation:

5 3/4 = 23/4

2 7/8 = 23/8

23×2=46

4×2=8

46/8-23/8= 2 7/8

Answer:

r=12.5

Step-by-step explanation:

V=2/3πr³

V=1300π m³

r=?

r=3√(3*1300π/2)

r=12.49

Answer to the question : 17 units

Answer:

17

Step-by-step explanation:

all you do is add -12 and 5 and pretend the - isnt there, and now you have 17.

Answer:

B. 588 inches cubed.

Step-by-step explanation:

the pyramid base with 2inch height = 392 - 14 x 14 = 196 = 392-196 = 196

the pyramid with 9 inch height = 588.25 = 14 x 14 = 196 the adjoined upper base.

= 588.25 - 196 = 392.25 + 196 = 588^3  (inches cubed ) we only needed one base structure

We check the slant = (1/2)base = 7 then divide 392.25/7 = 56.0357142857/4

Then divide by 4 = 56.0357142857/4 = 14 and we know the slant is also 14.

We can find the isosceles central height and know it will be the smaller measure as it always is, using 14^2 - 7^2 = a^2

= 196sr - 49sr = 47sr

a^2 = √47 = 6.8556546004

So we know the diagram isn't to scale.

The equation of a rectangle pyramid =

A=lw+√l (w2)

2+√ 2+w

(l2)2+√ h2

The base is l*w*h - l*l = 392-196

or l*w + 4* h*w =196

The total volume of air inside the skylight is 980 inches cubed. Option D is correct.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The volume of the rectangular pyramid is (1/3) × base area × height = (1/3) × 14² × 9 = 588 cubic inches.

The volume of the rectangular prism is length × width × height = 14 × 14 × 2 = 392 cubic inches.

The total volume of air inside the skylight is the sum of the volumes of the pyramid and prism, which is 588 + 392 = 980 cubic inches.

Therefore, the answer is (D) 588 inches cubed.

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Answer:

(7, 4)

Step-by-step explanation:

One-to-one function means that for every value of y in the range there is associated only one value in x in the domain.

If the point (x, y) belongs to f(x), then point (y, x) belongs to f^-1(x) (its inverse). In this case, (4,7)  is on the graph of f(x), therefore (7, 4)  is on the graph of f^-1(x)

Answer:

9ab - 9a +1

Step-by-step explanation:

first, we can distribute the negative sign to the second set of parentheses.

-(-4ab + 5) becomes + 4ab - 5

now let's put the values in (5ab-9a-4) side by side with the corresponding values in + 4ab - 5

5ab + 4ab - 9a - 4 - 5

= 9ab - 9a - 9, because 5ab + 4ab = 9ab, -9a is alone, and -4 - 5 = -9.

Answer:

f(6) = 4

Step-by-step explanation:

We want the value of the function when x =6

Go to where x=6 then go up to when you hit the blue line then find the y value

f(6) = 4

Answer:

the ball takes 3.1944 sec

Step-by-step explanation:

Answer:

It takes 3.498 seconds.

Step-by-step explanation:

To calculate free fall you must use the formula: h=1/2gt^2

Answer:

True

Step-by-step explanation:

Answer:

1. $1650

2. $1415.52

3. $5540

4. No

5. 145

6. No

Step-by-step explanation:

1. 2230 - 580

2. 157.28 x 9

3. 6630 - 1090

4.

5. 725 - 580

Hope this helps!

Answer:

0

Step-by-step explanation:

2(a+3)/b

Let a=-3 and b=2

2(-3+3) / 2

2(0)/2

0/2

0

Answer:

0

Step-by-step explanation:

We are given the expression:

2(a+3)/b

We know that a= -3 and b=2. Therefore, we can substitute -3 in for a and 2 in for b.

2(-3+3)/2

Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, Subtraction.

Solve inside the parentheses first. Add -3 and 3.

2(0)/2

Multiply 2 and 0.

0/2

Divide 0 by 2

0

Answer:

The final answer is [tex]n > -1[/tex], which would be the first choice.

Step-by-step explanation:

-Solve the inequality:

[tex]-6n + 5 < 11[/tex]

-Subtract both sides by [tex]5[/tex]:

[tex]-6n + 5 - 5 < 11 - 5[/tex]

[tex]-6n < 6[/tex]

-When you are dividing by a negative number, which is [tex]-6[/tex], the inequality sign would change:

[tex]\frac{-6n}{-6} < \frac{6}{-6}[/tex]

[tex]n > -1[/tex]

So, the final answer would be [tex]n > -1[/tex].

Answer:

42

Step-by-step explanation:

In a rectangle, the diagonals have the same length. Therefore:

[tex]3x+6=5x-18 \\\\3x+24=5x \\\\ 24=2x \\\\x=12 \\\\BD=5(12)-18=60-18=42[/tex]

Hope this helps!

Answer:

BD = 42

x=12 is found below as a way to find x

We can find 42 by adding together the equations

3x+6 = 5x-18

+18 = 5x(-3x-6)

18 + 6 = 2x

24 = 2x

x= 12  

We can then plug in for 5x and 3x

as BD = 5x-18 = 3x+6

5(12) = 60 -18 = 42 and 3(12) =36+6 = 42

To find line BD = 42

Step-by-step explanation:

3x+6= 42

3x = 42-6

3x = 36

x = 12

5x-18 = 60

5x = 60- 18

5x = 42

x=12

Answer: C

Step-by-step explanation:

Since you are multiplying the two scientific notations, you would multiply 8.1 and 2.2. After, you would multiply the 10³ and 10^6. When you multiply 2 exponents with the same base, you add the exponents. Therefore, C is your correct answer.

Answer:

(8.1*2.2)*10^3+6

Step-by-step explanation:

The equation = 1.782*10^10=17820000000

The top equation = 10.3*1001000

The second equation = 17.82*10^18=17820000000000000000

The third equation = 17.82* 1000000000= 17820000000

Answer: 28

Step-by-step explanation:

Since this is an isosceles triangle, two of the angles are congruent.

180 - 124 = 56

56/2 = 28

Answer:

x = 2

Step-by-step explanation:

[tex]14x = 28\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14x}{14}=\frac{28}{14}\\Simplify\\x=2[/tex]

The value of ED is 4 units in the diagram.

It is given that in the diagram m ∠B = m∠AED, AD = 8, AC = 22, and BC = 11.

It is required to find the ED.

The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have m ∠B = m∠AED both angles are equal.

And the m ∠A in the ΔADE and m ΔABC are the same.

By using the angle-angle similarity theorem ( ∵∠A=∠A)

[tex]\rm \frac{ED}{BC} = \frac{AD}{AC} \\\\\rm \frac{ED}{11} = \frac{8}{22} \\\\\rm \frac{ED}{11} = \frac{8}{22} \\\\\rm ED = 4 \ unit[/tex]

Thus, the value of ED is 4 units in the diagram.

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Answer:

x^3 -10x + 57

Step-by-step explanation:

You could do this with two weighings assuming its a two pan balance - (1) place three balls on each side - if they balance out then its the remaining three that has abnormal ball (2) out of that group, place one ball on each side - if balances it out, the abnormal ball is the remaining one.

If the weighing in step (1) does not balance out, grab the group of three balls that is light or heavy and repeat step (2) described above.

Answer:

3 6/25 is greater

Step-by-step explanation:

Because -3 1/4 is a negative number

it is 3 1/4coz to be equal the other one had to be 3 6/24

Answer:

40 boxes

Step-by-step explanation:

box = 24 x 15 x 10 = 3600 cm

1 paper clip box = 6 x 3 x 5 = 90 cm

3600/90 = 40

so 40 boxes of paper clips will fit

Answer:

40 boxes

box = 24 x 15 x 10 = 3600 cm

A paper clip box = 6 x 3 x 5 = 90 cm

3600/90 = 40

so 40 boxes of paper clips

Answer: 2.5

Step-by-step explanation:

y = rx

substitute numbers in and solve for r

if

y = 10

x = 4

then

10 = r4

r = 10/4 = 2.5

this works for all the other numbers and always gives r = 2.5

Answer:

[tex] x^{33} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^8y^{-26}}{x^{14}y^{-5} \times x^{-39}y^{-21}} = [/tex]

A negative exponent in the numerator is a positive exponent in the denominator.

A negative exponent in the denominator is a positive exponent in the numerator.

[tex] = \dfrac{x^8y^{5}x^{39}y^{21}}{x^{14}y^{26}} [/tex]

[tex] = \dfrac{x^{8 + 39} y^{5 + 21}}{x^{14}y^{26}} [/tex]

[tex] = \dfrac{x^{47} y^{26}}{x^{14}y^{26}} [/tex]

[tex] = x^{47 - 14} y^{26 - 26} [/tex]

[tex] = x^{33} y^{1} [/tex]

[tex] = x^{33} [/tex]

Answer:

8

Step-by-step explanation: