Find the volume of the irregular
figure.
3 cm
3 cm
?] cm3
8 cm
3 cm
3 cm
4 cm

Answer:

Hi! The answer to your question is [tex]n=m/2-x[/tex]

Step-by-step explanation:

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Hope this helps!!

- Brooklynn Deka

Answer:

n= 1/2  m−x

Step-by-step explanation:

m=2(x+n)

Step 1: Flip the equation.

2n+2x=m

Step 2: Add -2x to both sides.

2n+2x+−2x=m+−2x

2n=m−2x

Step 3: Divide both sides by 2.

2n/2   =  m−2x /2

n= 1/2  m−x

Hopes this helps

Answer:

10000 possible combinations

Step-by-step explanation:

Number of digits = 4

Range of values of each digit = 0 - 9

Number of digits in range = 10

Hence, each digit could be = (1 - 10)

1st digit = 10

2nd digit = 10

3rd digit = 10

4th digit = 10

Total possible combination :

10 * 10 * 10 * 10 = 10000 possible combinations

Answer:

98

Step-by-step explanation:

i am smart

Answer:

51.2feet

Step-by-step explanation:

Given;

Horizontal distance = 40feet (Adjacent)

Angle of elevation = 52 degrees

Required

Height of the pole H (Opposite)

Using the SOH CAH TOA identity

Tan theta = opp/adj

Tan 52 = H/40

H = 40tan 52

H = 40(1.2799)

H = 51.2 feet

Hence height, h, of the flagpole to the nearest tenth is 51.2feet

Answer:

$1.50

Step-by-step explanation:

The computation is shown below:

Given that

The cost of each cupcakes be 0.50 cents

And, the cost of doughnuts be $25

So for two doughnuts the cost would be 2.50

And, for two cupcakes, the cost would be 0.50 × 2 = 1

So, the more amount would be

= 2.50 - 1

= $1.50

Hence, the same would be considered and relevant too

Given:

Slips of paper numbered 1 to 15 are placed in a box.

To find:

The probability that the number picked is either a multiple of 5 or an odd number.

Solution:

We have,

Total outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

No. of total outcomes = 15

Multiple of 5 are 5, 10, 15.

Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15.

Number that are either a multiple of 5 or an odd number are 1, 3, 5, 7, 9, 10, 11, 13, 15.

No. of favorable outcomes = 9

We know that,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{9}{15}[/tex]

[tex]\text{Probability}=\dfrac{3}{5}[/tex]

[tex]\text{Probability}=0.6[/tex]

Therefore, the  probability that the number picked is either a multiple of 5 or an odd number is 0.6.

Answer:

x = 4.5

Step-by-step explanation:

Since the perimeters are equal , then the equation relating them is

2x + 3 + 2x - 3 + x = x + 3 + x + 3 + x + 3 , that is

5x = 3x + 9 ( subtract 3x from both sides )

2x = 9 ( divide both sides by 2 )

x = 4.5

Answer:

Step-by-step explanation:

This is terminated after 4 places of decimal

Answer:

Step-by-step explanation:

In the decimal expansion of a rational number, the general rule is that if the denominator is of the form 2^m*5^n, then it will terminate after n places if n>m or m places if m>n.

In this case, 4 > 3 so the expansion will terminate after 4 decimal places.

Answer:

I) ∠CAB measures 60°.

II) BC measures approximately 15.23 cm.

*Please read notes.

Step-by-step explanation:

We are given ΔABC, where AB measures 10√3 cm, AC measures 6 cm, and the triangle has an area of 45 square cm.

And we want to find I) the measure of ∠CAB and II) the length of BC.

I) First, we should always draw a representative triangle so we can determine the sides and angles. This is shown below.

Note that ∠CAB (or simply ∠A) is the angle between the two sides. Thus, we can find the angle by using the alternative formula for the area of a triangle:

[tex]\displaystyle A=\frac{1}{2}ab\sin(C)[/tex]

Where a and b are two side lengths, and C is the angle between the two sides.

Substitute:

[tex]\displaystyle 45=\frac{1}{2}(10\sqrt{3})(6)\sin(A)[/tex]

Simplify:

[tex]\displaystyle 45=30\sqrt{3}\sin(A)[/tex]

So:

[tex]\displaystyle \sin(A)=\frac{45}{30\sqrt{3}}=\frac{3}{2\sqrt3}=\frac{\sqrt{3}}{2}[/tex]

Take the inverse sine of both sides. Use a calculator. Thus:

[tex]\displaystyle m\angle A=\sin^{-1}\left(\frac{\sqrt{3}}{2}\right)=60^\circ[/tex]

II) To find BC, we will use the Law of Cosines. We do not know whether or not ΔABC is a right triangle, so we cannot use right triangle trigonometry or special right triangles.

The law of cosines is:

[tex]\displaystyle c^2=a^2+b^2-2ab\cos(C)[/tex]

Where a and b are side lengths and C is the angle between the side lengths. c is the side length opposite to the angle.

BC is opposite to A. Substitute:

[tex](BC)^2=(10\sqrt{3})^2+(6)^2-2(10\sqrt{3})(6)\cos(60^\circ)[/tex]

Simplify:

[tex]\displaystyle BC^2=336-120\sqrt{3}\left(\frac{1}{2}\right)=336-60\sqrt{3}[/tex]

Take the square root of both sides:

[tex]\displaystyle BC=\sqrt{336-60\sqrt{3}}\approx 15.23[/tex]

BC measures about 15.23 cm.

Notes:

In this case, the inverse sine of √3/2 will yield two answers: 60° and 120°. This is an example of an ambiguous case. Both of these angles will work. However, BC will be different. If ∠A is 60°, then BC is about 15.23. However, if ∠A is 120°, then BC is about 20.97. Both will result in the triangle having an area of 45 square cm, as well as AB measuring 10√3 and AC measuring 6.

Answer:

All except B.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

po keep on learning keep safe

Answer:

volume= length x width x height

Step-by-step explanation:

In this instance the height will represent the depth of the pool.

To actually solve it it would look like

2500=(22)(40)(h)

2500=880(h)

2.84=h (or depth)

Answer:

28,882.87

Step-by-step explanation:

 20,157.50

+   8,725.37

  28,882.87

Answer:

28,882.87

Step-by-step explanation:

       1

20,157.5

+ 8,725.37

28,882.87

Answer: 12

Step-by-step explanation:

Since Duane has 30 pairs of socks in a drawer and he has 6 matched pairs and the rest are of the socks are mismatched, the number if mismatched socks will be:

= 30 - 6

= 24 mismatched socks

Since he packed 1/2 of his mismatched pairs in his duffle bag for a week at summer camp, therefore, the number of socks he packed will be:

= 1/2 × 24

= 12

Therefore, he packed 12 socks for summer camp.

Answer:

x+10=45

x+10-45=0

x-35=0

x=35

Answer:

yep

Step-by-step explanation:

nice

Answer:

this is the answer in the image above

Answer:

look attachment

Answer:

Area ≈ 3077.68

Explanation:

See attached image for equation

Answer:

Step-by-step explanation:

10 games, 8 rides

Answer: Approximately normal, because we expect 19.2 successes and 20.8 failures from people in their twenties, and 16.8 and 43.2 from people in their fifties, and all of these counts are at least 10.

Step-by-step explanation:

Answer: $1,560

Step-by-step explanation:

Assume the computer's price is x.

This means that expressing the printer in terms of x would be:

= 30% * x

= 0.3x

These two put together represent the cost of $2,028

Expression is:

x + 0.3x = 2,028

1.3x = 2,028

x = 2,028/ 1.3

x = $1,560

Computer was $1,560

Printer was therefore:

= 1,560 * 30%

= $468

Answer:

non-proportional

Step-by-step explanation:

Answer:

∠ 1 = 72°

Step-by-step explanation:

(4n - 2) and (2n + 17) are adjacent angles and sum to 180° , that is

4n - 2 + 2n + 17 = 180

6n + 15 = 180 ( subtract 15 from both sides )

6n = 165 ( divide both sides by 6 )

n = 27.5

Then

2n + 17 = 2(27.5) + 17 = 55 + 17 = 72

∠ 1 and 2n + 17 are vertical angles and congruent , so

∠ 1 = 72°

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{x-\dfrac{3}{2}=3}[/tex]

[tex]\large\textsf{You have to SIMPLIFY the SIDES of The given EQUATION}[/tex]

[tex]\mathsf{x + (-\dfrac{3}{2}) = 3}[/tex]

[tex]\large\textsf{ADD by } \mathsf{\dfrac{3}{2}}\large\textsf{ to BOTH of the SIDES}[/tex]

[tex]\mathsf{x + (-\dfrac{3}{2})+ \dfrac{3}2{}=3+\dfrac{3}{2}}[/tex]

[tex]\large\textsf{CANCEL out: } \mathsf{-\dfrac{3}{2}+\dfrac{3}{2}}\large\textsf{ because that gives you 0}[/tex]  

[tex]\large\textsf{Keep: } \mathsf{3+ \dfrac{3}{2}}\large\textsf{ because that helps solve for your x-value }[/tex]

[tex]\large\textsf{New equation: }\mathsf{x = 3 + \dfrac{3}{2}}[/tex]

[tex]\mathsf{3+\dfrac{3}{2}}[/tex]

[tex]\large\textsf{SOLVE above and you have your ANSWER}[/tex]

[tex]\mathsf{3+\dfrac{3}{2}=\bf \dfrac{9}{2}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Therefore, your answer is: }\mathsf{\bf x = \dfrac{9}{2}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Future Value = $ 12528.15

Step-by-step explanation:

The depreciation is applied to the car annually. The value of the car after depreciation in "n" no. of years can be given by the following formula:

[tex]Future\ Value = (Present\ Value)(1-depreciation\ rate)^n\\[/tex]

where,

Future Value = ?

Present Value = $ 24000

Depreciation Rate = 15% = 0.15

n = no. of years = 4

Therefore,

[tex]Future\ Value = (\$ 24000)(1-0.15)^4[/tex]

Future Value = $ 12528.15

Answer:A snow day occurs when school is canceled for the day because of bad winter weather. The box below shows the number of snow days at Andrew's school during each of the past six winters.

Step-by-step explanation: