A triangular prism has a height of 10 cm and a base area of 12 cm2. A rectangular prism has a height of 10 cm and base dimensions of 3 cm and 4 cm. Do the solids have the same volume?

Answer:

1500

Step-by-step explanation:

You can find the complete solution in the given attachment

Answer:

2D8

Step-by-step explanation:

To convert decimal number 728 to hexadecimal, follow these steps:

step 1 =Divide 728 by 16 keeping notice of the quotient and the remainder.

step 2 =Continue dividing the quotient by 16 until you get a quotient of zero.

step 3 =Then just write out the remainders in the reverse order to get hexadecimal equivalent of decimal number 728.

Using the above steps, here is the work involved in the solution for converting 728 to hexadecimal number:

728 / 16 = 45 with remainder 8

45 / 16 = 2 with remainder 13 (D)

2 / 16 = 0 with remainder 2

Then just write down the remainders in the reverse order to get the answer, The decimal number 728 converted to hexadecimal is therefore equal to :

2D8

Answer: The correct answer is $7.60.

Step-by-step explanation: First, you multiply 1.90 and 3. This gives you 5.7. Then, you add 1.9. This gives you $7.60.

Answer:

£7.60

Step-by-step explanation:

Alicia found £1.90, we can give this the value x

Her brother found triple the amount, or 3x

In total they found 4x

If £1.90 is x, 4x is £7.60

Answer:

Answer will be 50

Step-by-step explanation:

Let us suppose, present age of Nuri be ‘x’ years and present age of Sonu be ‘y’ years.

Now, it is given that five years ago, Nuri was thrice old as Sonu. Hence,

Five years ago,

Nuri’s age = x-5 years

Sonu’s age = y-5 years

And relation between ages can be given as

Nuri’s age = 3×sonu’s age or

x-5 = 3(y-5)

x-5 = 3y-15

x-3y+10 = 0 ………..(i)

Another relation is given in the problem that ten years later, Nuri is twice as old as Sonu.

So, ten years ago,

Nuri’s Age = x+10

Sonu’s Age = y+10

And relation between ages can be written as

x+10 = 2(y+10)

x+10 = 2y+20

x-2y-10 = 0 …………..(ii)

Now we can solve the equation (i) and (ii) to get values of x and ‘y’ or present ages of Nuri and Sonu.

Value of ‘x’ from equation (i) be

x = 3y-10 ……….(iii)

Putting value of ‘x’ from equation (iii) in equation (ii) we get,

3y-10-2y-10 = 0

y = 20

Now, from equation (iii) value of ’x’ can be given as,

x= 3(20)-10

x = 50

Hence, the present ages of Nuri and Sonu are 50 years and 20 years respectively.

Answer:

b 50 degrees bavaggagshdd

Algebraic properties can be applied in any mathematical equation.

There are several algebraic properties; they include:

All these properties can be applied in a mathematical equation.

An instance is as follows:

3(x + 2) = 18

Method 1

Apply the distributive property

3x + 6 = 18

Apply the subtraction property of equality

3x = 12

Apply the division property of equality

x = 4

Method 2

Apply the division property of equality

x + 2 = 6

Apply the subtraction property of equality

x = 4

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Answer:

Step-by-step explanation:

Answer:

The correct answer is 37°

The sum of √30 + √50 lies between 12 and 13.

The square root of a number can be described as number that when multiplied with itself yields that number.

√30 = 5.48

√50 = 7.07

5.48 + 7.07 = 12.55

The consecutive integers are 12 and 13

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Answer: 2,400 doctors used brand X aspirin.

Step-by-step explanation: The question notifies us that 3,600 total doctors were surveyed. This automatically lets us know that 6/6 doctors = 3,600 doctors. We can find the unit rate from this point by dividing 3,600 by 6. We will find that 600 doctors represents 1/6 doctors. We can multiply our unit rate by 4 to find that 4 out of 6 doctors, or 2,400 doctors, use brand X aspirin. 4/6 of 3,600 is 2,400, so 2,400 doctors used brand X aspirin. Hope this helps!

Answer:

1200 doctors

Step-by-step explanation:

60% of doctors use brand X aspirin.

So, what is 60% of 2000?

(0.6) (2000) = 1200

1200 out of the 2000 use brand X.

Answer:

Check the attached image below

Answer:

Tn= a+( n-1) 3

Tn= 9+(n-1)3

Answer:

The answer is B. 13.7 inches

i hope this can help you! :)

Answer:

48 muffins were sold

Step-by-step explanation:

Represent the number of muffins by m and the number of cookies by c.

Then the revenue from the sales of muffins was ($2/muffin)m and that from the sales of cookies ($1/cookie)c.  Remembering that c = m + 2, we obtain the following equation:

($2/muffin)m +  ($1/cookie)(m + 2) = $146, so that:

2m + 1m + 2 = 146, or 3m + 2 = 146, or 3m = 144.

Dividing both sides of this result by 3, we get m = 48

Thus, 48 muffins were sold.

Answer:

Step-by-step explanation:

15) let T1 be the event : “get a tail in the first flip”

    let T2 be the event : “get a tail in the second flip”

p(T1 ∩ T2) = 1/4

p(T1) = 1/2

p(T2) = 1/2

Then

p(T1) × p(T2) = (1/2)(1/2 = 1/4

Since ,p(T1 ∩ T2) = 1/4 = p(T1) × p(T2)

Then the events are independent.

16) These events are dependent since we don’t  replace the Queen before the second draw.

The two Events are dependent because the probability that we draw a Queen  in the first draw affect the probability that we draw a Queen in the second draw.

Answer:

The answer is D. infinite.

Answer:

infinte

Step-by-step explanation:

→ For any value of x which is substituted you will get that value

Answer:

36

Step-by-step explanation:

12 x 6 = 72 / 2 = 36 because the area of a triangle is base times height divided by 2

Using proportions, it is found that the number of chaperones that the school needs is given by:

B. 8.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, 2 chaperones are needed for every 25 students. How many are needed for 100 students? The rule of three is given by:

2 chaperones - 25 students

n chaperones - 100 students

Applying cross multiplication:

25n = 2 x 100

n = 200/25

n = 8.

Hence option B is correct.

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Answer:

a dice has 1 two and 1 three

1/6 *1/6 =1/36

AnswerAnswerAnswerAnswer: C = πd = 65π = 204.2 cm

Step-by-step explanation: C = pi*d

where d is the diameter.

First we get the circumference, then we multiply it by the number of revolutions, which is 20:

C = 3.14 * 65

C = 204.1 cm (this is only equal to 1 revolution)

Therefore, total distance travelled in after 20 revolutions is

204.1 * 20 = 4082 cm

The A(n) is inverse function is the function that sometimes results when the independent variable of a function is exchanged with the dependent variable.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We know that the inverse of a function, sometimes known as an anti function, is a function that can be reversed into another.

In other words, if a function "f" converts x to y, the inverse of the same function will convert y to x. The inverse function is denoted by f⁻¹ or F⁻¹ if the function is denoted by 'f' or 'F'.

Thus, the A(n) is inverse function is the function that sometimes results when the independent variable of a function is exchanged with the dependent variable.

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Answer: 91 coins

9 x 25 = 2.25 dollars
3 x 10 = 30 cents
1 x 5 = 5 cents

Answer:

irrational

Step-by-step explanation:

The maximum area of the rectangular path is when the length is 24 feet and the width is 12 feet.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the length and y represent the width. Hence:

There is 48 feet of fencing:

x + 2y = 48

x  = 48 - 2y   (1)

The area (A) is:

A = xy = y(48 - 2y)

A = 48y - 2y²

The maximum area is at A' = 0, hence:

48 - 4y = 0

y = 12

x = 48 - 2(12) = 24

The maximum area of the rectangular path is when the length is 24 feet and the width is 12 feet.

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Answer:

True.

Keys:

Step-by-step explanation:

[tex]\tan \left(\theta\right)+\cot \left(\theta\right)=\sec \left(\theta\right)\csc \left(\theta\right)\\\tan \left(\theta\right)+\cot \left(\theta\right)\\=\frac{\cos ^2\left(\theta\right)+\sin ^2\left(\theta\right)}{\cos \left(\theta\right)\sin \left(\theta\right)}\\=\frac{1}{\cos \left(\theta\right)\sin \left(\theta\right)}\\\\\sec \left(\theta\right)\csc \left(\theta\right)\\=\frac{1}{\cos \left(\theta\right)\sin \left(\theta\right)}[/tex]

What was shown throughout this problem?

We showed that two different sides are capable of taking the same form.

Answer:

? = 41.41°

Step-by-step explanation:

The known side length is adjacent to the angle we need to find hence we will use cosine

cosx = adjacent /hypotenuse

cos(?) = 6 / 8

simplify fraction, cos(?) = 3 / 4

? = arccos(3 / 4)

Answer:

that's easy all you have to do is find out what is the value of x then divided by 2 once you divide by 2 subtract 3x 18 and 0