A triangular prism is 18 centimeters long and has a triangular face with a base of 12 centimeters and a height of 8 centimeters. The other two sides of the triangle are each 10 centimeters.
What is the surface area of the triangular prism?

Answer:

180 - 17 - 14 =149

180 - 149 = 31*

Step-by-step explanation:

Answer: 180 - 17 - 14 =149180 - 149 = 31*

Step-by-step explanation: it’s right

Answer:

2x^2 +xy - 3y^2

Step-by-step explanation:

2x(x-y) +3y(x-y)

2x^2+xy - 3y^2

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

There are six blue bows and ten silver bows. = 6:10

There are four red bows out of ten bows. = 4:10

There are three black bows out of a bag of ten bows. = 3:10

There are three silver bows for every four red bows in a bag. 3:4

Answer:

x + 2tan X . sec X / X

Step-by-step explanation:

The derivatives of trigonometric functions is as follows

* d/dx (sin x) = cos x

* d/dx (cos x) = - sin X

* d/dx (tan x) = sec ^2 X

* d/dx (Cot x) = -cosec^2 X

* d/dx (sec x) = tan x . sec x

* d/dx (cosec x) = -cot x . cosec x

and so the derivative of sec is tanx . sec x

d/dx x - sec x

the derivative of variables is considered 1.

since we remove 1 from their exponent they'll have 0 as their exponent which can only mean the end value is 1.

so d/dx of X is = 1

d/dx od -sec X is = -tan X . Sec X based on the general derivative properties above.

in conclusion the final answer is = x + 2tan X . sec X / X

The difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.

Given that a survey found that in a sample of 75 families, 26 owned dogs, while a survey done 15 years ago found that in a sample of 60 families, 26 owned dogs, to find the 95% confidence intervals of the true difference in the proportions, the following calculation must be performed:

Therefore, the difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.

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Answer:

each cup would cost $0.52

Step-by-step explanation:

there are 16 cups in 1 gallon so you multiply that by two. Then you have 32 so you divide 16.64 by 32 and you end up with 0.52.   hope this helped :))

Tell me I got this wrong

Answer:

Step-by-step explanation:

2 + 14 = 16 x 3 = 48

Answer:

8

Step-by-step explanation:

diameter is the radius times 2

The answer would be

A. True

Answer:

4,000 which is four thousand

Answer:

4000

Step-by-step explanation:

Answer:

$30.46

Step-by-step explanation:

Total payment = down payment + interest fee + 24 equal payments

980 = 200 + 49 + 24 equal payments

24 equal payments = 24 * p, as we add p 24 times

980 = 249 + 24p

subtract 249 from both sides to isolate p and its coefficient

731 = 24p

divide both sides by 24 to isolate p

p = 30.46

Answer:

3/2x

Step-by-step explanation:

−

2

3

x

−

4

9

=

3

2

x

Answer:

2.5 units

Step-by-step explanation:

I took the test and got this question right

I forgot how I did it but test your luck if you believe me

Answer:

b

Step-by-step explanation:

Factors of 36 are the list of integers that we can split evenly into 36. There are overall 9 factors of 36 among which 36 is the biggest factor and its positive factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The Pair Factors of 36 are (1, 36), (2, 18), (3, 12), (4, 9) and (6, 6) and its Prime Factors are 1, 2, 3, 4, 6, 9, 12, 18, 36.

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18 and 36

Negative Factors of 36: -1, -2, -3, -4, -6, -9, -12, -18 and -36

Prime Factors of 36: 2, 3

Prime Factorization of 36: 2 × 2 × 3 × 3 = 22 × 32

Sum of Factors of 36: 91

Factors of a number are the numbers that divide the given number exactly without any remainder. According to the definition of factors, factors of 36 are those numbers that exactly divide 36 leaving no remainder. In other words, we can say if two numbers are multiplied and the product is 36, then the numbers are factors of 36.

Let us do a hit and trial method to find factors of 36.

Divide 36 ÷ 2 = 18

Quotient = 18, remainder = 0

Now multiply 18 × 2 = 36

Hence, 18 and 2 are the factors of 18.

36 is a composite number as it has factors other than 1 and itself.

We can use different methods like the divisibility test, prime factorization, and the upside-down division method to calculate the factors of 36.

The most common method we use to find factors is the prime factorization method.

In prime factorization, we express 36 as a product of its prime factors.

In the division method, we see which numbers divide 36 exactly without a remainder.

Let us calculate factors of 36 using the following two methods:

Factors of 36 by prime factorization factor tree method

Factors of 36 by upside-down division method

Prime Factorization of 36 by Upside-Down Division Method

Now as discussed above, in the prime factorization method we show factors of 36 as a product of prime factors of 36. Follow the steps to find the prime factors of 36 by the prime factorization method.

With the help of divisibility rules, find out the smallest factor of the given number. Here, 36 is an even number. So it is clearly divisible by 2. In other words, 2 divides 36 with no remainder. Therefore, 2 is the smallest prime factor of 36.

36 ÷ 2 = 18.  Now find the prime factors of the obtained quotient. Repeat Step 1 and Step 2 till we get a prime number as the quotient. Here, 18 is the quotient.

18 ÷ 2 = 9. Here, 9 is the quotient. Now find the prime factors of the 9.

9 ÷ 3 = 3. Here 3 is the prime number. So we can stop the process.

Prime factorization of 36 using upside-down division method is 2 × 2 × 3 × 3 = 2² × 3².

Prime Factorization of 36 by Factor Tree Method

The factor tree method is another visualization method to represent factors of 36. It also helps in determining prime factors of 36. A factor tree is not unique for a given number. Instead of expressing 36 as 2 × 18, we can express 36 as 6 × 6.

Prime factorization of 36 using factor tree method is 2 × 2 × 3 × 3 = 2² × 3².

Explore factors using illustrations and interactive examples

Factors of 33: The factors of 33 are 1, 3, 11, and 33.

Factors of 34: The factors of 34 are 1, 2, 17, and 34.

Factors of 38:  The factors of 38 are 1, 2, 19, and 38.

Factors of 30: The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

Factors of 360: The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.

Factors of 35: The factors of 35 are 1, 5, 7, and 35.

Factors of 37: The factors of 37 are 1 and 37.

Factors of 36 in Pairs

Factor pairs are the two numbers that, when multiplied, give the number 36. Find all of the factors of the number 36 using the steps below:

Step I: Start with 1 and the number itself.

Step II: Count up by ones to see if you can multiply two numbers together to get your target number.

Step III: Stop when you can’t get any more numbers in between.

Step IV: Connect the factor pairs.

Factor pairs of 36 are given below:

36 = 1 × 36

36 = 4 × 9

36 = 6 × 6

36 =12 × 3

36 = 18 × 2

Let us club the numbers in pairs.

The factors of 36 in pairs are (1, 36), (4, 9), (6, 6), (12, 3), and (18, 2).

There are a total of 5 pairs of factors of 36.

We can have negative factors also for a given number.  

Since the product of two negative numbers is positive [(-) × (-) = +].

The negative pair factors of 36 are (-1, -36), (-4, -9), (-6, -6), (-12, -3), and (-18, -2)

There are a total of 5 negative pairs of factors of 36.

Important Notes:

36 is a composite number as it has factors other than 1 and itself.

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Pair factors of 36 are (1, 36), (4, 9), (6, 6), (12, 3), and (18, 2).

1 is a factor of every number.

Prime factorization of 36 is 2 × 2 × 3 × 3 = 2² × 3².

Challenging Questions:

Find the factors of 3600 with the help of techniques used in finding factors of 36.

Prove that the factor of a number is always less than or equal to the number itself?

Answer:

changes over time

Step-by-step explanation: its going up not staying at one spot

Answer:

14 to 5

Step-by-step explanation:

9 + 5 = 14(total books)

new books = 5

so ratio of total books to new books is 14 to 5

[tex]0 - (-\frac{31}{43})=0+ \frac{31}{43}=\frac{31}{43}[/tex]

ANSWER : true

ok done. Thank to me :>

Answer:

True

Step-by-step explanation:

[tex]0 - ( - \frac{31}{43} ) \\ 0 + \frac{31}{43} \\ = \frac{31}{43} [/tex]

[tex]x = -4 \pm \sqrt{19}[/tex]

Step-by-step explanation:

Let us put 3 on the right side and rewrite the equation as

[tex]x^2 + 8x = 3[/tex]

By putting 16 on both sides, our equation becomes

[tex]x^2 + 8x + 16 = 3 + 16 = 19[/tex]

[tex]\Rightarrow (x + 4)^2 = 19[/tex]

Taking the square root of the equation, we get

[tex]x + 4 = \pm \sqrt{19}[/tex]

Finally, solving for x,

[tex]x = -4 \pm \sqrt{19}[/tex]

There is a total of 52 grams of carbs in 1/4 cup, then 1 tablespoon will contain 208 grams of carbs.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given information in the question,

There are 52 grams of carbs in 1/4 cup of syrup

Let's assume that the amount of carbs in 1 tablespoon is x.

So,

x = (52 × 4)

x = 208 grams.

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The area of the forest in square yards is [tex]9.3 \times 10^6[/tex]

The area of the forest in square miles is given as:

[tex]Area = 3mi^2[/tex]

To convert the area to square yards from square miles, we multiply the area by 3.098 * 10^6.

So, we have:

[tex]Area = 3 \times 3.098 \times 10^6yd^2[/tex]

Evaluate the product

[tex]Area = 9.294 \times 10^6yd^2[/tex]

Approximate

[tex]Area = 9.3 \times 10^6yd^2[/tex]

Hence, the area of the forest in square yards is [tex]9.3 \times 10^6[/tex]

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Answer:

12 = m + 7

Step-by-step explanation:

When you plug in 5 to the above equation, you get 12 = 5 + 7. This is a true statement, so the answer is 12 = m + 7. Hope this helps!

Answer:

32

Step-by-step explanation:

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator

Thus, the answer to 12 divided by 3/8 in fraction form is:

96 /3

To make the answer to 12 divided by 3/8 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

96 / 3 = 32

The answer is rounded to the nearest two decimal points if necessary.

96/3 can be simplified to 32/1.

32/1 is an improper fraction and should be written as 32.

Hope this helps <3

Answer:32

Step-by-step explanation: 0.375 = 3/8

12/0.375=32

Step-by-step explanation:

This is in the form of

[tex]h(x) = y[/tex]

in this case, x is 1 and y is 7. So ourbpoint would be (1,7.)

Answer:

[tex]x=21[/tex]

Step-by-step explanation:

First of all, the two blue angles (i painted on the image) are congruent since opposed to the vertex.

At this point the red angle is a right angle while the green one is 180°. At this point it's a simple system of linear equations:

[tex]\left \{ {{3x+7+y=90} \atop {5y+10+3x+7=180}} \right. \\\left \{ {{3x+y=83} \atop {3x+5y=163}} \right. \\\\15x+5y-3x-5y=415-163 \rightarrow 12x=252 \rightarrow x=21[/tex]

Answer:

As per graph the rate of Printer A is 15 pages per minute.

Missing words are:

(a) greater than

(b) greater than

(c) 15

The rate for Printer B is greater than the rate for Printer A because the rate of 25 pages per minute is greater than the rate of 15 pages per minute for Printer A.

or

The printing rate for Printer B is 10 pages more than the rate of printer A because the rate of 25 pages per minute is 10 pages more than the rate 15 pages per minute for Block A

Step-by-step explanation: it's either greater than or more than

From the graph of the printing rate of Printer A, we can see that;

At 1 minute, number of pages printed = 15

At 2 minutes, number of pages printed = 30 minutes

At 3 minutes, number of pages printed = 45

Thus printing rate for printer A is; 15/1 = 30/2 = 45/3 = 15 pages per minutes

Since printer B can print 25 pages per minute, we can conclude that;

The printing rate for Printer B is 10 pages more than the rate of printer A because the rate of 25 pages per minute is 10 pages more than the rate 15 pages per minute for Block A

Using the percentage concept, it is found that the San Francisco Giants won 46.3% of their games.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem:

Then:

[tex]P = \frac{75}{162} \times 100\% = 46.3\%[/tex]

The San Francisco Giants won 46.3% of their games.

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Answer:

E

Step-by-step explanation:

1+2+2+1