Find the area of triangle ABC
please help asap!

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Explanation:

The coefficients of each term, from left to right are 1, 3, 3, 1

These coefficient values are found in Pascal's triangle in the third row.

The variable terms will have variable terms in the form a^m*b^n. To start off, m = 3 and n = 0 to get a^3*b^0 = a^3*1 = a^3. From there you will have m count down (3,2,1,0) and n will count up (0,1,2,3)

So for the second term we have m = 2 and n = 1 to get the variable term a^2*b^1 = a^2b

The third term has m = 1 and n = 2 to get the variable term a^1*b^2 = ab^2

Finally the last term has m = 0 and n = 3 to get a^0*b^3 = 1*b^3 = b^3

Those variable terms are them multiplied with the coefficients mentioned previously to get the final answer.

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Another way you can do this problem is to use the distributive property and FOIL rule

(a+b)^3 = (a+b)(a+b)^2

(a+b)^3 = (a+b)(a^2+2ab+b^2) .... FOIL rule

(a+b)^3 = a(a^2+2ab+b^2) + b(a^2+2ab+b^2) ... distribute

(a+b)^3 = a*a^2+a*2ab+a*b^2 + b*a^2+b*2ab+b*b^2 ... distribute again

(a+b)^3 = a^3 + 2a^2b + ab^2 + a^2b + 2ab^2 + b^3

(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

Answer:

160

Step-by-step explanation:

Answer:

2.15d+3.12 = 11.72

Step-by-step explanation:

The total cost is found by adding the costs of the donuts and the cost of the drink

The donuts cost 2.15 per donut = 2.15d

The drink is 3.12

She spent 11.72

2.15d+3.12 = 11.72

Answer: 4 dounts

Step-by-step explanation:

2.15d + 3.12 = 11.72

         - 3.12     -3.12

2.15d = 8.6

8.6/2.15 = 4

That's how you get 4 donuts. Please mark brainliest.

Answer:2.25 + 4.5 = 6.75 cups of flour

2.25

Step-by-step explanation: 1 batch is already 2.25 in decimal form so just infer from there.. divide 2.25 from .5 and get 4.5 then add to the one batch you've already received .. 4.5 + 2.25 = 6.75 and just convert into a fraction 6 3/4

The resulting number is 72895.5.

To round the number given on statement we must truncate all digits that are less than a tenth and ascend the tenth digit to its next one. Please notice than tenth digits is the digit right after the separator.

Step 1 - Truncate digits less that a tenth:

[tex]x = 72895.4[/tex]

Step 2 - Ascend the tenth digit to its next one:

[tex]x = 72895.5[/tex]

We kindly invite to see this question related to rounding: https://brainly.com/question/2323275

Answer:

Half of 21 in a radius is 10.5.

Answer:

21/2=10.5

Step-by-step explanation:

21/2

Answer:

n = 0 or n = -9/16

Step-by-step explanation:

Solve for n:

2 (8 n^2 + 9 n) - 9 n = 0

Hint: | Write the quadratic polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

16 n^2 + 9 n = 0

Hint: | Factor the left hand side.

Factor n from the left hand side:

n (16 n + 9) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

n = 0 or 16 n + 9 = 0

Hint: | Look at the second equation: Isolate terms with n to the left hand side.

Subtract 9 from both sides:

n = 0 or 16 n = -9

Hint: | Solve for n.

Divide both sides by 16:

Answer: n = 0 or n = -9/16

Answer:

1. alternate exterior angles

2. co-interior angles

3. corresponding angles

4. alternate interior angles

5. corresponding angles

6. co-interior angles

Answer:

DOMAIN: [tex](-\infty,1]\cup(2,\infty)[/tex]

RANGE: [tex](-\infty,\infty)[/tex]

Step-by-step explanation:

The domain of a graph is the span of x-values covered by the graph, while the range of a graph is the span of y-values covered by the graph.

DOMAIN:

From the graph, we can see that the x-values covers everything to the left of x=1. Then we stop and then continue beginning at x=2 all the way until positive infinity.

However, note that at x=1, the dot is a closed circle while at x=2, the dot is an open circle. Thus, we will include x=1 into our domain but not include x=2 into our domain.

So, our domain is all values greater than or less than 1, and all values greater than 2.

In interval notation, this is:

[tex](-\infty,1]\cup(2,\infty)[/tex]

We use brackets with the 1 because we include it in our domain and we use parentheses with the 2 since we do not.

RANGE:

Looking at the graph, it seems that all y-values are covered. The part of the graph on the left covers all y-values less than or equal to 3, while the part of the graph on the right covers all y-values greater than -1. Thus, all y-values are covered.

Our range is all real numbers.

In interval notation, this is:

[tex](-\infty,\infty)[/tex]

Answer:

24.5

Step-by-step explanation:

If you multiply 2 and 24.5 together you would get 49

The value of the solution to the given equation is 7, which is the correct answer that would be option (D).

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

The equation is given in the question following as:

x² = 49

We have to determine the value of the solution to the given equation

As per the given question, we have

⇒ x² = 49

⇒ x² - 49 = 0

⇒ x² - 7² = 0

We know that the formula as, a² - b² = (a + b)(a - b)

Here a = x and b = 7, and we get

⇒ (x + 7)(x - 7) = 0

⇒ x + 7 = 0 and x - 7 = 0

⇒ x = - 7 = 0 and x = 7

Thus, the value of the solution to the given equation is 7,

Hence, the correct answer would be an option (D).

Learn more about the equation here:

brainly.com/question/10413253

#SPJ5

Answer:

30cm^2

Step-by-step explanation:

area of triangle = bxh/2

12x5=60/2=30cm^2

Answer:

My answer is 30.

Step-by-step explanation:

Area of a triangle is 1/2×b×h or b×h/2.

The base in the diagram is 12 and the height is 5. then 12×5=60 then 60÷2=30....Thank you for the question....

Answer:

its b

Step-by-step explanation:

i just did it.

Answer:

3 years

Step-by-step explanation:

By simple interest formula:

[tex]i = \frac{prt}{100} \\ \\ 27 = \frac{225 \times 4 \times x}{100} \\ \\ x = \frac{27 \times 100}{900} \\ \\ x = \frac{2700}{900} \\ \\ x = 3 \: years[/tex]

Step-by-step explanation:

2 x (16 + (10 + 3) - 3) - 22

2 x (16 + 13 - 3) - 22

2 x 26 - 22

2 x 4

= 8

Answer:

1363.6

Step-by-step explanation:

let the basic salary be = x

10% of x = 10/100x

So the equation = x + 10/100x = 1500

                           = x + 0.1x = 1500

                           = 1.1x = 1500

                           =  x = 1500/1.1

                           =  x = 1363.6

Answer:

Option C.

The two sums are equal.

Step-by-step explanation:

In geometry, the sum of the exterior angles of any polygon will always give 360 degrees. This is regardless of the type of polygon, whether it is a triangle, quadrilateral, pentagon, or a decagon.

This means that the sum of the exterior angles of a square is equal to that of the pentagon.

As the number of sides that they have increases, the sizes of their internal angles get smaller, making the sum of their external angles remain at 360 degrees

Answer:

2167.2

Step-by-step explanation:

Answer:

2167.2

Step-by-step explanation:

For this problem, let's use the distributive property to make this multiplication easier.

4.2 can be redistributed into 4 & 1/5, as 0.2 == 1/5.

Now let's multiply these numbers with 516.

(516 * 4) + (516 * 1/5) == ?

(2064) + (103.2) == ?

2167.2 == ?

So the product of 516 and 4.2 is equal to 2167.2.

Cheers.

Answer:

  The left side is a reflection of the right side

Step-by-step explanation:

The photo has a vertical line of symmetry down the middle. There are no other points or lines of symmetry. The left side is a reflection of the right side.

Answer:

the living room

Step-by-step explanation:

Answer:

6      :  15       : 11

Step-by-step explanation:

men:women:children

24  :  60        : 44

Divide each part by 4

24/4  :  60/4     : 44/4

6      :  15       : 11

Answer:

5 metres.

Step-by-step explanation:

The volume is the length of each edge cubed,

so x^3 = 125    where x is that length.

x = ∛125

= 5.

Answer:

5

Step-by-step explanation:

Answer:

Area = length × width = 15 × 9 = 135

Perimeter = 2 × (length + width) = 2×(15 + 9) = 48

Answer:

422 Square Inches

Step-by-step explanation:

6x7=42

7x13=91

6x13=78

(2)42+(2)91+(2)78=422

You are multiplying each calculation by 2 because a rectangular prism has 6 sides. 2 sides height x width, 2 sides height x length, and 2 sides width x length

Answer:

(6,5)

Step-by-step explanation:

Formula: ([tex]\frac{x_{1}+x_{2} }{2 }[/tex],[tex]\frac{y_{1} +y_{2} }{2 }[/tex])

([tex]\frac{3+9}{2}[/tex],[tex]\frac{5+5}{2}[/tex])=([tex]\frac{12}{2}[/tex],[tex]\frac{10}{2}[/tex])

            =(6,5)

Answer:

x=2 is the answer.

Step-by-step explanation:

10+2x+6x=26

10+8x=26

Subtracting 10 on both sides to find out the value of x

10-10+8x=26-10

8x=16

Dividing 8 on both sides

8x/8=16/8

x=2

Hope it will help ^_^

Answer:

Step-by-step explanation: I hope it helps :)

[tex]10 + 2x + 6x = 26\\\\\mathrm{Add\:similar\:elements:}\:2x+6x=8x\\10+8x=26\\\\\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}\\10+8x-10=26-10\\\\Simplify\\8x=16\\\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}=\frac{16}{8}\\\\Simplify\\x =2[/tex]

Answer:

               y-coordinate

Step-by-step explanation:

Ordinated pair means coordinates of some point in coordinate system. The first always is x-coordinate and the second is y-coordinate.

(7,12)  means 7 is x-coordinate and 12 is y-coordinate