Find the area of the following triangle. Show each of the math steps that you use to find the area. Then explain how to go about finding the area of this particular triangle (explain each one of the steps that you showed with your math).
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The number of possible combinations is an illustration of principle of counting

There are 15 possible pairs of possible combinations

From the question, we understand that the first digit is 6, 8 or 9.

This means that the new table would not have entries that begin with 5 or 7.

The table is then represented as:

      6       8         9

5    65     85      95

6    66     86      96

7     67     87      97

8    68     88      98

9    69     89      99

Count the number of entries

Entries = 15

Hence, there are 15 possible pairs of possible combinations

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Answer:

c

Step-by-step explanation:

Answer:

20-10=20

20+10=30

Step-by-step explanation:

For 20-10 let's assume John has 20 apples. He gives 10 to Carol.

Understand that subtraction can mean taking away or finding a difference. For example, 13 – 8 can mean, “How many are left when you take 8 away from 13?” Or, 13 – 8 can be interpreted as, “How much more is 13 than 8?” Understand that subtraction is the opposite of addition. Know the addition facts up to 9 + 9.

If john has 20 apples and gives 10 to carol, he will have 10 left.

For 20+10, we do the opposite operation, which is addition.

Addition is finding the total value of two or more numbers. Addition is shown using the + symbol in maths sums.

If john has 20 apples and buys 10 more, he will have 30 apples.

Hey ! Buddy

Find the value of x .

We have to find the value of x .

The concept of this question belongs to the sum of all the three interior angles of triangle i.e. sum of all the three interior angles of triangle is equal to 180° .

As we know that sum of all the three interior angles of triangle is equal to 180° . So ,

[tex] \rightarrow \: Angle \: 1 + Angle \: 2 \: + Angle \: 3= 180°[/tex]

Now , substituting values of Angle 1 , 2 and 3 :

[tex] \longmapsto \: x° + 43° + 36° = 180° [/tex]

Now , adding 43 and 36 in right hand side :

[tex] \longmapsto \: x° + 79° = 180° [/tex]

Now , transposing 79° to right hand side :

[tex] \longmapsto \: x° = 180° - 79° [/tex]

Now , subtracting 79° from 180° :

[tex] \longmapsto \: \pink{\boxed{ { \bold{x° = 101°}}}}[/tex]

Answer:

The first one is obtuse because it is larger than 90 degrees.

The second one is reflex shown below:

Step-by-step explanation:

Answer:

The average number of hours studying per pound of the book bag

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer: 1 inc^3

Step-by-step explanation:

V = A^3

Where a = side

V = 1 ^3

V = 1 inch^3

Or in meteres it is 1.6387064e-5

Step-by-step explanation:

HOPE THIS HELPS IF NOT SORRYYYY !!!!!

Answer:

LA = 720 , SA = 780

Step-by-step explanation:

find the missing length of the triangle using Pythagoras then use this value (8) to find the surface area of the sides and the triangle.Add up the values.

Answer:

Step-by-step explanation:

To find the lateral surface area of triangular prism, first we need to know the three sides of the triangle. Here, one side is missing and we have to find that using Pythagorean theorem. Let the unknow side of the triangle be 'c'

Pythagorean theorem,

15² + c² = 17²

225 + c² = 289

         c² = 289 - 225

         c² = 64 = 8*8

c = 8 in

a = 17 in & b = 15 in & h = 18 in

[tex]\boxed { \text{Lateral surface area = (a + b + c)*h }}[/tex]

                                = ( 17 + 15  + 8 ) * 18

                                = 40 * 18

                                = 720 in²

[tex]\boxed { \text{total surface area = LSA + 2* area of base triangles}}[/tex]

[tex]\text{ area of base triangles = 2* $ \dfrac{1}{2}*base*height $}[/tex]

                                  = base * height

                                  = 8 * 15

                                   = 120 in²

Total surface area = 720 + 120

                                = 840 in²

Step-by-step explanation:

31+27+19+18+22+21+25+29+34+30 divided by 10

Answer:

A, C

Step-by-step explanation:

The number of jars of jam that has to be sold in order to break even is 106,250.

The minimum sales price is $24.36.

The monthly profit is $5,097.12.

The price per customer is $205.34.

The ROI is 106.68%.

Breakeven quantity = fixed cost / price – variable cost per unit

$42500 / (1.2 - 0.8) = 106,250

Minimum price = (fixed cost / breakeven sales) + variable cost

($562,795.00 / 61,755) + $15.25 = $24.36

Profit = revenue - total cost

Revenue = 443 x 28.99 = $12,842.57

Total cost = $3692 + (9.15 x 443) = $7,745.45

Profit = $12,842.57 - $7,745.45 = $5097.12

Price = (profit +  total cost) / number of customers

Total cost = $2,345 + (16.90 x 45) = $3,105.50

($6,135.00 - 3105.50) / 45 = $205.34

ROI = (profit / cost of the investment) x 100

Cost = fixed cost + variable cost

$5,750 + (0.80 x 4175) = $9090

Profit = total revenue - cost

(4.5 x 4175) - 9090 = $9,697.50

ROI = $9,697.50 /  $9090 = 106.68%

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Answer:

- 32/35

Step-by-step explanation:

-8/7 / 5/4 = -32/35

Answer:

179.50

Step-by-step explanation:

The formula for calculating pi is as followed: 4/3·π·r³

The question is either asking to calculate using 3.14 for π or add π at the end of your answer instead of completing it. I will substitute π for 3.14.

∴V=4/3·3.14·3.5³

V=179.503333333

Round your answer to the nearest hundredth:

179.503333333 rounded to the nearest hundredth becomes 179.50

∴V=179.50

-------------------------------------------------------------------------------------------------------------

Another way to answer this question is to use the same formula; but not substitute 3.14 into the answer.

V=π.4/3·r³

V=π·57.1666666667

Round 57.1666666667: 57.17

V=57.17π

Either one would work. Hope this works.

Answer:

Ray.

Step-by-step explanation:

Lines have no endpoints, while rays have 1 endpoint (:

[tex]if\ \alpha < 3[/tex]

[tex]f(\alpha )=3\alpha[/tex]

[tex]if\ x\ \geqslant 3[/tex]

[tex]f(x)=2x[/tex]

[tex]Sin\ you\ get\ the[/tex]

[tex]yoiclure\ on\ the[/tex]

[tex]right.[/tex]

I hope this helps you

:)

The choice that matches the graph of the function as is defined to us is: Graph A.

A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable).

We are given a function f(x) as:

f(x)=   2x    if x < 3 and 4 if  x ≥ 3

This means that in the region (-∞,3) the graph of a function is a straight line that passes through the origin and has a open circle at x=3. and in the region [3,∞) the graph is a straight horizontal line i.e. y=4.

Hence, the graph of this function is: Graph A.

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#SPJ7

I don't know how to do this stuff

Answer:

[B] - 1/3

Step-by-step explanation:

Given:

-8x-5(1-x)=6x-2

Solve:

Expand : -8x - 5(1-x) : -3x -5

-3x - 5 = 6x -2

Add 5 to both sides (Balance)

-3x-5+5=6x-2+5

Simplify

-3x = 6x + 3

subtract 6x to both sides (Balance)

-3x - 6x = 6x +3 -6x

Simplify

-9x = 3

Divide both sides by -9 (Balance)

-9x/-9=3/-9

Simplify

x = -1/3

[RevyBreeze]

Answer:

D

Step-by-step explanation:

First subtract 4 from both sides and divde both sides by 2.

Solution:

=2x+4>16

=2x+4-4>16-4

=2x>12

=2x÷2>12÷2

=x>6

Answer:

i think 5 prisms are cool

Step-by-step explanation:

==========================================================

Explanation:

The base of the cone is 24 m across. This is the diameter of the circle. Divide it in half to get 24/2 = 12 m as the radius.

We can form a right triangle inside the cone such that the horizontal piece is the radius 12 m and the vertical piece is the height 16 m. The hypotenuse of this right triangle is the slant height. This is all mentioned in the instructions of course.

We'll use the pythagorean theorem to find the hypotenuse.

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{ a^2 + b^2 }\\\\c = \sqrt{ 12^2 + 16^2 }\\\\c = \sqrt{ 144 + 256 }\\\\c = \sqrt{ 400 }\\\\c = 20 \text{ meters is the slant height}\\\\[/tex]

It is the distance from the circular base to the peak of the cone, when traveling along the outside of the cone. This is a straight line distance.

Answer:

mean=86+72+16+42+16+55+16+12+91+55/2

mean=230.5

mode=16-unimodal

median the middle value but in the first arrange in ascending order.

12,16,42,55,72,86 and 91

median=55

hope it helps!

a. False; if b is negative, then -b is positive, so

a - b = a + (-b)

is the sum of two positive numbers, which must be positive.

b. True; the sum of two negative numbers is again negative.

c. True; a + b will be positive as long as a > |b|. (For example, if a = 2 and b = -1, then of course 2 > |-1| = 1, and a + b = 2 + (-1) = 1 > 0.)

d. False; this would contradict the result of part (c). b + a is only negative if a ≤ |b|. (For example, if a = 1 and b = -2, then b + a = -2 + 1 = -1 < 0.)

We can't determine right off the bat what values of x make this inequality true, so we should solve it first.

First, use the distributive property and distribute 3 :

3(x+2)-x<8

3x+6-x<8

Now subtract 6 on both sides :

3x-x<8-6

3x-x<2

now , subtract the x's :

2x<2

Divide by 2 on both sides :

x<1

Let's try -1 (-1 is less than 1)

Plug it in ↓

3(-1+2)-(-1)<8

3(1)+1<8

3+1<8

4<8

4 is less than 8.

hope helpful ~

Answer:

x < 1

Step-by-step explanation:

Expand the brackets: 3 * x = 3x and 3 * 2 = 6

Current inequality: 3x + 6 - x < 8

Collect like x terms: 3x - x = 2x

Current inequality: 2x + 6 < 8

Collect like integer terms: subract 6 from both sides

Current inequality: 2x < 2

Convert 2x to x: divide both sides by 2

Final answer = x < 1

Hope this helps :)

Answer:

d. D: allreal numbers

R: y>= -6

Step-by-step explanation:

You are allowed to use a graphing calculator to see the graph. See image.

This curve is a parabola. Upward and downward opening parabolas have a domain of all real numbers. Any x can be found on the graph and/or any x can be used in the equation without limit. That's "all real numbers"

See the graph does not exist below -6. Range is all the y's on the graph and/or all the possible y's the equation will spit out. Here we can clearly see the graph only exists from -6 and up. Range is y>= -6.

Answer:

x = 4

y = 8

Steps are given, below in the picture

I hope my answer helps you.

Step-by-step explanation:

Use trigonometric ratios to get one of the missing sides. Once you have that side you can use the theorem of pythagoras or you can use a trig ratio to get the remaining side.

SOH CAH TOA

The statement that described the triangle properties is that the segment YZ and segment Y"Z" should be proportional when the dilation is done and it should be congruent when the translation should be done.

Given that,

Based on the above information,

Therefore we can conclude that option d is correct.

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Answer:

y =8

x=80

Step-by-step explanation:

5y-10=3y+6

5y-3y=6+10

2y =16

y=8

x+30+x-10=180

2x+20=180

2x=160

x=80