Included side between < S and < W.
A) side SA
B) side WA
C) side SW

Answers

Answer 1

Answer:

C) Side SW

Step-by-step explanation:

Hello! The included side between <S and <W is side SW. According to the included side rule, this would be the correct answer. I know this is not much of an explanation, but there is not much to it! Hope this helps.


Related Questions

Find the differential for P=0.2x^(2)-17x-10

Answers

The differential for P = 0.2x² -17x -10 is P' = 0.4x - 17

Step-by-step explanation:

Let us revise how to differentiate an equation with respect to x

If the equation is [tex]y = ax^{n}+b[/tex] , where a , b are constant

The differentiation of the term [tex]ax^{n}[/tex] is [tex]a(n)x^{(n-1)}[/tex] (multiply the coefficient of x by the power"n" and subtract 1 from the power)The differentiation of the term b is 0, because b is a constantThe differentiation of y is [tex]\frac{dy}{dx}=a(n)x^{(n-1)}+0=a(n)x^{(n-1)}[/tex]You can write [tex]\frac{dy}{dx}[/tex] as y'

∵ P = 0.2x² - 17x - 10

- Let us differentiate each term

∵ The differentiation of 0.2x² is [tex]0.2(2)x^{2-1}=0.4x^{1}=0.4x[/tex]

∵ The differentiation of -17x is [tex]-17(1)x^{1-1}=-17x^{0}=-17(1)=-17[/tex]

∵ The differentiation of -10 is zero because the differentiation

    of the numerical term is 0

∴ The differentiation of P is P' = 0.4x - 17

The differential for P = 0.2x² -17x -10 is P' = 0.4x - 17

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Indicate the equation of the line, in standard form, that passes through (2, -4) and has a slope of 3/5. Enter your answer into the blank equation box.

Answers

keeping in mind that standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{3}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{\cfrac{3}{5}}(x-\stackrel{x_1}{2})\implies y+4=\cfrac{3}{5}x-\cfrac{6}{5}[/tex]

[tex]\bf \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5(y+4)=5\left( \cfrac{3}{5}x-\cfrac{6}{5} \right)}\implies 5y+20=3x-6\implies 5y=3x-26 \\\\\\ -3x+5y=-26\implies 3x-5y=26[/tex]


Use the basic proportion = -to solve the following problem for the unknown quantity. Round your answer to the
nearest hundredth, if necessary.
What percent of 357 is 551? step by step ​

Answers

Answer:

154.34%

Step-by-step explanation:

We are asked to determine what percentage of 357 is 551.

Let us assume that x% of 357 is 551.

So, [tex]\frac{357 \times x}{100} = 551[/tex]

⇒ [tex]\frac{x}{100} = \frac{551}{357}[/tex]

[tex]x = \frac{551}{357} \times 100[/tex] ......... (1)

x = 154.34%

So, it is clear from the step (1) that when we take the basic ratio then multiply with 100, then we will get the percentage. (Answer)

Final answer:

To determine what percent 551 is of 357, divide 551 by 357, multiply by 100, and round to the nearest hundredth. The answer is 154.34%.

Explanation:

To find what percent 551 is of 357, we use the formula for calculating percentages: 'part over total, times one hundred, equals percent'. The 'part' in this case is 551, and the 'total' is 357.

The calculation is as follows:

Divide the part (551) by the total (357) which equals approximately 1.5434.

Multiply the result by 100 to find the percentage.

1.5434 × 100 = 154.34%

To round the final answer to the nearest hundredth, we look at the digit in the thousandths place. Since the third decimal place is 4, which is less than 5, we do not need to round up, so the rounded percentage is 154.34%.

in a recent study, 55% of the cars tested failed the safety test. If 231 cars failed the safety test, how many cars were tested

Answers

Answer:

420 cars were tested

Step-by-step explanation:

55/100=231/x

55x= 23100

x=420

Final answer:

The total number of cars tested can be calculated by dividing the number of cars that failed (231) by the percentage that failed (55%), resulting in 420 cars tested.

Explanation:

The question asks about the total number of cars tested based on the percentage that failed the safety test. To find the total, we can set up a proportion: if 55% of cars, or 0.55 of the total, failed the safety test and that number is 231, we can represent the total number of cars tested as 'X'. Using the proportion 0.55 = 231/X, we can solve for X, which represents the total number of cars tested.

Step by step, we can start by multiplying both sides of the equation by X to get 0.55X = 231, then we divide both sides by 0.55 to isolate X and find the total:

X = 231 / 0.55
X = 420

Therefore, 420 cars were tested.

What is 6/7 times 4 2/3

Answers

Answer:  4!

Step-by-step explanation:

You can turn 4 2/3 into improper fraction as 14/3. Then you have 14/3 and 6/7. You multiply both tops, then both bottoms. 6x14 is 84 and 3x7 is 21. You get 84/21 or 4. -viridiancat4, an 8th grader.

Answer: 16/7

Step-by-step explanation:

6/7 times 4 2/3 equals 16/7


A Pizzeria sells pizza according to size: small pizzas cost $10, medium pizzas cost $15, and large pizzas cost $40. They usually sell as many small pizzas as medium and large pizzas combined. The number of medium pizzas sold is usually twice as many as large ones. How many of each size pizza must they sell to get $600?

Answers

They must sell 18 small pizzas, 12 medium pizzas and 6 large pizzas

Step-by-step explanation:

A Pizzeria sells pizza according to size:

Small pizzas cost $10, medium pizzas cost $15, and large pizzas cost $40They usually sell as many small pizzas as medium and large pizzas combinedThe number of medium pizzas sold is usually twice as many as large ones

We need to find how many of each size pizza they must sell to get $600

Assume that the number of small pizza is x, the number of medium pizza is y and the number of large pizza is z

∵ The Pizzeria sells x small pizzas, y medium pizzas and

   z large pizzas

∵ The small pizzas cost $10, medium pizzas cost $15, and

   large pizzas cost $40

∵ They get $600

10x + 15y + 40z = 600 ⇒ (1)

∵ They sell as many small pizzas as medium and large pizzas

   combined

x = y + z ⇒ (2)

∵ The number of medium pizzas sold is twice as many as large ones

y = 2z ⇒ (3)

Substitute equation (3) in equation (2) to find x in terms of z only

∵ x = (2z) + z

x = 3z ⇒ (4)

Substitute x in equation (1) by equation (4), and substitute y in equation (1) by equation (3)

10(3z) + 15(2z) + 40z = 600

- Simplify the left hand side

∴ 30z + 30z + 40z = 600

- Add like terms

∴ 100z = 600

- Divide both sides by 100

z = 6

Substitute the value of z in equations (3) and (4) to find y and x

∵ y = 2(6)

y = 12

∵ x = 3(6)

x = 18

They must sell 18 small pizzas, 12 medium pizzas and 6 large pizzas

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The width of a rectangle is the sum of the length and 2. The area of the rectangle is 48 units. What is the width, in units, of the rectangle?

Answers

W=L+2

A=48=L*W

48=L*(L+2)

48=L^2+L*2

0=L^2+L*2-48

L1=6

L2=-8 (can't be used since it's negative)

Lenght=6

Width=8

Lw + 2= A / 6 = 8.

To Start Off:

Level: Middle School

Subject: Mathematics

Lesson: Area Problems

To Set The Problem Up:

You set the problem up as A or 48 = L + 2 x L

To Find The Answer:

What are 2 factors that equal 48 that are Reasonable for this problem?

Maybe 6 and 8?

6 must be the length because the width is larger by +2.

To Solve/Work:

So L= 6 and L + 2 = W, 6 + 2= 8.

This means that Length equals 6 and Width equals 8.

Our 2 factors were correct!

Next, to find the area, we must multiply 6 and 8 to get A.

The Formula: L x W = A

So 6 x 8 = 48.

To Sum It Up:

Our final answer is 48 and it takes finding factors of the total, the area.

Most problems only give out 2/3 parts of our Formula. They want to trick you.

To put on the bow, we learned how to use the formula, which is L x W = A or A = L x W.

Calendar Events:

25 days until Christmas!

33 days until New Years Day!!

And don’t forget to have fun in that frizzy snow.

Hope this helps and have a great evening everyone.

our class voted for treasurer.there are 20 students.after voting billy received 3 times more votes then keeton.how many votes did billy receive?​

Answers

Answer:

Votes received by Billy =15

Step-by-step explanation:

Given:

Total students in the class = 20

Billy receives 3 times more vote than Keeton.

To find the number of votes Billy receives.

Solution:

Let number of votes Keeton gets [tex]=x[/tex]

∴ Billy received [tex]=3x[/tex] votes

Expression for total votes can be given by ⇒ [tex]x+3x[/tex]

Total votes =20 as number of students is 20.

So, the equation to find [tex]x[/tex] is:

[tex]x+3x=20[/tex]

Solving for  [tex]x[/tex]

⇒ [tex]4x=20[/tex]

Dividing both sides by 4.

[tex]\frac{4x}{4}=\frac{20}{4}[/tex]

∴ [tex]x=5[/tex]

∴ Votes received by Keeton = 5

Votes received by Billy = [tex]3\times 5[/tex] = 15

Find the value of "k" such that 1/2 is a root of 2x^2+11x=-k

Answers

The value of k is -6

Step-by-step explanation:

The general form of the quadratic equation is y = ax² + bx + c

The roots of the equation is the values of x when y = 0ax² + bx + c = 0, is used to find the roots

∵ 2x² + 11x = -k

- Add k to both sides

2x² + 11x + k = 0

∵ The roots of the quadratic equations is the values of x when y = 0

∵ [tex]\frac{1}{2}[/tex] is a root of the equation

- Substitute x by [tex]\frac{1}{2}[/tex] in the equation above to find k

∵ 2( [tex]\frac{1}{2}[/tex] )² + 11( [tex]\frac{1}{2}[/tex] ) + k = 0

∴ 2( [tex]\frac{1}{4}[/tex] ) + [tex]\frac{11}{2}[/tex] + k = 0

∴ [tex]\frac{1}{2}[/tex] + [tex]\frac{11}{2}[/tex] + k = 0

- Add the like terms

∵ [tex]\frac{1}{2}[/tex] + [tex]\frac{11}{2}[/tex] = [tex]\frac{12}{2}[/tex] = 6

∴ 6 + k = 0

- Subtract 6 from both sides

k = -6

The value of k is -6

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Final answer:

By substituting x = 1/2 into the equation [tex]2x^2 + 11x = -k[/tex] and simplifying, we find that k must equal -6 for 1/2 to be a root of the equation.

Explanation:

To find the value of k such that 1/2 is a root of the quadratic equation [tex]2x^2 + 11x = -k[/tex], we can substitute x = 1/2 into the equation and solve for k.

First, substitute x = 1/2:

[tex]2(1/2)^2 + 11(1/2) = -k[/tex]

Then, simplify the equation:

2(1/4) + 11/2 = -k

1/2 + 11/2 = -k

Now, combine the terms:

(1 + 11)/2 = -k

12/2 = -k

6 = -k

Finally, multiply both sides by -1 to find k:

k = -6

Marlo pays $750 rent each
month. Bea's rent is 12%
higher. What is the ratio of
Marlo's rent to Bea's rent?

Answers

Answer:

750:90

Step-by-step explanation:

12% of 750 is 90

Which of the following is equivalent to (c + c)(3d + 5)? 2c + 8d 3cd + 7c 6cd + 10c 6c2d + 5c

Answers

Answer:

6cd+10c

Step-by-step explanation:

(c+c)(3d+5)

2c(3d+5)=6cd+10c

For f(x) = 7
, substitute 3 for x in the function to solve for f(3)

Answers

Answer:

f(3)=7

Step-by-step explanation:

f(x)=7

f(3)=7

f(3)= 7. The whole total is f(3) =7

Which are solutions of the equation (x+5)(x - 3) = 0? Check all that apply.
x= -15
x=-5
X=-3
x= 2
x=3
x=5
ای

Answers

Answer:

x=-5, 3

Step-by-step explanation:

(x+5)(x-3)=0

Apply the zero property,

set x+5=0 and x-3=0.

x=0-5=-5

x=0+3=3

x=-5, 3

Answer:

b&e

Step-by-step explanation:

if x is 5 x 15 and b is 11 x 189 what is b - x + 56?

please help it’s due in 2 days and idk how to do it

Answers

Answer:

2060

Step-by-step explanation:

x=5*15

b=11*189

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

x=75

b=2079

b-x+56=2079-75+56=2060

Answer:

i just want points

Step-by-step explanation:

What is the value of x in the equation? 5 1 10 x − 6 4 5 = 3 1 4 A) 1 1 9 B) 1 1 5 C) 1 3 20 D) 1 33 34

Answers

Final answer:

The value of x in the equation is 11/15.

Explanation:

To find the value of x in the equation 5 1 10 x - 6 4 5 = 3 1 4, we need to isolate x on one side of the equation. Here's how you can solve it:

Step 1: Add 645 to both sides of the equation.

Step 2: Subtract 314 from both sides of the equation.

Step 3: Simplify the equation.

Step 4: Divide both sides of the equation by 510.

Step 5: Simplify the fraction.

Therefore, the value of x in the equation is 11/15, which is option B) 11/15.

Which is the Graph of 4x + 2y < 3 ?

Answers

Answer:

2nd graph on edge 2020

Step-by-step explanation:

the line will cross the y-axis at y = 1.5 and the line will be a broken line

Inequality graphs

The inequality functions are not separated by an equal sign.

For the inequality 4x + 2y < 3, the lower portion of the graph will be shaded

Determine the y-intercept. If x = 0

4(0) + 2y < 3
2y < 3

y < 1.5

This shows that the line will cross the y-axis at y = 1.5 and the line will be a broken line as shown:

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210000000 in standard form

Answers

Answer:

2.1 x 10^8

Step-by-step explanation:

2.1*10^8

The first number can not exceed ten so just count how many decimal place it would be and that should be the power.

solve the equation for y
[tex] - 3x + 8y = - 48[/tex]

Answers

-3x +8y = -48

Add 3x to both sides:

8y = 3x -48

Divide each term by 8:

y = 3x/8 - 6

Answer Y=-45/8

Step-by-step explanation:

-3+8y=-48

-3+8y+3=-48+3

8y=-45

8y/8=-45/8

y=-45/8

Pen Packages
Pen Color
Number of Pens
8. Higher Order Thinking Carla buys
two packages of pens. She buys
49 pens in all. Which color pens does
Carla buy? Show how you found the
answer.
Blue
25
Black
12
Red
24
Green
33

Answers

Final answer:

Carla bought one package each of Blue and Red pens. These are the only two packages that when combined bring the total number of pens to 49.

Explanation:

This problem revolves around simple arithmetic and logical reasoning. What we need to do is to figure out which combination of pen packages adds up to make 49 pens.

By looking at the numbers given, we can see that the only combination that adds up to 49 would be one package of Blue pens (25 pens) and one package of Red pens (24 pens). There is no other combination of two packages which would result in a total of 49.

Therefore, Carla would have bought one package of Blue pens and one package of Red pens to have a total of 49 pens.

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there are 31 days in the month of may. what fraction of the month does 10 days represent

Answers

Answer:

10/31

Step-by-step explanation:

I'm pretty certain this is the answer, since 10/31 cannot be simplified any further; 31 being the total days in the month of May

A 10 days represent a fraction of approximately 0.3226 (rounded to four decimal places) of the month of May.

To find the fraction of the month that 10 days represent, we can divide the number of days represented by 10 by the total number of days in the month, which is 31.

Fraction = (Number of days represented) / (Total number of days in the month)

Fraction = 10 / 31

Therefore, 10 days represent a fraction of approximately 0.3226 (rounded to four decimal places) of the month of May.

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Please Solve for 3 of them

Answers

Answer:

13.  b.  4 + 5x = 29; $5.

14.  c.  74 + w = 3w + 6; 34 pounds.

15.  b.  $42.5.

Step-by-step explanation:

13. 4 + 5x = 29

5x = 29-4 = 25

x = 5.

14. 74 + w = 3w + 6

68 = 2w

w = 34.

15. Let x be the money he got last year. Then:

2x + 5 = 90

2x = 85

x = $42.5.

Lisa runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 44 minutes?

Answers

Answer:

6/55 = x/44

 

55x = 6(44)

 

55x = 264

 

x = 264/55 = 4.8 miles

hope this helps<3

Step-by-step explanation:

(03.01) Factor completely x2 − 12x + 35. (1 point)

Answers

Answer:

(x - 5)(x - 7)

Step-by-step explanation:

Given

x² - 12x + 35

Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (- 12)

The factors are - 5 and - 7, since

- 5 × - 7 = 35 and - 5 - 7 = - 12, thus

x² - 12x + 35 = (x - 5)(x - 7) ← in factored form

A coin is tossed.

What is the probability of the coin landing heads up?

A. 1/2

B. 1/4

C. 1/6

D. 1/3

Answers

Answer: 1/2

Step-by-step explanation: In this problem, we're tossing a coin and we want to find the probability of tossing a heads.

Now, let's find the probability of tossing a heads.

Remember that a coin has two sides which are heads and tails. When you flip a coin, each side is as likely to come up as the other. This means that the probability of flipping heads is the fraction 1/2.

Since the probability of flipping a heads is 1/2, we can also say that the probability of flipping a heads is 50%.

Therefore, the probability of flipping a heads on a fair coin is 1/2.

The height of trapezoid VWXZ is 8 StartRoot 3 EndRoot units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX. Trapezoid V W X Z is shown. A line is drawn from point W to point Y on side Z X, forming a right angle. Angles W V Z and V Z Y are right angles. The length of V W is 10 and the length of W Y is 8 StartRoot 3 EndRoot. Angle YW X is 30 degrees, and angle W X Y is 60 degrees. Once you you know the length of YX, find the length of the lower base, ZX. 14 units 10 + 4 StartRoot 3 EndRoot units 18 units 10 + 8 StartRoot 3 EndRoot units

Answers

Answer:

18

Step-by-step explanation:

The lower base will 18units.

What is trapezoid?

quadrilatral whose one opposite sides are parallel.

What is tangent of an angle?

The tangent of an angle is the ratio between the opposite side of the angle and the adjacent side of the angle.

tanθ=opposite side/adjacent side

So according to asked question

in the trpezoid VWXZ,

VW || XZ

Height of trapezoid= VZ =WY=8√3

VW=10

∠YWX=30°

∠WXY=60°

In triangle ΔWYX,

∠WYX=90°

ΔWYX is a right angle triangle

so, tan∠YWX= XY/WY

⇒tan30°=XY/8√3

⇒1/√3=XY/8√3

⇒XY=8√3/√3

⇒XY=8 units

the length of the lower base ZX= ZY+XY = VW+XY = 10+8=18units

Therefore the lower base will 18units.

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Find the slope intercept form of the equation of the line that passes through (-5,3) and is parallel to 12x-3y=10

Answers

Answer:

y=4x+23

Step-by-step explanation:

The slope-intercept form of the equation of the line that passes through (-5,3) and is parallel to 12x-3y=10 is y = 4x + 23.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Slope-intercept form:

y = mx + b, where m is the slope and b is the y-intercept.

And we have the given equation:

12x - 3y = 10

Arranging the equation as slope-intercept form.

3y = 12x - 10

Divide by 3,

y = 4x - 10/3.

And this line is parallel to the required line.

So, the slope of the required line;

m = 4

Hence, the slope-intercept form,

y = 4x+b  equation 1

To find y-intercept:

We substitute the value of x and y from the point (-5,3) to the slope-intercept form,

y = 4x + b

(3) = 4(-5) + b

b = 20 +3

b = 23

Now, the equation 1

y = 4x + 23

Therefore, y = 4x + 23 is the required slope-intercept form.

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The manager at Gabriela's Furniture Store is trying to figure out how much to charge for a book shelf that just arrived. The book shelf was bought at a wholesale price of $147.00 and Gabriela's Furniture Store marks up all furniture by 60 percent.
At what price should the manager sell the book shelf?

Answers

The manager should sale the bookshelf for $235.20

Step-by-step explanation:

Wholesale price of book shelf = $147.00

Mark up = 60% of original price

[tex]Mark\ up=\frac{60}{100}*147.00\\\\ Mark\ up=\frac{8820}{100}\\Mark\ up=\$88.20[/tex]

Total = Wholesale price + Mark up

[tex]Total= 147.00+88.20\\Total=\$235.20[/tex]

The manager should sale the bookshelf for $235.20

Keywords: mark up, percentage

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The volume of one cube is 1/216 times the volume of the second cube. How many more times
is the length measurement of the second cube?
A 21 times
B 16 times
C 6 times
D 4 times

Answers

Answer:

c 6 times that the answer

Final answer:

The second cube's side length is 6 times that of the first cube because the volume of a cube is a cubic function of its side length, and taking the cube root of 1/216 gives us 1/6.

Explanation:

The student's question is asking to determine how many times larger the side length of the second cube is compared to the first cube, given that the volume of the first cube is 1⁄216 times the volume of the second cube. The volume of a cube is calculated by raising the side length to the third power (V = s3). Therefore, if we denote the side length of the first cube as s and that of the second cube as S, we have s3 = 1⁄216S3. To find the side length ratio, we take the cube root on both sides of the equation, yielding s = 1⁄6S, which means the second cube's side length is 6 times that of the first cube.

The correct answer to the question is C, 6 times

Find the three consecutive integers such that three times the largest increased by two is equal to five times the smallest increased by three times the middle integer.

Answers

The smallest integer is 1 and middle integer is 2 and largest integer is 3

Solution:

Given that , three times the largest increased by two is equal to five times the smallest increased by three times the middle integer.

We have to find the three consecutive integers

So, let the smallest integer be n, then the next two consecutive middle and largest integers will be n + 1, n + 2 respectively

Then, by the given statement,  

Three times the largest increased by two is equal to five times the smallest increased by three times the middle integer.

[tex]\begin{array}{l}{3 \times (n+2)+2=5 \times n+3 \times (n+1)} \\\\ {3 n+6+2=5 n+3 n+3} \\\\ {8=5 n+3} \\\\ {5 n=8-3} \\\\ {n=1}\end{array}[/tex]

Thus the smallest integer = n = 1

Middle integer = n + 1 = 1 + 1 = 2

Largest integer = n + 2 = 1 + 2 = 3

Final answer:

We defined three consecutive integers as x, x+1, and x+2. By setting up the equation based on the given condition and solving for x, we find that the three consecutive integers are 1, 2, and 3.

Explanation:

Let's define the three consecutive integers we are looking for as x, x+1, and x+2, where x is the smallest integer, x+1 is the middle integer, and x+2 is the largest integer.

The problem states that three times the largest increased by two is equal to five times the smallest increased by three times the middle integer. This gives us the equation:

3(x+2) + 2 = 5x + 3(x+1)

Now, simplify and solve for x:

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

6x + 8 = 8x + 3

Subtract 6x from both sides:

8 = 2x + 3

Subtract 3 from both sides to isolate the term with x:

5 = 2x

Divide both sides by 2 to solve for x:

x = 5/2 = 2.5

Since x has to be an integer, this approach shows that we've made a mistake in our calculation. Let's try again:

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

3x + 8 = 8x + 3

5 = 5x

x = 1

So the three consecutive integers are 1, 2, and 3.

The circumference of a circle is 35 pi. What is the diameter?

Answers

Answer:

Diameter is 11.14

Step-by-step explanation:

c=dπ

so... 35=dπ

 solve for d:

      35/π=d

11.14=d

Answer:

11.14

Step-by-step explanation:

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