Solve for x in the diagram below.

Answer:

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2.

15^2+ b^2=25^2

225+b^2= 625

b^2=400

b= 20 or x=20

Answer:

x = 20

Step-by-step explanation:

This is a right triangle and we know 2 of the points so we can use the Pythagorean Theorem to solve.  The formula for the Pythagoreom Theroem is a^2 + b^2 = c^2. Side a is 15 and Side b is x. Side c or the hypotenuse is 25. Let's solve for side b:

a^2 + b^2 = c^2

15^2 + b^2 = 25^2

225 + b^2 = 625

Subtract 225 from both sides to get b^2 alone.

b^2 = 625 - 225

b^2 = 400

Find the square root of both sides.

b = 20 or x =  20

Would appreciate it if you gave me brainliest answer :)

Area of a circle = PI x r^2

Area of sheet = 22/7 x 18^2 = 1,018.29 square cm.

Area of small circle = 22/7 x 4.5^2 = 63.64 square cm.

There are 2 small circles so total area of the circles are 63.64 x 2 = 127.28 square cm.

Area of rectangle = l x w = 4 x 1 = 4 square cm.

Total area of cutouts = 127.28 + 4 = 131.28 square cm.

Area of sheet left, subtract area of cutouts fro area of sheet:

1018.29 - 131.28 = 887.01 square cm.

Round everything as needed.

Answer:

x=11.2

Step-by-step explanation:

Add the equations.

-10y=40

y=-4

input y

5x-8=48

5x=56

x=56/5

x=11.2

Answer:

x = 11.2 and y = -4

Step-by-step explanation:

Add the two equations

-5x -12y = -8

5x+2y = 48

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

-10y = 40

Divide by -10

-10y/10 = 40/-10

y = -4

5x+2y = 48

5x +2(-4) = 48

5x -8 = 48

Add 8 to each side

5x = 56

Divide by 5

5x/5 = 56/5

x = 56/5

x =11.2

Answer:

1 1/2 mile.

Step-by-step explanation:

There is 60 minutes in an hour, 60/20 is 3. 1/2*3=1.5

Answer:

1 1/2 miles or 3/2 miles

Step-by-step explanation:

We can represent the person's walking rate as the ratio 1/2 mile : 20 minutes. Since we can multiply both sides of a ratio without changing the rate, we can rewrite it as ---> 3*(1/2) miles : 3*20 minutes = 3/2 miles : 60 minutes =

1 1/2 miles : 1 hour

An alternative way would be to convert 20 minutes into 1/3 of an hour. We can set up an equation:

mph * 1/3 hour = 1/2 mile

Therefore, the mph must be 1/2 divided by 1/3, because we are multiplying by 1/3, and division is the opposite of multiplication.

mph = (1/2)/(1/3) = (1/2) * 3 = 3/2 or 1 1/2

Answer: 360 degrees

Step-by-step explanation:

You are given a convex polygon that has 7 sides and one angle at each vertex.

The sum of the measure of external angle of a polygon Inrespective of the number of sides of the polygon will always be equal to 360 degree.

Therefore, the sum of the measure of its exterior angles is 360 degrees

Answer:

Hey there!

She wants an 93, so we write the equation: [tex]\frac{87+96+98+90+92+x}{6}=93[/tex]

Multiply both sides by 6 to get: [tex]87+96+98+90+92+x=558\\[/tex]

Simplify: 463+x=558

Subtract 463 to get that x=95.

Thus, she must score a 95 to get a A as a final grade.

Hope this helps :)

Answer:

Sally must get 95% in her sixth test!

Step-by-step explanation:

To get an average of 93 over 6 tests, the total must be

6*93 = 558

Therefore the sixth test she must get

S = 6*93 - 87 -96 -98 -90 -92 = 95

Answer:

Step-by-step explanation:

I

Answer:

x=8

Step-by-step explanation:

x2=x*x

Plug in 8

8*8=64

64=16(8)-64

64=128-64

64=64

Answer:

$936

Step-by-step explanation:

We have to take the interest, 4%, and multiply it by 150 which equals 6. Since there are 6 months left in the year, we multiply this number by 6 which gets us 36. Next, we have to take the amount that Zachary puts in the account each month, $150, and multiply it by 6 months which equals to $900. Finally, we add the total amount of interest, $36, and the total amount of money he puts in during the year, $900.

Answer:

when the distance driven per day is 100 miles

Step-by-step explanation:

Start by writing an equation for the daily charge of each company

Let's call p(x) what the primo car rental charges per mile "x", and let's call u(x) what ultimo rental charges;

p(x) = 24 + 0.4 x

u(x) = 38 + 0.9 x

when would u(x) be twice the p(x) charge?

u(x) = 2 p(x)

38 + 0.9 x = 48 + 0.8 x

0.9 x - 0.8 x = 48 - 38

0.1 x = 10

x = 100

so, such happens when the distance driven per day is 100 miles

Answer:

C

Step-by-step explanation:

24.75

Answer:

[tex]\boxed{35\°}[/tex]

Step-by-step explanation:

Angle 1 is 55 degrees.

The whole angle of the upward left corner is 90 degrees.

[tex]90-55=35[/tex]

Corresponding angles are equal. The 35 degrees angle and angle 2 are corresponding angles.

Angle 2 is 35 degrees.

Answer:

$5.30

Step-by-step explanation:

2 hamburgers = 2 ( 1.75)  = 3.50

1 milkshake =   1.80

Add them together

3.50+1.80 = 5.30

Answer:

5.80

Step-by-step explanation:

Given:

Price of hamburger=1.75

"of Hot dog=1.25

"of French fries=0.95

"of Milkshake=1.80

"of Soda pop=0.75

Required:

The cost to order 2 hamburgers and a milkshake from the menu shown=?

Formula:

2(Hamburger)+1(Milkshake)=Cost

Solution:

2(1.75)+1(1.80)=5.30

3.5+1.80=5.30

Hope this helps ;) ❤❤❤

Answer:

Jordan weighs 120 pounds, Sam weighs 60 pounds

Step-by-step explanation:

We can create an equation 2s=J. Our second equation is S+J=180. We can substitute J for 2s and our new equation will be 3s=180. We can divide 3 from both sides and we get s= 60. And we know that Jordan weighs two times as sam, then Jordan weighs 120 pounds.

Answer: Jordan=120. Sam=60

Step-by-step explanation: Together they weigh 180 pounds Jordan weighs twice as much as sam. We can write their values as Sam=x and Jordan=2x then we can make a equation

2x+x=180

3x=180

x=60

Then we can substitute x in Jordan and sams values to get our final answe;

Jordan=120. Sam=60

Answer: the correct answer is W or the first one

Step-by-step explanation:

All you do is transform the graph :)

I hope I helped, if i did please mark brainliest!! Thank you!!

Answer:

1) There are 26 letters in the alphabet.  Thus, 27 people must be chosen because otherwise there could be 1 person per initial.

2) There are 7 days in a week.  Thus, if the first 7 had their birthdays on every day of the week, the 8th person must share a birthday on the same day of the week as another.

3) A phone number can contain 0,1,2,3,4,5,6,7,8,9.  Thus, if the first 10 people have a phone number that ends with each digit, the 11th must share it, as there are no unique options.

4)  100/2 = 50.  Thus, the minimum each bag could have is 50.

5) 19/3 > 6.  The maximum number you could get with numbers less than seven is 6,6,6 = 18.  18<19.  Thus, you need a number 7 or greater.

6) The worst scenario that could happen here is that you grab 8 German books, 10 French books, and 12 Spanish, Russian and Italian books.  This would be 54 books.  Thus, with the 55th book, you must have gotten 12 of at least one subject.  Thus, the answer is 55 books.

7) This is vague.  If she cannot repeat any of the three jokes in the triplet, then she must have 36 jokes for this to be possible, because 12*3=36

8) Each of the remaining 29 students made less than 12 mistakes.  Even if 2 students made 11,10,9,8,7,6,5,4,3,2,1 mistakes, there would still be multiple students left that would have made 11,10,9,8,7,6,5,4,3,2, or 1 mistake(s), meaning that at least 3 students made the same amount of mistakes.

9) 465/95 = about 4.9.  Thus, each table could have less than 6 seats, so we cannot be sure.

Hope it helps <3

Step-by-step explanation:

4.

Bags contain x and y numbers of marbles.

x + y > 100

The least number that is more than 100 is 101.

If x and y are both less than 51, then you have at most a total of 100 marbles.

To have 101 marbles, you must have one bag with at least 51 marbles, and the other bag with the rest. Neither bag must have at least 50 marbles. You can have 1 and 100, but that is still more than 50 marbles in one bag.

6.

You are looking for 12 books in the same language. Let's say you start by picking all 10 French books and all 8 German books. You are up to 18 books. There are no more French or German books, so you can't get to 12 books in one language with those. Now you pick 11 Spanish books, 11 Russian books, and 11 Italian books. That is another 33 books, and still no 12 books in one language. You already picked 18 books + 33 books = 51 books. The very next book must be a Spanish book or a Russian book or an Italian book, and it will make the 12th book of that language. You need to pick 52 books to be sure you have 12 of the a single language.

Answer: 52 books

7.

You need enough jokes to have 12 different combinations of 3. This is a case in which order does not matter.

If you have 3 jokes, named A, B, and C, you only have enough for 1 year, since ABC, ACB, BAC, BCA, CAB, and CBA are all the same triple of jokes.

This is a combination problem.

nCk = (n!)/[k!(n - k)!]

We know we need more than 3 jokes. Let's try 4.

n = 4

nCk = (4!)/[3!(4 - 3)!]

nCk = 4

We need 12, so 4 is not enogh.

n = 5

nCk = (5!)/[3!(5 - 3)!]

= 5 * 4/2

= 10

Now enough.

Try n = 6

nCk = (6!)/[3!(6 - 3)!]

= 20

With 6 different jokes, you can make 20 different triplets, so there is no need to repeat any triplet in 12 years.

Answer: 6 jokes

Answer:

x=7

Step-by-step explanation:

15+14+14+11=54

75-54=21

21/3=7

Answer:

x = 7ft

Step-by-step explanation:

Turn it into an equation:

x + 15 + 14 + 14 + 2x + 11 = 75

3x + 54 = 75

3x = 21

x = 7ft

Answer: Experimental probability

Step-by-step explanation:

Probability helps us to know the chances of an event occurring. The sample space will have 4 outcomes.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that Jill has two dimes she is going to use to perform a probability experiment. The sample space looks as if she flips the two dimes simultaneously​ as shown below. The sample space will have 4 outcomes.

Learn more about Probability:

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Answer:

tan (30°) = b/5

Step-by-step explanation:

this is the answer

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

Explanation:

We have 12*11*10 = 1320 permutations possible. This is where order matters. However, order does not matter with swim teams as there are no positions or ranks. All that matters is the group overall (rather than any individual in the group).

Consider the set {A,B,C}. We have 3*2*1 = 6 ways to arrange this set of letters. When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC. Therefore, we divide 1320 over 6 to get the final answer of 1320/6 = 220.

---------

You can use the combination formula with n = 12 and r = 3. Doing so will give the following:

[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{12} C _3 = \frac{12!}{3!*(12-3)!}\\\\_{12} C _3 = \frac{12!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10*9!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10}{3!}\\\\_{12} C _3 = \frac{12*11*10}{3*2*1}\\\\_{12} C _3 = \frac{1320}{6}\\\\_{12} C _3 = 220\\\\[/tex]

As you can see, we get the same result and note how 1320/6 is also present as well.

The greatest number of different 3-person teams that can be chosen is 220.

We can use combinations for this case,

The Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

Consider the set {A,B,C}.

3*2*1 = 6 ways to arrange this set of letters.

When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC.

We can use the combination formula with n = 12 and r = 3.

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.\\\\^{12}C_3= \dfrac{12!}{3! \times (12-3)!} ways.\\\\\\^{12}C_3= \dfrac{12!}{3! \times (9)!} ways.\\\\^{12}C_3= \dfrac{12 \times 11 \times 10 \times 9}{3! \times (9)!} ways.[/tex]

1320/6 = 220

Thus, the greatest number of different 3-person teams that can be chosen is 220.

Learn more about combinations and permutations here:

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Answer: 5.6 ≤ x ≤ 24.13.

Step-by-step explanation:

Given, The graph of the function[tex]P(x) = -0.74^2 + 22x + 75[/tex] . The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands.

In graph , On axis → number of calculators produced

On y-axis →  profit made in thousands of dollars.

From the graph, the curve goes for y > 175 from x = 5.6 to x= 24.13 ( approx)

So, the reasonable constraints for the model 5.6 ≤ x ≤ 24.13.

So, If the company wants to keep its profits at or above $175,000, reasonable constraints for the model 5.6 ≤ x ≤ 24.13.

The constraint that is reasonable for the model is: 5.6 ≤ x ≤ 24.13.

Functions are the connection between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
To keep the profits at or above $175,000, we need to solve the inequality P(x) ≥ 175. Let's substitute P(x) with its expression and solve for x:

P(x) = −0.74x² + 22x + 75

−0.74x² + 22x + 75 ≥ 175

−0.74x² + 22x − 100 ≥ 0

0.74x² − 22x + 100 ≤ 0 (dividing by -1 and changing the direction of the inequality)

Now we can solve this quadratic inequality by finding the zeros of the corresponding quadratic equation:

0.74x² − 22x + 100 = 0

Solving this equation, we get x = 5.6 and x = 24.13.

So, the solution to the inequality is 5.6 ≤ x ≤ 24.13.

Therefore, the constraint that is reasonable for the model is: 5.6 ≤ x ≤ 24.13.

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Answer: 0.4693877

Step-by-step explanation:

Given that:

cos x=−6/7,

From trigonometry :

Cosx + sinx = 1

Cos2x = cos(x + x)

Recall the double angle identity:

Cos2x = 2cos^2x - 1

Sin2x = 1 - 2sin^2x

Since cosx = - 6/7

Then

Cos2x = 2cos^2x - 1

Cos2x = 2cosx^2 - 1

Cos2x = 2(-6/7)^2 - 1

Cos2x = 2(36/49) - 1

Cos2x = 2 * (72/98) - 1

Cos2x = (2 * 0.7346938) - 1

Cos 2x = ( 1.4693877 - 1)

Cos2x = 0.4693877

Answer:

y=MX+b

Step-by-step explanation:

b is your y intercept

m is your slope

Answer:

so first start at the origin which is point (0,0). Go up the y-axis 7 points if the graph is scaled by 1s-- do this because the y intercept is point (0,7). Next count 3 points up and one point to the left since the slope of the graph is negative 3. Continue to go up three points and one point to the left until you cannot do so. To go the other way and finish the graph go back to your y intercept (0,7) and go three points down and one point to the right. Continue to do so until there's no more points on the graph and you're done!

Answer:

  A) True

Step-by-step explanation:

The ordered pair for the first expression is ...

  y = f(x)

  -3 = f(1)

  (x, y) = (1, -3)

The ordered pair for the second expression is ...

  y = f^-1(x)

  1 = f^-1(-3)

  (x, y) = (-3, 1)

The second ordered pair is the reverse of the first, so represents a point described by the inverse function. The statement is True.

Answer:

Step-by-step explanation:

B=3x-2

C=12x+2

D=B=3x-2 (Vertically opposite angles)

A=?

Now; we know, A+B+C+D=360 deg.

=>A=360-(B+C+D)

  =360-(3x-2+12x+2+3x-2)

  =360-(18x-2) ----[1]

B+C=180 deg. (linear pair)

=> 3x-2+12x+2=180

=> 15x=180

=> x=180/15

   =12 ---[2]

subsitute [2] in [1];

=> A= 360-(18x-2)

   = 360-(18*12-2)

   = 360-(116-2)

   = 360-214

   = 146 deg.

So, the correct answer is (D).

Hope the answer is useful.  

Answer:

Step-by-step explanation:

Given,

< B = 3x - 2

<C = 12x + 2

Let's find the value of X

<B + < C = 180° ( sum of angle in straight line)

plug the values

[tex]3x - 2 + 12x + 2 = 180[/tex]

Collect like terms

[tex]15x - 2 + 2= 180[/tex]

Since, two opposites add up to zero, remove them from the equation

[tex]15x = 80[/tex]

Divide both sides of the equation by 15

[tex] \frac{15x}{15} = \frac{80}{15} [/tex]

Calculate

[tex]x = 12[/tex]

Replacing value,

<C = 12x + 2

plug the value of X

[tex] = 12 \times 12 - 2[/tex]

Multiply the numbers

[tex] = 144 + 2[/tex]

Calculate the difference

[tex] = 146[/tex]

The measure of <C is 146°

Here,

<A = < C ( being vertically opposite angles)

Vertically opposite angles are always equal.

<A = 146

Hence, Option D is the correct answer.

Hope this helps...

Best regards!!

Answer:

2/52 or 1/26 or 0.0385 or 3.85%

Step-by-step explanation:

There are 2 black 10's in a standard 52 card deck.

2/52 or 1/26 or 0.0385 or 3.85% (depending on how your teacher wants it expressed)

Answer:

There is a typo! Please fix this so I can answer

Step-by-step explanation:

Complementary angles add together to equal 90 degrees.

R = 90 - 33.8

R = 56.2 degrees.

Answer:

the 2 equations are on top of each other, they are the same line

which means it is consistent, dependent, infinite

Step-by-step explanation:

the second equation is just 4 times the first equations.