use the figure and the Pythagorean theorem to write the equation relating e, b and (w-x)​

Answer:

4,130

Step-by-step explanation:

4780-650=4130 ft

Answer:

3

Step-by-step explanation:

The number line is showing x>3.

If the circle were closed it would be x≥3.

Answer:

3.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the amount invested for a particular period of time at an interest rate, the equation that can model the Interest achieved on investment is expressed using the simple interest formula as shown;

Simple Interest = PRT/100 where;

P is the principal (amount invested)

R is the rate (in %)

T is the time (in years)

From the equation I = PRT/100, we need to express tht time T as a function of the rest of the variable as shown;

I = PRT/100

cross multiply

100I = PRT

Divide both sides by PR

100I/PR = PRT/PR

100I/PR = T

Hence the the time it takes to earn a certain amount of interest on a principal amount in an investment with simple interest is expressed as

T = 100I/PR

Answer:

expanded form:  x= (159)/(10) decimal form: 15.9 mixed number form: x= 15(9)/(10) hope im right

Answer:

8 feet = L

Step-by-step explanation:

The period T(in seconds) of a pendulum is given by T=2 pi root L over 32

T= 2π√(L/32)

where the L stands for Length(in feet) of the pendulum.

If π= 3.14, and the period is 3.14 seconds

Length will be

T= 2π√(L/32)

3.14= 2*(3.14)√(L/32)

(3.14/3.14)/2= √(L/32)

(1/2)²= L/32

1/4 = L/32

32/4= L

8 feet = L

Answer:

Hey there!

There are 13 clubs in a deck of cards.

There are 4 tens.

However, the tens overlap with the clubs, so there are 16 cards to choose.

16/52=4/13

Let me know if this helps :)

The events are mutually inclusive. Option B is correct because the required probability is [tex]\dfrac{4}{13}[/tex].

Important information:

A deck of cards has total 52 cards, which includes 4 suits and each suit has 13 cards. If S be the sample space, then n(S) = 52.

Let A be the event that the card is a club card and B be the event that it is a ten card.

The number of club cards is 13. So, n(A) = 13.

There are 4 cards of 10. So, n(B) = 4.

One ten card is of club. So, [tex]n(A\cap B)=1[/tex].

Since [tex]n(A\cap B)=1\neq 0[/tex], therefore the events are mutually inclusive.

The number of club or a ten card is:

[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]

[tex]n(A\cup B)=13+4-1[/tex]

[tex]n(A\cup B)=16[/tex]

Now,

[tex]P(A\cup B)=\dfrac{n(A\cup B)}{n(S)}[/tex]

[tex]P(A\cup B)=\dfrac{16}{52}[/tex]

[tex]P(A\cup B)=\dfrac{4}{13}[/tex]

Therefore, the probability of choosing a card from a deck of cards that is a club or a ten is [tex]\dfrac{4}{13}[/tex]. Hence, option B is correct.

Find out more about 'Probability' here:

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Answer:

x = 36°

Step-by-step explanation:

The sum of the exterior angles of a pentagon is always 360°. Since the pentagon is regular, meaning that all of its sides and interior angles are congruent, we know that all of the exterior angles are also congruent. Since a pentagon has 5 sides, we know that there are 5 congruent exterior angles, therefore:

5 * 2x = 360

10x = 360

x = 36°

The value of x in the Pentagon is 36.

Option D is the correct answer.

A pentagon is a polygon that has five sides and five angles.

The sides and angles of a pentagon are not all equal unless it is a regular pentagon.

A regular pentagon has five equal sides and five equal angles.

We have,

The sum of the exterior angles of any polygon is 360 degrees.

Since a regular pentagon has 5 sides, the sum of its exterior angles is 360 degrees.

Each exterior angle of a regular pentagon has a measure of:

= 360 degrees / 5

= 72 degrees

We are given that one exterior angle of the pentagon has a measure of (2x) degrees.

2x = 72

Solving for x.

x = 36

Therefore,

The value of x is 36, and the measure of the given exterior angle.

= (2x)

= 72 degrees.

Thus,

The value of x is 36.

Learn more about the Pentagon here:

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Answer:

A. 2(16 + 12)

Step-by-step explanation:

If we look at choice A, it says 2 times 16 + 12.

When we solve this, 2 × 16 = 32 + 2 × 12 = 24, we get 32 + 24 because we used the distributed property on answer A.

The correct statement will be;

⇒ 8 (4 + 3)

Option C is true.

What is Distributive property?

By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.

Given that;

The expression is,

⇒ 32 + 24

Now,

The greatest common factor of 32 and 24 = 8

So, We can take 8 as common factor, we get;

⇒ 32 + 24

⇒ 8 x 4 + 8 x 3

⇒ 8 (4 + 3)

Thus, The correct statement will be;

⇒ 8 (4 + 3)

Option C is true.

Learn more about the distributive property visit:

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Answer:

let me calculate it

Step-by-step explanation:

and then i will tell you if i can answer it

The points b, c, and a contains 3 planes.

Here,

Given that;

The figure is shown.

We have to find number of planes contains points b, c and a.

What is Planes?

Plane is a flat, two-dimensional surface that extends infinitely far.

Now,

The point b contain planes ABGD, ABCL and BLD.

The point c contain planes ACG, ABLC and CGDL.

The point a contain planes ACLB, ABDG and ACG.

Hence, The points b, c, and a contains three planes.

Learn more about the planes visit:

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Answer:

Hey there!

The correct answer would be a line from the point (0, 0) to the point (4, 2).

Let me know if this helps :)

Answer:

140.8 football fields.

Step-by-step explanation:

8 miles = 8 * 1760 yard.

So the number of football fields that he ran

= (8 * 1760) / 100

= 8 * 17.6

= 140.8.

Answer:

c = 8

Step-by-step explanation:

3/6=4/c

Cross products

3c = 6*4

3c = 24

Divide each side by 3

3c/3 =24/3

c = 8

Answer:

The sample range is 2.61.

Step-by-step explanation:

We are given the following grade-point averages which apply to a random sample of graduating seniors below;

3.81, 2.73, 2.51, 3.09, 3.28, 3.51, 2.86, 1.20, 3.13, and 3.24.

As we know that the range of the data is calculated bu using the following formula;

               Range = Highest value in the data - Lowest value in the data

Here, Highest value = 3.81

          Lowest value = 1.20

So, the sample data range = 3.81 - 1.20

                                              = 2.61.

6.458 = 6 + 0.4 + 0.05 + 0.008

Each blank slot is filled with a digit from the original number. The zeros are placeholders to make sure we have the right alignment.

Answer:

Step-by-step explanation:

6.458

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

6.000

0.400

0.050

0.008

6.458 = 6.000 + 0.400 + 0.050 + 0.008

trailing zeros can be omitted

Answer:

55mph . None of the options are correct

Step-by-step explanation:

If the speed varies inversely as the time it takes to drive, then v ∝ 1/t. where;

v is the speed

t is the time taken

Hence;

v = k/t with k being the constant of proportionality.

Since it takes Kris 5 hours when driving at 55 mph, we will substitute v = 55mph and t = 5 hours. into the equation above to get the value of k as shown:

55 = k/5

Cross multiply

k = 55*5

k = 275

Hence, to calculate the speed it will Martin to  drive for 5 hours, we will substitute k = 275 and t = 5 into the original equation v = k/t  as shownl

v = 275/5

v = 55 mph

Hence, we can conclude that Martin will also need to drive at a speed of 55mph if he wants to take 5hours.

Answer:

Volume A = one third(Volume B)

Step-by-step explanation:

I just took the test

Answer:

Volume A = one third(Volume B)

Step-by-step explanattyy

Answer: 20, -7, and -3

Step-by-step explanation:

`1.) 15 plus 8 is 23

23 minus 3 equals 20

2.) -25 plus 5 equals -20

-20 plus 13 is -7

3.) i can see the last one to show work

l = 16 feet

w = 3 feet

A = l×w

l = 10+2w

48 = (10 + 2w)w

48 = 10w + 2w² | : 2

24 = 5w + w²

w² + 5w - 24 = 0

w² + 8w - 3w - 24 = 0

w(w + 8) - 3(w + 8) = 0

(w - 3)(w + 8) = 0

w - 3 = 0 => w = 3 feet

w + 8 = 0 => w = - 8 ∉ N

l = 10 + 2w

l = 10 + 6

l = 16 feet

A = l×w = 16ft×3ft = 48ft²

Answer:

I am almost positive it is 9.729

Step-by-step explanation:

my teacher used to say 4 or less let it rest, 5 or more raise the score. In this situation it is 2 so leave it be and that’s your answer. Also, 9.7 is tenths, 9.72 is hundredth, which means 9.729 is thousanths.

Answer: 9.729

Step-by-step explanation:

my teacher used to say 4 or less let it rest, 5 or more raise the score. In this situation it is 2 so leave it be and that’s your answer. Also, 9.7 is tenths, 9.72 is hundredth, which means 9.729 is thousanths.

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{67+72+63+77+59+75}{6} \\\\\frac{413}{6} \\\\68.833333 or 68.8[/tex]

Answer:

D

Step-by-step explanation:

Triple means 3 times something. "Times" means multiplication and the "something" is h so the answer is 3 * h = 3h.

Greetings from Brasil...

We have to remember 2 details:

→ When X = 0, the function intersects the Y axis

→ When Y = 0, the function intersects the X axis

So

1: X = 0

Y = X + 5

Y = 0 + 5

Y = 5

X = 0 and Y = 5 ⇔ (0; 5)

2: Y = 0

Y = X + 5

0 = X + 5

X = - 5

Y = 0 and X = - 5 ⇔ (- 5; 0)

Then the point at which the graph intersects the X and Y axis will be

(0; 5) and (- 5; 0)

Answer: D

Step-by-step explanation:

Since we are given that the x value is -1, we can eliminate A and C because the -1 is in the y coordinate.

To find the proper y value, we plug x into the equation.

y=-2x+5                                                 [plug in x=-1]

y=-2(-1)+5                                              [multiply -2 and -1]

y=2+5                                                    [add 2 and 5]

y=7

Now that we have the y value, we know the coordinate (-1,7) which makes D the correct answer.

Answer:

Select option D.

Step-by-step explanation:

Notice the input is n and the output is n+4. This simply means you add 4 to the input value. So,

-3 + 4 = 1

1 + 4 = 5

6 + 4 = 10

Cheers.

Answer:52

Step-by-step explanation:

How many times can 8 go into 4. 0 so how many times can 8 go into 41 without going over 41.

8 x 5 = 40

41 - 40 = 1

bring down the next number which is 6

16 how many times can 8 go into 16, 2.

8 x 2 = 16

16 - 16 = 0

Start with the first number inside the division bracket (4). Because 8 can't go into 4, include the second number in the division bracket (1). Because 8 can go into 41 with a whole number, put a 5 above the bracket and subtract the value of 5*8 from 41. You should get 1. Then, bring down the 6 to form 16. Because 8 can evenly go into 16 twice, put a 2 next to the 5 above the bracket. Multiply 2*8 and subtract the value from 16.

Answer:

x = -3

Step-by-step explanation:

16x − 4 + 5x = -67

Combine like terms

21x -4 = -67

Add 4 to each side

21x-4+4 = -67+4

21x = -63

Divide each side by 21

21x/21 = -63/21

x = -3

Answer:

[tex]\huge \boxed{x = -3}[/tex]

Step-by-step explanation:

[tex]16x - 4 + 5x = -67[/tex]

Combine like terms.

[tex]21x - 4 = -67[/tex]

Add 4 to both sides.

[tex]21x = -63[/tex]

Divide both sides by 21.

[tex]x = -3[/tex]

Answer/Step-by-step explanation:

1. (7j³ - 2) + (5j³ - j - 3)

Open the parentheses

7j³ - 2 + 5j³ - j - 3

Collect like terms. Like terms are terms that have the same degree.

7j³ + 5j³ - j - 2 - 3 (7j³ and 5j³, have the same degree, 2 and 3 are if the same degree)

12j³ - j - 5 (this already in descending order)

2. (8a⁵ - 4) + (3a⁵ + a - 2)

Open parentheses

8a⁵ - 4 + 3a⁵ + a - 2

Collect like terms

8a⁵ + 3a⁵ + a - 4 - 2

12a⁵ + a - 6 (in ascending order from largest to smallest degree)

3. (6m² + 1) + (3a⁵ + a - 2)

6m² + 1 + 3a⁵ + a - 2

Collect like terms

6m² + 3a⁵ + a + 1 - 2

6m² + 3a⁵ + a - 1

Rearrange from largest to smallest degree

3a⁵ + 6m² + a - 1

4. (3m⁵ + 1) + (9m⁵ + 3m - 2)

3m⁵ + 1 + 9m⁵ + 3m - 2

Collect like terms

3m⁵ + 9m⁵ + 3m + 1 - 2

12m⁵ + 3m - 1

5. (- 5x² - x + 4) + (- 3x² - 5x + 2)

Open parentheses

-5x² - x + 4 - 3x² - 5x + 2

Collect like terms

-5x² - 3x² - x - 5x + 4 + 2

-8x² - 6x + 6