Mathematics College

(100) What’s the distance of all the sides combined, add the method.

Answers

Answer 1

Answer:

10cm2

Step-by-step explanation:

Answer 2

Answer:

As AE and BD intersect:

∠ACB and ∠ECD are vertically opposite angles and are therefore congruent.

As AB is parallel to ED:

∠BAC and ∠DEC are alternate interior angle and are therefore congruent.∠ABC and ∠EDC are alternate interior angle and are therefore congruent.

Therefore, we can use SSS Similarity Theorem to find the lengths of the sides:

[tex]\sf \dfrac{AC}{EC}=\dfrac{BC}{DC}=\dfrac{AB}{ED}[/tex]

[tex]\implies \sf \dfrac{400}{1000}=\dfrac{300}{ED}[/tex]

[tex]\implies \sf 400 \cdot ED=300 \cdot 1000[/tex]

[tex]\implies \sf ED=\dfrac{300000}{400}=750[/tex]

**The length of BC and CD cannot be determined without knowing an angle**

Therefore, the remainder of the calculations are based on the assumption that ∠BAC and ∠DEC are 90°

If ∠BAC = 90° then BC can be calculated using Pythagoras' Theorem

⇒ AB² + AC² = BC²

⇒ 300² + 400² = BC²

⇒ BC² = 250000

⇒ BC = 500

Using the side ratios stated previously:

[tex]\sf \dfrac{AC}{EC}=\dfrac{BC}{DC}=\dfrac{AB}{ED}[/tex]

[tex]\implies \sf \dfrac{400}{1000}=\dfrac{500}{DC}[/tex]

[tex]\implies \sf 400 \cdot DC=500 \cdot 1000[/tex]

[tex]\implies \sf DC=\dfrac{500000}{400}=1250[/tex]

Therefore, the distance of each side is:

AC = 400 mAB = 300 mBC = 500 mEC = 1000 mED = 750 mDC = 1250 m

Assuming the sides are the solid lines marked with arrows only:

⇒ Total distance = AB + BC + DC + ED

= 300 + 500 + 1250 + 750

= 2800 m

Related Questions

Consider a triangle ABC like the one below. Suppose that A = 30°, B = 125°, and a = 38. (The figure is not drawn to scale.) Solve the triangle.
Round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".

Answers

Answer:

C = 25°, b = 62.3, c = 32.1

Step-by-step explanation:

The Law of Sines can be used to solve a triangle when two angles and a side opposite one of them is given.

third angle

The angle sum theorem can be used to find the third angle.

C = 180° -A -B = 180° -30° -125° = 25°

unknown sides

The Law of Sines tells you ...

a/sin(A) = b/sin(B) = c/sin(C)

b = a(sin(B)/sin(A)) = 38·sin(125°)/sin(30°) ≈ 62.3

c = a(sin(C)/sin(A)) = 38·sin(25°)/sin(30°) ≈ 32.1

The solution is ...

C = 25°, b = 62.3, c = 32.1

A triangle has a base length of 2ac2 and a height 6 centimeters more than the base length. Find the area of the triangle if a = 4 and c = 2.

Answers

The area of the triangle with the given base and height where a = 4 and c = 2 is: 608 cm²

What is the Area of a Triangle?

Area = 1/2(base)(height).

Given the parameters:

Base length = 2ac² cmHeight = 2ac² + 6 cm

If a = 4 and c = 2, then:

Area = 1/2(base)(height) = 1/2(2ac²)(2ac² + 6)

Area = 1/2(2 × 4 × 2²)(2 × 4 × 2² + 6)

Area = 1/2(32)(38)

Area = 608 cm²

Learn more about the area of a triangle on:

https://brainly.com/question/21735282

#SPJ1

two numbers are in the ratio of 10:16 if the sum of numbers is 572 find the numbers.

with steps

Answers

hey there

The given ratio is 10:16

Let two number be 10x and 16x

Also given sum is 572

=> 10x+16x=572

=> 26x=572

=> x = 572/26 = 22

Now the first number is 10x = 10(22) = 220 and
Another number is 16x = 16(22) = 352

Hope this helps you dear ;)

Answer:

yo dude dont be upset im doing what you did lol!

Which of the following is not a type of electromagnetic radiation that telescopes can detect?
A. Microwave
B. Ultraviolet
C. Infrared
D. Heliocentric

Answers

Answer:

B I just got that question it was B

Let f(x)=x-3 and g(x)= x^2-x. Find and simplify the expression. (f+g)(2)

Answers

Answer:

(f+g)(2) = 1

Step-by-step explanation:

Given :

f(x) = x − 3

g(x) = x² − x

Note : (f+g)(x) = f(x) + g(x)

then

(f+g)(2) = f(2) + g(2)

= (2 - 3) + (2² - 2)

= -1 + 2

= 1

another method:

(f+g)(x) = f(x) + g(x) = x − 3 + x² − x = x² - 3

then

(f+g)(2) = 2² - 3 = 4 - 3 = 1

Find the sum of the whole numbers from 1 to 570

Answers

Answer:

162,735

Step-by-step explanation:

570(570 + 1)/2 = 162,735

Which number line represents the solution set for the inequality 3x < –9?

Answers

The answer is -3 and it will be going to the left with an open circle

Answer:

Step-by-step explanation:

Suppose you roll a special 9-sided die. What is the probability that the number rolled is a "1" OR a "2"?

Answers

Answer:

P(1 or 2) = 2/9

Step-by-step explanation:

OR means we add each probability

If it is 9-sided, I will assume the die will be numbered 1-9

Probability of getting a 1 in mathematical notation is:

P(1) = 1/9

Probability of getting 2:

P(2) = 1/9

We add their probabilities since we want to know if we get either 1 or 2

P(1) + P(2) = 1/9 + 1/9 = 2/9

If the question asked what the probability was of getting a 1 and a 2 by rolling the die twice, we would multiply the probabilities together

1/9 x 1/9 = 1/81

Geometry is so hard help me!

Answers

Answer:

x = 2√5

Step-by-step explanation:

Isosceles right angle triangles have two congruent sides ( for more reference , kindly check the attached image ) making it a special 45-45-90 degree triangle.

Special triangles have simple easy rules to help identify the lengths of the other sides lengths. For the 45-45-90 degree triangle, the hypotenuse (longest side) is equal to the value of the triangles leg(shorter sides) times √2 ( for more reference kindly check the other attached image )

Here, the value of the leg it equal to √10

If the value of the hypotenuse (x) = leg × √2

Then the value of x = √10 × √2

x = √10 × √2 = √(10 × 2) = √20

==> simplify radical

x = 2√5

The dot plot below shows the hourly rate of some babysitters in a city:

A number line is shown from 1 dollar to 7 dollars in increments of 1 dollar for each tick mark. The horizontal axis label is Dollar per hour. There are 4 dots above 4 dollars, 2 dots above 5 dollars, 3 dots above 6 dollars, and 1 dot above 7 dollars. The title of the line plot is Babysitting Rates.

Which statement best describes the shape of the data?

It is a cluster from $1.00 to $7.00 and has no gaps.

It is a cluster from $1.00 to $7.00 and has gaps.

It is not symmetric and has a peak at $4.00.

It is symmetric and has a peak at $7.00.

PLEASE JUST SAY A B C OR D DONT NEED TO EXPLAIN JUST PUT ONE AND YOU WILL GET BRAINLIEST :DDD

Answers

Answer:

It is a cluster from $1.00 to $7.00 and

has no gaps.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Select the correct answer.
A machine uses pieces of tape to seal packages. It cuts the tape Into pieces exactly 2.375 Inches long. If It uses 4 pieces of tape for a package,
how many packages can it seal with a roll of tape 1,900 Inches long?
OA
200 packages
OB. 400 packages
OC 600 packages
OD.
800 packages

Answers

Answer:

A. 200 packages

Step-by-step explanation:

The number of packages per roll can be found by dividing the length of a roll by the length of tape needed for each package.

For each package:

(2.375 in/piece)×(4 piece/package) = 9.5 in/package

Per roll:

(1900 in/roll) / (9.5 in/package) = (1900/9.5) packages/roll

= 200 packages/roll

The machine can seal 200 packages with a roll of tape 1900 inches long.

What is the range of this data set? {5, 12, 15, 11, 15, 7, 15, 10, 13}

8
10
12
15

Answers

Answer:

B) 10

Step-by-step explanation:

The range of a data set is found by subtracting the smallest term given in the set from the largest term given in the set. First, set the terms in order from least to greatest:

5 , 7 , 10 , 11 , 12 , 13 , 15 , 15, 15 ,

Subtract the greatest (15) with the least (5): 15 - 5 = 10

B) 10 is your answer.

Answer:

The answer is b) 10

Step-by-step explanation:

i took the test

How many numbers between 1 and 100 (inclusive) are divisible by 10 and 77?

Answers

Answer:

none

Step-by-step explanation:

The only number in the range 1 to 100 that is divisible by 77 is 77. It is not divisible by 10.

No numbers in the range 1 to 100 are divisible by both 10 and 77.

please help!!!!!

5) A box of chocolates contains four milk
chocolates and seven dark chocolates.
You randomly pick a chocolate and eat it.
Then you randomly pick another piece.
The first piece is milk chocolate and the
second piece is dark chocolate.
24
25
A)
≈ 0.264
B)
≈ 0.309
91
81
1-14-4
D) None of these
4
15
C)
E)
= 0.25
≈ 0.267
E

Answers

Answer:

D. none of these

Step-by-step explanation:

There are a total of 11 chocolates in the box.

The probability of picking milk chocolate first is 4/11.

Now that you eat one, there are 10 chocolates in the box.

The probability of picking a dark chocolate second is 7/10.

This is a compound probability problem, so multiply the two probabilities together.

4/11 x 7/10 = 28/110

Reduce by 2/2

14/55 = .2545

D. none of these

prove fermat's last theorem:no three positive integers a, b, and c satisfy the equation a^n + b^n = c^n for any integer value of n greater than 2

Answers

The proofing of Fermat's last theorem shows that y = a² - b², z = a² + b² and x = 2ab.

How to prove fermat's last theorem?

The equation x² + y² = z². We can assume that x, y, and z are positive and relatively prime. Suppose that x is even. Then:

(z - y/2)(z + y/2) = (x/2)²

Hence,

(z - y)/2 = b²

(z + y)/2 = a²

Then, y = a² - b², z = a² + b² and x = 2ab.

Learn more about theorem on:

brainly.com/question/343682

#SPJ1

what is the inverse of the following function: y-x^3=3

Answers

Answer:

f^-1(x)=[tex]\sqrt[3]{x-3}[/tex]

A percent is a rate in which the first term is compared to ______

Answers

Answer:

From what we know about percentages and unit rates, the correct options are:

1) 100

2) 1

What is a percent?

Suppose we have an amount A, this would be the 100%.

If we want to know how much a quantity B represents, compared to A, we have:

A = 100%

B = x

where x is a percentage, to find the value of x we compute:

x = (B/A)*100%

While there is a dependence on A, we actually are comparing the term with 100 (because A represents a 100%), so the correct option is A: 100

PLS MARK ME AS THE BRAINLIST!!!

What is the area of this rectangle?

52 sq ft
34 ft
42 sq ft
17 ft

Answers

Answer:

42 sq ft.

Step-by-step explanation:

[tex]A=w *l[/tex]

[tex]A=14 *3=42[/tex]

=42 sq ft

(note: i dont think it matters how you put the numbers, they still mulitply up to 42)

Hope this helped

~rere

In parallelogram JKLM if LJ=28 find LN.

Answers

Answer:

LN = 14

Step-by-step explanation:

In parallelogram diagonals bisect each other. That means that one diagonal cuts the other in half.

LJ is the diagonal and LN is a half of the diagonal.

[tex]\text{LN} = \frac{28}{2} = 14[/tex]

verify the identity algebraically. Start on one side of the equation and manipulate using techniques to arrive at the other side

sin^2 − sin^4 = cos^2 − cos^4

Answers

Answer:

Step-by-step explanation:

sin^2 − sin^4 = cos^2 − cos^4

sin^2 (1-sin^2) = cos^2 − cos^4

sin^2 (cos^2) = cos^2 − cos^4

(1-cos^2) (cos^2) = cos^2 − cos^4

cos^2 − cos^4 = cos^2 − cos^4

Which is True :33 Send love

Please help me please please

Answers

Answer:

[tex]x \leqslant 4[/tex]

Goodluck

Step-by-step explanation:

X is smaller than or equal to 4

WILL GIVE BRAINLIEST 50 POINTS
1. Are the side lengths congruent?

2. Are the opposite sides parallel?

3. Are the adjacent sides perpendicular?

Answers

Answer:

1:If three pairs of sides of two triangles are equal in length, then the triangles are congruent. ASA (angle-side-angle): If two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent. 2:All sides are equal in length. Diagonals bisect each other at a 90-degree angle. The sum of any two adjacent interior angles is 180 degrees. Opposite sides are equal and parallel to each other.3:Each pair of opposite sides is parallel, and adjacent sides are perpendicular. This means that every angle in a rectangle is a right (90∘) angle.

Step-by-step explanation:

Which number line shows the N equality n <= -1?

Answers

Number line equality to -5< =< -1

In which of the following expressions does the number 2 fill in the blank so that the equation is true? Select all that apply.

A) 5(___ + 4) = 10 + 20
B) 9(3 + ___) = 27 + 18
C) 3(2 + 5) = ___ + 15
D) ___(5 + 6) = 10 + 12

Answers

Answer:

except c all

Step-by-step explanation:

because

5(2+4)=10+20

30=30

9(3+2)=27+18

45=45

2(5+6)=10+12

22=22

Answer:

except c all

Step-by-step explanation:

because

5(2+4)=10+20

30=30

9(3+2)=27+18

45=45

2(5+6)=10+12

22=22

2*5-1/2*10*9 answer will be 45

Answers

Sure if that’s the case

binomial distribution

Answers

Answer:

Using the binomial distribution, it is found that

P(X > 3) = 0.0256

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, with p probability.

[tex]P(X = x) = C_{n, x} * p^{x} (1 - p)^{n- x }[/tex]

[tex]C_{n, x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n, x} = \frac{n!}{p!(n - x)!}[/tex]

Binomial distribution:In this question, we have that n = 4, p = 0.4The desired probability is:

P(X > 3) = P(X = 4) since it above next whole number above 3

In which

[tex]P(X = x) = C_{n, x} * p^{x} (1 - p)^{n- x }[/tex]

[tex]P(X = 4) = C_{4, 4} * (0.4)^{4} (1 - 0.4)^{4 - 4}\\C_{4, 4} = \frac{4!}{4!(4 - 4)!}\\\\P(X = 4) = \frac{4!}{4!(0)!} * (0.4)^{4} (0.6)^{0}\\[/tex]

Then

P(X > 3) = P(X = 4)

P(X > 3) = 0.0256

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

Given, n = 4, p = 0.4

in your calculator:

press 2nd - DISTR

scroll down to A: binompdf( - press enter

type in # of trials (n), P: (probability), and x value (successes)

press enter on Paste

press enter again

excel/sheets:

BINOMDIST(num_successes, num_trials, prob_success, cumulative)

=BINOMDIST(4, 4, 0.4, FALSE

A similar problem is given at brainly.com/question/15557838

I have also attached notes on The Binomial Distribution below

Let me know if you have any questions !

Hope this helps :)

Express this ratio as a fraction in simplest form. For homework, a student had to complete 15 problems total. If she finished 6 problems in class, what is the ratio of problems she still needs to complete to problems that she's already finished?

Answers

Answer:

3:2.

Step-by-step explanation:

They have 15 - 6 = 9 problems to do, so it is:

9:6

= 3:2.

Answer:

9/15

Step-by-step explanation:

15 - 6 = 9 as a fraction would be 9 meaning what is left and 15 as meaning how much they started with so it is 9/15 also called 9 over 15

Hope This Helped

Question 5 options:
Type right or left in the space.

17.2 is 17.2 units to the (right/left) of zero on the number line.

Answers

Answer:

17.2 is 17.2 units to the right of zero on the number line.

Step-by-step explanation:

On a number line positive numbers are on the right of 0 and negative numbers are one the left of 0.

Please mark brainliest :)

Answer: Right

Step-by-step explanation:

All positive numbers are to the right of zero on the number line.

All negative numbers are to the left of zero on the number line.

17.2 is a positive number, so;

17.2 is 17.2 units to the (right/left) of zero on the number line.

A business serves 18 customers with 67 staff to maintain a strong ratio of staff to guests. How many staff members would be needed if 298 customers are expected?

Answers

Answer:

x = 67 *272 = 364.48 = 364 (rounded as requested).

Step-by-step explanation:

Use the proportion

50 = 272

67 x

Elena is going to a farmer's market for fresh produce. She has two markets to
choose from and hopes to buy both cherries and asparagus. The table shows
the probability that each type of produce will be available at the markets.
North
South
market
market
Cherries
0.96
0.8
Asparagus
0.5
0.65
Assuming that the availability of cherries and the availability of asparagus are
independent of each other, which market should Elena choose to maximize
her chance of buying both?
O A. South market. There is a 0.77 probability of both cherries and
asparagus being available.
B. North market. There is a 0.77 probability of both cherries and

Answers

Elena should go to the south market because there is 0.52 probability of both cherries and asparagus being available.

How to determine the market to choose?

The table is given as:

North market South market

Cherries 0.96 0.8

Asparagus 0.5 0.65

The probability of buying both produce at both markets is calculated as:

P(North) = 0.96 * 0.5 = 0.48

P(South) = 0.8 * 0.65 = 0.52

0.52 is greater than 0.48

Hence, Elena should go to the south market because there is 0.52 probability of both cherries and asparagus being available.