The sides of One World Trade Center in New York City form
eight isosceles triangles, four of which are 200 ft long at their base BC. The
length AC of each sloping side is approximately 1185 ft.

Answers

Answer 1

The value of ∠BAC in the isosceles triangle is 9.7°

Cosine rule

Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:

a² = b² + c² - 2bc*cos(A)

where a, b, c are the sides of the triangle and A, B, C are the angles opposite the sides.

AB = AC = 1185 (isosceles), BC = 200, let ∠BAC = x°, hence:

200² = 1185² + 1185² - 2(1185)(1185)cos(x)

2(1185)(1185)cos(x) = 2808450

cos(x) = 0.9857

x = 9.7°

The value of ∠BAC in the isosceles triangle is 9.7°

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The Sides Of One World Trade Center In New York City Formeight Isosceles Triangles, Four Of Which Are

Related Questions

In an earlier lesson, we saw this graph that shows the percentage of all garbage in the U.S. that was recycled between 1991 and 2013.

1) Sketch a linear function that models the change in the percentage of garbage that was recycled between 1991 and 1995. For which years is the model good at predicting the percentage of garbage that is produced? For which years is it not as good?

2) Pick another time period to model with a sketch of a linear function. For which years is the model good at making predictions? For which years is it not very good?

Answers

Answer:

here we can use mathematics to make an equation but according to the questions rewarded marks we can only determine an sketch of best fit line

and not good in 1993 (predicted as graph is less accurate)

other period is 1995 to 2005

just somewhere you can see an line straight

If consumers always spend 15 percent of their income on food, then the income elasticity of demand for food is
O a. 0.15
O b. 1.00
O C. 1.15.
O d. 1.50.
O e. none of the above.

Answers

The income elasticity of demand for food is 1.

What is income elasticity of demand?

The income elasticity of demand measures how quantity demanded changes when income changes.

income elasticity of demand = percentage change in quantity demanded / percentage change

When income elasticity of demand is one, it means that the good has a constant demand regardless of changes in income.

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PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer: A

Step-by-step explanation:

There are 8 ticks until the whole number 1. It is on the 2nd tick. 2/8

Answer:

A. 2/8

Step-by-step explanation:

2/8 = 0.25

6/8 = 0.75

8/2 = 4

The only one that makes the most sense is 2/8 or 0.25

Look at the number lines in the pictures

I need help with number 12

Answers

Answer:

1. y = 3x - 5

2. y = -4x + 2

3. y = -3x - 4

4. y = -3x - 6

Step-by-step explanation:

These questions are pretty easy. The only thing you have to do, to turn the equation into slope intercept form, is to solve for y in each equation

All the equations are in standard form, and we need to rewrite them in slope intercept form, so here are the steps

For the first equation: -3y + 9x = 15

We solve for y in the equation

-3y + 9x = 15

1. Subtract 9x from each side to isolate y

-3y + 9x - 9x = 15 - 9x

2. Simplify

-3y = 15 - 9x

3. Divide each term by -3 to get y by itself.

-3y/-3 = 15/-3 -9x/-3

4. Simplify

y = 3x - 5

For the second equation, we do the same proces, we just solve for y
−4x − y + 2 = 0

Step 1: Add 4x to both sides.

−4x − y + 2 + 4x = 0 + 4x

−y + 2 = 4x

Step 2: Subtract 2 to both sides.

−y + 2 − 2 = 4x − 2

−y = 4x − 2

Step 3: Divide both sides by -1

-y/-1 = 4x/-1 -2/-1

y = -4x + 2

For the third equation, we do the same thing too

2y + 6x = -8

Step 1: Subtract 6x to both sides.

6x + 2y − 6x = −8 − 6x

Switch -8 and -6x

2y = −6x − 8

Step 2: Divide both sides by 2.

2y/2 = -6x/2 -8/2

y = -3x - 4

And for the last equation, we do the same thing we did in the second equation

-6 - 3x - y = 0

Step 1: Add 3x to both sides.

−3x − y − 6 + 3x = 0 + 3x

−y − 6 = 3x

Step 2: Add 6 to both sides.

−y − 6 + 6 = 3x + 6

−y = 3x + 6

Step 3: Divide both sides by -1.

-y/-1 = 3x/-1 + 6/-1

y = -3x - 6

7x3+32+100= so some people don’t know this (likely my cousin) so first u do 7x3=21 and then 21+32=53 so then you add 53+100=153 boom! You got the answer (I’m in year 9)

Answers

Answer:

153

Step-by-step explanation:

7x3+32+100=153

Give brainiest cause you greatest person alive

Can you figure out the answer to this pencil problem?

Answers

6!
Red pencil = 6
Blue pencil = 3

3 + 3 = 6

The answer of this will be [tex]6[/tex] .

What are Addition and Subtraction?

Addition is a mathematical operation that represents combining objects t into a larger collection. It is signified by the plus sign (+). Subtraction is  a mathematical operation that represents process of finding the difference between numbers or quantities. It is signified by the minus sign (-)

We have,

In first line, we have

Two Red pencil [tex]+[/tex] One Red And Blue Pencil [tex]=21[/tex]   [tex].........[/tex] First Row

Red pencil [tex]-[/tex] Blue pencil [tex]=3[/tex]     [tex].........[/tex] Second Row

Red Pencil and Blue Pencil [tex]= 15[/tex]     [tex].........[/tex] Third Row

Blue Pencil [tex]+[/tex] Blue Pencil [tex]= \ ?[/tex]      [tex].........[/tex] Fourth row

We have,

From Second row ,

We will choose two numbers which have difference of [tex]3[/tex],

Let, [tex]6[/tex] and [tex]3[/tex]

i.e.

Red Pencil [tex]= 6[/tex]

Blue Pencil [tex]= 3[/tex]

So,

Red pencil [tex]-[/tex] Blue pencil [tex]=3[/tex]

      [tex]6-3=3[/tex]

It means that the numbers we choose are best fir for the values of pencils.

Now, Put values of these pencil in Fourth row,

Blue Pencil [tex]+[/tex] Blue Pencil [tex]= \ ?[/tex]  

[tex]3+3=6[/tex]

So, the values of the the Two  blue Pencil will be [tex]6[/tex].

Hence, we can say that the answer of this will be [tex]6[/tex] .  .

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#SPJ3

Plss someone helppp and explain if you can

Answers

Step-by-step explanation:

ab and dc are parallel lines and ad is a traversal

angle aef = angle edc (corresponding angles)

180-13x-57 = 5x-3

183-57 = 18x

126= 18x

x= 7

angle aef =180-13*7-57= 32

Simplify 6 x − x + 5 y − 2 y

Answers

Answer:

5x + 3y

Step-by-step explanation:

6x − x + 5y − 2y

(6x − x) + (5y − 2y)

5x + 3y

Hope that helps!

Answer:

[tex]5x+3y[/tex]

Step-by-step explanation:

Given the following question:

[tex]6x-x+5y-2y[/tex]

In order to find the answer, we combine like terms by adding/subtracting terms with similar variables.

[tex]6x-x+5y-2y[/tex]
[tex]6x-x=5x[/tex]
[tex]5y-2y=3y[/tex]
[tex]5x+3y[/tex]

Hope this helps.

Please Help I'm Stuck with this

Answers

Answer:

a) 4 cm

b) 5 cm

Step-by-step explanation:

a) Area of a rectangle = width x length

From inspection, the width of this rectangle is 2 cm and the length is 8 cm

area of the rectangle = 2 x 8 = 16 cm²

A square has 4 sides of equal measure.

Let the side of a square = [tex]x[/tex]

Therefore, the area of a square = [tex]x \times x = x^2[/tex]

If the square has the same area as the rectangle, then

[tex]x^2=16[/tex]

Square root both sides:  [tex]x = \sqrt{16} =\pm4[/tex]

Since the length of a side cannot be negative, [tex]x=4[/tex] only

So the side length of the square = 4 cm

b) Perimeter of a rectangle = 2 x length + 2 x width

⇒ perimeter of the rectangle = (2 x 8) + (2 x 2) = 20 cm

Since the side lengths of a square are equal, and a side length = [tex]x[/tex]

Perimeter of a square = 4 x [tex]x[/tex] = 4[tex]x[/tex]

If a square has the same perimeter as the rectangle, then

[tex]4x=20[/tex]

Divide both sides by 4:  [tex]x=20 \div 4 = 5[/tex]

side length of this square = 5 cm

Answer:

a)4cm  b)5cm

Step-by-step explanation:

a)

[tex]Solution,\\\\Length(l)=8cm\\\\Breadth(b)=2cm\\\\Now,\\\\Area=l*b\\\\Area=8cm*2cm\\\\Area=16cm^{2}[/tex]

Area of the rectangle is 16cm².

When,

Area of the rectangle is equal to the area of the square then,

Area of square=16cm²

Now,

→Length=√Area

→Length=√16cm²

→Length=4cm


b)

[tex]Solution,\\\\Length(l)=8cm\\\\Breadth(b)=2cm\\\\Now,\\\\Perimeter=2(l+b)\\\\Perimeter=2(8cm+2cm)\\\\Perimeter=2(10cm)\\\\Perimeter=20cm[/tex]

The perimeter of rectangle=20cm

When,

The perimeter of the rectangle is equal to the perimeter of the square then,

The perimeter of square=20cm

Now,

Length=Perimeter/4

Length=20cm/4

Length=5cm

Which statements are true for the following expression? 30 · (8 + 7 + 3) Check all that are true. The solution is the product of two factors. The second factor is itself the sum of three terms. The solution is the sum of two terms. The coefficient is 3. The second factor is the sum of two terms.

Answers

Answer:

True:

The solution is the product of two factors.

The second factor is itself the sum of three terms.

False:

The solution is the sum of two terms.

The coefficient is 3.  (This one I'm confused about. There is no x/letter term, so there shouldn't be a coefficient in this problem at all.)

The second factor is the sum of two terms.

Find the values of x and y. The diagram is not to scale.
A.) x=60, y=83
B.) x=83, y=60
C.) x=83, y=62
D.) x=42, y=60

Answers

Answer:

[B] x = 83, y = 60

Step-by-step explanation:

Find the value of x

we know that

[tex](x-3)=80[/tex]  -------> by corresponding angles, because the given lines are parallel

Solve for x

[tex](x-3)=80[/tex]

[tex]x=80+3[/tex]

[tex]x=83[/tex]

Find the value of y

we know that

[tex]x-3+42+(y-2)= 180[/tex]

substitute the value of x and solve for y

[tex]83-3+42+(y-2)= 180[/tex]

[tex]80+42-2+y=180[/tex]

[tex]120+y=180[/tex]

[tex]y=180-120[/tex]

[tex]y=60[/tex]

Therefore, the answer is [B] x = 83, y = 60

[RevyBreeze]

Please help me with this question

Answers

Answer:

the first option

because when x is increased by 50 and y is decreased by 50 the equation goes thus

x+ 50 + y - 50 = 600

and + 50 -50 = 0

therefore x + y = 600

What is the coefficient in 5x + 13?
(please answer this immediate)

Answers

Answer:

The answer is 5

Step-by-step explanation:

The coefficient in any equation is the numerical or constant quantity placed before multiplying the variable.

write -2x^3(4x^3+5x^6) in standard form, classify the degree and find the end behavior.
A) -8x^6-10x^9; 6th degree; up to down.
B) -10x^9-8x^6; 9th degree; up to down.
C) -10x^9-8x^6; 9th degree; down to up.
D) -8x^9-10x^18; 9th degree; up to down.

Answers

Answer:

[tex]-10x^9 - 8x^6[/tex]; up to down

Step-by-step explanation:

[tex]-2x^3(4x^3+5x^6)[/tex]

[tex]-2x^3(4x^3) + -2x^3(5x^6)[/tex]

[tex]-8x^6 + -10x^9[/tex]

[tex]-10x^9 - 8x^6[/tex]

Hope this helps!

WILL GIVE BRAINLY IF CORRECT!

Answers

10 3/4

Work:

105/4 is cooper if expanded

124/8 is other

210/8-124/8=86/8

10 3/4

Please like

First, convert these two mixed fractions into improper fractions.

You can do that by following these steps:

Multiply the outside number by the number in the denominator

Add the product to the number in the numerator

5[tex]\frac{1}{4}[/tex] = [tex]\frac{21}{4}[/tex]

3[tex]\frac{7}{8}[/tex] = [tex]\frac{31}{8}[/tex]

Now, convert these fractions so that they share the same denominator. 4 and 8 share the same factor of 8. Multiply the numerator and denominator of [tex]\frac{21}{4}[/tex] by 2 so that the denominator becomes 8.

[tex]\frac{21}{4}[/tex] = [tex]\frac{42}{8}[/tex]

Now find how many inches of string each person has by using multiplication:

Sophie has [tex]\frac{42}{8}[/tex] × 5 = [tex]\frac{210}{8}[/tex] inches total

Cooper has [tex]\frac{31}{8}[/tex] × 4 = [tex]\frac{124}{8}[/tex] inches total

To find how much more inches Sophie has, subtract the two fraction from each other:

[tex]\frac{210}{8} - \frac{124}{8}[/tex] = [tex]\frac{86}{8}[/tex]

Simplify the fraction:

Sophie has 10[tex]\frac{6}{8}[/tex] or 10[tex]\frac{3}{4}[/tex] more inches than Cooper

what is the correct factorization of 6x^2 -2x -20?
Please get correct!

Answers

→ 6x² - 2x - 20

→ 6x² + 10x - 12x - 20

→ x(6x + 10 ) - 2 (6x + 10)

→ (6x + 10) (x - 2) .

for

6x - 10 = 0

6x = 10

[tex]{x\:=\:\frac{5}{3}}\\[/tex]

for x - 2

x = 2

The factored form of the expression is (6x+10)(x-2)

How to factorize expression

Give the quadratic expression

6x^2 -2x -20

On factorizing

6x^2 -2x -20

6x^2 -12x + 10x -20

6x(x-2) + 10(x-2)

(6x+10(x-2)

HEnce the factored form of the expression is (6x+10)(x-2)

Learn more on factorization here: https://brainly.com/question/25829061

The actual length of a table is 45 [tex]\frac{1}{2}[/tex] inches. Harriet estimates the length of the table and finds her percent error to be less than 4%.

What range of values represents Harriet's estimated length?

Enter your answers as decimals or mixed numbers in simplest form by filling in the boxes.

Give me answer ASP ( I will give the first person that's right all my points)

Answers

Answer: 43.68 and 47.32

Step-by-step explanation: I took the test

What is the value of X?


A. 5

B. 2.5

C. 7.5

D. 10

Answers

Answer:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

18. 3

+

11

17

3

4

co

loo

8

Step-by-step explanation:

12. 5

11.

10

10

15. 7

14. 11

2

Please help ! Use 1st and 2nd differences to determine if the following table is linear, quadratic or neither.

Answers

Answer:

Quadratic

Step-by-step explanation:

anytime the Y values repeat in that fashion, it's going to be a parabola aka quadratic function

Can someone please help

Answers

Answer:

10.) If you buy all larger cans (aka the 7-gallon cans), you would have saved approx. $30.21

9.) Seth would need a score of 95% in order to average an 80%

Step-by-step explanation:

10.) It costs $15.50 per 5-gal. If you want to buy 45 gallons, it would cost you $139.50 if you bought 5-gallon cans.

It costs $17.00 per 7-gallon. If you want to buy 45 gallons, it would cost you $109.29 if you bought 7-gallon cans.

Now, let's compare prices. Buying 45 gallons worth of 7-gallon cans is less expensive by.... (139.50 - 109.29 = 30.21)

Therefore, you saved $30.21.

9.) An average is done by adding up all the numbers and dividing it by how many numbers you added it by. Let's write an equation to make things easier. So far, we don't know the score he needs to get on his fourth test so let's make it a variable x.

(82 + 68 + 75 + x) / 4 = 80

Let's solve for x.

(82 + 68 + 75 + x) / 4 = 80    *Multiply both sides by 4

82 + 68 + 75 + x = 320     *Add like terms

225 + x = 320    *Subtract 225 from boths to get x on one side

x = 95

help me please, will give brainliest​

Answers

Step-by-step explanation:

Mark me as brilliant plzzz

When x=4

1. Substitute the x into the equation.

y=3(4)+10

2. Solve for y

y=3(4)+10

y=12+10

y=22

When x=5

1. Substitute the x into the equation.

y=3(5)+10

2. Solve for y

y=3(5)+10

y=15+10

y=25

When x=6

1. Substitute the x into the equation.

y=3(6)+10

2. Solve for y

y=3(6)+10

y=18+10

y=28

please help me with this math

Answers

r = d x 3.14

6mm = 12 mm x 3.14

12 x 3.14 = 37.68

37.68 rounded is 38.

38 rounded is 40.

I believe the answer is A) 36(pi)mm^2.

Let me know if this is the correct answer. :)

Work out the missing numbers:
a) 2.8 x ? = 3.92
b) ? x 1.7 = 2.21

Answers

Answer:

a) [tex]\sf x = 1.4[/tex]   b) [tex]\sf x = 1.3[/tex]

Let the missing numbers be x,

solving steps:

a)

[tex]\sf 2.8 * x = 3.92[/tex]

[tex]\sf x = \frac{3.92}{2.8}[/tex]

[tex]\sf x = 1.4[/tex]

b)

[tex]\sf x * 1.7= 2.21[/tex]

[tex]\sf x = \frac{2.21}{1.7}[/tex]

[tex]\sf x = 1.3[/tex]

Solve the system of equations -x + 2y = –2 and 6x – y = -43 by combining
the equations.

Answers

Answer:

{x,y}={-8,-5}

Step-by-step explanation:

/ Solve equation [2] for the variable  y

 [2]    y = 6x + 43

// Plug this in for variable  y  in equation [1]

  [1]    -x + 2•(6x+43) = -2

  [1]    11x = -88

// Solve equation [1] for the variable  x

  [1]    11x = - 88

  [1]    x = - 8

// By now we know this much :

   x = -8

   y = 6x+43

// Use the  x  value to solve for  y

   y = 6(-8)+43 = -5

Solution :

{x,y} = {-8,-5}

hope this helps!

What is the answer to (-9x10^-14)x(-3x10^7)

Answers

Answer:

2.7×10−6

Step-by-step explanation:

I did this on a calculator I have no idea what the step by step is

in the computer lab there are 14 apple computers and 16 PC computers
approximately what percent of the computer are PCs

Answers

Answer:

14 + 16 = 20

16/20

= 80/100

80 %

Step-by-step explanation:

Answer:

Find the percentage of PCs

Total is 14+16=30 computers

PCs are 16

so, 16/20×100%= 80%

a room is 15.75 square yards and the carpet costs $15 per square yard. how much will it cost to carpet the room

Answers

Answer:

236.25

Step-by-step explanation:

15.75 sq yards * 15 dollars per sq yards = 236.25

You multiply the amount of square yards with the amount each costs to get your answer.

Hope this helps!

what is the square root of 13?​

Answers

Answer:

[tex]\sqrt{13} = 3.605[/tex]

what is the gradient of the blue line

Answers

Answer:4

Step-by-step explanation:

When you look at the two lines, you can see that the blue line is steeper than the red line. It makes sense the value of the slope of the blue line, 4, is greater than the value of the slope of the red line, 14 .

Help PLease this is another question

Answers

Answer:

A.

Step-by-step explanation:

The way the arrow faces, show whether the sign is greater or lesser

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