The Willis Tower in Chicago is 1,451 ft tall. The Transamerica Pyramid in San Francisco is 10,236 in. tall.
How do these 2 towers compare?

Answer:

Step-by-step explanation:

Y = 1/5 x + 14 where b = 7

Result:

x + 70 = 5 Y

Geometric figure:

line

Alternate forms:

x = 5 Y - 70

x - 5 Y + 70 = 0

Real solution:

Y = x/5 + 14

Solution:

Y = x/5 + 14

Integer solution:

x = 5 n, Y = n + 14, n element Z

Solution for the variable x:

Answer:

Q7: 6a³

Q8: -6n^4

Q9: -7a

Step-by-step explanation:

see attachment below

x = 13, y = 18

hope this is right

Answer:

x=−3 and y=−2

Step-by-step explanation:

-5x+4(-2x-8)=7

-13x-32=7

-13x-32+32=7+32

-13x=39

divide both sides by -13

x=-3

substitute x for -3

-2(-3)-8= -2

y= -2

Answer:

1 day =   221 hot coffee cups and 117 iced coffee cups

2 day = 247 hot coffee cups and 234 iced coffee cups

Step-by-step explanation:

A new coffee shop sold 468 cups of hot coffee and 351 cups of iced

coffee during its first two days. The ratio of cups of hot coffee sold to cups of

iced coffee sold on the first day was 17 : 9. On the second day, the shop sold

twice as many cups of iced coffee as the first day. The ratio of cups of hot

coffee sold to cups of iced coffee sold on the second day was 19 : 18.

a) How many cups of each type of coffee did the shop sell the first day?

Let  cups of hot coffee be denoted by x

Then

17x+ 19x= 468

or

36x= 468

x= 13

On the first day the number of hot coffee cups sold are 17y or 17*13=  221 cups.

On the second day the number of hot coffee cups sold are 19y or 13*19=  247 cups.

Similarly Let  cups of iced coffee be denoted by  y

Then

9y+18y= 351

27y= 351

y= 351/27= 13

On the first day the number of iced coffee cups sold are 9y or 13*9=  117 cups.

On the second day the number of iced coffee cups sold are 18y or 13*18=  234 cups.

Answer:

2. The area of the side walk is approximately 217 m²

3. The distance away from the sprinkler the water can spread is approximately 11 feet

4. The area of the rug is 49.6

Step-by-step explanation:

2. The dimensions of the flower bed and the sidewalks are;

The diameter of the flower bed = 20 meters

The width of the circular side walk, x = 3 meters

Therefore, the diameter of the outer edge of the side walk, D, is given as follows

D = d + 2·x (The width of the side walk is applied to both side of the circular diameter)

∴ D  = 20 + 2×3 = 26

The area of the side walk = The area of the sidewalk and the side walk = The area of the flower bed

∴ The area of the side walk, A = π·D²/4 - π·d²/4

∴ A = 3.14 × 26²/4 - 3.14 × 20²/4 = 216.66

By rounding to the nearest whole number, the area of the side walk, A ≈ 217 m²

3. Given that the area formed by the circular pattern, A = 379.94 ft.², we have;

Area of a circle = π·r²

∴ Where 'r' represents how far it can spread, we have;

π·r² = 379.94

r = √(379.94 ft.²/π) ≈ 10.997211 ft.

Therefore, the distance away from the sprinkler the water can spread, r ≈ 11 feet

4. The circumference of the rug = 24.8 meters

The circumference of a circle, C = 2·π·r

Where;

r = The radius of the circle

π = 3.1

∴ For the rug of radius 'r', C = 2·π·r = 24.8

r = 24.8/(2·π) = 12.4/π = 12.4/3.1 = 4

The area = π·r²

∴ The area of the rug = 3.1 × 4² = 49.6.

Answer:

501+51=552

Step-by-step explanation:

ad dthem to get answer

Assuming the point A has coordinates (2,3) and the center of dilation is the origin.

Then the image of point A under a dilation of scale factor of 4 is (4∗2,4∗3)=(8,12)(4*2,4*3)=(8,12)(4∗2,4∗3)=(8,12)

Hence A(2,3)→A′(8,12)A(2,3)\to A'(8,12)A(2,3)→A

′

(8,12)

In general the rule for a dilation of scale factor of k is (x,y)→(kx,ky)(x,y)\to(kx,ky)(x,y)→(kx,ky)

please mark me as brainliest

Answer:

sine

Step-by-step explanation:

Answer:

use the cosine (cos)

Step-by-step explanation:

There are three trig functions:

sin

cos

tan

An easy way to remember which sides go with which function is the saying:

soh - cah - toa

so....breaking down the acronoym

sin refers to opposite over hypotenuse

cos refers to adjacent over hypotenuse

tan refers to opposite over adjacent

Hope this helps!!!! :)

Answer:

answer would be 5

Step-by-step explanation:

Logarithm base 2 of 32 is 5.

Answer:

99

Step-by-step explanation:

The following figure is a trapezoid with the following dimensions

Height = 9ft

Shorter Base Length = 6ft

Longer Base Length = 16ft

The area of a trapezoid can be found using this formula

[tex]A=\frac{a+b}{2}h[/tex]

where a and b = bases and h = height

Given all the information needed we plug in the values into the formula

[tex]A=\frac{6+16}{2} 9\\6+16=22\\\frac{22}{2} =11\\11*9=99\\A=99ft^2[/tex]

So we can conclude that the area of the trapezoid is 99 ft²

Answer:

Formula of a trapezoid:

Base 1 + Base 2 x H x 1/2

In this case:

Base 1 (6) + Base 2 (16) x Height (9) x 1/2

= 99

Answer:

Step-by-step explanation:

Given,

Length of the bedroom = 13 feet

Width of the bedroom = 9 feet

Therefore,

First Case:

Area of the bedroom = Length × Width

= 13 feet × 9 feet

= 117 sq. ft.

Second Case:

Perimeter of the bedroom = 2(Length + Width)

= 2 (13 + 9) feet

= 2 × 22 feet

= 44 feet

Hence,

Required area of the bedroom is 117 sq. ft. and perimeter of the bedroom os 44 feet (Ans)

Answer:

0

Step-by-step explanation:

anything times 0 equals 0

Answer:

1. 4/15

2.8/15

3.11/15

P{E} = No. of Favourable Outcomes/Total Outcomes

In physics, a force is any interaction that, when unopposed, will change the motion of an object.

[tex] \\ [/tex]

Answer:

so so sorry if this anwser is wrong hope this helps

Step-by-step explanation:

number of vounteers                number of pzzia per volunteer

1                                                                   20

2                                                                   10

5                                                                    0

10                                                                 -10

20                                                                -20

40                                                                -40

Answer:

[tex]y = \frac{1}{2} x+5[/tex]  

Step-by-step explanation:

1) First, find the slope of the line that passes between the two points. Substitute the x and y values of (2,6) and (-8,1) into slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Then, solve:  

[tex]m = \frac{(1)-(6)}{(-8)-(2)} \\m = \frac{1-6}{-8-2} \\m = \frac{-5}{-10} \\m = \frac{1}{2}[/tex]

So, the slope is [tex]\frac{1}{2}[/tex].

2) Now, write the equation of the line using the point-slope formula, [tex]y-y_1 = m (x-x_1)[/tex]. Substitute real values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].

Since [tex]m[/tex] represents the slope, substitute [tex]\frac{1}{2}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of one of the given points into the formula as well. (Any of the two will do. Either choice will represent the same line. I chose (2,6).) Then, isolate y to put the equation in slope-intercept form and find an answer:

[tex]y-6 = \frac{1}{2} (x-2)\\y-6 = \frac{1}{2} x-1\\y = \frac{1}{2} x+5[/tex]

Answer:

Step-by-step explanation:

Factorize 125 = 5 * 5 * 5 = 5³

[tex](125x^{3}*y^{-12})^{\frac{-2}{3}} = (5^{3}x^{3}*y^{-12})^{\frac{-2}{3}}\\\\ = 5^{(3*\frac{-2}{3})}* x^{[3*\frac{-2}{3}]}*y^{-12*\frac{-2}{3}}\\\\= 5^{-2} * x^{-2} * y^{(-4*-2)}\\\\=\frac{1}{5^{2}x^{2}}*y^{8}\\\\=\frac{y^{8}}{25x^{2}}[/tex]

[tex](a*b)^{m} = a^{m}*b^{m}\\\\a^{-m}=\frac{1}{a^{m}}[/tex]

Answer:

on the grid it says 4 but gary is looking for treasure so it would be worth more than your you know?

Step-by-step explanation:

Answer:

4.2 inches

Step-by-step explanation:

Basketball rim:

diameter = 18 inches

r = 18/2 = 9 inches

Ball:

Circumference of ball = 30 inches

2πr = 30 inches

[tex]2*3.14*r = 30\\\\r = \frac{30}{2*3.14}\\\\r = 4.8 inches[/tex]

Distance between the ball and the rim in a shot when the ball goes exactly in the center of the rim = radius of the rim - radius of the ball

   = 9 - 4.8

   = 4.2 inches

Answer:

x = 40

Step-by-step explanation:

1/5 ( x − 5 ) = 7

1/5x - 1 = 7

1/5x = 7 + 1

1/5x = 8

x = 8 * 5

x = 40

Answer:

swsry

Step-by-step explanation:

ssry

Answer:

2826yd²

Step-by-step explanation:

The area of a circle is 3.14r²

Youre given a diameter of 60 so the radius would be 30 now plug into the equation and you get 2826

Answer:

11,309.734

Step-by-step explanation:

hope it is correct.

if is correct please mark as brainliest

have a great day/night

thank you

19NBoli

Answer:

x^3-2x^2-13x+6

Step-by-step explanation:

We are to simplify the expression (x+3)(x^2−5x+2). This is as shown;

(x+3)(x^2−5x+2)

Expand

= x(x^2)-5x(x)+2x+3x^2-3(5x)+6

= x^3 - 5x^2+2x+3x^2-15x+6

Collect the like terms

= x^3 - 5x^2+3x^2+2x-15x=6

= x^3-2x^2-13x+6

This gives the required expression

Answer:

y=x1/2

Step-by-step explanation:

y = Vera

x = Chuck

Answer:

         Emily                Ben               Cath

         Adam               Darren           Empty

Answer:

d

Step-by-step explanation:

Answer:£2121.8

Step-by-step explanation:

Given

Principal money [tex]P=[/tex]£2000

rate of interest is  [tex]R=3\%[/tex]

time period [tex]T=2\ yr[/tex]

The amount by compound interest is given by

[tex]A=P[1+\frac{R}{100}]^T[/tex]

Putting values

[tex]\Rightarrow A=2000[1+0.03]^2\\\Rightarrow A=2121.8[/tex]

So, after two years it will be £2121.8

Step-by-step explanation:

[tex]find \: y \\ 180 - 90 = 90 \\ 90 \div 2 = 45 \\ y = 45 + 90 = 135[/tex]

[tex]find \: x \\ 360 - 2(90) - 76 = \\ = 360 - 180 - 76 = \\ = 180 - 76 = \\ = 104[/tex]

Answer:

The number 173 or 1,173?

1,173 x 1,173 = 1,375,929

Since all sides are equal in a square, one given length would be all the side lengths since all sides are equal in a square.

If the side length was 173 then:

173 x 173 = 29,929