A tunnel is constructed with a semielliptical arch. The width of the tunnel is 80 feet, and the maximum height at the center of the tunnel is 30 feet. What is the height of the tunnel 4 feet from the edge? Round your answer to the hundredths place.

4.01 feet
9.37 feet
13.08 feet
29.85 feet

Answer:

g(-3)=1

Step-by-step explanation:

substitude x=-3

g(-3)=-(-3)-2

=1

Answer:

g(-3) = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify

g(x) = -x - 2

Step 2: Evaluate

Answer:

3.92 × 10 ^18

Step-by-step explanation:

(7 x 10^*9)(5.6 x 10^*8)

(7000000000)(560000000)

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10

If the decimal is moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

nine divided by 2 plus negative eight

Step-by-step explanation:

9/2=4.5

4.5+(-8)= -3.5

Step-by-step explanation:

= 9/2 + -8/1

= 9/2 + 16/2

= 9 + (-16)/2

= -7/2

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Value of a is :

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

Please refer to attachment for the solution ~

Answer:

b=-5

Step-by-step explanation:

<3

Answer:

C) -6

Step-by-step explanation:

-6 + 2 = -4 not -12.

But -6 + (-6) = -12.

Hope this is what you were looking for :)

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Length of each side of each of these three equilateral triangle is :

Solution is in attachment ~

Answer:

8(n - 7)

Step-by-step explanation:

let the number be n then the difference of n and 7 is n-7

8 times this difference is

8(n - 7)

Answer: 8(n-7)

Step-by-step explanation:

it should be that <3

Answer:

5

Step-by-step explanation:

I think ;- ; sorry

Answer:

0.0032

Step-by-step explanation:

start with [4(30-5)]/10/2

simplify to get:

[4(25)]/10/2

simplify to get:

0.16/10/2

simplify to get:

0.016/5

simplify to get your answer:

0.0032

The answer is x=−4 and y=−3

Answer:

Median =17

Step-by-step explanation:

Given that the mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. X is a random variable.  

a) X is N(17, 0.9)

b) Median giraffe height = 17 ft since in normal distribution mean = median

c) When x = 18.5, Z = 18.5-17/0.9 = Z= 0.1667

d) P( x < 18) = P( Z < 56)

= 0. 2877

e) P(16.9 < x < 17.9) = P(-0.11 < z < 1) = .0.438 + 0.3413

= 0.3851

f) 75th percentile for z is 0.675

x = 17.9 + 0.9 (0.675)

= 18.5075

Answer:

20

Step-by-step explanation:

Since this is not a right angle, we can use the formula [tex]Area= Sin(y) (\frac{1}{2}ab)[/tex]

a=7

b=10

y=35

So, when we plug these values in, we get:

[tex]a=Sin(35)(\frac{(10)(7)}{2})\\\\=35sin(35)\\=20.075\\[/tex]

rounded to the nearest hundredth, I believe it's 20.

Answer:

5

Step-by-step explanation:

the length is 5 because each side with equal to 5

5+5+5+5=20

Answer:

1:5

Step-by-step explanation:

The total number of eggs would be 15×6, or 90.

The eggs in 3 boxes would be 18.

18:90

Then simplify.

1:5

Answer:

The answer is y^4+2y^3+4y^2+5y+10

Step-by-step explanation:

I essentially just factored everything, as I'm certain this is right. :D

Answer:

one

Step-by-step explanation:

A unit rate compares a quantity to one unit of measure.

Answer:

see explanation

Step-by-step explanation:

Since the figures are similar then then corresponding sides are in proportion , that is

[tex]\frac{NP}{ST}[/tex] = [tex]\frac{NM}{SR}[/tex] , substitute values

[tex]\frac{x}{25}[/tex] = [tex]\frac{18}{30}[/tex] ( cross- multiply )

30x = 450 ( divide both sides by 30 )

x = 15

Similarly

[tex]\frac{UT}{QP}[/tex] = [tex]\frac{NM}{SR}[/tex] , that is

[tex]\frac{y}{15}[/tex] = [tex]\frac{18}{30}[/tex] ( cross- multiply )

30y = 270 ( divide both sides by 30 )

y = 9

The similarity ratio is the ratio of corresponding sides , that is

[tex]\frac{NM}{SR}[/tex] = [tex]\frac{18}{30}[/tex] = [tex]\frac{3}{5}[/tex]

SRUT is [tex]\frac{3}{5}[/tex] of NMQP

Answer:

8=2/3c

Step-by-step explanation:

Each bowl requires 2/3 pounds of clay

To make 8 bowls, Jamal needs 5 1/3 pounds of clay

1. The equation to represent amount is, x= b*c

2. Amount of clay Jamal needs to make 8 bowls is 8c.

A mathematical statement that is made up of two expressions connected by an equal sign.

let the amount of clay be x.

The number of bowls be b and c is pounds of clay.

So, Total cost

x= b * c

Now, if number of bowls are 8 then

x= 8*c

x=8c

So, the amount of clay Jamal needs to make 8 bowls is 8c.

Learn more about equation here:

https://brainly.com/question/16255566

#SPJ5

Answer:

3x+5y=35

Step-by-step explanation: 3 times how many pounds of apple he gets (5)and 5 times how many pounds of oranges he gets(4) equals the amount he spends on all.(3x5=15+5x4=20=35)

Step-by-step explanation:

25-3x=-8

-8-25=-33

-3x=-33

-33/-3= 11

x=11

hope this helped =)

Answer:

[tex]\boxed{\bf x=11}[/tex]

Step-by-step explanation:

[tex]\bf 25-3x=-8[/tex]

[tex]\boxed{\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}}[/tex]

[tex]\bf 25-3x-25=-8-25[/tex]

[tex]\bf -3x=-33[/tex]

[tex]\boxed{\mathrm{Divide\:both\:sides\:by\:}-3}[/tex]

[tex]\bf \cfrac{-3x}{-3}=\cfrac{-33}{-3}[/tex]

[tex]\bf x=11[/tex]

Answer:

four

Step-by-step explanation:

4 take away from 8 equals 4

Answer:

First part = 2.

Time to land = 6 seconds.

Step-by-step explanation:

The object is at h = 0 when it land so

-5x^2 + 20x + 60 = 0

-5(x^2 - 4x)  = -60

-5[(x - 2)^2 - 4] = -60

(x - 2)^2 - 4 = -60/-5 = 12

(x - 2)^2 = 16.

Solving the above:

Take the square root of both sides:

x - 2 = 4

x = 2 + 4

x = 6 seconds

150

um it is the closest estimate i could think of

Answer:

150

Step-by-step explanation:

375 x 40 divided by 100  = 150

Answer:

55 divided by 45= 1.222222222222    1650 divided by 1.222222= anserw

Step-by-step explanation:

Answer

6 exponent 2 is 36

6 exponent 4 is 1296

Both added is 1332

Step-by-step explanation:

1. 6x6=36

2. 6X6X6X6= 1296

3 1296+36=1332

Answer:

point = (-3, 5)

slope = 3/4

Step-by-step explanation:

The formula for point slope is:

y - y1 = m (x - x1)

point (x1, y1)

slope m

So with your equation:

y - 5 = 3/4 (x+ 3)

point = (-3, 5)

slope = 3/4

Answer: M=0,75

Step-by-step explanation:

Please find attached photograph for your answer.

Hope it helps.

Please do comment whether it is useful or not.

ray4918 here to help.