I need help with a and b!

Answer:

ty

Step-by-step explanation:

This can be determined by ellipse formula. Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.

Given:

A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 80 feet, and the maximum height at the center of the tunnel is 30 feet.

Find:

The height of the tunnel 4 feet from the edge is.

Let us consider,

The center of the concerned ellipse at the centre of its width of 80 feet. Let us consider

[tex]\begin{alligned}2a&=80\\\\a&=\dfrac{80}{2}&=\bold{40\:feet}\end{aligned}[/tex]

Since the maximum height at the centre of the tunnel is 30 feet, we can say that b = 30 feet.

Now, considering the centre of the tunnel as origin, we can write the equation of the ellipse as:

[tex]\bold{\dfrac{x^{2} }{a^{2} } +\dfrac{y^{2} }{b^{2} } =1}[/tex]

If we need to find the height of the tunnel 4 feet from the edge, we are looking for the height of the tunnel at 40 - 4 = 36 feet  from the center of the tunnel.

Therefore, we need to find y from the equation of the ellipse, when x = 36 feet.Hence,

[tex]\begin{aligned}\dfrac{36^{2} }{40^{2} } +\dfrac{y^{2} }{30^{2} }&=1\\\dfrac{1296}{1600} +\frac{y^{2} }{900}&=1\\y^{2}&=(1-\frac{1296}{1600} )\times900\\y^{2}&=(1-0.81)\times900\\y^{2}&=0.19\times900\\y^{2}&=171\\y &=\sqrt{171\\\bold{y&=13.08}\end{aligned}[/tex]

Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.

For further details,please prefer this link:

https://brainly.com/question/13447584

Answer:

This can be determined by ellipse formula. Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.

Step-by-step explanation:

because of the reason that the other one said so, and im answering cause i want more points and to maintain my streak, and brainly stop taking down my answers!

Answer:

i think its 24 may i  please have brainliest i need it for my goal

Step-by-step explanation:

given :- tanA=4/3

we already know that tanA=P/B

From Pythagorean theorem we get..

H²=P²+B²

H²=4²+3²

H²=16+9

H²=25

H²=5²

H=5

SinA=P/H

CosA=B/H

from that

SinA= 4/5

CosA=3/5

Answer:

11

Step-by-step explanation:

y=3 × 5 -4

=15-4

11

this is your answer

Step-by-step explanation:

yyuejekkgebbehekkejwjuehhehjeklwmsb

bdbjejejejjej

Answer: x = 22

Step-by-step explanation:

Compare the 2 triangles

[tex]\frac{2x-8}{24} = \frac{45}{x+8}[/tex]

Cross multiply

(2x-8) (x+8) = 45 x 24

2x^2 + 16x - 8x - 64 = 1080

2x^2 + 8x - 64 - 1080 = 0

2x^2 + 8x - 1144 = 0 ---> divide by 2

x^2 + 4x - 572 = 0

(sum and product)

x^2 - 22x + 26x - 572 = 0

x(x - 22) + 26(x - 22) = 0

(x + 26) (x - 22) = 0

x + 26 = 0

x = -26

x - 22 = 0

x = 22

Answer:

0.649

Step-by-step explanation:

The probability that the number of people who show up to the plane exceed the capacity of the plane is 0.257.

Binomial distribution in probability is the discrete distribution that results in only two possible values in an experiment. The two possible values are either success/ true/ one which is denoted by probability 'p' or failure/ false/ zero which is denoted by q = 1 - p.

Binomial distribution formula can be written as,

P(x) = ⁿCₓ pˣ qⁿ⁻ˣ

where, n is number of experiments and x = 0, 1, 2, ...

Here, it is given that capacity of plane is 68

Number of people actually booked for flight is 70 ⇒ n = 70

Probability that people booked on their flight actually show up = 0.97

So, p = 0.97

⇒ q = 1 - p = 1 - 0.97 = 0.03

Let P be the probability that the number of people showing up exceed the capacity of the plane.

P = P (x = 69) + P (x = 70)

P = [⁷⁰C₆₉ (0.97)⁶⁹ (0.03)⁷⁰⁻⁶⁹] + [⁷⁰C₇₀ (0.97)⁷⁰ (0.03)⁷⁰⁻⁷⁰]

P = [ 70 × 0.122 × 0.03] + [1 × 0.119 × 0.03]

P = 0.2562 + 0.00357

P = 0.2598 ≈ 0.257

Hence, probability that the number of people who show up will exceed the capacity of the plane is 0.257.

To learn more on binomial probability distribution, click:

https://brainly.com/question/7283210

#SPJ2

Answer:

the difference is 1/21

Step-by-step explanation:

2/3 equals 14/21 and 5/7 equals 15/21

Answer:

21.59cm

Step-by-step explanation:

Multiply 8.5 by 2.54 to convert in. to cm.

Answer:

I'm not sure I understand but if you want more math to do look up Quizlet and do some of those tests

Answer:

c(10) = 10c i believe

Step-by-step explanation:

or the answer in the picture

Answer:

4 groups of 3

Step-by-step explanation:

Answer:

y = 2x + 2

Step-by-step explanation:

Slope = 2

y-intercept: 4 - (2)(1) = 2

Answer:

27h+16=178 I believe would work as an equation for this problem

Step-by-step explanation:

The required time to plant the rest of the saplings is 6 hours, and 27 + 16 = 178 is the required expression.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let the number of hours be h,
He can plant 27 saplings per hour.
He needs to plant 178 total saplings and has already planted 16 saplings.
So, according to the quesiton,
27h + 16 = 178,
27h = 162
h = 162/27

h = 6

Thus, the required time to plant the rest of the saplings is 6 hours,

Learn more about models here:
https://brainly.com/question/22591166
#SPJ2

Answer:

do you need that or something else

The equivalent expression of the different of two square is -1

Given the following expressions

a cot α = 1

a = 1/cot α = sinα/cosα

b = 1/cos α

We are to find the expression a² - b²

According to difference of two squares;

a² - b² =  (a + b) (a - b)

Substitute the given expressions into the formula as shown:

[tex]a^2 - b^2 = (\frac{sin \alpha}{cos \alpha} )^2 - (\frac{1}{cos \alpha} )^2\\a^2 - b^2=\frac{sin^2 \alpha}{cos^2 \alpha} -\frac{1}{cos ^2 \alpha}\\a^2 - b^2=\frac{sin^2 \alpha-1}{cos^2\alpha}\\a^2 - b^2=\frac{-(1-sin^2\alpha)}{cos^2\alpha} \\a^2 - b^2=\frac{-os^2 \alpha}{cos^2 \alpha}\\a^2 - b^2 = -1[/tex]

This shows that the equivalent expression of the difference of two squares is -1

Learn more here: https://brainly.com/question/11084694

Answer: 56

Step-by-step explanation:

Answer:

h(2)=8

Step-by-step explanation:

The problem basically asks you to substitute 2 in, hence h(2).

Here is your base equation.

h(x)=-x^2+6x

Plug in 2.

h(2)=-2^2+6(2)

Simplify, using PEMDAS.

h(2)=-4+12

h(2)=8

There's your answer!

Hope this helped :)

Answer:

2 quarters, 2 dimes, and 1 nickel

Step-by-step explanation:

25 times 2 = 50

10 times 2 = 20

1 times 5 = 5       +

____________

0.75

The coins can be distributed in the following manner -

2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Michele who has 5 coins Worth 0.75 in all.

We can distribute the coins in the following manner -

2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75

Therefore, the coins can be distributed in the following manner -

2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75

To solve more questions on Equation Modelling, visit the link below -

brainly.com/question/18404565

#SPJ5

Answer:

$117.87

Step-by-step explanation:

4 trees x $21.99 = $87.96

34% x $87.96 = $29.91 tip

Total = $87.96 + $29.91 = $117.87

Answer:

[tex] \alpha + (\alpha + 61) = 109 \\ 2 \alpha + 61 = 109 \\ 2 \alpha = 48 \\ \alpha = 24[/tex]

The measure of angle one is 24°

Step-by-step explanation:

X = 8/9

X = 8 Over 9

X = 8 Over 9

x = 2

Step-by-step explanation:

5(x-2) = 3(2-x)

5x-10 = 6-3x

8x = 16

x = 2

Answer: [tex]196m^2[/tex]

Step-by-step explanation:

since it's a cube the floor is in square shape

Answer:

SINCE ITS A CUBE OF FLOOR SHAPE.

=4

=169m²Ans.

Answer:

Z(2z+1)+z(4z+5)

[tex]2 {z}^{2} + z + 4 {z}^{2} + 5z[/tex]

[tex]6 {z}^{2} + 6 {z}[/tex]

[tex]6z(z + 1)[/tex]

Answer:

Step-by-step explanation:

12. 15 (3x5x1)

13.  8  (4x2x1)

14. 18 (6x3x1)

Answer:

166,400,000

Got the same one today and figured it out! Yw!❤