relation between inputs and outputs

Answer:

h = 231 feet

Step-by-step explanation:

Given that,

A person standing 248 feet from the base of a church, x = 248 feet

The angle of elevation to the church's steeple to be 43°.

We need to find the tall of the church. Let the length of the church is h. Using trigonometry to find it.

[tex]\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=248\times \tan(43)\\\\=231.26\ \text{feet}[/tex]

or

h = 231 feet

So, the height of the church is 231 feet.

Step-by-step explanation:

(3•2)+(3•2)+(6.5•3)+(6.5•3)+(2•6.5)+(2•6.5)

=77

Answer:

1. [tex]\frac{C}{D}[/tex] = 3.143

2. Circumference

3. Area of the circle is 3850 [tex]cm^{2}[/tex].

   ii. Circumference of the circle is 220 cm.

Step-by-step explanation:

The area, A, and the circumference, c, of a circle can be determined respectively by:

A = [tex]\pi[/tex][tex]r^{2}[/tex]

C = 2[tex]\pi[/tex]r

where r is the radius of the circle.

1. the ratio of the circumference and diameter, D, of a circle is:

r = [tex]\frac{D}{2}[/tex]

so that,

C = 2[tex]\pi[/tex][tex]\frac{D}{2}[/tex]

C = [tex]\pi[/tex]D

[tex]\frac{C}{D}[/tex] = [tex]\pi[/tex]

   = [tex]\frac{22}{7}[/tex]

   = 3.143

2. The distance around a circular region is known as it's circumference.

3. Given a circle of radius 35 cm, then:

A = [tex]\pi[/tex][tex]r^{2}[/tex]

   = [tex]\frac{22}{7}[/tex] x [tex](35)^{2}[/tex]

   = [tex]\frac{22}{7}[/tex] x 1225

   = 22 x 175

A = 3850

Area of the circle is 3850 [tex]cm^{2}[/tex].

C = 2[tex]\pi[/tex]r

   = 2 x [tex]\frac{22}{7}[/tex] x 35

   = 2 x 22 x 5

   = 220

C = 220 cm

Circumference of the circle is 220 cm.

Answer: a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

because i have had this question before.

Answer:

D

Step-by-step explanation:

Cus the other guy is big brain

The  scale factor of the dilation of line segment BA is 5.

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object. If the original figure's dimensions and the dilated (increased or lowered) figure's dimensions are known, the scale factor can be determined.

When both the original dimensions and the new dimensions are known, the scale factor may be determined. When employing the scale factor, there are two terms that must be understood. When a figure's size is increased, we refer to this as scaling up, and when its size is decreased, we refer to this as scaling down.

Given:

AC= 4

AA' = 16

and, A'C= 16+ 4 = 20

So, scale factor = AC/ A'C

                          = 4/5

                          = 1/5

Hence, the scale factor of the dilation of line segment BA is 5.

Learn more about scale factor here:

https://brainly.com/question/22312172

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Answer:

yes, s = 4

Step-by-step explanation:

if 6s = 24 then s must equal 4

6s/6 = 24/6 plug s = 4

6(4)/6 = 24/6     (6*4=24)

Answer:

70°

Step-by-step explanation:

180-105=75

35+75=110

180-110=70

9514 1404 393

Answer:

  -15

Step-by-step explanation:

(fg)(1) = f(1)×g(1) = (5×1² -1 +1)×(-3·1) = (5)×(-3)

(fg)(1) = -15

Answer: C.156

Step-by-step explanation:

Given: Total seashells = 160

mean = 120

population standard deviation = 26 grams

The probability that the seashells weigh at least 68 grams :-'

[tex]P(X\geq68) =P(\dfrac{x-\mu}{\sigma}\geq\dfrac{68-120}{26})\\\\=P(z\geq-2)\\\\=P(z<2)\ \ \ [P(Z\geq-z)=P(Z<z)]\\\\= 0.9772\ \ \ [\text{By p-value table}][/tex]

Total seashells weigh at least 68 grams = 0.9772 x 160 = 156.352≈ 156

Hence, the correct option is C.156

Answer:

156/C

Step-by-step explanation:

#platolivesmatter

Answer:

The answer is that you have to have Addition and division to solve this equation

Answer:

Step-by-step explanation:

I’m not sure if this is super accurate, but since P is prime, the only factors it has is 1 and itself, meaning that the square root of it will be irrational

[tex]\boxed{\boxed{\pink{\sf \leadsto Hence \ the \ area \ of \ shaded \ region \ is 264 cm^2}}}[/tex]

Here , two circles are given which are concentric. The radius of larger circle is 10cm and that of smaller circle is 4cm . And we need to find thelarea of shaded region.

From the figure it's clear that the area of shaded region will be the difference of areas of two circles.

Let the,

[tex]\bf \implies Area_{Shaded}= Area_{bigger}-Area_{smaller} \\\\\bf\implies Area_{Shaded} = \pi R^2 - \pi r^2 \\\\\bf\implies Area_{shaded} = \pi ( R^2-r^2) \\\\\bf\implies Area_{shaded} = \pi [ (10cm)^2 - (4cm)^2] \\\\\bf\implies Area_{shaded} = \pi [ 100cm^2-16cm^2] \\\\\bf\implies Area_{shaded} = \pi \times 84cm^2 \\\\\bf\implies Area_{shaded} = \dfrac{22}{7}\times 84cm^2 \\\\\bf\implies \boxed{\red{\bf Area_{shaded} = 264 cm^2 }}[/tex]

Answer:

either [tex]\frac{10}{7}[/tex] or 1 [tex]\frac{1.5}{3.5}[/tex]

Step-by-step explanation:

Answer: 1.5

                3. 5

Step-by-step explanation:

Answer:

1 - 0.3 (3/10)

2 - 1.1 (11/10)

3 - 2.2 (11/5)

For 3/5 (divide) 1/2, the answer is 1.2

Step-by-step-explanation:

3/5 = 0.6

1/2 = 0.5

0.6 / 0.5 = 1.2

Answer:

6

Step-by-step explanation:

Answer:

18%

Step-by-step explanation:

First, we need to find out the underage of 15 for walking/biking. 152-65=87

then we subtract 87 and 60 from 165 to get 18%

Answer: It is not D.

Step-by-step explanation: I got it wrong lol

Answer:

C.

Step-by-step explanation:

9514 1404 393

Answer:

  7800 units per year

Step-by-step explanation:

The increase over 5 years is ...

  89,000 -50,000 = 39,000 . . . . units

Then the increase per year is ...

  (39,000 units)/(5 years) = 7,800 units/year

Answer:

5 customers per minute

Step-by-step explanation:

Answer:

Find the the angle by subtracting 159 from 180 that’s your answer= 21 degrees

Step-by-step explanation:

brainliest plssss

Answer:

Show the answer choices

Step-by-step explanation:

Show answer choices

Answer:

a)£21.80

b) 3 trips

Step-by-step explanation:

The cost of an adult is $10.

A child’s ticket is $6.

FAMILY DISCOUNT CARD

- 45% off all adults tickets

- Children save 2/5 off of full price tickets

a) How much will it cost to buy 2 adult tickets and children’s tickets?

(a)

Adults: 2 × £10 = £20

(45 ÷ 100) x £20 = £9

£20 - £9 = £11

Children: 3 × £6 = £18

2 /5 of £18 = £7.20

£18 - £7.20 = £10.80

Total: £11 + £10.80 = £21.80

b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to savemoney on the cost of the card?

(b) Cost without discount = £20 + £18 = £38b)

No card

1 trip

1 × £38 = £38

2 × £38 = £76

3 × £ 38 = £114

With card

£40 + (1 × £21.80) = £61.80

2 trips 2 × £38 = £76 £40 + (2 × £21.80) = £83.60

3 trips 3 x £38 = £114 £40 + (3 × £21.80) = £105.40

3 trips before the discount card starts being cheaper than regular price

Answer:

71°

Step-by-step explanation:

ABD is alternate to DEB. Therefore ADB = DEB = 71°

The required size of angle ABD is 71.

The theorem states that “For any circle, the angle formed between the tangent and the chord through the point of contact of the tangent is equal to the angle formed by the chord in the alternate segment”.

Now it is given that,

angle DEB = 71

Also given that B is the point on the circumference of the circle, and suppose “O” be the centre of the circle.

Now, AC is the tangent of the circle that passes through point B.

The tangent makes an angle ABD with the chord BD.

Now, given that ∠DEB = 71 in the alternate segment.

Now, we have to prove that ∠ABD = 71.

Thus, OD =OB (Both are the radii of the circle)

Also, ∠ODB = ∠OBD (since the angles opposite to the equal sides are equal)

Since, OBD is an isosceles triangle

∠BOD = 180° – ∠ODB – ∠OBD

∠BOD = 180° – 2∠OBD …(1)

Since, the line segment AC is the tangent line,

∠OBA = 90°

Therefore, ∠OBA = 90° – ∠OBD …(2)

From the equations (1) and (2), we can write

∠AOB = 2∠DEB

We know that the angle at the centre of the circle is twice the angle at the circumference of the circle.

∠BOD = 2∠DEB

∠DEB = (½)∠BOD

Now, substitute ∠BOD = 2∠DEB  in the above equation, we get

∠DEB = (½)2∠DEB

∠DEB = ∠DEB

⇒ ∠DEB =71

Thus, the required size of angle ABD is 71.

To learn more about angles :

https://brainly.com/question/19802083

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Answer:

m is the slope, and bb is the yy-intercept

this is the slope-intercept form of a line, y=mx + b, where it is clearly labeled using arrows that the slope is denoted by the letter m and the y-intercept is denoted by letter b

Answer:

y=3x-19

Step-by-step explanation:

-4=(5)(3)+b

-4=15+b

-19=b

y=3x-19

Answer:

81 books

Step-by-step explanation:

60 x 1.35 = 81

Answer: (-2.478, -2.174)

Step-by-step explanation:

the equation in slop intercept form are:

- y=1/3x - 3

-y= -8x - 22

Answer:

$89

Step-by-step explanation:

cost of the house is $534 as 6 PEOPLE are going to obtain the cost of a single person you have to divide the total value by 6

Answer:

Equation of the line is: [tex]x=6[/tex]

Step-by-step explanation:

We know that , the equation of any line parallel to y axis is :

[tex]x=k[/tex]    where [tex]k[/tex] ia a constant

And here it is given that the line is passing through the point P(6,-3)

Therefore, it will satisfy the equation [tex]x=k[/tex].

So, substitute [tex](6,-3)[/tex] in equation [tex]x=k[/tex], we get

[tex]k=6[/tex]

Hence the equation of line will be [tex]x=6[/tex]

Answer: Dividing by 4 is the inverse of multiplying by 4

Answer:

I think it is true

Step-by-step explanation:

I am not completely sure but yeah I think its true

Step-by-step explanation:

The commutative property and the associative property only apply to the operations of addition and multiplication.

TRUE

Answer:

Hi how are you doing today Jasmine