An architectural drawing of a building shows the elevation of the basement floor to be –10 feet. The elevation of the roof is 40 feet. How far is it from the basement to the roof?

Answer:

1)Area; A = ¼πr²

Perimeter; P = πr/2 + 2r

2)A = 19.63 cm²

P = 17.85 cm

3) r = 8.885 cm

4) r = 14 cm

Step-by-step explanation:

This is a quadrant of a circle. Thus;

Area of a circle is πr². A quadrant is a quarter of a circle. Thus;

Formula for Quadrant Area is; A = ¼πr²

A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.

Formula for the quadrant perimeter in the image given is;

P = 2πr/4 + 2r

P = πr/2 + 2r

B) When r is 5 cm;

A = ¼π(5)²

A = 19.63 cm²

P = π(5)/2 + 2(5)

P = 17.85 cm

C) when A is 100cm²:

¼πr² = 100

r² = 100 × 4/π

r² = 78.9358

r = √78.9358

r = 8.885 cm

D) when P = 50 cm.

50 = πr/2 + 2r

50 = (½π + 2)r

r = 50/(½π + 2)

r = 14 cm

Answer:

27.38

Step-by-step explanation:

15.10 times 2 is 30.2

30.2+42.42=72.62

100-72.62=27.38

Answer:

67 1/2

Step-by-step explanation:

67 5/10

67 1/2

135 over 2  =67 and 1 over 2 =67.5  Answer:(67  1/2)

Answer: DO YOU LIKE SOMEONE? AND THAT IS MY QUESTION I CAN NEVER ANSWER :)  :P

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

4(x+3)+3(5-x)

=4x+12+15-3x

=x+27

Answer:

A. x+27

Step-by-step explanation:

Answer:

i will try to help you

Step-by-step explanation:

Hey there!

The vertical angles in the diagram shown are 2 and 3, and 1 and 4, because they are formed by 2 intersecting lines and are across from eachother.

Hope it helps and have a good day!

Answer:

15% of 58

15÷100×58

may this help u

Answer: $ 8.70

Step-by-step explanation: 0.15 x 58 = 8.7

Answer: they printed 40,978 pages in a week

Answer:

60

Step-by-step explanation:

the answer willllll be 6 units

Answer:

I think it would be -4x-6y+12

Answer:

10

Step-by-step explanation:

Plug in the values to "x" and "y" and solve.

Solve:

2(2) - 3(2(2) - 1(2) - 4)

2(2) - 3(4 - 1(2) - 4)

2(2) - 3(4 - 2 - 4)

2(2) - 3(-2)

4 - 3(-2)

4 + 6

10

Your answer would be 10.

Answer:

Lets solve it

4x-3 <5

4x<5+3

4x<8

x<8/4

x<2

So yes, two is a solution

Step-by-step explanation:

Answer:

[tex]4(2) - 3 \leqslant 5 \\ \: \: 8 - 3 \leqslant 5 \\ 5 \leqslant 5[/tex]

I believe the answer is

[tex]yes[/tex]

Step-by-step explanation:

i hope this helps!

Answer:

if your asking for the -2(x+4)=8 equation its -8

Hey there!

First, use the Distributive Property and distribute -2:

-2(x+4)=8

-2x-8=8

Add 8 to both sides:

-2x=8+8

-2x=16

Divide both sides by -2:

x=-8

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

Answer Given By:

~Someone Who Loves Helping Others

Answer:

9

Step-by-step explanation:

27/3=9. 9x3=27

Answer:

The 1st, 2nd, and 4th ones are the answer

Step-by-step explanation:

Answer:

give a full picture bruv

Answer:

The first choice

Step-by-step explanation:

y = mx+b

y = -3x+b

4 = -3*-1 + b

4 = 3 + b

b = 1.

Answer:

The cost of

A small bucket = x = $8

A Larger bucket = y = $13

Step-by-step explanation:

Let the cost of

A small bucket = x

A Larger bucket = y

Kim sold 3 small buckets and 14 large buckets of popcorn for a total of $206.

3x + 14y = 206... Equation 1

Melody sold 11 small buckets and 11 large buckets of popcorn for a total of $231.

11x + 11y = 231.... Equation 2

What is the cost for a small bucket and a large bucket of popcorn?

3x + 14y = 206... Equation 1

11x + 11y = 231 ....... Equation 2

We solve using Elimination method

Multiply Equation 1 by 11 and Equation 2 by 3 to Eliminate x

33x + 154y = 2266.... Equation 3

33x + 33y = 693....... Equation 4

We subtract Equation 4 from Equation 3

121y = 1573

y = 1573/121

y = $13

Solving for x

3x + 14y = 206... Equation 1

3x + 14 × 13 = 206

3x + 182 = 206

3x = 206 - 182

3x = 24

x = 24/3

x = $8

Hence, the cost of

A small bucket = x = $8

A Larger bucket = y = $13

Answer:

33 and -39

Step-by-step explanation:

Angle on a straight line = 180

|5x + 15| = 180 and |5x + 15| = -180

5x + 15 = 180

Subtract 15 from both sides;

5x = 165

Divide both sides by 5;

x = 33

5x + 15 = -180

Subtract 15 from both sides;

5x = -195

Divide both sides by 5;

x = -39

Answer:

the reasoning for 1 2 and 3 are given and then the statement for 4 is triangle abc = triangle cde and its reasoning is sss theorem (side-side-side)

Step-by-step explanation:

1, 2 and 3 are basically given and then 4 is SSS Theorem since all three sides of the first triangle are equal to all three sides of the second triangle

Answer: multiply by 2

Step-by-step explanation: this will cancel the denominator on the left side

Answer:

Answer:

x= 1/3 or x=4

Step-by-step explanation:

Let's solve your equation step-by-step.

3x2−13x+4=0

Step 1: Factor left side of equation.

(3x−1)(x−4)=0

Step 2: Set factors equal to 0.

3x−1=0 or x−4=0

x= 1/3or x=4

plz give brainlyest

Step by step explanation :

❃ [tex] \underline{ \underline{ \sf{Given} }}: [/tex]

❃ [tex] \underline{ \underline{ \sf{To \: find}} }: [/tex]

✑ [tex] \bold{ \red{ \boxed{ \sf{Area \: of \: a \: parallelogram \: = bh}}}}[/tex]

Substitute the known values :

⇝ [tex] \sf{21 cm \times 9 \: cm}[/tex]

⇝ [tex] \boxed{ \bold{ \sf{189 \: {cm}^{2} }}}[/tex]

☥ [tex] \boxed{ \boxed{ \tt{Our \: final \: answer : \bold{ 189 \: {cm}^{2} }}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ツ

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Answer: A is correct

Step-by-step explanation:

all possible chances between two people are 100 different possibilities. Once you add the possibilities, you can see there is 15 balloons with the medium prize. Multiply 15 by 2 and you'll get 30/100, which simplifies to 3/10