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4 years ago

9

A 12 foot ladder is leaning against the side of a building. The top of the ladder reaches 10 feet up the side of the building. A

pproximately how far is the bottom of the ladder from the base of the building.

1 answer:

Soloha48 [4]4 years ago

5 0

√135=3√15.....................

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What is the slope of the line represented by the equation y = -1/2x+ 1/4

kolbaska11 [484]

Answer:

y = mx+ b

m=slope

-1/2

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Mister Rogers is fencing another new rectangular garden in his neighborhood. One side of the garden faces the road and needs to

Oksanka [162]

Answer:

length of the pretty side and length of the side oppositte to the pretty side = 37.91 ft

length of the other two sides = 27.52 ft

Step-by-step explanation:

The mathematical problem is:

Max A = b1*h

subject to: 35*b1 + 18*(2*h + b2) <= 3000

Where

A: area of the garden

b1: length of the pretty side

b2: length of the side oppositte to the pretty side

h: length of the other two sides

Replacing with b1 = b2 and taking only the equality sign in the restriction (in the maximum all the money will be spent), we get:

35*b1 + 18*(2*h + b1) = 3000

35*b1 + 36*h + 18*b1 = 3000

53*b1 + 36*h = 3000

b1 = 3000/53 - (36/53)*h

Substituing in Area's formula

A = (3000/53 - (36/53)*h)*h

A = (3000/53)*h - (36/53)*h^2

In the maximum, the derivative of A is equal to zero

dA/dh = 3000/53 - 2*(36/53)*h =

3000/53 - 72/35*h = 0

h = (3000/53)*(35/72)

h = 27.52 ft

then,

b1 = 3000/53 - (36/53)*27.52

b1 = 37.91 ft =b2

3 0

3 years ago

Drag each number to the box on the right so it matches the value of the expression on the left. Each number may be used once, mo

Ymorist [56]

Answer:

$-62024.48$

Step-by-step explanation:

Given

$[ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5]$

Required

Solve

The question is poorly formatted; the only way to answer this is to place the result of each step in brackets until brackets cannot be used.

So, we have

$[ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5 ]$

Solve the expressions in the inner brackets

$[ 4 * 7 ] - 3 [ 2 \div 1 2 ] * 2 ( 8.4 ) * ( 4 ) [ 9 \div 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ]$

Solve all divisions

$[ 4 * 7 ] - 3 * \frac{1}{6} * 2 ( 8.4 ) * ( 4 ) [ 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ]$

$[28] - 0.5 * (16.8) * (4) [9] * (21.6) * [9.5]$

$[28] - 0.5 * (16.8) * [36] * (21.6) * [9.5]$

Multiply through

$28- 62052.48$

$-62024.48$

3 0

3 years ago

Simplify the following expressions using distributive property of multiplication 4(3x-1)

d1i1m1o1n [39]

Answer:

multiplication 4(3x-1)

12x-4

4 0

3 years ago

3) Ming and Amanda are selling pies for a school fundraiser. Customers can buy blueberry pics and lemon meringue pies. Ming sold

satela [25.4K]

Umm i think it would be 35$

5 0

3 years ago