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2 years ago

a 4-meter ladder leans up a wall the foot of the ladder is 2 meters away from the wall how far up the wall will the ladder reach

Mathematics

1 answer:

svlad2 [7]2 years ago

7 0

The answer is 3.46 meters

You can get the answer by using the pythagorean theorem, since the ladder and the wall form a right triangle.

c^2 = a^2 + b^2
4^2 = 2^2 + b^2
16 = 4 + b^2
12 = b^2
b = sqrt(12) or 3.46 meters

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Find the sum of the first 6 terms of 3 - 6 + 12 + …

Natalka [10]

Answer:

$S_6 = -63$

Step-by-step explanation:

The sequence above is a geometric sequence.

The common ratio (r) = $\frac{-6}{3} = \frac{12}{-6} = -2$

The common ratio < 1, therefore, the formula for the sum of nth terms of the sequence would be: $S_n = \frac{a_1(1 - r^n)}{1 - r}$

a1 = 3

r = -2

n = 6

Plug in the values into the formula

$S_6 = \frac{3(1 - (-2^6)}{1 - (-2)}$

$S_6 = \frac{3(1 - (64)}{1 + 2}$

$S_6 = \frac{3(-63)}{3}$

$S_6 = -63$

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3 years ago

Ice Cold Creamery will give a free ice cream maker to anyone who spends at least $100 on buckets of ice cream and frozen yogurt.

kotykmax [81]

Given:

Free ice cream maker to anyone who spends at least $100 on buckets of ice cream and frozen yogurt.

Each bucket of ice cream costs $7.28

Each bucket of frozen yogurt costs $8.21.

To find:

The inequality represents number of ice cream and frozen yogurt that she may buy in addition to get a free ice cream maker.

Solution:

Let i be the number of buckets of ice cream and y be the number of buckets of frozen yogurt.

According to the question, total amount spend on both must be greater than or equal to $100 to get a free ice cream maker.

$7.28i+8.21y\geq 100$

$8.21y\geq 100-7.28i$

Divide both sides by 8.21.

$y\geq \dfrac{100-7.28i}{8.21}$

Therefore, the required inequality is $y\geq \dfrac{100-7.28i}{8.21}$ .

8 0

2 years ago

The length of a rectangle is twice the with. If the perimeter of the rectangle is 60 units, find the area of the garden

Darya [45]

w - width

2w - length

60 - perimeter

w + w + 2w + 2w = 6w - perimeter

The equation:

6w = 60 <em>divide both sides by 6</em>

w = 10 → 2w = 2 · 10 = 20

The area: A = width × length

A = (10)(20) = 200

<h3>Answer: The area of the garden is equal 200 square units.</h3>

4 0

2 years ago

What percent of 315 is 63?

telo118 [61]

Answer:

20%

Step-by-step explanation:

Write the problem as a mathematical expression.

63/315

Convert to decimal

0.2

Times by 100

0.2 times 100

20%

3 0

2 years ago

For the love of God, please answer this.<br> thanks, W.

Andrew [12]

The equation of the perpendicular line will be y = (4/3)x.

<h3>What is a linear equation?</h3>

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Then the equation of the perpendicular line will be given as

y = - (1 / m)x + c

The equation of line is y = -3/4 x + 1.

Then the equation of the perpendicular line will be

y = 4/3 x + c

The equation is passing through (9, 12), then we have

12 = 4/3 (9) + c

12 = 12 + c

c = 0

Then the equation of the perpendicular line will be y = (4/3)x.

More about the linear equation link is given below.

brainly.com/question/11897796

#SPJ1

8 0

1 year ago