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2 years ago

A six-meter-long ladder is leaned against a building. If the ladder makes

Mathematics

2 answers:

Dima020 [189]2 years ago

8 0

The base of the ladder would be 3 meters away from the wall

e-lub [12.9K]2 years ago

4 0

Answer:

Step-by-step explanation:

Answer and Explanation: The length of the ladder = 6 m . The angle made by the ladder with the ground = 60o . Let us assume that the distance of the ladder from the wall = x meters. Here, x is the adjacent side to the angle 60o and 6 is the hypotenuse.

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Find the slope of the graph

zhuklara [117]

Answer:

Slope = $\frac{3}{2}$

Step-by-step explanation:

Slope = $\frac{6}{4} =\frac{3}{2}$

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2 years ago

What are the points for f(x)=3^(x-1)-2

Savatey [412]

Answer: (0, -1 $\frac{2}{3}$ ), (1, -1), (2, 1)

Step-by-step explanation:

Set the exponent equal to zero - that is your anchor point.

Then choose an x-value less than and greater than the anchor point.

$\left\begin{array}{c|c|l}&\underline{\quad x\quad }&\underline{\qquad \qquad f(x)\qquad \qquad \qquad \quad }\\\text{less than anchor}&0&3^{0-1}-2=3^{-1}-2=\frac{1}{3}-2 = -1\frac{2}{3}}\\\\anchor\ point&1&3^{1-1}-2=3^{0}-2=1-2 = -1}\\\\\text{greater than anchor}&2&3^{2-1}-2=3^{1}-2=3-2 = 1}\end{array}\right$

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3 years ago

F(x)=-x^(2)+6 find(-1)

kap26 [50]

Answer:

Step-by-step explanation:

When,x= -1

Now,

f(-1)=-(-1)^2+6

=1+6

Hope it helped you.

7 0

2 years ago

Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. What is the

vodomira [7]

Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. The rate of change is 391.5 % increase

Solution:

Given that Two years ago, Sally had 5,000 dogs in her dog shelter

Now she has 24,575 dogs

To find: rate of change

A rate of change is a rate that describes how one quantity changes in relation to another quantity

<h3>Steps to follow:</h3>

First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number.

Then: divide the increase by the original number and multiply the answer by 100.

% change = Increase ÷ Original Number x 100

$\text {rate of change }=\frac{\text { new value }-\text {original value}}{\text {original value}} \times 100$

$\begin{array}{l}{\text { rate of change }=\frac{24,575-5000}{5000} \times 100} \\\\ {\text { rate of change }=\frac{19575}{5000} \times 100=391.5}\end{array}$

Thus the rate of change is 391.5 % increase

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2 years ago

Solve for t. 3t - 18 = 4(-3-3/4t). t=

Alex73 [517]

Answer:T=1

Step-by-step explanation:

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2 years ago

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