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sergejj [24]
3 years ago
9

Please help me... :)

Mathematics
1 answer:
ozzi3 years ago
3 0

Part 1

There are many ways to go about this, but one possibility is the following:

You are building a tree house. Your ladder is 10 feet long and the portion in the tree you're trying to get to is 8 feet off the ground. How far should the base of the ladder be from the tree so you can reach that portion?

==========================================================

Part 2

The drawing is shown below. The diagram is shown in 2D to keep things as simple as possible. Adding a third dimension greatly complicates everything.

We have a right triangle, so it has a 90 degree angle as shown by the square marker. The vertical leg is 8 feet. The horizontal leg is unknown. The hypotenuse (longest side) is 10 feet long to indicate the ladder.

==========================================================

Part 3

Use the pythagorean theorem to get...

a^2 + b^2 = c^2

x^2 + 8^2 = 10^2

x^2 + 64 = 100

x^2 = 100-64

x^2 = 36

x = sqrt(36)

x = 6

The base of the ladder should be 6 feet away from the tree, so that you can reach 8 feet off the ground.

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A researcher collects data on the relationship between the amount of daily exercise an individual gets and the percent body fat
fredd [130]

Answer: approximately 24

Step-by-step explanation:

We need to plot a regression line.

So we fit a model using the regression of Y on X, that an equation that predict Y for a given X using:

(Y -mean(Y ))= a(X-meanX)...........1

Where the formular of a is given the attachment.

N= the of individuals = 5

Y = amount of fat

X = time of exercise

mean(X )= sum of all X /N

= 131/5 = 26.2

mean(Y) = sum of all Y/N

= 104/5 = 20.8

a = N(SXY) - (SX)(SY)/ NS(X²) -(SX)²......2

SXY = Sum of Product X and Y

SX= sum of all X

SY = Sum of all Y

S(X²)= sum of all X²

(SX) = square of sum of X

a = -0.478

Hence we substitute into 1

Y-20.8 = -0.478 (X-26.2)

Y -20.8 = -0.478X - 12.524

Y = -0.478X + 33.324 or

Y = 33.324 - 0.478X (model)

When X = 20

Y = 33.324 - 0.478 × 20

Y = 33.324 - 9.56

Y = 23. 764

Y =24(approximately)

Carefully meaning of formula used in attachment to the solution they are the same.

4 0
3 years ago
Write an exponential function to model the following situation
Dominik [7]

Answer:

y = 140000(1.04)^{x}; 262 000

Step-by-step explanation:

The general formula for an exponential function is

y = a(b)^{x}

a = 140 000; b = 1.04; x = 16

y = 140000(1.04)^{x}

y = 140 000(1.04)¹⁶

y = 140 000 × 1.873

y = 262 000

The graph below shows the population growth over time.

7 0
3 years ago
Between the time Iko woke up and lunchtime,the temperature rose by 11.Then by the time he went to bed,the temperature dropped by
dimaraw [331]

Answer:

<u></u>

  • <u>11 + ( - 14)</u>

Explanation:

The complete question is:

<em>Between the time iko woke up and lunchtime, the temperature rose by 11º. Then by the time he went to bed, the temperature dropped by 14º.</em>

<em />

<em>Write an addition expression for the temperature relative to when iko woke up. </em>

<em />

<h2>Solution</h2>

It is said that between the time Iko woke up and lunchtime, the temperature rose by 11 degrees. A rise means the temperature increased and you must add 11º.

Then, relative to when Iko woke up the temperature is:

  • + 11º

Then, by the time Iko went to bed, the temperature dropped by 14º. A drop means that the change is negative. This means that you must add a negative number, and the additive expression is:

  • +  11º + (- 14º).

If you want the overall change in temperature you do the operation:

  • 11 + (-14) =  11 - 14 = - 3. A net decrease of 3º.

But the answer to this question is the additive expression:

  • 11 + ( - 14) ← answer
4 0
3 years ago
PLEASSS HELPPPP
Lera25 [3.4K]

Answer:

-11 + 4

Step-by-step explanation:

When you subtract a negative the sign will  switch to plus, so it this case you would switch the - (-4) to a + 4 but you don't change the -11 at the front.

6 0
3 years ago
Please someone should help me out​
ki77a [65]

Answer:

6cm is the missing length

Step-by-step explanation:

See the 10cm and the 4cm?

If you look at in a way if you added 6 more centimeters to the 4cm it would be 10, leaving 6cm as the missing length.

8 0
3 years ago
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