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3 years ago

Find n and r 10 pointsss

Mathematics

1 answer:

Leya [2.2K]3 years ago

3 0

Answer/Step-by-step explanation:

The two triangles we have in the diagram shar the same vertex. They are both similar triangles. Therefore, their side lengths would be proportional.

This means:

$\frac{9.8}{4.3} = \frac{r}{5.1} = \frac{n}{2.7}$

Solve for variable r and n respectively.

Thus:

$\frac{9.8}{4.3} = \frac{r}{5.1}$

Multiply both besides by 5.1

$\frac{9.8}{4.3} \times 5.1 = \frac{r}{5.1} \times 5.1$

$\frac{9.8 \times 5.1}{4.3} = r$

11.6 = r (nearest tenth)

Also,

$\frac{9.8}{4.3} = \frac{n}{2.7}$

Multiply both besides by 2.7

$\frac{9.8}{4.3} \times 2.7 = \frac{n}{5.1} \times 2.7$

$\frac{9.8 \times 2.7}{4.3} = r$

6.2 = n (nearest tenth)

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Please solve this question faaaast

Kazeer [188]

Answer:

300-400

Step-by-step explanation:

The first step is finding the total of the data we have. So, we take 5 + 10 + 15 + 20 + 25 + 15 + 10 which equals 80.

The median is the middle point of all the data. If it's an odd number, you can calculate the median with the equation (n+1) / 2, plugging in the total amount of data for n.

When it's an even number though, there is no one middle point since the data splits evenly in 2, so we have to use 2 equations: n/2 & (n/2) + 1. Then, we find the average of those two data points. (Although, you don't have to do that for this particular question).

When we plug 80 in for n in both of these equations, we get 40 and 41.

To where this is in the question, we have to count up from the bottom of the chart. 1-5 is below 100, 6-15 is 100-200, 16-30 is 200-300, and 31-50 is 300-400.

Since 40 and 41 are between 31 and 50, the answer is 300-400.

Hope this helps! :)

6 0

2 years ago

which equation, written in standard form correctly represents this scenario and indicates what the variables represent?

pishuonlain [190]

The answer is the third option.

The explanation is shown below:

1. You must keep on mind the information given in the exercise:

- She bough 3 pounds of coffee.

- She bought 2 pounds of chocolate.

- She spent a total of $24.

2. Therefore, you can call the price per pound of coffee $x$ and the price per pound of chocolate $y$ .

3. When you multiply 3 pounds by the price per pound of coffee, you obtain the amount of money she spent for 3 pounds. When you multiply 2 pounds by the price per pound of chocolate, you obtain the amount of money she spent for 2 pounds. If you add both amounts, you obtain the total spent, which was $24.

4. Therefore, you can express this as following:

$3x+2y=24$

5 0

3 years ago

Which one is greater 2/3 or 4/5

Reptile [31]

2/3 because it’s out of 3, if you cut a pizza in 3 slices the slices are bigger and if u take 2 out of the three the remaining piece is bigger than the 4/5 because those 5 pieces will be cut smaller

3 0

3 years ago

Read 2 more answers

At what point does the curve have maximum curvature? Y = 4ex (x, y) = what happens to the curvature as x → ∞? Κ(x) approaches as

MAXImum [283]

<u>Answer-</u>

At $x= \frac{1}{2304e^4-16e^2}$ the curve has maximum curvature.

<u>Solution-</u>

The formula for curvature =

$K(x)=\frac{{y}''}{(1+({y}')^2)^{\frac{3}{2}}}$

Here,

$y=4e^{x}$

Then,

${y}' = 4e^{x} \ and \ {y}''=4e^{x}$

Putting the values,

$K(x)=\frac{{4e^{x}}}{(1+(4e^{x})^2)^{\frac{3}{2}}} = \frac{{4e^{x}}}{(1+16e^{2x})^{\frac{3}{2}}}$

Now, in order to get the max curvature value, we have to calculate the first derivative of this function and then to get where its value is max, we have to equate it to 0.

${k}'(x) = \frac{(1+16e^{2x})^{\frac{3}{2} } (4e^{x})-(4e^{x})(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x})}{(1+16e^{2x} )^{2}}$