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-Dominant- [34]
3 years ago
14

The sides of a quadrilateral are in ratio 1:2:3:4 if the perimeter is 40cm. find the length of each sides​

Mathematics
1 answer:
m_a_m_a [10]3 years ago
5 0
1:2:3:4= 4:8:12:16
Explanation:
Add 1,2,3,4 then divide by 40 which gives you 4.
Then put those in the ratios given :)
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Determine the values of the constants b and c so that the function given below is differentiable. f(x)={2xbx2+cxx≤1x>1
Lera25 [3.4K]
Assuming the function is

f(x)=\begin{cases}2x&\text{for }x\le1\\bx^2+cx&\text{for }x>1\end{cases}

For f(x) to be differentiable, it necessarily has to be continuous. For this condition to be met, we need

\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^+}f(x)=f(1)
\iff\displaystyle\lim_{x\to1}2x=\lim_{x\to1}(bx^2+cx)
\iff2=b+c

For the derivative to exist, the one-sided limits of the derivative must also exist and be equal. We have

f'(x)=\begin{cases}2&\text{for }x1\end{cases}

\displaystyle\lim_{x\to1^-}2=\lim_{x\to1^+}(2bx+c)
\iff2=2b+c

Now we solve for b and c:

\begin{cases}b+c=2\\2b+c=2\end{cases}\implies b=0,c=2
5 0
3 years ago
Big Lots sells AA batteries for $ 5.88 you git a pack of 12. Walmart has the same batteries for $8.82 you git a pack of 18 batte
Bas_tet [7]

Answer: Neither, Both Unit Prices are equal.

Step-by-step explanation: In order to find the unit price of an item, you divide the quantity by the price. In this case, the Big Lots would be 5.88/12 which equals 49 cents. The Walmart Batteries are 8.82/18 which is also 49 cents. So both batteries are the same price, you should buy the better quality battery in this situation.

6 0
3 years ago
Seiji and Gavin both worked hard over the summer. Together they earned a total of $450. Gavin earned $30 more than seiji.
jok3333 [9.3K]

Answer:

(a) s+g=450\\g=s+30

(b) The graph is shown below.

(c) Seiji earned $ 210 and Gavin earned $ 240.

Step-by-step explanation:

Given:

Sum of earnings of Seiji and Gavin = $ 450

Gavin earns $ 30 more that that of Seiji.

(a)

So, as per question, if s and g are the amounts earned by Seiji and Gavin respectively, then;

s+g=450\\g=s+30

(b)

The graph is plotted using the x and y intercepts of each line.

For the line, s+g=450, the x intercept is at g=0. So, x intercept is (450,0). Similarly, the y intercept is when s=0, which is (0,450). Draw a line passing through these two points. The red line represents s+g=450.

We follow the same process to plot the next line. The x intercept is at (-30,0) and y intercept is at (0,30). Draw a line passing through these two points. The blue line represents g=s+30.

The graph is shown below.

(c)

From the graph, the point of intersection of the two lines gives the earnings of each of the persons.

The x value of the point of intersection is the earning of Seiji which is $ 210 and the y value is the earning of Gavin which is $ 240 as shown in the graph.

Therefore, Seiji earned $ 210 and Gavin earned $ 240.

3 0
3 years ago
PLZ PLZ PLZ PLZ HELP ME WITH THIS QUESTION
soldi70 [24.7K]
Ur answer is c



dbjdbdnsbsjeej have a good day
8 0
3 years ago
Read 2 more answers
A new park was designed to contain two circular gardens. Garden A has a diameter of 50 m, and garden B has a diameter of 70 m. T
Nastasia [14]

Answer:

5,811.95\  m^2 of fabric.

Step-by-step explanation:

-The amount of fabric needed is equivalent to the  area of the two gardens.

-We calculate the combined areas as:

A=A_s+A_b\\\\=\pi r^2+\pi R^2\\\\=\pi(25^2+35^2)\\\\=1850\pi \ m^2\\\\=5811.95\ m^2

Hence, 5811.95 sq meters of fabric will be needed to cover the area of both gardens.

5 0
3 years ago
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