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3 years ago

What is the value of x? Enter your answer in the box. x =

Mathematics

1 answer:

nikklg [1K]3 years ago

4 0

Answer:

x = 20

Step-by-step explanation:

To find the value of x, write a proportion between the two similar triangles.

A proportion is an equation of equal ratios.

$\frac{11}{11+121}=\frac{10}{10+5x+10} \\\\\frac{11}{132} = \frac{10}{5x + 20}$

To solve cross multiply the numerator and denominator of each fraction.

11(5x+20) = 132(10)

55x + 220 = 1320

55x = 1,100

x = 20

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3 years ago

What value will make the equation true?

Viktor [21]

Answer:

-.6

Step-by-step explanation:

-2.1 - x = -1 1/2

Change the fraction to a decimal

-2.1 -x = - 1.5

Add 2.1 to each side

-2.1 -x+2.1 = -1.5 +2.1

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3 years ago

Let f(x)=x^2f ( x ) = x 2. Find the Riemann sum for ff on the interval [0,2][ 0 , 2 ], using 4 subintervals of equal width and t

sladkih [1.3K]

Answer:

$A_L=1.75$

Step-by-step explanation:

We are given:

$f(x)=x^2$

$interval = [a,b] = [0,2]$

Since $n = 4$ ⇒ $\Delta x = \frac{b-a}{n} = \frac{2-0}{4}=\frac{1}{2}$

Riemann sum is area under the function given. And it is asked to find Riemann sum for the left endpoint.

$A_L= \sum\limits^{n}_{i=1}\Delta xf(x_i) = \frac{1}{2}(0^2+(\frac{1}{2})^2+1^2+(\frac{3}{2})^2)=\frac{7}{4}=1.75$

Note:

If it will be asked to find right endpoint too,

$A_R=\sum\limits^{n}_{i=1}\Delta xf(x_i) =\frac{1}{2}((\frac{1}{2})^2+1^2+(\frac{3}{2})^2+2^2)=\frac{15}{4}=3.75$

The average of left and right endpoint Riemann sums will give approximate result of the area under $f(x)=x^2$ and it can be compared with the result of integral of the same function in the interval given.

So, $(A_R+A_L)/2 = (1.75+3.75)/2=2.25$

$\int^2_0x^2dx=x^3/3|^2_0=8/3=2.67$

Result are close but not same, since one is approximate and one is exact; however, by increasing sample rates (subintervals), closer result to the exact value can be found.

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3 years ago

What is 32% of 275?

-Dominant- [34]

The answer to 32% of 275 is 88. Hope this helped! :)

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2 years ago

Read 2 more answers

James used a calculator to evaluate 8.931×7.38 but forgot to enter the decimal points. The answer he got was 6 591 078. What sho

likoan [24]

Answer:

65.91078

Step-by-step explanation:

You add the two decimals, that gives you two decimals. Use those two decimals and place them to the right of the answer. =0)

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2 years ago