2 years ago

PLEASE HELP 10 POINTS

Mathematics

1 answer:

trapecia [35]2 years ago

6 0

Answer:

Angle 1 and Angle 3 are both 38 degrees. Angle 2 is 142 degrees.

Step-by-step explanation:

Angle 1 and 3 are the same size and both supplementary to Angle 4.

180 - 142 = 38 degrees

Angle 2 and Angle 4 are going to be the same size since they are vertical angles so 142 degrees

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prisoha [69]

Split up the interval [0, 2] into 4 subintervals, so that

$[0,2]=\left[0,\dfrac12\right]\cup\left[\dfrac12,1\right]\cup\left[1,\dfrac32\right]\cup\left[\dfrac32,2\right]$

Each subinterval has width $\dfrac{2-0}4=\dfrac12$ . The area of the trapezoid constructed on each subinterval is $\dfrac{f(x_i)+f(x_{i+1})}4$ , i.e. the average of the values of $x^2$ at both endpoints of the subinterval times 1/2 over each subinterval $[x_i,x_{i+1}]$ .

So,

$\displaystyle\int_0^2x^2\,\mathrm dx\approx\dfrac{0^2+\left(\frac12\right)^2}4+\dfrac{\left(\frac12\right)^2+1^2}4+\dfrac{1^2+\left(\frac32\right)^2}4+\dfrac{\left(\frac32\right)^2+2^2}4$

$=\displaystyle\sum_{i=1}^4\frac{\left(\frac{i-1}2\right)^2+\left(\frac i2\right)^2}4=\frac{11}4$

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2 years ago

A garden is 30 feet long. a row of beans is planted every 15 inches. how many rows of beans are in the garden? a. 20 rows b. 24

Anettt [7]

Answer:

b) 24 rows

Step-by-step explanation:

12 inches = 1 foot

Since we are doing 30 feet, multiply 12 by 30

12 · 30 = 360 inches

Then, divide the total length (360 inches) by the spacing size (15 inches)

360 ÷ 15 = 24 rows total

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2 years ago

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