Simplify the answer 21/10+5/10

For five days Vicki recorded the temperature outside. The temperature (°F) was 36.9°, 34.6°, 37°, 40.2°, 32.8°. About what was t

storchak [24]

Answer:

C) 36

Step-by-step explanation:

You have to add all the numbers together and then divide by the amount of numbers, in your case 5.

5 0

3 years ago

Sam created a porch that was part wooden and part concrete, as shown in the figure below. Note: Figure not drawn to scale If a =

rjkz [21]

Youre gonna have to upload a picture of the porch, "figure below"

3 0

3 years ago

Which of the following statements are false?

VikaD [51]

well, a and d are true, and b is somewhat false...

angles that are both less than 90 degrees and higher than 0 have to add up to equal 90, not just be less than 90

c, is the same thing. Straight angles are 180 degrees, but supplementary means two angles add up to equal 180 degrees, not just one

so b and c may be true, im not sure

i know that a and d are true, therefore they are not the right answer

7 0

3 years ago

Read 2 more answers

Write an equation of the line that passes through (1,2) and is perpendicular to the line y= 1/3x+4

zvonat [6]

Slope-intercept form: y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction(switch the numerator and the denominator))

For example:

Slope = 2 or $\frac{2}{1}$

Perpendicular line's slope = $-\frac{1}{2}$ (flip the sign from + to -, and flip the fraction)

Slope = $-\frac{3}{4}$

Perpendicular line's slope = $\frac{4}{3}$ (flip the sign from - to +, and flip the fraction)

y = 1/3x + 4 The slope is 1/3, so the perpendicular line's slope is $-\frac{3}{1}$ or -3.

Now that you know the slope, substitute/plug it into the equation:

y = mx + b

y = -3x + b To find b, plug in the point (1, 2) into the equation, then isolate/get the variable "b" by itself

2= -3(1) + b Add 3 on both sides to get "b" by itself

2 + 3 = -3 + 3 + b

5 = b

y = -3x + 5

5 0

3 years ago

A piece of wire 28 ft long is cut into two pieces. One piece is used to form a square, and the remaining piece is used to form a

marusya05 [52]

Answer:

Wire should be cut in two parts with the length = 15.69 ft and 12.31 ft

Step-by-step explanation:

Length of the wire = 28 ft has been cut in two pieces.

One piece is used to form a square and remaining piece to form a circle.

Let the length of the wire which forms the square is 'l' ft.

Area of the square = (side)²

Perimeter of the square = 4(side) = l

Length of one side = $\frac{l}{4}$

So, the area of the square = $\frac{l^{2}}{16}$ ft²

Now length of the remaining part = perimeter of the circle = (28 - l) ft

2πr = (28 - l)

r = $\frac{28-l}{2\pi }$

Area of the circle formed = πr²

= $\frac{\pi(28-l)^{2} }{4(\pi )^{2} }$

= $\frac{(28-l)^{2}}{4\pi }$

Combined area of the square and circle

= $\frac{l^{2}}{16}$ + $\frac{(28-l)^{2}}{4\pi }$

Now to maximize the area we will find the derivative of the area with respect to l.

$\frac{dA}{dl}=\frac{d}{dl}[\frac{l^{2}}{16}+\frac{(28-l)^{2}}{4\pi}]$

= $\frac{d}{dl}[\frac{l^{2}}{16}+\frac{(28)^{2}+l^{2}-56l }{4\pi }]$

= $\frac{2l}{16}+\frac{(2l-56)}{4\pi }$

Now equate the derivative to zero.

$\frac{2l}{16}+\frac{(2l-56)}{4\pi }$ = 0

$(2l-56)=-\frac{2l}{16}\times 4\pi$

$(2l-56)=-\frac{\pi l}{2}$

$2l+\frac{\pi l}{2}=56$

$\frac{(4l+l\pi )}{2}=56$

l(4 + π) = 112

l(4 + 3.14) = 112

l = $\frac{112}{7.14}$

l = 15.69 ft

Length of the other part = 28 - 15.69 = 12.31 ft

Therefore, wire should be cut in two parts with the length = 15.69 ft and 12.31 ft

8 0

3 years ago