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Norma-Jean [14]

2 years ago

12

The length of a rectangle is 3 inches longer than half of its width. The area of the rectangle is 416 square inches. How many in

ches in width is the rectangle?
16 inches
19 inches
26 inches
32 inches

1 answer:

Pie2 years ago

8 0

Answer:

C. 26 Inches

Step-by-step explanation:

Using process of elimination you can tell the answer. 26*(13+3)=416

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2 years ago

Read 2 more answers

Maggie only wore sandals tracker on two of the days that she trained so from her fitness trackers she verified that on the third

KIM [24]

We know form our problem that the third day she biked 20 miles, so we have the point (3,20). We also know that <span>on the eighth day she biked 35 miles, so our second point is (8,35).

To relate our two point we are going to use the slope formula: </span> $m= \frac{x_{2}-x_{1}}{y_{2}-y_{1}}$
We can infer form our points that $x_{1}=3$ , $y_{1}=20$ , $x_{2}=8$ , and $y_{2}=35$ . so lets replace those values in our slope formula:
$m= \frac{35-20}{8-3}$
$m= \frac{15}{5}$
$m=3$

Now that we have the slope, we can use the point-slope formula <span>determine the equation of the line that best fit the set for Maggie’s data.
Point-slope formula: </span> $y-y_{1}=m(x-x_{1})$
$y-20=3(x-3)$
$y-20=3x-9$
$y=3x+11$

We can conclude that the equation of the line that best fit the set for Maggie’s data is $y=3x+11$ .

3 0

3 years ago

an open rectangular cardboard box with a square base is to have a volume of 256cm^3. Find the dimensions of the box if the area

Anit [1.1K]

Let
x------> the length side of the square base of the box
y-------> the height of the box

we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²--------> equation 1

<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>

surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x

step 1
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm

the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm

5 0

2 years ago

Helpppp please anyone. I don't understand

vovikov84 [41]

The area is 21cm squared. u would have to find the length of the bottom triangle which is 14. than multiply that by the height which is 3. finally divide that all by 2 and youll get the area

7 0

2 years ago

George had 50.00 he bought a pair of pants for 39.59 and a tire for 8.75 what is the total amount of money that he has left

noname [10]

$1.66 because 50-39.59=10.40 so it would also add $8.75 so that = $1.66

3 0

2 years ago