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3 years ago

Explain why these answers are true.

Mathematics

1 answer:

Dmitry [639]3 years ago

4 0

Answer:

A, i actullay dont know i just want the piont and this was a long time ago so he doesnt need it

Step-by-step explanation:

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Which shapes have parallel sides

guajiro [1.7K]

Answer:

All parallelograms have at least 1 parallel side.(Rectangles,squares,rhombuses,etc.)Trapezoids also have parallel sides.

Step-by-step explanation:

3 0

3 years ago

An airplane needs to head due north, but there is a wind blowing from the northeast at 50 km/hr. The plane flies at an airspeed

laiz [17]

Answer: $\theta =2.415^{\circ}$

Step-by-step explanation:

Using vector method to solve it

Resultant can be given by

$R^2=700^2+40^2+2\times 700\times 40cos135$

$R^2=450,408$

R=671.12 Km/hr

The angle made by resultant with 700 km/hr is $\theta$

using sine rule

$\frac{40}{sin\theat }=\frac{R}{sin45}$

$sin\theta =0.0421509$

$\theta =2.415^{\circ}$

8 0

2 years ago

A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s

Setler [38]

Answer:

$310\text{ feet and }210\text{ feet}$

Step-by-step explanation:

GIVEN: A farmer has $520 \text{ feet}$ of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is $310 \text{ feet}$ .

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be $x$ and $y$

perimeter of rectangular pen $=2(x+y)=520\text{ feet}$

$x+y=260$

$y=260-x$

area of rectangular pen $=\text{length}\times\text{width}$

$=xy$

putting value of $y$

$=x(260-x)$

$=260x-x^2$

to maximize $\frac{d \text{(area)}}{dx}=0$

$260-2x=0$

$x=130\text{ feet}$

$y=390\text{ feet}$

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen $=310\text{ feet}$

width of rectangular pen $=210\text{ feet}$

Maximum area of rectangular pen $=310\times210=65100\text{ feet}^2$

Hence maximum area of rectangular pen is $65100\text{ feet}^2$ and dimensions are $310\text{ feet and }210\text{ feet}$

5 0

3 years ago

If the ratio of red hair bands to green hair bands is 5 to 9 with a total of 70, how many are green

Eduardwww [97]

$5x-\ red\\9x-\ green\\\\5x+9x=70\\
14x=70\ \ \ | divide\ by\ 14\\\\
x=5\\\\
9x=9*5=45\\\\
There\ are\ 45\ green.$

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=-8%5E%5Cfrac%7B1%7D%7B3%7D" id="TexFormula1" title="-8^\frac{1}{3}" alt="-8^\frac{1}{3}" align

Charra [1.4K]

9514 1404 393

Answer:

-2

Step-by-step explanation:

-8^(1/3) = -(2^3)^(1/3) = -(2^(3/3)) = -2

6 0

3 years ago