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2 years ago

Use graph to answer the question

Mathematics

1 answer:

Vesna [10]2 years ago

6 0

Answer: $36.86^{\circ}$

Step-by-step explanation:

Given

Coordinates of Point A is $(-3,-4)$ i.e. Point A is 3 units to the left and 4 units below x-axis

From figure, we can write

$\Rightarrow \tan \theta =\dfrac{3}{4}\\\\\Rightarrow \theta=\tan^{-1}\left(\dfrac{3}{4}\right)\\\\\Rightarrow \theta=36.86^{\circ}$

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WHat are 3 possible solutions for this inequality 2/3(6x-3)>6

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

2/3(6x-3)>6

4x-2>6

4x>8

x>2

Anything more than 2, so 3,4,5, etc

5 0

1 year ago

The scale factor of the dimensions of two similar wood floors is 5 : 3. It costs $144 to refinish the smaller wood floor. At t

Eva8 [605]

Answer: 240

Step-by-step explanation:

144/3 = 48

5x48= 240

6 0

2 years ago

Find the radius of a circle in which the central angle of (pie /4 ) radian determines a sector with an area of 86m^2

LenKa [72]

Area of sector = 1/2 * r^2 * x where r = radius and x = angle in radians

86 = 1/2 * r^2 * pi/4

r^2 = 2 * 86 * 4 / pi = 219

r = sqrt 219

= 14.80

6 0

3 years ago

Two numbers that differ by 46

Reil [10]

the complete question is

Find two numbers whose difference is 46 and whose product is a minimum

Let

x------->larger number

y-------> smaller number

P-------> product of the two numbers

we know that

$x-y=46\\ y=x-46$ -----> equation 1

$P=x*y$ -----> equation 2

substitute equation 1 in equation 2

$P=x*[x-46]\\ P=x^{2} -46x$

using a graph tool

see the attached figure

Find the value of x for that the product P is a minimum

the vertex is the point $(23,-529)$

that means, for $x=23$

the product is a minimum $P=-529$

find the value of y

$y=x-46\\ y=23-46\\ y=-23$

therefore

the answer is

the numbers are $23$ and $-23$

7 0

2 years ago

Read 2 more answers

At a farmers market you buy 4 pounds of toamtoes(3$ each) and 2 pounds of sweet potatoes (2$ each). You spend 80% of he money in

Artyom0805 [142]

4*3=12
2*2=4
12+4=16
16/4=4
4*5=20
Therefore, $20 was the original amount of money in your wallet.

7 0

2 years ago