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3 years ago

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Mathematics

1 answer:

Zigmanuir [339]3 years ago

8 0

Answer: A.) $4 per shirt

Step-by-step explanation:

Slope of the graph is calculated as the ratio or proportion of chasing ein the y and x axis of a graph.

Slope(m) = [change in y / change in x]

One can draw a right angle triangle to meet the line of best fit provided in the graph to obtain the values for both the y and x axis.

HERE,

y2 = 120, y1 = 40 and x2 = 50, x1 = 30

Slope = (y2 - y1) / (x2 - x1)

Slope = (120 - 40) / (50 - 30)

= 80/20

Slope = 4

$4 per shirt

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While visiting Wallawulla State Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa

katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135 - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0

3 years ago

Please heeeeeeeeelp! Ill give brainliest!

Alinara [238K]

Step-by-step explanation:

ok so as u know the angles of a triangle add up to 180.

So we will be using that for help.

S+R+T=180

12x+13x+12x-4+2-3=180

37x-5=180

37x=185

x=5

Now we will plug in the value for x to find each angle

S= 13(5)-4

=61

T=12(5)-3

=57

R=12(5)+2

=62

Hope this helped:)

8 0

3 years ago

Read 2 more answers

Nick gets out of school at 2:25 pm he has a 15min ride home on the bus then goes on a 30 min bike ride then spends 55 min doing

klasskru [66]

Your answer to the question would be 4:05.

6 0

3 years ago

Read the word problem. Hershel buys 5 bags of cookies, 3 bags of granola, and several bags of fruit snacks from a bake sale. In

agasfer [191]

Answer : Hershel buys 2 bags of fruit snacks.

Explanation :

Since we have given that

Number of bags of granola =3

Number of bags of cookies = 5

Total number of bags he buys from the bake sale =10

$\text{Remaining bags are of fruit snacks} =10-(5+3)=10-8=2$

So, number of bags of fruit snacks = 2

Hence, Hershel buys 2 bags of fruit snacks .

It is a comparison type of word problem.

As we just compare the items with the total items to get the remaining items.

5 0

3 years ago

Determine the equation of the circle graphed below. ( please help me )

Brums [2.3K]

Answer:

$Equation : \\(x+3)^2 + ( y -2)^2 = 36$

Step-by-step explanation:

For standard form the circle's equation we need the centre of the circle and the radius.

Step 1: Find the centre

If the centre is not given find the end points of the diameter

and then find the mid point.

Let the end points of the diameter be : ( - 3 , 8 ) and ( -3 , -4 )

The mid-point of the diameter is :

$Mid-point = (\frac{-3 + - 3}{2}, \frac{-4+8}{2}) = (-3, 2)$

Therefore, centre of the circle = ( -3 , 2 )

Step 2 : Find radius

$Radius = \frac{Diameter }{2}$

Diameter is the distance between the end points ( -3 , 8) and ( -3 , -4 )

That is ,

$Diameter = \sqrt{(-3-(-3))^2 + ( -4 -8)^2}\\$

$= \sqrt{(-3 + 3)^2 + (-12)^2}\\\\=\sqrt{0 + 144}\\\\=12$

Therefore ,

$Radius = \frac{12}{2} = 6$

Step 3 : Equation of the circle

Standard equation of the circle with centre ( h ,k )

and radius ,r is :

$(x - h)^2+(y -k)^2 = r^2$

Therefore, the equation of the circle with centre ( -3, 2)

and radius = 6 is :

$(x - (-3))^2 + (y - 2)^2 = 6^2\\\\(x + 3)^2 + (y - 2)^2 = 36$

5 0

2 years ago