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3 years ago

Urgent math trig. question. plz help. number 6

Mathematics

1 answer:

Rom4ik [11]3 years ago

7 0

4x/√16 - X²

as a² - b² = (a+b)(a-b)

√(4-×)(4+×)

as x =

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Find the area of the blue sector(s). The diameter is 14.

pav-90 [236]

The area of the entire circle is pi*(7)^2, or 49pi.

Due to the 90 degree angle, the area of the larger blue sector is

------- * 49 pi = 49/4 units^2

360

The area of the smaller blue sector is

------- 49 pi = (2/15)(49 pi) = 98 pi/15 units^2

360

The total area of the blue sectors is the sum of 98 pi/15 and 49 pi/4 (units^2):

59 units^2

5 0

2 years ago

Find the perimeter of the triangle with vertices A(negative 2,2,3), B(4,negative 4,3), and C(7,6,4).

gayaneshka [121]

Answer:

$P\approx 28.872\,\text{units}$

Step-by-step explanation:

We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.

the distance formula is generally written as:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

for the side AB: A(-2,2,3) and B(4,-4,3)

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

$AB = \sqrt{(-6)^2+(6)^2+(3-3)^2}$

$AB = \sqrt{72}$

for the side BC: B(4,-4,3) and C(7,6,4)

$BC = \sqrt{(4-7)^2+((-4)-6)^2+(3-4)^2}$

$BC = \sqrt{110}$

for the side CA: C(7,6,4) and A(-2,2,3)

$CA = \sqrt{(7-(-2))^2+(6-2)^2+(4-3)^2}$

$CA = \sqrt{98}$

Now we all the sidelengths:

to find the perimeter we need to just sum the three side lengths:

$P = AB + BC + CA$

$P = \sqrt{72} + \sqrt{110} + \sqrt{98}$

$P\approx 28.872\,\text{units}$

this is the perimeter of triangle ABC

6 0

3 years ago

What does the line of -4 x + 3y = 6 look like

Llana [10]

Answer:

The line slopes upwards from left to right wit a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2

Step-by-step explanation:

We first rearrange the equation to the order y=mx+c where m is the gradient and c the y intercept.

3y=4x+6

y=(4/3)x+2

The gradient is therefore 4/3 and the y intercept is 2.

At the c intercept, y=0

0=(4/3)x +2

(4/3)x=-2

x=-2×3/4

=3/2

The line slopes upwards from left to right with a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2

8 0

2 years ago

Read 2 more answers

Which expression is equivalent to 3/2*3/2*3/2*3/2

lesantik [10]

Answer:

hello :

(3/2)×(3/2)×(3/2)×(3/2) = (3/2)^4

8 0

3 years ago

In a game, four cards are labeled N, S, E, and W. Two tiles are numbered 1 and 2. Two

nikitadnepr [17]

Answer:1/16

Step-by-step explanation:

1/4x1/2x1/2

8 0

3 years ago

Read 2 more answers

Urgent math trig. question. plz help. number 6​

Urgent math trig. question. plz help. number 6