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sesenic [268]
3 years ago
8

Simplify the expression: 1/1+cot^2x

Mathematics
1 answer:
Art [367]3 years ago
8 0

When you simplify the expression 1/1+cot^2x the final product is C. sin^2 (x).

Hope this helps!

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Find the volume of a right circular cone that has a height of 12 m and a base with a diameter of 8.9 m. Round your answer to the
steposvetlana [31]

Volume of Cone

Volume of the right circular cone is  248.7 m³

Step-by-step explanation:

A right circular cone is a three dimensional geometrical object. Right circular cone is a circular cone whose axis is perpendicular to its base. The slant height is the length of an element. All elements of a right circular cone  are all equal.

The volume of the right circular cone is defined as  1/3 \pi r^{2}h

where r is radius of the cone and h is the height of the cone

V =  1/3 \pi r^{2}h

Given diameter d  = 8.9 m

So the radius r = 8.9 ÷ 2 = 4.45 m

V = (1/3) × 3.14 × (4.45)²  × 12

= (1/3) × 3.14 × 19.80 × 12

= 248.69 m³

Hence the Volume of the right circular cone is  248.7 m³

4 0
3 years ago
Read 2 more answers
find 65÷4.write your answer using a remainder ,a fraction and a decimal. then tell which form of the answer you prefer .explain
antiseptic1488 [7]
65/4 = (Decimal) 16.25 (Fraction) 16 1/4
The choice I prefer to use is fraction. It is easier to work with, in my opinion, when it comes to multiplying or dividing with other numbers/fractions.

5 0
3 years ago
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Nancy has to find the coordinates of the reflection of the point across the y-axis. How can she find the coordinates of the new
oksian1 [2.3K]

Answer: (x, y) transforms into (-x, y)

Step-by-step explanation:

When we do a reflection over a given axis, the distance between the initial point to the axis must be the same as the distance of the reflected point to the axis.

So if we do a reflection over the y-axis, then the value of y must be fixed.

So if we start with the point (x, y), the only other point that is at the same distance from the y-axis is the point (-x, y)

So the rule is, the y value remains equal and the x changes of sign.

4 0
4 years ago
Read 2 more answers
Hzjwnsjwnziqnnsjansnsjans
natima [27]

Answer:

Step-by-step explanation:

Slope of line passing through (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{y_2-y_1}{x_2-x_1}

From the graph attached,

Slope of the line passing through (-3, 0) and (0, 5) = \frac{5-0}{-3-0}

                                                                                    = -\frac{5}{3}

Line passing through a point (h, k) and slope 'm' will be,

y - h = m(x - k)

Since, line passing through (11, 0) is parallel to the line given in the graph,

Slope of the parallel line will be same as -\frac{5}{3}

Equation of a line passing through (11, 0) and slope = -\frac{5}{3}

y - 0 = -\frac{5}{3}(x-11)

y = -\frac{5}{3}(x-11)

Now satisfy this equation with the points given in the options,

Option (1)

For (1.67, -15.59),

-15.59 = -\frac{5}{3}(1.67-11)

-15.59 = -15.55

False.

Therefore, given point doesn't lie on the line.

Option (2)

For (-0.33, -13.59)

-13.59 = -\frac{5}{3}(-0.33-11)

-13.59 = -18.88

False

Option (3)

For (0.67, -18.59),

-18.59 = -\frac{5}{3}(0.67-11)

-18.59 = 17.22

False

Option (4)

For (1.67, -15.59)

-15.59 = -\frac{5}{3}(1.67-11)

-15.59 = -15.55

False.

Therefore, none of the points given in the options are lying on the line.

7 0
3 years ago
Solve the equation:<br>x-7=18
anzhelika [568]
X=25 so the answer is C
6 0
3 years ago
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