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3 years ago

Find the distance between the pair points (-2, -3) and (-12,-19)

1 answer:

7 0

D = √(y2-y1)² + (x2-x1)²

d = √(-3+19)² + (-2+12)²

d = √16² + 10²

d = √256 + 100
d = √356
d = 18.87 units

In short, Your Answer would be: 18.87 units

Hope this helps!

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What is the value of x? inscribed angles

Flura [38]

The value of x is 84°.

Solution:

Measure of intercepted arc = 168°

Measure of angle x = ?

Tangent-chord relationship:

If a tangent and a chord intersect at a point, then the measure of each angle formed is half of the measure of its intercepted arc.

$$\Rightarrow \angle x = \frac{1}{2}\times 168^\circ$

$$\Rightarrow \angle x = 84^\circ$

The value of x is 84°.

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3 years ago

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3 years ago

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Find the volume of a right circular cone that has a height of 17.1 in and a base with a

padilas [110]

Answer:

Volume of the right circular cone = 1188.79 cubic inches

Step-by-step explanation:

Height of the cone = 17.1 inch

Circumference of the cone= 16.3 inches

Radius = 16.3/2

= 8.15 inch

Volume of the cone is:

$=\pi *r^2*\frac{h}{3}$

As, $\pi =\frac{22}{7}=3.14$

Volume of the cone

$=3.14*(8.15*8.15)*\frac{17.1}{3} \\\\=3.14*(8.15*8.15)*5.7\\\\=3.14*66.42*5.7\\\\=3.14*378.59\\\\=1188.79inch^3$

Volume of the right circular cone is 1188.79 cubic inches

4 0

3 years ago

Solve the equation by factoring.

Delicious77 [7]

Factorizing an expression involves writing the expression in simpler forms

The values of z are $z = \frac 15$ or $z=4$

The equation is given as:

$5z^2 - 21z + 4 = 0$

Expand the equation

$5z^2 - 20z -z + 4 = 0$

Factorize the expression:

$5z(z - 4) -1(z - 4) = 0$

Factor out z - 4

$(5z - 1)(z - 4) = 0$

Split

$5z -1 = 0$ or $z - 4 = 0$

Solve for z

$z = \frac 15$ or $z=4$

Hence, the values of z are $z = \frac 15$ or $z=4$