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3 years ago

20 pts to whoever helps!!

Mathematics

1 answer:

Goshia [24]3 years ago

6 0

Answer:

Step-by-step explanation:

Becaus it is

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Apply the formula of each shape to determine the

larisa86 [58]

V (cone) = (1÷3) × (r×r×h) л cm3

3 cone = 1 cylinder (if "h" and "r" is same)

There is two cone...

1st one: (1÷3) × 3×3×5 л cm3 = 15л cm3

2nd one: (1÷3) × 3×3×8 л cm3 = 24л cm3

15 + 24 = 39л cm3

8 0

3 years ago

a. Find symmetric equations for the line that passes through the point (4, −4, 8) and is parallel to the vector −1, 4, −3b. Find

daser333 [38]

The line has equation

$\vec r(t)=(4,-4,8)+(-1,4,-3)t$

where $t$ is any real number. $(-1,4,-3)t$ is the line containing all scalar multiples of the vector (-1, 4, -3); we add (4, -4, 8) to shift the line so that it passes through this point while remaining parallel to the the line.

To get the symmetric form, we have

$\begin{cases}x(t)=4-t\\y(t)=-4+4t\\z(t)=8-3t\end{cases}$

Solving for $t$ in each equation gives the symmetric form,

$t=\boxed{4-x=\dfrac{y+4}4=\dfrac{8-z}3}$

The line has intercepts in the coordinate planes wherever either the $x$ , $y$ , or $z$ coordinate is 0.

$xy$ -plane:

$z=0\implies\begin{cases}4-x=\frac83\\\frac{y+4}4=\frac83\end{cases}\implies\left(\dfrac43,\dfrac{20}3,0\right)$

$yz$ -plane:

$x=0\implies\begin{cases}\frac{y+4}4=4\\\frac{8-z}3=4\end{cases}\implies\left(0,12,-4\right)$

$xz$ -plane:

$y=0\implies\begin{cases}4-x=1\\\frac{8-z}3=1\end{cases}\implies\left(3,0,5\right)$

7 0

3 years ago

Find the measure of each angle.

Galina-37 [17]

Given:

Given that the isosceles trapezoid JKLM.

The measure of ∠K is 118°

We need to determine the measure of each angle.

Measure of ∠L:

By the property of isosceles trapezoid, we have;

$\angle K+\angle L=180^{\circ}$

$118^{\circ}+\angle L=180^{\circ}$

$\angle L=62^{\circ}$

Thus, the measure of ∠L is 62°

Measure of ∠M:

By the property of isosceles trapezoid, we have;

$\angle L \cong \angle M$

Substituting the value, we get;

$62^{\circ}=\angle M$

Thus, the measure of ∠M is 62°

Measure of ∠J:

By the property of isosceles trapezoid, we have;

$\angle J \cong \angle K$

Substituting the value, we get;

$\angle J =118^{\circ}$

Thus, the measure of ∠J is 118°

Hence, the measures of each angles of the isosceles trapezoid are ∠K = 118°, ∠L = 62°, ∠M = 62° and ∠J = 118°

4 0

3 years ago

If the pond has a radius of 6.5 ft how much fencing will he need

andre [41]

6.5 times 2 then that time pi or 3.14

5 0

3 years ago

What is d + 6 / -2 = 5 the slash is a fraction

Charra [1.4K]

Answer:

d=8

Step-by-step explanation:

5 0

2 years ago