Ben graphed a system of equations and stated that the solution is (4, 4). Check his solution algebraically.

Find the direction angle of 3i+1j. Please help me. Thank you

Alekssandra [29.7K]

Answer:

Correct answer: ∝ = 18.43°

Step-by-step explanation:

Given coordinates represent one vector in x-y plane, let be v.

v = 3i +1j = xi + yj => x = 3 and y = 1

The angle that this vector builds with the positive direction to the x axis will be found using the tangent.

∝ = tan⁻¹ y/x = tan⁻¹ 1/3 = tan⁻¹ 0.333 = 18.43°

∝ = 18.43°

God is with you!!!

4 0

3 years ago

A sphere has a diameter of 12.5 inches. What is the surface area of the sphere? 50π in² 156.25π in² 625π in² 2604.17π in²

Advocard [28]

Hello!

To find the surface area of a sphere you use the equation

$A = 4 \pi r^{2}$

A is surface area
r is radius which is half the diameter

Put in the values you know

$A = 4 \pi 6.25^{2}$

Square the number

$A = 4 \pi 39.0625$

Multiply the 4 and the 39.0625

$A = 156.25 \pi$

The answer is $B) 156.25 \pi in^{2}$

Hope this helps!

3 0

3 years ago

All the cubes below have a different image on each side.

-BARSIC- [3]

Answer:

Figure G

Explanation:

The figure labeled A cannot be because the cross and the line are not oriented in the same relative position as in X.

The figure labeled B cannot be because the line and the the image with the three lines are not oriented in the same relative position as in X.

You cannot tell about the figures labeled C because you do not see the images of the cross and the line.

The figure labeled E cannot be because the image with the three lines is not oriented in the same relative positiion with respect to the other two as in X.

You cannot tell about the figure labeled F because the image of the cross and with the three lines are not shown.

The figure labeled G is correct: you can just rotate the cube labeled X 90 degrees counterclockwise about a vertical axis that passes through the center of the cube and get the cube labeled G.

3 0

3 years ago

If your family drank 8 pints of apple juice, how many cups would that be? 1

sertanlavr [38]

Answer:

4 cups I believe

Step-by-step explanation:

8 0

3 years ago

Find the diameter of the circular garden whose circumference is 124.03 cm

leonid [27]

Answer:

$\color{magenta} \huge{ \boxed{answer}}$

<h3>Solve for diameter</h3>

hopefully help:)

Step-by-step explanation:

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<h2>#CarryOnLearning</h2>

6 0

3 years ago