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jenyasd209 [6]
3 years ago
8

What is the angle between the given vector and the positive direction of the x-axis 8i 6j?

Mathematics
1 answer:
Nastasia [14]3 years ago
7 0
The given vector is
8i + 6j
The angle can be calculated using
θ = tan⁻¹ (b/a)
where b and a are determined from
ai + bj
θ = tan⁻¹ (6/8) = 36.9 degrees
The angle between the vector and the positive x-direction is 36.9 degrees.
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Janice makes a box in the shape of the rectangular prism. Show your work and explain how you solved using first, next & last
Rama09 [41]

Answer:

The surface area is 376in^2

Step-by-step explanation:

The surface area of a rectangular prism is calculated using the formula;

S.A=2[lw+lh+wh]

The length of the rectangular prism is l=10in

The height is h=6in

The width is w=8in

The surface area

S.A=2[10(8)+10(6)+8(6)]

S.A=2[80+60+48]

S.A=2(188)

S.A=376in^2

5 0
3 years ago
What is the length of side A, in centimeters, on the enlarged trapezoid?<br> 4<br> 6<br> 12<br> 20
Kazeer [188]

Answer:

C

Step-by-step explanation:

given the fact that the other side measures all multiply by 4 when they are enlarged in the second shape, we know that the scale factor is 4. 3 enlarged by a scale factor of 4 = 12

4 0
3 years ago
Read 2 more answers
. Choose the correct answer to 992 = 16. 62 R1 61 R16 62 63 please help me ​
Svet_ta [14]

Answer:

The answer is 62

Step-by-step explanation:

You just need to simply divide. 992÷16 is equivalent to 62 with no remainder.

8 0
2 years ago
Add an intersection the red light times normally distributed by the mean of three minutes and a standard deviation of .25 minute
Soloha48 [4]

95% of red lights last between 2.5 and 3.5 minutes.

<u>Step-by-step explanation:</u>

In this case,

  • The mean M is 3 and
  • The standard deviation SD is given as 0.25

Assume the bell shaped graph of normal distribution,

The center of the graph is mean which is 3 minutes.

We move one space to the right side of mean ⇒ M + SD

⇒ 3+0.25 = 3.25 minutes.

Again we move one more space to the right of mean ⇒ M + 2SD

⇒ 3 + (0.25×2) = 3.5 minutes.

Similarly,

Move one space to the left side of mean ⇒ M - SD

⇒ 3-0.25 = 2.75 minutes.

Again we move one more space to the left of mean ⇒ M - 2SD

⇒ 3 - (0.25×2) =2.5 minutes.

The questions asks to approximately what percent of red lights last between 2.5 and 3.5 minutes.

Notice 2.5 and 3.5 fall within 2 standard deviations, and that 95% of the data is within 2 standard deviations. (Refer to bell-shaped graph)

Therefore, the percent of  red lights that last between 2.5 and 3.5 minutes is 95%

8 0
3 years ago
Someone please help me on this!
Alexxx [7]

Answer & Step-by-step explanation:

This can be proven with the SAS theorem (side-angle-side)

With a perpendicular bisector, the line it bisects is cut directly in half. This creates two equal sides:

GJ=IJ

and it creates two 90° angles:

∠GJH=∠IJH

And because of the reflexive property of congruence:

JH=JH

Side-Angle-Side.

:Done

6 0
3 years ago
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