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OleMash [197]
3 years ago
10

What percentage of the blocks is shaded in the picture?

Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0
Hello! So the blocks are lined up in rows of 8. When you count the number of rows, there are 10 of them. 3 rows of 8 blocks are shaded out of 10 of them. That's 24 blocks shaded out of 80, because 8 * 10 is 80, and 3 * 8 is 24. Let's divide. 24/80 is 0.3.Let's multiply that by 100 to get it in percent form. 0.3 * 100 is 30. There. 30% of blocks are shaded in the picture.
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On a coordinate plane, point A is at (3, 3) and point B is at (negative 3, 3). Point B is the image of point A when A is rotated
Vladimir [108]

Answer:

Point B must be at the same distance from the the origin as point A.

Step-by-step explanation:

Coordinates of point A = (3, 3)

When point A is rotated 90° counterclockwise around the origin, coordinates of the new point B will be (-3, 3)

Distance from origin to point A = \sqrt{(3)^{2}+(3)^2}=3\sqrt{2}

Similarly, distance of point B from the origin = \sqrt{(3)^{2}+(3)^2}=3\sqrt{2}

Therefore, distances of both the points from the origin are same.

Point B must be at the same distance from the the origin as point A.

7 0
3 years ago
Write the equation of a parabola with focus at (1,-4) and a directrix at X=2
konstantin123 [22]

Answer:

The equation of a parabola is

x =  \frac{1}{4(f - h)} (y - k) ^{2}  + h

Step-by-step explanation:

(h,k) is the vertex and (f,k) is the focus.

Thus, f = 1, k = −4.

The distance from the focus to the vertex is equal to the distance from the vertex to the directrix: f - h = h - 2.

Solving the system, we get h = 3/2, k = -4, f = 1.

The standard form is:

x =  -  \frac{y ^{2} }{2}  - 4y -  \frac{13}{2}

The general form is:

2x +  {y}^{2}  + 8y + 13 = 0

The vertex form is:

x =  -  \frac{(y + 4) ^{2} }{2}  +  \frac{3}{2}

The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = -4.

The focal length is the distance between the focus and the vertex: 1/2.

The focal parameter is the distance between the focus and the directrix: 1.

The latus rectum is parallel to the directrix and passes through the focus: x = 1.

The length of the latus rectum is four times the distance between the vertex and the focus: 2.

The eccentricity of a parabola is always 1.

The x-intercepts can be found by setting y = 0 in the equation and solving for x.

x-intercept:

( -  \frac{13}{2}  \: ,0)

The y-intercepts can be found by setting x = 0 in the equation and solving for y.

y-intercepts:

(0, - 4 -  \sqrt{3)}

(0, - 4 +  \sqrt{3)}

3 0
2 years ago
The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of thr
cluponka [151]

Answer:

The correct answer is:

  • \lambda=0.375 \ jobs \ per \ hour
  • \mu=0.5 \ jobs \ per \ hour

Step-by-step explanation:

The given values are:

Service time varies,

Repair time = 2 hours

Standard deviation = 1.5 hours

Robotics uses per hour cost,

= $35

Company's cost per hour,

= $28

(a)

⇒ Arrival rate = Jobs per hours

then,

                       = \frac{8 \ hours}{3 \ jobs}

                       = 2.666 \ hours \ per \ job

The jobs per hour will be:

⇒  \lambda=\frac{1}{2.666}

       =0.375

(b)

⇒ Service rate = jobs per hour

then,

                      μ = \frac{1 \ repair \ job}{2 \ hours}

                         = 0.5 \ jobs

7 0
3 years ago
Explain how a(b + c) can be rewritten as (b + c)a and as ba + ca.
jenyasd209 [6]

Answer:

#UseDistributiveProperty

Step-by-step explanation:

6 0
3 years ago
I’m so confused so can you help me
Lelu [443]
45²

This says "forty five squared"

Try saying it aloud, it may help to hear it :)

This basically just means to multiply 45 by itself twice.

So, what's 45 times 45? 

Its 2025!

Hope I helped! :)
6 0
3 years ago
Read 2 more answers
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