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AlladinOne [14]
4 years ago
5

State whether the lines are parallel, perpendicular or neither. y = x+1 y = -x-2 (5 points) A. Parallel B. Perpendicular C. Neit

her
Mathematics
1 answer:
Anuta_ua [19.1K]4 years ago
6 0
B. perpendicular is correct
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A textbook store sold a combined total of 478 biology and history textbooks in a week. The number of biology textbooks sold was
skelet666 [1.2K]

Answer:

215 history and 263 biology

Step-by-step explanation:

478 - 48 = 430. 430/2 = 215. 215 history textbooks. 215 + 48 = 263 biology textbooks

6 0
3 years ago
A conical cup is made from a circular piece of paper with radius 4 cm by cutting out a sector and joining the edges as shown bel
a_sh-v [17]

Answer:

  V = 3π√7 cm³ ≈ 24.94 cm³

Step-by-step explanation:

The radius of the finished cone can be found from the circumference of the finished cone, which is 3/4 of the circumference of the original paper circle.

  Ccone = (3/4)Ccircle = (3/4)(2π(4 cm)) = 6π cm

This is related to the cone radius (x) by ...

  Ccone = 2πx = 6π cm

  x = 3 cm . . . . . . . . . 3/4 of the circle's radius

The height of the cone is given by the Pythagorean theorem:

  (4 cm)² = h² + x²

  h² = (4 cm)² -(3 cm)² = (16 -9) cm²

  h = √7 cm

Now, we can use the formula for the volume of a cone:

  V = (1/3)πr²h

  = (1/3)π(3 cm)²(√7 cm)

  V = 3π√7 cm³ ≈ 24.94 cm³

4 0
3 years ago
A line passes through the point (-5, -3) and had a slope of 4
zmey [24]

the answer would be y=4x+17

7 0
3 years ago
2783 and 7283. The value of 2 in ____ is ____times the value of 2 in_____.
Orlov [11]
The value of 2 in <em>2783</em> is <em>10</em> time the value of 2 in <em>7283</em>.
6 0
3 years ago
Consider a civilization broadcasting a signal with a power of 2.0×104 watts. The Arecibo radio telescope, which is about 300 met
Vitek1552 [10]

For light: Inverse Square Law 

<span>
The signal is weaken by the inverse square of the difference of distances this means that one over the square of the difference. </span>

<span>
</span>

Therefore, 70000LY / 141 LY =496.45 and that squared =246462.602 times less signal, or 1/246462.602.


 2 For a circular telescope like the Arecibo radio telescope that equals Pi times the radius squared. Sensitivity of the telescope depends on its area.<span>
The new telescope needs 246462.60 times that area to have enough sensitivity </span>

<span>
<span>(150 x 150 x Pi) = 70 685 sq m area for the Arecibo telescope and that times 246462.60
= 1.74212 x 10^10</span></span>

<span><span>
</span></span>

What is the diameter of a circle with that area?

 <span>
<span>1. Divide the area by Pi = 5.548156 x 10^9
2. Take the square root of the result to find the radius = 74485.94293</span></span>

3. Multiply by 2 to find the diameter = <span>148971.886</span>

7 0
3 years ago
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