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Komok [63]
3 years ago
5

Find the quotient of –30 and –15.

Mathematics
1 answer:
horsena [70]3 years ago
3 0
-30+-15
=-45
hope that helps
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Can you help please ASAP
V125BC [204]

Answer:

Step-by-step explanation:

External angle equals to the sum of opposite internal angles

z - 41° + z - 20° = z + 40°

2z - 61° = z + 40°

2z - z - 61° = 40°

z - 61° = 40

z = 40° + 61°

z = 101°

5 0
3 years ago
How do I do question 9 & 11? Please help thank you!
Novay_Z [31]
<h2>9.</h2><h3>Given</h3>
  • sphere with radius 15 cm
<h3>Find</h3>
  • linear approximation to the volume when the radius increases 0.4 cm
<h3>Solution</h3>

The equation for volume of a sphere is

... V = (4/3)π·r³

Differentiating gives

... dV = 4π·r²·dr

Filling in the given numbers gives

... change in volume ≈ 4π·(15 cm)²·(0.4 cm)

... = 360π cm³ ≈ 1130.97 cm³ . . . . . . volume of layer 4mm thick

<h2>11.</h2><h3>Given</h3>
  • an x by x by 2x cuboid with surface area 129.6 cm²
  • rate of change of x is 0.01 cm/s
<h3>Find</h3>
  • rate of change of volume
<h3>Solution</h3>

The area is that of two cubes of dimension x joined together. The area of each such cube is 6x², but the two joined faces don't count in the external surface area. Thus the area of the cuboid is 10x².

The volume of the cuboid is that of two cubes joined, so is 2x³. Then the rate of change of volume is

... dV/dt = (d/dt)(2x³) = 6x²·dx/dt

We know x² = A/10, where A is the area of the cuboid, so the rate of change of volume is ...

... dV/dt = (6/10)A·dx/dt = 0.6·(129.6 cm²)(0.01 cm/s)

... dV/dt = 0.7776 cm³/s

5 0
3 years ago
G(x) = -0.5x^2 + 4x – 2
-BARSIC- [3]

Answer:

Step-by-step explanation:

What is the question?

g(x) = -0.5x² + 4x - 2 is a down-opening parabola. Do you need to know how to put it in vertex form?

vertex (4,6)

focus (4,5.5)

5 0
2 years ago
Which angles are corresponding angles?
konstantin123 [22]

Answer:

A. 7 and 3

&

B. 1 and 5

Step-by-step explanation:

Corresponding angles are a pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

The answers are:

•8 and 4

•5 and 1

•7 and 3

•6 and 2

I hope this helps! I'm sorry if it's wrong.

3 0
3 years ago
X-y=2<br>x² -7y² = 2<br>decide the system​
olya-2409 [2.1K]
Wish I can help my g
7 0
2 years ago
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