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Karolina [17]
4 years ago
5

Help with math homework

Mathematics
1 answer:
Anestetic [448]4 years ago
8 0
1) 65+57= 122
180-122= 58

2) 40+90=130
180-130=50

3) 130+20=150
180-150=30

4) 85+50= 135
180-135=45

Sorry, IDK the rest. So so sorry.
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The equation of the quadratic function represented by the graph is y=a(x-3)^2-1. What is the value of a?
Y_Kistochka [10]

Answer:

Value of a is 2      

Step-by-step explanation:

Given the equation of the quadratic function represented by the graph is y=a(x-3)^2-1. we have to find the value of a.

As seen in the figure, parabola cuts the graph at point (2,1) implies point (2,1) is one of the solution of the given quadratic equation i.e of given parabola.

∴  Point (2,1) satisfies the given equation.

Hence, we can find the value of a by putting the value of x and y, we get

1=a(2-3)^2-1

⇒ 2=a

Hence, the value of a is 2

5 0
3 years ago
The mass of the sun is 2.13525×10^30 kilograms. The mass of Mercury is 3.285×10^23 kilograms.
Rama09 [41]

Answer:

The mass of Sun is 65\times 10^5 times greater than mass of Mercury.

Step-by-step explanation:

We are given that

Mass of the sun=M=2.13525\times 10^{30} kg

Mass of Mercury, m=3.285\times 10^{23}kg

We have to find how many times greater is the mass of the sun than the mass of Mercury.

Mass of sun/Mass of mercury=\frac{2.13525\times 10^{30}}{3.285\times 10^{23}}

Mass of sun/Mass of mercury=0.65\times 10^{30-23}

Using the property

a^x/a^y=a^{x-y}

Mass of sun/Mass of mercury=0.65\times 10^{7}

Mass of sun/Mass of mercury=65\times 10^5

Mass of Sun=65\times 10^5 times Mass of Mercury

Hence, the mass of Sun is 65\times 10^5 times greater than mass of Mercury.

8 0
3 years ago
A room has 9 tables with 6 chairs each and 7 tables
Scilla [17]

Answer:

110 chairs.

Step-by-step explanation:

(9x6) +  (8x7)    First multiply 9x6 and 8x7.

(54) + (56)    In the first parenthesis, we have 9 tables with 6 chairs each. We are going to add that to the second parenthesis with 7 tables and 8 chairs each.

= 110    There are 110 chairs.

7 0
3 years ago
If the two solids have the same volume and height, find the area of one of the cross sections
Burka [1]

Answer:

18

Step-by-step explanation:

wdwewrf

hergg

ttfty

5 0
4 years ago
Determine, to one decimal place, the length, width & height of the rectangular prism that would have the greatest volume, wi
Leya [2.2K]

Answer:

The length = The width = The height  ≈ 5.8 cm

Step-by-step explanation:

The volume of a rectangular pyramid, V = l × w × h

The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200

∴  l × h + w × h + l × w = 200/2 = 100

We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;

At maximum volume, l = w = h

∴ l × h + w × h + l × w = 3·l² = 100

l² = 100/3

l = 10/√3

Therefore, the volume, v = l³ = (10/√3)³

The length = The width = The height = 10/√3 cm ≈ 5.8 cm

7 0
3 years ago
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