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mestny [16]
2 years ago
9

Please help me with this mathematics worksheet

Mathematics
1 answer:
Tatiana [17]2 years ago
5 0

Answer:

1. 3570

2.-8y+32

3. 8y-(2y^2)(1+y)

4.x-y

5. 4^2−3−^2

Step-by-step explanation:

The distributive property means that you can multiply each number in a set of parentheses by the number outside the parentheses or by the numbers in another set of parentheses instead of doing the multiplication as a whole

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The surface area of a pyramid is 327 square meters. what is the surface area of a similar pyramid that is smaller by a scale fac
N76 [4]

Answer:

\boxed{\text{144.33 m}^{2}}

Step-by-step explanation:

The scale factor (C) is the ratio of corresponding parts of the two pyramids.  

The ratio of the areas is the square of the scale factor.

\dfrac{A_{1}}{ A_{2}} = C^{2}\\\\\dfrac{\text{327 m}^{2}}{A_{2}} = \left (\dfrac{1}{\frac{2}{3}}\right)^{2}\\\\ \dfrac{\text{327 m}^{2}}{A_{2}}= \dfrac{9}{4}\\\\\text{1308 m}^{2}= 9A_{2}\\\\A_{2} = \text{145.33 m}^{2}\\\text{The surface area of the smaller pyramid is \boxed{\text{145.33 m}^{2}}}

4 0
3 years ago
Write the equation of the circle graphed below
Norma-Jean [14]

Answer:

The equation of the circle is

(x + 2)² + (y + 2)² = 9

Centered at (-2, -2), with radius of 3 units.

Step-by-step explanation:

The general equation of a circle is given as

(x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle, and r is the radius.

Looking at the graph, the center is the red dot. It corresponds to -2 on the y-axis, and -2 on the x-axis. So, the center (h, k) is (-2, -2).

The radius is the distance from the center of the circle to the edge of the circle. The red dot is the edge of the circle, there are 3 lines that represent 3 units, so we have a radius of 3 units.

Using these in the general equation, we have

[x - (-2)]² + [y - (-2)]² = 3²

(x + 2)² + (y + 2)² = 9

And this is the equation.

6 0
3 years ago
Tables originally priced at $70 are now on sale for $42.What is the discount, as a percentage?​
d1i1m1o1n [39]

Answer:

40%

Step-by-step explanation:

you saved $28.00

5 0
3 years ago
-2/3a+5/6a-1/6 simplify
ratelena [41]

Answer:

\frac{1}{6} a-\frac{1}{6}

Step-by-step explanation:

-\frac{2}{3} a+\frac{5}{6}a-\frac{1}{6}

=-\frac{4}{6} a+\frac{5}{6}a -\frac{1}{6}

= \frac{1}{6} a-\frac{1}{6}

8 0
3 years ago
Read 2 more answers
What is the volume of a cube that has a diagonal of 12.8 inches? (round to nearest tenth)
podryga [215]
A cube has all the sides equal.

A diagonal then acts as the hypotenuse of a face such that,

Sin 45° = Side/hypotenuse = Side/12.8 => Side = Hypotenuse * Sin 45 = 9.05 in

Volume = base*width*height = sides^3 (since all sides are equal) = 9.05^3 =741.22 in^3
To nearest tenth,
Volume = 741.2 in^3 {and correct answer is A)}
3 0
3 years ago
Read 2 more answers
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