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Arisa [49]
3 years ago
8

What is the area in square units?

Mathematics
1 answer:
podryga [215]3 years ago
3 0
For the rectangle you add 12 plus 9 to get 21 then multiply by 24 to get 288. then. you multiply 15 times 9 to get 135 then divide by 2 to get 67.5 for the top triangle. you then add 12 and 9 together to get 21 and multiply that by 15 to find the middle rectangle then you get 315. you then add all of the final values together to get 670.5 square units
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1. Simplify. 5–1(3–2)
konstantin123 [22]

Answer with explanation:

Using following law of indices

1.x^a \times x^b=x^{a+b}\\\\2. (x^m)^n=x^{mn}\\\\ 3. x^{-n}=\frac{1}{x^n}\\\\4. \frac{x^m}{x^n}=x^{m-n}

1.5^{-1}\times 3^{-2}=\frac{1}{5}\times\frac{1}{3^2}\\\\=\frac{1}{5\times9}\\\\=\frac{1}{45}\\\\2. \frac{mn^{-4}}{p^0*q^{-2}}=\frac{mq^2}{n^4}\\\\ 3.0.0042=4.2\times 10^3\\\\4.6.12 \times 10^3=6.12 \times 1000=6120\\\\ 5.0.5 \times(8\times10^5})=\frac{1}{2}\times8 \times 10^5=4\times 10^5\\\\6. (9 \times 10^3)^2=9^2 \times (10^3)^2=81 \times 10^6\\\\7.( \frac{1}{2}a^{-4}\times b^2 )_{a=-2,b=4}{\text{or}}( \frac{1}{2}a^{4}\times b^{-2} )_{a=-2,b=4}=\frac{1}{2}\times (-2)^{-4}\times(4)^2{\text{or}}=\frac{1}{2}\times (-2)^{4}\times(4)^{-2}=\frac{16}{2\times16}=\frac{1}{2}

9. (4\times x\times y^2)^3\times (xy)^5=4^3\times x^3\times (y^2)^3\times x^5 \times y^5\\\\=64\times x^{3+5}\times y^{5+6}\\\\=64x^8y^{11}\\\\10.(2\times t^3)^3(0.4\times r)^2=2^3 \times (t^3)^3\times (0.4)^2 \times r^2=8\times t^9 \times 0.16 \times r^2=1.28r^2t^9

8. A number raised to a negative exponent is negative.

Explaining with the help of few examples

 1.2^{-3}=\frac{1}{2^3}=\frac{1}{8}\\\\ 2.(-3)^{-3}=\frac{1}{(-3)^{3}}=\frac{-1}{27}

Option C: Sometimes

1.Option B

2.Option A

3.Option C

4.Option A

5.Option D

6.  81 \times 10^6

7.Option B

8.Option C

9.Option A

10.Option  1.28 r^2 \times t^9

4 0
3 years ago
Read 2 more answers
Sydney read
Naily [24]

Answer:

1.25 pages per minute

Step-by-step explanation:

If Sydney read 50 pages at a constant rate in 40 minutes, then to get pages per minute just divide total pages by minutes

5 0
3 years ago
Read 2 more answers
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $65. A season pass costs $400. The skier
Vlad [161]
Let x be the number of days.

Daily pass:
65x + 30x
95x

Season pass:
400 + 30x

95x > 400 + 30x
65x > 400
x > 6.15

The number of days can't be 6.15, so you must round. You can't go down because then the price will be more expensive, so you have to round up.

It would take 7 days until the season pass is less expensive than the daily pass.
----------------------
You can check this by plugging in the x.

95x > 400 + 30x
95(7) > 400 + 30(7)
665 > 400 + 210
665 > 600
The daily pass is more expensive than the season pass.
3 0
3 years ago
I am stuck with this question can anyone help please 2(3x-5)+3(2x+3)
Licemer1 [7]

Answer:

-1

Step-by-step explanation:

here is the answer

mark me the brainliest

7 0
3 years ago
Please help
ehidna [41]

Answer:

The length between the two points is RT = 1.3 units

Step-by-step explanation:

The coordinates of the point R and T are R(2,1.2) and T(2,2.5).

Now, by DISTANCE FORMULA:

The distance between two coordinates  P and Q with coordinate P(a,b)  and Q(c,d) is given as:

PQ  = \sqrt{(a-c)^2   + (b-d)^2}

So, here the distance RT = \sqrt{(2-2)^2  + (2.5 - 1.2)^2}   = \sqrt{0^2  + (1.3)^2}   = 1.3

or, RT = 1.3 units

Hence, the length between the two points is RT = 1.3 units

6 0
2 years ago
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