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cestrela7 [59]
3 years ago
5

Find the area, please help me, having a hard time getting through tonight’s homework. Complex/Compound area. Thanks!

Mathematics
1 answer:
Digiron [165]3 years ago
7 0
Since the bottom shape is a semi-circle, the 3yd is the radius making the triangle's area 7 x 3 / 2 = 10.5

The semi-circle's area is \pi 3^{2} /2 = 14.14

Combined, you get an area of 10.5 + 14.14 = 24.64yd^{2}
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The question is asking me choose all of the numbers that are unit fractions, and here are my options, 14 <16 14 <16 510&lt
____ [38]

Answer:

(d) \frac{4}{8}>\frac{2}{6}

Step-by-step explanation:

Given

\frac{1}{4}

\frac{5}{10}

\frac{1}{2}>\frac{1}{3}

\frac{4}{8}>\frac{2}{6}

\frac{3}{5}>\frac{4}{5}

Required

Select the unit fractions

<em>If we are to go by what a unit fraction means: it means that the numerator of the fraction must be 1 and must be written as a single fraction i.e. </em>\frac{1}{2}<em> and not as an inequality i.e. </em>\frac{3}{5}>\frac{4}{5}<em />

<em>Given the format of the question, what is required of the question is to </em><em>select all correct inequality.</em>

<em></em>

(a) \frac{1}{4}

Convert to decimals

0.25 < 0.167 ---- This is not true because 0.25 > 0.167

(b) \frac{5}{10}

Convert to decimals

0.5 < 0.5 ---- This is not true because 0.5 = 0.5

(c) \frac{1}{2}>\frac{1}{3}

Convert to decimals

0.5 > 0.33 ---- This is true

(d) \frac{4}{8}>\frac{2}{6}

Convert to decimals

0.5 > 0.33 ---- This is true

(e) \frac{3}{5}>\frac{4}{5}

0.6 > 0.8 --- This is not true because 0.6 < 0.8

So: the true inequality is:

(d) \frac{4}{8}>\frac{2}{6}

6 0
3 years ago
Identify the 34th term of the arithmetic sequence 2, 7, 12
torisob [31]
The equation is AN=A1+D(N-1) A1 being the first number (2) D being the difference (in this case 5) and N being the nth term to find (34) so here you have AN=2+5(34-1) then AN=2+5(33). the answer here is 167.
5 0
3 years ago
One thousand dollars is invested in a savings account that pays 9% interest per year. The interest earned after the first year i
Ray Of Light [21]
In order to solve this problem, the first thing we are going to do is find out how much is 9% of 1000, since 9% is the interest per year. So 0.09 x 1000 and that would be 90. And since the interest earned is added to the account, the account will now have a total of $1090 which is now the new principal. Based on this new principal, we need to know the 9% of it again to know how much interest in earned in the following year. So that would be 0.09 x 1090 and the result is $98.10. Hope this answer helps.
4 0
3 years ago
ABC DEF. The area of ABC is given. Find the area of DEF
densk [106]

Answer: B

Step-by-step explanation:

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

  • Scale factor = image/preimage = 48/12 = 4.

So, the ratio of the areas is 16, and thus the area of DEF is (16)(90)=1440

4 0
2 years ago
Which rigid transformation(s) can map TriangleFGH onto TriangleVWX?
ch4aika [34]

Answer:

Rotation then translation

Step-by-step explanation:

First a rotation anticlockwise about G. then a translation to the right.

8 0
3 years ago
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