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Romashka-Z-Leto [24]
3 years ago
8

What is the area of this composite figure?A. 135 cm2B. 207 cm2C. 249 cm2D. 279 cm2

Mathematics
1 answer:
mariarad [96]3 years ago
7 0

Answer:

249 cm^2

Step-by-step explanation:

This problem becomes easier if we subdivide the figure, find the areas of the resulting figures and then sum them up.

Draw a vertical line straight down from the edge marked "4 cm" towards the edge marked "18 cm."  The resulting rectangle on the left is 15.5 cm long and (18 - 7.5) cm wide, or 15.5 by 10.5 cm.  Its area is 162.75 cm^2.

Next, find the area of the rectangle on the right of the line we drew.  Its width is 7.5 cm and its height (15.5 - 4) cm, resulting in an area of 86.25 cm^2.

Last, add together these two subareas:  combine 86.25 cm^2 and 162.75 cm^2.  The total area of the composite figure is then 249 cm^2 (answer).

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A patrolman spends 25% every day completing paperwork. The patrolman’s shift each day is 8 hours. How much of his time does he s
fredd [130]
Assuming the man works 8 hours straight without breaks:

25% is the same as 1/4 of something.

So, we just have to figure out what 1/4 (one quarter) of 8 equals.

You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.

If we take away 1/2 (half) of the pizza, we have 4 slices, right? Since we start with 8 slices, half of that equals 4 slices. In other words, 50% (half) of the pizza = 4 slices.

Now, 25% (one quarter) of the pizza will equal half of what is left:

If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).

That's it! 25% of 8 hours = 2 hours.

***So, the patrolman spends 2 hours each day completing paperwork.***

Lets check our work:
We know 8 hours (or 8 slices)= 100%
(We know this because
8 slices = 1 whole pizza, or 100% of a pizza. Similarly,
8 hours = 1 whole shift or 100% of the man's shift ).

So

25% + 25% + 25% + 25% = 100%

If 100% of the mans shift = 8 hours:

2+2+2+2 = 8

It checks out!


Hope this helps!



4 0
3 years ago
Simplify (1-b/a)÷(1-a/b)​
TEA [102]

Answer

\frac{ba-b^{2} }{ab-a^{2} }

Step-by-step explanation:

\frac{1-\frac{b}{a} }{1-\frac{a}{b} } = \frac{\frac{a-b}{a}}{\frac{b-a}{b}} = \frac{b(a-b)}{a(b-a)}

\frac{ba -b^{2} }{ab-a^{2} }

7 0
2 years ago
4(2k-3)+1=8k-11 help pls
Fofino [41]
4(2k - 3) + 1 = 8k - 11
8k - 12 + 1 = 8k - 11
8k - 11 = 8k - 11

So, these two equations equal to the same thing.
Glad I could help and gave a fantastic day!
8 0
2 years ago
Principal clements wants to buy a pencil for each of the 57 fourth graders in her school. The pencils come in packages of 6. How
Scrat [10]

Principal clements needs to buy 10 packages

<em><u>Solution:</u></em>

Given that, Principal clements wants to buy a pencil for each of the 57 fourth graders in her school

The pencils come in packages of 6

Therefore,

Total number of students = 57

<em><u>Thus, divide 57 by 6 to get the number of packages clements need to buy</u></em>

\text{Number of packages } = \frac{\text{total number of students }}{6}<em><u></u></em>

<em><u>Substituting the given values we get,</u></em>

\text{Number of packages } = \frac{57}{6} \\\\\text{Number of packages }= 9.5 \approx 10

Thus principal clements needs to buy 10 packages

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