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bekas [8.4K]
3 years ago
11

Find the correct plugged in formula for each figure.

Mathematics
1 answer:
Mars2501 [29]3 years ago
8 0

Answer:

Area = 40 ( 84)+ 2 *(294)

Step-by-step explanation:

There is only one figure in the attached image and the solution (surface area) is as follows:

The shape can be sub-divided into:

1. Rectangle

Dimension: 40 by 35

2. Rectangle

Dimension: 40 by 28

3. Rectangle

Dimension: 21 by 40

4. 2 triangles

Base: 21 and Height: 28

Calculate area of each and add them up to get the surface area of the figure.

1. Rectangle

Dimension: 40 by 35

A_1 = 40 * 35

2. Rectangle

Dimension: 40 by 28

A_2 = 40 * 28

3. Rectangle

Dimension: 21 by 40

A_3 = 40 * 21

4. 2 triangles

Base: 21 and Height: 28

A_4 = 2 * \frac{1}{2} * 21 * 28

So, the area is:

Area = A_1 +...+A_4

Area = 40 * 35 + 40 * 28 +40 * 21 + 2 * \frac{1}{2} * 21 * 28

Factor out 40

Area = 40 ( 35 +  28 + 21 )+ 2 * \frac{1}{2} * 21 * 28

Area = 40 ( 84)+ 2 * \frac{1}{2} * 21 * 28

Area = 40 ( 84)+ 2 *(294)

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Let's say Bailey takes "b" days to paint it.

and Andrew takes "a" days to paint the same house.

now, Andrew is 6 times faster than Bailey, therefore, if Andrew takes "a" days to do it, Bailey takes then "6a" days, or b = 6a.

now, the year they worked together, they finished it in 7 days.

so, after 1 day then, they have only done 1/7 of the whole work.

and Andrew for one day, has done 1/a of the house, whilst Bailey has done 1/b of the house or 1/(6a).

\bf \stackrel{\textit{Andrew's rate}}{\cfrac{1}{a}}+\stackrel{\textit{Bailey's rate}}{\cfrac{1}{b}}=\stackrel{\textit{1 day of work}}{\cfrac{1}{7}}
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\cfrac{1}{a}+\cfrac{1}{6a}=\cfrac{1}{7}\impliedby 
\begin{array}{llll}
\textit{let's multiply all by }\stackrel{LCD}{42a}\textit{ to toss the}\\
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\bf 42a\left( \cfrac{1}{a}+\cfrac{1}{6a} \right)=42a\left( \cfrac{1}{7} \right)\implies 42+7=6a\implies \cfrac{49}{6}=a
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Knut had picked strawberries during the summer holidays. First days he picked 9090 baskets of strawberries! The next day he was
jasenka [17]

Answer:

190 baskets of strawberries

Step-by-step explanation:

The question is incomplete as it didn't state what we are to determine from the information given.

Let's determine total amount picked in the three days.

1st day picked 90strawberries

Amount of strawberries on 2nd day = 2/3 of the amount picked 1st day

= (2/3)(90)

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Amount of strawberries picked on 3rd day = (2/3) of the amount picked 2nd day

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Amount of strawberries picked on 3rd day = 40 basket of strawberries

Total amount picked for 3 days = 90+60+40

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