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4 years ago

Need expert answer...Solve if you know,Explain your answer if you don't...Thank you.

Mathematics

1 answer:

Igoryamba4 years ago

3 0

Answer:

Step-by-step explanation:

A piece wise function involves two or more functions over specific intervals. The equations of the two lines are the following y=x+1 and y=-x+2. The line y=-x+2 continues to the right and has an open circle at the end. So this point is not included. This means the interval is a greater than sign but not equal to. This means C is the answer.

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Eduardo has $24 saved. if he saves $8 each week, how much will he have in 5 weeks?

MAVERICK [17]

Answer:

$40

Step-by-step explanation:

$8 x 5 = $40

6 0

3 years ago

Sanya has a piece of land which is in the shape of a rhombus. She wants her one daughter and one son to work on the land and pro

Neporo4naja [7]

${\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}$

★ Sanya has a piece of land which is in the shape of a rhombus.

★ She wants her one daughter and one son to work on the land and produce different crops, for which she divides the land in two equal parts.

★ Perimeter of land = 400 m.

★ One of the diagonal = 160 m.

${\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}$

★ Area each of them [son and daughter] will get.

${\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}$

Let, ABCD be the rhombus shaped field and each side of the field be $x$

[ All sides of the rhombus are equal, therefore we will let the each side of the field be $x$ ]

Now,

• Perimeter = 400m

$\longrightarrow \tt AB+BC+CD+AD=400m$

$\longrightarrow \tt x + x + x + x=400$

$\longrightarrow \tt 4x=400$

$\longrightarrow \tt \: x = \dfrac{400}{4}$

$\longrightarrow \tt x= \red{100m}$

$\therefore$ Each side of the field = 100m.

Now, we have to find the area each [son and daughter] will get.

So, For $\triangle$ ABD,

Here,

• a = 100 [AB]

• b = 100 [AD]

• c = 160 [BD]

$\therefore \tt Simi \: perimeter \: [S] = \boxed{ \sf \dfrac{a + b + c}{2} }$

$\longrightarrow \tt S = \dfrac{100 + 100 + 160}{2}$

$\longrightarrow \tt S = \cancel{ \dfrac{360}{2}}$

$\longrightarrow \tt S = 180m$

Using herons formula,

$\star \tt Area \: of \: \triangle = \boxed{\bf{{ \sqrt{s(s - a)(s - b)(s - c) } }}} \star$

where

• s is the simi perimeter = 180m

• a, b and c are sides of the triangle which are 100m, 100m and 160m respectively.

Putting the values,

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{180(180 - 100)(180 - 100)(180 - 160) }$

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{180(80)(80)(20) }$

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{180 \times 80 \times 80 \times 20 }$

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{9 \times 20 \times 20 \times 80 \times 80}$

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \tt \sqrt{ {3}^{2} \times {20}^{2} \times {80}^{2} }$

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = 3 \times 20 \times 80$

$\longrightarrow \tt Area_{ ( \triangle \: ABD)} = \red{ 4800 \: {m}^{2} }$

Thus, area of $\triangle$ ABD = 4800 m²

As both the triangles have same sides

So,

Area of $\triangle$ BCD = 4800 m²

Therefore, area each of them [son and daughter] will get = 4800 m²

${\large{\textsf{\textbf{\underline{\underline{Note :}}}}}}$

★ Figure in attachment.

${\underline{\rule{290pt}{2pt}}}$

7 0

2 years ago

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On a coordinate plane, a line goes through (0, 4) and (4, 16). The line representing the first table is shown in the graph. What

puteri [66]

Answer:

x=3

y=13

Step-by-step explanation:

okay so what that means is that the two equations are y=-x+16 and y=3x+4

so y+x=16

y-3x=4

so 4x=12 so x=3

y=13 is the solution

4 0

3 years ago

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If a 10-pound sack of potatoes costs $6.55, how much would 1 pound cost? Round your answer to the nearest cent.

Black_prince [1.1K]

$\begin{array}{ccc}10\ lb&-&\$6.55\\\\1\ lb&-&\$ x\end{array}\ \ \ |cross\ multiply\\\\\\\\10\cdot x=1\cdot6.55\\\\10x=6.55\ \ \ \ |divide\ both\ sides\ by\ 10\\\\x=\frac{6.55}{10}\\\\x=0.65\underline{5}\approx\boxed{\$0.66}\\$

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up (+1).

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4 years ago

Which is greater between |5| amd |2|

pshichka [43]

Answer:

|5| = 5 and |2| = 2 and because 5 > 2, our answer is |5| > |2|.

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3 years ago

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