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3 years ago

What is the area of the shaded region??

Mathematics

2 answers:

NikAS [45]3 years ago

6 0

The answer is 48 units squared

Juliette [100K]3 years ago

5 0

Width of shaded part:

6^2+2^2=w^2
36+4=w^2
40=w^2
w= sqare root 40
w= 6.32455532

length of shaded part:

12^2+4^2=l^2
144+16=l^2
160=l^2
l=square root of 160
l=12.6491106407

area=12.6491106407*6.32455532
=79.9999999959which is 80, because those decimals are endless, if you multiply 12.6491106407*6.32455532, answer wouldn't be accurate, so you should round up to 80. If you use another way to solve the q, which is calculate the bigger rectangle and then subtract the area of the triangles, you will get 80 as your answer.

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What ratio will have a trail with 7:2

asambeis [7]

Answer:

7/2

Step-by-step explanation:

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3 years ago

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Rewrite the function by completing the square f(x)=x^2-14x+63

Veseljchak [2.6K]

Answer:

f(x) = (x - 7)² - 14

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Standard Form: ax² + bx + c = 0
Vertex Form: f(x) = a(bx - c)² + d
Completing the Square: (b/2)²

Step-by-step explanation:

Step 1: Define

f(x) = x² - 14x + 63

Step 2: Rewrite

Separate: f(x) = (x² - 14x) + 63
Complete the Square: f(x) = (x² - 14x + 49) + 63 - 49
Simplify: f(x) = (x - 7)² - 14

8 0

3 years ago

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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.

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

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2 years ago

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Simplify 9 x 5/9 in 4 mins

Triss [41]

Answer:

Step-by-step explanation:

9 x 5/9

9/1 * 5/9

Rewriting

9/9 * 5/1

1 * 5/1

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3 years ago

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6. Blake went to the grocery store at 6:30PM. He returned to his house around 9:14PM after running

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Answer:

The answer is 2:44 minutes. I had this question and got it right. You have to subtract 9:14 - 6:30 = 2:44. Have a great day.

Step-by-step explanation:

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3 years ago