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grigory [225]
4 years ago
7

Given the flag of djibouti with length 20 cm and breadth 12 cm. The red star take up 5% of the area of the white triangle. The w

hite triangle's tip is in the center of the flag. Find the area of the red star?
Mathematics
1 answer:
Lelechka [254]4 years ago
6 0

Answer: 3 cm²

Step-by-step explanation:

White triangle tip is in center that means that one side of triangle is even with breadth of flag

a ₁=b=12 cm

Hight of triangle is half of flag length

h₁=a/2=20 cm/2=10 cm

use equatin for area of triangle

A=a₁*h₁/2

A=12*10/2

A=60cm²

Red star takes 5% of white triangle area.

A₂=60 cm²*5%= 60cm²*(5/100)=300cm²/100=3cm²

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2 = 3 − q what does 9 equal
IgorLugansk [536]

Step-by-step explanation:

2 = 3 - q

1 = (3 - q)×1/2

9 =(3 - q) ×1/2×9

9 = 27 - Q/2

8 0
3 years ago
Read 2 more answers
If you copy a page on a machine at 72%, you should get a similar copy of the page. What is the corresponding setting to obtain t
allsm [11]

Answer:

138\frac{8}{9}\%

Step-by-step explanation:

we know that

To find out the corresponding setting to obtain the original from the copy, divide 100% by 72%

so

\frac{100}{72}

Simplify

\frac{100}{72}=\frac{25}{18}

Convert to percentage

\frac{25}{18}(100)=\frac{2,500}{18}\%

Simplify

\frac{2,500}{18}\%=\frac{1,250}{9}\%

Convert to mixed number

\frac{1,250}{9}\%=\frac{1,242}{9}+\frac{8}{9}=138\frac{8}{9}\%

5 0
3 years ago
Is the sum of the areas of two smaller squares equal to the area of a large square if the sides lengths of the squares are 8 fee
77julia77 [94]
No.
The sum of the areas of the two smaller squares is 5^2 + 3^2 = 34
The area of the larger square is 8^2=64
34 does not = 64
5 0
3 years ago
Write Y=x^2+18x+90 In vertex form
Elena-2011 [213]

Answer:

y = (x + 9)² + 9

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

given a parabola in standard form : ax² + bx + c : a ≠ 0

the the x-coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = x² + 18x + 90 is in standard form

with a = 1, b= 18 and c = 90

x_{vertex} = - \frac{18}{2} = - 9

to find the corresponding y-coordinate substitute x = - 9 into the equation

y = (- 9)² + 18(- 9) + 90 = 81 - 162 + 90 = 9

⇒ y = (x + 9)² + 9 ← in vertex form


6 0
3 years ago
Each morning John eats some eggs. On any given morning, the number of eggs he eats is equally likelyto 1, 2, 3, 4, or 5 independ
qaws [65]

Answer:

Mean = 3

Variance = 2

Step-by-step explanation:

Since number of eggs he eats is equally likely to any 5 numbers, probability of each one will be (1/5) = 0.2

The probability mass function will therefore be

x 1 2 3 4 5

p 0.2 0.2 0.2 0.2 0.2

The mean is given as the expected value

And expected value is given as

E(X) = Σ xᵢpᵢ

where x = each possible sample space

p = probability of the sample space occurring.

E(X) = (1×0.2) + (2×0.2) + (3×0.2) + (4×0.2) + (5×0.2) = 3 eggs.

b) Variance is given by

Variance = Var(X) = Σx²p − μ²

where μ = E(X)

Σx²p = (1² × 0.2) + (2² × 0.2) + (3² × 0.2) + (4² × 0.2) + (5² × 0.2) = 0.2 + 0.8 + 1.8 + 3.2 + 5 = 11

Var(X) = Σx²p − μ² = 11 - 3² = 11 - 9 = 2

5 0
3 years ago
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