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Colt1911 [192]
3 years ago
9

Please help!!!!!!!!!!!!1.4.1 and 1.4.2 only​

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
5 0

Answer:

1

Step-by-step explanation:

easy

azamat3 years ago
5 0

9514 1404 393

Answer:

  1.4.1  35.34 mm²

  1.4.2  113.10 mm

Step-by-step explanation:

1.4.1 There are 5 circles in the first two patterns. The area of one circle in terms of its diameter is ...

  A = (π/4)d²

Then the area of the 5 circles is ...

  A = 5(π/4)(3 mm)² = 45π/4 mm² ≈ 35.34 mm²

__

1.4.2 There are 12 circles in the first 3 patterns. The perimeter of one circle is given by the formula ...

  P = πd

Then the total perimeter of the 12 circles is ...

  P = 12π(3 mm) = 36π mm ≈ 113.10 mm

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Harvey plans to use 5 ft of shelving for four shelves whose lengths are to be a series of consecutive even numbers. How many inc
IgorC [24]
5 ft = 5 * 12 in = 60 inches
Four consecutive even numbers are: x,  x + 2,  x + 4,  x + 6
x + x + 2 + x + 4 + x + 6 = 60
4 x + 12 = 60
4 x = 60 - 12
4 x = 48
x = 48 : 4
x = 12
Answer:
Those shelves should be: 12,  14,  16  and 18 inches long.
Verification:  12 + 14 + 16 + 18 = 60 in = 5 ft.
7 0
4 years ago
What is the standard deviation of the data? 0.5 1.5 2.0 2.5
vesna_86 [32]

Answer:

0.74

Step-by-step explanation:

The standard deviation of a data set is the sqaure root of the variance, so first we must find the variance. The equation for variance is:

σ² = \frac{{(x_{1}-[x bar] )}^{2}+...+{(x_{n}-[x bar]) }^{2}}{n}

x = number in the data set
xbar = median of the data set
n = number of terms

Plugging in the given values, the equation for the variance of this number set is:

σ² = \frac{(0.5 - 1.625)^{2}  + (1.5 - 1.625)^{2}+ (2.0 - 1.625)^{2}+(2.5 - 1.625)^{2} }{4}

Solving:

= \frac{1.265625+0.015625+0.140625+0.765625}{4}

= \frac{2.1875}{4}

σ² = 0.546875

Since the standard devianation is the sqaure root of the variance, we'll sqaure 0.546875:

\sqrt{0.546875}

= 0.73950997288745

= 0.74 (rounded)

hope this helps!

4 0
2 years ago
Solving the Quadratic equations by completing the square: 2x^2-7x+2=0
Zigmanuir [339]

Step-by-step explanation:

Check the above photos...

3 0
4 years ago
The price of a car £15,400 before it is reduced by 8%
gladu [14]
I don’t have a calculator but it’s 15,400X0.92
7 0
3 years ago
Read 2 more answers
Can some one help me. The QN is SIMPLIFY BY RATIONALISING DENOMINATOR.
WITCHER [35]

Answer:

\frac{10}{3} - \frac{2\sqrt{7} }{3}

Step-by-step explanation:

Rationalise the denominator by multiplying the numerator/ denominator by the conjugate of the denominator

the conjugate of \sqrt{7} + 5 is \sqrt{7} - 5, hence

12 / (\sqrt{7} + 5) × (\sqrt{7} - 5 ) / (\sqrt{7} - 5)

= (12\sqrt{7} - 60 ) / - 18

= \frac{10}{3} - \frac{2\sqrt{7} }{3}


5 0
3 years ago
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