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Vladimir79 [104]
3 years ago
5

Need help for this assignment

Mathematics
1 answer:
Alecsey [184]3 years ago
3 0
If you need help please message me
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the brightness of the illumination of an object varies inversely as the square of the distance from the object to the source of
Free_Kalibri [48]
I=k/d^2

4=k/d^2 and 1=k/64  so if we divide the first by the second we get:

4/1=(k/d^2)/(k/64)

4=(k/d^2)*(64/k)

4=64/d^2

d^2=64/4

d^2=16

d=4 meters


3 0
3 years ago
5. 3x + 5y + 5z =1<br> x - 2y = 5<br> 2x + 4y = 11
lilavasa [31]

Answer:

see explanation

Step-by-step explanation:

Given the 3 equations

3x + 5y + 5z = 1 → (1)

x - 2y = 5 → (2)

2x + 4y = 11 → (3)

Use (2) and (3) to solve for x and y

Multiply (2) by 2

2x - 4y = 10 → (4)

Add (3) and (4) term by term

4x = 21 ( divide both sides by 4 )

x = \frac{21}{4\\}

Substitute this value of x into (3)

2 × \frac{21}{4\\} + 4y = 11

\frac{21}{2\\} + 4y = 11 ( subtract \frac{21}{2\\} from both sides )

4y = \frac{1}{2} ( divide both sides by 4 )

y = \frac{1}{8\\}

Substitute the values of x and y into (1) and solve for z

3 × \frac{21}{4\\} + 5 × \frac{1}{8\\} + 5z = 1

\frac{63}{4} + \frac{5}{8} + 5z = 1

\frac{131}{8} + 5z = 1 ( subtract \frac{131}{8} from both sides )

5z = - \frac{123}{8} ( divide both sides by 5 )

z = - \frac{123}{40}

Solution is

x = \frac{21}{4\\}, y = \frac{1}{8\\}, z = - \frac{123}{40}

3 0
3 years ago
The length around the outside of semicircle O from point L through point M to point N is 14 centimeters. The perimeter of semici
Luden [163]
The area would be 83.67 cm.

A semicircle is half of a circle.  The perimeter of the semicircle would be half of the perimeter (circumference) of the entire circle.  The formula for circumference is:

C=πd

Using our information, we have  

22.92 = 0.5(3.14)d
22.92 = 1.57d

Divide both sides by 1.57:

22.92/1.57 = 1.57d/1.57
14.6≈d

Since the diameter is 14.6, the radius is 14.6/2 = 7.3.

We use the radius for the area of the semicircle:

A=0.5πr²
=0.5(3.14)(7.3)²
=83.67
3 0
3 years ago
Find Sin A, Cos A, and Tan A given the following triangle.
Solnce55 [7]

Answer:

A

Step-by-step explanation:

sin A=(opposite side)/hypotenuse=a/c

cos A=(adjacent side)/hypotenuse=b/c

tan A=(opposite side)/(adjacent side)=a/b

8 0
3 years ago
Pls pls pls pls pls pls
Vesna [10]

Answer:

$30

Step-by-step explanation:

One dollar is 17 pesos according to the chart, so 510/17 would be the US dollar price ($30)

6 0
3 years ago
Read 2 more answers
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