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Dominik [7]
3 years ago
11

Given the figure below, find the values of x and z.

Mathematics
2 answers:
Aliun [14]3 years ago
5 0

Answer:

x = 14° and z = 83°

Step-by-step explanation:

We know that the vertical angles of intersecting lines are equal.

Thus, 13x - 85 = 97

i.e. 13x = 97 + 85

i.e. 13x = 182

i.e. x=\frac{182}{13}

i.e. x = 14°

Since, the sum of all the four angles formed by intersecting line is 360°.

We get,

(13x-85) + 97 + 2z = 360°  (Take 2z as opposite angles are equal)

i.e. 2z = 360 - 97 + 85 - 13 × 14

i.e. 2z = 360 - 12 - 182

i.e. 2z = 360 - 194

i.e. 2z = 166

i.e. z=\frac{166}{2}

i.e. z = 83°

Hence, we get the angles x = 14° and z = 83°.

nataly862011 [7]3 years ago
3 0
First, because 13x-85 and 97 are across from each other like that, you know that they are equal to each other. If you solve, you know that x is equal to 14. Then, you know that all the angles must equal 360 degrees. If you add 97 and 97 together, you get 194. Now, subtract that by 360, and you get the remaining degrees of the other two angles. Then, divide that by two, and z equals 83. Hope this helped!
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Answer: 3.61×10^5 A

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The formulae is given below as

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u = permeability of free space = 1.256×10^-6 mkg/s²A²

I = current on loop =?

a = radius of loop.

Radius of loop is gotten as shown... Radius = diameter /2, but diameter = 65mm hence radius = 32.5mm = 32.5×10^-3 m = 3.25×10^-2m

x = distance of the sensor away from center of loop = 2.10 cm = 0.021m

By substituting the parameters into the formulae, we have that

4.15 = 1.256×10^-6 × I × (3.25×10^-2)²/2{(0.021²) + (3.25×10^-2)²}^3/2

4.15 = 13.2665 × 10^-10 × I/ 2( 0.00149725)^3/2

4.15 = 1.32665 ×10^-9 × I / 2( 0.000058)

4.15 × 2( 0.000058) = 1.32665 ×10^-9 × I

I = 4.15 × 2( 0.000058)/ 1.32665 ×10^-9

I = 4.80×10^-4 / 1.32665 ×10^-9

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3 0
3 years ago
PLZZZZ HELPPPP THIS IS A TIMED TESTTT!!
lorasvet [3.4K]

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Answer:

1733.28 m³ or approximately 1733 m³

Step-by-step explanation:

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4 0
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Per
Levart [38]

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8 0
3 years ago
A bacteria culture starts with 100 bacteria and doubles in size every half hour.
taurus [48]

Answer:

y=25600

y=100(2)^{2t}

y=252

Step-by-step explanation:

A bacteria culture starts with 100 bacteria and doubles in size every half hour.

y=100(2)^{2x}

where x represents the number of hours

(a) t= 4 hours

Plug in 4 for t  and find out the number of bacteria y

y=100(2)^{2 \cdot 4}\\y=25600

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convert 40 seconds into hour

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y=100(2)^{2\frac{2}{3} }\\y=100(2)^{\frac{4}{3} }\\\\y=252

The graph is attached below

4 0
2 years ago
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