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Zigmanuir [339]
3 years ago
15

In the diagram, angle abc is a right angle. Find the value of x Show full working out pls ty

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

Answer:

x = 3.75

Step-by-step explanation:

ABC is a right angled triangle.

Therefore, by Pythagoras theorem:

{(10 - x)}^{2}  =  {x}^{2}  +  {5}^{2} \\ 100 - 20x +  {x}^{2}   =  {x}^{2}  + 25 \\ 100 - 20x = 25 \\  - 20x = 25 - 100 \\  - 20x =  - 75 \\ x =  \frac{ - 75}{ - 20}  \\   \:  \: \huge \red { \boxed{x = 3.75}}

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measurement error that is continuous and uniformly distributed from millivolts is added to the true voltage of a circuit. then t
satela [25.4K]

Question has missing details (Full question below)

Measurement error that is continuous and uniformly distributed from –3 to +3 millivolts is added to a circuit’s true voltage. Then the measurement is rounded to the nearest millivolt so that it becomes discrete. Suppose that the true voltage is 219 millivolts. What is the mean and variance of the measured voltage

Answer:

Mean = 219

Variance = 4

Step-by-step explanation:

Given

Let X be a random variable measurement error.

X has a discrete uniform distribution as follows

a = 219 - 3 = 216

b = 219 + 3 = 222

Mean or Expected value is calculated as follows;

E(x) = ½(216+222)

E(x) = ½ * 438

E(x) = 219

Variance is calculated as follows;

Var(x) = ((b-a+1)²-1)/12

Var(x) = ((222-216+1)²-1)/12

Var(x) = (7²-1)/12

Var(x) = 48/12

Var(x) = 4

8 0
3 years ago
Find the x-intercept of the line:
frozen [14]
2x+4y=8
-2x       -2x 
4y=-2x+8
/4    /4   /4
y=-1/2x+2
6 0
3 years ago
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lina2011 [118]

the 2nd expression is the answer

5 0
3 years ago
How many 0.45-ounce packages of cinnamon can be made with 3.15 ounces of cinnamon?​
Ghella [55]

Answer:

7 packages of cinnamon

Step-by-step explanation:

3.15/0.45 = 7

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3 years ago
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What is the y-intercept of the line y + 11 = -2(x +1.5)?<br> -<br> y-intercept = |<br> =<br> I
aleksandrvk [35]

Answer:

The y intercept of the line is (0, -14).

Step-by-step explanation:

we are given the equation

y + 11 = -2(x + 1.5)

The y-intercept of the line is the point where x = 0,

Substituting x = 0 into the expression:

y + 11 = -2(0 + 1.5)

y + 11 = -0 – 3

y + 11 = -3

y = 11 – 11 = -3 – 11

y = -14

Thus, The y intercept of the line is (0, -14).

 

<u>-TheUnknownScientist</u><u> 72</u>

6 0
2 years ago
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