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3 years ago

Can somebody please help with this?

Mathematics

1 answer:

Digiron [165]3 years ago

6 0

Answer:

x=8°

y= 96°

z= 96°

Step-by-step explanation:

Solve for z first. The whole circle is 360° so if you only count half the angles it will add up to 180°.

Solve for z:

48+36+z=180°

84+z+180°

z=96°

Now that you have z you can solve for x by using only the bottom half of the circle.

z+36+6x=180° *remember z=96

96+36+6x=180

132+6x=180

6x=48

x=8°

Now you can solve for y by either plugging x into an equation or by knowing that opposite angles are equal.

y=96°

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Hi there!

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We are given the HYPOTENUSE and ADJACENT sides, so we must use cosine in this instance.

cosθ = Adjacent/Hypotenuse

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cos(28) = A/17

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5 0

3 years ago

Whats the solution

Sergio039 [100]

Answer:

Step-by-step explanation:

To find the center and the radius, we need to put the equation in the (x-a)^2+(y-b)^2=r^2 [a is the x-coordinate, b is the y-coordinate, and r is the radius].

(x+6)^2+(y+7)^2 - 36 - 49 + 69 = 0

(x+6)^2+(y+7)^2 - 16 = 0

(x+6)^2+(y+7)^2 = 16

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The center is (-6,-7) and the radius is 4.

Hope this helps!

5 0

3 years ago

The line through (6,-6) with slope 1/2 in point-slope form ?

aleksandrvk [35]

Answer: $y + 6 = \frac{1}{2}(x - 6)$

Step-by-step explanation:

Point-slope formula: $y - y1 = m(x - x1)$

Plug in the numbers: $y - -6 = \frac{1}{2}(x-6)$

Clear the double negatives: $y + 6 = \frac{1}{2}(x - 6)$

8 0

3 years ago

What is the value of x in the equation x - y = 30, when y = 15? O4 O 8 O 80 O 200

olganol [36]

$\frac{1}{5}x - \frac{2}{3} y = 30 \\$

Putting the value of Y = 15

$\frac{1}{5} x - \frac{2}{3} \times 15 = 30 \\ \frac{1}{5} x = 30 + 10 \\ \frac{1}{5} x = 40 \\ x = 5 \times 40 \\ x = 200$

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3 years ago

Laboratory experiment shows that the life of the average butterfly is normally distributed with a mean of 18.8 days and a standa

inessss [21]

Answer:

a) 0.4164

Step-by-step explanation:

Mean lifespan (μ) = 18.8 days

Standard deviation (σ) = 2 days

For any given lifespan 'X', the z-score is:

$z=\frac{X- \mu}{\sigma} \\z=\frac{X- 18.8}{2}$

For X=12.04 days:

$z=\frac{12.04 - 18.8}{2} \\z=-3.38$

A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.

For X=18.38 days:

$z=\frac{18.38 - 18.8}{2} \\z=-0.21$

A z-score of -3.38 falls in the 41.68th percentile of a normal distribution.

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$P=41.68-0.036\\P=41.64\%\ or\ 0.4164$

6 0

3 years ago

Can somebody please help with this? ​

Can somebody please help with this?