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2 years ago

Answer the following.

Mathematics

1 answer:

Leona [35]2 years ago

8 0

In any triangle, the sum of the angles is always 180 degrees
So 105 + 40 + x = 180
145 + x = 180
x = 180 - 145
x = 35 degrees

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1 matrix question help (with picture)

Dominik [7]

Answer:

a = 9/2

Step-by-step explanation:

In order for the equation to be true, the value of the scalar multiplier must be ...

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So, you're solving ...

(2/3)a + 2 = 5

(2/3)a = 3 . . . . . . subtract 2

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3 years ago

Cherie is jogging around a circular track. She

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Answer:

Measure of minor angle JOG is $95.5^{\circ}$

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.

$\therefore m JG = 200 yards, JO=120 yards$ .

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle $\angle JOG = \theta$ .

To calculate the central angle, use the arc length formula as follows.

$Arc\:Length\left(s\right) = r\:\theta$

Where $\theta$ is measured in radian.

Substituting the value,

$200=120\:\theta$

Dividing both side by 120,

$\dfrac{200}{120}=\theta$

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

$\therefore \dfrac{5}{3}=\theta$

Therefore value of central angle is $\angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}$ , since angle is in radian

Now convert radian into degree by using following formula,

$1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}$

So multiplying $\theta$ with $\left(\dfrac{180}{\pi}\right)^{\circ}$ to convert it into degree.

$\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}$

Simplifying,

$\therefore \theta = 95.49^{circ}$

So to nearest tenth, $\angle JOG=95.5^{circ}$

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Step-by-step explanation:

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2 years ago

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810+189-715= 284. the answer is 284

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago