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3 years ago

9

To the nearest tenth what is the length of the hypotenuse of a right triangle if one side measures 4.5meters and the other side

measures 9 meters.

1 answer:

allsm [11]3 years ago

3 0

Answer:

Step-by-step explanation:

c^2 = a^2 + b^2

4.5^2 + 9^2 = 101.25

c = sqrt 101.25 = 10.06 = 10.1 meters

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Christine took 3 tests and had an average of 76. She has one more test to take and she wants an average of 80. What is the lowes

amm1812

Answer: She has to score a minimum of 92 marks to take her average to 80

Step-by-step explanation:

Let the equation be

Three months total = 76 x 3 = 228

(x + 228) / 4 = 80

x + 228 = 80 x 4

x = 320 - 228

x = 92

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3 years ago

Justify each step in solving the equation 4X equals seven times X -3

torisob [31]

4x = 7(x-3)

1. Distribute that multiplicand 7: 4x = 7x - 21

2. Group the x terms together: Subtract 4x from both sides: 0 = 3x - 21

3. Solve for x: Add 21 to both sides: 21 = 3x

4. Divide both sides by 3 to obtain x = 7 (answer)

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3 years ago

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A circle is the collection of points in a plane that are the same distance from a given point in the plane.

RoseWind [281]

Answer:

True - The above statement is true

A circle is the collection of points in a plane that are the same distance from a given point in the plane.

Step-by-step explanation:

<em><u>A circle is the set of points in a plane that are a given distance from a given point in the plane. The given point is the center of the circle, and the given distance is the radius.</u></em>
In other words; A circle is the set of points in a plane that are equidistant from a given center point. Therefore; the locus of points at a fixed distance, d, from the point, P is a circle with the given point P as its center and d as its radius.

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3 years ago

Given that cos θ = –12∕13 and θ is in quadrant III, find csc θ.

Trava [24]

Answer:

A

Step-by-step explanation:

We are given:

$\displaystyle \cos(\theta)=-\frac{12}{13},\,\theta\in\text{QIII}$

Since cosine is the ratio of the adjacent side over the hypotenuse, this means that the opposite side is (we can ignore negatives for now):

$o=\sqrt{13^2-12^2}=\sqrt{25}=5$

So, the opposite side is 5, the adjacent side is 12, and the hypotenuse is 13.

And since θ is in QIII, sine/cosecant is negative, cosine/secant is negative, and tangent/cotangent is positive.

Cosecant is given by the hypotenuse over the opposite side. Thus:

$\displaystyle \csc(\theta)=\frac{13}{5}$

Since θ is in QIII, cosecant must be negative:

$\displaystyle \csc(\theta)=-\frac{13}{5}$

Our answer is A.

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3 years ago

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I really need help please

Mkey [24]

So.. let's say ∡AGB and ∡BGC are say "a" units wide, and ∡CGD and ∡DGE are "b" units wide

notice the picture below

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now, notice in the picture, the ∡BGD is really just " a + b " wide, notice the green angle in the picture of ∡BGD, well, we know what a + b is

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3 years ago