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marissa [1.9K]
3 years ago
8

The answers for the questions on the list please

Mathematics
1 answer:
algol133 years ago
8 0
If f(x)=3x-8, then f(3)= 1 which is C. 
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A 10 ft pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 degree an
mr Goodwill [35]

Answer:

The length of rope is 20.0 ft . Hence, <u>option (1) </u> is correct.

Step-by-step explanation:

In the figure below AB represents pole having height 10 ft  and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.

The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.

In right angled triangle ABC with right angle at B.

Since we have to find the length of rope that is the value of side AC.

Using trigonometric ratios

\sin C=\frac{\text{perpendicular}}{\text{hypotenuse}}

\sin C=\frac{AB}{AC}

Putting values,

\sin 30^\circ} =\frac{10}{AC}

We know, \sin 30^\circ}=\frac{1}{2}

\frac{1}{2} =\frac{10}{AC}

On solving we get,

AC= 20.0 ft

Thus, the length of rope is 20.0 ft

Hence, <u>option (1)</u> is correct.

8 0
3 years ago
Read 2 more answers
When she is outdoors, Tasha the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between he
Vlad [161]

Answer: the length of the arc from her dog house to the hydrant is 69 feet

Step-by-step explanation:

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = 24 feet

θ = 165 degrees

Therefore,

Length of the minor arc, DG = 165/360 × 2 × 3.14 × 24

Length of arc = 69 feet rounded up to the nearest feet.

3 0
2 years ago
Division w/ remainder<br><br><br> help
Allisa [31]

Answer:

So for the first one, circle Ignored it becaue you cna't buy any more.

For number 2, Quotient is 8 & R is 10. Circle Rounded the quotient up because you need another bin to hold it.

Step-by-step explanation:

5 0
2 years ago
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Match the independent variable, dependent variable and constant for the following statement.
den301095 [7]
Independent: cell phone plan
dependent: monthly cost
constant: per month/per minute (money)
5 0
3 years ago
Which two theorems would justify that m∠4 = m∠6, given that m∠5 = m∠6 in the diagram below?
My name is Ann [436]

Answer: D) vertical angles theorem, alternate interior angles theorem

Angle 5 = Angle 6 by the alternate interior angles theorem

Angle 5 = angle 4 by the vertical angles theorem

By the transitive property, we can then say angle 4 = angle 6. These angles are also corresponding angles.

We won't use the angle addition theorem or the right angles theorem.

4 0
2 years ago
Read 2 more answers
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