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vladimir1956 [14]
3 years ago
11

Which of the following is a true statement for 0 degrees less than theta less than 90 degrees?

Mathematics
1 answer:
Grace [21]3 years ago
5 0

Answer:

c

Step-by-step explanation:

See the graph for an example using the specific angles \theta=60^\circ , \,\, \180^\circ-\theta=120^\circ

See how the red segments are equal  in length but going in opposite directions?

\tan{60^\circ}=\sqrt{3} \\ \tan{120^\circ=-\sqrt{3}

a. This can't be correct: it says \tan{\theta} is equal to its opposite. That is never true in Quadrant I where all tangent values are positive.

b. Not true in Quad. I. Consider \tan{60^\circ}, \,\, \tan{30^\circ}.

You might be interested in
Sin 7A = cos 3A, then m∠A is what?
lbvjy [14]

Answer:

m∠A = 9°

Step-by-step explanation:

\sin 7A =  \cos 3A \\  \\ \sin 7A =  \sin(90 \degree -  3A) \\  \\ 7A =  90 \degree -  3A\\  \\ 7A  + 3A=  90 \degree  \\  \\ 10A=  90 \degree  \\  \\ A =  \frac{90 \degree}{10}  \\  \\  m \angle A =9 \degree

8 0
3 years ago
PROBLEMS TO SOLVE
marta [7]

A graph for the data (time and distance) shown in the given table is plotted in the image attached below.

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

This ultimately implies that, the data of a linear graph are directly proportional and as such as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.

In this exercise, you're required to plot a graph for the data (time and distance) that are recorded for an object that is starting from rest.

By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the linear function is given by:

y = 67.814x

Read more on graphs here: brainly.com/question/25875680

#SPJ1

3 0
1 year ago
1. 1.5 ÷ 1.2
kirill115 [55]

Answer:

1. 25

2. 5.7

3. 10.7

4. 204

5. 100.5

Step-by-step explanation:

calculator

6 0
2 years ago
URGENT - How would I write 2 less than triple a number?
Natali5045456 [20]

Answer:

2 - 3x. I hope this helps!!!

4 0
2 years ago
Find the sum of the arithmetic sequence. 3,5,7,9,....,21
inysia [295]
The sum of any arithmetic sequence is the average of the first and last terms times the number of terms.

Any term in an arithmetic sequence is:

a(n)=a+d(n-1), where a=initial term, d=common difference, n=term number

So the first term is a, and the last term is a+d(n-1) so the sum can be expressed as:

s(n)(a+a+d(n-1))(n/2)

s(n)=(2a+dn-d)(n/2)

s(n)=(2an+dn^2-dn)/2

However we need to know how many terms are in the sequence.

a(n)=a+d(n-1), and we know a=3 and d=2 and a(n)=21 so

21=3+2(n-1)

18=2(n-1)

9=n-1

10=n so there are 10 terms in the sequence.

s(n)=(2an+dn^2-dn)/2, becomes, a=3, d=2, n=10

s(10)=(2*3*10+2*10^2-2*10)/2

s(10)=(60+200-20)/2

s(10)=240/2

s(10)=120
7 0
2 years ago
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