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xz_007 [3.2K]
3 years ago
7

Identify which of the twelve basic functions listed below fit the description given

Mathematics
1 answer:
DENIUS [597]3 years ago
3 0

Answer:

b.\:\: y=\sin(x),y=\cos(x)

Step-by-step explanation:

The range of the sine and cosine functions is -1\le x\le1.

This means that the maximum value the basic sine and cone functions is 1 and the minimum value is -1.

This means that the two functions are bounded above and below.

The correct answer is B.

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Provide the reasons for the fol owing proof
Studentka2010 [4]

Answer:

Option d is correct.

Vertical angles are congruent;

SAS

Step-by-step explanation:

Given: JK \cong KL , NK \cong KM

In ΔNKJ and  ΔMLK

JK \cong KL and      [Side]                 {Given}

NK \cong KM      

Vertical angles states that the two lines intersect to make an X, angles on opposite sides of the X are called vertical angles.

i.e \angle NKJ and \angle MKL are vertical angles.

Also, vertical angles are congruent.

\angle NKJ \cong \angle MKL  [Angle]      [Vertical angles are congruent]

SAS(Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

then, by SAS postulates;

\triangle NKJ \cong \triangle MLK          Hence proved!

Therefore:

Statement                                                                      Reason

1.  JK \cong KL, NK \cong KM           Given

2.  \angle NKJ \cong \angle MKL                 Vertical angles are congruent

3. \triangle NKJ \cong \triangle MLK             SAS

3 0
3 years ago
Read 2 more answers
Anahita drives for 3 hours at 15 miles per hour. How far does she travel?
Lisa [10]

Answer:

45 miles

Step-by-step explanation:

Since she drives a total of 3 hours traveling 15 miles each hour you just multiply 15 times 3

4 0
3 years ago
Read 2 more answers
In the division problem, what does the 8 represent in the quotient 3653÷13=281
Bumek [7]
A 8 thirteens !!!!!!!!
4 0
3 years ago
Freeda estimates that sales in her Bed & Breakfast will grow at 6% compounded annually. If
dexar [7]

Answer: in five years time, the sales would be $100367

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total sales at the end of t years

r represents the growth rate.

n represents the periodic interval at which it was compounded.

P represents the current sales.

t represents the time in years

From the information given,

P = 75000

r = 6% = 6/100 = 0.06

n = 11 because it was compounded once in a year.

t = 5 years

Therefore,

A = 75000(1+0.06/1)^1 × 5

A = 75000(1+0.06)^5

A = 75000(1.06)^5

A = $100367

7 0
4 years ago
Find the perimeter of the square 4x+3 in and 3(2x-5) in
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