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love history [14]
2 years ago
5

Write the smallest whole number that make this statement correct 1142 > >981​

Mathematics
1 answer:
jonny [76]2 years ago
6 0

Answer:

982

Step-by-step explanation:

The teacher is asking for the smallest number which fits the statement. 982 is correct because it is only one more than 981.

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Elmer works in a computer store. He is paid a weekly salary $180 and a commission of 4.5% of all sales. One week, he sold $9770
WINSTONCH [101]

Answer:

$619.65

Step-by-step explanation:

We know that he gets paid 180 a week, but we don't know how much he got from the commission of his sales. To find it, you multiply 9770 by 0.045 (because 0.045 = 4.5%) which you get 439.65. You then add the 180 to get 619.65.

5 0
3 years ago
1. Trig Function
Dima020 [189]

The values of the given trig functions in terms of sinθ and/or cosθ are:

sinθ = <u>tanθ.cosθ</u>

cosθ = <u>sinθ/tanθ</u>

secθ = <u>1/cosθ</u>

cscθ = <u>1/sinθ</u>

tanθ = <u>sinθ/cosθ</u>

cotθ = <u>cosθ/sinθ</u>

<h3>Trigonometric functions </h3>

From the question, we are to determine the values of the given trig functions in terms of sinθ and/or cosθ

  • sinθ

NOTE: tanθ = sinθ / cosθ

∴ sinθ = tanθ.cosθ

  • cosθ

From above, we can write that

cosθ = sinθ/tanθ

  • secθ

Secant is the <u>inverse</u> of cosine

∴ secθ = 1/cosθ

  • cscθ (cosecθ)

Cosecant is the <u>inverse</u> of sine

∴ cscθ = 1/sinθ

  • tanθ

tanθ = sinθ/cosθ

  • cotθ

Cotangent is the <u>inverse</u> of tangent
∴ cotθ = 1/tanθ

But, tanθ = sinθ/cosθ

∴ cotθ = cosθ/sinθ

Hence, the values of the given trig functions in terms of sinθ and/or cosθ are:

sinθ = <u>tanθ.cosθ</u>

cosθ = <u>sinθ/tanθ</u>

secθ = <u>1/cosθ</u>

cscθ = <u>1/sinθ</u>

tanθ = <u>sinθ/cosθ</u>

cotθ = <u>cosθ/sinθ</u>

Learn more on Trigonometric functions here: brainly.com/question/10316891

#SPJ1

4 0
2 years ago
Can someone please solve
BartSMP [9]

Answer: \sqrt{7}

Step-by-step explanation:

Using the Pythagorean theorem,

3^2 + b^2 = 4^2\\\\9+b^2 = 16\\\\b^2 = 7\\\\b=\boxed{\sqrt{7}}

8 0
2 years ago
Which is not a benefit for direct deposit?
vampirchik [111]
C. You can plan when you a paying bills.
I think this is the answer because it does not have a direct correlation to direct deposits to me.
3 0
3 years ago
Read 2 more answers
Find a homogeneous linear differential equation with constant coefficients whose general solution is given by
frez [133]

Answer:

y" + 2y' + 2y = 0

Step-by-step explanation:

Given

y=c_1e^{-x}cosx+c_2e^{-x}sinx

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)

Where

\alpha = -1 and \beta = 1

For a homogeneous linear differential equation, the repeated value m is given as:

m = \alpha \± \beta i

Substitute values for \alpha and \beta

m = -1 \± 1*i

m = -1 \± i

Add 1 to both sides

m +1= 1 -1 \± i

m +1= \± i

Square both sides

(m +1)^2= (\± i)^2

m^2 + m + m + 1 = i^2

m^2 + 2m + 1 = i^2

In complex numbers:

i^2 = -1

So, the expression becomes:

m^2 + 2m + 1 = -1

Add 1 to both sides

m^2 + 2m + 1 +1= -1+1

m^2 + 2m + 2= 0

This corresponds to the homogeneous linear differential equation

y" + 2y' + 2y = 0

6 0
3 years ago
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