sin10° + tan40° × cos10° = ?
how to solve this??

Answers

Answer 1

Final answer:

To find the value of sin10° + tan40° × cos10°, calculate each trigonometric function separately, multiply tan40° by cos10°, then add sin10° to the product. The approximate result is 1.0005, but use a calculator for a precise value.

Explanation:

To solve the expression sin10° + tan40° × cos10°, we first need to calculate the individual trigonometric values. The cosine of 10 degrees (cos(10°)) is approximately 0.9848.

Next, we calculate the tangent of 40 degrees (tan(40°)). According to the provided data, tan(40°) is approximately 0.839.

Using the trigonometric identity for the sine of a sum of angles, we cannot directly simplify the expression because the addition and multiplication involve different angles. Therefore, we perform the multiplication first:

tan40° × cos10° = 0.839 × 0.9848 ≈ 0.8265

Next, we add the value of sine of 10 degrees (sin10°) to this result. Given that sin10° is approximately 0.174:

sin10° + (tan40° × cos10°) = 0.174 + 0.8265 ≈ 1.0005.

However, due to possible rounding in intermediate steps, the actual value might be slightly different when calculated using more precise values or a calculator set to the correct mode.


Related Questions

what is the square root of nine

Answers

The square root of nine is 3.

The square root of nine is three.

DEEPER A science teacher showed an image of a carpenter bee on a wall. The image is 10 times as large as the actual bee. Then he showed another image of the bee that is 10 times as large as the first image. What is the length of the bee in the second image?

Answers

It's hundred times bigger than the real carpenter bee.

Answer:

The length of the bee in the second image is 100 times the original.

Step-by-step explanation:

A science teacher showed an image of a carpenter bee on a wall. The image is 10 times as large as the actual bee.

Let the size of the actual bee be = x

So, the first image is = 10x

Then he showed another image of the bee that is 10 times as large as the first image.

Now as the length of the carpenter bee is not given, you can multiply the given length by 100 to get the answer.

The second image will be = [tex]10\times10x=100x[/tex]

So, the length of the bee in the second image is 100 times the original.

place the digits 4, 5, 6, 7, and 8 in the boxes below to make the largest and smallest sums possible

Answers

Smallest: 9

Largest: 30

Final answer:

In order to get the largest possible sum using the digits 4, 5, 6, 7, and 8, you should order the digits from largest to smallest (87654). For the smallest possible sum, you should order the digits from smallest to largest (45678).

Explanation:

Here's how you can arrange the digits 4, 5, 6, 7, and 8 to get the largest and smallest possible sums. If you're aiming for the largest sum, you should place the largest digit in the hundreds place, the next largest in the tens place, and so on. That means that you'd arrange the digits as 87654.

For the smallest sum, you should do exactly the opposite, placing the smallest digit in the hundreds place. That would result in 45678. Therefore, the largest possible sum of these digits is 87654 and the smallest possible sum is 45678.


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How many lines of symmetry does the shape below appear to have?

Answers

Answer:

There is no shape

Step-by-step explanation:

There is no shape below.

What is 0.386,0.3,0.683,0.836 from greatest to least

Answers

Answer:0.3, 0.386,0.683,0.836


Step-by-step explanation:

You look left to right in the numbers (0.12,0.12)

0.865 | 0.683 | 0.386 | 0.3

ken grew 4/5 of an inch last year.sang grew 3/8of an inch.who grew more and by how much

Answers

4/5 = .8 inches

3/8 =  .375 inches

So subtract .8-.375 = .425

Ken grew more by .425 inch or 17/40

I really need help I’m only in Fourth grade

Answers

Leave it be, you would leave it empty because there is no number to put.

You would have to leave it be u have it correct like that

What is the value of the expression?

−2^6−(6)^2

Enter your answer in the box.

Answers

-100


hope this helps!!  Good Luck

find the greatest common divisor of 15,015 and 495

Answers

ANSWER

The greatest common divisor of 15,015 and 495 is 165.


EXPLANATION

We use the Euclidean Algorithm to compute the Greatest Common Divisor as follows;

[tex]15015=30\times 495 +165[/tex]


[tex]495=3\times 165 +0[/tex]

The last remainder before zero is the greatest common divisor.


Therefore [tex]gcd(15015,495)=165[/tex]



Answer:

Step-by-step explanation:

165

x over 5 is greater than 7

Answers

x > 35

35/5 = 7

Amswer : x >35

Julian places eight books on each shelf of a bookcase if he shows 32 books how many shelves are needed

Answers

Answer:

4 shelves are needed

Step-by-step explanation:

32 divided by 8 = 4 shelves

Answer

4 shelves

Step-by-step explanation:

If he could place 8 books on x shelves, that would equal 32 books

so

8x=32

x=4

Find the equation of the line in slope-intercept form with slope of 3/5 and (0,-2)

Answers

slope-intercept form: y = mx + b where m = slope and b = y intercept

Given: slope m = 3/5 and y intercept b = -2

So equation

y = 3/5 x - 2

btw i dont think your allowed to leak that according to RSM's policy fyi

Which expression represents "five less than three times x"?

A: 3x-5
B: 3-5x
C: 5x-3
D: 5-3x

Answers

A

three times x = 3 × x = 3x

less 5 means subtract 5 from 3x, hence

3x - 5 → A


Answer:

[tex]3x-5[/tex]

Step-by-step explanation:

"five less than three times x"

The unknown number is x

Three times x means we multiply 3 with x

So the expression becomes 3x

5 less than 3x means we subtract 5 from 3x

To get the expression we use variables and operators like +,- . x or divide

So the final expression becomes

[tex]3x-5[/tex]

A particle moving along the x axis so that it’s position at t is greater than or equal to 0 is given by s(t)=(t)ln(3t). Find the acceleration of the particle when the velocity is first zero.

Answers

We are given

equation of position

[tex]s(t)=(t)ln(3t)[/tex]

Calculation of velocity:

we can find derivative

[tex]s'(t)=1*ln(3t)+t*\frac{3}{3t}[/tex]

[tex]s'(t)=ln(3t)+1[/tex]

so, velocity is

[tex]v(t)=ln(3t)+1[/tex]

now, we can set it to 0

and then we can solve for t

[tex]v(t)=ln(3t)+1=0[/tex]

[tex]t=\frac{1}{3e}[/tex]

Calculation of acceleration:

we can find derivative again

[tex]v'(t)=\frac{3}{3t} +0[/tex]

[tex]v'(t)=\frac{1}{t} [/tex]

so, acceleration is

[tex]a(t)=\frac{1}{t} [/tex]

now, we can plug value of t

[tex]a(\frac{1}{3e})=\frac{1}{\frac{1}{3e}} [/tex]

[tex]a(\frac{1}{3e})=3e [/tex]..................Answer


an investigation is currently worth 1.2 X10^7 dollars twenty years ago the investment was worth 9.6X10^5 dollars how many times greater in the value of the investment today than the value of the investment twenty years ago A. 0.125 B. 12.5 C. 125 D. 12,500

Answers

As given,

Current value = [tex]1.2\times10^{7}[/tex] dollars

Twenty years ago value was = [tex]9.6\times10^{5}[/tex] dollars

suppose x times the investment has increased, so,

[tex]9.6\times10^{5}[/tex]*x=[tex]1.2\times10^{7}[/tex]

x = [tex]\frac{1.2\times10^{7}} {9.6\times10^{5}}[/tex]

this gives x = 12.5 times.

Hence, option B is the correct answer.

Gabby drove 124 miles in 150 minutes. Find Gabby's speed in kilometers per hour. (HELP FOR TEST TMRRW PLZ 15 POINTS!!!)

Answers

First, you need to convert the minutes into hours, to do this you divide the minutes by 60 (the amount of minutes in an hour). Once you've gotten the value (which is 2.5), you divide that by the amount of miles drove, then you get the unit rate, or in other words      the kilometers per hour, which equals 49.6 km/h



convert the following improper fraction to a whole or mixed number 112/7

Answers

16 should be your answer, because 112 divided by 7 equals 16!

When you convert this improper fraction 112/7 to a whole number is just 16.


Pilar and Tom race home from the park. The graph shows how far each person is from home after a given amount of time.

Drag and drop the appropriate symbol to the box to compare the rates of Pilar and Tom.

Answers

Answer:

>  - greater than

(ive done the test)

hope it helps :)

A model airplane flies 18 feet in 2 seconds. What is the airplanes speed in miles per hour?

Answers

Answer:

6.1 miles per hour

Step-by-step explanation:

That is 9 feet per second.

There are 3600 seconds in an hour.

9 x 3600 is 32400

That is 32400 feet in an hour.

32400 feet is about 6.1 miles. (rounded)

The airplanes speed is 6.1 miles per hour.

The speed of the airplane will be 6.13 miles/hour. It is obtained by the unit conversion.

What is speed ?

Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. its si unit is m/sec.

Unit conversion;

1 ft/sec=0.681818 miles/hr

The speed in ft /sec;

v=d/t

v=18 feet/2 second

v=9 ft/sec

1 ft/sec=0.681818 miles/hr

9 ft/sec=9×0.681818 miles/hr

9 ft/sec=6.13  miles/hr

Hence, the speed of the airplane will be 6.13 miles/hour.

To learn more about the speed refer to the link;

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−3r+10=15r−8 solve for R

Answers

Answer,

R = 1

Explanation,

Subtract 10 from both sides,

-3r + 10 - 10 = 15r - 8 - 10

Simplify,

-3r = 15r - 18

Subtract 15r from both sides,

-3r - 10 = 15r - 18 - 15r

Simplify,

-18r = -18

Divide both sides by -18,

-18r/-18 = -18/-18

Simplify,

R = 1

Hope this helps :-)



Final answer:

To solve the equation −3r+10=15r−8 for r, we first move all r terms to one side and constant terms to the other to get -18r = -18. We then divide both sides by -18 to find that r = 1.

Explanation:

The question is asking us to solve the equation −3r+10=15r−8 for the variable r. To do this, we first combine all terms involving r on one side of the equation and constant terms on the other side. Therefore, the equation becomes:

−3r - 15r = -8 - 10

which simplifies to:

-18r = -18.

We then divide both sides of the equation by -18 to solve for r:

r = 1.

Learn more about Algebraic Equations here:

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Change 0.625 to a percent.

Answers

62.5%

to change a fraction to a percent multiply by 100%

0.625 × 100% =62.5%


y= 2x + 6 for x = 0,1,2,3,4

Answers

x=0    y=6

x=1     y=8

x=2    y=10

x=3    y=12

x=4    y=14

50 points
What is the value of X in the triangle below? I need an explain and all work shown.

Answers

The answer is C. Why? well, you should know SOH-CAH-TOA. IN THIS CASE YOU WILL USE SOH. SINE OVER HYPOTENUSE. THEN YOU SUBSTITUTE. SIN 45°= OPPOSITE/HYPOTENUSE. SIN45°=X/13 WHICH GIVES U CHOICE C.

You can use the definition of sin to solve it.

sin(45 deg) = x/13

sin(45 deg) is known to be [tex]\frac{\sqrt{2}}{2}[/tex] so

[tex]x = \frac{13\sqrt{2}}{2}[/tex]

Let me know if you have questions.

a golfers score after playing on Friday was +2. His score saturdays round was -5. At the wnd of his round on Sunday he was at even par, or 0. What integer relresents the change im the golfers score from the end of his round on saturday to end of his round on sunday?

Answers

5. The end of his round on Saturday was a -5, and the end of his round on Sunday was a 0. The difference between -5 and 0 is 5, which means that the integer that represents the change in the golfers score is 5.

Score of golfer after playing on Friday= +2

Score of golfer on Saturday= -5

After Sunday round , Score of golfer =Either an Even Integer or 0.

The Integer which represents,the change  the golfers score from the end of his round on saturday to end of his round on sunday

                = Score of golfer on Sunday -  Score of golfer on Saturday

                  = 0 - (-5)    

                 = +5

or

An Even Integer - (-5)

=An Even Integer + (5)

=An Integer greater than 5

How many inches is in 4 feet

Answers

144 inches in 4 feet

Answer:

48 inches

Step-by-step explanation:

There is 12 inches in a foot


The mean for a set of data is 10. Which of the following is the set of data with a mean of 10?

1. 9, 9, 9, 9, 9
2. 12, 11, 13, 14, 11
3. 8, 12, 10, 13, 7
4. 5, 8, 9, 6, 7

Answers

The third set(8, 12, 10, 13, 7) has a mean of 10.

Answer:

number three 8,12,10,13,7 is it

Step-by-step explanation:

you need to add everything on number 1

like this:

9+9+9+9+9=45

45÷5=9 that is not the mean of ten

please mark the brainiest

Radical expression for the exponential expression above

Answers

The answer is

[tex]\sqrt{x}[/tex]

because,

[tex]a^{x/n} = \sqrt[n]{x}[/tex]

c it is c because it is 1 half over x

WHAT IS THE SUM OF 5(17)² / 10³ =

Answers

289/200

OR

1.445

OR

1  89/200

sales tax on a $400 stereo is $16. What is the tax on a $650 TV?

Answers

The reason being is that we need to find it out of 100. So, we divide 400 by 4 and because we did that to the denominator we have to do it to the numerator so 16 divided by 4 is well 4. So we found out that is 4/100 we just divide that by 650 and we get 26.


TL;DR it’s $26

Tax is the price charged on an object. This shows that the tax on a $650 TV is $26

If the sales tax on a $400 stereo is $16, this can be written as:

$400 = $16

To get the sales tax on $650 TV, we can write;

$650 = x

x is the required tax;

Divide both expressions to have:

[tex]\frac{400}{650} =\frac{16}{x} \\400x = 16 \times 650\\400x = 10400\\x = \frac{10400}{400}\\x= \$26[/tex]

This shows that the tax on a $650 TV is $26

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What would be the result of (-9+6i)(3-2i) ?

Answers

To find the result, you need to multiply the two binomials (the picture shows how to multiply them).

( -9 + 6i )( 3 - 2i )

= -27 + 18i + 18i - [tex]12i^{2}[/tex]

Combine like terms.

= -27 + 36i - [tex]12i^{2}[/tex]

Rearrange your solution into standard form.

= [tex]-12i^{2}[/tex] + 36i - 27


Edit: Actually, don't listen to me. I made a mistake. So sorry! (The first answer is right though).

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