8 + 4f = 3f solve for f

Answer:

Approximately 0.6009

The value of tan 31 is 0.6008606.

The branch of mathematics concerned with specific functions of angles and their application to calculations.

As, the angle 31° lies between 0° and 90° (First quad).

So, tangent function is positive in the first quadrant.

Tan 31 degrees= tan (0.54105 . . .) in radians.

As, using degree to radian conversion,

θ(radians) = θ in degrees × (π/180°)

31 degrees = 31° × (π/180°) rad

= 0.5410

So, tan 31°

= tan(0.5410)

= 0.6008606.

Hence, tan 31= 0.6008606.

Learn more about trigonometry here:

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Answer:

The blanks are 8 and 16

Step-by-step explanation:

Distribute the 8:

8(n + 2) = 8*n + 8*2 = 8n + 16

Answer: 70 % of students did their homework last week.

Step-by-step explanation:

Given :

Total students = 300

Students who did their homework  = 210

Percentage of students who did their homework = [tex]\frac{\text {Students who did their homework}}{\text {Total students}}\times 100\%[/tex]

Putting the values we get:

Percentage of students who did their homework = [tex]\frac{210}{300}\times 100\%=70\%[/tex]

Thus 70 % of students did their homework last week.

Answer:

In this system of equations, x is equal to one, and y is equal to three.

Step-by-step explanation:

We can solve this by rearranging either equation to define either x or y, and plugging that into the other.  As it happens, the first equation is conveniently arranged to define x, so let's use that:

3y + x = 10

3y + (2y - 5) = 10

5y - 5 = 10

y - 1 = 2

y = 3

Now that we know the value of y, we can plug it in to either of the original equations to find x:

x = 2y - 5

x = 2(3) - 5

x = 6 - 5

x = 1

Now we can check that our answer is correct by plugging that x value into either of the original equations:

3y + x = 10

3y + 1 = 10

3y = 9

y = 3

And because that gives us our original y value, we know that our answer is correct.

Answer:

5.04

Step-by-step explanation:

1 can equals to 336 grams

so 15 cans will equal to 336 X 15

which is 5040grams

now covert it into kg by dividing it by 1000

which 5.04

Answer:

B. Yes, by the AA Similarity Postulate

Step-by-step explanation:

This triangles are both similar based on the AA Similarity Postulate. We know that all angles are equal because...

m∠ABE = m∠CBD = 42° (because they are veridical/opposite angels)

m∠AEB = 180° - m∠ABE - m∠EAB = 180° - 42° - 53° = 85°

Then from here we know that

m∠BDC = 180° - 85° - m∠CBD

m∠BDC = 95° - 42°

m∠BDC = 53°

From here we see that they are similar because of the AA Similarity Postulate, since

m∠ABE = m∠CBD = 42°

m∠BDC = m∠EAB = 53°

m∠AEB = m∠BCD = 85°

Answer:

$6

Step-by-step explanation:

6 x 4 = 24

Answer:

1?

Step-by-step explanation:

ya is it 1??Step-by-step explanation:

Answer:

64

Step-by-step explanation:

he's 64 inches tall

- multiply 12 by 5, which is 60

- then add four, 60 + 4 = 64

Answer:

D is the answer.

[tex]16x {}^{2} - 81 = 0 \\ (4x - 9) \times (4x + 9) = 0 \\ [/tex]

[tex]4x - 9 = 0 \\ 4x = 9 \\ x = \frac{9}{4} \\ or \\ 4x + 9 = 0 \\ 4x = - 9 \\ x = - \frac{9}{4} [/tex]

Answer:

9.8

Step-by-step explanation

basically its just x/sin55=12/sin90 bc you plug into equation a/sina= b/sinb so then you x/sin55=12

                      sin55*12=x x=9.8

Answer:

Step-by-step explanation:

Answer:

7%=50

34950 7% decrease

35050 7% increase

Step-by-step explanation:

if 35000 is before the 7% decrease then it would be 34950

if after 35050

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

[tex] \frac{5}{100} \times 100[/tex]

Answer:

95π

Step-by-step explanation:

area of a circle=πr²

radius of the big circle = 24/2=12

area of big circle = π(12)² = 144π

are of small circle = π(7)² = 49π

shaded area = area of big circle - area of small circle

= 144π-49π

= 95π

Answer:

I think it is b or d I'm not sure though

Answer: Friday

Step-by-step explanation:

If February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday.

First and foremost, we should realise that February has 28 days but in leap years which takes place every 4 years, it has 29 days.

We should realise that the dates in the calendar are arranged in such a way that if a particular date falls on a particular day this year, the date will fall on the next day next year. e.g. since January 20 falls on. Wednesday this year, it will fall on a Thursday next year.

Since February 29 is a date for a leap year, following the above explanation, if February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday which is in the next four years.

Answer:

Step-by-step explanation:y=3x4y5815

Answer:

4

Step-by-step explanation:

We can actually make the two equal each other like so:

3d-4=12d/6

Multiply both sides by 6:

18d-24=12d

Add 24 to both sides:

18d=12d+24

Subtract 12d from both sides:

6d=24

Divide by 6:

d=4

4

Step-by-step explanation:

dy/dx

= d/dx [x / (1 - x²)]

= [(1 - x²)(1) - (x)(-2x)] / (1 - x²)²

= (1 + x²) / (1 - x²)².

When dy/dx = 1, (1 + x²) / (1 - x²)² = 1.

=> 1 + x² = 1 - x²

=> 2x² = 0, x = 0.

Also when x = 0, y = (0) / [1 - (0)²] = 0.

Hence the coodinates is (0, 0).

Answer:

[tex]17.3\:\mathrm{m^2}[/tex]

Step-by-step explanation:

Solution 1:

As the angles are marked, the figure forms a 30-60-90 right triangle with the height. Therefore the height will be  [tex]\frac{4}{2}\cdot\sqrt{3}=2\sqrt{3}[/tex]. The area of this figure can be given as [tex]b\cdot h[/tex], therefore our answer is [tex]5\cdot 2\sqrt{3}\approx \fbox{$17.3$}[/tex].

Solution 2:

The figure forms two triangles when cut by the shortest diagonal. The area of a triangle can be given by [tex]\frac{1}{2}ab\sin C[/tex]. Since there are 2 of these triangles, the area of the entire figure is [tex]2\cdot\frac{1}{2}\cdot4\cdot 5\cdot \sin 60^{\circ}\approx \fbox{$17.3$}[/tex].

Answer:

angle AXG will be 40°

because AXG is vertically opposite to FXD

so they both will be equal

Answer:

The answer is D.

Step-by-step explanation:

The car travels 16 miles in 1 hour, then stops for 3 hours, and finally travels 1 hour again for 32 miles.

its equal to because if you do +50-50 and keep going it will always go back to 0. Hope this helps! :D

Answer:

C or Equal To

Step-by-step explanation:

The input was 0 at first

50 - 50 is 0

Hope this Helps

▼・ᴥ・▼

The second account (compound interest) is worth more than the first account (simple interest) is $105.4.

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

Luke invested $2400 in two accounts.

The first account pays 3% simple interest.

The second account pays 3% compound interest with interest compounded annually(at the end of each year) After 10 years.

The interest from the first account will be

[tex]\rm Simple \ Interest = \dfrac{2400*3*10}{100} = \$720[/tex]

The interest from the second account will be

[tex]\rm Compound \ interest = 2400(1.03)^{10} - 2400\\\\Compound \ interest = \$825.4[/tex]

Then the second account be worth more than the first account will be

→ $825.4 – $720 = $105.4

More about the compound interest link is given below.

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Answer: X= 2.4cm

Step-by-step explanation:

Take half the triangles base which is 2.5 CM

draw a line up through the middle, and get half the area which would be 6cm^2

now divide 6cm by 2.5 and get 2.4 Cm

So x=2.4 CM

The Perimeter of the isosceles triangle is 15.8 cm

Let h represent the height of the triangle. Using Pythagoras theorem:

x² = h² + 2.5²

h² = x² - 6.25

h = √(x² - 6.25)

The area of the triangle is 12 cm², hence:

12 = (1/2) * 5 * √(x² - 6.25)

√(x² - 6.25) = 4.8

x = 5.41 cm

Perimeter of triangle = 5 cm + 5.41 cm + 5.41 cm = 15.8 cm

The Perimeter of the isosceles triangle is 15.8 cm

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