Evaluate 3f(2) what is it

Please help, will mark branliest and 33 points!

LuckyWell [14K]

Answer:

Area = 45 sq ft

Step-by-step explanation:

Scale conversion:

2 inches = 6 feet

5 inches = 15 feet

Area = 1/2 base times height

Area - 1/2 x 6 x 15

Area = 45 ft squared

4 0

2 years ago

Find the exact value of sin 105 degrees

STALIN [3.7K]

Answer:

$\frac{\sqrt{6}+\sqrt{2}}{4}$

Step-by-step explanation:

I'm going to write 105 as a sum of numbers on the unit circle.

If I do that, I must use the sum identity for sine.

$\sin(105)=\sin(60+45)$

$\sin(60)\cos(45)+\sin(45)\cos(60)$

Plug in the values for sin(60),cos(45), sin(45),cos(60)

$\frac{\sqrt{3}}{2}\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}\frac{1}{2}$

$\frac{\sqrt{3}\sqrt{2}+\sqrt{2}}{4}$

$\frac{\sqrt{6}+\sqrt{2}}{4}$

4 0

3 years ago

Read 2 more answers

Below are tabulated a number of Rockwell G hardness values that were measured on a single steel specimen. Compute

Mashcka [7]

Answer:

a) 48.408

b) 1.235

Step-by-step explanation:

a)

The average hardness value xbar can be computed as

xbar=sum of values/number of values

xbar=(46.5+46.9+49.4+50.3+49.8+48.8+47+47.7+48.3+49.4+47.8+49)/12

xbar=580.9/12

xbar=48.408 (rounded to 3 decimal places).

The average hardness value is 48.408.

b)

The standard deviation hardness value s can be computed as

$s=\sqrt{\frac{sum(x-xbar)^2}{n-1} }$

x x-xbar (x-xbar) ²

46.5 -1.90833 3.64174

46.9 -1.50833 2.27507

49.4 0.99167 0.98340

50.3 1.89167 3.57840

49.8 1.39167 1.93674

48.8 0.39167 0.15340

47.0 -1.40833 1.98340

47.7 -0.70833 0.50174

48.3 -0.10833 0.01174

49.4 0.99167 0.98340

47.8 -0.60833 0.37007

49.0 0.59167 0.35007

Total 16.7692

$s=\sqrt{\frac{16.7692}{12-1} }$

$s=\sqrt{\frac{16.7692}{11} }$

$s=\sqrt{1.5245}$

$s=1.2347$

s=1.235 (rounded to 3 decimal places)

The standard deviation hardness value is 1.235.

4 0

3 years ago

3/4x=-18 what is the answer?

Afina-wow [57]

Answer:

X= 24

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3/4*x-(18)=0

Step by step solution :

Step 1 :

3

Simplify —

4

Equation at the end of step 1 :

3

(— • x) - 18 = 0

4

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

18 18 • 4

18 = —— = ——————

1 4

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x - (18 • 4) 3x - 72

————————————— = ———————

4 4

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

3x - 72 = 3 • (x - 24)

Equation at the end of step 3 :

3 • (x - 24)

———————————— = 0

4

Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

3•(x-24)

———————— • 4 = 0 • 4

4

Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

3 • (x-24) = 0

Equations which are never true :

4.2 Solve : 3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.3 Solve : x-24 = 0

Add 24 to both sides of the equation :

x = 24

One solution was found :

x = 24

6 0

3 years ago

Please help veryyy urgent due today!!!!!!

Musya8 [376]

42 is the answer....

4 0

3 years ago