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3 years ago

What is the integral of ∫4x^2 dx

Mathematics

2 answers:

dedylja [7]3 years ago

7 0

the aswers is 4/3 x³ + c

okey fine

Nataly_w [17]3 years ago

5 0

Answer:

$\boxed{\frac{4}{3} x^3 + c}$

Step-by-step explanation:

$\int\limits {4x^2} \ dx$

$= \frac{4}{3} x^3 + c$

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What is the height of the tree to the nearest tenth of a foot?

Ugo [173]

Answer:

The height of the tree is approximately 21.4 feet

Step-by-step explanation:

We list out the question parameters first as follows;

The distance from the base of the tree where the angle of elevation is measured, d = 10 feet

The angle of elevation to the top of the tree from 10 feet from the base, θ = 65°

Let 'h' represent the height of the tree, then we have;

The line formed by the angle 65° angle, the height of the tree, 'h', and the distance 'd', form a right triangle with 'h' being the opposite leg to the given reference angle, 65°, and 'd' being the adjacent leg

By trigonometric ratio, we have;

$tan(\theta) = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length} = \dfrac{h}{d}$

∴ h = d × tan(θ)

Plugging in the given values, we get;

h = 10 feet × tan(65°) = 21 feet $5\frac{11}{32}$ inches

∴ By rounding to the nearest tenth of a foot, the height of the tree, h ≈ 21.4 feet.

3 0

3 years ago

Solve ABC <br>c=10, B=35°, C=65%

NISA [10]

Answer:

Part 1) The measure of angle A is $A=80\°$

Part 2) The length side of a is equal to $a=10.9\ units$

Part 3) The length side of b is equal to $b=6.3\ units$

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

$A+B+C=180\°$

substitute the given values

$A+35\°+65\°=180\°$

$A+100\°=180\°$

$A=180\°-100\°=80\°$

step 2

Find the length of side a

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{a}{sin(80\°)}=\frac{10}{sin(65\°)}$

$a=\frac{10}{sin(65\°)}(sin(80\°))$

$a=10.9\ units$

step 3

Find the length of side b

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{b}{sin(35\°)}=\frac{10}{sin(65\°)}$

$b=\frac{10}{sin(65\°)}(sin(35\°))$

$b=6.3\ units$

5 0

3 years ago

Sam and Bethan share £54 in the ratio 5:4 Work out how much each person gets

Kitty [74]

They each share 27 dollars

4 0

3 years ago

Read the problem and decide whether it has too much or too little

Arte-miy333 [17]

Answer:

A. too much

Step-by-step explanation:

If we are only looking for how much water she drinks, we do not need to know the amount of hay or the amount of fruit

4 0

3 years ago

Point R divides in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of

grandymaker [24]

D -9 because it has a -3 and its going to be the same - sign

7 0

3 years ago

Read 2 more answers