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xenn [34]
2 years ago
14

Factorize the following 4x+16y+24z

Mathematics
1 answer:
FrozenT [24]2 years ago
6 0
  • 4x + 16y + 24z
  • = 4(x + 4y + 6z)

<u>Answer</u><u>:</u>

<u>4</u><u>(</u><u>x </u><u>+</u><u> </u><u>4</u><u>y</u><u> </u><u>+</u><u> </u><u>6</u><u>z</u><u>)</u>

Hope you could understand.

If you have any query, feel free to ask

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Suppose a projectile is fired from a cannon with velocity v0 and angle of elevation θ. The horizontal distance Rθ it travels (in
jolli1 [7]

Answer:

0.25 rad to the nearest hundredth radian

Step-by-step explanation:

Here is the complete question

Suppose a projectile is fired from a cannon with velocity vo and angle of elevation (theta). The horizontal distance R(θ) it travels (in feet) is given by the following.  

R(θ) = v₀²sin2θ/32

If vo=80ft/s what angel (theta) (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?

Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian.

(θ)= ?rad

Solution

R(θ) = v₀²sin2θ/32

If v₀ = 80 ft/s and R(θ) = 95 ft

θ = [sin⁻¹(32R(θ)/v₀²)]/2

= [sin⁻¹(32 × 95/80²)]/2

=  [sin⁻¹(3040/6400)]/2

=  [sin⁻¹(0.475)]/2

= 28.36°/2

= 14.18°

Converting 14.18° to radians, we have 14.18° × π/180° = 0.2475 rad

= 0.25 rad to the nearest hundredth radian

3 0
2 years ago
Can someone please explain how I apply SOHCAHTOA properly to this?
liq [111]

Answer:

e

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the domain of the function f(x)=<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E3-16x%7D" id="TexFormula1" title="\sqrt{x^3
Anon25 [30]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

f\left(x\right)=\sqrt{x^3-16x}

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

  • Domain refers to all the possible sets of input values on the x-axis.

Now, determine non-negative values for radicals so that we can sort out the domain values for which the function can be defined.

x^3-16x\ge 0

as x³ - 16x ≥ 0

\left(x+4\right)\left(x-4\right)\ge \:0

Thus, identifying the intervals:

-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4

Thus,

The domain of the function f(x) is:

x\left(x+4\right)\left(x-4\right)\ge \:0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\:\\ \:\mathrm{Interval\:Notation:}&\:\left[-4,\:0\right]\cup \:[4,\:\infty \:)\end{bmatrix}

And the Least Value of the domain is -4.

3 0
2 years ago
Los cuadrilateros paralelismo ​
kkurt [141]

Answer:

¿Qué quieres que te responda?

Step-by-step explanation:

El paralelismo cuadrilátero es cuando las líneas paralelas se mantienen separadas a la misma distancia y nunca se cruzan (cruzan). Las líneas verdes marcan los lados de igual (la misma) longitud y las flechas azules marcan los lados que son líneas paralelas. Los cuadriláteros con líneas perpendiculares tienen lados que se encuentran en un ángulo recto (90 °).

3 0
3 years ago
Read 2 more answers
chelsea takes the bus to school,but she walks home. the bus travels to the school at an average speed of 45 miles per hour. whil
jekas [21]
For this case, the first thing you should know is:
 d: v * t
 Where,
 d: distance
 v: speed
 t: time
 To go to school by bus we have:
 d = 45 * t
 To return from school we have:
 d = 2.5 * (1-t)
 how the distance is the same:45 * t = 2.5 * (1-t)
 Answer:
 the equation that will help find the time it takes chelsea to get to school on the bus is:
 45 * t = 2.5 * (1-t)
 Note: the equation will have one solution. 
4 0
3 years ago
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