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3 years ago

Given parallelogram PARK.

Mathematics

2 answers:

Tanya [424]3 years ago

5 0

Answer:

Step-by-step explanation:

Ymorist [56]3 years ago

5 0

The answer is gonna be A:

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What is the greatest number of cubes with a side of 1.5cm that can fit in the box with dimensions 16cm ×5cm ×12cm? Please help m

Vitek1552 [10]

Answer: 284 cubes.

Step-by-step explanation:

By definition, the volume of a rectangular prism can be calculated by multiplying its dimensions.

Knowing that the dimensions of this box are $16cm*5cm*12cm$ , we get that the volume of the box is:

$V_{box}=16cm *5cm *12cm=960cm^3$

The formula for calculate the volume of a cube is:

$V=s^3$

Where "s" is the lenght of a side.

Kwnowing that the a cube has a side of 1.5 cm, we get that the volume of one cube is:

$V_{cube}=(0.5cm)^3=3.375cm^3$

Dividing $V_{box}$ by $V_{cube}$ we get the greatest number of cubes that can fit in the box:

$number\ of\ cubes=\frac{960cm^3}{3.375cm^3}=284$

6 0

3 years ago

Find the value of cos J rounded to the nearest hundredth, if necessary.

WARRIOR [948]

$\green{\huge{\red{\boxed{\green{\mathfrak{QUESTION}}}}}}$

Find the value of cos J rounded to the nearest hundredth

$\bold{ \red{\star{\blue{GIVEN }}}}$

HYPOTHESES= 13

PERPENDICULAR= 12

BASE = ?

$\bold{\blue{\star{\red{TO \: \: FIND}}}}$

$\cos(j) = ?$

$\bold{ \green{ \star{ \orange{FORMULA \: USED}}}}$

PYTHAGORAS THEROM
$\cos(j) = \frac{ BASE}{HYPOTENUSE}$

$\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}$

${h}^{2} = {p}^{2} + {b}^{2}$

${13}^{2} = {12}^{2} + {x}^{2} \\ 169 - 144 = {x}^{2} \\ 25 = {x}^{2} \\ \sqrt{25} = x \\ 5 = x = base$

$\cos(j) = \frac{ BASE}{HYPOTENUSE}$

$\cos(j) = \frac{5}{13} \\ \cos(j) = 0.34$

3 0

3 years ago

Read 2 more answers

A projectile is fired at time t = 0.0 s, from point 0 at the edge of a cliff, with initial velocity components of V ax= 50m/s an

Kruka [31]

The projectile has constant horizontal speed all the time and we can use this formula

x=Vax*t, where t is time it (projectile) takes to reach x=1000m

t=x/Vax=1000/50=20s

As we know we can split projectile trajectory in two parts and the time for each part is equal. We can conclude that time t=20s belong to first part where projectile is going up.

Formula for this type of movement is y=Vay-(gt∧2)/2

If we take acceleration of gravity g=10m/s∧2

we get y=200*20-(10*20∧2)/2=4000-2000=2000m

But if I calculate time it takes the highest point I get

t=Vay/g=200/10=20s

The highest point for that time is

y= H=Vay∧2/2g=200∧2/2*10=40000/20=2000m

This happened because the projecile is fired from the edge of a cliff which is above the sea line.

Good luck!!!

5 0

3 years ago

Simplify the following expression:<br><br> (2x^3 y)^4 / 3x^2 (4x^5 y^2)

Paraphin [41]

I believe that 64x^19y^6 over 3 is the correct answer

5 0

4 years ago

Plzz any help please

butalik [34]

Answer:

Step-by-step explanation:

If the sine of an angle is equal to the cosine of an angle, that means that the sides adjacent and opposite to that angle are equal. One triangle that has two equal sides is an isosceles triangle. We can set this triangle to be a 45-45-90 degree triangle, which means that the angle would be 45.

Now, we have to find the value of

$4\tan^2(45)$