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3 years ago

Which expression is equivalent to 2x+2x+2y+2y

Mathematics

1 answer:

liq [111]3 years ago

3 0

4x plus 4y seems to be equal to that situation right there

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What is the volume of the solid shown above

tankabanditka [31]

539 cm^3

volume of the smaller cube is: 3•3•3 which equals 27.

volume of the bigger cube is: 8•8•8 which equals 512.

add those together and you get 539 cm^3

3 0

4 years ago

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grin007 [14]

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3 years ago

Determining angle side relationships What are the angle measures in trainable ABC?

9966 [12]

Answer:

m∠A=90°, m∠B=60°, m∠C=30°

Step-by-step explanation:

step 1

Verify if the triangle ABC is a right triangle

Applying the Pythagoras theorem

$12^{2}=6^{2}+(6\sqrt{3})^{2}$

$144=144$ ----> is true

therefore

Is a right triangle

m∠A=90°

Find the measure of angle C

sin(C)=AB/BC

substitute

sin(C)=6/12=1/2

m∠C=30°

Find the measure of angle B

we know that

m∠C+m∠B=90°------> by complementary angles

m∠B=90°-30°=60°

5 0

3 years ago

At what rate is a car traveling, if it goes 157.5 miles in 2.5 hours?

Finger [1]

divide total miles by time:

157.5 / 2.5 = 63 miles per hour

4 0

3 years ago

A projectile is fired into the air with an initial vertical velocity of 160 ft/sec from ground level. How many seconds later doe

djverab [1.8K]

The maximum height of the projectile is the maximum point that can be gotten from the projectile equation

The projectile reaches the maximum height after 5 seconds

The function is given as:

$\mathbf{h(t) = -16t^2 + 160t}$

Differentiate the function with respect to t

$\mathbf{h'(t) = -32t + 160}$

Set to 0

$\mathbf{h'(t) = -32t + 160 = 0}$

So, we have:

$\mathbf{-32t + 160 = 0}$

Collect like terms

$\mathbf{-32t =- 160 + 0}$

$\mathbf{-32t =- 160}$

Solve for t

$\mathbf{t = \frac{- 160}{-32}}$

$\mathbf{t = 5}$

Hence, the projectile reaches the maximum after 5 seconds