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3 years ago

6th grade math easy! (:

Mathematics

2 answers:

vichka [17]3 years ago

6 0

<h3>Answer: A) 20+10h</h3>

Work Shown:

It grows 2h inches for 4 weeks, so 2h*4 = 2*4h = 8h is the amount it grows for those 4 weeks.

Then it grows h inches per week, for 2 more weeks, giving h+h = 2h additional inches.

Overall, 8h+2h = 10h is the amount the plant grows.

It starts off at 20 inches so its final height is 20+10h

tigry1 [53]3 years ago

6 0

Answer: A) 20+10h

Work Shown:

It grows 2h inches for 4 weeks, so 2h*4 = 2*4h = 8h is the amount it grows for those 4 weeks.

Then it grows h inches per week, for 2 more weeks, giving h+h = 2h additional inches.

Overall, 8h+2h = 10h is the amount the plant grows.

It starts off at 20 inches so its final height is 20+10h

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The difference between rational and irrational

makvit [3.9K]

Answer:

Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

Step-by-step explanation:

smartness bc i love math

3 0

3 years ago

Read 2 more answers

Two teams of movers are lowering a piano from the window of a 10 floor apartment building. The rope breaks when the piano is 30

GuDViN [60]

By solving the motion equations for the piano, we will see that they have 0.7 seconds to react.

<h3>How to find the motion equation for the piano.</h3>

So the piano is in a free fall from a height of 30m.

The motion equations will be given by:

The only force acting on the piano will be the gravitational one, thus the acceleration of the piano is the gravitational acceleration: a(t) = -9.8m/s^2 (Where the negative sign is because it is falling down).
To get the velocity we integrate over time, because the piano has no initial velocity, the constant of integration is zero: v(t) = (-9.8m/s^2)*t
To get the position equation we integrate again, here the initial position is 30 meters above the ground, so that will be our constant of integration: p(t) = (1/2)*(-9.8m/s^2)*t^2 + 30m

<h3>How long takes to fall?</h3>

We want to find the value of t such that the position is equal to zero, so we need to solve:

0 = (1/2)*(-9.8m/s^2)*t^2 + 30m

30m = (1/2)*(9.8m/s^2)*t^2

2*30m/(9.8m/s^2) = t^2

6.1 s^2 = t^2

√(6.1 s^2) = 2.5s = t

This means that the piano falls to the ground in 2.5 seconds.

But the workes notice it when the piano is 14 meters above the ground, it happens when:

p(t) = 14m = (1/2)*(-9.8m/s^2)*t^2 + 30m

Solving that we get:

30m - 14m = (1/2)*(9.8m/s^2)*t^2

2*16m/(9.8m/s^2) = t^2

3.27s^2 = t^2

√(3.27s^2) = t = 1.8s

So the piano falls in 2.5 seconds, and the works notice it 1.8 seconds after it starts falling, meaning that they have:

2.5 - 1.8 = 0.7 seconds to react.

If you want to learn more about motion equations, you can read:

brainly.com/question/2473092

4 0

2 years ago

Marshall deposited $3,300 in a savings account with simple interest. Six months later, the account held $3,415.50. What was the

Naya [18.7K]

the simple interest is granted by the end of the year probably.If in 1/2 a year he gathered $115.50 then

115.50=3.300×r/2

r=231/3300

r=7%

4 0

3 years ago

Look at Jerry's monthly budget below. What percentage of Jerry's net income is spent on food?

Mila [183]

450/2,970*100
450*10/297=15.2

7 0

3 years ago

Read 2 more answers

Use the Law of Cosines to find angle round to the nearest tenth if necessary).

ad-work [718]

Answer:

Step-by-step explanation:

3a)

find side HP , let's set side HP = c in the law of cosines formula

then

c = sq rt [ 23^2 + 12^2 - 2*12*23*cos(117) ]

c = sq rt [ 529 + 144 - (-250.6027559) ]

c = sq rt [ 673 + 250.6027559 ]

c = sq rt [ 923.602755 ]

c = 30.39

then

HP = 30.4 ( rounded to nearest 10th )

3b)

let PR = c, then law of cosines is (we need angle Q also 180=24+97+Q is 59°

c = sq rt [ 9^2 + 22^2 - 2*9*22*cos(59) ]

c = sq rt [ 81 + 484 -396*0.5150380 ]

c = sq rt [ 565 - 203.955 ]

c = sq rt [ 391.04495]

c = 19.7748

PR = 19.8 ( rounded to nearest 10th )

3c)

they want us to find ∠B, in the formula for cosines ∠B is really ∠C, it's a bit confusing.. I'm sure they did that on purpose to mess people up. Kind of underhanded :/ Tell the teacher that you're "appalled" at the deviousness of the test :/ stage a protest against math that teaches treachery :P storm the principals/ dean's office with paper airplanes and pictures of anime :DDD okay back to math.

a=28

b=17

c=15

since we want angle B then the formula looks like

B= arcCos ( a^2 + c^2 - b^2 / 2*a*c) so we'll avoid messing up the which side is which ... by setting up the formula this way .. got it?

B = arcCos [28^2 + 15^2 - 17^2 / 2*28*15]

B = arcCos[784 + 225 - 289 /840 ]

B = arcCos[720/ 840]

B = arcCos[0.85714285]

B = 31.0027 °

that it came out so close to an integer I'm pretty sure it's right

∠B = 31 .0 ° ( rounded to the nearest 10th )

3d)

find ∠A

set it up carefully again, they are asking us to move the variable around again

a = 18

b= 28

c= 12

then the formula looks like

∠A = arcCos[ b^2 + c^23 - a^2 / 2*b*c ]

∠A = arcCos[28^2 + 12^2 - 18^2 /2*28*12 ]

∠A = arcCos[784 + 144 -324 / 672 ]

∠A = arcCos[604/672]

∠A = arcCos[0.8988095]

∠A =25.99797 °

∠A =26.0 ° ( rounded to nearest 10th)

7 0

3 years ago