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yanalaym [24]
3 years ago
8

Braylon has a board 18 feet long. He wants to cut it into pieces that are 3 feet long. How many pieces will he have after he mak

es the cuts?
18 ÷ ___ = 3

Choose the missing number in this division problem.

6
7
8
9
Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
7 0
The answer is 6.
Division is the opposite of multiplication and 3x6 is 18
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Completely simplify the expression<br><br> 6x+1x+9x
KIM [24]
The answer is 87 hopes this helps
8 0
2 years ago
Read 2 more answers
True or False: Surface area is the combined area for all of the surfaces of a 3D shape.
Lena [83]

Answer:

A.

Step-by-step explanation:

It's false

8 0
2 years ago
Hear is a diagram showing a mixture of red paint and green paint needed for 1 batch of a particular shade of brown
Lelechka [254]

From the diagram above

mixtures of 3 cups of red paints and 2 cups of green paints for 1 batch

this means for every one batch of brown paint

you have 3 cups of red paints and 2 cups of green paints

for three batches

3 red cups + 3 red cups + 3 red cups = 9 reds cup

2 green cups + 2 green cups + 2 green cups = 6 greens cup

to produce three batches you will need the mixture of 9 red cups of paints and 6 green cups of paint

adding to the diagram you will have 6 more red cups and 4 more green cups

4 0
1 year ago
A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then st
shutvik [7]

Answer:

Equation of movement y(t)

y(t)=sin(10t-\pi/2)

Amplitude: 1 inch

Period: 0.628 seconds

Step-by-step explanation:

If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

A=1\,inch

The period depends on the mass and the spring constant.

The formula for the period is:

T=\frac{1}{f} =\frac{2/pi}{\omega} =2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{1}{100}}=2\pi*0.1=0.628\, s

The model y(t) for the movement of the mass-spring system is

y(t)=A\cdot sin(\omega t +\phi)\\\\A=1\\\\\omega=\sqrt{k/m} =\sqrt{100/1}=10\\\\y(0)=Asin(\phi)=-A\\\\ \phi=arcsin(-1)=-1.571=-\pi/2\\\\\\y(t)=sin(10t-\pi/2)

8 0
3 years ago
A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6
Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

           Length of street light AB = 25 ft

           Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate (\frac{dw}{dt}) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

Therefore, \frac{dx}{dt}=6 feet per sec. [Given]

In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

\frac{x}{21}=\frac{x+y}{25}

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = \frac{4x}{21}

Now we take the derivative on both the sides,

\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}

= \frac{4}{21}\times 6

= \frac{8}{7}

≈ 1.14 ft per sec.

Since w = x + y

Therefore, \frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}

\frac{dw}{dt}=6+1.14

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

3 0
3 years ago
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