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Savatey [412]
2 years ago
9

There are 4 identical wooden blocks that are 20 inches long, 2 inches wide, and 1 inch thick. If you glue them together, what is

the difference of the largest and smallest outer surface area you can get?
Mathematics
1 answer:
baherus [9]2 years ago
8 0
You get up to 5 your welcome i know its true
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A man hits a baseball when it is 4 ft above the ground with an initial velocity of 120 ft/sec. The ball leaves the bat at a 30 d
Sauron [17]
<span>et us assume that the origin is the floor right below the 30 ft. fence

To work this one out, we'll start with acceleration and integrate our way up to position.

At the time that the player hits the ball, the only force in action is gravity where: a = g (vector)
ax = 0
ay = -g (let's assume that g = 32.8 ft/s^2. If you use a different value for gravity, change the numbers.

To get the velocity of the ball, we integrate the acceleration
vx = v0x = v0cos30 = 103.92
vy = -gt + v0y = -32.8t + v0sin40 = -32.8t + 60

To get the positioning, we integrate the speed.
x = v0cos30t + x0 = 103.92t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + 60t + 4

If the ball clears the fence, it means x = 0, y > 30

x = 0 -> 103.92 t - 350 = 0 -> t = 3.36 seconds

for t = 3.36s,
y = -16.4(3.36)^2 + 60*(3.36) + 4
= 20.45 ft

which is less than 30ft, so it means that the ball will NOT clear the fence.


Just for fun, let's check what the speed should have been :)

x = v0cos30t + x0 = v0cos30t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + v0sin30t + 4

x = 0 -> v0t = 350/cos30
y = 30 ->
-16.4t^2 + v0t(sin30) + 4 = 30
-16.4t^2 + 350sin30/cos30 = 26
t^2 = (26 - 350tan30)/-16.4
t = 3.2s

v0t = 350/cos30 -> v0 = 350/tcos30 = 123.34 ft/s

So he needed to hit the ball at at least 123.34 ft/s to clear the fence.

You're welcome, Thanks please :)
</span>
6 0
3 years ago
The world population is projected to be 6.7 billion in 2040. At that​ time, there are expected to be approximately 2 billion mor
Charra [1.4K]
\bf \begin{cases}&#10;s=\textit{Asia's population}\\&#10;a=\textit{Africa's population}\\&#10;r=\textit{rest of the world}\\&#10;----------\\&#10;\boxed{s}=a+2\\&#10;\boxed{r}=\frac{s}{2}+0.2&#10;\end{cases}\implies &#10;\begin{array}{llll}&#10;s+a+r=6.7\\\\&#10;\boxed{a+2}+a+\boxed{\cfrac{s}{2}+0.2}=6.7\\\\&#10;a+2+a+\cfrac{\boxed{a+2}}{2}+0.2=6.7&#10;\end{array}

solve for "a", to see what Africa's population will then be
5 0
3 years ago
Suppose 2 /7 of students in your school wore shorts today. How many students would you have to select randomly, on average, in o
Sveta_85 [38]

Answer: 49 students

Step-by-step explanation:

2 /7 of students in a school wore shorts today. The number of students to be selected in order to get 14 students who will wear shorts to school will be:

Let the number of students that will be sampled be y. This will be:

2/7 of y = 14

2/7 × y = 14

2y/7 = 14

Cross Multiply

2y = 7 × 14

2y = 98

y = 98/2

y = 49

49 students will be selected randomly.

8 0
3 years ago
Jerry is mowing his lawn .it takes him 1/6 of an hour to mow 3/20 of his years .what portion of the yard does jerry now per hour
Ber [7]

Given that Jerry mows 3/20 yards of lawn in 1/6 hour.

Now we have to found how much Jerry can mow per hour.

We know that "work" and "time" are in direct proportion so we can setup the ratio of work and time to easily find the required work.

\frac{Portion \; \; of  \; \; lawn  \; \; mowed}{time}=\frac{\frac{3}{20}}{\frac{1}{6}}

\frac{Portion \; \; of  \; \; lawn  \; \; mowed}{1}=\frac{\frac{3}{20}}{\frac{1}{6}}

Portion \; \; of  \; \; lawn  \; \; mowed=\frac{3}{20}*\frac{6}{1}

Portion \; \; of  \; \; lawn  \; \; mowed=\frac{18}{20}

Portion \; \; of  \; \; lawn  \; \; mowed=\frac{9}{10}

Hence final answer is \frac{9}{10} yards.

4 0
3 years ago
Read 2 more answers
The Johnson family pays 1,783 per month for rent. If the cost of their rent remains the same, how much will they pay for rent ov
irinina [24]

Answer:

1 year= 12 months

1 months rent=1783

1783x12=21396

15 years = 180 months

the equation would be

1783x180=320940

or

21396x15= 320940

6 0
2 years ago
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