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3 years ago

Plot a rectangle with vertices (–1, –4), (–1, 6), (3, 6), and (3, –4).

Mathematics

2 answers:

11111nata11111 [884]3 years ago

5 0

Answer: 4 units.

Step-by-step explanation:

Once each point is plotted, you get the rectangle attached.

You can observe in the figure that the base of the rectangle is its longer side.

Since the length of the base of the rectangle goes from $x=-1$ to $x=3$ , you can say that the lenght of the base is the difference between 3 and -1.

So, you need to subtract this two coordinates, getting that the lenght of the base of the rectangle attached is:

$lenght_{(base)}=3-(-1)\\\\lenght_{(base)}=3+1\\\\lenght_{(base)}=4\ units$

aliina [53]3 years ago

4 0

Answer: 4 units

Step-by-step explanation:

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Firdavs [7]

Answer:

No, this result is not surprising. It is a little bit more than one standard deviation above 20%

Step-by-step explanation:

Proportion of each color in the population (p) = 0.20

Sample size (n) = 20 Skittles

The standard deviation of a sampling distribution is determined by:

$\sigma = \sqrt{\frac{p*(1-p)}{n}}\\\sigma = \sqrt{\frac{0.20*(1-0.20)}{20}}\\ \sigma =0.089$

The difference between the observed proportion of 0.30, and the mean proportion of 0.20 is 0.10, which is just a little bit more than one standard deviation of 0.089. Therefore, this result is not surprising since it is a little bit more than one standard deviation above 20%.

4 0

2 years ago

When the sun's angle of elevation is 76°, a tree casts an 18-foot shadow on the ground. Find the length of the tree to the neare

Yanka [14]

Answer:

56.5 ft

Step-by-step explanation:

See the attached figure which represents the explanation of the problem.

We need to find the length of the tree to which is the length of AD

From the graph ∠BAC = 90° and ∠ABD = 76°, AB = 18 ft

At ΔABD:

∠BAD = ∠BAC - ∠DAC = 90° - 4° = 86°

∠ADB = 180° - ( ∠BAD + ∠ABD) = 180 - (86+76) = 180 - 162 = 18°

Apply the sine rule at ΔABD

∴ $\frac{AB}{SinD} =\frac{AD}{sinB}$

∴ 18/sin 18 = AD/sin 76

∴ AD = 18 * (sin 76)/(sin 18) ≈ 56.5 (to the nearest tenth of a foot)

So, The length of the tree = 56.5 ft.

The answer is 56.5 ft

3 0

2 years ago

A bottle contains 2 liters of water. The bottle leaks 80 milliliters of water every 3 minutes. Will the bottle be empty in an ho

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

2 liters = 2,000

80/3 = 26.6

the bottle leaks 26.6 milliliters in a min

26.6*60 = 1596

1596 / 1000 = 1.596 (to convert to liters)

the bottle will leak 1.596 an hour

hope this helps!

5 0

2 years ago

PPLSSSS4. You need to heat 7.59 g of water from 5.2 ºC to 368 K. How much heat is

Alja [10]

Answer:

Honestly im not sure

Step-by-step explanation:

5.2°C = (273 + 5.2)k = 278.2k

Change in temperature = 368k -278.2= 89.8k

q (heat energy) = MCp∆T

When Cp of water =1046J

q = 7.59 g × 1046J × 89.8k

= 712, 934.772Jgk-1 = 713kJgk

When Cp of water =250cal

q = 7.59 g × 250 × 89.8k = 170kCalk

7 0

3 years ago

In one baseball season Peter hit twice the difference of the number of home runs Alice hit and 6. altogether,they hit 18 home ru

Viktor [21]

In a baseball season:
Peter hit = 2 (x - 6)
Total = 19 hits

X= Alex’s hit
Y = Peter’s Hit

=> Y = 2(x - 6)
=> x + y = 18
Let’s start from the second given equation:
=> x + y =18
=> y = 18 – x
Now, let’s use the first given equation to solve:
=> 18 – x = 2 (x - 6)
=> 18 – x = 2x – 12
=> -3x = -30
x = 10

Now, Let’s try:
=> Y = 2(x - 6)
=> y = 2 (10 - 6)
=> y = 2 (4)
=> y = 8

Thus, Peter hit 8 and Alice hit 10.

4 0

3 years ago