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bonufazy [111]
3 years ago
7

what is the area of the rectangle wxyz with vertices w(0,1),x(3,4),y(-1,8),z(-4,5) to the nearest unit

Mathematics
1 answer:
Neko [114]3 years ago
8 0
Area of rectangle = length x width (product of the two adjacent sides)
Length of wx = sqrt((3 - 0)^2 + (4 - 1)^2) = sqrt(3^2 + 3^2) = sqrt(18) = 4.24
Length of xy = sqrt((-1 - 3)^2 + (8 - 4)^2) = sqrt((-4)^2 + 4^2) = sqrt(32) = 5.66

Area = 4.24 x 5.66 = 24 square units.
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Tammy rents an apartment close to her school campus. The amount that she spends on rent is given by the equation r = 355m, where
motikmotik
<span>Tammy rents an apartment close to her school campus. The equation that is given is this one:
r = 355m,
where r is the amount spend on the rent.
m is the number of months.

In order to get the constant proportionality of r to m in this relationship, then we can set a constant k variable.

r = 355 m (k)
k = 1 r / 355 m

1 hour spent, it takes you to spend 355.</span>
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3 years ago
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A diamond today cost ten dollars more than twice what it cost last year.The sum of the cost (last year and this year) is $2500.
nadya68 [22]

Answer:

The cost of the diamond last year is x = $ 830

Step-by-step explanation:

Let the cost of diamond last year = x

the cost of diamond present year = y

Given that diamond today cost ten dollars more than twice what it cost last year.

⇒ y = 2 x + 10  ------ (1)

The sum of the cost (last year and this year) is  = $ 2500

⇒ x + y = $ 2500 -------- (2)

Put the value of y in equation (2) from equation (1), we get

⇒ 2 x + 10 + x = $ 2500

⇒ 3 x = 2490

⇒ x = $ 830

& y = 2500 - 830

⇒ y = $ 1670

Therefore the cost of the diamond last year is x = $ 830

6 0
3 years ago
Anita incorrectly wrote the equation z = w – 18 to describe the pattern in the table.
Alina [70]

Answer:

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Step-by-step explanation:

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P.S this was epert verified

8 0
2 years ago
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Your car can drive 300 miles on a tank of 15 gallons. How far can it drive on 40<br> gallons?
Flura [38]

Answer:

800

Step-by-step explanation:

since 300 divided by 15 is 20.

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3 0
3 years ago
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If it takes 6 hours for a plane to travel 720km with a tail wind and 8 hours to make the return trip with a head wind. Find the
denis-greek [22]

The speed of wind and plane are 105 kmph and 15 kmph respectively.

<u>Solution:</u>

Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.  

We have to find the air speed of the plane and speed of the wind.

Now, let the speed wind be "a" and speed of aeroplane be "b"

And, we know that, distance = speed x time.

\text { Now, at tail wind } \rightarrow 720=(a+b) \times 6 \rightarrow a+b=\frac{720}{6} \rightarrow a+b=120 \rightarrow(1)

Now at head wind → 720=(a-b) \times 8 \rightarrow a-b=\frac{720}{8} \rightarrow a-b=90 \rightarrow(2)

So, solve (1) and (2) by addition

2a = 210

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substitute a value in (1) ⇒ 105 + b = 120

⇒ b = 120 – 105 ⇒ b = 15.

Here, relative speed of plane during tail wind is 120 kmph and during head wind is 90 kmph.

Hence, speed of wind and plane are 105 kmph and 15 kmph respectively.

6 0
3 years ago
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