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WINSTONCH [101]
4 years ago
11

What is the area of the rectangle?

Mathematics
1 answer:
den301095 [7]4 years ago
7 0

Answer:

50\ units^{2}

Step-by-step explanation:

Plot the figure to better understand the problem

see the attached figure

we know that

If the figure is a rectangle          

then

AB=CD \\AD=BC

The area of the rectangle is equal to

A=B*h

 where  

B is the base  

h is the height  

the base B is equal to the distance AB

the height h is equal to the distance AD  

Step 1

Find the distance AB

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

A(-5,5)\\B(0,-5)

substitute the values

d=\sqrt{(-5-5)^{2}+(0+5)^{2}}\\d=\sqrt{(-10)^{2}+(5)^{2}}\\dAB=\sqrt{125}\ units

Step 2

Find the distance AD

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

A(-5,5)\\D(-1,7)

substitute the values

d=\sqrt{(7-5)^{2}+(-1+5)^{2}}\\d=\sqrt{(2)^{2}+(4)^{2}}\\dAD=\sqrt{20}\ units

Step 3

Find the area of the rectangle

A=AB*AD

we have

dAB=\sqrt{125}\ units\\dAD=\sqrt{20}\ units

substitute

A=\sqrt{125}*\sqrt{20}\\A=\sqrt{2,500}\\A=50\ units^{2}

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(Full question above)
Bezzdna [24]

The volume of the solid is 540 mm

Step-by-step explanation:

The volume a rectangular prism is calculated as the product of its length, width and height.

Mathematically, V=l*w*h where l is length of the prism, w is width and h is the height

Given that the dimensions of the rectangular prism as;

Length=15 mm

Width= 6 mm

Height = 6 mm

V=15*6*6= <u>540 mm </u>

<h2>If this is the best answer please mark brainilest. Have a great day, hope this helps!  </h2>

8 0
3 years ago
Which is a slow environmental change that only occurs naturally? A. earthquake B. changes in weather C. succession D. global war
Lady bird [3.3K]
The answer would be 
C. succession
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7 0
3 years ago
Help,??????????????????
abruzzese [7]
So you would find out what number in the 9 times tables goes into 25 and there's your answer x
8 0
3 years ago
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d1i1m1o1n [39]
Both lines intersect at the point
(-0.5, 0.5)
5 0
3 years ago
The centers for disease control and prevention reported that 25% of baby boys 6-8 months old in the united states weigh more tha
melisa1 [442]

Answer:

0.1971 ( approx )

Step-by-step explanation:

Let X represents the event of weighing more than 20 pounds,

Since, the binomial distribution formula is,

P(x)=^nC_r p^r q^{n-r}

Where, ^nC_r=\frac{n!}{r!(n-r)!}

Given,

The probability of weighing more than 20 pounds, p = 25% = 0.25,

⇒ The probability of not weighing more than 20 pounds, q = 1-p = 0.75

Total number of samples, n = 16,

Hence, the probability that fewer than 3 weigh more than 20 pounds,

P(X

=^{16}C_0 (0.25)^0 (0.75)^{16-0}+^{16}C_1 (0.25)^1 (0.75)^{16-1}+^{16}C_2 (0.25)^2 (0.75)^{16-2}

=(0.75)^{16}+16(0.25)(0.75)^{15}+120(0.25)^2(0.75)^{14}

=0.1971110499

\approx 0.1971

3 0
3 years ago
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