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Slav-nsk [51]
3 years ago
13

The diagram shows a room in an art gallery. Each unit square is 1 square meter. What is the area of the room

Mathematics
2 answers:
anastassius [24]3 years ago
8 0
I see no diagram attached
omeli [17]3 years ago
6 0
The anwser is 4 becuase it is a rectangle and a rectangle has 4 sides
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What are the foci of the hyperbola with equation 5y^2-4x^2=20?
shusha [124]
The foci of the hyperbola with equation 5y^2-4x^2=20 will be given as follows:
divide each term by 20
(5y^2)/20-(4x^2)/20=20/20
simplifying gives us:
y^2/4-x^2/5=1
This follows the standard form of the hyperbola
(y-k)²/a²-(x-h)²/b²=1
thus
a=2, b=√5 , k=0, h=0
Next we find c, the distance from the center to a focus.
√(a²+b²)
=√(2²+(√5)²)
=√(4+5)
=√9
=3
the focus of the hyperbola is found using formula:
(h.h+k)
substituting our values we get:
(0,3)
The second focus of the hyperbola can be found by subtracting c from k
(h,k-c)
substituting our values we obtain:
(0,-3)

Thus we have two foci
(0,3) and (0,-3)
5 0
3 years ago
Read 2 more answers
Help please 10 minutes!!!!!!!!!
WITCHER [35]

Substitute y = 2x - 15 to the second equation:

4x + 3(2x - 15) = -5      use distributive property

4x + (3)(2x) + (3)(-15) = -5

4x + 6x - 45 = -5       add 45 to both sides

10x = 40      divide both sides by 10

x = 4

Substitute the value of x to the equation y = 2x - 15:

y = 2(4) - 15 = 8 - 15 = -7

<h3>Answer: (4, -7)</h3>
8 0
3 years ago
A box contains four blue and eight red balls. Jim and Jack start drawing balls from the box, respectively, one at a time, at ran
aleksandrvk [35]

Answer:

the probability that Jack draws the blue ball is 0.38539

Step-by-step explanation:

Given the data in the question;

box contains

blue balls = 5

red balls = 8

Jim and Jack start drawing balls from the box, respectively, one at a time, at random, and without replacement

Now,

on the first attempted;

⇒ ( 8/13) × ( 5/12) = 10/39  

on the second attempt;

⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) = 14/143

on the third attempt;

⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 5/8 ) = 35/1287

on the fourth attempt;

⇒  ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 3/8 ) ( 2/7 ) ( 5/6 ) = 5/1287

so we add everything;  

⇒ 10/39 + 14/143 + 35/1287 + 5/1287

= 0.38539

Therefore, the probability that Jack draws the blue ball is 0.38539

5 0
3 years ago
Mikey bikes 12 miles in 2 hours. How many miles does Mikey bike in an hour?
Ad libitum [116K]

Answer:

6 miles

Step-by-step explanation:

2 hours can be made into 1 hour by dividing by 2. In order to keep the ratio, you also have to divide the miles by 2, giving you 6.

2:12

1:6

7 0
2 years ago
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Brainlist! in what ways could the shape pattern below be described?​
creativ13 [48]
A . the 13th spot will have a star
7 0
2 years ago
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