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iogann1982 [59]
3 years ago
12

4.

Mathematics
1 answer:
kow [346]3 years ago
5 0

Answer:

B

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 7)² + (y - 5)² = 16 ← is in standard form

with centre = (- 7, 5 ) and r = \sqrt{16} = 4 → B

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What is the value of a?​
Leno4ka [110]

Answer:

A=60

Step-by-step explanation:

Add 28+20+12

A=60

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2 years ago
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Four different digits from 1 to 9 are required to open a safe.
masha68 [24]

Answer:  5942

<u>Step-by-step explanation:</u>

Clue 4 states exactly two of the digits = 1, 4, or 9

Clue 1 leaves us with the following combinations:

1, 9, 2, 8

1, 9, 3, 7    eliminate by clue 5

4, 9, 2, 5

1, 4, 7, 8

Clue 5 directs us to the following order for 1,9,2,8

2 __ __ 1     --> 2981 or 2891   eliminate by clue 2

9 __ __ 8    --> 9128 or 9218   eliminate by clue 6

9 __ __ 2    --> 9182 or 9812   eliminate by clue 6

Clue 5 directs us to the following order for 4,9,2,5

5 __ __ 2     --> 5492 or 5942   eliminate 5492 by clue 2

9 __ __ 2    --> 9452 or 9542   eliminate by clue 3

Clue 5 directs us to the following order for 1,4,7,8

4 __ __ 1    --> 4781 or 4871    eliminate by clue 2

The only combination not eliminated is 5-9-4-2, which satisfies all six clues.

1) 5 + 9 + 4 + 2 = 20

2) 5 > 4

3) 9 - 2 > 5

4) 4 & 9 but not 1 are included

5) 5 + 2 = 7, which is a prime number

6) 2 <  5, 9, 4

5 0
3 years ago
The isosceles triangle has a perimeter of 7.5 m. Which equation can be used to find the value of x if the shortest side, y, meas
kicyunya [14]
An isosceles triangle has 2 sides of the same length and one side that's not the same length.

So it says the shortest side, y, is 2.1m, so that means it's the side that is not the same length as the other two sides.

But the other two sides will be the same length. Let's make those 2 sides x.

The equation would be
x + x + 2.1 = 7.5

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3 0
3 years ago
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A candidate running for office is putting on a gala as a fundraiser, with hopes of raising more than $7,900 in political contrib
baherus [9]
The simplest interpretation would go a little something like this:

We know that we want the total donation amount to be more than $7,900, so we can set up this inequality to begin with

D \ \textgreater \ 7,900

Where D is the total donations raised (in dollars). How do we find D? Well, we just add up the total number of table reservations sold and the total number of single tickets sold. If we let r stand for the number of reservation tickets and s stand for the number of single tickets, then we have

D=540r+34s

So, the inequality representing this situation would be

540r+34s\ \textgreater \ 7,900

And that would probably be fine for this problem.

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3 0
3 years ago
If the length of a leg of a triangle is 39.2 and the area of the triangle is 63 what is the length of the other leg
Nadya [2.5K]

Answer:

The length of the other leg is 3.21\ units

Step-by-step explanation:

I will assume that the triangle is a right triangle

In a right triangle the legs are perpendicular

so

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In this problem we have

a=39.2\ units

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substitute the values

63=\frac{1}{2}(39.2)(b)

126=(39.2)(b)

b=126/(39.2)=3.21\ units

7 0
3 years ago
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