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almond37 [142]
3 years ago
6

Find the area of the figure.

Mathematics
1 answer:
jasenka [17]3 years ago
6 0
Divide into shapes that you can find the area of.....

you also have to cross out the 5 and the 4s because you will not need them

2×2= 4 sq. cm
2×2= 4 sq. cm
9×2 = 18 sq. cm

18 + 4 + 4 = 26 sq. cm

so the area is 26 sq. cm
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Given that segment AB is tangent to the circle shown in the diagram centered at point C, determine the value of x
Ulleksa [173]

Answer:

<h2>x= 37</h2>

Step-by-step explanation:

This problem can be solved by applying Pythagoras theorem, since the segment AB is tangent to the circle(meaning that the point A is at 90 degree to the circle)

According to Pythagoras theorem "It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".

given (as seen from the diagram)

x, hypotenuse= ?

opposite= 12

adjacent= 35

Applying Pythagoras theorem

hyp^2= opp^2+adj^2\\\\hpy=\sqrt{opp^2+adj^2}

Substituting our given data and solving for hpy we have

hyp=\sqrt{12^2+35^2} \\\\hyp=\sqrt{144+1225}\\\\hyp=\sqrt{1369}\\\\hyp= 37

hence x= 37

5 0
3 years ago
If Susie is 14, what was her age x years ago?
patriot [66]

Answer:

14 - x = age of years ago.

Step-by-step explanation:


4 0
4 years ago
Write the standard form of the equation of the circle with center (-5,-7) that passes through the point (7,5).
shutvik [7]

Answer:

(x + 5)² + (y + 7)² = 288

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

The radius is the distance from the centre (- 5, - 7) to the point on the circle (7, 5)

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 5, - 7) and (x₂, y₂ ) = (7, 5)

r = \sqrt{(7+5)^2+(5+7)^2} = \sqrt{12^2+12^2} = \sqrt{288}

Hence

(x - (- 5))² + (y - (- 7))² = (\sqrt{288})², that is

(x + 5)² + (y + 7)² = 288

4 0
3 years ago
5 a. 32% of 881
ira [324]

Answer:

Hope these helps

Step-by-step explanation:

5 a. 32% of 881 = 281.92

5 b. 39% of 719 = 280.41

6 a. 35% of 441 = 154.35

6 b. 67% of 429 = 287.43

7 a. 21% of 358 = 75.18

7 b. 47% of 6 =2.82

8 a. 67% of 811 = 543.37

8 b.

97% of 311 = 301.67

4 0
3 years ago
A line has a slope of -2 and passes through the point (1,-2). what is an equation of this line ?
Ket [755]
Y=-2x would be the answer.
4 0
3 years ago
Read 2 more answers
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