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2 years ago

13

Find the measure of each acute angle in a right triangle where the measure of one acute angle is 8 times the measure of the othe

r acute angle.

1 answer:

Arlecino [84]2 years ago

8 0

Answer:

10° and 80°

Step-by-step explanation:

All triangles have internal angles that always add up to 180°.

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Which equation represents the circle described?

faust18 [17]

ANSWER

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

EXPLANATION

The equation of the circle with radius r and centre (a,b) is given by

$(x - a)^{2} + {(x - b)}^{2} = {r}^{2}$

The radius is

$r = 2$

We need to determine the center of the circle from the given equation of another circle, which is,

${x}^{2} + {y}^{2} - 8x - 6y + 24 = 0$

We complete the square to obtain,

${x}^{2} - 8x+ {y}^{2} - 6y + 24 = 0$

${x}^{2} - 8x+ {y}^{2} - 6y = - 24$
${x}^{2} - 8x+ {( - 4)}^{2} + {y}^{2} - 6y + {( - 3)}^{2} = - 24 + {( - 3)}^{2} + {( - 4)}^{2}$

${(x - 4)}^{2} + {(y - 3)}^{2} = - 24 + 9+ 16$

${(x - 4)}^{2} + {(y - 3)}^{2} = 1$

The centre of this circle is (4,3)

Hence the center of the circle whose equation we want to find is also (4,3).

With this center and radius 2, the required equation is,

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

Therefore the correct answer is C.

3 0

3 years ago

Read 2 more answers

There are 50 kids taking archery at Bentwood Summer Camp. If 25% of the kids are taking archery, how many kids are at Bentwood S

kakasveta [241]

Using the properties of percentages we can calculate that there are 200 kids in the archery camp that summer.

Long before the decimal numeral system, Ancient Rome routinely computed in fractions as multiples of 1/100.

A percentage is a dimensionless (pure) number; it has no unit of measurement.

The % value is determined by multiplying the numerical value of the ratio by 100. To calculate 50 apples as a percentage of 1250 apples, first compute 50/1250 = 0.04, then multiply by 100 to get 4%.

Let the total number of kids in the camp be x.

The number of kids who took archery = 25%

But 50 students took archery.

hence 25% of x = 50

Solving we infer:

x = 200

Therefore there are 200 kids in the camp.

To learn more about percentages visit:

brainly.com/question/15840409

#SPJ1

3 0

1 year ago

Math help help help answer all 4 pls

serious [3.7K]

Answer:

a) 2,350,000,000

b) 25,000,000

c) B

Step-by-step explanation:

a) 2350 X 1,000,000 = 2,350,000,000

b) 25 X 10^6 = 25,000,000

c) sqrt(90000) =300

7 0

2 years ago

Read 2 more answers

10x = 2x -8 what is this answer

julia-pushkina [17]

Answer:

x=-1

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the area?<br> 4.6 yd<br> 7.7 yd

mario62 [17]

Answer:

A = 35.42 yd²

Step-by-step explanation:

We need to find the area if the dimensions are given as 4.6 yd and 7.7 yd.

The area of a rectangle shaped figure is given by :

A = lb

Where

l is length and b is the breadth

So, put all the values,

A = (4.6)(7.7)

= 35.42 yd²

So, the area of the figure is equal to 35.42 yd².

5 0

3 years ago