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3 years ago

80% of x games is 32 games

Mathematics

1 answer:

miskamm [114]3 years ago

4 0

80% of x = 32
80% × x = 32
.80x = 32
x = 32/.80
x = 40

80% of 40 games is 32 games.

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(a) Name the minor arc __________ Name the major arc ___________

iragen [17]

Answer:

Part a) minor arc: XY; major arc: XVY

Part b) $248\°$

Part c) The tangent line is UV and the secant line is XY

Part d) $UV=6\sqrt{5}\ units$ or $UV=13.42\ units$

Step-by-step explanation:

Part a) we know that

The major arc is the larger arc joining two points on the circumference of a circle. Is an arc larger than a semicircle.

The sum of major and minor arcs is the whole circle, 360°

In this problem, possible major arcs are

VYX, VXY, XVY

and the corresponding minor arcs are

VX, VY, XY

Part b) we know that

The sum of major and minor arcs is the whole circle, 360°

Let

x------> measure minor arc

y-------> measure of major arc

$x+y=360\°$

we have

$x=112\°$

substitute

$112\°+y=360\°$

$y=360\°-112\°=248\°$

Part c) we know that

A tangent line intersects a circle at exactly one point.

In this problem

The tangent line is UV

A secant line intersects a circle in two points.

In this problem

The secant line is XY

Part d) we know that

The <u>Intersecting Secant Theorem</u> States: When two secant lines intersect each other outside a circle, the products of their segments are equal

$UV*UV = UX*UY$

$UV^{2} = 9*(9+11)$

$UV^{2} = 180$

$UV=\sqrt{180}\ units$

Simplify

$UV=6\sqrt{5}\ units$ or $UV=13.42\ units$

7 0

4 years ago

Please help on these two

jeyben [28]

Answer:

For your first problem you want to see what all the sides would equal

You would have to combine them all into one big equation

5x-7+3x+1+4x=30 (now you want to combine like terms)

12x-7+1=30 (combined the x's together)

12x-6=30 (added -7 and 1)

12x=36 (added 6 to each side)

x=3 (divided 12 to each side)

Now you wanna plug 4 in for x for each side to find out the largest to smallest

AB=5(3)-7= 8

BC=3(3)+1= 10

AC=4(3)= 12

So in order from smallest to largest would be angle C, B, A because

Angle C is the smallest angle because the sides AC and BC are the longest so they form the smallest angle

Then it would be angle A being the largest because the smallest sides in length AB and BC make up the biggest angle

The next problem would be that in order for it to have to be a triangle the two smallest sides needs to add up higher than the third side so

11, 11, 24, 11+11=22, which is less than 24 so not this one

18,12,9, 9+12=21 which is greater that 18 so this one would be a triangle

9,10,19, 9+10=19 which 19 isn't greater than 19 so this one is not a triangle

4,7,23, 4+7=11 which is less than 23, so this one is also not a triangle

So your answer would be 18cm,12cm,9cm

8 0

3 years ago

A rectangular prism has a volume of 90 cubic feet. The prism has a height of 2 feet and a width of 3 feet. What is the length of

jolli1 [7]

Answer:

Step-by-step explanation:

2x3x15 equals to 90

3 0

3 years ago

Which expression is equivalent to

sweet-ann [11.9K]

Answer:

ITS D ITS NOT THERE

Step-by-step explanation:

7 0

3 years ago

Please help me out with this

Naddik [55]

Answer:

(x - 5)² + (y + 3)² = 16

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

here (h, k) = (5, - 3) and r = 4, so

(x - 5)² + (y - (- 3))² = 4², that is

(x - 5)² + (y + 3)² = 16

3 0

3 years ago