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olga_2 [115]
3 years ago
11

What is the value of x and y?

Mathematics
2 answers:
crimeas [40]3 years ago
8 0

Answer:

C. x = 8 , y = 40

Step-by-step explanation:

since this is an Isosceles triangle 5x = 40° and x = 8

The sum of interior angles in a triangle is equal to 180°

40° + 5x + 2y + 20 = 180° add like terms

5x + 2y = 120

40 + 2y = 120 ➡ 2y = 80 and y = 40

Blizzard [7]3 years ago
3 0

Step-by-step explanation:

AB =AC

Therefore,∆ABC is an isosceles triangle.

angle B= angle C

5x°= 40°

x°= 8°

Now, sum of the interior angles of the triangle= 180°

angle A+angle B+angle C=180

2y+20°+5x+40°=180°

2y+20°+40°+40°=180°

2y+100°=180°

2y=80°

y=40°

option C ,x = 8 ; y= 40°

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What's the answer for 1/2 of 3/5?
Zigmanuir [339]

Answer:

3/10

Step-by-step explanation:

6 0
3 years ago
Select the cone(s) that are similar to a cone with a height of 9 meters and a radius of 3 meters.
choli [55]

Answer:

I think it is option 4, because it has the same scale.  The height is 3 times as much as the radius.

4 0
3 years ago
A couple plans to have children until they get a​ girl, but they agree they will not have more than three​ children, even if all
barxatty [35]

Answer:

a)Let X be number of children

X=1,2,3

P(X=1)= 0.47

P(X=2) = 0.2491

P(X=3) = 0.942923

b) 3.7970

c) 1.6232

Step-by-step explanation:

The complete question is:

A couple plans to have children until they get a​ girl, but they agree they will not have more than three​ children, even if all are boys. Assume that the probability of having a girl is 47.00​%. ​

a) Create a probability model for the number of children​ they'll have.

X=1,2,3

​P(X=1)=??

P(X=2)= ??

P(X=30=???

​(Round to four decimal places as​ needed

​b) Find the expected number of children.

E(X)= ???

​c) Find the expected number of boys​ they'll have.

Expected number of boys= ???

Solution:

Probability of a girl= 0.47

Probability of a boy= 0.53

a) P(X=1)= 0.47

P(X=2) = 0.47× 0.53= 0.2491

P(X=3)= 0.47× 0.53× 0.53 + 0.53× 0.53× 0.53

             = 0.942923

b) E(number of children)= 1× P(X=1) + 2 ×P(X=2) + 3 × (PX=3)

                                       = 3.796969

c) Y: number of boys

P(Y=1)= 0.53×0.47= 0.2491

P(Y=2) = 0.53×0.53×0.47=0.46375

P(Y=3)= 0.53× 0.53× 0.53= 0.148875

E(Y)= P(Y=1)×1 + P(Y=2)×2 + P(Y=3)×3

       = 0.148875×3 +0.46375×2+0.2491 ×1

      = 1.6232

5 0
3 years ago
The perimeter of the big wheel of a bicycle is 9 cm longer than the perimeter of the front wheel. On the road of 120 cm, the big
beks73 [17]

Answer:

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Search for questions & chapters

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Question

Bookmark

A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60cm, calculate the speed per hour with which the boy is cycling.

Easy

Solution

verified

Verified by Toppr

Radius of the wheel =r=

2

60

=30 cm

Circumference of the wheel =2πr=2×

7

22

×30=

7

1320

cm

Distance covered in 1 revolution =

7

1320

cm

Distance covered in 140 revolutions =

7

1320

×140=26400 cm=264 m=

1000

264

km

Distance covered in one minute = Distance covered in 140 revolutions =

1000

264

km

Distance covered in 1 hour =

1000

264

×60=15.84 km

Hence, the speed with which the boy is cycling is 15.84km/hr.

3 0
2 years ago
(9x + 5) - (6x - 8)=
grandymaker [24]
(9x + 5) - (6x - 8)
(9x + 5) - 6x + 8
SOLUTION—3x + 13
8 0
3 years ago
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