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alexandr402 [8]
3 years ago
11

What is the value of x in the triangle?

Mathematics
1 answer:
topjm [15]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = \frac{1}{2} , then

sin30° = \frac{opposite}{hypotenuse} = \frac{x}{8} = \frac{1}{2} ( cross- multiply )

2x = 8 ( divide both sides by 2 )

x = 4

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4) Find the area. 7 cm 9 cm 12 cm​
EleoNora [17]

Answer:

756

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
John and Annie have two distinguishable ponds. Initially, each of the ponds contains four ducks and five geese. John first picks
Sladkaya [172]

Answer: 4/9

Step-by-step explanation:

The probability that annie picks a duck Pt= the probability of picking a duck without accounting for the added one (Po)+ probability of picking the added bird and it's a duck(Pi)

Pt = Po+Pi

Since the total number of birds in the right pond is 10 after the addition of one by john

Po= 4/10

Pi= the of john adding a duck × the probability of annie picking the added bird

Pi= 4/9 × 1/10

Pi = 4/90

Pt= 4/10 + 4/90

Pt = (36+4)/90

Pt=40/90

Pt= 4/9

(This implies that the probability of picking a duck remain the same even after the addition of one bird from the left ponds because they both have equal proportions of duck and geese i.e the initial number of duck and geese in both right and left ponds are 4 and 5 respectively)

Thanks.

4 0
3 years ago
One way to recognize a line of symmetry is to look for a line that divides the original image into?
Hunter-Best [27]

Answer:

Half

Step-by-step explanation:

by dividing in half, it shows both sides are equal/symmetric

hope this helps:)

4 0
2 years ago
Read 2 more answers
Given the figure below, find the values of x and z.
iragen [17]

Answer:

x=6 and z=107

Step-by-step explanation:

From the figure or diagram we can say that

z+15x-17=180 ---(1)

z+11x+7=180 ---(2)

Subtracting (1) and (2)

z+15x-17-(z+11x+7)=180-180

4x-24=0

4x=24

x=6

Substitute x=6 in (2)

z+11(6)+7=180

z+66+7=180

z=180-73

z=107

4 0
3 years ago
If you want to put a 4x8 piece of plywood through a 3 foot square opening in your ceiling by turning it diagonally is the openin
Zigmanuir [339]
Here we apply the Pythagorean theorem:
c^2=a^2+b^2
The diagonal of the opening will be:
c^2=3^2+3^2
c^2=9+9
c^2=18
c=3√2 ft

The diagonal of the wood will be:
c^2=4^2+8^2
c^2=16+64
c^2=80
c=4√5 ft

The space will not be enough for the plywood to pass
8 0
3 years ago
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