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fomenos
3 years ago
8

Find the sum. Write your answer in simplest form.

Mathematics
1 answer:
Masteriza [31]3 years ago
4 0

Answer:

19/20

Step-by-step explanation:

write all numerators above the common denominator 20

14+5/20

19/20

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Emma says that Function A has a greater initial value. Is Emma correct? Justify your response.
enot [183]

Answer:

B. you can check the second one

4 0
3 years ago
A right triangle △ABC with right angle C is inscribed in a circle. Find the radius of this circle if:
KIM [24]

Answer:

The radius = 18 cm

Step-by-step explanation:

* Lets take about the inscribed triangle in a circle

- If the three vertices of a triangle lie on the circumference of a circle,

 then this triangle is inscribed in the circle

- The vertices of the triangle are inscribed angles in the circle

- The inscribed angle opposite to a circle's diameter is always a

  right angle (its measure is 90°)

- Now lets solve the problem

∵ Δ ABC is a right triangle at C

∴ m∠C = 90°

∵ Δ ABC is inscribed in a circle

∴ A , B , C lie on the circumference of the circle

∴ ∠A , ∠B , ∠C are inscribed angles in the circle

∴ m∠C = 90°

∵ ∠C is opposite to the side AB

∴ AB is the diameter of the circle ⇒ from the bold note above

∵ m∠B = 30°

∵ AC = 18 cm

- Lets use the trigonometry function to find the length of AB

* In Δ ABC

∵ AC is opposite to angle B

∵ AB is the hypotenuse

∵ sin Ф = opposite/hypotenuse

∴ sin B = AC/AB

∴ sin (30)° = 18/AB ⇒ using cross multiplication

∴ AB sin (30)° = 18 ⇒ divide both sides by sin (30)°

∴ AB = 18/sin(30)°

∵ sin(30)° = 1/2

∴ AB = 18/(1/2) = 36 cm

∵ AB is the diameter of the circle

∵ The length of the radius of a circle = 1/2 the length of the diameter

∴ The radius = 1/2 × 36 = 18 cm

7 0
4 years ago
The time that passes between the time you see lightning and you hear the thunder depends on your distance from the lightning. Wi
xxTIMURxx [149]

When the lightning occurs 4.5 km away then we will hear after 13.5 seconds and if we hear after 1.5 seconds then we are 0.5 km away from lightning.

Given With each km from the lightning 3 seconds passes.

a) The table of values for distances from 0 to 5 km.

     Distances                     Time

            0                              0

            1                               3

            2                              6

            3                               9

            4                               12

            5                                15

b) The graph of lightning is a linear relation because it is increasing constantly by 3 seconds. f(x)=3x

c) When distance =1  , the time be 3 seconds

when distance =4.5  , the time=3*4.5

=13.5 seconds.

d) When time is 3 seconds = 1km

when time =1.5 seconds , the distance be 1/2=0.5 km.

Learn more about graph at brainly.com/question/4025726

#SPJ10

5 0
2 years ago
Describe the symmetry of these functions.
sertanlavr [38]

Answer:

line symmetry & rotational symmetry

Step-by-step explanation:

4 0
3 years ago
The sum of 3/4 and 18/19 is closest to
n200080 [17]
The decimal answer is 1.697368421 and the fraction answer is 129/76
3 0
3 years ago
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