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Novay_Z [31]
3 years ago
11

Amina sold 1/3 of her goats to a butcher and gave 1/6 of the remaining goats to her children. If she was left with 90 goats how

many goats had she at the beginning?​
Mathematics
1 answer:
navik [9.2K]3 years ago
6 0

Answer:

180 goats

Step-by-step explanation:

3/3-1/3=2/3.

2/3=4/6 remaining.

4/6-1/6=3/6 which also equals 1/2.

If 90=1/2 then 90*2=180.

Hope this helps!! <3

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Kyle spends $32.35 on a bag of soil
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Answer:

18

Step-by-step explanation:

32.25-9.85

22.5/1.25

18

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An acute triangle has two sides measuring 8 cm and 10 cm . What is the best representation of the possible range of values for t
Mekhanik [1.2K]

Answer:

the right answer is 2 < s< 18

Step-by-step explanation:

The Third side of the triangle must be greater than the difference of the other two sides which is 10 -8= 2 and smaller than the sum of the other two sides of the triangle which is 10+8= 18.

so third side should be greater than 2 and less than 18.

So right answer is 2 < s< 18

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3 years ago
6. Darcy jogs 3 km in 20 min.
SOVA2 [1]

Answer:

a) 9 km

b) 18 km

c) She runs at a constant speed of 9 km/h

Step-by-step explanation:

7 0
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Which figure has both lines of symmetry and symmetry and rotation symmetry?​
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Pentagon

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3 years ago
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2. Consider the circle x² + y2 = 1, given in figure. Let OP makes an angle 30° with the x axis.
PolarNik [594]

The equation of the tangent line to the circle passing through the point P is; y = (1/√3)x ± 2/√3

<h3>How to find the equation of the tangent?</h3>

I) We are given the equation of the circle as;

x² + y² = 1

Since angle of inclination is 30°, then slope is;

m = tan 30 = 1/√3

Then equation of the tangent will be;

y = (1/√3)x + c

Put  (√3)x + c into the given circle equation to get;

x² + ((1/√3)x + c)² = 1

x² + ¹/₃x² +  (2/√3)cx + c² = 1

⁴/₃x² +  (2/√3)x + (c² - 1) = 0

Since we need to find value of c for equation to become tangent, then the above quadratic equation must have real and equal roots.

Thus;

((2/√3)c)² - 4(⁴/₃)(c² - 1) = 0

⁴/₃c² - ¹⁶/₃(c² - 1) = 0

⁴/₃c² - ¹⁶/₃c² + ¹⁶/₃ = 0

4c² = ¹⁶/₃

c² = ⁴/₃

c = √⁴/₃

c = ±²/√3

Thus, equation of tangent is;

y = (1/√3)x ± 2/√3

II) Radius from the given equation is 1. Thus, we will use trigonometric ratio to find the x and y intercept;

x-intercept is at y = 0;

0 = (1/√3)x ± 2/√3

-(1/√3)x = ±2/√3

Intercept is positive. Thus;

x = (2/√3)/(1/√3)

x = 1

y - intercept is positive at x = 0;

y = (1/√3)0 ± 2/√3

y = 2/√3

Read more about Equation of tangent at; brainly.com/question/17040970

#SPJ1

6 0
1 year ago
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