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motikmotik
3 years ago
6

What is the length of Ac? Round to the nearest tenth.

Mathematics
1 answer:
I am Lyosha [343]3 years ago
5 0

Given:

The figure of a right angle triangle.

To find:

The length of the line segment AC.

Solution:

In a right angle triangle,

\tan \theta=\dfrac{Opposite}{Adjacent}

In the given right triangle ABC,

\tan (A)=\dfrac{BC}{AC}

\tan (55^\circ)=\dfrac{BC}{AC}

\tan (55^\circ)=\dfrac{15}{AC}

AC=\dfrac{15}{\tan (55^\circ)}

On further simplification, we get

AC=\dfrac{15}{1.428148}

AC=10.503113

AC\approx 10.5

The length of side AC is equal to 10.5 m .

Therefore, the correct option is A.

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skelet666 [1.2K]

The equation representing the minimum and maximum number of fishes which would fit into the tank is : 5 ≤ x ≤ 9

From the table given ;

  • Method 2 will allow the maximum number of fish = 9
  • Method 1 will allow the minimum number of fish = 5

To represent the maximum and minimum number of fish that will fit into the tank;

We could use an inequality expression to represent these range :

Let x represent the Number of fishes that would fit into the tank :

  • Minimum ≤ x ≤ maximum

Therefore, the equation can be written thus :

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Learn more : brainly.com/question/24566347

4 0
3 years ago
Factorisation of ax^2 + bx + c
tigry1 [53]

Answer:

-5(t+3)(t-6)

Step-by-step explanation:

-5²+15+90

= -5(t²-3t-18)

= -5(t+3)(t-6)

6 0
3 years ago
Which of the following is the equation of
Neporo4naja [7]

Answer:

a) Option A is correct.

b) Option C is correct.

Step-by-step explanation:

a) Which of the following is the equation of  the line passing through the points (1, 1)  and (-3,5)?

We will use the equation

(y-y₁)=m(x-x₁)

m= (y₂-y₁)/(x₂-x₁)

m= (5-1)/(-3-1)

m= 4/-4

m= -1

Consider point (1,1) and Putting value of m

(y-y₁)=m(x-x₁)

(y-1)=1(x-1)

y-1=x-1

y=x-1+1

y=x

So, Option A is correct.

b) Which of the following is the equation of a  line with a slope of 0 passing through (2,5)?

The formula used is:

y= mx+b

Finding b:

5=0(2)+b

=> b = 5

So, equation is:

y = mx+b

y=0x+5

y=5

So, Option C is correct.

5 0
3 years ago
I need someone to explain it on paper plzz it’s a time test
zzz [600]
Yes it’s a right angle because it has a 90 degree angle. In order for a triangle to be a right angle it needs to have one 90 degree angle. Hope this helps!
3 0
3 years ago
If y is directly proportional to x and y = 17.5 when x=21 find y when x=39
morpeh [17]

direct proportion y=kx , k is constant and k does not equal to 0.

17.5=k(21)

k=5/6

when x =39

y=5/6 ×39

y=32.5

4 0
3 years ago
Read 2 more answers
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