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Alex777 [14]
2 years ago
11

In the figure AB =6cm, triangle AOB =60°

Mathematics
1 answer:
viva [34]2 years ago
6 0

Answer:

From the basics of algebra,

a triangle subtended to the center of a circle from the circumference is always isosceles

since the Central angle is 60 and the triangle is isosceles, the other angles are,

\frac{180 - 60}{2}  = 60

meaning that the triangle is equilateral.

all the other angles are 60.

the radius of the circle is the length of the triangles side,

ie 6cm

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Howard needs new gutters for the front and both sides of his home. The front of the house is 50 ft 8 in., and each side is 22 ft
tankabanditka [31]

Answer:

95 ft 10 in

Step-by-step explanation:

We need to add the lengths of the front of the house and both sides of the house:

50 ft 8 in + 2(22ft + 9in)

= 50ft + 8 in + 44ft + 18in

= 94ft + 22in

12 inches = 1 foot

22 inches = 1 ft 10 in

Therefore, the length of the gutter he must buy must be:

94 ft + 1 ft + 10 in

= 95 ft 10 in

5 0
3 years ago
Jake just learned to identify the difference between an oak tree and a maple tree. He was curious about the concentration of the
valentinak56 [21]

Answer:

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Step-by-step explanation:

8 0
3 years ago
In triangle ABC, ∠ABC=70° and ∠ACB=50°. Points M and N lie on sides AB and AC respectively such that ∠MCB=40° and ∠NBC=50°. Find
Sever21 [200]

Answer:

∠NMC  = 50°

Step-by-step explanation:

The interpretation of the information given in the question can be seen in the attached images below.

In ΔABC;

∠ A + ∠ B + ∠ C = 180°    (sum of angles in a triangle)

∠ A + 70°  + 50°  = 180°

∠ A = 180° - 70° - 50°

∠ A =  180° - 120°

∠ A =  60°

In ΔAMN ; the base angle are equal , let the base angles be x and y

So; x = y   (base angle of an equilateral  triangle)

Then;

x + x + 60° = 180°

2x +  60° = 180°

2x = 180° - 60°

2x = 120°

x = 120°/2

x = 60°

∴ x = 60° , y = 60°

In ΔBQC

∠a + ∠e + ∠b = 180°

50° + ∠e + 40° = 180°

∠e = 180° - 50° - 40°

∠e = 180° - 90°

∠e = 90°

At point Q , ∠e = ∠f = ∠g = ∠h = 90°  (angles at a point)

∠i  = 50° - 40° = 10°

In ΔNQC

∠f + ∠i   + ∠j = 180°

90° + 10° + ∠j = 180°

∠j  = 180° - 90°-10°

∠j  = 180° - 100°

∠j  = 80°

From  line AC , at point N , ∠y + ∠c + ∠j = 180°   (sum of angles on a straight line)

60° + ∠c + ∠80° = 180°

∠c  = 180° - 60°-80°

∠c  = 180° - 140°

∠c  = 40°

Recall that :

At point Q , ∠e = ∠f = ∠g = ∠h = 90°  (angles at a point)

Then In Δ NMC ;

∠d + ∠h + ∠c = 180°   (sum of angles in a triangle)

∠d + 90° + 40° = 180°

∠d  = 180° - 90° -40°

∠d  = 180° - 130°

∠d  = 50°

Therefore, ∠NMC = ∠d  = 50°

3 0
3 years ago
graph the function f (x) = x^2 + 4x -5. on the coordinate plane. (a) What are the x-intercepts? (b) What are the y-intercepts? (
Butoxors [25]

Answer:

a) (-5,0) and (1,0)

b) (0,-5)

c) minimum

See attached graph.

Step-by-step explanation:

To graph the function, find the vertex of the function find (-b/2a, f(-b/2a)). Substitute b = 4 and a = 1.

-4/2(1) = -4/2 = -2

f(-2) = (-2)^2 + 4(-2) - 5 = 4 - 8 - 5 = -4 - 5 = -9

Plot the point (-2,-9). Then two points two points on either side like x = -1 and x = -3. Substitute x = -1 and x = -3

f(-1) = (-1)^2 + 4 (-1) - 5 = 1 - 4 - 5 = -8

Plot the point (-1,-8).

f(-3) = (-3)^2 + 4(-3)  - 5 = 9 - 12 - 5 = -8

Plot the point (-3,-8).

See the attached graph.

The features of the graph are:

a) (-5,0) and (1,0)

b) (0,-5)

c) minimum

5 0
3 years ago
What is the scale factor from Figure A to Figure B?
bearhunter [10]

Answer:

Step-by-step explanation:

To find the Scale factor we use this formula:

Scale factor / K  = Dimension of the new shape ÷ Dimension of the original shape

Substitute any 2 corresponding sides into the formula:

I took 1 and 4:

K = 1 / 4

K = 0.25

I'm not sure which form the question is so I will leave it here.

Hope this helped. Brainliest please?

7 0
2 years ago
Read 2 more answers
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