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KonstantinChe [14]
3 years ago
8

Decimals on the Number Line and Rounding Decimals

Mathematics
1 answer:
Anika [276]3 years ago
7 0

Answer:

0.7

Step-by-step explanation:

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NEED HELP ASAPPPPPPPPP
Nookie1986 [14]

Answer:

A  = 57°

B = 19°

C = 104°

Step-by-step explanation:

We have a triangle with 3 angles:

A, B, and C.

We know that:

"Angle A is 3 times larger than angle B"

We can write this as:

A = 3*B

"Angle C was 10° less than 6 times angle B"

This can be written as:

C = 6*B - 10°

And we also know that the sum of all interior angles of a triangle is 180°

Then we also have the equation:

A + B + C = 180°

So we have a system of 3 equations:

A = 3*B

C = 6*B - 10°

A + B + C = 180°

To solve this, the first step is to isolate one of the variables in one of the equations.

We can see that A is already isolated in the first one, so we can skip that step.

Now we need to replace A in the other equations, to get:

C = 6*B - 10°

(3*B) + B + C = 180°

Now we have a system of two equations.

Let's do the same procedure, we can see that C is isolated in the top equation, so we can just replace that in the other equation to get:

3*B + B + (6*B - 10°) = 180°

Now we can solve this for angle B

4*B + 6*B - 10° = 180°

10*B - 10° = 180°

10*B = 180° + 10° = 190°

B = 190°/10 = 19°

Now that we know the measure of angle B, we can input this in the equations:

A = 3*B

C = 6*B - 10°

To find the measures of the other two angles:

A = 3*19° = 57°

C = 6*19° - 10° = 104°

5 0
3 years ago
What is the approximate area of the shaded sector in the circle shown below?
Anton [14]

Answer:

The approximate area is A) 5.09cm²

Step-by-step explanation:

Area of a Circle = πr²

r = 1.8

Plug in our values

π(1.8cm²)

Evaluate the area of the entire circle

a = π(1.8cm²)

a = π(3.24cm)

a = 10.179cm²

Area of a sector, with the area of the circle of the sector being a = theta/360 * a

Evaluate the area of the sector

180/360*10.719cm²

0.5 * 10.179cm²

5.0895cm²

Round the value up

5.09cm²

3 0
2 years ago
the price of the a tablet was increased from $180 to $207. by what percentage was the price of the tablet increased?
mixas84 [53]
207-180=27
27/180= .15
It was increased by 15%.
3 0
3 years ago
Read 2 more answers
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
denpristay [2]

Answer:

A

Step-by-step explanation:

Your mouse is in the way but that’s what I can tell by looking at the graph

3 0
2 years ago
What is the area of the triangle?<br> 6<br> 2<br> 3
Llana [10]

Answer:

6

Step-by-step explanation:

Find the area of both triangles inside the bigger triangle and add them together.

Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:

a² + b² = c²

2² + b² = 3²

4 + b² = 9

5 = b²

2.2 ≈ b

Calculate the area of the smaller triangle:

1/2(bxh)

1/2(2 x 2.2)

1/2(4.4)

2.2

Calculate the area of the bigger triangle:

<em>We know that the longer leg is 3.8 units because we were able to subtract the length of the smaller triangle's leg from 6. </em>

1/2(bxh)

1/2(2 x 3.8)

1/2(7.6)

3.8

Add both areas to find the area of the largest triangle:

3.8 + 2.2 = 6

7 0
3 years ago
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