Six times a number is equal to eight more than five times the number

If the measurment of the angles of a triangle are 3b,2b,and 4b then what is the smallest angle

d1i1m1o1n [39]

Given:

The measurement of the angles of a triangle are 3b,2b,and 4b.

To find:

The smallest angle.

Solution:

According to the angle sum property, the sum of all angles of a triangle is 180 degrees.

$3b+2b+4b=180^{\circ}$ [Angle sum property]

$9b=180^{\circ}$

Divide both sides by 9.

$b=20^{\circ}$

Now,

$3b=3(20^{\circ})=60^{\circ}$

$2b=2(20^{\circ})=40^{\circ}$

$3b=4(20^{\circ})=80^{\circ}$

Therefore, the smallest angle is 40 degrees.

6 0

2 years ago

Suppose you are asked to find the area of a rectangle that is 2.1-cm wide by 5.6-cm long. Your calculator answer would be 11.76

yKpoI14uk [10]

Answer:

12 cm²

Step-by-step explanation:

Length of rectangle = 5.6 cm

Width of rectangle = 2.1 cm

Area of rectangle = Length of rectangle×Width of rectangle

⇒Area of rectangle = 5.6×2.1

⇒Area of rectangle = 11.76 cm²

11.76 has 4 significant figures in order to write this term in 2 significant terms we round of the term

The last digit in the decimal place is 6. Now, 6≥5 so we round the next digit to 8 we get

11.8

Now the last digit in the decimal place is 8. Now, 8≥5 so we round the next digit to 2 we get

12

∴ Hence the area of the rectangle when rounded to 2 significant figures is 12 cm²

5 0

2 years ago

What do you notice about the table inputs for the graph of √x?

Airida [17]

Answer:

See below

Step-by-step explanation:

When we talk about the function $f(x)=\sqrt{x}$ , the domain and codomain are generally defaulted to be subsets of the Real set. Once $f:[0,\infty)\to [0,\infty)$ and $f\subseteq [0,\infty)\times [0,\infty)$ such that $(x,y_1)\in f\wedge(x,y_2)\in f \Rightarrow y_1=y_2$ for $f(x)=\sqrt x$ . Therefore,