Choose the best definition for the following phrase: combining like terms (1 point)

Can someone help. pls

Elan Coil [88]

Answer: 5

Step-by-step explanation:

Pythagorean Theorem = a^2 + b^2 = c^2 (hypotenuse)

the square root of 4^2 + 3^2 = c

c = 5

3 0

3 years ago

Mohit pays rupees 9000 as an amount on the sum of rupees 7000 that he had borrowed for 2 years.

Sphinxa [80]

Answer:

The required rate of interest = 14.285%

Step-by-step explanation:

Here, The principal amount = 7,000

The final paid amount = 9,000

Time = 2 years

Let us assume the rate of interest = R

Now, Simple Interest = Amount - Principal

= 9,000 - 7,000 = 2,000

So, the SI on the given principal for 2 years = 2,000

$\textrm{SIMPLE INTEREST } = \frac{P \times R \times T}{100}\\\implies 2000 = \frac{7,000 \times R \times 2}{100}\\\implies R = \frac{2,000 \times 100}{7,000 \times 2} = 14.285$

or, R = 14.285%

Hence, the required rate of interest = 14.285%

8 0

3 years ago

Please can someone solve this

Crazy boy [7]

Answer:

200.86

Step-by-step explanation:

Using the formulas:

A=πr2

C=2πr

Solving for A:

A=C2

4π=50.242

4·π≈200.85812

I hope this helps.

4 0

3 years ago

Give 1 pair of Vertical and 1 pair of Supplementary angles

mojhsa [17]

Solution:

Vertical angles are a pair of opposite angles formed by intersecting lines. re vertical angles. Vertical angles are always congruent.

These two angles (140° and 40°) are Supplementary Angles because they add up to 180°:

Notice that together they make a straight angle.

Hence,

From the image

The following pairs form vertical angles

$\begin{gathered} \angle1=\angle3(vertical\text{ angles)} \\ \angle2=\angle4(vertical\text{ angles)} \\ \angle5=\angle7(vertical\text{ angles)} \\ \angle6=\angle6(vertical\text{ angles)} \end{gathered}$

Hence,

One pair of the vertical angles is ∠1 and ∠3

Part B:

Two angles are said to be supplementary when they ad together to give 180°

Hence,

From the image,

The following pairs are supplementary angles

$\begin{gathered} \angle5+\angle6=180^0(supplementary\text{ angles)} \\ \angle5+\angle8=180^0(supplementary\text{ angles)} \\ \angle7+\angle8=180^0(supplementary\text{ angles)} \\ \angle6+\angle7=180^0(supplementary\text{ angles)} \\ \angle1+\angle2=180^0(supplementary\text{ angles)} \\ \angle1+\angle4=180^0(supplementary\text{ angles)} \\ \angle2+\angle3=180^0(supplementary\text{ angles)} \\ \angle3+\angle4=180^0(supplementary\text{ angles)} \end{gathered}$

Hence,

One pair of supplementary angles is ∠5 and ∠6

8 0

1 year ago

The area of the city of Vancouver is 115 km^2. if the shape of Vancouver is approximately a square, how wide is the city of Vanc

Dmitry [639]

Answer:

The wide of the city is 10.7km

Step-by-step explanation:

To solve this we first have to know the formula to calculate the area of a square

a = area = 115 km²

s = side

a = s * s

now we replace with the known values

115 km² = s * s

115 km² = s²

√(115 km²) = s

10.724km = s

Round to the nearest tenth

s = 10.724km = 10.7km

The wide of the city is 10.7km

5 0

3 years ago