Please answer this question and thank you for your help

Q.1. Base and height if a parallelogram 12 cm and 8 cm respectively. Find its area.

irakobra [83]

Answer:

Area of the parallelogram is 96 $cm^{2}$ .

Step-by-step explanation:

A parallelogram is a quadrilateral with parallel and equal length of opposite sides. The diagonals are perpendicular to each other.

Area of a parallelogram is given as,

Area = base x height

Thus for the given parallelogram with base 12 cm and height 8 cm, the area would be;

Area = base x height

= 12 x 8

= 96

Area = 96 $cm^{2}$

The area of the parallelogram is 96 $cm^{2}$ .

3 0

3 years ago

Professor Vinculum investigated the migration season of the Bulbul bird from their natural wetlands to a warmer climate. He foun

coldgirl [10]

The population of the Bulbul birds at the start of the migration season is 1800.

<h3>Exponential function</h3>

An exponential function is given by:

y = abˣ

Let y, x are variables, a is the initial value and b is the multiplication factor.

Let P be the population of the bird t days since the start of the migration season.

$P=1350+400(1.25)^{-t}\\\\At\ the\ start\ of\ the\ season(t=0):\\\\P=1350+400(1.25)^{-0}\\\\P=1350+450=1800$

The population of the Bulbul birds at the start of the migration season is 1800.

Find out more on Exponential function at: brainly.com/question/12940982

8 0

2 years ago

The first term of a geometric sequence is 6 and the fourth term is 384. What is the sum of the first 10 terms of the correspondi

aleksandrvk [35]

Answer:

2097150

Step-by-step explanation:

GIVEN :-

First term of G.P. = 6
Forth term of G.P. = 384

TO FIND :-

Sum of first 10 terms of the G.P.

CONCEPT TO BE USED IN THIS QUESTION :-

Geometric Progression :-

It's a sequence in which the successive terms have same ratio.

General form of a G.P. ⇒ a , ar , ar² , ar³ , ....... [where a = first term ; r = common ratio between successive terms]

Sum of 'n' terms of a G.P. ⇒ $\frac{a(r^n - 1)}{r-1}$ .

[NOTE :- $\frac{a(1-r^n)}{1-r}$ can also be the formula for "Sum of n terms of G.P." because if you put 'r' there (assuming r > 0) you'll get negative value in both the numerator & denominator from which the negative sign will get cancelled from the numerator & denominator. YOU'LL BE GETTING THE SAME VALUE FROM BOTH THE FORMULAES.]