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3 years ago

In a right angled triangle, the two sides forming a right angle measure 8cm and 6cm. Area of this triangle is

Mathematics

2 answers:

Solnce55 [7]3 years ago

5 0

<h3>Answer: 24 square cm</h3>

Work Shown:

base = 8, height = 6

area = (1/2)*base*height

area = (1/2)*8*6

area = 0.5*8*6

area = 4*6

area = 24

zhenek [66]3 years ago

5 0

Answer: lenght time height

Step-by-step explanation:

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How do I verify #15 using fundamental trig identities?

expeople1 [14]

We start with the more complicated side which is the left side, and show that, on using some trigonometric identities, we will get the term on the right side .

$\frac{sin \theta + tan \theta}{1+cos \theta}$

Using Quotient identity for tangent function, we will get

$\frac{sin \theta+ \frac{sin \theta}{cos \theta}}{1+cos \theta}$

$\frac{sin \theta cos \theta + sin \theta}{cos \theta(1+cos \theta)}$

Taking out sine function from the numerator

$=\frac{sin \theta(1+cos \theta)}{cos \theta(1+cos \theta)}$

Cancelling the common term of numerator and denominator

$=\frac{sin \theta}{cos \theta} = tan \theta$

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2 years ago

Sam the Hummingbird flies at a rate of 2 yards per minute, as modeled by the equation y = 2x. She

daser333 [38]

Answer:

See attachment for plot

Step-by-step explanation:

Given

$y =2x$

$R =+2$ --- increment in the rate

First, we need to model the new rate

A linear equation is:

$y = mx + b$

Where

$m = rate$

Compare $y =2x$ and $y = mx + b$ . we have:

$m =2$

The above represents the previous rate.

The new rate:

$R =+2$

Rewrite as:

$R = m+2$

$R = 2+2$

$R = 4$

So, the model is:

$y = Rx$

$y = 4x$

The plot at 1 and 2 minutes

When $x = 1$

$y = 4x = 4 * 1 = 4$

When $x = 2$

$y = 4x = 4 * 2 = 8$

So, we have:

$(x_1,y_1) =(1,4)$

$(x_2,y_2) =(2,8)$

Whether she moves backwards or forward, the distance covered remains the same

See attachment for plot

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2 years ago

The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another eleme

kow [346]

Answer:

The correct solution is "4.6".

Step-by-step explanation:

Given:

Interest rate,

r = 6.2%

or,

= 0.062

Amount,

A = 100000

Principle,

P = 76000

As we know,

⇒ $A=P(1+\frac{r}{100} )^n$

On substituting the values, we get

⇒ $100000=76000(1+\frac{6.2}{100} )^n$

⇒ $(1+0.062)^n=\frac{100}{76}$

On taking log both sides, we get

⇒ $n \ log_e(1.062)=log_e(\frac{100}{76} )$

⇒ $n=\frac{ln(\frac{100}{76} )}{ln(1.062)}$

By putting the values of log, we get

⇒ $=4.5622$

or,

⇒ $=4.6$

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2 years ago

Answers: A. 2 B. 2/3 C. 1/2 D. 1/4

laila [671]

Answer:

A. 2

Step-by-step explanation:

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2 years ago

Read 2 more answers

I want to know the distance

DiKsa [7]

here's the answer to your question

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3 years ago