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2 years ago

What is the algabric way to find the area of a triangle

1 answer:

4 0

The parameters for computing the area of triangle is first listed out and the expression for the area of triangle was used to find the algebraic method

<h3>Area of Triangle</h3>

Parameters for find the area of triangle are

Base

Height

Let the base be x, and let the height be y

We know that the expression for the area of triangle is given as

Area = 1/2 (Bass* Height)

Substituting our parameters we have

Area = 1/2*x*y

Learn more about area of triangle here:

brainly.com/question/17335144

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Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.

sweet-ann [11.9K]

Answer:

x = 10 $\sqrt{3}$ , y = 10

Step-by-step explanation:

Using the sine/ cosine ratios in the right triangle and the exact values

sin60° = $\frac{\sqrt{3} }{2}$ , cos60° = $\frac{1}{2}$ , then

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{20}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2x = 20 $\sqrt{3}$ ( divide both sides by 2 )

x = 10 $\sqrt{3}$

and

cos60° = $\frac{adjacent}{hypotenuse}$ = $\frac{y}{20}$ = $\frac{1}{2}$ ( cross- multiply )

2y = 20 ( divide both sides by 2 )

y = 10

4 0

3 years ago

Equation in slope intercept form between points (1,-4) and (0,6)?

Vinvika [58]

Find the gradient:
m = y2-y1 / x2-x1
m = 6-(-4) / 0-1
m = 10 / -1
m = -10

Slope intercept form:
y = mx + c

Input the values from one of the points to find c (imputing (1,-4) to y=mx+c):
-4 = -10(1) + c
-4 = -10 + c
c = -4 + 10
c = 6

Therefore, the equation is:
y = -10x + 6

7 0

3 years ago

Can someone please answer this ? * will mark as brainiest *

Lena [83]

Answer:

pq= 12 cm

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The original price of a marker is $5.00 What will the new price be after a<br> 15% increase ? *

masya89 [10]

Answer:

5.75

Step-by-step explanation:

for a 15% increase, you multiply 5.00 x 1.15. you then get 5.75. hope this helps!

3 0

3 years ago

Read 2 more answers

A fair coin is to be tossed 20 times. Find the probability that 10 of the tosses will fall heads and 10 will fall tails, (a) usi

lbvjy [14]

Using the distributions, it is found that there is a:

a) 0.1762 = 17.62% probability that 10 of the tosses will fall heads and 10 will fall tails.

b) 0% probability that 10 of the tosses will fall heads and 10 will fall tails.

c) 0.1742 = 17.42% probability that 10 of the tosses will fall heads and 10 will fall tails.

Item a:

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.

In this problem:

20 tosses, hence $n = 20$ .
Fair coin, hence $p = 0.5$ .

The probability is <u>P(X = 10)</u>, thus:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{20,10}.(0.5)^{10}.(0.5)^{10} = 0.1762$

0.1762 = 17.62% probability that 10 of the tosses will fall heads and 10 will fall tails.

Item b:

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.
After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
The binomial distribution is the probability of <u>x successes on n trials, with p probability</u> of a success on each trial. It can be approximated to the normal distribution with $\mu = np, \sigma = \sqrt{np(1-p)}$ .

The probability of an exact value is 0, hence 0% probability that 10 of the tosses will fall heads and 10 will fall tails.

Item c:

For the approximation, the mean and the standard deviation are:

$\mu = np = 20(0.5) = 10$

$\sigma = \sqrt{np(1 - p)} = \sqrt{20(0.5)(0.5)} = \sqrt{5}$

Using continuity correction, this probability is $P(10 - 0.5 \leq X \leq 10 + 0.5) = P(9.5 \leq X \leq 10.5)$ , which is the <u>p-value of Z when X = 10.5 subtracted by the p-value of Z when X = 9.5.</u>