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3 years ago

the mearsure of a triangle are in the ratio 2:3:4 in degrees what is the largest angle in the triangle

Mathematics

1 answer:

SOVA2 [1]3 years ago

5 0

Answer:

Step-by-step explanation:

Since the three angles of a triangle add to give 180°

The the size of the largest angle 4 = 180° ×

= 180° ×

∴ the size of the largest angle = 80°

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andrew11 [14]

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3 years ago

Find the equation of the line

Elis [28]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 2 ← is in slope- intercept form

with slope m = 6

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{6}$ , thus

y = - $\frac{1}{6}$ x + c ← is the partial equation

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6 0

3 years ago

A certain bacteria culture grows at a rate of 18% everyday. There are currently 420 bacteria. How many bacteria will there be on

spayn [35]

In this question, it is given that

A certain bacteria culture grows at a rate of 18% everyday. There are currently 420 bacteria.

And we have to find number of bacterias on day *.

For that we use the following formula

$N(t) =N_{0} (1 +r)^t$

$N(0)= 420, r = 0.18 , and \ t = 8days$

Substituting these values in the formula, we will get

$N(8)= 420(1+0.18)^8
\\
N(8)=1579$

THerefore on day 8, number of bacterias are 1579.

4 0

3 years ago

Read 2 more answers

The amount of icing on a Cuppie Cake large cupcake follows a Normal distribution, with a mean of 2 ounces and a standard deviati

TiliK225 [7]

Answer: the probability the mean weight will exceed 2.1 ounces is 0.09

Step-by-step explanation:

Let x be the random variable representing the amount of icing on a Cuppie Cake large cupcake. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = standard deviation

n = number of samples

From the information given,

µ = 2

σ = 0.3

n = 16

x = 2.1

the probability that the mean weight will exceed 2.1 ounces is expressed as

P(x ≥ 2.1)

For x = 2.1

z = (2.1 - 2)/(0.3/√16) = 1.33

We would determine the probability for the area above z = 1.33 from the normal distribution table. It would be

p = 1 - 0.91 = 0.09

P(x ≥ 2.1) = 0.09

6 0

3 years ago

If $2940 is invested at 3.2% compounded quarterly, how much is in the account after 8 years?

tino4ka555 [31]

Answer:

The future value is $3793.776

Step-by-step explanation:

Given

$PV = 2940$ --- present value

$r = 3.2\%$ --- rate

$t = 8$ --- time

$n = 4$ --- quarterly

Required

Determine the future value

This is calculated using:

$FV = PV(1 + \frac{r}{n})^{nt$

So, we have:

$FV =2940 * (1 + \frac{3.2\%}{4})^{4*8$

$FV =2940 * (1 + \frac{3.2}{400})^{32$

$FV =2940 * (1 + 0.008)^{32$

$FV =2940 * (1.008)^{32$

$FV =2940 * 1.2904$

$FV =3793.776$

3 0

2 years ago

the mearsure of a triangle are in the ratio 2:3:4 in degrees what is the largest angle in the triangle​

the mearsure of a triangle are in the ratio 2:3:4 in degrees what is the largest angle in the triangle