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3 years ago

Whats the area of the triangle 17in and 12 in?

Mathematics

1 answer:

lutik1710 [3]3 years ago

3 0

Answer:

Area of the triangle =(height x base ) /2

A=(17x12)/2

A=102

the area of the triangle is 102

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Item 9 Write an equation that you can use to find the value of x. Perimeter of triangle: 16 in.

Tanya [424]

Answer:

16 = 3x

Step-by-step explanation

Find the diagram attached.

Perimeter = sum of all its sides

Sum of all its sides= x+x+x

Sum of all its sides = 3x

Given perimeter = 16in

Equating both;

3x = 16

x = 16/3

x = 5.33in

Hence the value of x is 5.33 and the required equation is 16 =3x

6 0

3 years ago

Can anyone help me please

Lapatulllka [165]

Answer:

x= 3 and x= -3

Step-by-step explanation:

x^2 -9 = 0

Factor x^2-9

(x+3)(x-3)

If x+3=0, then x= -3

If x-3=0, then x= 3

5 0

3 years ago

Chai Hu deposited $5500 in a savings account earning 6% interest compound quarterly if he makes no other deposits or withdrawals

Arada [10]

Answer:

5,477.63

Step-by-step explanation:

First, convert R percent to r a decimal

r = R/100

r = 6%/100

r = 0.06 per year,

Then, solve our equation for P

P = A / (1 + r/n)nt

P = 5,500.00 / (1 + 0.06/4)(4)(0.068448)

P = 5,500.00 / (1 + 0.015)(0.273792)

P = $ 5,477.63

Summary:

The principal investment required to get

a total amount of $ 5,500.00

from compound interest at a rate of 6% per year

compounded 4 times per year

over 0.068448 years

is $ 5,477.63.

** i got this from calculator soup

8 0

3 years ago

The head librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books check

Verdich [7]

Answer:

$n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11$

So the answer for this case would be n=11 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma =150$ represent the population standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The confidence interval for this case is given by: (740, 920)

We can find the estimate for the mean and we got:

$\bar X = \frac{740+920}{2} = 830$

and the margin of error is given by :

$ME = \frac{920-740}{2}= 90$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

And on this case we have that ME =90 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11$

So the answer for this case would be n=11 rounded up to the nearest integer

5 0

3 years ago

Find the range of f(x)=-2x+6 for the domain {-1, 3, 7, 9}

velikii [3]

Answer:

8, 0, -8, -12

Step-by-step explanation:

3 0

4 years ago