-25=-5/3u help please

If 2 sides of a triangle measure 6 and 16 find the range for the 3rd side

tangare [24]

Step-by-step explanation:

Range if third side is in between 10-22

Reason:

For the lowest value of third side 16-6= 10

For the highest value if third side 16+6= 22

⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡

8 0

2 years ago

Brenna is going on a backpacking trip with her family. They need to hike to their favorite camping spot and set up the camp befo

Nostrana [21]

Answer:

Latest time for start hiking = 4:57 PM

Step-by-step explanation:

Given:

Time of sunset = 9:26 P.M

Time taken for hiking = 3 hours and 3 minutes (03:03)

Time taken for set up = 1 hour and 26 minutes (1:26)

Find:

Latest time for start hiking

Computation:

Latest time for start hiking = Time of sunset - Time taken for set up - Time taken for hiking

Latest time for start hiking = 9:26 - 1:26 - Time taken for hiking

Latest time for start hiking = 8:00 PM - 03:03

Latest time for start hiking = 7:60 - 03:03

Latest time for start hiking = 4:57 PM

6 0

3 years ago

A 10-year annuity pays $1,850 per month, and payments are made at the end of each month. If the APR is 12 percent compounded mon

Fittoniya [83]

Based on the amount the annuity pays per month and the APR, the value of the annuity today is $133,349.85.

<h3>What is the present value of the annuity?</h3>

First, find the present value of the annuity at 5 years:

= 1,850 x present value interest factor of annuity, 60 months, 8/12%

= 1,850 x 49.32

= $91,242

Then find the present value of the annuity from 5 years till date:

= (1,850 x present value interest factor of annuity, 60 months, 12/12%) + ( 91,242) / (1 + 1%)⁶⁰)

= (1,850 x 44.955) + ( 91,242) / (1 + 1%)⁶⁰)

= $133,349.85

Find out more on the present value of annuities at brainly.com/question/24097261.

#SPJ1

4 0

1 year ago

Rationalize the denominator of sqrt -49 over (7 - 2i) - (4 + 9i)

zubka84 [21]

$\sqrt{ \frac{-49}{(7-2i)-(4+9i) } } 
$

This one is quite the deal, but we can begin by distributing the negative on the denominator and getting rid of the parenthesis:

$\frac{ \sqrt{-49}}{7-2i-4-9i}$

See how the denominator now is more a simplification of like terms, with this I mean that you operate the numbers with an "i" together and the ones that do not have an "i" together as well. Namely, the 7 and the -4, the -2i with the -9i.
Therefore having the result:

$\frac{ \sqrt{-49} }{3-11i}$

Now, the $\sqrt{-49}$ must be respresented as an imaginary number, and using the multiplication of radicals, we can simplify it to $\sqrt{49} \sqrt{-1}$
This means that we get the result 7i for the numerator.

$\frac{7i}{3-11i}$

In order to rationalize this fraction even further, we have to remember an identity from the previous algebra classes, namely: $x^2 - y^2 =(x+y)(x-y)$
The difference of squares allows us to remove the imaginary part of this fraction, leaving us with a real number, hopefully, on the denominator.

$\frac{7i (3+11i)}{(3-11i)(3+11i)}$

See, all I did there was multiply both numerator and denominator with (3+11i) so I could complete the difference of squares.
See how $(3-11i)(3+11i)= 3^2 -(11i)^2$ therefore, we can finally write:

$\frac{7i(3+11i)}{3^2 - (11i)^2 }$

I'll let you take it from here, all you have to do is simplify it further.
The simplification is quite straightforward, the numerator distributed the 7i. Namely the product $7i(3+11i) = 21i+77i^2$ .
You should know from your classes that i^2 = -1, thefore the numerator simplifies to $-77+21i$
You can do it as a curious thing, but simplifying yields the result:
$\frac{-77+21i}{130}$

7 0

3 years ago

A store keeper buys a fishing rod for $20 and sells it for $5 more than he bought it for. express this profit or gain as a perce

nataly862011 [7]

25/20 × 100% = 125%

125% - 100% = 25%

25% profit :)

5 0

3 years ago