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3 years ago

15

If the hypotenuse of a right triangle is 30 cm long and one leg is twice as long as the other, how long are the legs of the tria

ngle?

1 answer:

Talja [164]3 years ago

8 0

30^2=a^2+2(a)^2
900=a^2+4a^2
900=5a^2
180=A^2
6√5=a
a=13.4164cm

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Find a third-degree polynomial function with real coefficients and with zeros at -4 and -3 5i

Charra [1.4K]

If -3+5i is a solution, then by the conjugate root theorem, -3-5i is also a solution. We find the polynomial by multiplying together the factors. If x = -4, then x + 4 is the factor. If x = -3+5i, then (x-(-3+5i)) is a factor, and so is (x-(-3-5i)). Simplifying those down gives us as the first factor as (x+3-5i) and the second as (x+3+5i). We can FOIL those 2 together to get their product, and then FOIL in x+4. FOILing the 2 complex factors together gives us $x^2+3x+15ix+3x+9+15i-15ix-15i-25i^2$ . If we combine like terms and cross out things that cancel it's much easier than what it looks like there! It simplifies down to $x^2+6x-25i^2$ . Since i^2 = -1, it simplifies further to $x^2+6x-25(-1)$ and finally, to $x^2+6x+25$ . Now we will FOIL in x+4. $(x^2+6x+25)(x+4)=x^3+6x^2+25x+4x^2+24x+100$ . Our final simplified third degree polynomial is $x^3+10x^2+49x+100$

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3 years ago

There's are 8 students who have 3/4 of a cake they want to share. How much of the cake will each student get if they spilt it ev

dmitriy555 [2]

Since there are 8 students, each student gets 1/8 of the available cake. Since there is 3/4 of a cake available, they will get 1/8 of 3/4.

Source: https://www.wyzant.com/resources/answers/142015/there_are_8_students_in_a_group_and_3_4_cake_how_much_cake_will_each_student_get_if_divided_evenly

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4 years ago

Read 2 more answers

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zimovet [89]

Answer:3.25

Step-by-step explanation:

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6 0

3 years ago

Read 2 more answers

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d1i1m1o1n [39]

Tabitha Tidbits costs $7 per bag, and Figaro Flakes is $5.50 per bag.
You need to set up a system of equations. Use "x" for Tabitha Tidbits and "y" for Figaro Flakes, and let the total cost of each trip equal c. Using the equation ax+by=c, substitute the cost of each trip in for c, and the number of bags for each food for a and b respectively. The two equations will be:
3x+4y=43
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Isolate x in the first equation and you will get:
x=(43-4y)/3
Substitute the above equation for x into the other equation:
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So the cost of one bag of Figaro Flakes is $5.50
Now substitute this into the equation where you isolated x:
(43-4(5.5))/3
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3 years ago

Cost of article = $455 Percentage of markup (on cost) = 28%

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The cost would be $582.40!

I hope this helped! Mark me Brainliest! :) -Raven❤️

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3 years ago