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Ivenika [448]
3 years ago
13

="absmiddle" class="latex-formula">
Mathematics
1 answer:
Natalija [7]3 years ago
5 0

Answer:

Step-by-step explanation:

n² + 3n - 18 = 0

n = [-3 ±√(3²-4(1)(-18)]/[2(1)] = [-3 ±√81]/2 = 3, -6

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Help please<br>Mark as brainliest
34kurt
You need to use this formula:
([a]/[sinA])=([c]/[sinC])-I am going to use 'a' for the x, and 'c' for 16(square root of 3)
Now its just getting 'a' by itself.
([c] times [sinA])/([sinC])=[a]
[c]=16 square root of 3
sinA=sin(60)=(square root of 3)/2
sinC=sin(90)=1

Plug it in to get 24 for a, or x. Do the same to figure out y with the new sides.
The final y is:
8 square root of 3
Final answer is C.
8 0
3 years ago
Jayla drove 7 5/12 kilometers to the post office and 8 1/24 kilometers to a restaurant. What expression can be used to determine
exis [7]

Answer: 7 5/12  + 8 1/24  

Step-by-step explanation:

Hi, to answer this question we simply have to add both distances driven by Jayla:

Distance driven to the post office = 7 5/12 kilometers

Distance driven to the restaurant= 8 1/24 kilometers

Mathematically speaking:

7 5/12 km + 8 1/24 km  

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
Write the rule for finding the coordinates of a point’s 90⁰ clockwise rotation about the origin.
olga nikolaevna [1]
(x,y) -> (y,-x)

hope that help

4 0
3 years ago
A tin of biscuits contains shortbread and choc-chip biscuits in the ratio 2:3 . The tin contains 80 biscuits. How many short-bre
Aleksandr [31]

Answer:

32

Step-by-step explanation:

There are 80 biscuits inside the tin.

Also, they said that those biscuits are in the ratio

Short bread    :      Choc - chip

          2          :        3

Altogether there are 5 shares ( 2 + 3)

And now you can divide 80 by 5 to find how many biscuits contain per a share.

80 ÷ 5 = 16

In the question, they asked us to to find the number of short biscuits inside the tin.

Let us find that.

There are 2 shares for short bread biscuits.

So,

Number of short biscuits ⇒ 2 × 16

                                         ⇒ 32

Hope this helps you :-)

5 0
2 years ago
The equation tan(x- pi/3) is equal to _____.
kherson [118]

Answer:

B

Step-by-step explanation:

Using the expansion

tan(x - y) = \frac{tanx-tany}{1+tanxtany}, then

tan(x - \frac{\pi }{3})

=  \frac{tanx-tan(-\frac{\pi }{3}) }{1+tanxtan(-\frac{\pi }{3}) }

note that tan( -\frac{\pi }{3}) = - tan(\frac{\pi }{3}) = - \sqrt{3}

= \frac{tanx-(-\sqrt{3}) }{1+tanx(-\sqrt{3}) }

= \frac{tanx+\sqrt{3} }{1-\sqrt{3}tanx } → B

6 0
3 years ago
Read 2 more answers
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