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podryga [215]
3 years ago
9

I need help and please explain how to actually solve these please! Thankyou

Mathematics
1 answer:
Bezzdna [24]3 years ago
7 0
Realize the tangent function has a period of 180°, so when your calculator (or memory) tells you
.. θ = arctan(-1)
.. θ = -45°
you can translate that value into the desired range by adding multiples of 180° to get the two solutions ...
.. θ = 135°
.. θ = 315°
You might be interested in
-6x + 5y = 1<br> 6x + 4y = –10
Firlakuza [10]

Answer:

x=-1

y=-1

Step-by-step explanation:

-6x + 5y =1 ......equation (1)

6x + 4y = –10 ......equation (2)

adding equation (1) to equation (2)

9y=-9

9y/9 =-9/9 (dividing both side by the coefficient of y)

y=-1

subtituting the value of y =-1 into equation (2)

6x+4(-1)=-10

6x+(-4)=-10

6x-4=-10

6x=-10+4(making constant to be at one side and the variable at the other side)

6x=-6

x=-6/6

x=-1

8 0
3 years ago
A chemist has 10% and 40% solutions of acid available. How many liters of each solution should be mixed to obtain 120 liters of
kaheart [24]

Answer:

100 liters of  10% solution is used and 20 liters of  40% solution is used

Step-by-step explanation:

Let "X" amount of 10% solution is used. Then the amount of 40% solution used is equal to 120-X

Now

10% of X + 40% of (120-X) = 15% of 120

On solving the above equation, we get

0.1 X + 0.4 (120-X) = 0.15 *120\\0.1 X + 48 -0.4X = 18\\0.3 X = 30\\X = 100liters

Amount of 40% solution used  = 120 -X = 120-100 = 20 liters

100 liters of  10% solution is used and 20 liters of  40% solution is used

7 0
2 years ago
What is the answer for 14a³ - 22a we have to Factorise it​
sveta [45]

Answer: 2a (7a² - 11).

5 0
2 years ago
Read 2 more answers
What is the volume of the cone to the nearest cubic millimeter? (Use ​π = 3.14)
rjkz [21]

Answer:

given:

height[h]=8mm

radius [r]=5mm

Now,

Volume of cone=1/3 πr²h=⅓×3.14×5²×8=209mm³

<u>C) 209 </u><u>mm³</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u>

3 0
3 years ago
Read 2 more answers
Blakes goes from averaging 8 hours of sleep for a school night to averaging 6.5 hours of sleep on the weekend. What is the perce
beks73 [17]

Answer:

Step-by-step explanation:

So Blakes sleep 8 hours per night during the school day

8 hours/night...................................100%

6.5 hours/night...................................?

6.5*100/8=81.25

the change in percentage is 100-81.25=18.75%

the percentage change is 18.75

if it is easier for you, another method is:

8-6.5=1.5 subtract the original amount to the new amount

1.5/8=0.1875 divide by the original amount

0.1875*100=18.75 find the percentage

7 0
3 years ago
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