we know the angle is between 90° and 180°, 90° < θ < 180°, that means the angle is in the II Quadrant, where the sine is positive and the cosine is negative, with that info, let's find check a few things
[tex]sin(\theta )=\cfrac{\stackrel{opposite}{3}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - 3^2}=a\implies \pm\sqrt{16}=a\implies \pm 4 = a\implies \stackrel{II~Quadrant}{-4=a} \\\\[-0.35em] ~\dotfill[/tex]
[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{-4}}{\underset{hypotenuse}{5}} \\\\\\ tan\left(\cfrac{\theta}{2}\right)\implies \cfrac{sin(\theta)}{1+cos(\theta)}\implies \cfrac{ ~~ \frac{3}{5} ~~ }{1-\frac{4}{5}}\implies \cfrac{ ~~ \frac{3}{5} ~~ }{\frac{1}{5}}\implies \cfrac{3}{5}\cdot \cfrac{5}{1}\implies 3[/tex]
If 5 times a certain number is 40, and 9 times the same number is 72, how would you find 59 times that number? A)400 + 72 B)40 + 72 C)40 × 72 D)400 + 720 pls tell answer urgently.
Answer:
A) 400 + 72
Step-by-step explanation:
Let the certain number be denoted by x.
⇒ 5x = 40 [Equation 1]
⇒ 9x = 72 [Equation 2]
Multiply Equation 1 by 10 :
⇒ 10(5x) = 40(10)
⇒ 50x = 400 [Equation 3]
Finding the sum of Equation 2 and Equation 3 :
⇒ 50x + 9x = 400 + 72
⇒ 59x = 400 + 72
Hence, 59 times a certain number is represented by : 400 + 72
once again you can earn free easy points just by answering this simple question :)
Answer:
D Rotainon.
Step-by-step explanation:
The shape is flipped.
2 There are 40 students in class six. 30% of them are girls. (i) How many are girls? (ii) How many are boys?
Answer:
12 girls
28 boys
Step-by-step explanation:
Multiply 40 by 30/100 to get 12 girls.
Subtract 12 from 40 to get 28 boys.
What is the value of this expression?
48−{(18+12)÷6}×2
8
14
38
86
Math help can’t solve please
Answer:
See below
Step-by-step explanation:
a) 43.8 - 38 = 5.8 yrs
b) SD = 8.9 yrs 5.8 / 8.9 = .6517 SD below the mean
(A z score merely shows how many standard deviations a score (age) is above or below the mean in SD units)
c) Z = - .6517 Negative because it is BELOW the mean ( FYI from z-score table: this is .2578 in percentage )
d) usual ( it (-.6517) is between -2 and + 2 )
2 How many 1.2-kg books can you pack into a suitcase so that the total weight does not exceed 36 kg?
Answer:
30 books
Step-by-step explanation:
36 / 1.2 = 30
You can pack 30 books and it will not exceed 36 Kg.
- - -
Side Note:
We don't know how heavy the suitcase is...
You had $21 to spend on eight notebooks. After buying them you had $5. How much did each notebook cost?
Answer:
each notebook costs $2
Step-by-step explanation:
21-5=16/8=$2
Find the value of y…
Answer:
y = 94
Step-by-step explanation:
Linear Pair:
The two adjacent angles whose non common arms form a straight line is called linear pair. They add up to 180
2x + 36 = 180 {linear pair}
2x = 180 - 36
2x = 144
2x = 144°
Sum of all angles of a n-sided polygon = (n-2)*180
= ( 6-2)*180
= 4 * 180
= 720
y + 144 + 111 + 105 + 165 + 101 = 720
y + 626 = 720
y = 720 - 626
[tex]\sf \boxed{y = 94^ \circ}[/tex]
Answer:
94°
Step-by-step explanation:
2x + 36 = 180 (angles on a straight line)
2x = 180 - 36
2x = 144
2x = 144°
Sum of all angles of a n-sided polygon = (n-2)×180 = ( 6-2)×180
= 4 × 180
= 720
y + 144 + 111 + 105 + 165 + 101 = 720
y + 626 = 720
y = 720 - 626
y=94 °
need help with my aleks
Answer:
Below in bold,
Step-by-step explanation:
The angles in a triangle add up to 180 degrees.
So the equation is:
7x + 8 + 4x + x + 4 = 180
12x + 12 = 180 <-------- Required equation
12x = 168
x = 14.
m< L = 14 + 4 = 18 degrees
m< M = 7(14) + 8 = 106 degrees
m< N = 4(14)= 56 degrees
Need help please and thank you
Answer:
no thank you
Step-by-step explanation:
lol good day
How many fluid ounces are there in 3 pints and 8 fluid ounces?
Answer:
56
Step-by-step explanation:
((3*2)+1)*8
Answer:
1 pint equals 16 ozs. so the answer in 48
I need help please ASAP??!!
Answer:
i got you the answer is .....
Step-by-step explanation:
there you go
please find the value of x .
Step-by-step explanation:
that was just answered with the last question, where you asked for the help here ...
x = 50°.
In the figure below, QRT and SRV are complementary.
What is the value of x?
Davis paid $250 for a sneaker and there is a 33% advertised discount. How much is the discount?
Answer:
152.5
Step-by-step explanation:
I think that might be the answer ( im not that good at math )
Jackie is a student of UEW. This year, her age is a multiple of 6. Next year, her age will be a multiple of 5. If Jackie is younger than 40, how old will she be next year?
Using the multiples of 5 and 6, it is found that she will be 25 years old next year.
What are the multiples of 5 and 6?They are given as follows, considering numbers less than 40:
M(5) = {0, 5, 10, 15, 02, 25, 30, 35}.M(6) = {0, 6, 12, 18, 24, 30, 36}.This year, her age is a multiple of 6. Next year, her age will be a multiple of 5, hence, her age next year is a multiple of 5, whose predecessor is a multiple of 6, hence the only option is that she will be 25 years old next year.
More can be learned about multiples at https://brainly.com/question/251701
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Write a slope-intercept equation for a line that passes through (-3, 5.5) and (0, 5.5)
The slope-intercept equation for the line is
(Use integers or decimals for any numbers in the equation.)
Answer:
y-5.5=0 * (x+3)
Step-by-step explanation:
what is the positive solution of 3x^2-10-8=0?
Answer:
x=4
Step-by-step explanation:
I'm going to assume the question has a typo and that the question is actually [tex]3x^2 -10x-8=0[/tex].
You can simplify this to:
[tex](3x+2)(x-4)=0[/tex]
This leaves the solutions [tex]x=-\frac{2}{3}[/tex] and x=4
The only positive solution therefore is x=4
Answer:
The answer is 4
Step-by-step explanation:
Use the improved quadratic formula (https://socratic.org/algebra/quadratic-equations-and-functions/quadratic-formula)
D=d^2=b^2-4ac=100+96=196⇒d±14
There are 2 real roots: x=-b/2a±d/2a=10/6±14/6=5/3±7/3
The positive real root is : 12/3=4
If you complete the square in the quadratic equation , you get the quadratic formula for the solutions x _______.
Answer:
[tex]D. \ \ x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]
Step-by-step explanation:
ax² + bx + c = 0
[tex]a\left( x^{2}+\frac{b}{a} x+\frac{c}{a} \right) =0[/tex]
[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}}{4a^2}+\frac{c}{a} \right) =0[/tex]
[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a^2}\right) =0[/tex]
[tex]a\left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a}=0[/tex]
[tex]a\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a}[/tex]
[tex]\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a^2}[/tex]
[tex]x+\frac{b}{2a} =\frac{\pm \sqrt{b^{2}-4ac} }{2a}[/tex]
[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]
Pls help urgent i will marke the brainlist
Answer:
Yes, because 8n + 4 = 4(2n + 1) because of the distributive property. And about the 4 = 52 - 8n, that is also equivalent to the rest of them because of the associative property.
OR
You could just solve the math and show that they are equivalent.
Laticia randomly selected 25% of the seventh grade students in her school and asked them what their favorite season was. Of the students surveyed, 51 chose summer as their favorite season. Based on this data, approximately how many seventh grade students in the whole school?
Answer:
1000
Step-by-step explanation:
can anyone help plssss??
Answer:
42 degrees
Step-by-step explanation:
48+90=138
180-138=42
A rectangular room has a length of 16 ft and a diagonal of 22 ft. What is the approximate
width of the room?
Answer:
no
Step-by-step explanation:
Answer: 15.09967ft
Step-by-step explanation: w=d2﹣l2=222﹣162≈ hope this helps ^^
The ages of Charlotte and Olivia are in the ratio 6:10. After 10 years, their ratio will become 4:6. Find their ages.
Answer:
Charlotte's age = 30 years
Olivia's age = 50 years
Step-by-step explanation:
Present ages of Charlotte & Olivia = 6:10.
Then, their present ages are:
Charlotte = 6x
Olivia = 10x
Now, in 10 years, their ratio = 4:6
Then,
Ratio of Charlotte's & Olivia's present age + 10 years each = Ratio of their ages in 10 years
[tex]\frac{6x + 10}{10x + 10} = \frac{4}{6} \\6(6x + 10) = 4 (10x + 10) \: \: \: \: [\mathrm{cross\: multiplication}]\\36x + 60 = 40x + 40\\36x - 40x = 40 - 60\\4x = 20\\\boxed{\bf\:x = 5}[/tex]
So,
Charlotte's present age [tex]= 6x = 6(5) = {\boxed{\bf\:30 \:years}[/tex]
Olivia's present age = [tex]10x = 10(5) = \boxed{\bf\:50 \: years}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
HELP WITH PROB AND STATS
Use the given data to find the best predicted value of the response variable.
Six pairs of data yield r= 0.344 and the regression equation y = 5x + 2. Also, y = 18.3
What is the best predicted value of y for x = 5? Use a = 0.05.
Is it impossible, unlikely, likely, or certain that you will blink in the next two minutes?
Answer:
you would have to very good at not blinking to but if your not I suggest not to because it will hurt also why not try to test it out ;)
Step-by-step explanation:
What is the equation of the line written in slope-intercept form that passes through the point (-1, 5) and is parallel to the line y = -2x – 5?
Answer:
Step-by-step explanation:
y - 5 = -2(x + 1)
y - 5 = -2x - 2
y = -2x + 3
Please help need urgent
Convert the cm to feet for the base and the height:
12/2 = 6 x 3 = 18 feet
9/2 = 4.5 x 3 = 13.5 feet
area = 1/2 x base x height
Area = 1/2 x 18 x 13.5
Area = 121.5 square feet
answer: 121.5 square feet
Paul reads on a map that 1 inch represents 7 miles. He measures the distance between two spots to be 8.5 inches. What is the real distance?
Answer:
59.5 miles
Step-by-step explanation:
1 in = 7 mi
7 x 8.5 = 59.5
(50 POINTS! PLEASE HELP!) Alang has a bag that contains pineapple chews, strawberry chews, and lime chews.
He performs an experiment. Alang randomly removes a chew from the bag, records
the result, and returns the chew to the bag. Alang performs the experiment 26 times.
The results are shown below:
A pineapple chew was selected 20 times.
A strawberry chew was selected 4 times.
A lime chew was selected 2 times.
Based on these results, express the probability that the next chew Alang removes
from the bag will be lime chew as a fraction in simplest form.
Answer:
1/13
Step-by-step explanation:
Probability (lime chew) :
No. of times lime chew was selected / Number of times experiment was conducted2/261/13The probability that the next chew Alang removes from the bag will be lime chew is 1/13.
What is probability?The likelihood or chance of an event occurring is quantified by probability. It is represented by a number between 0 and 1, with 0 denoting an impossibility and 1 denoting a certainty.
For instance, there is only one outcome (rolling a "6") that result in the desired event, hence the chance of rolling a "6" on a fair six-sided die is 1/6. (rolling a "6"). , there is a 1/6 chance of rolling any other number.
By dividing the number of times a lime chew was chosen by the total number of trials, the likelihood of choosing a lime chew could be computed (26).
The likelihood of choosing a lime chew is; 2/26, which reduces to 1/13 in basic form.
Therefore, 1/13 is the probability.
To know more about probability visit:
brainly.com/question/13604758
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