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Sauron [17]
3 years ago
13

5Ccos%28%20%5Calpha%20%29%20%20%3D%20%20%5Ccos%2830%29%20" id="TexFormula1" title="4 \cos(60 + \alpha ) \sin(30 + \alpha ) \cos( \alpha ) = \cos(30) " alt="4 \cos(60 + \alpha ) \sin(30 + \alpha ) \cos( \alpha ) = \cos(30) " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Yuri [45]3 years ago
5 0

Answer:

i am very bad at o math i am only at 8 sorry

Step-by-step explanation:

if you could give me a brainliest.

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Wade’s grandmother gave him $100 for his birthday. Wade wants to save his money to buy a portable game console. Each month, he a
olga_2 [115]

Answer:

S = 100+25m

Step-by-step explanation:

8 0
2 years ago
The Johnson twins were born eleven years after their older sister. This​ year, the product of the three​ siblings' ages is exact
vodka [1.7K]
So there are 3 siblings: the first twin, the second twin, and their older sister.

Since the sister is older by 11 years, you can represent their relationship with the following equation;
age of twin = age of older sister - 11
t = s - 11

Representing this next part may be a little hard to show, but i'll do my best :)

Adding the ages together can be represented like this;
total age = t + t + s
If the product of their ages ( t * t * s ) is 1181 more than the sum, you can show it like this:
t * t * s = (t + t + s) + 1181
Now you substitute in (s - 11) for t because s = t - 11.
t * t * s = (t + t + s) + 1181\\
(s-11) * (s-11) * s = ((s-11) + (s-11) + s) + 1181\\
(s^{2}-22x+121)*s=s+s-11-11+1181\\
s^{3}-22s^{2}+121s-2s=1159\\
s^{3}-22s^{2}+118s-1159=0
Factor:
Since it's a third-degree equation, I just entered it into a polynomial solver in my calculator. There was only one factor listed, x = 19. Using (s - 19) = 0 as a factor, the equation becomes the following:
s^{3}-22s^{2}+118s-1159=0\\
(s-19)(s^{2}-3s+61)=0
Using the quadratic formula, you get:
s= \frac{-b(+-)\sqrt{b^{2}-4ac}}{2a}\\
s= \frac{-(-3)(+-)\sqrt{(-3)^{2}-4(1)(61)}}{2*1}\\
s= \frac{3(+-)\sqrt{(9)-244}}{2}\\
s= \frac{3(+-)\sqrt{-235}}{2}

Since you have a square root of a negative number, the answer will be imaginary. You cannot have an age that is imaginary, so the age of the older sister (s) is 19 years.

Because t = s - 11, that means that t = (19) - 11 = 8.
t is the age of the twins, so the twins are 8 years old.
8 0
3 years ago
A line includes the points (9, -7) and (-6, -2). What is its equation in slope-intercept form?
Rus_ich [418]

Answer:

y=\frac{-1}{3}x-4

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

<em>m</em> - slope

<em>b </em>- y-intercept

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step 1: Define

Point (9, -7)

Point (-6, -2)

Step 2: Find slope <em>m</em>

<em />m=\frac{-2-(-7)}{-6-9}<em />

<em />m=\frac{-2+7}{-15}<em />

<em />m=\frac{5}{-15}<em />

<em />m=\frac{-1}{3}<em />

y=\frac{-1}{3}x+b

Step 3: Find y-intercept <em>b</em>

<em />-7=\frac{-1}{3}(9)+b<em />

<em />-7=-3+b<em />

<em />-4=b<em />

<em />

Step 4: Write linear equation in slope-intercept form

y=\frac{-1}{3}x-4

8 0
3 years ago
Justin has 50. Pictures in his album
spin [16.1K]

Answer:

im sorry i cant read that

Step-by-step explanation:

its to far away :(

6 0
3 years ago
Thandi deposits 850 into a bank. the bank will pay a simple interest rate of 8% per year. how much money will Thandi get when sh
marusya05 [52]

Answer:

1084.83932813 which you would round to 1085

4 0
2 years ago
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