The correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.
What is the law of cosine?Let there is triangle ABC such that |AB| = a unit, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
[tex]a^2 + b^2 -2ab\cos(\theta) = c^2[/tex]
(c is the opposite side to angle A)
We have been Given any triangle ABC with corresponding side lengths a, b, and c.
In the given triangle ABC, the sides are;
BC = a, AB = b and AC = c
Now we know as per the law of cosines for all three sides of the triangle;
c² = a² + b² - 2ab cosC
a² = b² + c² - 2bc cosA
b² = a² + c² - 2ac cosC
Therefore the correct representation of the law of cosines is A. c² = a² + b² - 2ab cos C.
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(a-b)^2 = hihihihihi
Answer:
[tex] {a}^{2} - 2ab + {b}^{2} [/tex]
Step-by-step explanation:
too easy:)
Answer:
a^2 - 2ab + b^2
Step-by-step explanation:
(a-b)^2
(a-b)*(a-b)
(a*a)
(a*-b)
(-b*a)
(-b*-b)
a^2-ba-ba+b^2
a^2-2ba+b^2
IF U HELP ME ILL MARK BRAINLIEST
Ill mark you brainlist plz help if you put something random I will report you!
Answer:
3 is the common difference
The next term in the sequence would be 5
Answer:
:)
Step-by-step explanation:
[tex]-10, -7, -4, -1, 2, 5,[/tex]
Common difference = +3
Next term = 2 + 3 = 5
What is the fraction between 6/4 and 7/4 when subtracted
Answer:
-1/4
Step-by-step explanation:
we always keep the denominator the same if they are the same number and I just subtracted the numerator
A pet store donated a percent to very sale to hospitals. The total sales were $9,925 so the store donated $397. WHat percent of $9,925 was donated to hospitals
Answer:
4%
Step-by-step explanation:
[tex]\frac{part}{entirety} *100[/tex]
[tex]\frac{397}{9925} *100 =4[/tex]
I need help answering this question
PLEASE HELP I NEED THE ANSWER THANK YOU
Answer:
B
Step-by-step explanation:
HELP 25 POINTS GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT !
Fill in the the table Use the two-way frequency table to complete the two-way relative frequency table which shows the distribution of data with respect to all types of
books. Round your answers to the nearest whole percent
Answer:
Grade 7 -
Fiction: 33%
Non-Fiction: 17%
Total: 50%
Grade 8 -
Fiction: 33%
Non-Fiction: 17%
Total: 50%
Total -
Fiction: 33%
Non-Fiction: 17%
Total: 50%
Conclusions: Everything had the same answer, 33%, 17% , and 50%.
Find the difference: 28y − 16y
A.
12y
B.
10y
C.
-44y
D.
-12y
Answer:
A. [tex]12y[/tex]
Step-by-step explanation:
Subtract like normal 28 - 16 = 12
so then it's 12y
State the amplitude and period of f(x) = 3cos9/5t
Answer:
The amplitude is 3 and the period is 10π/9.
Step-by-step explanation:
The standard cosine function is in the form:
[tex]y=a\cos(b(x-c))+d[/tex]
Where |a| is the amplitude, 2π/b is the period, c is the phase shift, and d is the vertical shift.
We have the function:
[tex]f(x)=\displaystyle 3\cos\frac{9}{5}t[/tex]
We can rewrite this as:
[tex]\displaystyle f(x)=(3)\cos\left(\frac{9}{5}\left(t-0\right)\right)-(0)[/tex]
Therefore, a = 3, b = 9/5, c = 0, and d = 0.
Hence, our amplitude is |3| = 3.
Our period will be:
[tex]\displaystyle \text{Period}=\frac{2\pi}{9/5}=2\pi \cdot \frac{5}{9}=\frac{10\pi}{9}[/tex]
What is the slope of a line parallel to the line whose equation is
x + 2y = 10. Fully simplify your answer.
Answer:
The required slope is equal to -1/2.
Step-by-step explanation:
The given equation of line is :
x + 2y = 10
A line parallel to this line has the same slope. To determine the slope, solve for y to change the equation to slope-intercept form:
y = mx+b .....(1)
2y = 10 -x
Dividing both sides by 2.
[tex]y=(-\dfrac{1}{2})x+10[/tex] ....(2)
Comparing equations (1) and (2),
m = -1/2
Hence, the required slope is equal to -1/2.
15/x=10/2
Find x please
Answer:
x=3
Step-by-step explanation:
15/x=10/2
Simplifying the right side
15/x = 5
Multiply each side by x
15/x *x = 5x
15 = 5x
Divide each side by 5
15/5 = 5x/5
3 =x
62.4g of sugar is needed to make 8 cakes. How much sugar is needed for 9 cakes?
Answer:
7.8 for 1 cake so add that to your total
Step-by-step explanation:
25 POINTS GIVING BRAINLIEST TO WHOEVER ANSWERS UT RIGHT!!A right triangle has hypotenuse with a length of 13 cm. The length of one leg is 5 cm. What is the area of the triangle?
A.65
B.60
C.32.5
D.30
Answer:
Hello! answer: 30
Step-by-step explanation:
13 × 13 = 169
5 × 5 = 25
169 - 25 = 144
12 × 12 = 144 therefore 12 is the missing leg
so we will use this to find the area so...
12 × 5 = 60 60 ÷ 2 = 30 therefore the answer is 30 hope that helps!
A bag contains 4 yellow, 2 red, and 6 green marbles. two marbles are drawn. the first is replaced before the second is drawn. a random variable assigns the number of red marbles to each outcome. calculate the expected value of the random variable.
a. 0.67
c. 0.17
b. 0.56
d. 0.33
Answer:
c. 0.17
Step-by-step explanation:
The bag have 4 + 2 + 6 = 12 balls.
There are 2 red marbles, in 12, the probability to take one red is 2/12. Is important to remember that the first marble was replaced before the second outcome, so the chance for the second is also 2/12:
2/12 = 1/6 = 0.1666 ≈ 0.17
The expected value of the random variable that assigns the number of red marbles to each outcome is 0.17.
What is the probability?Probability is used to estimate how likely an event would happen. The probability the event occurs with certainty is 1 and the probability that the event does not occur with certainty is 0.
Expected value = number of red marbles / total number of marbles
2/12 = 0.17
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use the distributive property to simplify the expression 1/5(2a-15b+5/6c)+7b.
Answer:
2/5a + 4b + 1/6c
Step-by-step explanation:
Distribute 1/5 throughout the parentheses (multiply it by each term enclosed in the parentheses) --> this gives you 2/5a -3b + 1/6c + 7bThen you just combine like terms to get your answer. In this case, the only like terms you need to combine are -3b and 7b to get -3b3. If 2x +9 32, then x could be
11.5?
Answer:
Yes
Step-by-step explanation:
We can see step by step how to solve for x, and get 11.5:
2x+9=32
Subtrract the 9 from both sides. You should always try to get the number on one side, and the variable on the other:
2x+9-9=32-9
=
2x=23
In the end, once the number values are on one side, and the variable value on the other, you want you varaible to be 1.
When I mean 1, I mean you want 1x, or just x.
Here we see 2x=23, meaning we need to divide both sides by 2, to get 1x:
2x/2=23/2
=
x=11.5
So x equals 11.5, and you were correct.
Hope this helps!
Help please someone
Answer: step by step explanation
it's just that you have to multiply the number under root and it's any number is square then you can take it out of root.
⚠️❗️⚠️❗️⚠️❗️10 POINTS PLEASE HELP ASAP I NEED THE ANSWER TO THE PROBLEM ANSWERED BELOW ⚠️❗️⚠️❗️⚠️❗️
What is the area❓ No links or troll answers you’ll be reported
Answer:
Step-by-step explanation:
so you have 2 rectangles and you first need to find what the area is for the side opposite 25 which is 9 because the 2 9's are the same as the missing number.
now 16x9=144
and 9x9x9=729
725x25=18225
hope that helps
have a great day/night
19NBoli
What multiplies to 18 and sums up to negative 19
Answer:
-18 and -1
Step-by-step explanation:
(-18) + (-1) = -19
(-18) × (-1) = 18
which function represents the sequence? A.f(n) =n+3 B.f(n)=7n-4 C.f(n)=3n+7 D.f(n)=n+7
Answer:
f( n ) = 7 n - 4
Step-by-step explanation:
Terms : 3,10 , 17, 24, 31
Means this = [tex]a_{1}[/tex] = 3
The differences:
d = 10-3=7
our term of the sequence =
f( n ) = 7 n - 4
a park is 9/10 mile long and 4/5 mile wide. What is the area of the park? ENTER ANSWER AS A FRACTION FOR EXAMPLE: 4/10.
The park formed like a rectangle so :
Area = length × width
Area = ( 9/10 ) × ( 4/5 )
Area = 9 × 4 / 10 × 5
Area = 9 × 2 × 2 / 5 × 5 × 2
Area = 18 / 25
pls help me solve this
Answer:
Step-by-step explanation:
5[tex]\frac{5}{6}[/tex] * 4[tex]\frac{1}{2}[/tex]
=5*6+5/6 * 4*2+1/2
=35/6 * 9/2
=35*9/6*2
=315/12
=105/4
=26[tex]\frac{1}{4}[/tex]
In ΔQRS, the measure of ∠S=90°, QS = 12, RQ = 13, and SR = 5. What is the value of the tangent of ∠R to the nearest hundredth?
Answer:
2.40
Step-by-step explanation:
From the triangle QRS
RQ is the hypotenuse 13
QS is the opposite = 12
SR is the adjacent = 5
According to SOH CAH TOA
tan <R = opp/adj
Tan <R = qs/sr
Tan <R = 12/5
Tan <R = 2.40
UHH HELP ME PLS AND I WILL MARK BRAINLIEST
Answer:
First option: 3619.1 cubic centimetres
Step-by-step explanation:
Use this formula for figure out the volume of a cone:
[tex]V=\pi r^2\frac{h}{3}[/tex]
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So:
π × 144 × 8 ≈ 3619.1
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Have a good day :)
What is slope? Describe it and provide an real life example.
Answer:
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Step-by-step explanation:
What are the solutions to the system of equations graphed below? Select all
that apply.
Answer:
A solution to a system of equations is the point(s) where they intersect. Find the ordered pairs where they intersect and you have your answers.
Step-by-step explanation:
What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?
Answer:
(x+7) to the 2nd power + 9
Step-by-step explanation:
a. 4.9
b. 3.7
c. 10.9
what is the slope of (9,9) and (-11,13) ?
Answer: The answer is -0.2 or -1/5
