Answer:
c ≈ 6.08 m
Step-by-step explanation:
Your question is how to solve for a missing side length of a triangle when given 2 sides length and an angle. The side length can be solved using the cosine rule . We use cosine rule to find the length of a side of a triangle when given two sides and an included angle.
The cosine rule formula for finding a side length are as follows
c² = a² + b² - 2ab cosC
b² = a² + c² - 2ac cosB
c² = a² + b² - 2ab cosC
Using cosine rule
c² = 4² + 3² - 2 × 4 × 3 cos 120°
c² = 16 + 9 - 24 cos 120°
c² = 25 - 24 (-0.5)
c² = 25 + 12
c² = 37
square root both sides
c = √37
c = 6.0827625303
c ≈ 6.08 m
Complete questions 6,7,8
Answer:
Step-by-step explanation:
80x^2y=16*5*x^2*y=4^2*x^2*5*y=(4x)^2*5*y
56x^3*y^2=7*8x^3y^2=7*2^3*x^3*y^2=(2*x)^3*7*y^2
81xy^2=9^2y^2x=(9y)^2*x
solve in quadratic formula (show work)
[tex]2x^{2} +5x+1=0[/tex]
Answer:
x= −5±√17/4
Step-by-step explanation:
x more than the square root of 400 is 50.
Answer:
Step-by-step explanation:
x + sqrt(400) = 50
x + 20 = 50
x = 30
The expression 1.01 ⋅ 1.00 5 t 1.01⋅1.005 t 1, point, 01, dot, 1, point, 005, start superscript, t, end superscript gives the amount of money, in thousands of dollars, in Carter's savings account t tt years after he opens it.
Answer:
Step-by-step explanation:
The expression 1.01-1.005 gives the amount of money, in thousands of dollars, in Carter's savings account t years after he opens it What does 1.01 represent in this expression? Choose 1 answer Carter opened the savings account I year ago ⓢ Carter's savings account had $1,010 in it when he opened it. The amount of money in Carter's savings account increase by 1% each year.
1.01 ( 1.005 )^t
standard exponential equation is
y = a (b)^x
where a = initial value
comparing the two equations
we get
a = 1.01
so, it means 1.01 means Carters saving account had $ 1010 in it when it opened
A cone is of radius 6 cm and its height is 10 cm . The volume of the cone is __________ π cm3
please help
20 pointss
Answer:
376.99 cm
Step-by-step explanation:
V=πr2h^3
Find the zeros of the function h(x)=x^2+23x+60 by factoring.
Answer:
x = - 20, x = - 3
Step-by-step explanation:
To find the zeros, let h(x) = 0, that is
x² + 23x + 60 = 0
Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- term (+ 23)
The factors are + 20 and + 3, since
20 × 3 = 60 and 20 + 3 = 23, thus
(x + 20)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 20 = 0 ⇒ x = - 20
x + 3 = 0 ⇒ x = - 3
A country's population in 1991 was 26 million.
In 1999 it was 28 million. Estimate
the population in 2006 using the exponential
growth formula. Round your answer to the
nearest million.
P = Aekt
Answer:
30 million
Step-by-step explanation:
i just spared my question to get the answer. it is 30 million. have a good day.
The estimated population in 2006 was 33 million.
What is the exponential function?Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round.
The exponential growth formula is:
Pn = Po × (1 + r)ⁿ⁻¹
Where:
Pn = the population at time n
Po = the population at time 0
r = the rate of growth
n = the number of years after time 0
In this case, Po = 26 million, n = 15 (2006 - 1991 = 15 years), and r can be calculated as follows:
Pn = 28 million
Po = 26 million
n = 15
r = (Pn - Po) / (Po × n)
r = (28 - 26) / (26 × 15)
r = 0.0077
Therefore, the population in 2006 can be calculated as follows:
P2006 = 26 × (1 + 0.0077)¹⁵
P2006 = 33.02 million
Therefore, the estimated population in 2006 was 33 million.
Learn more about the exponential function here:
brainly.com/question/11487261.
#SPJ1
What is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base
diameter of 18 feet? Round to the nearest tenths place
Answer:
see below
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the diameter is 18 so the radius is 1/2 d = 1/2(18) = 9
V = pi (9)^2 (8)
V =648 pi
Letting pi = 3.14
V = 648(3.14)
V =2034.72
Rounding to the tenths place
V =2034.7 ft^3
If you use the pi button
V = 2035.75204
Rounding to the tenths place
V =2035.8
Hurry Please! Which of the following shows the extraneous solution to the logarithmic equation?
Image shown!
Answer:
the third circle.
Step-by-step explanation:
Is the following biconditional statement true or false?
You can play volleyball if and only if you play a sport.
Answer:
true
Step-by-step explanation:
because you cannot play volley ball if you are not a sport person
A whole theater has the capacity to hold 1,000 people. On the opening night, the theater was 95% full. What part of the theater was filled on opening night?
Answer:
950 People
Step-by-step explanation:
If you have 95% of 100 then it is 95, correct? So, if you have 95% of 1000, the it must be 950.
Just saying, it might be wrong but try it anyways... if it isnt right then im sorry.
Given that sinθ=3/5
, find cosθ
and tanθ
. Write your answers as fractions in simplest form.
Answer:
cos θ = 4/5.
tan θ = 3/4.
Step-by-step explanation:
Given sin θ = 3/5, we can find the value for the other side of the right triangle.
Using the Pythagorean formula, we can derive the value of this other leg.
5² = 3² + x²
x = 4.
Since sin θ is O/H, the Hypoteneus is 5 and the Opposite side is 3. The Adjacent side is 4, which will be used when finding cos θ and tan θ.
cos θ= A/H --> cos θ = 4/5.
tan θ= O/A --> tan θ = 3/4.
Please help with this question
In a symmetric histogram, you have the same number of points to the left and to the right of the median. An example of this is the distribution {1,2,3,4,5}. We have 3 as the median and there are two items below the median (1,2) and two items above the median (4,5).
If we place another number into this distribution, say the number 5, then we have {1,2,3,4,5,5} and we no longer have symmetry. We can fix this by adding in 1 to get {1,1,2,3,4,5,5} and now we have symmetry again. Think of it like having a weight scale. If you add a coin on one side, then you have to add the same weight to the other side to keep balance.
100 points. WILL MARK BRAINLIEST. EASY QUESTION
Topic: Fractions.
ONLY COMPLETE QUESTION 1
Answer:
see below
Step-by-step explanation:
2 1/2+ 3 3/16 + 7/8
Get a common denominator of 16
2 8/16 + 3 3/16 + 14/16
5 25/16
5 + 16/16 + 9/16
6 9/16
Subtract this from 8 ft
8 - 6 9/16
Borrow 1 from 8 in the form of 16/16
7 16/16 - 6 9/16
1 7/16
b 1 7/16 - 1 1/3
The common denominator is 48
1 21/48 - 1 16/48
5/48
What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x-y=1?
Answer:
y= 4x +5
Step-by-step explanation:
Let's rewrite the equation so that it is in the form of y=mx+c, where m is the gradient and c is the y-intercept.
4x-y=1
y= 4x -1
parallel lines have the same gradients. Thus the gradient of the line is 4.
y=4x+c
To find c, substitute a pair of coordinate.
When x=-2, y= -3,
-3= 4(-2) +c
-3= -8 +c
c= 8 -3
c= 5
Thus, the equation of the line is y= 4x +5.
Katy buys 2 DVDs every 2 weeks.How many DVDs. Will she buy in 14 weeks?
Answer:
Step-by-step explanation:
If Katy buys 2 DVDs every 2 weeks, it the same as saying 1 DVD every week.
14 ÷ 2 = 7
2 × 7 = 14
1 × 14 = 14
Answer:21 dvds
Step-by-step explanation:
Set up a proportion in terms of DVDs to weeks and solve.
3/2 = x/14
(2)(x) = (3)(14)
2x = 42
x = 21
Therefore, Katy will buy 21 DVDs in 14 weeks.
brainliest pls?
What is the value of x in 5x + 5 = 8 3/4
｡☆✼★ ━━━━━━━━━━━━━━ ☾
5x + 5 = 8 3/4
- 5 from both sides
5x = 15/4
/5 on both sides
x = 3/4
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
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Please help me!!
Show workings.
Answer:
a = 31°
b = 149°
c = 149°
d = 31°
Answer:
see explanation
Step-by-step explanation:
Since there are 3 parallel lines, then
a and 31° are corresponding angles and congruent, thus
a = 31°
b and 31° are same- side interior angles and supplementary, thus
b = 180° - 31° = 149°
c and b are vertical angles and congruent, thus
c = 149°
d and 31° are alternate angles and congruent, thus
d = 31°
a = 31°, b = 149°, c = 149°, d = 31°
James sets off from home on his bike.The graph shows his journey.A)what is James average speed on his outward journey?B)How long does he stop for?C)What is James average speed on his homeward journey?
Answer:
20,45,15
Step-by-step explanation:
a)20 km/h
b)45 minutes
c)15 km/h
Answer:
Step-by-step explanation:
a)20
b)45
c)15
Which inequality statement describes the two numbers on a number line?
*6 and a number 10 units to the left of 6"
A)
10 > 6
B)
10 < 6
C)
-4> 6
D)
Answer:
-4 > 6
Step-by-step explanation:
So it would be -4 > 6 because you have 6 on the right, and 6 - 10 is -4, which is on the left.
Find the 82nd term of the arithmetic sequence
-8, 9, 26, ...
3 and 1/3 - 2 and 1/5
Answer:
1.13333333333
1.13
Step-by-step explanation:
1: Gather all the numbers
2: Use a calculator to subtract the numbers
3: Answer is 1.13
Hope this helps.
18:10 is equivalent to :5
Answer:
18:10 is equivalent to 9:5
Step-by-step explanation:
half of 18 is 9 and half of 10 is 5
Answer:
9:5
Step-by-step explanation:
18:10 is equivalent to 9:5 because 10 divided by 2 is 5 so you can do the same for 18. You will get 9 which makes it 9:5.
Find f(–2) for the function f(x) = 3x2 – 2x + 7
Answer: The Answer Is 23
Step-by-step explanation:
Answer:
the answer is 23,
Step-by-step explanation:
i took the test and got it right!!!
Match each percent proportion with the percent problem it represents.
Answer:
1. d
2. c
3. b
4. a
5m- 3 = 4m +30
can you please help me with this problem
Answer:
m=33
Step-by-step explanation:
To solve this, we need to get the variable, m, by itself. Perform the opposite of what is being done to the equation. Keep in mind everything done to one side, must be done to the other.
5m-3=4m+30
3 is being subtracted from 5m. The opposite of subtraction is addition, so add 3 to both sides.
5m-3+3=4m+30+3
5m=4m+33
4m is being added on to 33. The opposite of addition is subtraction, so subtract 4m from both sides.
5m-4m=4m-4m+33
5m-4m=33
m=33
Determine the measure of angle 1
This is a better photo I can’t figure this one out. Any help?
Answer:
the answer is 4
Step-by-step explanation:
because i did it on desmos that is a graphic calculator
A locker combination consists of two non-zero digits, and each combination consists of different digits. Event A is defined as choosing an even number as the first digit, and event B is defined as choosing an even number as the second digit. If a combination is picked at random, with each possible locker combination being equally likely, what is P(A and B) expressed in simplest form? A. 1/6 B. 5/18 C. 1/2 D. 5/9
Answer:
B. 5/18
Step-by-step explanation:
We have to digits taking the 0, they are as follows:
1, 2, 3, 4, 5, 6, 7, 8, 9
In other words, there are 9 in total.
Odd are 5 (1, 3, 5, 7, 9)
Pairs are 4 (2, 4, 6, 8)
Now, we have that the probability of drawing an odd one would be: 5/9
and that also, already selected that number, there would be 8 in total.
Therefore, drawing another number that is even the probability would be: 4/8
So the final probability is:
(5/9) * (4/8) = 20/72, we simplify (divide by 4) and we have 5/18 left
In other words, the answer is B. 5/18
Answer:
b
Step-by-step explanation:
RELATED QUESTION..........
BCGF is a quadrilateral, angles sum to 360 degrees.
B+C+G+F=360
B and G are right angles, formed by a radius and a tangent.
90+C+90+F=360
C+F=180
C and F are supplementary.
2x + 146 + 4x + 238 = 180
6x + 384 = 180
6x = -204
x = -34
Answer: -34, second choice