Answer:
16.2
Step-by-step explanation:
Use the law of cos
c^2 = 8^2+10.4^2-2*8*10.4*cos(122.2 degrees)
=260.83
c = √260.83 = 16.15
The missing side of the triangle is 16.2 km (round to the nearest tenth)
What is law of cosines ?
If a, b, c are sides of a triangle & C be the angle opposite to side c, then
c²=a²+b²-2ab cosC
What is the missing side ?Here, in the given question, a = 8km & b = 10.4 km
Also the angle opposite to the third side c (say) is C = 122.2°
So, according to the law of cosines,
c²=(8)²+(10.4)²-2(8)(10.4) cos(122.2°)
⇒ c²= 64+108.16-(-88.67)
⇒ c²= 172.16+88.67
⇒ c²= 260.83
⇒ c= √(260.83)
⇒ c= 16.15 = 16.2(approx)
So, the missing side = 16.2 km
Learn more about law of cosines here :
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Which of the series below converge? 1 + 9 + 81 + 729 + … 1 + 0.25 + 0.0625 + 0.015625 + … 625 – 125 + 25 – 5 + … 8 – 16 + 32 – 64 + …
Answer:
B, C, E
Step-by-step explanation:
Got it right on edge
The series C: 625 – 125 + 25 – 5 + … converges. Explanation given.
What is common ratio?The distance between each number in a geometric series is known as the common ratio. The ratio between two consecutive numbers, or a number divided by the number before it in the sequence, is known as the common ratio since it is the same for all numbers or common.
Given series:
A: 9 + 81 + 729 + …
B: 1 + 0.25 + 0.0625 + 0.015625 + …
C: 625 – 125 + 25 – 5 + …
D: 8 – 16 + 32 – 64 + …
To prove convergence:
A: 9 + 81 + 729 + …
Simplifying,
9 + (9)² + (9)³+ ....
The first term = 9
The second term = (9)²
So, the ratio = 9
That means, the geometric series with common ratio
IrI = 9 > 1
So, if the common ratio of geometric series is greater than 1 then the series diverges.
B: 1 + 0.25 + 0.0625 + 0.015625 + …
Simplifying,
1 + (1/4) + 1/(4)²+ ....
The first term = 1
Second term = 0.25
Third term = 0.0625
The ratio r = 4
IrI = 4 > 1
So, if the common ratio of geometric series is greater than 1 then the series diverges.
C: 625 – 125 + 25 – 5 + …
Simplifying,
The first term = 625
Second term = 125
Third term = 25
The ratio r = -125/625 = -1/5
IrI = 1/5 < 1
So, if the common ratio of the series is lesser than 1 then the series converges.
D: 8 – 16 + 32 – 64 + …
The first term = 8
Second term = -16
The ratio = -16/8 = -2
IrI = 2> 1
So, if the common ratio of the series is greater than 1 then the series diverges.
Therefore, the series C converges.
To learn more about the common ratio;
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Ibrahim filled a bucket with 5 7/8 gallons of water. Later, he poured out 4 5/8 gallons of the water. How much water is left in the bucket?
Answer:
1 2/8 gallons are left
Step-by-step explanation:
5 7/8 - 4 5/8= 1 2/8
(a) 3.2% of 360 (b) 2.7% of 90 (c) 12.8% of 240 (d) 0.8% of 450 (e) 0.5% of 500 (f) 0.25% of 320
Answer:
listen i would do this for u bit i gtg so what u can do is:
Step-by-step explanation:
time them into your calculator moving the decimal 2 spots over for example the first one would be .032 x 360 and just do that for all of them
i just need the bottom one
Answer:
X _> 3
Step-by-step explanation:
6/2 = 2x/2
3 = x
x = 3
Type your answer in the box.
b=2 y=6 o=4.
b3 - y - o
Answ
70
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
just took the quiz
please help!!!!! Its timed !!!!! Ill give out most brainly and extra points !!!
Answer:
A)12Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASlet's solve:according to the question
[tex] \sf \: 2x + 4 + 62 = 90[/tex]
simplify addition:
[tex] \implies \sf 2x + 66 = 90[/tex]
subtract 66 from both sides:
[tex] \sf\implies 2x + 66 - 66 = 90 - 66 \\ \sf\implies2x = 24[/tex]
divide both sides by 2:
[tex] \sf \implies \: \frac{2x}{2} = \frac{24}{2} \\ \sf \therefore \: x = 12[/tex]
Answer:
Solution given:
62°+2x+4+90=180°[ sum of interior angle of a triangle is 180°]
2x=180-156°
x=24°/2
x=12°
Solve the inequality for v.
5v-9> 66
Answer:
v>15
Step-by-step explanation:
add 9 to 66
5v>75
v>15
Answer: v>15
Step-by-step explanation:
The inequality can be treated as an equal sign and solved normally. Add 9 to both sides to get 5v>75, then divide to get v>15.
NOTE: If an inequality is divided by a negative number, the sign flips (> to <, etc.)
Which graph represents the function?
f(x)=−x2+x+6
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The right triangle has a square adjacent to each of its sides. What is the area of the square on the
shortest side of the right triangle?
A = 169ft?
A = 144ft?
A
5 square feet
13 square feet
Answer:
what are you trying to find?
What is the inverse quadratic function?
Daniel puts some wheat flour into an empty bowl. Then he add 2/3 cup rye flour to make a total of 2 5/12 cups of flour. How much wheat flour is in the bowl.
Answer:
1 3/4 cups of wheat flour is in the bowl
Step-by-step explanation:
x + 2/3 = 2 5/12
First, convert the 2/3 to 12ths by multiplying numerator and denominator by 4 = 8/12
Then convert the 2 5/12 to an improper fraction 29/12
x + 8/12 = 29/12
subtract 8/12 from both sides
x = 21/12 = 1 9/12 = 1 3/4
How do write 400% as a fraction , mixed number, or whole number
Answer:
400/10
Step-by-step explanation:
yeet
Answer:
4
Step-by-step explanation:
400% = 400/100 = 4
9 3/8- 8 7/8
I don't get it, my teacher wants it to not be an improper fraction but when I did the work, I got 2 and 12/8.
Can Someone help?
Answer:
1/2 I think
Step-by-step explanation:
9 3/8 becomes 8 11/8- 8 7/8= 4/8= 1/2
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]9\frac{3}{8} -8\frac{7}{8}[/tex]
Let's convert these to improper. To do this, we will multiply the denominator by the whole number and then add the numerator. The denominator will remain the same. We are just changing the numerator.[tex]9\frac{3}{8} =\frac{(8*9)+3}{8} =\frac{72+3}{8}= \frac{75}{8}\\8\frac{7}{8} =\frac{(8*8)+7}{8} =\frac{64+7}{8}= \frac{71}{8}[/tex]
Let's subtract:
[tex]\frac{75}{8} -\frac{71}{8} \\\\\frac{4}{8}[/tex]
[tex]\frac{4}{8}[/tex] can be reduced to [tex]\frac{1}{2}[/tex]
Triangle Theorems helppppppp
Answer and Step-by-step explanation:
Answer is in picture.
The angles of a triangle add up to 180.
There are TWO 9x + 1 because they are the base angle pairs.
I hope this helps!!
#teamtrees #PAW (Plant And Water)
Find the other endpoint when the midpoint is (4, 1) and one endpoint is (5,-1)
Answer:
(3,3)
Step-by-step explanation:
the difference between 5 and 4 is 1 so move down 1 from the mid point giving you 3
the difference between 1 and -1 is 2 so move right 2 from the mid point giving you 3
(3,3)
need help ASAP! please answer
Answer:
c
a
Step-by-step explanation:
how do I find the distance between (3,4) and (5,4)
Answer:
2
Step-by-step explanation:
the y values are the same so you just have to subtract the biggest x value from the smallest x value
5-3=2
She has completed 50 sit-ups, which is 25% of her goal for sit-ups. How many total sit-ups does Sami
plan to do? Use the tape diagram to solve.
I need help with this
Answer:
y=10x
Step-by-step explanation:
legit just searched it up
If PQRS is a kite, find m angle Q
Answer:
m<Q = 78°
Step-by-step explanation:
First, find the value of x:
7x + 2 = 10x - 31 (Non-vertex angles of a kite are congruent to each other)
Collect like terms
7x - 10x = -2 - 31
-3x = -33
Divide both sides by -3
x = 11
Find m<Q:
Sum of all angles in a kite = 360°
Therefore,
m<Q + m<P + m<S + m<R = 360°
m<Q + (7x + 2) + 124 + (10x - 31) = 360
Plug in the value of x
m<Q + (7*11 + 2) + 124 + (10*11 - 31) = 360
m<Q + 79 + 124 + 79 = 360
m<Q + 282 = 360
Subtract 282 from both sides
m<Q + 282 - 282 = 360 - 282
m<Q = 78°
PLEASE HELP URGENT!!
WILL GIVE BRAINLIEST
find the area of the composite figure.
-126 cm2
-140 cm2
-252 cm2
-280 cm2
Answer:
252cm².because,
we know Formula for finding Area of Trapizm.
That is,
1/2 × Sum of length of parallel sides × Height.
Here, we have 2 congruent Trapizm.
so,
Lengths of parallel sides = 16 and 20.
16 + 20 = 36.
Height = 7 cm.
Using Formula.
1/2 × 36 × 7
18 × 7
126 cm²
Here, we have two Trapizm...
so that..
126 × 2 = 252cm².
Answer:
252cm².
Step-by-step explanation:
I took the test
The RANGE of the graphed function is
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
PLEASE HELP ME BEST ANSWER GETS BRAINLIEST NO SCAMS PLEASE!
This is an example of a random sample: Surveying people in the library about whether they like to read books.
True
False
Answer:
False
Step-by-step explanation:
People reading in a library are most likely going to like to read books
Answer:
false i thin if not sorry
Step-by-step explanation:
YEE YEE
Please help!!! I need to get this done by today really soon but I’m really confused.
Answer:
Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos
Step-by-step explanation:
Answer:
Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos
- my friend wrote her name Esperanza~!
−7+( 63/9) i have no clue what this is
Answer:
0 (Zero)
Step-by-step explanation:
Order of Operations:P (Parentheses)E (Exponents)M (Multiplication)D (Division)A (Addition)S (Subtraction---------------------------------------------------------------------------------------------How to Use Order of Operations(PEMDAS) in This Equation:When having a equation with multiple steps you go down the list(shown above). Parentheses are first there for you do that first. After that you don't see any exponents, multiplication or division. You see addition, so you do the addition portion of the equation. You don't need subtraction since the problem is solved after the addition portion is done.----------------------------------------------------------------------------------------------Solving the Equation:First you need to do the equation in the parentheses then add -7Sooooo:63/9=7-7 + 7=0Your answer is 0 ----------------------------------------------------------------------------------------------I hope I was able to help!! :)
FREE BRAINLIST NEED HELP ASAP
Answer:
A
Step-by-step explanation:
distributive property 3(4+3r)
Answer:
12+9r
Step-by-step explanation:
3*4+3*3r
12+3*3r
12+9r
A rectangular prism has a length of 312 inches, a width of 312 inches, and a height of 7 inches. Danny has a storage container for the prism that has a volume of 90 cubic inches.
What is the difference in volume between the prism and the storage container?
Answer:
The answer is 429 meters
Step-by-step explanation:
I took the test and got it correct
How can you use standard deviations to compare the spread of each data set?
Sample A: 2,5,1,2,3,3,4,3
Sample b: 10,5,1,2,3,7,4,3
Calculate the standard deviation for each data set:
Sample A = 1.246
Sample B = 2.924
The smaller the deviation the closer the data set is, the larger the deviation the more widespread the data set is.
Sample B has a larger deviation so the spread of the data is wider.
HELP ASAP I WILL MARK BRAINLIST!!!!
Answer 25 degrees
Step-by-step explanation:
90-65 =25