Answer:
Step-by-step explanation: sin β = [tex]\frac{oposite }{hypotenuse}[/tex] ; cos β = [tex]\frac{Adjacent}{Hypotenuse}[/tex]
10) sin [tex]32^{0}[/tex] = [tex]\frac{x}{18}[/tex]
18 sin [tex]32^{0}[/tex] = x
18 (0.53) = x
x= 9.5 units
cos [tex]32^{0}[/tex] = [tex]\frac{y}{18}[/tex]
18 cos [tex]32^{0}[/tex] = y
y = 18 (0.85)
y = 15.3 units
You use the same strategy for the rest of the questions. Feel free to reach out if you have more questions.
solve: 2x+3y=1
y=-2x+11
Answer:
(8, -5); x=8; y=-5
Step-by-step explanation:
i'll be solving via substitution
2x+3y=1; y=-2x+11
2x + 3(-2x +11) = 1
2x -6x +33 = 1
-4x = -32
x = 8
2(8) + 3y = 1
16 + 3y = 1
3y = -15
y = -5
(8, -5)
Check:
-5 = -2(8) + 11
-5 = -16 + 11
-5 = -5
(3xy²)³ × (- 4x²y) =
Answer:
− 108 x 5 y 7
Step-by-step explanation:
My computer wont allow it but the 5 and the 7 are exponents
Answer:
[tex]-108x^{5}y^{7}[/tex]
Step-by-step explanation:
Simplify using the laws of exponents (there are more rules than listed, these given rules are just the ones that come into play here);
- when there is a term in parenthesis with an exponent outside, the term's exponent gets multiplied by the exponent outside
- when multiplying two exponents, one can only combine terms with the same base, and one must add the exponents
[tex](3xy^{2})^{3}*(-4x^{3}y)\\\\=(3^{3}*x^{3}*y^{2{^{3}}}) *(-4x^{2}y)\\\\=(27x^{3}y^{6})(-4x^{2}y)\\\\=-108x^{5}y^{7}[/tex]
The students in Jeanette's grade voted to select a guest speaker. 50% of the students voted for a famous athlete. If there are 22 students in Jeanette's grade, how many students voted for the athlete?
[tex]9z + 6j = 98[/tex]
Answer:
Step-by-step explanation:
What variable are you solving for?
ILL MARK YOU BRAINLIEST To join a health club, a person must pay a $75 one-time fee plus a charge of $30 per month. This situation can be presented by an equation of the form y=mx+b, where x = the fire in months and ythe
total cost in dollars. What is the value of b in this equation?
Answer: b=75
Step-by-step explanation: Given that the health club charges $30 per month, we know that this is the "m" varible. We know this because the total value changes as the value of x changes. The value of b would therefore be $75 dollars because it is a constant and a one time fee. The person joining the health club pays an amount of money per month, as well as an initial charge of $75.
Hope that helps!
Simplify the expression: 9-2X + 8 + x + 5x
Answer:
4x + 17
Step-by-step explanation:
9 - 2x + 8+ x + 5x
Add/Subtract the values with variables together and the same case for the values without any variables.
5x + x - 2x = 4x
9 + 8 = 17
So you'll end up with the following,
4x + 17
11 12 c 16 18 if the mean is 12, which number could c be?
Answer:
c = 14
Step-by-step explanation:
hope this helps
A sports drink bottle contains 16.9 fluid Ounces. Andre drank 80% of the
bottle. How many fluid Ounces did Andre drink?
Answer:
13.52 fluid ounces should be the right answer! :)
Step-by-step explanation:
Andre drank from the bottle 13.52 fluid ounces if he drank 80% of bottle.
What is Percentage?Percentage is defined as the parts of a number in a whole of 100. This is denoted by the symbol '%'.
In other words, percentage can be defined as the ratio expressed as a fraction of 100.
Any number can be expressed as a percentage of another number by dividing the number with the whole of other number and then multiplying with 100.
Given that, fluid contained in a sports bottle = 16.9 fluid ounces.
Andre drank 80% of the fluid contained in the bottle.
80% of the bottle = 80% × 16.9
= (80 / 100) × 16.9
= 0.8 × 16.9
= 13.52
So this is the total fluid ounces Andre drink.
Hence Andre drank 13.52 fluid ounces from the bottle.
To learn more about Percentage, click on the link given below :
https://brainly.com/question/29306119
#SPJ2
Simplify the following expression: (5x2 + 3x + 4) − (2x2 + 5x − 1). If the final answer is written in the form Ax2 + Bx + C, what is the value of A? Give only the numeric value of A, and do NOT give variables in your answer.
Answer:
b
Step-by-step explanation:
.....
27/2 divided by 9 what is the answer
Answer:
1.5
Step-by-step explanation:
Please help!!! I will mark someone brainliest!
Answer:
a = 8, b = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given the exponential function
f(x) = a[tex]b^{x}[/tex]
To find a and b use the given coordinate points on the graph
Using (0, 8 ), then
8 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then
a = 8
f(x) = 8[tex]b^{x}[/tex]
Using (2, 18 ) , then
18 = 8b² ( divide both sides by 8 )
[tex]\frac{18}{8}[/tex] = b² , that is
b² = [tex]\frac{9}{4}[/tex] ( take the square root of both sides )
b = [tex]\sqrt{\frac{9}{4} }[/tex] = [tex]\frac{3}{2}[/tex]
Thus
f(x) = 8[tex](\frac{3}{2}) ^{x}[/tex]
What is the range of the relation in the table below ???
Answer:
range : {0, 2, 4}
Step-by-step explanation:
write down the same range once.
PLS HELP ASAP I AM ALMOSF DONE PLS
Answer:
im saying d is the answer
Step-by-step explanation:
just help please it's 7th grade supposedly very easy
Answer: P(Quarter & Penny): 9/100
p(Two pennies): 9/25
Step-by-step explanation:
There are 20 coins in the bag, so you have a 3/20 chance of getting a quarter, 5/20 chances of getting a dime and 12/20 chance of getting a penny on each draw if the coins are always replaced.
Im this situation, you can simplify the fractions, the
Multiply the chance of each independent event times the chance of the next independent event.
3/20 × 3/5 = 9/100 for the quarter and the penny
3/5 × 3/5 = 9/25 for the two pennies
a line that includes the point (5, 1)and has a slope of 1
4. Which property of operations is used to write 15x + 9 as 9 + 15x?
Solution: The commutative property of addition states that when two numbers are being added, their order can be changed without affecting the sum.
In a sale normal prices are reduced by 10%
Tom bought a pair of shoes in the sale for £54.
What was the original price of Tom's shoes?
Answer:
What are the answer choices
Step-by-step explanation:
what is 0.0402 as a percent
Answer:
4.02%
Step-by-step explanation:
0.0402×100=4.02%
Answer:
4.02%
Step-by-step explanation:
3.2h+4=23.2 please help me
Answer:
h = 6
Step-by-step explanation:
Fill in the table of values for the function (fx)=3(2)^x
Step-by-step explanation:
-2 = 0.75
-1 = 1.5
0 = 3
1 = 6
2 = 12
The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in
the lake. What is the population this year? If you get stuck, consider drawing a diagram.
There are
fish in the pond.
HELLPPP
Answer:
theres
4
Step-by-step explanation:
What is the difference of 18s + 25t and 6s-5t
Work out the sum of 1 4 , 4 8 and 2 3 . Give your answer as a mixed number in its simplest form
Answer:
1 2/3
Step-by-step explanation:
Given :
Find the sum of 1/2, 4 /8 and 2 /3
1/2 + 4/8 + 2/3
L.c.m = 24
(12 + 12 + 16) / 24
40 / 24
= 1 16/24
= 1 2/3
Answer:
23
Step-by-step explanation:
just both numbers together
Help ASAP
Free response
What is the volume of a cone with a diameter of 6 inches and a height of 9 inches? Use 3.14 for pi. Round your answer to the
nearest tenth.
Answer:
since it has a diameter of 6, its radius must be half that or 3.
Step-by-step explanation:
Si un hombre de 1.75m de altura proyecta una sombra de 3.50m que sombra aproximada proyecta un poste de 8.25m
Answer:
4.25 m
Step-by-step explanation:
Resolvemos esta pregunta usando la fórmula:
Altura del hombre / Sombra de un hombre = Altura del palo / Sombra del palo
Sombra del hombre = 3.50 m
Altura de un hombre = 1.75 m
Sombra del palo = 8.50 m
Altura del palo = x
Por lo tanto:
1.75 / 3.5 = x / 8.5
Cruz multiplicar
1.75 × 8.5 = 3.5 × x
14.875 = 3.5x
x = 14.875 / 3.5
x = 4.25 metros
Por tanto, la altura del palo = 4.25 m
The graph of a proportional relationship contains the point (8,4). What is the corresponding equation? Enter your answer as a fraction in simplest form by filling in the boxes.
y= — x
Given:
The graph of a proportional relationship contains the point (8,4).
To find:
The corresponding equation.
Solution:
If y in directly proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is the constant of proportionality.
The graph of a proportional relationship contains the point (8,4).
Putting x=8 and y=4 in (i), we get
[tex]4=k(8)[/tex]
[tex]\dfrac{4}{8}=k[/tex]
[tex]\dfrac{1}{2}=k[/tex]
Putting [tex]k=\dfrac{1}{2}[/tex] in (i), we get
[tex]y=\dfrac{1}{2}x[/tex]
Therefore, the required equation is [tex]y=\dfrac{1}{2}x[/tex].
I’ll give BRAINLEST I need this now though
The speed of light is about 300,000,000 meters per second. That's
about 3 * 10^8 meters per second. The speed of sound in dry air is
about 3 * 10^2 meters per second.
About how many times faster does light travel than sound in dry air?
Answer:
Light is about 299,999,700 mps (meters per second) faster than sound in dry air.
Step-by-step explanation:
We know that the speed of light is about 3 × 10 ^ 8 meters per second and that the speed of sound in dry air is about 3 × 10 ^ 2 meters per second. We need to solve 3 × 10 ^ 8 minus 3 × 10 ^ 2.
3 × 10 ^ 8 - 3 × 10 ^ 2 =
300,000,000 - 300 = 299,999,700
Light is about 299,999,700 mps (meters per second) faster than sound in dry air.
Answer: 3 x 10^2 m/s times 10^6 = 3 x 10^8 m/s
Step-by-step explanation:
The Lowest common multiple of 2 numbers is 126
what are the 2 numbers
Answer:
Step-by-step explanation:
The least common multiple of 126 and 131 is
16,506
I WILL GIVE BRAINLIEST AND A FOLLOW ON TIKTOKK
Mr. Setterloff drives 756 miles in 12 hours. How far does he drive in 1 hour?
Answer:
He drives 63 miles in 1 hour
Step-by-step explanation:
756/12= 63