Answers
Answer:
8/15Step-by-step explanation:
according to the Pythagoras theorem ,
SohCahToa
Soh - sine is opposite , hypotenuse
Cah -cos is adjacent , hypotenuse
Toa - tan is opposite, adjacent
from the diagram above , the tan is 8/15.
Hope this is helpful ,
have a nice day :-)
Related Questions
HELP ASAP NEED HELP. WILL GIVE BRAINIEST AND 100 POINTS.
Algebra 1
Use the function f(x) = 4x^2 - 7x - 15 to answer the questions.
Part a: completely factor f(x).
Part b: what are the x-intercepts of the graph of f(x)? Show your work.
Part C: describe the end behavior of the graph of f(x). Explain.
Part D: what are the steps you would use to graph f(x)? Justify that you can use the answers obtained in part B and part C to draw the graph.
Answers
Answer:
A: [tex]f(x)=(4x+5)(x-3)[/tex]
B: [tex](-\frac{5}{4} , 0)[/tex] and [tex](3, 0)[/tex]
C: They are parallel, which means they have no endpoint.
Which are correct representations of the inequality 6x2 3 + 4(2x – 1)? Select three options.
12 2x
6x > 3 + 8x - 4
O
-1.5
-1
-0.5
0
0.5
1
1.5
-1.5
-0.5
0
0.5
1.5
-1.5
-1
-0.5
0
0.5
1
1.5
Answers
The proper way to express the above inequality is 6x4(2x-1) is x2.
What is inequality?A mathematical statement that has two mathematical expressions on each side of the inequality sign is called an inequality. The indicators for inequality are,, >, or.
6x4(2x-1) is the given inequality.
So, 6x≥8x-4
6x off of both sides gives us
6x-6x≥8x-4-6x
0≥8x-6x-4
0≥2x-4
4 added on both sides give us
0+4≥2x-4+4
4≥2x
By dividing both sides by half, we obtain
(1/2)×4≥(1/2)×2x
2≥x
x≤2
Therefore, x≤2 is the correct representation.
Learn more about inequality here:
brainly.com/question/19498063
#SPJ7
The number -2 is a solution to which of the following inequalities?
x + 7 > 5
-3 x < 1
x - 7 < -4
Answers
To find it all you need to do is plug in -2 for x and see if the inequality is true.
When you do the math for the first one, you get 5 > 5. That is not true as 5 is equal to 5, not greater.
For the second one you get 6 < 1. Again, that is not true as 1 is not greater than 6.
Finally, you get -9 < -4 for the third one. This one is correct as -9 is a smaller number than -4.
Answer:
The answer is the third one, x - 7 < 4
Step-by-step explanation:
Anybody know the answer ?
Answers
Answer:
The final speed after collision of the first ball that weighs 4 kg will be 8.5 m/s.
Step-by-step explanation:
M1 = 4
M2 = 2
V1 = 8
V2 = 6
V2f = 5
V1f = ?
Rep. Situation with Momentum formula:
M1*V1+M2*V2 = M1*V1f+M2*V2f
Rearrange:
((M1*V1+M2*V2)-M2*V2f) / M1 = V1f
Calculate:
((44) - 10) / 4 = V1f
V1f = 8.5
The actual amount in a 12-ounce container of a certain brand of orange juice is normally distributed with mean μ = 12.34 ounces and standard deviation σ = 0.04 ounce. What percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice?
Answers
Answer:
15.25%
Step-by-step explanation:
The actual amount in a 12-ounce container of a certain brand of orange juice is normally distributed with mean μ = 12.34 ounces and standard deviation σ = 0.04 ounce. What percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice?
We solve using the z score formula
z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean = μ = 12.34 ounces
σ is the population standard deviation = σ = 0.04 ounce
For x = 12.24
z = 12.24 - 12.34/0.04
z = -2.5
Probability value from Z-Table:
P(x = 12.24) = 0.0062097
For x = 12.30
z= 12.30 - 12.34/0.04
z = -1
Probability value from Z-Table:
P(x = 12.30) = 0.15866
Hence, the probability of the juice bottles contain between 12.24 and 12.30 ounces of orange juice
P(x = 12.30) - P(x = 12.24)
= 0.15866 - 0.0062097
= 0.1524503
Therefore, the percentage of the juice bottles contain between 12.24 and 12.30 ounces of orange juice is calculated as:
= 0.1524503 × 100
= 15.24503%
= 15.25%
How do you perform constructions related to circles? What theorems and explanations can be used to justify these constructions? How do you perform constructions related to circles? What theorems and explanations can be used to justify these constructions?
Answers
Answer and explanation:
To construct a circle, draw a line that represents the diameter of the circle. Bisect the line so that it is a perpendicular bisector of the diameter of the circle. Place your compass at the bisection point/midpoint and draw an arc or better still the whole circle.
Theorem: the perpendicular bisector of a chord passes through the center of a circle.
Note: a diameter of a circle is a chord that passes through the center of a circle.
The slope of the line passing through the points (6, -1) and (7, -2) is
-3
-1
1
Answers
Answer:
-1
Step-by-step explanation:
when inputting our values into the formula for slope, we get (-2 - -1)/(7 - 6). Subtracting gives us -1/1 and our final answer is -1.
p.s tysm
Can some one help me out with this please?
Answers
Answer:
GOD BLESS YOU
Step-by-step explanation:
- 4x < 68
A. Solve by adding 4 to each side.
B. The solution is x>-17.
a or b will mark as brainliest
(ignore the last thing)
Answers
Answer:
B.x>-17
Step-by-step explanation:
1. Divide both sides by -4:
-4x/-4<68/-4
2.< will change to > since you are dividing by negative
3.your final answer will be x>-17
Which equation can be used to solve a - 5 = 30?A. a = 30 - 5 B. a = 30 + 5 C a = 30 + 5 = 5 D a = 30.5
Answers
Which equation can be used to solve a - 5 = 30
answer= a=30+5
HOPE THIS HELPS YOU......
hey again, could you help me with this and explain? thank you
Answers
Answer:
option 2
in the first equation y is greater than so it would be shaded above the line and in the second equation y is less than so it would be shaded below the line
Step-by-step explanation:
If y=-0.8 when x=2 find the y when x=3
Answers
is this an expression or an equation? 4a + 3b-6cx9
Answers
Answer:
Expression
Step-by-step explanation:
Given expression :
4a+3b-6cx9
So this is expression not equation because equation consist zero on the righ side
Example: ax+b=0 (This is equation )
And
ax+b (This is expression)
URGENT HELP NEEDED!!!!!
Find the simple interest earned at the end of 1 year. Show your calculations as best as possible (1 mark) correct answer (1mark) P = $1800 R = 5% T = 1 year
What is the total amount earned at the end of 3 years? P = $2600 R = 12% T = 3 years
1 point
$936
$3 536
$93 600
Both A and B
What principal would give an interest of $36 in 3 years at 3% p.a.? Show your calculations as best as possible (1 mark) correct answer (1mark)
In how many years will $600 double itself at 10% simple interest?
1 point
8 years and 4 months
8 years and 1/3
100 Months
All of the above
Both A and B
In what time will $400 amount to $512 if the simple interest is the calculated at 14% p.a.? Write your answer
Imagine you have a friend who doesn't quite understand what investing money into a bank means. Think of a financial situation and use the following words and numbers to help teach them. (principal $1200, interest earned, interest rate 4%, total amount, term, per anum). This is worth 8 marks.
Answers
Answer:
k
Step-by-step explanation:
a=8 and b=2.25 but what is k
Answers
Answer:
a = 8, b = 2.25, k = 27Step-by-step explanation:
y = abˣPoints on the graph:
(0, 8), (1, 18), (1.5, k)Substitute coordinates into equation and solve for and and b:
8 = ab⁰ ⇒ 8 = a*1 ⇒ a = 818 = 8b ⇒ b = 18/8 ⇒ b = 2.25Find k:
k = 8*[tex]2.25^{1.5}[/tex] = 27Answer:
a=8
b=9/4
k = 27
Step-by-step explanation:
y = ab^x
We know that a is the initial value or when x = 0
We know the point (0,8) so a = 8
y = 8 b^x
Using the point (1,18) for x and y we can find b
18 = 8 * b^1
18/8 = b
9/4 = b
Now
y = 8 * ( 9/4) ^ x
Letting x = 1.5
k = 8 *(9/4)^1.5
k = 27
Given that a*b = 2a - 3b, then 2*(-3) =
Answers
Answer:
2*(-3)= -6
Step-by-step explanation:
I do not see how "a*b=2a-3b" would change the fact 2 times negative 3 is -6
is the ordered pair a solution of the equation?
y= 3x + 4; (4, 16)
Answers
Answer: Yes.
Step-by-step explanation: Plug in your values. Does y=16 when x=4? 16 = 3(4) +4, which equals 16, so yes.
g(x)= -16x2 + 64x + 80 where x is the number of seconds after the rocket is launched. The function can also be written in factored form as g(x) = -16 (x + 1)(x - 5). What is the y-intercept of the function? What does it represent?
Answers
Answer:
y=80
Step-by-step explanation:
when solve y-intercept let x=0
y= -16(0)2+64(0)+80
y=0+0+80
y=80
(0;80)
If 5400=54(100x+54), then x=?
Answers
Answer:
x=23/50
Step-by-step explanation:
Answer:
0.46
Step-by-step explanation:
Divide 5400 by 54 to get rid of it from the right side.
You will get 100=100x+54
Then subtract 54 from 100.
46=100x
Lastly, divide your number by 100 to get x.
Factor this trinomial completely. 2x2 + 6x + 4 O
A. 2(x-2)(x + 1)
B. 2(x + 2)(x+1)
c. 2(x + 2)(x-1)
D. 2(x-2)(x - 1)
Answers
Answer:
B. 2(x+2)(x+1)
Step-by-step explanation:
[tex]\sf\purple{B. \:2(x + 2)(x+1) }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]2 {x}^{2} + 6x + 4[/tex]
Taking 2 as common factor, we have
[tex] = 2 \: ( {x}^{2} + 3x + 2) \\ =2 \: ( {x}^{2} + 2x + x + 2)[/tex]
Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have
[tex] = 2 \:[x(x + 2) + 1(x + 2)][/tex]
Taking the factor [tex](x+2)[/tex] as common,
[tex] = 2(x + 2)(x + 1)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
1hr left on this test so confused
Which statement is true regarding the functions on the
graph?
Of(-3) = g(-4)
Of(-4)= (-3)
f(-3) = g(-3)
f(-4) = g(-4)
Answers
f(-3)=g(-4) 123456789012345
Directions: Solve for X Round your answer to the nearest tenth. Make sure you calculator
is in degree model
12
Answers
Answer:
36.87
Step-by-step explanation:
Using tan inverse of 9 over 12
Answer:
x ≈ 36.9°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{12}[/tex] , then
x = [tex]tan^{-1}[/tex] ([tex]\frac{9}{12}[/tex] ) ≈ 36.9° ( to the nearest tenth )
Help pls pls pls pls
Answers
Answer:
(C).
[tex]height = \sqrt{ {29}^{2} - {21}^{2} } \\ = \sqrt{400} \\ = 20 \: units[/tex]
help asap please, will mark brainliest
Answers
Answer:
24 cm
Step-by-step explanation:
Answer:
24cm
Step-by-step explanation:
V= 4/3πr³
or, r³= 3/4π ×V= 3/4π× 18432π= 13824
or, r= (13824)^1/3= 24cm
Plse help my grades go in tomorrow and I am currently struggling!!
Answers
C⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
I need help please and thank you!!
Answers
Answer:
Option 4
Step-by-step explanation:
2x² + 32 = 0
2x² = -32
x² = -16
sqrt(-16) got no real solution. (no real number multiplied by itself will be negative)
Find the common ratio of the geometric sequence -13, 117, -1053,...
Answers
Answer:
-9
Step-by-step explanation:
Find the common ratio by dividing one of the numbers in the sequence by the previous number:
117/-13
= -9
So, the common ratio is -9.
Which two of the following mapping statements describe the same translation?
O 6.-9) - (0,1)
0 (-3,7) (-9,10)
(1, -5) (-5, -2)
(2, 4) + (-4,1)
Answers
Answer:
The mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.
Step-by-step explanation:
In a translation, we have that:
(x,y) -> (x+a,y+b)
In which a and b are how much the values change.
(6.-9) -> (0,1)
x subtracted by 6, y added by 10. So, the translation rule is:
(x,y) -> (x - 6, y + 10).
(-3,7) -> (-9,10)
x subtracted by 6, y added by 3. So
(x,y) -> (x - 6, y + 3).
(1, -5)-> (-5, -2)
x subtracted by 6, y added by 3. So
(x,y) -> (x - 6, y + 3)
Same rule as the above, so the mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.
(2, 4) -> (-4,1)
x subtracted by 6, y subtracted by 3. So
(x,y) -> (x - 6, y - 3)
315,728 rouned to the nearest ten thousand
Answers
Answer:
320,000 is the answer
Step-by-step explanation:
have a good day!!
Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)
Part B: How much time does Angela spend playing golf every day? (3 points)
Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning. (2 points)
Answers
Answer:
Part A: x = y+45
Part B: 40 125-45 = 80, 80÷2 = 40
Part C: Yes, because 80+45 adds up to 125.
Hope this helps! :)
