Answer:
.92
Step-by-step explanation:
sin A = opp side/ hypotenuse
We can use the Pythagorean theorem to find the hypotenuse
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 +7^2 = AC ^2
9+49 = AC ^2
58 = AC^2
Taking the square root
sqrt(58) = hypotenuse
sin A = 7/sqrt(58)
sin A =.91914503
sin A = .92
Help and explain !!!!
i believe it's y-intercept!
to be honest i was never taught why it was the y-intercept, i was just told that it was. hope this helps!
find the discriminantof the quadratic equation root 2 X square + 7 x + 5 root 2
[tex]\displaystyle\ 2x^2+7x+5\sqrt{2} =0 \\\\\boxed{D=7^2-4\cdot2\cdot 5\sqrt{2} =49-40\sqrt{2} }[/tex]
Is (18,-4) a solution to the equation y = -6x - -87? yes no
Replace x with 18, solve the equation. If it equals -4 it’s a solution.
Y = -6(18) - -87
Y = -108 + 87
Y = -21
-21 does not equal -4 so (18,-4) is not a solution.
Find the value of x. Round to
the nearest tenth.
17°
47
Х
X =[?]
Answer:
13.7 units
Step-by-step explanation:
Hi there!
The dotted lines and the hypotenuse of the green triangle create a new right triangle, with one of its acute angles measuring 17 degrees and its hypotenuse measuring 47 units.
Given this information and that we must solve for the side opposite the given angle, we can use the sine ratio:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
Plug in known information
[tex]sin17=\frac{x}{47}\\47*sin17=x\\13.7=x[/tex]
Therefore, the value of x when rounded to the nearest tenth is 13.7 units.
I hope this helps!
G(x)=√8x
What is the domain of g?
Answer:
answer is b
Step-by-step explanation:
got it right on khan
The domain of the function g(x) = √(8x) is all real numbers greater than or equal to 0, which can be expressed as [0, +∞).
option B is correct.
Here, we have,
The domain of a function refers to the set of all possible input values (x-values) for which the function is defined.
For the given function g(x) = √(8x), the function is defined as long as the expression inside the square root (√) is non-negative.
In this case, the expression inside the square root is 8x.
To ensure that it is non-negative, we need 8x ≥ 0.
Solving the inequality, we find:
8x ≥ 0
x ≥ 0/8
x ≥ 0.
Therefore, the domain of the function g(x) = √(8x) is all real numbers greater than or equal to 0, which can be expressed as [0, +∞).
To learn more on function click:
brainly.com/question/21145944
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At what depth will the pressure exerted on a man be twice that of the pressure at the surface if water?
Answer:
The depth of water at which the pressure on a man will be twice that of the pressure at the surface is approximately 10.36 meters
Step-by-step explanation:
The pressure, P, in a fluid (liquid or gas) is given by P = ρ·g·h
Where;
ρ = The density of the fluid
g = The acceleration due to gravity ≈ 9.81 m/s²
h = The depth of the body in the fluid
The pressure at the surface of water = The atmospheric pressure = 101,325 Pa
The pressure on a man in water will be twice the pressure at the water surface (the atmospheric pressure) when the pressure due to the water is equal to the atmospheric pressure as follows;
Pressure on man = Pressure due to water + Atmospheric pressure = Twice the atmospheric pressure
∴ Pressure due to water = 2 × Atmospheric pressure - Atmospheric pressure = Atmospheric pressure
Pressure due to water, P = Atmospheric pressure = 101,325 Pa
The depth of water, h = P/(ρ·g)
The density of water, ρ = 997 kg/m³
∴ h ≈ 101,325 Pa/(997 kg/m³ × 9.81 m/s²) ≈ 10.36 meters
The depth of water at which the pressure on a man will be twice that of the pressure at the surface, h ≈ 10.36 meters.
what is the volume of the figure. answer plz.
Answer:
Volume: 37.692 cm3
Step-by-step explanation:
1) 1/3 x 3.14 x 3 power of 2 x 4
2) 1.047 x 9 x 4
3) 37.692 cm3
Answer:
[tex]Volume ~of~cone=\pi /3r^{2} h[/tex]
[tex]r=3cm[/tex]
[tex]h=4 cm[/tex]
[tex]volume=\pi /3\times3^{2} \times4[/tex]
[tex]=12\pi =12\times3.14[/tex]
[tex]=37.68~ cm^{2}[/tex]
-----------------------
hope it helps...
have a great day!!
a. 12.4
b. 12.9
c. 8.5
d. 8.1
Find the missing length of the triangle. Round to the nearest tenth. a = _____, b = 7, c = 9
Answer: Maybe 5.7
Step-by-step explanation: To solve this we are going to need to understand the pythagorean theorem. we can use it as a way to find this certain side. if we put these numbers in the theorem, we get a^2+49=81 (7^2=49 and 9^2=81), we can subtract 49 on both sides and get 32. We would also need to take out the power of 2 on the side of the a^2, so you would do the square root of a^2, which would just become a and the square root of 32, which if you crunch the numbers on a calculator. You would get 5.656..... then you round it to the nearest tenth and get 5.7.
Step-by-step explanation:
The missing length of the triangle will be more than (9-7)=2 and less than (9+7)=16
so, 2<a<16
Answered by Gauthmath
Choose the correct answer from the given four options:In an AP, if a = 3.5, d = 0, n =101 ,then an will be
0
-3.5
3.5
1
Answer:
3.5
Step-by-step explanation:
Tn=a(n-1)d
Tn=3.5+(101-1)0
Tn=3.5+0
Tn=3.5
Let the universal set U = {weekdays}. If T = {Tuesday, Thursday}, what is T'?
Answer:Monday, Wednesday and Friday.
Step-by-step explanation:
It’s the other weekdays.
I NEED HELP WITH 2 QUESTIONSS
1.What is the mean change in the forecasted low temperatures over the next 7 days? Remember, this can be found by averaging the values in the Difference column for the low temperatures. If your answer is not an integer, explain what two integers your answer is between.
LOW TEMPTURES:
WEDNESDAY-79
THURSDAY- 79
FRIDAY- 73
SATURDAY- 73
SUNDAY - 73
MONDAY- 73
TUESDAY- 75
2. What is the mean change in the forecasted high temperatures over the next 7 days? Remember, this can be found by averaging the values in the Difference column for the high temperatures. Show your work and steps. If your answer is not an integer, explain what two integers your answer is between.
WEDNESDAY- 88
THURSDAY- 87
FRIDAY- 90
SATURDAY- 90
SUNDAY- 86
MONDAY- 88
TUESDAY-86
PLEASE ANSWER FAST!!!
6) Qual número deve ser acrescentado a expressão x² - 12x, para que se obtenha um trinômio quadrado perfeito? * 6 5 12 10
Respuesta:
36
Explicación paso a paso:
Para completar el cuadrado tendremos que sumar la mitad del cuadrado del coeficiente de x a la expresión;
Coeficiente de x = -12
Mitad del coeficiente = (-12/2) = -6
Tomando el cuadrado del resultado = (-6) ^ 2 = 36
Por lo tanto, el número que se debe sumar para obtener un cuadrado perfecto es 36.
The fish population of Lake Collins is decreasing at a rate of 5% per year. In 2000 there were about
1,150 fish. Write an exponential decay function to model this situation. Then find the population in
2006.
Answer:
Number of fish in 2006 = 845 fishes (Approx.)
Step-by-step explanation:
Given;
Number of fish in 2000 = 1,150 fishes
Decreasing rate = 5% per year
Find:
Number of fish in 2006
Computation:
Exponential decay function:
F = P[1-r]ⁿ
Number of year = 2006 - 2000
Number of year = 6 year
Number of fish in 2006 = 1,150[1-5%]⁶
Number of fish in 2006 = 1,150[1-0.05]⁶
Number of fish in 2006 = 1,150[0.95]⁶
Number of fish in 2006 = 1,150[0.735]
Number of fish in 2006 = 845.25
Number of fish in 2006 = 845 fishes (Approx.)
Help..................
Answer:
IJKUKOKLIOLIOOOIOLI
Step-by-step explanation:
IOIUOIUOIOIOIOIOIOIOIOIOIOIOIOIOIOIOIOOIOIOIOIOIOIOIOIOIOIOIO
Factor the expression (-x^2 + 5x + 24.), and use the factors to find the x-intercepts of the quadratic relationship it represents.
Type the correct answer in each box, starting with the intercept with the lower value.
The x-intercepts occur where x =
and x =
.
Answer:
[tex]{ \bf{let \: \: { \tt{ - {x}^{2} + 5x + 24} \: \: be \: \: { \bf{{y}}}}}} \\ { \tt{y = - {x}^{2} + 5x + 24 }} \\ { \tt{y = (x + 3)(x - 8)}} \\ for \: x - intercept : y = 0 \\ { \tt{(x + 3)(x - 8) = 0}} \\ { \bf{x = - 3 \: and \: 8}}[/tex]
The factors to the given expression are -1(x+3)(x-8)
The x-intercepts are -3, 8
What do we mean by factorization?Factorization is the process in which we write an expression in its factors which when multiplied results in the original expression.
How do we factorize the given expression?We equate the given expression to f(x)
(-x² + 5x + 24) = f(x)
⇒ -1(x² - 5x - 24) = f(x)
⇒ -1(x² - (8-3)x - 24) = f(x)
⇒ -1(x² + 3x - 8x -24) = f(x)
⇒ -1(x(x+3) -8(x+3)) = f(x)
⇒ -1(x+3)(x-8) = f(x)
∴The factor to the given expression is -1(x+3)(x-8)
How do we find the x-intercepts?To find the x-intercepts we equate f(x) = 0
⇒ -1(x+3)(x-8) = 0
⇒ (x+3)(x-8) = 0
x-intercepts are the roots of the above equation.
∴ The x-intercepts occur where x = -3 and x = 8
Learn more about the Factorization and x-intercepts at
https://brainly.com/question/11579257
https://brainly.com/question/3951754
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A ABC has vertices A (-7, -13), B (12, -8), and C(-17, 19). Which of the following represents the
reflection of AABC across the line y = x and its rotation of 90° about the origin?
Answer:
brainliest and 20 points! Which best explains whether or not ΔABC ≅ ΔLMN? The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are congruent because a 90 rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are not congruent because point B corresponds with point N and point C corresponds with point M. The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map ΔABC onto ΔLMN.
Step-by-step explanation:
it's is the answr
6 foxes catch 6 hens in 6 minutes, how many foxes will it take to catch 60 hens in 60 min. AND NO ITS NOT 60 I ALREADY TRIED. WHOEVER ANSWERS GETS 50 POINTS!
Answer:
It is 6 foxes
Step-by-step explanation:
Because if 6 foxes can catch 6 hens in 6 minuets then 6 foxs can can 60 hens in 60 minutes because you just multiply 6 minutes by 10 and get 60 minutes which is also the same for hens.
Answer:
6 foxes
Step-by-step explanation:
For 6 foxes to catch 60 hens (10 x 6 or 10 times more than 6 hens) they will need 10 times more time than they had to catch 6 hens, or 10 x 6 = 60 minutes.
Find the slope between the points (−3,−5) and (10,-5)
. Enter DNE if the slope between the points is undefined.
Answer:
0
Step-by-step explanation:
[tex] m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex] m = \dfrac{-5 - (-5)}{-3 - 10} [/tex]
[tex] m = \dfrac{0}{-13} [/tex]
[tex] m = 0 [/tex]
from -3 to 10 are 13 steps to the right and from -5 to -5 0 steps up or down.
devide the steps up by the steps to the right
0 / 13 = 0
in this case it's obvious, but I hope you see the method how to do this. you would normally get a more interesting fraction as a slope.
Need help ASAP !!!when creating a question for a survey , the way a question is written:
Answer:
The third one i think
Step-by-step explanation:
Since a survey shouldn't be biased or anything.
I need help ASAP !!!!
Answer:
{-4,2,6,9}
Step-by-step explanation:
Mathematically, the domain refers to the possible x-values
what this mean in the relation view are the values listed in the left ellipse
So we have the domain as;
{-4,2,6,9}
PLEASE HELP! Given the inequality y<3x+3, which statement is correct about the graphical solution?
A. Shading should go below a solid line.
B. Shading should go above a dashed line.
C. Shading should go below a dashed line.
D. Shading should go above a solid line.
Answer:
C. Shading should go below a dashed line
Step-by-step explanation:
y <
Y is less than. So, shade below where all the numbers are less than
And because it's NOT [tex]\leq[/tex] or [tex]\geq[/tex] , its dotted. Meaning the solutions are not on the line.
(3ab+2c)^3 what is the answer
Answer:
[tex]=27a^3b^3+54a^2b^2c+36abc^2+8c^3[/tex]
Step-by-step explanation:
[tex](3ab+2c)^3[/tex]
[tex]=(3ab+2c)[/tex] × [tex](3ab+2c)[/tex] ×
[tex]=(3ab+2c)(9a^2b^2+12abc+4c^2)[/tex]
[tex]=(3ab)(9a^2b^2)+(3ab)(12abc)+(3ab)(4c^2)+(2c)(9a^2b^2)+(2c)(12abc)+(2c)(4c^2)[/tex]
[tex]=27a^3b^3+36a^2b^2c+12abc^2+18a^2b^2c+24abc^2+8c^3[/tex]
[tex]=27a^3b^3+54a^2b^2c+36abc^2+8c^3[/tex]
hope this helps....
the slopes of the perpendicular lines are ____.
Answer:
a) negative reciprocals
Step-by-step explanation:
What is the difference of the fractions? 3StartFraction 13 over 15 EndFraction – 1Four-fifths 2One-fifteenth 2Five-fifteenths 2Seven-tenths 2Nine-tenths
Answer:
2One-fifteenth
Step-by-step explanation:
[tex]3\frac{13}{15} - 1\frac{4}{5}[/tex]
[tex]2\frac{13 - 12}{15}[/tex]
2 [tex]\frac{1}{15}[/tex]
Which of the following graphs represents the equation y-2 = 3(x - 1)?
Answer:
Graph B
Step-by-step explanation:
The vertical intercept I am getting is (0,-1) and B is the only one with that point. Therefore, it should be B.
Larry rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 8.
Answer:
[tex]Probability = \frac{5}{36}[/tex]
Step-by-step explanation:
The samples are
{ ( 1 , 1) , ( 1 , 2 ) , ( 1 , 3 ) , ( 1 , 4 ) , ( 1 , 5) , ( 1 , 6 )
( 2 , 1 ) , ( 2 2 ) , ( 2 , 3 ) , ( 2 , 4 ) , ( 2 , 5 ) , ( 2 , 6 )
( 3 , 1 ) , ( 3 , 2 ) , ( 3 , 3 ) , ( 3 , 4 ) , ( 3 , 5 ) , ( 3 , 6 )
( 4 , 1 ) , ( 4 , 2 ) , ( 4 , 3 ) , ( 4 , 4 ) , ( 4 , 5 ) , ( 4 , 6 )
( 5 , 1 ) , ( 5 , 2 ) , ( 5 , 3 ) , ( 5 , 4 ) , ( 5 , 5 ) , ( 5 , 6 )
( 6 , 1 ) , ( 6 , 2 ) , ( 6 , 3 ) , ( 6 , 4 ) , ( 6 , 5 ) , ( 6 , 6 ) }
Total number of samples = 36
Samples with a sum of 8 = { ( 2 , 6 ) , ( 3 , 5 ) , ( 4 , 4 ) , ( 5 , 3 ) , ( 6 , 2 ) }
Total number of sample with sum 8 = 5
Therefore,
[tex]Probability \ of \ sum \ of \ 8 = \frac{5}{36}[/tex]
You borrow $25,000 to buy a boat. The simple interest rate is 4%. You pay the loan off after 10 years. What is the total amount you paid for the loan?
Answer:
$35000
Step-by-step explanation:
A = P(1+rt)
A = 25000*(1+4%*10)
A = 35000
BRAINLIEST PLEASEEEEEEEEEEE
What is the reflection of (-50, -30) across the y-axis?
Answer:
(50,-30)
Step-by-step explanation:
Reflecting a point across the y axis is just like flipping a page on a book. The x coordinate is flipped and the y coordinate stays the same.
Write a function rule for the table.
Answer:
A
Step-by-step explanation:
slope=(1-0)/(5-4)=1
eq. of line through (4,0) with slope 1 is
y-0=1(x-4)
put y=f(x)
f(x)=x-4