9514 1404 393
Answer:
9) 39.7°
10) insufficient information
11) 20.0 in
12) 19.0 m
Step-by-step explanation:
These Law of Sines problems are all worked the same way. For sides a, b, and opposite angles A, B, the relevant relationship is ...
a/sin(A) = b/sin(B)
This gives rise to formulas for angle and side:
A = arcsin(a/b·sin(B))
a = b·sin(A)/sin(B)
If the longest given side is not opposite the largest given angle, there may be two solutions.
_____
9) B = arcsin(8/12.5·sin(87°)) = 39.7°
10) missing a side or angle; insufficient information
11) f = (5 in)·sin(70.4°)/sin(13.6°) = 20.0 in
12) p = (22 m)·sin(59°)/sin(180°-59°-24°) = 19.0 m
The formula for the volume of a cone is V = 1/3 πr^2 h. Which part of the formula represents the area of the base?
Flying against the wind, an alrplane travels 4700 kilometers in 5 hours. Flying with the wind, the same plane travels 9520 kilometers in 7 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answer:
i think this
Step-by-step explanation:
Let Va = the velocity of the airplane
Let Vw = the velocity of the wind
When flying with the wind:
(Va+Vw)*(4 hours) = 4000
4Va + 4Vw = 4000
4Vw = 4000 - 4Va
Vw = 1000 - Va
When flying against the wind:
(Va-Vw)*(7 hours) = 4200 km
7Va - 7Vw = 4200
Substitute 1000-Va for Vw and solve for Va:
7Va - 7(1000-Va) = 4200
7Va -7000 + 7Va = 4200
14Va = 11200
Va = 800 km/hr
Rate of wind:
Vw = 1000 - Va = 1000 - 800 = 200 km/hour
H=17+x/6 solve for H step for step
Answer: h -18 =14
Step-by-step explanation:
You need to plug in -18 into the equation. So h(-18)=17+(-18)/6
h(-18)=17-3
h(-18)=14
In the function, g(x) = -2x, the independent variable has a value of 6. Find the value of the dependent variable. Type a
numerical answer in the space provided. Do not type spaces in your answer.
Answer:
g(6)
g(x)=-2x
g(6)=-2(6)
g(6)=-12
-12
that the answer
Step-by-step explanation:
[tex] \frac{47}{5} [/tex]
Kevin correctly answered 75% of 32 test questions. How many questions did Kevin answer correctly? How many more questions would Kevin have had to answer correctly to get more than 80% correct?
Answer:
At least 26 questions to get around an 82% not 25 because that equals 78%
Step-by-step explanation:
Answer:
Kevin answered 24 questions correctly.
Kevin would have to answer 25.6 questions correctly to get more than 80%.
Please helppp, worth 35!!!
Answer:
9.42
Step-by-step explanation:
Hey There!
The first step of this problem is to find the formula for arc length
[tex]arc-length=2\pi r(\frac{0}{360} )[/tex]
r=raduis
0 = angle
now we just plug in the values
[tex]arc-length=2\pi 10\frac{54}{360} \\2\pi =6.283185307\\6.283185307x10=62.83185307\\62.83185307\frac{54}{360}=9.424777961[/tex]
so the arc length equals 9.424777961
the last step is to round to the nearest hundreth
so your final answer is 9.42
7. Sketch the graph of f(x) = 2(x - 1.5)2 + 3, then state the domain and range of the function (show all your
work). (4 points)
8. Determine the value of a given that (7, 6) satisfies the quadratic function f(x) = a(x – 5)2 +6. (Show all your
work). (2 points)
9514 1404 393
Answer:
7. D: (-∞, ∞); R: [3, ∞); see attached for a graph (red)
8. a=0; see attached for a graph
Step-by-step explanation:
7. The function is a polynomial, so its domain is all real numbers.
The parabola opens upward. It has a minimum value of 3. The range is y ≥ 3.
__
8. Putting the given point coordinates in the equation, we can solve for a.
f(7) = 6
6 = a(7 -5)² +6
0 = a(2²)
0 = a
The value of a is zero.
(The given point has the same y-value as the vertex, but is not the vertex. The function can only go through that point if it is a horizontal line (not a parabola).) The attachment shows a graph.
help please i’ll give extra points & brainlist:)!
A researcher wants to know how homeowners in her state feel about home warranties. She obtains a list of 879 homeowners in her state, selects 300 of them at random, and emails a questionnaire to them. 64 questionnaires are returned. Of these, 80% stated that they believe that the current home warranty coverage needs to be completely overhauled. Classify the following groups as the population or the sample for this particular study.
a. all homeowners in the researcher's state
b. The 879 homeowners whose names were obtained
c. The 64 homeowners who returned the questionnaire
d. The 80% who stated that the current home warranty coverage needs to be completely overhauled
Answer:
a. The population
b. The accessible population
c. The sample
d. The statistic
Step-by-step explanation:
a. All the homeowners in the researchers state = The target population
b. The 879 homeowners whose name were obtained = The sample frame (accessible population)
c. The 64 homeowners who returned the questionnaire = Research participants (the sample), the subjects
d. The 80% who stated that the current home warranty coverage needs to be completely overhauled = The statistic (subset or part of the sample)
1)Apply the distributive property to solve the following.
(2 +19) x4
Answer:
Answer:
4x19+4x2 or 4x21
Step-by-step explanation:
If you multiply 4x19, you get 76. And if you multiply 4x2 you get 8. 76+8= 84
If you multiply 4x21 you get 84 also. Both of these answers are distributive property. (all it is, is different ways of solving the problem.)
Hope this helps! :)
Determine the equation of the graph in its final position if the graph of y = 2X
is translated 2 units to the right and then 7 units upward.
1) y = 2x+7+ 2
2) y = 2X-2 + 7
3) y = 2X+2+7
O4) y = 2x-7, + 2
Answer:1
Step-by-step explanation:
Triangle Theorems I need helpppp
The length of time the Sun is above the horizon is called the
Angle of insolation
Intensity of insolation
Duration of insolation
Longitude of insolation
please find the value of a
Answer:
I cant lp because
i'm on the school computer so sorry. <:(
so I cant see your Step-by-step explanation:
Plz help ASAP 20 Points Determine the equation of circle A.
(x - 1)2 + (y + 2)2 = 9
(x + 1)2 + (y-2)2 = 9
(x-1)2 + (y + 2)2 = 3
(x + 1)2 + (y-2) = 3
Answer:
the answer is c
Step-by-step explanation:
your equation is to solve the circle so A could not be the answer B/c it can't be 9.the answer is c or d. But d can't give you 3 if you solve it. so the answer is C
Find the probability that when a couple has five children, at least one of them is a boy. (assume that boys and girls are equally likely.)
Answer:
The easiest way to figure this is to find P(no girls in 5 births) = (1/2)^5 = 1/32 -------------- The P(at least one girl in 5 births) = 1 - 1/32 = 31/32
The probability that when they have five children, at least one of them is a boy is 31/32
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome:
The probability that a couple will have a boy or girl among the five children = 1/2
If they gave birth to 5 children:
The probability that when they have five children, at least one of them is a boy = 1 - (1/2)^n where:
n is the total number of children
The probability that when they have five children, at least one of them is a boy = 1 - (1/2)ⁿ
The probability that when they have five children, at least one of them is a boy = 1 - (1/2)⁵
The probability that when they have five children, at least one of them is a boy = 1- 1/32 = 31/32
Hence the probability that when they have five children, at least one of them is a boy is 31/32
Learn more here: https://brainly.com/question/13604758
2X^2 - 9x + 10 . solve by factoring area model (show work)
Step-by-step explanation:
2x²_4x_5x+10
2x(x-2)-5(x-2)
(2x-5)(x-2)
a line has a slope of -3 and a y-intercept of 5. write the equation of the line in slope-intercept form and explain how you would use the slope and y-intercept to graph the equation?
Answer:
y = -3x + 5
Step-by-step explanation:
Since the y-intercept occurs at the point (0,5), you can use that and the point slope equation to find the equation.
This looks like y - 5 = -3 (x - 0);
Solving for y, you get y = -3x + 5;
To graph this equation you would put one point at (0,5), then use the slope to count down three and to the left one to find other points, or you could just plug in numbers for x to find their corresponding y values and plot it like that.
Hopefully this helps- let me know if you have any questions!
What is the input value for which g(x) = 3 khan academy
Answer:
x = 9
Step-by-step explanation:
If g(x) = 3, that means that the output is three.
Outputs are y values.
Look at the graph. When y=3, the x = 9.
So the input value for which g(x) = 3 (aka that gives the output y = 3) is x = 9
PLS HELP
i said 45 but it was marked incorrect, im super confused
Answer:
60
Step-by-step explanation:
trangles always equal 180 degrees on the inside angles
180-75-45 = 60
21.8% all registered doctors are female if there were 51800 female doctors what is the total doctors that registered
Answer:
Step-by-step explanation:
21.8% of x = 51,800
0.218x =51,800
x= 51,800/0.218 = 237,615
PLEASE HELP MEEEEEEEEEEE
(2 questions)
(USA Test Prep and Quizzez)
Answer:
1. -25
2. 2.1
Step-by-step explanation:
-1/2(x + 5) = 10
divide both sides by 2.
-1(x + 5) = 20
-(x + 5) = 20
-x = 20 + 5
x = -25
k/3.5 + 7.4 = 8
2k/7 +37/5 = 8
10k = 280 - 259
10k = 21
k = 21/10 (2.1)
Answer:
1.x=15
2.k=2.1
Step-by-step explanation:
1.-1/2(x+5)=-10
-x+5/2=-10 multiply both sides by 2
-x-5=-10
-x=-20+5
-x=-15 multiply both sides by -1
x=15
2.k/3.5+7.4=8
k/3.5=8-7.4
k/3.5=0.6
multiply both sides by 3.5
k=2.1
WILL MARK BRANL:IEST NO FAKE ANSWERS I NEED ASAP
Answer:
(-5, 9)
Step-by-step explanation:
In a lab experiment, 130 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 8 hours. How many bacteria
would there be after 21 hours, to the nearest whole number?
Answer:
y = 802
Step-by-step explanation:
please help me i really need help please
Answer:
90+42+x = 180
132+x=180
x=180-132
x=48
Answer:
48 DEGREES
Step-by-step explanation:
First you need to find the other two angles : 42 + 90 = 132 ( the 90 comes from the little square like shape on the other angle).
So x = 180 - 132 = 48 ( we use 180 because it is the sum of interior angles of a triangle.
HOPE THIS HELPED
Show that n(n – 1)(n + 1) + 6n ≡ n3 + 5n
Which property justifies the statement below?
a(2b+c)=a(c+2b)
a. commutative property of addition
b. commutative property of multiplication
c. associative property of addition
d. distributive property
Answer:
d. distributive property
Step-by-step explanation:
Divide the given polynomial by the given monomial.
Answer:
Here are the answers. Need to have 20 characters for answer. Phew
help me on math pls plss I'm stuck agian:(((((
Answer:
the answer to a is 25, im unsure what B is.
Step-by-step explanation:
hope this helps!!!
Solve for m. Write your answer as an inequality expression using the correct symbol.
m + 7 ≥ 20
PLZ help
Answer: m ≥ 13
m + 7 ≥ 20
Step-by-step explanation:
you basically subract 7 from 20 and 7
7-7 will cancel each other out 20-7 will give you = 13
m ≥ 13 is your answer