Answers
Answer:
5.4Step-by-step explanation:
ABC is a right angle triangle.
Therefore,
[tex]cos \: (75) = \frac{ab}{ac} [/tex]
Plug the values
[tex]cos \: (75) = \frac{x}{21} [/tex]
Apply cross product property
[tex]x = 21 \times cos(75)[/tex]
Calculate
[tex]x = 5.435[/tex]
After rounding to the nearest tenth, the answer will be:
[tex]x = 5.4[/tex]
Hope this helps...
Best regards!!
Related Questions
4. You work for an advertising company and have been hired to place a blimp above a football stadium. The angle of elevation from a point directly under the goal post is 72° and the blimp will be directly above the 50 yard line. a. Which trigonometric ratio would you use to calculate how high the blimp will be above the 50 yard line? b. How high above the ground is the blimp? c. In order to be able to read the advertisement on the side of the blimp the highest the blimp can be is 150 feet. Will the fans be able to read the advertisement? If not, what possible angle of elevation could we use? d. What is the exact angle if the blimp is at 150 feet?
Answers
Answer:
tan θ = [tex]\dfrac{opposite}{adjacent}[/tex]
The height of the blimp above the ground is h = 153.884 yard
No, the fans will not be able to read the advertisement.
The exact angle if the blimp is at 150 feet is 45.74°
Step-by-step explanation:
From the summary of the information given :
The angle of elevation from a point directly under the goal post is 72° and the blimp will be directly above the 50 yard line.
That statement above being illustrated in the attached diagram below for better understanding.
a. Which trigonometric ratio would you use to calculate how high the blimp will be above the 50 yard line?
The trigonometric ratio that can be used to calculate how high the blimp will be above the 50 yard line is :
tan θ = [tex]\dfrac{opposite}{adjacent}[/tex]
b. How high above the ground is the blimp?
Using the above derived trigonometric ratio,
tan θ = [tex]\dfrac{opposite}{adjacent}[/tex]
[tex]tan \ 72^0 = \dfrac{h}{50}[/tex]
[tex]h =tan \ 72^0 \times {50}[/tex]
[tex]h =3.07768 \times {50}[/tex]
h = 153.884 yard
The height of the blimp above the ground is h = 153.884 yard
c. In order to be able to read the advertisement on the side of the blimp the highest the blimp can be is 150 feet.
Will the fans be able to read the advertisement?
No, the fans will not be able to read the advertisement.
This is because, 153.884 yard to feet
= 153.884 × 3
= 461.652 feet which is more than the maximum given 150 feet.
If not, what possible angle of elevation could we use?
The possible angle of elevation can be determined by taking the tangent of the trigonometric ratio.
SO
tan θ = [tex]\dfrac{h}{150}[/tex]
tan θ = [tex]\dfrac{153.884}{150 \ feet}[/tex]
tan θ = 1.026
θ = tan ⁻¹ (1.026)
θ = 45.74°
d. What is the exact angle if the blimp is at 150 feet?
The exact angle if the blimp is at 150 feet is 45.74°
À television ser costs $350 cash. When
bought on hire purchase, a deposit of $35 is
required, followed by 12 monthly payments
of $30. How much is saved by paying cash
Answers
Answer:
$45.
Step-by-step explanation:
When the TV is bought on hire purchase, you deposit $35 and pay $30 monthly. There are 12 payments. 12 * 30 = $360. 360 + 35 = $395.
Since cash would've cost $350, the amount of money saved by paying cash is 395 - 350 = $45.
Hope this helps!
What is the approximate circumference of the circle shown below?
Answers
Answer:
[tex]\boxed{\sf 43.35 \ cm}[/tex]
Step-by-step explanation:
Apply formula for the circumference of a circle.
[tex]\sf C=\pi d[/tex]
The diameter [tex]\sf d[/tex] is 13.8 cm.
[tex]\sf C=\pi (13.8)[/tex]
[tex]\sf C= 43.3539786195...[/tex]
[tex]\sf{C} \approx \sf{43.35}[/tex]
Answer:
43.4 cm
Step-by-step explanation:
Circumference of the circle = 2πr
r = radius, π = [tex]\frac{22}{7}[/tex]
f = diameter÷2
=13.8 ÷ 2
= 6.9
circumference = [tex]2 * \frac{22}{7} * 6.9\\[/tex]
= [tex]\frac{303.6}{7}[/tex]
= 43.37 cm or 43.4 cm
help me pls with this complete a and B I will give you brainliest if answer is correct:-)
Answers
Answer:
a) Multiplied by 1.04
b)160(1.06)=169.6
Step-by-step explanation:
Its increasing so (1+4%) will be what it multiplied to.
Hope it helps u
160(1+6%)=169.6
Which option is equal to 7 1/5
Answers
Answer:
D. is the answerStep-by-step explanation:
Question:
7^1/5
The number given has an exponent of a fraction: fraction exponent = 1/5
So, when you have a fraction - you always have a square root - Important!!Since the top is one, the number 7 stays the same. = 7^1 = 7
The bottom is a 5. This means it is to the fifth root.
Answer = D
Hope this helped,
Kavitha
Answer: If 36/7 is one of the options, choose that one.
If the question involves an exponent, you should use the "caret" which is ^ found above the 6 on a keyboard. [Shift + 6]. That helps avoid confusion.
Step-by-step explanation: 7 is equal to 35/5 because 7×5=35
Add 1/5 and you end up with 36/5. A Common rational number.
7^(1/5) = the 5th root of 7. A very small irrational number!
Determine how many litres of water will fit inside the following container. Round answer and all calculations to the nearest whole number.
Answers
Answer:
[tex]\approx[/tex] 11 litres of water will fit inside the container.
Step-by-step explanation:
As per the given figure, we have a container formed with combination of a right angled cone placed at the top of a right cylinder.
Given:
Height of cylinder, [tex]h_1[/tex] = 15 cm
Diameter of cylinder/ cone, D = 26 cm
Slant height of cone, l = 20 cm
Here, we need to find the volume of container.[tex]\\Volume_{Container} = Volume_{Cylinder}+Volume_{Cone}\\\Rightarrow Volume_{Container} = \pi r_1^2 h_1+\dfrac{1}{3}\pi r_2^2 h_2[/tex]
Here,
[tex]r_1=r_2 = \dfrac{Diameter}{2} = \dfrac{26}{2} =13\ cm[/tex]
To find the Height of Cylinder, we can use the following formula:
[tex]l^2 = r_2^2+h_2^2\\\Rightarrow h_2^2 = 20^2-13^2\\\Rightarrow h_2^2 = 400-169\\\Rightarrow h_2^2 = 231\\\Rightarrow h_2=15.2\ cm \approx 15\ cm[/tex]
Now, putting the values to find the volume of container:
[tex]Volume_{Container} = \pi \times 13^2 \times 15+\dfrac{1}{3}\pi \times 13^2 \times 15\\\Rightarrow Volume_{Container} = \pi \times 13^2 \times 15+\pi \times 13^2 \times 5\\\Rightarrow Volume_{Container} = \pi \times 13^2 \times 20\\\Rightarrow Volume_{Container} = 10613.2 \approx 10613\ cm^3[/tex]
Converting [tex]cm^{3 }[/tex] to litres:
[tex]10613 cm^3 = 10.613\ litres \approx 11\ litres[/tex]
[tex]\approx[/tex] 11 litres of water will fit inside the container.
[tex]4^{3/4} * 2^{x} =16^{2/5}[/tex]
Answers
Answer:
[tex]\sf x=\frac{1}{10}[/tex]
Step-by-step explanation:
Rewrite expression with bases of 4.
[tex]\sf{4^{\frac{3}{4} }} \times \sf({4^\frac{1}{2} )^x =(4^2)^{\frac{2}{5} }[/tex]
Apply law of exponents, when bases are same for exponents in multiplication, add the exponents. When a base with an exponent has a whole exponent, then multiply the two exponents.
[tex]\sf{4^{\frac{3}{4} }} \times \sf{4^{\frac{1}{2} x}=4^{\frac{4}{5} }[/tex]
[tex]\sf{4^{\frac{3}{4} +\frac{1}{2} x}=4^{\frac{4}{5} }[/tex]
Cancel same bases.
[tex]\sf \frac{3}{4} +\frac{1}{2} x=\frac{4}{5}[/tex]
Subtract 3/4 from both sides.
[tex]\sf \frac{1}{2} x=\frac{1}{20}[/tex]
Multiply both sides by 2.
[tex]\sf x=\frac{1}{10}[/tex]
Step-by-step explanation:
2^{2*3/4} × 2^{x}=2^{4×2/5}
2^{3/2} × 2^{x}= 2^{8/5}
2^{3/2+x}=2^{8/5}
equate powers
{3+2x}/2= 2^2
5{3+2x}= 2{8}
15+10x=16
collect like terms
10x=16-15
10x=1
divide both sides by 10
x=1/10
x=0.1
help please .........
Answers
Answer:
30.045
Step-by-step explanation:
the length of rectangle=140 which is also the diameter of circle
R=d/2=140/2=70 ( which is the width of rectangle)
perimeter of rectangle=2l+2w=140+280=420
perimeter of semicircle=πr+d=70π+140=359.911
the difference between two perimeter
(perimeter of rectangle- perimeter of semi circle) =
420-359.911=60.089
since only one shaded area :
60.089/2=30.0445 close to 30.045
find the value of the letter in each of the following and give reasons for the steps involved 1 2 A+6 A B=A 0 9
Answers
Question:
Find the value of the letter in each of the following and give reasons for the steps involved:
1 2 A
+ 6 A B =
A 0 9
Answer:
128 + 681 = 809
Step-by-step explanation:
Here, let's use the general form of numbers where any letter must represent one value and each digit must be represented by just one letter.
Take the following:
A = 8
B = 1
Thus, A +B = 8 + 1 = 9
Also add:
8 + 2 = 10
In general form, tens digit is zero and the 1 is carried over.
I.e, A = 1 + 6 + 1 = 8
We can now see that,
A = 8
B = 1
Therefore,
1 2 A
+ 6 A B =
A 0 9
Will be written as:
128 + 681 = 809
Please solve it 90 POINTS please help- PLEASE HELP its Identify the following for the quadratic relations please solve it all please if you can save the picture and do it on the page
Answers
Answer:
Step-by-step explanation:
2)
a) elimination method
b) substitution method
c) substitution method
For the first part we can elimate the y variable by subtracting the equations. We can then find the value of x.
For the second part we can substitute y as 2x+5 in the second equation and solve for x.
For the third part we can substitute y as 4x+3 in the first equation and solve for x.
3)
there are 9000 children in a town the probability that a child is affected by a virus 1/3 how many children are not likely to be affected
Answers
Answer:
6,000 children
Step-by-step explanation:
1/3 of 9,000 is 3,000
Meaning that out of 9,000 children, 3,000 WILL get affected. Since we are trying to figure out how many children will NOT get affected, just subtract the number of infected by the total amount which would be 6,000
If the blue radius below is perpendicular to the green chord and the segment
AB is 8.5 units long, what is the length of the chord?
A
A. 8.5 units
8.5
B
O B. 17 units
O C. 34 units
O D. 4.25 units
Answers
Answer:
O B. 17 units
Step-by-step explanation:
The chord is AC and the radius of the circle is perpendicular to the chord at B. AB = 8.5 units. According to the perpendicular bisector theorem, if the radius of a circle is perpendicular to a chord then the radius bisects the chord. This means that chord AC is bisected by the radius of the circle at point B. The length of the circle is calculated using:
[tex]AB=\frac{AC}{2}\\ AC=2*AB\\cross multiplying:\\AC = 2*8.5\ units\\AC = 17 \ units[/tex]
The length of the chord is 17 units.
Answer:
The answer is 17 units :D
Step-by-step explanation:
WILL GIVE THE BRAINLIEST! Which of the following inequalities can be represented by the graph?
Answers
=========================================
Explanation:
The boundary line is y = 2x-2. This line goes through (0,-2) and (2,2). Use the slope formula to find the slope to be m = 2, and use the y intercept b = -2 to help form the equation.
Since the boundary line is solid, we will have "or equal to" as part of the inequality sign. This indicates points on the boundary are part of the solution set. Furthermore, we will have a greater than sign because the shaded region is above the boundary. Therefore, we change the equal sign to a "greater than or equal to" sign, going from y = 2x-2 to [tex]y \ge 2x-2[/tex]
If we simply did [tex]y > 2x-2[/tex] without the "or equal to" portion, then the boundary line would be dotted or dashed to tell the reader "points on the boundary are not part of the solution set".
If a line is perpendicular to each of two intersecting lines at their point of intersection, then the line:
A. not enough information
B. is parallel to the plane determined by the two lines
C. coincides with the plane determined by the two lines
D. is perpendicular to the plane determined by the two lines
Answers
D. The line is perpendicular to the plane determined by the two lines.
Remember how you get to 3D space?
You take one axis called x and perpendicularly intersect it with y axis and you get a 2D plane. Now take a 2D plane and perpendicularly intersect it with an axis z and you get 3D euclidean space.
Hope this helps.
A politician claims that a larger proportion of members of the news media are Democrats when compared to the general public. Let p1 represent the proportion of the news media that is Democrat and p2 represent the proportion of the public that is Democrat. What are the appropriate null and alternative hypotheses that correspond to this claim
Answers
Answer:
[tex]H_{o}[/tex]: Larger proportion of news media = democrats
Ha : Large proportion of news media [tex]\neq[/tex] democrats
Step-by-step explanation:
The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis.
What is the solution set of |–x| = 3.5? {–3.5, 3.5} {–3.5} {3.5} {7}
Answers
Answer:
{-3.5, 3.5}
Step-by-step explanation:
Interpreting
|-x| = 3.5
gives
3.5 = +(-x) or 3.5 = -(-x)
or
x = + / - 3.5
so the answer is
{-3.5, 3.5}
Answer:
A
Step-by-step explanation:
-4______1 what symbol makes this sentence true
Answers
Answer:
<
Step-by-step explanation:
How much money do winners go home with from the television quiz show Jeopardy? To determine an answer, a random sample of winners was drawn and the amount of money each won was recorded and listed below. Estimate with 96% confidence the mean winning's for all the show's players.
Answers
Step-by-step explanation:
Given:
x = 26214.47
s = 5969.25
n = 15
t = 2.046
The confidence interval is:
CI = x ± t (s / √n)
CI = 26214.47 ± 2.046 (5969.25 / √15)
CI = (23061.06, 29367.88)
A study was conducted on the effect of daytime running lights on cars. Researchers gathered data from a random sample of 3,248 drivers and measured
quite a few variables, in addition to the explanatory variable of daytime running lights and the response variable of less accidents. According to a
newspaper article summarizing the study, those cars that had daytime running lights were more likely to be operated by drivers who were confident and
attentive. Drivers whose cars did not have daytime running lights were about 22% more likely to have an accident. What conclusion can we draw from this
study? Explain.
We can infer a cause-and-effect relationship because the sample was selected randomly.
We cannot infer a cause-and-effect relationship because we do not have a control group.
We can infer a cause-and-effect relationship because multiple variables were included.
We cannot infer a cause-and-effect relationship because treatments were not assigned randomly.
We cannot infer a cause-and-effect relationship because the treatments imposed were not blocked correctly.
Answers
Answer:
The correct option is;
We cannot infer a cause and effect relationship because we do not have a control group
Step-by-step explanation:
The treatment in research involves giving stimulus known as treatment to a group or portion of the sample which are then known as the treatment group while the remaining portion of the the sample are exempted from the stimulus. A successful treatment manipulation is one where members of the treatment group perform higher in the measured metrics of the research than members of the control group.
Given that the researchers gathered data from a random sample of drivers and measurement of several variables including the explanatory variable of the of the research without subjecting a sample to a treatment or having a control group we cannot infer a cause and effect relationship as there are no control group
PLSSS HELP
Kenny and Michael have scored points during a basketball game. Kenny has scored 131313 points, and Michael has scored ppp points. Together they have scored a total of 272727 points. Select the equation that matches this situation. Choose 1 answer:
Choose 1 answer:
(Choice A)
A
13 + p = 2713+p=2713, plus, p, equals, 27
(Choice B)
B
13 = p + 2713=p+2713, equals, p, plus, 27
(Choice C)
C
13 - p = 2713−p=2713, minus, p, equals, 27
Answers
Answer:
A
Step-by-step explanation:
Kenny scored 13 points, and Micheal scored p points. They scored a total of 27 points. This means that 27 is the sum of their scores. The answer is A.
13 + p = 27
Answer:
It’s b or it’s 13+p=27
Step-by-step explanation:
Find volume of cylinder if its
radius
height
5.5m and
height 9 m?
Answers
Answer:
855.298 m^3
Step-by-step explanation:
The volume of a cylinder equation is piR^2H.
So pi5.5^2×9
855.298 m^3
Which of the following represents a function
Answers
Hope this helps :)
The table below shows the students in an Algebra 1 class. What is the probability that a randomly chosen student will be a girl? (Note: If your fraction will reduce, you need to reduce it.)
Answers
This means there is a 3/5 chance that a randomly chosen student is a girl.
What is 1x1+5 hehe lol
Answers
1x1 = 1
1+5 =6
I WILL GIVE BRAINLIEST!!!! A teacher is grading the final exam. He notices that the mean test score is 61, and the standard deviation is 10. The test scores were normally distributed. if there were 450 students in the data sample, how many would have a test score between 61 and 71 *Round your answer to the nearest full value.
Answers
Answer:
153.586 close to 154 students
Step-by-step explanation:
mean=61
standard deviation =10
sample 450 students , x between 61 and 71
(x-mean)/deviation for score 61 and 71
61-61/10=0
71-61/10=1
the z-scores is between 0 and 1 ( use calculator)
the percentage is 0.3413 close to 34%
number of students that score between 61 and 71=
450*0.3413= 153.586 close to 154 students
3. In the diagram, PQTU is a parallelogram with a
perimeter of 24 cm and an area of 28 cm². Given that
UTS and PQR are straight lines, find the area of the
whole diagram
Answers
Answer:
48cm²
Step-by-step explanation:
PQ=(24-5-5)/2=7
This means PR is 14 and US is 10.
The height of the parallelogram is base times height, so 28/7=4
Now we just look at it as one big parallelogram.
4(14+10)/2=48 cm²
El equipo de béisbol de los Gatos Salvajes de Ludlow, un equipo de las ligas menores de la organización de los Indios de Cleveland, juega 70% de sus partidos por la noche y 30% de día. El equipo gana 50% de los juegos nocturnos y 90% de los diurnos. De acuerdo con el periódico de hoy, ganaron el día de ayer. ¿Cuál es la probabilidad de que el partido se haya jugado de noche?
Answers
Answer:
0.5645
Step-by-step explanation:
De la pregunta anterior, se nos dan los siguientes valores para el equipo de Ludlow
Probabilidad de jugar de noche = 70% = 0.7
Probabilidad de ganar en la noche = 50% = 0.5
Probabilidad de jugar durante el día = 30% = 0.3
Probabilidad de ganar durante el día = 90% = 0.9
Probabilidad de que cuando ganaron ayer, el juego se jugó por la noche =
(Probabilidad de jugar de noche × Probabilidad de ganar de noche) ÷ [(Probabilidad de jugar de noche × Probabilidad de ganar de noche) + (Probabilidad de jugar de día × Probabilidad de ganar de día)]
Probabilidad de que cuando ganaron ayer, el juego se jugó de noche = (0.5 × 0.7) ÷ (0.5 × 0.7) + (0.9 × 0.3)
= 0.35 ÷ 0.35 + 0.27
= 0.35 ÷ 0.62
= 0.5645
La probabilidad de que el partido se haya jugado de noche = 0.5645
PLEASE help me with this question! No nonsense answers and answer with full solutions please!
Answers
Answer: b) {-3, 0.5}
Step-by-step explanation:
The new equation is the original equation plus 6. Move the original graph UP 6 units. The solutions are where it crosses the x-axis.
[tex]\text{Original equation:}\quad f(x)=\dfrac{15}{x}-\dfrac{9}{x^2}\\\\\\\text{New equation:}\quad\dfrac{15}{x}+6=\dfrac{9}{x^2}\\\\\\.\qquad \qquad f(x)= \dfrac{15}{x}-\dfrac{9}{x^2}+6[/tex]
+6 means it is a transformation UP 6 units.
Solutions are where it crosses the x-axis.
The curve now crosses the x-axis at x = -3 and x = 0.5.
This is really confusing I need help with this.
Answers
Answer:
Step-by-step explanation:
can you at least telllus what is in the drop box
The y-axis is horizontal line , the slope of the line is zero
The x-axis is x=0 , the slope of the line is undefined
answer : horizontal line , zero
Answer: x=0 , undefined
The second step by step is below
Hopefully this help you
If you have any other questions let me know
Have a great day :)
The number of representatives of a multi-level marketing company as a function of the number of days that have passed can be modelled by the exponential function R(d). About how many representatives does the company have after 75 days have passed if R(d) =150(1.03)^d
Answers
Answer:
About 1377 representatives.Step-by-step explanation:
If the number of representatives of a multi-level marketing company as a function of the number of days that have passed can be modeled by the exponential function R(d) = 150(1.03)^d, to calculate the number of representatives that the company have after 75 days, we will substitute d = 75 into the modeled equation.
R(75) = 150(1.03)^75
R(75) = 150*9.1789
R(75) = 1,376.835
Hence, the company have about 1377 representatives after 75 days.