Answers
Answer:
θ = 35.39°
Step-by-step explanation:
Given that,
Perpendicular, P = 27
Base, B = 38
We need to find the value of angle. Let the angle be θ. So,
[tex]\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})\\\\\theta=\tan^{-1}(\dfrac{27}{38})\\\\\theta=35.39^{\circ}[/tex]
So, the required angle is 35.39°.
Related Questions
Lia cut a long piece of into 2 pieces. One pieces of the string is 24 inches long, and the other piece of the string is 12 inches long. How many feet long was the piece of string before lia cut it?
Answers
Answer:
24+12=36you find the total length
Answer:
3 feet
Step-by-step explanation:
According to the DuPont 2012 Global Automotive Color Popularity Report, 23% of all cars manufactured in 2012 were white. In a random sample of 100 cars parked in long-term parking at Philadelphia International Airport, 19% of the cars were white. Identify the underlined values as parameters or statistics and give the appropriate variable. Spell out phat, x-bar, mu, sigma for the variable names. Which of the following statements istrue?
a. 19% and 23% are parameters, 100 is a statistic.
b. 23% is a parameter, 19% is a statistic.
c. 23% is a statistic, 19% is a parameter.
d. 19% and 23% are statistics, 100 is neither a parameter nor a statistic.
e. 19%, 23%, and 100 are all statistics.
Answers
Answer:
b. 23% is a parameter, 19% is a statistic.
Step-by-step explanation:
If the value is from a population, it is a parameter.
Otherwise, if the value is from a sample, it is a statistic.
23% of all cars manufactured in 2012 were white.
This is from the population(all cars), so 23% is a parameter.
In a random sample of 100 cars parked in long-term parking at Philadelphia International Airport, 19% of the cars were white.
100 is the size of the sample, which is neither a parameter, nor a statistic.
19% is from the sample of 100, so it is a statistic.
The correct answer is given by option b.
Which expression is equivalent to b less than 50?
A 50b
B b - 50
C 50/b
D 50 - b
Answers
Answer:
50-b
Step-by-step explanation:
Whatever letter/number it begins with, it's that minus the second letter/number.
Find the solutions for 6x^2 -7x-20=0
Answers
Answer:
x=5/2, x=-4/3
Step-by-step explanation:
Which of the figures appear to to congruent
Answers
Answer:
C.
Step-by-step explanation:
Write and solve an equation to find the missing dimension of the prism.
Volume = 1620 cm3
h
9 cm 9 cm
Equation:
Height:
cm
Answers
Height of prism is 20 cm
Calculation of rectangular prism:Given that;
Volume of rectangular prism = 1620 cm³
Length = 9 cm
Width = 9 cm
Find:
Height of prism
Computation:
Volume of rectangular prism = (l)(b)(h)
So,
(9)(9)(h) = 1620
(81)(h) = 1620
h = 20
Height of prism = 20 cm
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A chemist wishes to mix a solution that is 12% acid. She has on hand 6 liters of a 4% acid solution and wishes to add some 16% acid solution to obtain the desired
12% acid solution. How much 16% acid solution should she add?
Complete the table.
Liters of
Solution
Percent Acid Liters of
(as a decimal) Pure Acid
0.04
6
Х
0.16
0.12
Answers
Answer:
25 liters of the 16% solution should be added.
Step-by-step explanation:
pure acid amount + pure acid amount = total pure acid amount
0.02*10 + 0.16*x = 0.12*(10+x) <<<---=== it is your balance equation; x is the amount (in liters) of the 16% solution.
0.02*10 + 0.16x = 0.12*10 + 0.12*x
0.16*x - 0.12*x = 0.12*10 - 0.02*10
(0.16 - 0.12)*x = 0.12*10 - 0.02*10
x = %280.12%2A10-0.02%2A10%29%2F%280.16-0.12%29 = 25.
Answer. 25 liters of the 16% solution should be added.
Check. %280.02%2A10+%2B+0.16%2A25%29%2F%2810+%2B+25%29 = 0.12 = 12% of concentration of the final mixture. ! Correct !
Please help guys thank you whoever helps me
Answers
In a poll of students at the hockey championship, 87% of the students say that hockey is better than baseball.
(a) Explain why it is not a valid conclusion to say that hockey is more popular than baseball at the school.
Answers
Answer:
Sample Bias
Step-by-step explanation:
If you sample Hockey players on if their sport is better than baseball, chances are they will vote for their sport being better.
Given the points (8,9) and (2,7) find the slope I need help
Answers
Answer:
1/3
Step-by-step explanation:
7-9=-2
2-8=-6
2/6 is 1/3 when simplified
Choose the system of inequalities that best matches the graph below.
Will Mark Brainlest
Answers
it is c.
Step-by-step explanation:
your y is -4 and you are rising 4times and running 1.
Answer:
the answer is c (100% on plato)
I need to know this fast
Answers
Answer:
396 Square feet
Step-by-step explanation:
1.) First find the side closest to you. 6 x 12 = 72. Then double it to match the parallel side. 72 x 2 = 144
2. Find the side to the right and left, 7 x 6 = 42. Then double it to match the parallel side. 42 x 2 =84
3.) Find the top side and bottom side. 12 x 7 = 84. Then double it to match the parallel side. 84 x 2 = 168
4.) Find the total surface area. 144+84+168=
5.) The total surface area is 396 square feet
Let me know if I am incorrect
Melinda and Davy are making postcards to announce their new address. The table shows the number of postcards they can make together during each hour they are working. If they continue to make postcards at this rate, what is the total number they will make in 6 hours? Postcards
Number of Hours Number of Postcards
1 7
2 14
3 21
Answers
Answer:
3
Step-by-step explanation:
Can someone help me with the vertex of the parabola
Answers
Answer:
The vertex is (-1.5, 11.25)
Step-by-step explanation:
Mr. Taylor has 24 sports trophies. Of the trophies, 1
8 are wrestling trophies. How many
wrestling trophies does Mr. Taylor have?
Answers
Answer: 18 wrestling trophies.
Step-by-step explanation:
The admission fee at an amusement park is $20 for children and $35 for adults. On a certain day, 276 people entered the park, and the admission fees collected totaled $7620. How many children and how many adults were admitted?
Answers
x+y=276
Y=276-x
35x+20(276-x)=7620
35x+5520-20x=7620
15x=2100
X=140
140+y=276
Y=136
140 adults and 136 children
Total number of children are 116 and adults are 160.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Let the number of children entered in park = x
And the number of adults entered in park = y
Fee for children = $20
Fee for adults = $35
According to given condition,
Total number of people = 276
⇒x+y = 276 (1)
Total fees collected = $7620
⇒20x+35y = 7620 (2)
By solving equation (1) and (2),
The value of x is 116
And value of y is 160
Total number of children are 116 and adults are 160.
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HELP PLS PLS pls pls
Answers
Answer:
129
Step-by-step explanation:
Answer:
129
Step-by-step explanation:
180 - 51 = 129
Hi. I need help with the following questions. ( These arent multiple choice)
Layout:
1.
2.
3.
Answers
Answer:
The top blank is D. Quadrilateral
The middle blank is B. Parallelogram
The last blank if A. Square
can you solve these please and show your work
Answers
find the sum of the first 10 terms of the following sequence 4, -16, 64
Answers
Answer:
838860
Step-by-step explanation:
How do you find the sum of the first 10 terms?
To sum up the terms of this arithmetic sequence: a + (a+d) + (a+2d) + (a+3d) +
Example: Add up the first 10 terms of the arithmetic sequence:
a = 1 (the first term)
d = 3 (the "common difference" between terms)
n = 10 (how many terms to add up)
What is the sum of the first 10?
The number series 1, 2, 3, 4 , 9, 10. Therefore, 55 is the sum of positive integers upto 10.
Question 17 (3 points)
Paul is signing a lease for a two-bedroom apartment that rents for $725/month. How much will Paul pay to move in if
he must pay first and last month's rent and a $500 security deposit?
Answers
Answer:
So If Paul needs to pay for 2 months of rent plus the 500$ in security deposit, then he has to pay 725+725+500=1950
15 * 3/5
14. Will the product be greater than 15?
Answers
Answer:
NoStep-by-step explanation:
When you divide by a fraction or a decimal you are essentially multiplying that by something lesser than one and so the Calculator, if you are using a Calculator to solve this will, see multiplying something by a decimal or a fraction as a division and vice versa.
find an equation for the nth term of the sequence -4,-16,-64,-256
Answers
Answer:
this should be -262,144 because its -4^9 so you just keep multiplying by 4 until the ninth which is -262,144
4) find the first five terms of the recursively defined sequence.
a1=5, an+1=-3an+1
Answers
Answer:
566556565*7*7/*7+666364
Ahmed fills 6 pitchers with juice. Each pitcher contains 2 quarts 1 pint. How many pints of juice does he have?
Answers
Answer: 30 pints of juice
Step-by-step explanation:
Note: 1 quart = 2 pints.
2 quarts = 4 pints
4 pints + 1 pints=5
So in each pitcher there are 5 pints of juice
5 times 6 = 30
ASTRONOMY!!!
How does the Sun affect electrical power on Earth?
A. Geomagnetic storms can cause surges in power lines that can damage transformers.
B. UV radiation from the Sun causes overheating of transformers.
C. X-rays may damage nuclear reactors by causing stray radiation
D. High-energy radiation interferes with electron in cabling and causes loss of electricity.
Answers
Answer:
I think it's
B. UV radiation from the Sun causes overheating of transformers.
Sorry if i'm wrong.
What is the next term in the following sequence?
54, -18, 6, ...
-2
3
2
-3
Answers
Explanation:
You divide by -3each time
54/-3 = -18
-18/-3 = 6
6/-3 = -2
State if the pair of triangles are similar. If so, state how you know they are similar and
complete the similarity statement
Answers
Can someone please help meee
Answers
Answer:
90 degrees
Step-by-step explanation:
If two angles are supplementary they are a linear pair which means they form a straight line, and if you know a straight line equals 180 degrees which is the total degrees of a triangle.
Now if you have two supplementary angles and they are congruent that means not only are they right angles but its half of 180 so you divide these pair of 2 by 180 giving you your total of 90 degrees.
Have a nice rest of your day !
7. Simplify
(12p27
(2p2q6)
Answers
Answer: 7776p^2q
Step-by-step explanation: