Given:
The ratio is [tex]\dfrac{3}{1}[/tex].
To find:
Inverse tangent of the given ratio.
Solution:
We know that,
Inverse tangent of the ratio [tex]\dfrac{3}{1}[/tex] = [tex]\tan^{-1}\dfrac{3}{1}[/tex]
= [tex]\tan^{-1}3[/tex]
Using scientific or graphing calculator, we get
Inverse tangent of the ratio [tex]\dfrac{3}{1}[/tex] = [tex]71.565^\circ[/tex]
Round to the nearest degree
Inverse tangent of the ratio [tex]\dfrac{3}{1}\approx 72^\circ[/tex]
Therefore, the correct option is C.
Find the value of x.
x + 3
12
Answer:
x=9
Step-by-step explanation:
12=x+3
9=x
you set the sides equal to eachother bc they have the same angles!
Answer:
9
Step-by-step explanation:
x + 3 = 12 (both sides of triangle are equal, because angles are equal)
x= 12 - 3
x = 9
How do I solve this?
Answer:
Answer A represents this
x <= -3 ; x > 9
Step-by-step explanation:
Isolate x on each of the inequalities:
4 x + 4 <= - 8
subtract 4 from both sides
4 x <= - 12
divide both sides by 4 to isolate x completely (notice 4 is positive, so there is NO flipping of the inequality symbol)
x <= -3
This inequality is represented by shading the left section of the number line starting at x = -3 (make sure you draw a SOLID dot to mae clear that the point x = -3 is also included in your drawing.
The other inequality:
11 x - 11 > 88
add 11 to both sides
11 x > 99
divide both sides by 11 to isolate x (notice again that 11 is a positive number, so the inequality doesn't change with the division)
x > 9
This inequality is represented by shadowing the right hand side of the number line starting at x = 9. Make sure you draw an EMPTY dot on the number 9 to indicate that x = 9 is NOT included.
find the value of y and (4x+8)°
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
A, b birer sayı olmak üzere a. b =12 ise a+b nin en büyük ve en küçük değerini bulunuz?
Answer:
en büyük 13 en küçük 7 dir
solve the formula for q
p = 2n + 8q
a. q = p - 2n
b. q = 2n - p / 8
c. q = 2p - n
d. q = 2n - p
e. q = p -2n / 8
please & thank you!!!
Answer:
I think it is B because it makes sense and I have done algebra before.
What is the y-intercept of the Function
Answer:
(0, 3)
General Formulas and Concepts:
Algebra I
Reading a Cartesian planeCoordinates (x, y)The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.Step-by-step explanation:
According to the graph, when x = 0, we see that y = 3. Therefore, our y-intercept is (0, 3).
how do you express 90 inches in yards and inches.
Answer:
90 inch=2.5 yard
Step-by-step explanation:
divide the length value by 36
happy to help ya :)
7. Look at the picture.
There are designated walkways for people at this beach. Why are these walkways constructed?
A) To keep people away from the other animals that live there.
B) To beautify the beach area in order to attract more tourists.
C) To protect the people, especially children, who visit the beach.
D) To protect sand dunes from foot-traffic that contributes to erosion.
Answer:
A
Step-by-step explanation:
Walkways are constructed to keep people away from the other animals that live there. Therefore, the correct option is option A.
What is walkway?In American English, "walkway" refers to any artificial surface or building that facilitates the use of trails. A walkway is described as "a tunnel or path for strolling along, especially. a raised hallway connecting separate sections of such a building or perhaps a wide path inside a park or garden" in the New English American Dictionary.
In New Zealand, wherein "walkways vary significantly in nature, between short urban strolls, to easy seaside areas, to demanding tramps in the high country [mountains]," the word is used to designate a footpath. Walkways are constructed to keep people away from the other animals that live there.
Therefore, the correct option is option A.
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Aaron usually runs 1 1/2 miles each day. However, on
Tuesday he only ran 2/3 of that distance. How far did
Aaron run on Tuesday?
plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
for 7 its r and u and r and s. and for 8 its all.
Step-by-step explanation:
Which ordered pair is a solution of the inequality?
y > 4x - 5
Answer:
(1,1)
Step-by-step explanation:
Can a quadrilateral be both a rectangle and a rhombus
Answer:
no, a rectangle must have 4 right angles and opposite sides are congruent
a rhombus must not have right angles and all sides are congruent
Step-by-step explanation:
Answer:
no
Step-by-step explanation: no it cant since a rhombus has 4 equal sides while a rectangle has 2 sets of equal sides.
In a survey, 150 seventh graders said that they had been to a foreign country. That number represented 20% of the students who were surveyed. How many students were surveyed?
Answer:
750
Step-by-step explanation:
150/2=7.5
7.5*100=750
750*0.2=150
- 3x + 5y = -2
2x - 2y = 1
Solve by elem inaction
Answer:
x=1/4 , y=-1/4. You can confirm this by substituting the numbers in.
Step-by-step explanation:
How many quarts will you get if you mix 5 gallons 5 quarts and 6 pints
Answer:
28
Step-by-step explanation:
There are 4 quarts in a gallon, and since we have 5 gallons that gives us 20 quarts. Then we add the 5 quarts to give us 25 quarts. Finally, there are 2 pints in quart, so that gives us 3 quarts. Add those last three quarts and we get 28 quarts in all.
Total quarts when you mix 5 gallons 5 quarts and 6 pints is, 28 quarts
We have to given that,
To find total quarts if you mix 5 gallons 5 quarts and 6 pints.
Since, 1 gallon = 4 quarts
Hence, 5 gallons = 5 x 4 = 20 quarts
And, 1 pints = 1/2 gallons
Hence, 6 pints = 6/2 gallons
= 3 gallons
So, Total quarts when you mix 5 gallons 5 quarts and 6 pints is,
20 + 5 + 3
28 quarts
Therefore, Total quarts when you mix 5 gallons 5 quarts and 6 pints is,
28 quarts.
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(1,−1)and(6,9) Write the slope-intercept form of the equation of the line through the given points.
Answer:
2
Step-by-step explanation:
So first you would do y2-y1/x2-x1
9-(-1)/6-1
10/5=
2
A washer and a dryer cost $450 combined. The cost of the washer is two times the cost of the dryer. What is the cost of the dryer?
Answer:
$150
Step-by-step explanation:
so you can divvy this up into 3 parts
$150 each
now put 2 parts into one, and one into the other. The cost of the washer is $150
cost of the dryer is$ 300
Polydactyl cats are cats with extra toes. A researcher believes that the proportion of the population of polydactyl cats in region A is greater than the proportion in region B. Let pB represent the population proportion of polydactyl cats in region A, and let pB represent the population proportion of polydactyl cats in region B. Which of the following are the appropriate hypotheses to test the researchers belief?
A. H0 : PA - PB = 0
Ha : PA is not equal to 0.
B. H0 : PA - PB = 0
Ha : PA - P > = 0
C. H0 : PA - PB = 0
Ha : PA - 0 < 0
D. H0 : P^a - P^b = 0
Ha : P^a - P^b is not equal to 0
E. H0 : P^a - P^b = 0
Ha : P^a - P^b > = 0
Answer:
B.
H0 : PA - PB = 0
Ha : PA - PB > = 0
Step-by-step explanation:
The Null hypothesis refers to the initial truth in which of there is no significant evidence provided by statistical analysis will remain ; else, the alternative hypothesis which is the opposite of the Null will be favored in place of the Null.
In the scenario above, the claim by the researcher, that "the proportion of the population of polydactyl cats in region A is greater than the proportion in region B." is the Alternative hypothesis ; Ha : PA - PB > = 0 while the Null will be of the notion that the proportion of polydactyl cats in region A and region B are the same.
need help with this tricky question. thanks
Answer:
E
Step-by-step explanation:
A rectangle has a width of 9 km and a length of 6 km. How does the area change when each dimension is multiplied by 3? The area is increased by a factor of 3. The area is increased by a factor of 6. The area is increased by a factor of 9. The area is increased by a factor of 18.
Answer:
The answer is increased by 9
Step-by-step explanation:
If country A has 161,500 million more computers than country B and the total number of computers for both countries is 321,050 million, find the number of commuters for each country.
Country A has _ million computers and country B has _ million computers.
Answer:
b has 79,775 million
a has 241,275 million
Step-by-step explanation:
a has more than b
b+161,500 is a
b=b
b+b+161,500=321,050
2b=321,050-161,500
2b=159,550
b=159,550/2
b=79,775
a=b+161,500
a=79,775+161,500
a=241,275
Complete each statement then state the property or properties illustrated by each statement on
Answer:
(8n)(-77)=-77(n*8)
We move all terms to the left:
(8n)(-77)-(-77(n*8))=0
We add all the numbers together, and all the variables
8n(-77)-(-77(+n*8))=0
We multiply parentheses
-616n-(-77(+n*8))=0
We calculate terms in parentheses: -(-77(+n*8)), so:
-77(+n*8)
We multiply parentheses
-616n
Back to the equation:
-(-616n)
We get rid of parentheses
-616n+616n=0
We add all the numbers together, and all the variables
=0
n=0/1
n=0
the property is Associative Property
Step-by-step explanation:
this one was kinda hard pls let me know it its right or not
Place the following Numbers in order -5.2, - 28/5 , 1 8/11 , 3/2
Hello!
So, I didn’t know if you wanted me to put them from (Least to Greatest) or (Greatest to Least).. So, I did both.
(LEAST TO GREATEST):
3/2, 1 8/11, -28/5, -5.2
________________________________
(GREATEST TO LEAST):
-5.2, -28/5, 1 8/11, 3/2
________________________________
There you go, I hope this helps! Have a great day/night and stay safe! :)
Just pick the one that you were suppose to find the answer for. :)
What is the answer to n/4 = -9
Answer: n=-36
Step-by-step explanation:
Answer:
-36
Step-by-step explanation:
n/4=-9
Can be rewritten as
n/4 x 4 = -9x4
simplify
n=-36
hi everyone i know all the ansers but i wanna help people too 9x8 2x12
1.45 to 4.35 as a simplified fraction
Answer:
1/45 = 0.02
4/35 =0.1 142857
Step-by-step explanation:
The expression of 1.45 to 4.35 as a fraction in its simplified form is 1/3.
What is a simplified fraction?A simplified fraction is an improper fraction that can no longer be further divided by a divisor. An improper fraction is a fraction with both the numerator and the denominator.
From the information given, we are to express 1.45 to 4.35 as a simplified fraction.
i.e.
= 1.45 as a ratio of 4.35
= 1.45/ 4.35
= 1/3
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[tex] {a}^{2} {a}^{4} {a}^{5} answer \: a40 \: or \: a11 [/tex]
On Monday morning, Mr. Descartes asked his Algebra II students whether they had gone to the carnival in town over the weekend.
"I did," said Kristen. "I went on the Teacups ride twice, the rollercoaster twice, and the Spinning Vortex once. I had a lot of fun for only $20."
"I went on those rides, too!" exclaimed Jorge. "Just once each on the Teacups and rollercoaster, but three times on the Spinning Vortex, all for $25."
"I did five Teacup rides," said Lakesha. "And two rollercoaster rides, and one Spinning Vortex. I spent $29."
Marc listed off the same rides. "Three Teacups for me, plus two rollercoasters, plus two rides on the Spinning Vortex, all for – "
"You don't need to say," interrupted Mr. Descartes. "I know how much you spent."
How much are the rides? How much did Marc spend
Answer:
Cost of one Teacup = $3
Cost of one Roller coaster = $4
Cost of one Spinning Vortex = $6
Marc spent = 3x + 2y + 2z = $29
Step-by-step explanation:
Let
Cost of one Teacup = x
Cost of one Roller coaster = y
Cost of one Spinning Vortex = z
In Kristen case -
2x + 2y + z = $20
In Jorge case -
x + y + 3z = $25
In Lakesha case -
5x + 2y + z = $29
In Marc case -
3x + 2y + 2z = ?
Now, we have
2x + 2y + z = $20 ......(1)
x + y + 3z = $25 ........(2)
5x + 2y + z = $29 .........(3)
Now,
Subtract equation (1) from equation (3), we get
5x + 2y + z - ( 2x + 2y + z ) = $29 - 20
⇒5x + 2y + z - 2x - 2y - z = $9
⇒3x = $9
⇒x = $3
Now,
Multiply be 2 in equation (2) , we get
2x + 2y + 6z = $50 ........(4)
Now,
Subtract equation (1) from equation (4), we get
2x + 2y + 6z - ( 2x + 2y + z ) = $50 - 20
⇒2x + 2y + 6z - 2x - 2y - z = $30
⇒5z = $30
⇒z = $6
Now,
Put the values of x and z in equation (2) , we get
$3 + y + 3($6) = $25
⇒$3 + y + $18 = $25
⇒y + $21 = $25
⇒y = $25 - 21
⇒y = $4
∴ we get
Cost of one Teacup = x = $3
Cost of one Roller coaster = y = $4
Cost of one Spinning Vortex = z = $6
Marc spent = 3x + 2y + 2z = 3($3) + 2($4) + 2($6) = $9 + $8 + $12 = $29
Help please pls pls pls
Answer:
The right answer is neither
Step-by-step explanation:
I said because Exponential describes a very rapid increase. ... Exponential is also a mathematical term, meaning "involving an exponent." When you raise a number to the tenth power, for example, that's an exponential increase in that number. the part involves exponent is the y part same number multiple to it self to get the next answer while the x part one specific number to get the next number which is linear but since theyre asking about the relationship it’s neither because both were supposed to have the same relationship linea for x and y or exponential for x and y but they both are different.
A gardener wants to know if soaking seeds in water before planting them increases the proportion of seeds that germinate. To investigate, the gardener will assign 50 seeds to be soaked before planting and 50 seeds to be planted without being soaked. After two weeks, the gardener will record how many seeds in each group germinated and construct a 95 percent confidence interval for the difference in proportions. Which of the following conditions for inference should be met?
I. The seeds should be randomly assigned to a treatment.
II. The group sizes should be less than 10 percent of the population sizes.
III. The number of successful seeds and unsuccessful seeds in each group should be at least 10.
a. I only
b. II only
c. III only
d. I and III only
Answer:
d. I and III only
Step-by-step explanation:
I. The seeds should be randomly assigned to a treatment.
III. The number of successful seeds and unsuccessful seeds in each group should be at least 10.
The distribution of difference between two sample proportions :
Given :
Proportion 1 = P1 ;
Proportion 2 = P2 ;
Sample assignment for both samples 1 and 2 into the different treatment groups should be randomized, that is a simple random sampling of subjects into the treatment and control group. The sample design for difference between two sample proportions should be independent.
Finally each of the two proportions P1 and P2 should record a minimum of 10 successes and 10 non - successful Occurrences.