Answer:
45°
Step-by-step explanation:
Ok, so, there is one thing I need to point out. 45° is the 'main' value if you assume 0°<A<180°. However, sin, cos, and tan have different periods which means that there are infinite values of A where tanA = 1. The general notation that you could put is A = 45° + (n*180°) where n is just a number. For example, if n = 1, you would get an angle of 225°. If you plug tan225° into the calculator, you get 1. If you did radians, you could write A = [tex]\frac{\pi}{2} + n\pi[/tex]. But ignore that if you haven't. Basically, the answer would be 45° if you are assuming A is between 0° and 180°. Also, you could have just used your calculator and types inverse tan function ([tex]tan^{-1}[/tex]) and plug in 1 to find the primary answer of 45.
In the first week of July, a record 1020 people went to the local swimming pool. In the second week,100 fewer people went to the pool than in the first week. In the third week,130 more people went to the pool than in the second week. In the fourth week,132 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answer: 10%
Step-by-step explanation:
The following information can be gotten from the question regarding the number of people that went to the swimming pool are:
First week of July = 1020
Second week = 1020 - 100 = 920
Third week = 920 + 130 = 1050
Fourth week = 1050 - 132 = 918
The percentage decrease over the four weeks will be:
= (1020 - 918)/1020 × 100
= 102/1020 × 100
= 10%
Solve x + 9 = 15 O x = 6 O x = -8
Answer:
x = ± √15
Step-by-step explanation:
x 2 - 15 + 15 = 0 + 15
√ x 2 = ± √15
x = ± √15
Order the numbers from least to greatest. -6.6, 5.8, 6 3/4, 4.45 Explain your steps
Answer:-6.6, 4.45, 5.8, 6 3/4
Step-by-step explanation:
Which rational number is larger 5/4 or 1/4
Answer:
5/4
Step-by-step explanation:
Yeeeeeeeeeeeeeeeeeeeeeeee
Answer:
5/4
Step-by-step explanation:
Find the value of the expression below.
15 + 5 × 3
-------------- (fraction)
3² + 6
5
4
2
Answer:
2
Step-by-step explanation:
15 + 5 × 3
________
3² + 6
For this question, we need to use PEMDAS to solve the question correctly. PEMDAS stands for "parentheses, exponents, multiplication, division, addition, subtraction". In this question, for the numerator, we see 5 x 3 so that's multiplication. So we multiply those together to get 15. In the denominator, there's an exponent which is 3². We have to find the square of 3 so that we can simplify the denominator as well. That simplifies to 9:
(15+15)/(9+6)
Next, we just have to add the 15+15 in the numerator together and 9+6 in the denominator together:
30/15
Finally, we divide 30/15 to get 2 as our answer
2
The cafeteria staff at Bryan County Middle School served 125 sixth graders on the first day of school. Out of the 125 students, 102 of them chose to drink chocolate milk. What decimal represents the fraction of students who did NOT choose to drink chocolate milk?
Answer:
[tex]Fraction = \frac{23}{125}[/tex]
Step-by-step explanation:
Given
[tex]Total = 125[/tex]
[tex]Chocolate = 102[/tex]
Required
Determine fraction who do not drink chocolate
First, we need to determine the number of those who do not drink chocolate
[tex]No\ Chocolate = 125 - 102[/tex]
[tex]No\ Chocolate = 23[/tex]
Their fraction is calculated as thus
[tex]Fraction = \frac{No\ Chocolate}{Total}[/tex]
[tex]Fraction = \frac{23}{125}[/tex]
What is the missing exponent
Answer:
x^5 is the missing
The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each minute of service Which equation can be used to determine c, the monthly charge based upon the number of minutes (m) of service each month. C = 25m + 0.05 c = 25m + 0.05 c = 0.05m + 20 c = 0.05m + 20 c = 25m + 0.05 c = 25m + 0.05 m = 0.05c + 30
Answer:
c= 25+0.05m
Step-by-step explanation:
Given that,
The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each minute of service.
$25 is fixed here and charge $0.05 for each minute of service.
We need to find the equation that can be used to find the monthly charge based upon the number of minutes (m) of service each month.
c= 25+0.05m
Hence, this is the required equation.
when three times a number which is positive is subtracted from the square of that number the answer is 28.find the number??
Answer:
1.94
Step-by-step explanation:
Let the number be x
So when three times a number which is positive which means when a number is x so three times a number must be 3x is subtracted from the square of that number ,
now the number 3x is subtracted from its own square i guess it should look like this
[tex](3x)^2-3x[/tex]
and the answer is 28 so the final form of the problem should be
[tex](3x)^2-3x=28[/tex]
[tex]9x^{2} -3x-28=0[/tex]
now we solve the quadratic equation by using the quadratic formula and we two values for x
one is a positive value and the other is negative value we take the positive value as said in the question itself "when three times a number which is positive" so that value of x is 1.94
why are you allowed to move the decimal points before dividing with decimals? Explain your reasoning
Answer:
Well the decimal points have to all be underneath eachother they can’t be all over the place or else you wouldn’t know where you need to put your decimal for your answer.
Step-by-step explanation:
Answer:
Sample Response: If you move the decimal point the same number of places in the dividend and the divisor, you are multiplying them both by the same power of 10. That does not change the quotient
please help me with this.
Answer:
I think ans-d is the answer
Step-by-step explanation:
plz mark me as brainlist
Triangle PQR and triangle RST are similar right triangles PO
OR represents the Slope of the line PR. Set up an equivalent ratio for the Slope of the line RT. (Use the corresponding sides of triangle RST)
Please show work.
Answer:
[tex] \frac{PQ}{QR} = \frac{-4}{3} [/tex]
Step-by-step explanation:
Given that ∆PQR ~ ∆RST, if [tex] \frac{PQ}{QR} [/tex] gives us the slope of line PR, it will also be equivalent to the slope of line RT, which is given as [tex] \frac{PQ}{QR} [/tex].
Therefore:
[tex] \frac{PQ}{QR} = \frac{RS}{ST} [/tex]
[tex] \frac{PQ}{QR} = \frac{-5 - 3}{2 -(-4)} [/tex]
[tex] = \frac{-8}{2 + 4} [/tex]
[tex] = \frac{-8}{6} [/tex]
[tex] \frac{PQ}{QR} = \frac{-4}{3} [/tex]
URGENT! The flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the measure of the third angle of the triangle is 20 ° more than the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)
decorative image
Answer: [tex]53\frac{1}{3}[/tex]
Step-by-step explanation:
(x+20)+2x
x = 53.333333
What is the solution to the linear equation?
–12 + 3b – 1 = –5 – b
b = –2
b = –1.5
b = 1.5
b = 2
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
The solution to the linear equation –12 + 3b – 1 = –5 – b is:
b = 2
The linear equation is:
–12 + 3b – 1 = –5 – b
Collect like terms
-12 - 1 + 5 = -b - 3b
Simplify the rearranged equation
-8 = -4b
Divide both sides by -4
[tex]\frac{-8}{-4} = \frac{-4b}{-4}[/tex]
The given expression, after dividing both sides by -4, will give:
2 = b
Rewriting the resulting solution:
b = 2
Therefore, the solution to the linear equation –12 + 3b – 1 = –5 – b is:
b = 2
Learn more here: https://brainly.com/question/2159099
A sequence of numbers is 0, 12, 24, 36, 48,.... Drag tiles to complete the statements.
Answer:
60 and 72
Step-by-step explanation:
We can tell that each number is being added by 12 so add 48 with 12 and you get 60 and add 12 to 60 you get 72
Geometric
Question is on a picture
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex] {4}^{2} - ( { - 2}^{2} ) \\ 16 - 4 \\ 12[/tex]
How to simplify 80/7
Answer:
[tex]11 \frac{3}{7}[/tex]
Step-by-step explanation:
80 divided by 7 is 11 with a remainder of 3.
Answer:
11 3/7
Step-by-step explanation:
How you get this is you divide 80 from 7. Since it is 11.(So many numbers), you are going to take that number you just got, and multiply it from 7- the number you were dividing. You will get 77. Then you minus it. 80-77 is 3, so your answer would be 11 3/7. Since this can't be reduced more, this is your answer.
What is -9 over 22 divided by -3 over 4 in fractions?
Answer: 6/11
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
You'll need to make compatible numbers first. Turn 22 to 44 and 4 to 11. Then change -9 to -18 and -3 to -6. -9 times -3 equals 3. and 44 divided by 11 is 4. So your answer is 3/4
Mr. Friedline is an incredible gardener. He has a
rectangular plot of land that he uses for his garden in his
backyard that measures 74.52 square feet. Recently,
animals have been getting into his garden, so he wants to
put up a fence around the garden. At the Home Depot, the
fence will cost $8.95 for each foot he needs. If the length
of the garden is 8.1 feet, how much will it cost Mr. Friedline
to put a fence around his garden?
Answer:
8.1 x 8.95 = 72.495
Step-by-step explanation:
Feet x $f = $$$
1 pound of a certain candy cost $8, how many pounds can be purchased for $12?
Answer:
1.5 pounds
Step-by-step explanation:
1 pound costs $8, $1 buys 1/8 pound
$12 buys 12/8=3/2=1.5 pounds
Answer:
12-8= 4
Step-by-step explanation:
one pound of it cost 8 dollars and he only has 12 so subtract 8 from 12 he only has enough to buy 1 pack.
Mac wants to buy ice cream cones. It would cost $8.25 for 3 ice cream cones. At this rate how much will she spend on only 2 ice creams cones? What information is given to solve the problem? B. What do you need to solve for?
Answer:
see below
Step-by-step explanation:
We can use proportions to solve
$8.25 x
------------- = ------------
3 cones 2 cones
Using cross products
8.25 * 2 = 3x
16.50 = 3x
Divide by 3
16.50 /3 = x
5.50 =x
2 cones will cost 5.50
i need help in finding numerical value please
Answer:
Step-by-step explanation:
[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]
[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]
[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]
[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]
[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]
= 3* 1.732 - 4 *1.4142
= 5.196 - 5.6568
= -0.4608
Exact Answer: [tex]4\sqrt{2} - 3\sqrt{3}[/tex]
Approximate Answer: 0.46070182678574
Round the approximate value however you need to.
=================================================
Work Shown:
[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]
[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]
-------------------
Note: The rule used here is
If x is positive then [tex]\sqrt{x^2} = x[/tex]
Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]
Since B-A = -0.4607 approximately, we will use the second version of the rule above.
help me solve for the red variable
Answer:
i just need points
Step-by-step explanation:
Please help me with this !!
Answer:
All of the points would be eight places lower in the y value
Step-by-step explanation:
Lets check by putting 8 in the place of x y= 8^2 which equals 64, that means that y equals 64, then do the second equation y = 8^2 - 8 which equals 56, which means y equals 56, 64 minus 56 equals 8 so they have a difference of 8.
Dan has 4 over 5 cup of ice cream. How many 1 over 8 -cup servings are in 4 over 5 cup of ice cream?
A. 6 and 2 over 5
B. 6 and 1 over 2
C. 8 and 2 over 5
D. 8 and 1 over 2
Answer:
it is A
Step-by-step explanation:
you have to do Keep Change Flip on the step one that's on the picture 4 * 8 equals 32 five of the nominator * 1 equals 5 the answer is 32/5 they are asking another way to explain this answer. 6 2/5 is the answer because 5 times 6 =30 plus 2 thats on the top = 32/5
Which choice shows the following rational numbers in order from least to greatest?
1.6
9/10
15/8
190%
1 1/2
I will give BRAINLIEST!!!!!!!
Answer:
It is A trust.
Step-by-step explanation:
9/10 is the lowest because it is the only number that isn't whole then 1 1/2 cause it is one and a half with is equivalent 1.5 then 1.6 15/8 because it is 1 7/8
then 190% because it is the largest number
Answer:
tfgvb
Step-by-step explanation:
tfgcv
Holly made 3/5 of a quart of tea for her tea party. She plans to fill small tea cups that hold 3/10 of a quart of tea. How many cups can holly fill?
Answer:
2 Cups
Step-by-step explanation:
Converting both fractions to have the same denominator, she has 6/10 of a quart, and each cup holds 3/10. Since she only has 6, 6/3 is 2.
The number of cups she can fill will be 2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Holly made 3/5 of a quart of tea for her tea party. She plans to fill small tea cups that hold 3/10 of a quart of tea.
The number of cups will be calculated as follows:-
Number = ( 3 / 5 ) ÷ ( 3 / 10 )
Number = ( 3 / 5 ) ÷ ( 10 / 3 )
Number = 10 / 5 ) = 2
Therefore, the number of cups she can fill will be 2.
To know more about an expression follow
https://brainly.com/question/28699958
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standard form help me
HELP PLEASEEEE!!
Choose the equation with the correct grouping symbols.
A. 45 + 45 ÷ (3 ÷ 3) = 20
B. 45 + [45 ÷ (3 ÷ 3)] = 20
C. [45 + (45 ÷ 3)] ÷ 3 = 20
D. 45 + (45 + 3 ÷ 3) = 20
Answer:
C
Step-by-step explanation:
(45+(15))/3=20
Plz help with this problem
Answer:
A)2x+7
Step-by-step explanation:
-x+5+3x+2
2x+7