Answer:
Since r is the distance from the origin to (x,y), it is the magnitude r=√x2+y2. Alternatively, from the equation (1), one can calculate directly that x2+y2=r2cos2θ+r2sin2θ=r2(cos2θ+sin2θ)=r2.
Step-by-step explanation:
In a tutorial group of 30 students,17 students studied nursing,15 studied economics while 11 studied neither nursing nor economics.How many students studied nursing?
The number of students studying nursing is 17.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
It is given that In a tutorial group of 30 students,17 students studied nursing,15 studied economics while 11 studied neither nursing nor economics.
It is clearly mentioned in the question that the number of students studying nursing is 17.
Therefore, the number of students studying nursing is 17.
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Midpoint (-10,9), (3,8)
Answer:
(-3.5 8.5)
Step-by-step explanation:
Midpoint Formula: ([tex]\frac{x2 + x1}{2}[/tex], [tex]\frac{y2 + y1}{2}[/tex])
What I did: -10 + 3 = 7, 7 / 2 = 3.5 x = 3.5 | 9 + 8 = 17, 17 / 2 = 8.5
Midpoint = (-3.5, 8.5)
38. Persevere in Problem Solving The difference between the solutions to
the equation x = a is 30. What is a? Show that your answer is correct.
Answer:
either a or x, the value is still 30
Step-by-step explanation:
given:
x = a is 30
find:
a = ?
since x = a = 30
a = 30 = x
therefore,
either a or x, the value is still 30
-4/6+-7/9
RATIONAL NUMBER
PLS HELP ME GUYS
IF U ARE THE FIRST PERSON TO ANSWER I WILL MARK U AS THE BRAINLIEST
[tex]-\frac{4}{6} + -\frac{7}{9}[/tex] = [tex]-\frac{13}{9}[/tex]
Step 1: Cancel 4/6 and change to 2/3.
[tex]= -\frac{2}{3} - \frac{7}{9}[/tex]
Step 2: Adjust Fractions based on the LCM.
The LCM of 3 , 9 : 9
[tex]= -\frac{6}{9} - \frac{7}{9}[/tex]
[tex]= \frac{-6 - 7}{9}[/tex]
Step 3: Subtract the numbers : - 6 -7 = -13
[tex]= -\frac{13}{9}[/tex]
Payton goes shopping. She finds two shirts. One costs $24.97 and the other costs $13.75. She needs to
know if she has enough money to buy both shirts. Using mental math, she rounds $24.97 to $25.00 and
adds that to $13.75 to get $38.75. How does Payton need to compensate to find the exact total of the two
shirts?
O A. Subtract $0.03.
B. Add $0.03.
O C. Add $0.25.
OD. Subtract $0.28.
Answer:
A subtract 0.03
Step-by-step explanation:
This is because when she rounded $24.97 to $25.00 she added $0.03 cents so she needs to subtract that amount to get the exact number.
Find the distance between (-5, 2) and (-7, 6).
Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. What will Kermit think of Peggy's iced tea? Choose 1 answer: A It is too strong. B It is too weak. C It is just right.
Answer:
C. It is just right.
Step-by-step explanation:
We want to compare the ratios ...
bags : liters = 15 : 2
and
bags : liters = 90 : 12
If we multiply the numbers of the first ratio by 6, we see they are identical to those in the second ratio:
(15)(6) : (2)(6) = 90 : 12
The ratio of bags to liters for Peggy's tea matches the ratio Kermit likes. He will think it is just right.
Answer:
C its just right
Step-by-step explanation:
How do you solve this problem? 7/10 x 1 1/3
Answer:
77/30
Step-by-step explanation:
7/10 x 11/3 = 7x11 = 77 and 10x3 = 30
the answer is 77/30
To mail a package, UPS charges a $7 flat fee and $2 per pound. FedEx charges
a $5 flat fee and $3 per pound.
Answer:
The package where they charge the same must cost $2
Step-by-step explanation:
Given
UPS
[tex]Flat = \$7[/tex]
[tex]Additional = \$2/lb[/tex]
FedEx
[tex]Flat = \$5[/tex]
[tex]Additional = \$3/lb[/tex]
Required
What pound do both charges are the same
Represent the charges with x;
For UPS, it can be written as:
[tex]Charges = 7 +2x[/tex]
For FedEx:
It is:
[tex]Charges = 5 + 3x[/tex]
Equate these charges together
[tex]5 + 3x = 7 + 2x[/tex]
Collect Like Terms
[tex]3x - 2x = 7 - 5[/tex]
[tex]x = 2[/tex]
Hence, the package where they charge the same must cost $2
please help me with this question ASAP Inequalities 9+3/5x>81/5
9 + 3/5x > 81/5
First, subtract 9 from both sides
3/5x > 36/5
Divide each side by 3/5
x > 12
9(18) using disributive property.
Answer:
162
Step-by-step explanation:
9 * 18 = 162
Answer:
162
Step-by-step explanation:
What the unit rate for this? “9 inches of snow in 3 hous”
Answer:
3 inches per hour
Step-by-step explanation:
divide the number on the y axis (i'm assuming it's inches of snow) by the number on the x axis (i'm assuming its hours)
by doing this you will get 3 inches per hour
Please help thank you
In the complex number a+bi, a is called the Select Answer and b is called the Select Answer
option choices
imaginary part
real part
complex part
radicand
Answer:
A is the real part and B is the imaginary part. i is an imaginary figure. b is how many imaginary figures there are, making it represent an imaginary part
36. Walter and Brian each have a CD collection.
The number of CDs in Walter's collection can be represented by x.
The number of CDs in Brian's collection is 3 times the number in
Walter's collection.
The total number of CDs in both collections is 144.
What is x, the number of CDs in Walter's collection?
A. 108
B. 48
C. 72
D. 36
Answer:
x+3x=144
4x=144
144/4=36
X=36
Step-by-step explanation:
Write 7 23/100 as a decimal
Decimal Answer: 7.23
Step-by-step explanation: 7+23/100 = 7.23
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
compare 0.8 and 7/10
Answer:
O.8 is greater than 7/10
Step-by-step explanation:
0.8 is in the tenths Place So you know that equals 80 ones Out of one hundred. So you have 80/100 if you divide 80 and 100 by ten it reduces to 8/10. You know that 8/10 is greater than 7/10. Hope this helped .
There are 32 classmates that are going to the fair. Each ticket costs $19. What is the total amount the classmates spend for tickets? Use mental math.
Answer:
32 classmates and each classmate pays $19 per ticket. This is a multiplication problem. We can solve this a couple of ways:
32
*19
-------
288
320
-------
608
Another way is to realize 19 is nearly 20, multiply 32 by 20 and then subtract 32:
32
*20
------
640
640
-32
-----
608
So, the answer is $608
Answer:
$608
Step-by-step explanation:
The answer is $608 because each ticket costs $19 and 32 students are going to the fair. Therefore, it's 32 x 19 = 608.
Hope this helps!
Determine the distance between the point (-7,4) and (2,44)
Answer:
41
Step-by-step explanation:
Distance = √[(x1-X2)²+(y1-y2)²]
Sub the values in
and you would get the answer 41.
All of the following equations have the same solution except _____.
-10 = -3 m + 2
2 - 3 m = -10
-3 m + 2 = -10
3 m + 2 = -10
Answer:
All of the following equations have the same solution except 3m + 2 = -10.
Step-by-step explanation:
Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures the slope angle from 30 feet
away from the base of the tree and gets an angle of 62.
If Tamara's eye level is 5.5 feet above the ground, how tall is the tree? (Round your answer to the nearest hundredth)
Answer
Answer:
61.922 feet
Step-by-step explanation:
For this problem, we simply want to set up a trigonometric function that computes the height of the tree, and we want to add the height of Tamara.
We are given a distance from the tree of 30 feet with an angle from her eye-level to the top at 62 degrees. So we can say the following:
y = tan(Θ) * x
Where Θ = 62 degrees, x = 30 feet, and y is the height of the tree from Tamara's eye level.
y = tan(Θ) * x
y = tan(62) * 30
y = 56.422
So we also need to include the height of Tamara to get the total height of the tree from the ground to the top.
56.422 ft + 5.5 ft = 61.922 ft
Hence, the total height of the tree is 61.922 feet.
Cheers.
The height of the tree is 61.92 feet.
Given information:
Tamara wants to calculate the height of a tree outside her home.
She is 30 ft away from the tree.
Tamara's eye level is 5.5 feet above the ground.
The angle of inclination of the top of the tree is 62 degrees.
Let h be the height of the tree.
See the attached image.
Use trigonometric ratios in triangle ABC to calculate the height of the tree as,
[tex]tan62=\dfrac{AB}{BC}\\1.8807=\dfrac{h-5.5}{30}\\h-5.5=56.4217\\h=61.9217\\h\approx61.92\rm\;ft[/tex]
Therefore, the height of the tree is 61.92 feet.
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I NEED HELP .A group of 5 friends is out to dinner. Each of the friends will order the dinner special, and they have a coupon for $10 off the entire bill. Which equation can be used to find the total cost of all the dinners after the coupon is applied? A. 10d + 5 equals c B.v d minus 10 equals c C. 10d - 5 equals c D. 5 D + 10 equals c
Answer:
ok um im in sekond grqade sooory
Step-by-step explanation:
The rule that maps each domain value to its range value is f(x)= ___x.
Answer:
f(x) = 1/2x
Step-by-step explanation:
When x = -4 the output is -2
We are dividing by 2
When x = -2 the output is -1
f(x) = 1/2 x
Check when x = 2
f(2) = 1/2 (2) =1
feet
12. Darcy and Danny were diving on a trip in
the Bahamas. When they stopped to look at a
school of fish, Darcy was 178 feet below the
surface of the water, and Danny was
2
feet
below the surface. Who was closest to the
is
Ire
surface of the water
Danny was closest to the surface of the water.
Here,
Darcy and Danny were diving on a trip in the Bahamas.
When they stopped to look at a school of fish, Darcy was [tex]\sqrt{78}[/tex] feet below the surface of the water and Danny was 17/2 feet below the surface.
What is square root?
A square root of a number x is a number y such that [tex]y2 = x[/tex].
Now,
Darcy was [tex]\sqrt{78}[/tex] feet below the surface of the water.
⇒[tex]\sqrt{78} = 8.83[/tex]
Danny was 17/2 feet below the surface.
[tex]\frac{17}{2} = 8.5[/tex]
Clearly, [tex]8.5 < 8.85[/tex]
Hence, Danny was closest to the surface of the water.
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Algebraic equations with two or more operations can be solved by undoing them in reverse order of operations. True or false?
Answer:
false you would do it in order of operations
someone please help and also show work plz
Answer:
X= -50
Step-by-step explanation:
Subtract 7 from both sides then multiply by 5.
X/5 =-10
5 x -10 = -50
So x= -50
Please help, I'm really confused with these two questions ):
Step-by-step explanation:
The die is rigged, so "not 3" is not a possibility. Ruling out those branches of the tree, there are 4 possible outcomes, one of which is the desired outcome. So the probability is 1/4.
A fair die has six sides that are equally likely, so the probability of rolling more than 2 is always 4/6. The outcome of the first roll does not effect the outcome of the second roll.
Find the product of (x + 7)2
Answer:
2x+14
Step-by-step explanation:
Answer:
2x + 14
Step-by-step explanation:
Step 1:
2 × x + 2 × 14
Answer:
2x + 14
Hope This Helps :)
A bag contains 7 red marbles 4 blue marbles and 5 green marbles. If three marbles are drawn out the bag what is the probability to the nearest 1000th that all three marbles drawn will be green
Answer:
0.063
Step-by-step explanation:
the sqaure root of 130 falls between which consecutive numbers
Your friend has owned a dog for 35 weeks. This is five weeks less than twice as long as he has owned a cat. How long has your friend owned a cat? .
Answer:
20 weeks
Step-by-step explanation:
35+5=40
40/2=20