Step-by-step explanation:
√3sinA-cosA=√2
dividing both side by (√3²-1²=2 we get)
√3/2 sinA-1/2.cos A=√2/2
cos 30sinA-sin30cosA=√2/(√2×√2)
sinAcos30-cosAsin30=1/√2
sin(A-30)=sin45,sin(180-45)
therefore
A-30=45,135
A=45+30=75 or A=135+30=165
A medical clinic asks all of its patients to complete a quick survey after each appointment. Patients are asked to rate their experience on a scale of 1 to 10, with 1 representing a very poor experience, and 10 representing an excellent experience. The surveys are separated into categories based on age. Then, each month, a random sample of 10 surveys are gathered from each age category. The results of this month's random samples of the 40-60 age group and the 60+ age group are shown below.
40 - 60 2 6 5 5 3 7 3 9 1 4
60+ 4 8 7 10 3 6 5 8 9 5
The mean rating of the 40-60 group is two points _____
than the mean rating of the 60+ group. This difference is about ______
the variability of either group.
Answer:
A. Lower
B. Half
Step-by-step explanation:
Answer:
1. Lower and 2. Half
Me. Strand mowed 3/8 of his lawn. His son mowed 1/3 of it. Who mowed most of the lawn? How mush of the lawn still needs to be mowed?
If you help I will give you brainliest
9514 1404 393
Answer:
5 miles
Step-by-step explanation:
Time/speed/distance problems can be worked a number of ways. Here, we want to know the distance walked. We know the total time and the total distance and the two different speeds. So, we can use a variable to represent the value we want to know: w = distance walked (in miles).
The total time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours.
The total time is the sum of times for the two parts of the trip: walking and riding.
walking time = walking distance/walking speed
= w/3
riding time = riding distance/riding speed
= (20-w)/30
The total time is that given above:
w/3 +(20-w)/30 = 13/6
10w +(20 -w) = 65 . . . . . . . . multiply by 30
9w = 45 . . . . . . . . . . . . subtract 20, collect terms
w = 5 . . . . . . . . . . . divide by 9
The girl walked 5 miles.
-2x-4=16
Show each step of your work.
Answer:
x= -10
Step-by-step explanation:
PEMDAS
First you multiply- -2x?
You don't know what x is so you subtract 4 for 16
16-4=12
2-12= -10
You have 18 pencils.
Seven pencils fit in a pencil case.
How many cases do you need to hold all of your pencils?
Answer:
you need three pencil cases to hold all of your pencil
Answer:
3
Step-by-step explanation:
18 = 7 +7 + 4
Since each box can carry 7 pencils, we need three to hold all of them.
Hope this helps!!
NEED HELP WITH GEOMETRY
Answer:
m<1 = 76°
m<2 = 76°
m<3 = 49°
Step-by-step explanation:
✔️m<1 = 180 - (47 + 57) (sum of triangle)
m<1 = 76°
✔️m<2 = m<1 (vertical angles are congruent)
m<2 = 76° (substitution)
✔️m<3 = 180 - (55 + m<2) (sum of triangle)
m<3 = 180 - (55 + 76) (substitution)
m<3 = 49°
(t−6)^2 t = 11 What is the answer please.
Answer:
25
Step-by-step explanation:
t = 11, so let's put 11 in place of t in the equation.
(11-6)^2
PEMDAS tells us parenthesis first, so let's do that.
(5)^2
Now let's square it.
5*5=25
So there you go, 25 is your answer :)
ANSWER FAST!
The table shows the linear relationship between the number of right tickets purchased and the total cost of admission plus ride tickets at a carnival. which function can be used to find y, The total cost of attending the carnival in purchasing x ride tickets?
A. Y= 25x +8
B. Y= 8x + 25
C. Y= 8x+ 0.25
D. Y= 0.25x + 8
Answer:
c
Step-by-step explanation:
Which statement is NOT true of the equation y = 0.5x?
a. The value of y is one-half times the value of x.
b. The equation represents an additive relationship.
c. The value of y is 4 when the value of x is 8.
d. The equation represents a multiplicative relationship.
Answer:
it would be C do to the fact that 0.5 x 8=4
Priya has a recipe for banana bread. She uses 10 cups of flour to make 2 loaves of banana bread. How much flour does Priya need to make 1 loaf of banana bread
The volume of this cylinder is 1751 cubic units. What is the volume of a cone that has the same base area and the sam height
Answer:
[tex]V_2 = 583.67[/tex]
Step-by-step explanation:
Given
Represent the volume of the cylinder with V1 and the cone with V2.
So:
[tex]V_1 = 1751[/tex]
Required
Find V2
The volume of a cylinder is:
[tex]V_1 = \pi r^2h[/tex]
Because the cone and the cylinder have the same base area and height, the volume of the cone is:
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
Substitute [tex]V_1[/tex] for [tex]\pi r^2h[/tex].
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
[tex]V_2 = \frac{1}{3}V_1[/tex]
Substitute 1751 for V1
[tex]V_2 = \frac{1}{3} * 1751[/tex]
[tex]V_2 = \frac{1* 1751}{3}[/tex]
[tex]V_2 = \frac{1751}{3}[/tex]
[tex]V_2 = 583.67[/tex]
The volume of the cone is 583.67 cubic units
Write an inequality that matches the graph.
A number line from zero to ten is shown. A ray extends to the left from a closed circle at six.
Answer:
[tex]x \leq 6[/tex]
Step-by-step explanation:
because the ray travels left, x has to be lower than 6, and since it is a closed circle, means that 6 is included in the answer, so x is less than or equal to 6.
1/3 divided by 3 1/2
Answer:
2/21
Step-by-step explanation:
Help its pre-algebra haha help plz
Answer:
8 ramen bowls
4 pho bowls
Step-by-step explanation:
12-4=8
HELP ASSAP I need help on this question
Answer:
X= 1, 2, 3, 4, 5
Y= 10, 20, 30, 40, 50
Step-by-step explanation:
hope this helps please press the pink "thanks" button
5th grade math. Correct answer will be marked brainliest.
Write an expression showing 5 less than the number .
Answer:
if the number is anything then I pick 10 so 5 because 10 - 5 = 5 I guess lol
Step-by-step explanation:
Answer:
k-5
Step-by-step explanation:
17 Which is a true statement? Standard 8.3
A All rational numbers are whole numbers.
B All irrational numbers are integers.
C All negative integers are irrational numbers.
D All positive integers are rational numbers.
Whe
Answer:
D All positive integers are rational numbers.
Step-by-step explanation:
Integers are rational numbers
Which of the following can you use to find 20 percent of 48
1. 002(48)
2. 02(48)
3. 2(48)
4. 20(48)
Answer:
It's number 2
Step-by-step explanation:
20% of 48 is 9.6
HELP guys i need extra to pass in my school and i am still failing by three points please i cant get it up on my own Madison has $6.50. Potatoes are $0.50 per pound. How many pounds of potatoes can Madison afford to buy?
In two or more complete sentences write and solve an inequality for this situation. Explain how you would solve this inequality.
Answer:
0.5p < 6.50
p < 13
Step-by-step explanation:
The inequality would be p < 13. Since Madison can't spend more than 6.50, the cost of potatoes would need to be less than 6.50. To solve the inequality, you would have to divide both sides by 0.5, giving you p < 13.
Answer:
Madison can buy 13 pounds of patatoes.
Step-by-step explanation:
You have to divide 6.50 by 0.50, but in order to do that you have to move the decimal on both sides two times to the right then you can divide. Then to double check you muliply 13 by 50.
7. The school librarian orders 35 new
books each year. How many new
books did the librarian order in the
past 12 years?
Answer:
420
Step-by-step explanation:
35x12
I need help with this problem
Solve the following inequality for w 8w+8>-10w-5
Answer:
Step-by-step explanation:
8w+8 > -10w-5
18w + 8 > -5
18w > -13
w > -13/18
Stella is writing an essay. She writes 2 pages in 16 minutes. The number of pages represented by p and time is represented by t. [2 points]
Part A) Fill in the table below.
Pages (p) Time (t)
2 16
(a) 32
5 (b)
Answer:
I think the answer is 32
Step-by-step explanation:
if you multiply 16×2 it will equal 32
Given that f(x) = 2x - 5, find the value of x that makes f(x) = 15.
а
5
b
10
20
Od
25
Answer:
When x=10 f(x) is equal to 15
Step-by-step explanation:
Just substitute the two equations, 15=2x-5 -> 20=2x -> x=10.
D
А
A
10
ол |
3
сл| -
alw
Answer:
1/5 is the answer eeeeeeeeeeeeee
Bill- Subtotal: $34.95 Tip: 15% (Find 15% of 34.95)
Answer:
I believe that 15% of 34.95 would be 5.24
Step-by-step explanation:
An equation is shown below:
8(2x − 14) + 13 = 4x − 27
Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)
Part B: What value of x makes the equation true? (4 points)
Explain the parts please and i will give brainliest the best best explained one.
Answer:
x = 6
Step-by-step explanation:
8(2x − 14) + 13 = 4x − 27
solve everything in parentheses
16x - 112 + 13 = 4x - 27
subtract 4x from each side of the equation
16x - 4x - 112 + 13 = 4x - 27 - 4x
reduce
12x - 112 + 13 = -27
combine those known numbers
12x - 99 = -27
add 99 tooth sides of the equation
12x - 99 + 99 = -27 + 99
reduce
12x = 72
divide both sides by 12
12x / 12 = 72 / 12
reduce
x = 6
thank yousm if you can help
Answer:
A
Step-by-step explanation:
To move something up or down, it means we're moving along the y-axis. So we need to change the y-coordinate.
To move it up, we'll be moving towards the positive end of the y-axis. On a coordinate plane, if you move anything "up," you're moving closer to the positive end of the y-axis.
To move it five units up, we need to move 5 units positively.
So our y is:
y + 5
To move something left or right, it means we're moving it along the x-axis. So we need to change the x-coordinate.
To move it left, we'll be moving it towards the negative end of the x-axis. Think about it: on a basic number line (which is what the x-axis is), the more you move towards the left, you move closer to 0, and therefore the negative end.
To move it 2 units left, we need to move 2 units negatively.
So our x is:
x - 2
Putting them together, we have:
(x, y)
(x - 2, y + 5)
I need help with this problem if anyone can help ASAP please help !
Answer:
42
Step-by-step explanation:
