Answer:
[tex]Cos \ \theta = \frac{\sqrt{7} }{4}[/tex]
Step-by-step explanation:
Given;
Sin θ = 3/4
To calculated Cos θ;
make a sketch of right-angled triangle with following sides;
opposite side = 3
hypotenuse side = 4
then, the adjacent side will be calculated from Pythagoras theorem;
let the adjacent side = b
b² = 4² - 3²
b² = 16 - 9
b² = 7
b = √7
Therefore, Cos θ is now calculated as;
Cos θ = adjacent / hypotenuse
Cos θ = √7/4
[tex]Cos \ \theta = \frac{\sqrt{7} }{4}[/tex]
Therefore, [tex]Cos \ \theta = \frac{\sqrt{7} }{4}[/tex]
A restaurant is offering 2 specials: 10 burritos for $12, or 6 burritos for $7.50. Noah needs 60 burritos for his party. Should he buy 6 orders of the 10-burrito special or 10 orders of the 6-burrito special?
Answer:
6 orders of the 10 burrito special
Step-by-step explanation:
10 burritos for $12
60 burritos for $72.
6 burritos for $7.50
10 burritos for $75
So the 10 burritos for $12 is better.
Hope this helps :D
Mrs. Perez can type 180 words in 6 minutes. What is her average speed in words per minute?
Mia Chloe and tony entered their
Answer:
Option A
Step-by-step explanation:
We know that Mia's frog only jumped [tex]\frac{4}{5}[/tex] the distance of Chloe's frog - which means that Mia's frog must be behind Chloe's frog. Therefore, Mia's frog must also not be in first place.
We also know that Tony's frog jumped [tex]1\frac{1}{4}[/tex] the distance of Chloe's frog - meaning that Tony's frog jumped further than Chloe's frog, since it is above 1. So, Tony's frog is ahead of Chloe's frog. Therefore, Chloe's frog cannot be in first place either.
Let's look at the clues gathered so far:
Tony's frog is ahead of Chloe's frog. Mia's frog is behind Chloe's frog. Mia's frog is not in first place.Using logic, the only option that meets these requirements would be option A. Tony would be ahead of Chloe, Mia would be behind Chloe, and neither of the girls' frogs would be in first place. You could also use the process of elimination to get rid of the other answers.
Amelia wants a rearrange the furniture in her room.She is makes a scale drawing of her rectangular room,in which every 2 inches represents 5 feet.On her scale drawing ,the area of the room 24.96 room inches.Of one side of her room is 12 feet long, how long is the other side of her room, in feet?
Pls And thanks
Answer:
12.8
Step-by-step explanation:
13 feet is the length of the other side of the room.
What is the area of the rectangle ?The formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here, 2inches =5feet thus 1 inch is equivalent to 5/2 feet and let the length of the other side is x
now area of the room is 24.96 inches²
Thus in feet the area is 24.96×(5/2)²=156 feet²
Also 12 × x = 156
x = 13 feet
Hence the length of the other side is equal to 13 feet
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The graph of the function f(x)=V x+4 is shown below
The domain of the function is
Answer:
The function domain is:
{x|x ≥ -4}
Hence, option 4 is correct.
Step-by-step explanation:
Given the expression of the function
[tex]f\left(x\right)=\sqrt{x+4}[/tex]
We know that the domain of the function is the set of input values for which the function is real and defined
We know that the value inside the radical expression must be greater than or equal to 0 so that the function remains defined.
so
[tex]x+4\ge \:0[/tex]
subtract 4 from both sides
[tex]x+4-4\ge \:0-4[/tex]
simplify
[tex]x\ge \:-4[/tex]
Therefore, the function domain is:
{x|x ≥ -4}
Hence, option 4 is correct.
please help me
,...........
Step-by-step explanation:
42 boys can count.
the probability that any pupil is a boy and can count?
0.42
What is the area of the trapezoid?
6 on top 8 in middle and 16 on bottum
Andrew's sandwich consists of a 20-gram piece of cheese, a 60-gram piece of turkey, and two 30-gram slices of bread. What is the total weight of Andrew's sandwich, in kilograms?
Answer:
20g+60g+30g+30g=140g.
Answer: 0.14kg
Step-by-step explanation:
convert to kilograms by moving the decimal over 3 places to the left.
help i mark brainlist
Answer:
Albert 4 both
Step-by-step explanation:
Albert is debting
I think its Albert, but dont take my word for it.
Please help me ASAP it’s times THANK U
Answer:
Only choices C and D are solutions
Step-by-step explanation:
6x + 3y = -15
y = -2x - 5
6x + 3y = -15
6x + 3(-2x - 5) = -15
6x - 6x - 15 = -15
0 = 0
Since 0 = 0 is a true statement, both equations of this system are the same equation and represent a single line on the coordinate plane.
We need to check each choice in just one equation.
Let's use the second equation.
y = -2x - 5
A.
(2, 7)
7 = -2(2) - 5
7 = -4 - 5
7 = -9 False
Not a solution
B.
(5, 0)
0 = -2(5) - 5
0 = -10 - 5
0 = -15 False
Not a solution
C.
(-3, 1)
1 = -2(-3) - 5
1 = 6 - 5
1 = 1 True
Solution
D.
-13 = -2(4) - 5
-13 = -8 - 5
-13 = -13 True
Solution
Answer: Only choices C and D are solutions
A diving board is 12.4 feet above the ground. The bottom of the pool is 16.9 feet below the ground. Use the equation from the previous question to solve the equation. Circle your answer
Answer:
12.4+16.9= 29.3 feet
Step-by-step explanation:
hope this helps
HELPPPP ME PLEASEEEE ASAP PLEASEEEEE
Answer:
number one is 90°
Step-by-step explanation:
number 9 is an acute angle
Answer:
1. Perpendicular
2. Complementary
3. A vertex
4. Midpoint
5. Vertical
6. Angle bisector
7. Supplementary
8. Coplanar
9. An acute angle
10. Congruent
Six years ago $1.200 was put in the bank and in the end earned $485 of simple interest. What was
the interest rate for this bank account?
Show your work
I=
P=
R=
T=
Correct principal is $1200.
Answer:
R = 6.736%
Step-by-step explanation:
Formula for simple interest is;
Interest = PRT/100
We are given;
Principal; P = $1200
Time; T = 6 years
Interest; I = $485
Rate; R =?
From, Interest = PRT/100, we have;
485 = 1200 × R × 6/100
Making R the subject gives;
R = 485 × 100/(6 × 1200)
R = 6.736%
Find the domain and range of the function represented by the graph.
Which table represents a direct variation?
Table A
x
4
6
8
10
y
7
9
11
13
Table B
x
4
6
8
10
y
12
18
24
30
Table C
x
4
6
8
10
y
1
3
5
7
Table D
x
4
6
8
10
y
3
3
3
3
Table A
Table B
Table C
Table D
Answer:
table c
Step-by-step explanation:
Answer:
The answer is table b
Step-by-step explanation:
ducational Television In a random sample of people, said that they watched educational television. Find the confidence interval of the true proportion of people who watched educational television. Round the answers to at least three decimal places.
Complete Question
Educational Television In a random sample of 200 people, 159 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round the answers to at least three decimal places.
Answer:
The 90% confidence interval is [tex]0.748 < p < 0.842[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 200
The number of people that watched the educational television is [tex]k = 159[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{159}{200}[/tex]
=> [tex]\^ p = 0.795[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.645 * \sqrt{\frac{0.795 (1- 0.795)}{200} } [/tex]
=> [tex]E = 0.04696 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.795 -0.04696 < p < 0.795 + 0.04696[/tex]
=> [tex]0.748 < p < 0.842[/tex]
What is the measure of Zx?
Angles are not necessarily drawn to scale.
Y
- Z
106°
Х
W W
O
Answer:
∠x = 74°Step-by-step explanation:
wxz = wxy + yxz
180 = x + 106
x = 180 - 106
x = 74°
Brian deposited $1,075 in an account that pays 2.35% simple interest for 3 ½ years. (9 pts.) How much total interest did the account earn? ______________ What is the ending balance in the account? ______________ How much interest did the account earn in the first year? _______________
Answer:
The total interest the account earned was $88.41.
The ending balance in the account is $1,163.41.
The account earned $25.26 in interests in the first year.
Step-by-step explanation:
The simple interest is one that does not accumulate to the initial capital, that is to say that the capital does not accumulate over the years.
Therefore, if Brian deposited $ 1,075 in an account with an interest of 2.35% per year for 3 and a half years, to obtain the total interest generated by the account, the following calculation must be performed:
(1,075 x 2.35 / 100) x 3.5 = X
25.2625 x 3.5 = X
88.41 = X
Thus, the interest generated during the first year was $ 25.26, while the accumulated interest during 3 and a half years was $ 88.41. In turn, since 88.41 + 1,075 equals 1,163.41, that is the resulting amount after the end of the investment.
What is the first step in isolating the variable in this equation?
(½)p + 75 = 100
A)
Subtract 75 from both sides.
B)
Subtract ½ from both sides.
C)
Divide both sides by 75.
D)
Divide both sides by ½.
Answer:
A. subtract 75 from both sides
Find the area of a square with side length of 4x.
Answer:
16x²
Step-by-step explanation:
since all sides of a square are equal, we just multiply 4x by 4x. this gives us 16x².
The area of square with side length 4x is 16x.
What is Square?A square is a two-dimensional closed shape with 4 equal sides and 4 vertices.
Given,
The side length of a square is 4x
We need to find the area of square.
As we know that area of square = 4a.
Where a is the length of side of a square.
In a square all the four sides will have same length.
a=4x
Area of square=4(4x)
=16x
Hence the area of square with side length 4x is 16x.
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:( please help I am failing
Answer:
4
Step-by-step explanation:
sorry if it wrong
Answer:
4
Step-by-step explanation:
The answer is 4 because if you can count, then you can see that there 4 ticks/lines between each number.
(TIP: Do NOT count the actual number, just the line for the answer)
Which of the following is the graph of x^2 < 25?
Graph A
Graph B
Graph C
Graph E
Graph D
Graph F
Answer:
B
Step-by-step explanation:
Graph B represents the values of x when x²<25.
If you take the square root of both sides, you get ±x<5
This means that x is any value in between, but not including, -5 to +5.
Answer:
i think its b
Step-by-step explanation:
I need help with this! Thanks!!
How is the area of a polygon defined?
Answer:
This simple formula: area = 1/2 x perimeter x apothem.
It means: Perimeter × the sum of the lengths of all the sides.
Hope it helps!<3
Answer:
The surface of the polygon is the total space or area that is limited by the borders of the polygon.
Step-by-step explanation:
This area is the amount of space limited by the borderlines and occupied by a polygon. By definition, the sides of the polygon are the same in size. The area of any polygon can be defined by dividing the polygon into triangles.
If 5/2 kg of carrots cost $3,how much will 3/2 kg cost?
Answer:
first you find out how much will 1/2 kg of carrot cost, that way you can multiply it by 3 to get what 3/2 cost.
So, 3÷ 5 = 0.6 per 1/2 kg. Then 0.6 × 3 = 1.8 dollars for 3/2 kg
assemble the proof by dragging titles to the statements and reason columns
Given: <2 and <4 are vertical angles
Prove: <2=<4
Answer:
ok
Step-by-step explanation:
<2 and <4 are vertical angles <2=<4
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Kyra has a summer job selling ice-cream bars. She is paid $40 per day. She is also paid a commission
of $0.25 for each ice-cream bar she sells.
a. Write an algebraic expression that represents this statement.
b. How much can Kyra earn in one day if she sells 77 ice-cream bars?
Answer:
muliply those numbers. and then divide from the amount of money she has.
Step-by-step explanation:
Al’s dog breathed 130 times in 5 minutes. At this rate, how many breaths should his dog take in 60 minutes?
Answer:
1560 breaths
Step-by-step explanation:
130/5=26
26*60
1560 breaths
Solve –4x + 2(5x – 6) + 2x = 44 for x. Question 7 options: x = –9 x = –5 x = 12 x = 7
Answer:
x = 7
Step-by-step explanation:
[tex] - 4x + 2(5x - 6) + 2x = 44[/tex]
[tex] = > - 4x + 10x - 12 + 2x = 44[/tex]
[tex] = > 8x - 12 = 44[/tex]
[tex] = > 8x = 44 + 12 = 56[/tex]
[tex] = > x = \frac{56}{8} = 7[/tex]
Kyle saves 8% of his income for a new car. This year his salary was $2,000 less than in the previous year, and he saved $3,000. What was his salary in the previous year?
Answer:
let this previous income be x
then 8% of (x-2000) = 3000
or, 8/100*(x-2000) = 3000
or, x - 2000 = 3000/0.08
or, x -2000 = 37500
x = 37500+2000 =39500 is his previous year salary
Step-by-step explanation: