Answer:
2
Step-by-step explanation:
First find out what tan45 means then what sin30 means so tan45=1 and sin30=0.5, 1/0.5=2
The evaluation tan45°/sin30° is 2.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.
The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
given that tan45°/sin30°
Since tan45° is 1 and sin30° is 0.5 so
By that 1/0.5 which comes out as 2.
For more information about the trigonometric function
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On the day of a child's birth, a parent deposits $25,000 in a trust fund that pays 3% interest, compounded continuously. determine the balance in this account on the child's 26th birthday. (round your answer to two decimal places.)
well, on the child's 26th birthday that'll be 26 years later, so
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$25000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &26 \end{cases} \\\\\\ A=25000e^{0.03\cdot 26}\implies A=25000e^{0.78}\implies A\approx 54536.81[/tex]
If f(x) = 3x+ 2 and g(x) = 2x-2, what is (f-8)(x)?
Answer: x + 4
Step-by-step explanation:
If it is asking us for (f - g)x, then we will subtract the function g from function f. Why? The x distributes creating f(x) - g(x), so we use this to solve.
Given:
g(x) = 2x - 2
f(x) = 3x + 2
Set up:
f(x) - g(x)
(3x + 2) - (2x - 2)
Distribute the negatie:
3x + 2 - 2x + 2
Reorder to combine like terms:
3x - 2x + 2 + 2
Combine like terms:
x + 4
(f - g)(x) = x + 4
how many inches are in 1 1/2 ?
Answer:
18 inches
Step-by-step explanation:
Assuming that 1 1/2 is measured in feet:
1.5ft × 12
= 18"
35-12+6×36÷4 simplify it
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathsf{35 - 12 + 6 \times 36 \div 4 }[/tex]
[tex]\huge\textbf{Simplifying:}[/tex]
[tex]\mathsf{35 - 12 + 6 \times 36 \div 4 }[/tex]
[tex]\mathsf{= 35 - 12 + \dfrac{6\times36}{4}}[/tex]
[tex]\mathsf{= 23 + \dfrac{6\times36}{4}}[/tex]
[tex]\mathsf{= 23 + \dfrac{216}{4}}[/tex]
[tex]\mathsf{= 23 + 54}[/tex]
[tex]\mathsf{= 77}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{77}}\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Please help me on this!
Julius is buying beverages for brunch. He needs to buy a total of 5
gallons of beverages. He decides to buy two containers of each
beverage. How many gallons of beverages did he buy?
the beverages:
2 pints of milk, 2 quarts of orange juice, 16 cups of chocolate milk, and 32 ounces of lemonade.
PLSSSSS HELLLPPP LIKE ASAP
5. A moving car has kinetic energy. If the mass is doubled what happens to the
amount of kinetic energy? If the speed is doubled what happens to the amount
of kinetic energy?
Answer:
See below ~
Step-by-step explanation:
Change in KE if mass is doubled
KE (original) = 1/2mv²KE (new) = 1/2 x (2m) x v²KE (new) = mv²⇒ KE is doubledChange in KE if speed is doubled
KE (new) = 1/2 x m x (2v)²KE (new) = 1/2 x 4 x mv²KE (new) = 2mv²⇒ KE is quadrupledA and B are independent events. If P(A) = 0.50 and P(A and B) = 0.20, find P(B).
The independent events are illustrations of probability, and the value of P(B) is 0.40
How to determine the value of P(B)?The given parameters are:
P(A) = 0.50
P(A and B) = 0.20
Two events A and B are independent, if
P(A and B) = P(A) * P(B)
So, we have:
0.50 * P(B) = 0.20
Divide both sides by 0.50
P(B) = 0.40
Hence, the value of P(B) is 0.40
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can someone help me here pls thanks
NONSENSE=REPORT
Answer:
4: 264°; 5: 120°; 6: 54°; 7: 45°; 8: 87°; 9: 27°
9: x=200, y=100; 10: x=68; y=99
Step-by-step explanation:
The relations between angles and arcs in this problem set are ...
The sum of central angles in a circle is 360°The measure of an arc is the measure of the central angle it subtendsThe measure of an inscribed angle is half the measure of the arc it subtends__
B.3.no identifier is given
4.Arc DBC is the difference between a full circle (360°) and short arc DC. The measure of short arc DC is marked as 96°, so ...
arc DBC = 360° -96° = 264°
5.Αrc BC is twice the measure of the inscribed angle BDC it subtends.
arc BC = 2×60° = 120°
6.Arc AB is the difference between 360° and the sum of arcs AD, DC, and CB.
arc AB = 360° -(90° +96° +120°) = 54°
7.Angle ACD is half the measure of arc AD.
Angle ACD = 90°/2 = 45°
8.Angle ADC is half the measure of arc AC, which is the sum of arcs AB and BC
angle ADC = (54° +120°)/2 = 87°
9.Angle ACB is half the measure of arc AB
angle ACB = 54°/2 = 27°
__
C.9.x° is the arc whose central angle is 200°
x° = 200°
y° is half the measure of x°
y° = 200°/2 = 100°
10.The relations between arcs and inscribed angles mean that opposite angles in an inscribed quadrilateral are supplementary.
x° = 180° -112° = 68°
y° = 180° -81° = 99°
find an angle between 0 and 2\pi that is coterminal with -5pi/12
Check the picture below.
4. Lou ran 72 more miles than Lee. Lou ran 128 miles. How many miles did Lee run?
60 Miles
56 Miles
144 Miles
200 Miles
7 students have 8 books each. Which helps you find the total number of
books?
78
7 + 8
с
7-8
D
7.8
Answer:
7x8
Step-by-step explanation:
none of those seem right
The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store in the previous year. A graph shows Number of Bushels on x-axis and Price of Corn in dollars on y-axis. The x-axis scale is shown from 0 to 14 at increments of 2, and the y-axis scale is shown from 0 to 98 at increments of 14. A straight line joins the ordered pairs 2, 14 and 4, 28 and 6, 42 and 8, 56 and 10, 70 and 12, 84. Previous Year Number of Bushels Price of Corn (dollars) 2 10 4 20 6 30 8 40 Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. (5 points) Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work. (5 points)
Answer:
Part A: Rate of change of a bushel of corn is 7
Part B: 2 dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year
Step-by-step explanation:
Let me know if you have any questions !
Elmo decided to take two classes
during summer school. For first period,
he can choose either math or English.
For second period, he can choose
either art, music, drama, or cooking.
How many different schedules of two
classes are possible?
Answer:
There are a total of 8 different schedules.
Step-by-step explanation:
In situations like these, it's best to write down all possible combinations on a tree diagram. However, I use a different way to solve problems like these. For the equation multiply the choices of the first period with the choices of the second period. 2×4=8
You can do this other problems that can include 3 choices, 4 choices, and so on.
The model represents the factorization of 2x2 5x 3. an algebra tile configuration. 4 tiles are in the factor 1 spot: 2 x tiles, 2 tiles. 2 tiles are in the factor 2 spot.: 1 x tile, 1 tile. 10 tiles are in the product spot in 4 columns with 2 rows. first row: 2 x squared tiles, 3 x tiles. second row: 2 x tiles, 3 tiles. what are the factors of the polynomial? (2x 3)(x 1) (2x−3)(x−1) (3x 2)(x 1) (3x−2)(x−1)
The algebra tile configuration that represents the factors of 2x² + 5x + 3 must have a product of (2x + 3) and (x + 1)
How to model the factor?The expression is given as:
2x² + 5x + 3
Expand the expression
2x² + 5x + 3 = 2x² + 2x + 3x + 3
Factorize the expression
2x² + 5x + 3 = 2x(x + 1) + 3(x + 1)
Factor out x + 1
2x² + 5x + 3 = (2x + 3)(x + 1)
The above means that the algebra tile configuration that represents the factors of 2x² + 5x + 3 must have a product of (2x + 3) and (x + 1)
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Answer:
(A) (2x+3)(x+1)
Step-by-step explanation:
got it right on edge 2022
how do I make frequency table
Answer:
To make such a frequency distribution table, first, write the class intervals in one column. Next, tally the numbers in each category based on the number of times it appears. Finally, write the frequency in the final column. A frequency distribution table drawn above is called a grouped frequency distribution table.
Need help in math ASAP
Answer:
Step-by-step explanation:
Givens
Plastic Bag with 3000 cm^3 of sand
Bottle
radius = 7
height = 15 cm
Formula for cylinder
V = pi * r^2 * h
Solution for the Volume of the bottle
V = pi r^2 h
r = 7 cmh = 15 cmpi = 3.14V = 3.14*7*7*15
V = 2307.9
Answer
A
The bottle is too small.
Express tan C as a fraction in simplest terms.
The value of the tangent of C in fraction form will be 2 / 7.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.
Given that:-
The base of the triangle = 21The height of the triangle = 6The value of Tanc will be calculated as:-
tanC = P / B
tanC = 6 / 21
tanC = 2 / 7
Therefore the value of the tangent of C in fraction form will be 2 / 7.
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The circle is rotated around the horizontal dashed line. Which type of geometrical figure will be generated?
A.
cylinder
B.
sphere
C.
ring
D.
cylindrical shell
When the circle is rotated around the horizontal dashed line, the resultant figure is a sphere.
What is a circle?A circle is a round figure. The sum of angles in a circle is 360 degrees. The circle could be rotated to yield another figure.
Thus, when a circle such as the one here is rotated around the horizontal dashed line, the resultant figure is a sphere.
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Answer:
Sphere
Step-by-step explanation:
I got it right on Edmentum
Hook me up with a 5 star and a thanks :)
please help me I will give brainliest
B
because it starts at the rarefraction.
Explain how to prove a theorem with the axiomatic system?
Answer:
my answer is in the picture just tap it
Step-by-step explanation:
pleas heart my answer
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Nancy buys 15 m of ribbon. Her sister buys 6 m less ribbon but pays twice as much per metre. Together they pay R66. What is the price per metre of each type of ribbon?
Answer: 44/9 ----> 22/9
I hope this helps you
Not only would I like the value of x, but also I wonder how I’d go about solving this problem?
Answer:
x = 58
Step-by-step explanation:
This question can be solved by using the exterior angle property, which states that the exterior angle of a triangle = the sum of the two opposite interior angles.
62 lies on a line, so the exterior angle is 180 - 62, or 118 degrees.
Using the EAP, we can conclude the following:
(x + 2) + (x) = 118
2x + 2 = 118
2x = 116
x = 58
Hope this helps
Answer:
X=58
Step-by-step explanation:
1.) 62+2+2x=180
2) 64+2x=180 (add 62 and 2)
3) 2x=116 (subtract 64 from 180)
4)x=58 (divide 116 by 2 =58
Can someone tell me how to evaluate quadratic equations easily with steps (40 points)
here's an example ;^;
f(x) = 3(x + 6)2 - 75
Answer:
See below
Step-by-step explanation:
Expansion
[tex]f(x)=3(x+6)^2-75\\\\f(x)=3(x+6)(x+6)-75\\\\f(x)=3(x^2+12x+36)-75\\\\f(x)=3x^2+36x+108-75\\\\f(x)=3x^2+36x+33[/tex] <-- Stop here if this is what you need
Factorization
[tex]f(x)=3(x^2+12x+11)\\\\f(x)=3(x+1)(x+11)[/tex]
We know from vertex form that the vertex of the parabola is [tex](-6,-75)[/tex] and when factored, the zeroes are [tex]x=-1[/tex] and [tex]x=-11[/tex].
f(x)=−7x 2 +8x+2f, left parenthesis, x, right parenthesis, equals, minus, 7, x, squared, plus, 8, x, plus, 2 What is the value of the discriminant of fff? How many xxx-intercepts does the graph of fff have?
The discriminant of the function is 120, and the function has 2 different x-intercepts
How to determine the discriminant?
The function is given as:
f(x) = -7x^2 + 8x + 2
The discriminant (d) is calculated using:
D =b^2 - 4ac
So, we have:
D = 8^2 - 4 * (-7) * 2
Evaluate
D = 120
Because the value of D is greater than 0, then the function has 2 different x-intercepts
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What is this word phrase as a math expression?
11 times the sum of a number and 15
11y + 15
11+(y+15)
11y + 15y
11(y+15)
11 times the sun of a number and 15
11(y+15)
the answer is d
have great day and I hope you make a good grade
Answer:
D
11(y+15)
Step-by-step explanation:
i really you get this right!
do good on your test!!
2(4x + 1) - 3(5x - 1)
expand and simplify
Answer:
-7x + 5
Step-by-step explanation:
2(4x + 1) - 3(5x - 1)
8x + 2 - 3(5x-1)
8x + 2 - 15x + 3
8x + 5 - 15x
-7x + 5
Hope it helped !
Adriel
Select the correct answer. A company offers its employees free recreational activities and gym memberships. Of the 200 employees, 95 employees registered for recreational activities, 80 employees registered for gym memberships, and 30 employees did not register at all. If an employee is chosen at random, what is the probability that the employee has registered for both recreational activities AND gym memberships?
Answer:
1/40
Step-by-step explanation:
95 + 80 + 30 = 205
205 - 200 = 5
5/200 = 1/40
Took the test and got it right.
Hope this helped!
By using Venn Diagram, one can easily visualize that 5 people out of 200 chose both the activities(or whatever)
So.
[tex] \frac{5}{200} = \boxed{\frac{1}{40}} = 2.5percent[/tex]
(sorry for the s t u p i d handwriting)
8. Find the surface area of the regular hexagonal prism shown below.
Show Work
1.7 in.-
2 in.
8 in.
Melody need 155 bags of 140 cu. inches to fill the vegetable garden.
What is Volume of Cuboid?The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height.
Here, Length of vegetable garden = 48 inch
breadth of garden = 30 inches
height of garden = 15 inches
Volume of garden = Length X width X height
= 48 X 30 X 15
= 21600 cu. inches
Volume of each bag = 140 cu. inches
Number of Bags required = Volume of garden/Volume of each bag
= 21600 / 140
≈ 155
Thus, Melody need 155 bags of 140 cu. inches to fill the vegetable garden.
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The circumference of a circle is 88 ft. Find the diameter to the nearest tenth. Use 227 for .
Answer:
28.0ft
Step-by-step explanation:
22/7= π= 3.142857143
circumference= πd
88= 3.142857143×d
d= 88/3.142857143
d=28.0ft
