Determine the exact value of sin 30° tan 45° + tan 30° sin 60⁰
Answers
Answer:
1.
Step-by-step explanation:
1) if sin30=0.5; tan45=1; tan30=1/√3; sin60=√3/2, then
2) 0.5+0.5=1.
Related Questions
Can someone help me with this please?
Answers
The final matrix will be as follows [tex]\rm D-C=\left[\begin{array}{ccc}12&-2&3\\3&1&-2\\\end{array}\right][/tex]
What are matrices?A matrix is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns in mathematics.
The calculation of the given matrix is as follows:-
[tex]\rm D-C= \left[\begin{array}{ccc}13&2&-5\\6&-4&0\\\end{array}\right] - \left[\begin{array}{ccc}1&4&-8\\3&-5&2\\\end{array}\right] \\[/tex]
[tex]\rm D-C= \left[\begin{array}{ccc}(13-1)&(2-4)&(-5+8)\\(6-3)&(-4+5)&(0-2)\\\end{array}\right][/tex]
[tex]\rm D-C=\left[\begin{array}{ccc}12&-2&3\\3&1&-2\\\end{array}\right][/tex]
Hence the final matrix will be as follows [tex]\rm D-C=\left[\begin{array}{ccc}12&-2&3\\3&1&-2\\\end{array}\right][/tex]
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what is 7sqrt 28z+sqrt63z
Answers
Answer:
[tex]17\sqrt{7z}[/tex]
Step-by-step explanation:
[tex]7\sqrt{28z}+\sqrt{63z}\\ = 14\sqrt{7z}+3\sqrt{7z} \\= 17\sqrt{7z}[/tex]
5. A ball is thrown upward with an initial velocity of 50 feet per second. The
height h (in feet) of the ball after t seconds is given by h =
= -16t2 + 50t. At
the same time, a balloon is rising at a constant rate of 20 feet per second. Its
height h in feet after seconds is given by h = 20t.
a. When do the ball and the balloon reach the same height?
b. When does the ball reach its maximum height?
c. When does the ball hit the ground?
Answers
Answer:
SEE BELOW IN BOLD.
Step-by-step explanation:
a.
h = -16t^2 + 50t
h = 20 t
When the height is the same:
-16t^2 + 50t = 20t
-16t^2 + 30t = 0
t(-16t + 30) = 0
t = 0 or -16t + 30 = 0, so:
t = 0 or -30/-16 = 1.875
So the answer is 1.88 seconds to the nearest hundredth.
b.
For the ball
h = -16t^2 + 50t
Finding the derivative and equating to zero:
dh/dt = -32t + 50 = 0
t = -50/-32 = 1.563
Maximum height after 1.56 seconds to nearest hundredth
c.
When the ball hits the ground h = 0 so
-16t^2 + 50t = 0
-16t(t - 50/16)= 0
T = 3.13 SECONDS TO THE NEAREST HUNDERDTH
help with this??? i beg of you☹️☹️
Answers
Answer:
The answer is 3 cm.
Step-by-step explanation:
To find the width of the cereal box, we must first take the volume and divide it by the length and then divide that by the height.
For this equation, we would do the following:
3456 ÷ 36 = 96 cm²
Now that we have divided volume by length, let's divide by height next:
96 ÷ 32 = 3 cm
Now we know the height of the box. To check if this is correct, lets multiply the length, height, and width and see if we get the volume that we started with.
3 × 32 × 36 = 3456 cm³
Since we got the original volume that we started with, we know that the width is 3 cm which is your answer.
Can someone please help me with this ?
Answers
Answer:
sorry I haven't learned this yet
Step-by-step explanation:
is 300 greater than 1/2?
Answers
Answer:
yes
Step-by-step explanation:
1/2 is half of 1.
300 is 300 times greater than 1, so 300 is 600 times greater than 1/2.
Answer:
Yes, 300 is greater than 1/2
The term "Volume" in finance means...
A)highest price paid for a share in a given day
B)total shares traded during a certain time frame
C)change between current day's and previous day's close
D)loudness or softness in the market
Answers
The “Volume” in finance means total shares traded during a certain time frame option (B) is correct.
What is shares?To make a profit, share traders buy and sell the stock of companies listed on the stock exchange.
The number of shares traded in a certain stock, index, or other investment during a given period of time is known as volume.
Thus, the “Volume” in finance means total shares traded during a certain time frame.
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Jacob learns that the mass of a new planet found in the solar system is 2,330,000,000,000,000,000,000,000 kilograms. What is the mass represented in scientific notation? A. 2.33 × 1024 kilograms B. 2.33 × 10-24 kilograms C. 2.33 × 1023 kilograms D. 23.3 × 1023 kilograms
Answers
Answer:
2.33 x 10^24 kilograms
Step-by-step explanation:
hope this helps!!
=2.33 × [tex]10{^{21}[/tex]
scientific notation
= 2.33e21
scientific e notation
= 2.33 × [tex]10{^{21}[/tex]
engineering notation
= 2.33 × [tex]10{^{21}[/tex]
21
Order of Magnitude
for scientific and standard forms
two setillion three hundred thirty quintillion
Sophia and Emilio are looking for a daycare for their son, Michael. They want to make sure the daycare is midway between their jobs. Sophia works at the HEB located at (4, 6), and Emilio works at the Home Depot located at (1, 2). Where should the daycare be located?
(2.5, 4)
(1.5, 5)
(1.5, 2)
(2,3)
Answers
Answer: 2,3
Step-by-step explanation: I think this is the right answer. Have a good day!! :)
x–23=17 solving the following equation
Answers
Answer:
X=42
Step-by-step explanation: x-23=17 you would do the inverse of subtracting which would be addition which would be 23+17 which equals 42
The equation of the line in this graph is
y= ____ x+____ .
Answers
Explanation:
In slope intercept form equations, the initial value is where everything begins. In this equation, that would be at the point (0,3). From there, because it is going up toward the right side, there is a positive slope. The formula for slope is rise over run, so to get our slope, we have to go up 3 units and over 2 units.
Please help explain, tyy
Answers
Answer:
3. (3, 6)
4. (3, 7)
5. (3, 36)
Step-by-step explanation:
These are slope functions, so there's is no definite answer for x as it tells you to solve when x is 3. So put simply lets do that. Knowing that x is now 3, we can solve for all the functions. This will give you y, which is f(x) which just tells you the equations represents a function or slope on a graph. All these equations create lines. Solving for question 3, 3 + 3 is 6, so f(x) = 6, and the answer is (3, 6). For 4, you do 3 x 3 - 2, which is 9 - 2 = 7. So (3, 7). So on and so forth.
Please help I’m very confused
Answers
Answer:
C. 21 1/9
Step-by-step explanation:
6 1/3 cups / 0.3 cups in a serving = 21.11111... or 21 1/9
Which polynomial function has a root of 1 with
multiplicity 2 and a root of 6 with multiplicity 1?
Of(x) = (x - 1)(x-6)
Of(x) = 2(x - 1)(x - 6)
Of(x) = (x - 1)(x - 1)(x-6)
O f(x) = (x - 1)(x-6)(x-6)
Answers
Answer:
C) f(x) = (x - 1)(x - 1)(x-6)
Explanation:
Multiplicity means number of times a factor appears in a particular equation.
For example, a root of 3 has multiplicity of 3 then = (x - 3)(x - 3)(x - 3)
Breakdown for this question:
If a polynomial where root of 1 has multiplicity of 2, then it means (x - 1)²
Where polynomial of root of 6 has multiplicity of 1, then it means (x - 6)
Joining them together:
(x - 1)²(x - 6) = (x -1)(x - 1)(x - 6) Hence option C is correct.
Spinner A and Spinner B below are each to be spun once.
If the pointer CANNOT land on a line, how many different outcomes of a number and a color are possible?
18
12
9
6
Answers
Answer:
9
Step-by-step explanation:
Spinner A = 6 outcomesSpinner B = 3 outcomes6 + 3 = 9Which of the following are solutions to the inequality below? Select all that apply.
11 ≥ a a = 10 a = 2 a = 8 2 = 3
Answers
Answer:
a = 10
a = 2
a = 8
Step-by-step explanation:
The inequality:
11 ≥ a
We will go through all the options:
-> In short, all values less than or equal to 11 will be solutions.
a = 10
11 ≥ a
11 ≥ 10 ✓
-
a = 2
11 ≥ a
11 ≥ 2 ✓
-
a = 8
11 ≥ a
11 ≥ 8 ✓
-
2 = 3
N/A, no 'a' variable given.
A raised gardening bed contains 24 cubic feet of dirt. The bed is 6 feet wide and 8 feet long. How deep is the dirt in inches?
Answers
Answer:
0.5 feet
Step-by-step explanation:
Volume = Length × Width × Depth
Here :
Volume = 24 ft³Width = 6 ft.Length = 8 ft.Solving :
24 = 8 x 6 x DepthDepth = 24/48Depth = 0.5 feetidentify the open intervals on which the graph of the function is concave upward or concave downward.
Answers
The concavity of the function in this problem is classified as follows:
Concave up: (-2,2).Concave down: (-∞, -2) U (2, ∞).When a function is concave up and when it is concave down?A function is said to be concave up when ts graph behaves like a portion of a parabola that opens upward.A function is said to be concave down when ts graph behaves like a portion of a parabola that opens upward.Hence the intervals are given as follows:
Concave up: (-2,2).Concave down: (-∞, -2) U (2, ∞).More can be learned about the concavity of a function at https://brainly.com/question/31402878
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Find dy/dx if y= (x²-3)³cos2x
Answers
Answer:
dy/dx = 6x(x²-3)cos2x - 2(x²-3)³sin2x
Step-by-step explanation:
We use the Product Rule:
y= (x²-3)³cos2x
dy/dx = (x²-3)³ d(cos2x)/dx + cos2x * d ((x²-3)³)/dx
= (x²-3)³ * -2sin2x + cos2x * 3(x²-3)*2x
= -2sin2x*(x²-3)³ + 6xcos2x*(x²-3)
= 6x(x²-3)cos2x - 2(x²-3)³sin2x
Help (ಥ‿ಥ)
Factor the perfect square trinomial 25x2 - 60x + 36.
A. (5x – 4)(5x-9)
B. (5x-6)2
C. (5x - 3)2
D. (5x - 12)(5x - 3).
Answers
Answer: B
Step-by-step explanation:
Pedro is sailing his boat and maps his route on a coordinate plane. He starts at the origin and then sails 1.2 kilometers west, 1.5 kilometers south, 2 kilometers west again, and 2.8 kilometers north.
Answers
Pedro's total distance moved is 7.5 kilometers
How to determine the total distance?The given parameters are:
West = 1.2 kilometersSouth = 1.5 kilometers West = 2 kilometersNorth = 2.8 kilometersThe total distance is the sum of the above distances i.e.
Total = 1.2 km + 1.5 km + 2 km + 2.8 km
Evaluate
Total = 7.5 km
Hence, Pedro's total distance moved is 7.5 kilometers
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Find the factor of each ff.
10x²-21x-27
Answers
Answer: (10x + 9) (x - 3)
Step-by-step explanation:
Factor by grouping
AABC is isosceles.
mZC = 25° and mZA = 8x - 7.
Answers
Answer:
x = 4
Step-by-step explanation:
<C = <A
25° = 8x - 7
32 = 8x
x = 4
Please help me out!
Answers
Answer:
it is the there'd one
if this is wrong sorry
Precalculus.
Which one of these a whole number?
55
[tex]\sqrt{3}[/tex]
0.3
[tex]\frac{1}{4}[/tex]
Do answer.
Answers
Answer:
55
Step-by-step explanation:
Since whole numbers do not include fractions and decimal values, 55 is the answer
Which of the following is equivalent to S = {spring, summer, autumn, winter}?
(you may select more than one)
{x | x = states in the United States}
{x|x is a season}
{x|x = planets in our solar system}
{x | x = former Presidents of the United States}
{x|x ≥ 1 and x < 5}
{x | x = sides of a standard dice}
Answers
Answer: {x | x is a season}
Step-by-step explanation:
Spring, summer, autumn, and winter are all seasons.
A car travels for 7 hours and 50 minutes at an average speed of 130 km/h. How far has the car travelled (in km)?
Answers
The car that travels for 7 hours and 50 minutes at an average speed of 130 km/h covered a distance of 1017.9 km.
How to find the distance travelled by a car?The car travels for 7 hours and 50minutes at an average speed of 130 km/h.
Therefore,
speed = distance / time
speed = 130 km/h
time = 7 hours 50minutes = 7 + 0.833333 = 7.83 hours
Therefore,
130 = distance / 7.83
cross multiply
distance = 7.83 × 130
distance = 1017.9 km
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−7 ≤ −2; Add 9 to both sides
Answers
Answer:
2≤7
Step-by-step explanation:
-7+9≤-2+9
2≤7
Tins of paint are filled at the rate of 2m3 per minute.
How many 750 ml tins of paint can be filled in 1 hour?
Answers
Answer:
160,000 tins
Step-by-step explanation:
To find the number of tins, divide the fill rate by the volume per tin.
__
(2·(1000 L)/min)×(60 min)/(1 h)/(0.75 L/tin) = 160,000 tin/h
160,000 tins of paint can be filled in 1 hour.
_____
Additional comment
That's one tin every 22.5 milliseconds. It would be a feat of engineering to move that volume without splashing.
There are 60 minutes per hour. There are 1000 liters per cubic meter.
pls help what is the m ACD?
Answers
Answer:
Angle ACD = 54° ( Angle standing on same arc at the circumference are equal )