Answer:
see below
Step-by-step explanation:
the total value of the 6 numbers is 30 and the sum of the given 5 numbers is 19 therefore the 6th number is 11
If tan(t) ≈ 2.7, and sin(t) ≈ 0.94, find cos(t)
Answer:
cos = 0.89/1.9 = 0.46842105263157895-
Step-by-step explanation:
the value of cos(t) is approximately 0.347.
To find the value of cos(t), we can use the identity:
tan²(t) + 1 = sec²(t)
Since we know the value of tan(t) is approximately 2.7, we can calculate sec(t):
sec²(t) = tan²(t) + 1
sec²(t) = 2.7² + 1
sec²(t) = 7.29 + 1
sec²(t) = 8.29
Now, to find sec(t), we take the square root of both sides:
sec(t) = √(8.29)
sec(t) ≈ 2.877
Finally, we can find cos(t) using the reciprocal identity:
cos(t) = 1 / sec(t)
cos(t) ≈ 1 / 2.877
cos(t) ≈ 0.347
So, the value of cos(t) is approximately 0.347.
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A modern sculpture in a park contains a parabolic arc that
starts at the ground and reaches a maximum height of 10 feet after a
horizontal distance of 4 feet. Write a quadratic function in vertex form
that describes the shape of the outside of the arc, where y is the height
of a point on the arc and x is its horizontal distance from the left-hand
starting point of the arc.
Using the vertex form, the equation of the parabola is given by:
[tex]y = a(x - 4)^2 + 10[/tex]
The equation of a parabola, with vertex (h,k), is given by:
[tex]y = a(x - h)^2 + k[/tex]
In which a is the leading coefficient.
In this problem, it reaches a maximum height of 10 feet after a horizontal distance of 4 feet, hence, the vertex is (4,10), that is, [tex]h = 4, k = 10[/tex]. Then, the equation for the parabola is:
[tex]y = a(x - 4)^2 + 10[/tex]
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Nathan earned $105.70 at his job when he worked for 7 hours. What was his hourly wage, in dollars per hour?
help with this question
With some simplification,
cos⁻¹(x) - 5 cos⁻¹(x) - π/3 = 2π/3
becomes
-4 cos⁻¹(x) = π
or
cos⁻¹(x) = -π/4
However, the inverse cosine function has a range of 0 ≤ cos⁻¹(x) ≤ π, so there are no solutions to this equation.
Find the surface area. Please help!! I need it quick
Answer:
This is a right trapezoidal prism.
To find the total surface area,
First we have to find the area of the 2 trapezoids.
Let us find now.
[tex]Area=2*\frac{1}{2} (a+b)*h[/tex]
[tex]Area=2*\frac{1}{2} (1.4+2.3)*1.9\\[/tex]
[tex]Area=3.7*1.9[/tex]
[tex]Area = 7.03m^{2}[/tex]
Now you have to find the areas of the 3 rectrangles.
Let us find now.
(4.8 × 2.1) + ( 4.8 × 2.3)+ ( 1.9 × 4.8)
10.08 m² + 11.04 m² + 9.12 m²
= 30.24 m²
Now let us find the total surface area of this solid.
7.03 m² + 30.24 m²
= 37.27 m²
Which place value first determines which of the numbers 6.399 or 6.400 is the larger number?
thousandths
hundredths
tenths
ones
Comparing the numbers, it is found that the tenths value first determines which of the numbers 6.399 or 6.400 is the larger number.
The decimal numbers are 6.399 and 6.400.
The ones value for each is 6.For the first value, the tenths digit is of 3, while for the second is of 4.The tenths digit is the first in which there is a difference, hence, it determines which of the numbers 6.399 or 6.400 is the larger number.
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Solve for
x
x
−
6
9
=
−
5
- BRAINLIEST answerer
Answer:
64
Step-by-step explanation:
Find the number whose 1/3 part exceeds its 1/4 part by 12
Answer:1/5
Step-by-step explanation:
not entirle sure but yeah
The area of the regular pentagon is 6. 9 cm2. A regular pentagon has an apothem with length 1. 38 centimeters and an area of 6. 9 centimeters squared. What is the perimeter? 2 cm 5 cm 10 cm 20 cm.
The perimeter of the regular pentagon is 10 centimeters.
Given that the area of the regular pentagon is 6.9 cm2, and a regular pentagon has an apothem with length 1.38 centimeters and an area of 6.9 centimeters squared, to determine what is the perimeter the following calculation must be performed:
(Perimeter x apothem) / 2 = Area 1.38X / 2 = 6.9 1.38X = 13.80 X = 13.80 / 1.38 X = 10
Therefore, the perimeter of the regular pentagon is 10 centimeters.
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The angle measures of a triangle are in the ratio 3: 4: 3. Find the angle
measures of the triangle.
Answer:
72
Step-by-step explanation:
3X+4X+3X=180
10X=180
X=180/10
X=18
3X=54 BOTH
4X=72
The aquarium in Mrs. Mnon's
class holds 10 gallons. How many
quarts does the tank hold? How
many pints? Please
A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?
Answer:
9 mmStep-by-step explanation:
A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?
----
To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.
We use the inverse formula
base = 2A : height
2 * 27 : 6 = 9
------------------------
check
6 * 9 : 2 = 27
the answer is good
Kyle read 3 5/6 books and Jan read 2 1/3 books. How many more books did Kyle read than Jan?
Answer:
3 5/6 = 3 10/12
2 1/3= 2 4/12
3-2=1
10/12-4/12= 6/12=1/2
so Kyle read 1 1/2 more books then Jan
Answer:
Kyle read [tex]1 \frac{1}{2}[/tex] books more than Jan
Step-by-step explanation:
Let's put our equation[tex]3 \frac{5}{6}-2\frac{1}{3}[/tex]
They have different denominators so let's look for the [tex]LCM[/tex] to find our common denominator
Find our LCMDefinition of LCM - LCM stands for least common multiple. The least common multiple of two numbers is the smallest number that is a multiple of both of them.
Now let's find our LCM
[tex]6:6,12,18,24,30,36,42\\\\3:3,6,9,12,15,18,21,24,27,30[/tex]
as you can see our [tex]LCM[/tex] is [tex]6[/tex]
Now our fraction is[tex]3\frac{5}{6}-2\frac{2}{6}[/tex]Solve[tex]3\frac{5}{6}-2\frac{2}{6}=1 \frac{3}{6}[/tex] this can be reduced to [tex]1 \frac{1}{2}[/tex]
Kyle read [tex]1 \frac{1}{2}[/tex] books more than Jan
Brainliest please :)solve my math question
Answer:
letter C
Step-by-step explanation:
keep learning On math
Mrs. Williams is cleaning her classroom. While cleaning, she found 771 Legos out of a pack of 1,000. How many Legos does she have left to find?
Answer:
229
Step-by-step explanation: do 1000-771 and u get the answer
Answer:
229
Step-by-step explanation:
To find how many are left, do the total minus the amount found:
1000 - 771 = 229
What else is required to prove the triangles are congruent using SAS?
See picture for full problem. Please and thank you so much!
Answer:
<JL congruent <TV
<JU congruent <UL
<TU congruent <UV
Step-by-step explanation:
because they have the same angles and that's my opinion for me
Solve the quadratic function by factoring. y = x2 - 2x - 48 First, factor the quadratic. Enter the number that belongs in the green box. y = (x + [?])(x - 1)
Answer: y = (x+6)(x-8)
Step-by-step explanation:
Let x represent BC. Using either ABC or CAB and trigonometric functions, solve for x to three decimal places in at least three different ways.
Show your work for each way you find x.
Answer:
Step-by-step explanation:
plato answer
Α. y- 2 = 2(x- 3)
Β. y- 3 = 2(x- 2)
C. y- 1 = 2(x- 9)
D. y- 9 = 2(x-1)
Answer:
c.
Step-by-step explanation:
Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/4 of an inch, it is 4 3/4 inches.
What is the largest the actual height of the plant could be?
4 7/10
inches
Answer:
Step-by-step explanation:
Given that the height(h) of the plant to the nearest 1/4 of an inch is 3/4 inches = 0.75 inches.
It is obvious that the height will lie within the range
2.5/4<h<3.5/4
which corresponds to the range
5/8<h<7/8 OR 0.625<h<0.875
Thus,
a. The largest actual height could be 0.875 inches, while
b. The smallest actual height could be 0.625 inches
c. The percentage error is given by the formula:
[(approx.-exact)/exact]*100%
If we take the lowest value, for instance, as the exact, i.e. 0.625 inches,
then % error = [(0.75-0.625)/0.75]*100% = 16.7%
Obviously, the same value is expected if we take the upper limit of 0.875, i.e. % error = [(0.75-0.875)/0.75]*100% = -16.7%, only that the absolute value will be taken.
find x help meh pls
6 4/5=5/6x−3/12
What is the probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, i = 2, 3,. , 12?.
Answer:
0, 1/18, and 1/36
Step-by-step explanation:
For i = 2, the probability it lands on 6 is 0, because you cannot sum to 2 with a 6. The same applies to i = 3 thru i = 6.
For the probability that at least one of a pair of fair dice lands on 6 for i = 7, there are only two possible ways, the first roll is a 6 and the second roll is a 7, and the first roll is a 1 and the second roll is a 6. The total amount of ways is 6 * 6 = 36, so the total probability is 1/18. This also applies to i = 8 thru i = 11.
For i = 12, there is only one way to get 12, the first dice lands on 6 and the second dice lands on 6. Assuming the dice are indistinguishable, the probability is 1/36.
The probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, where i ranges from 2 to 12, is 23/12.
We have,
The complementary probability of "at least one die lands on 6" is "neither of the dice lands on 6."
Therefore, you need to find the probability that neither of the dice lands on 6 for each possible sum i, and then subtract that probability from 1 to get the desired probability.
Let's go through the cases:
i = 2 (only possible sum with two dice):
In this case, both dice must show a 1.
The probability of this happening on a fair 6-sided die is
(1/6) * (1/6) = 1/36.
i = 3: The combinations are (1, 2) and (2, 1).
The probability of either happening is 2 * (1/6) * (1/6) = 1/18.
i = 4:
The combinations are (1, 3), (2, 2), and (3, 1).
The probability of any of these happening is 3 * (1/6) * (1/6) = 1/12.
i = 5:
The combinations are (1, 4), (2, 3), (3, 2), and (4, 1).
The probability of any of these happening is 4 * (1/6) * (1/6) = 1/9.
i = 6:
The combinations are (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1).
The probability of any of these happening is 5 * (1/6) * (1/6) = 5/36.
i = 7:
The combinations are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).
The probability of any of these happening is 6 * (1/6) * (1/6) = 1/6.
i = 8:
The combinations are (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2).
The probability of any of these happening is 5 * (1/6) * (1/6) = 5/36.
i = 9:
The combinations are (3, 6), (4, 5), and (5, 4).
The probability of any of these happening is 3 * (1/6) * (1/6) = 1/12.
i = 10:
The combinations are (4, 6) and (6, 4).
The probability of either happening is 2 * (1/6) * (1/6) = 1/18.
i = 11:
The combinations are (5, 6) and (6, 5).
The probability of either happening is 2 * (1/6) * (1/6) = 1/18.
i = 12:
The combination is (6, 6).
The probability of this happening is (1/6) * (1/6) = 1/36.
Now, sum up the probabilities for each case:
(1/36) + (1/18) + (1/12) + (1/9) + (5/36) + (1/6) + (5/36) + (1/12) + (1/18) + (1/18) + (1/36)
This simplifies to:
69/36 = 23/12
Thus,
The probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, where i ranges from 2 to 12, is 23/12.
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fill in the missing terms and identify whether it is arithmetic, geometric, or fibonacci,
Answer:
hello are you a Latina hola como estas soy niña
what is point W( 7, -4) reflected over the x-axis
Answer:
(7, 4)
Step-by-step explanation:
In this case, where we reflect W(7, -4) over the x-axis, the x-coordinate of the reflection is the same: 7. But the -4 becomes +4 through this reflection.
Reflected point is (7, 4)
please help me :) there is a picture
Andre road his bike at a constant speed he rode one mile in 5 minutes which of these equations represent the amount of time t (in minutes) that it takes him to ride a distance of d miles?
a:t=5d
b:t=1/5d
c=d+4
dt=d-4
Answer: Hello!
Time taken to drive 1 mile = 5 minutes. Now we have to find the amount of time t (in minutes) taken by him to right distance d so we can again use same formula. Since the answer will be equation A. t=5d.
A. t=5d
Step-by-step explanation:
Mark me brainest please. Hope I helped! Hope you make an 100% Anna♥
Can y’all help me put these in order from least to greatest
7/9
2/6
9/10
Please
And thank you ️
Answer:
2/6 < 7/9 < 9/10
Step-by-step explanation:
can anyone help me with this?
Find the missing angle measure.
Answer:
116
Step-by-step explanation:
Given shape has 6 angles and the sum of interior angles for this shape is calculated as following:
180*(6-2) = 720 now to find x we need to find the sum of given angles first:
144 + 163 + 50 + 131 + 126 x = 720
614 + x = 720 subtract 614 from both sides
x = 116
During May, Andy had cash inflows of $550, $40, $65, and $80. He had cash outflows of $10, $30, $60, $25, $100, and $250. What is Andy’s net cash flow?
PLEASE HELP ME I DON'T KNOW WHAT THE ANSWER IS
Answer:
positive 260
Step-by-step explanation:
add the cash inflows
550+40+65+80 = 735
add the outflows
10+30+60+25+100+250 = 475
then substract the outflows from the inflows
735-475 = 260
So Andy's net cash flow is positive 260
Please consider marking this answer as brainliest if it helped you. Thanks!
Andy’s net cash flow is $260.
Given that, during May, Andy had cash inflows of $550, $40, $65, and $80.
What is subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
Total cash inflow
= 550+40+65+80
= $735
Total cash outflow
= 10+30+60+25+100+250
= $475
So, net cash flow =735-475
= $260
Therefore, Andy’s net cash flow is $260.
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what is 0.3% of 200