Answer:
0.5774
Step-by-step explanation:
1) Input tan(30) into a calculator to get 0.5773502692...
2) To count 4 decimal places, we start after the decimal point. This means that we end it at the first 3. Additionally, we round 3 up to 4 because of the digit after it which is 5.
[tex]\Large\maltese\underline{\textsf{Our problem:}}[/tex]
What is the tangent of 30, rounded to 4 decimal places?
.
[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]
First, let's focus on this phrase - "tan 30"
.
What in the world could that possibly mean?
"tan" is the tangent, which is one of the six trig ratios.
.
The simplest way to find the tangent of 30 degrees is ... with a calculator!
[tex]\bf tan\quad 30 \approx 0.5774[/tex]
The answer has been rounded to 4 decimal places, like you asked.
Since the fifth decimal place was more than 5, I added 1 to the fourth decimal place - 0.5774, and not 0.5773.
[tex]\rule{300}{1.7}[/tex]
[tex]\bf tan 30\approx 0.5574. \quad Hope\;you\;will\;have\;a\;fantabulous\;day![/tex]
~ [tex]\boxed{\bf aesthetic\;\not{101}}[/tex]~
can 18 7 10 make a triangle
Answer:
No, 18 7 10 are can not make a triangle.
Step-by-step explanation:
First of all, what does a Triangle?
A flat geometric figure that has three sides and three angles. OR something that has three sides and three angles a triangle of land.
Three sides form a triangle : if sum of length of two sides is greater than the third side. But here
10+7=17 < 18.
That is the sum of two sides (10+7) is less than the third side i.e 18
So that 18 7 10 are can not make triangle.
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Answer:
18 7 10 are can not make a triangle.
Step-by-step explanation:
Definition of a Triangle
A figure that has three sides and three angles is knows as a triangle
And a property of a triangle is that the sum of length of two sides should always be greater than the third side.
We have given the length of sides as : 18 7 10
now check it :
(i) 18 + 7 = 25 which is greater than 10
(ii) 18 + 10 = 28 which is greater than 7
(iii) 7 + 10 = 17 which is lesser than 18
so the sum of two sides (10+7) is less than the third side 18
Therefore 18 7 10 are can not make triangle.
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the coordinate of two point P(4,6) and Q(5,-7) then find (abicissa of P) -(abicissa of Q)
The value of (abscissa of P) -(abscissa of Q) is -1.
The given coordinates are P(4,6) and Q(5,-7).
We need to find (abscissa of P) -(abscissa of Q).
What is abscissa?The horizontal coordinate of a point in a planar Cartesian coordinate system that is determined by measuring parallel to the x-axis is what abscissa stands for.
Now, (abscissa of P) -(abscissa of Q)=4-5=-1
Hence, the value of (abscissa of P) -(abscissa of Q) is -1.
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Emily invested $810 in an account paying an interest rate of
Answer:
complete this
Step-by-step explanation:
yeah do it
Proving Vertical Angles Are Congruent
Answer:
Vertical angles are always congruent
Step-by-step explanation:
Answer:
Statement
Measure of angle 2 and 3 are a linear pair and
Reason
Definition of linear pair
Step-by-step explanation:
Hook me up with a 5 star and a Thanks :)
Sarah transfer 450 from her saving account to her checking account she uses the check register to record her transaction but will her new balance.
After transferring $450 from the savings account to the checking account, the updated balance in :
the savings account is =previous balance-$450the checking account= previous balance +$450Calculation of the new balance?All of that is based on the notion that Sarah's savings and checking accounts are distinct from one another.
Assume that, Sarah's savings account balance was 'x' and checking account balance was 'y'.
She transferred $450 from the savings to the checking account.
∴Updated savings account balance= x-450 units
∴Updated checking account balance= y+ 450 units.
Therefore, it can be concluded that the current value of Sarah's savings account would be the amount >$450, and the updated value of her checking account would be the balance <$450 if she transferred $450 from her savings account to her checking account.
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what is the simlest form of the ratio 32:48
Answer: 2:3
Step-by-step explanation:
First list out the factors for 32 and 48
32- 1, 2, 4, 8, 16, 32
48- 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The greatest factor they have in common is 16. So, divide both numbers by 16 to get the simplest form of the ratio.
32/16=2
48/16=3
The simplest form is 2:3
FIND THE EQUATION FOR THE LINE SHOWN
Answer:
y = 2x - 1
Step-by-step explanation:
gradient is defined as rise over run.
we need coordinates that are both whole numbers. from looking at the graph, I have (0, -1) and (1, 1)
for the run, 1 - 0 = 1
for the rise, 1 - -1 = 2
2 / 1 = 2
it crosses the y-axis at -1
therefore in the form y = mx + b, the equation is y = 2x - 1
h = 3 + 31t - 161²
Find all values of t for which the ball's height is 17 feet .
Answer:
t= 31/175 ≈ 5.64516129
Step-by-step explanation:
Refer Pic For Steps....
Hope it Helps!!!
R
53°
1
2
T
S
47°
What are the measures of angles 1 and 2?
mz1 =
mz2 =
Answer:
m∠1 = 50°
m∠2 = 130°
Step-by-step explanation:
There is a formula:
[tex]\text{angle} = \frac{1}{2} (\text{intercepted arc}_1 + \text{intercepted arc}_2)[/tex]
[tex]\text{m} \angle 1 = \frac{1}{2} (53^\circ + 47^\circ)[/tex]
[tex]\text{m} \angle 1 = \frac{1}{2} (100^\circ)[/tex]
[tex]\text{m} \angle 1 = 50^\circ[/tex]
Angle 1 and angle 2 together form a straight angle, which measures 180°. Angle 1 and angle 2 are suplementary angles.
[tex]\text{m} \angle 1 + \text{m} \angle 2 = 180^\circ[/tex]
[tex]50^\circ + \text{m} \angle 2 = 180^\circ[/tex]
[tex]\text{m} \angle 2 = 180^\circ - 50^\circ[/tex]
[tex]\text{m} \angle 2 = 130^\circ[/tex]
What is the measurable quantity given by its formula with the appropriate units
Answer:
Where is the formula
Step-by-step explanation:
Which table can be generated from the equation y = 2x + 17
Step-by-step explanation:
x | y
-2.| 13
-1. | 15
0. | 17
1. | 19
2. | 21
just start with the y-intercept and then add 2 or subtract two depending on whether your increasing x or decreasing x. as x increases 1 y increases 2.
A rectangular photograph measures 24 x 19 cm. It is mounted on a card of size such that there is a 2 cm border all around. For the purposes of this question take the length of the photograph to be 24 cm. If one of the borders must be 2cm in width, determine the width of a possible length and width so that the inner and outer rectangles are similar. (I NEED HELP PLEASeeeeeeeeeeeeeeeee)
The possible length is 28cm and width is 23cm.
Rectangle is a two dimension figure with length and width.
Area of the rectangle is given by length × width.
Perimeter of the rectangle is given by 2 ( length + width ).
Given that dimension of a rectangular photograph is 24 × 19 cm.
So, Length of the rectangular photograph = 24 cm
Width of the rectangular photograph = 19cm
It is given that rectangular photograph is mounted on a card which has 2cm border all around.
Therefore, Length = 24cm + 2cm + 2cm = 28cm
Width = 19cm + 2cm + 2cm = 23cm.
Hence, the possible length so that the inner and outer rectangles are similar = 28cm
The possible width so that the inner and outer rectangles are similar = 23cm
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The possible length is 28cm and width is 23cm.
Rectangle is a two dimension figure with length and width.
Area of the rectangle is given by length × width.
Perimeter of the rectangle is given by 2 ( length + width ).
Given that dimension of a rectangular photograph is 24 × 19 cm.
Therefore, Length of the rectangular photograph = 24 cm and
Width of the rectangular photograph = 19cm
It is given that rectangular photograph is mounted on a card which has 2cm border all around.
Therefore,
Length = 24cm + 2cm + 2cm = 28cm
Width = 19cm + 2cm + 2cm = 23cm.
Hence, the possible length so that the inner and outer rectangles are similar = 28cm
The possible width for the inner and outer rectangles are similar = 23cm
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What ordered pair is a solution of the equation?
y=-2x-5
[tex] \sf \underline{Answer:}
[/tex]
Pick any value for x, like x = 0, plug it into the equation, and get the value for y. For x = 0,
2(0) + y = 5
y = 5
The ordered pair is (0,5). Find other ordered pairs using the same reasoning.
[tex]2(0) + y = 5[/tex]
[tex]y = 5[/tex]
The ordered pair is (0,5).
The graph represents a function.
2
Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
O (2, -1) O (-5,2) O (2,-5) (-2,5)
(-5, 2) is the only point which we plot in given graph then it still represent a function.
What is Function?A function is a special type of relation in which each and every element of set A have a unique image in its codomain set B.
Here, Given points on graph
{(-4, 2), (-2, -3), (2, 3), (3, -1)}
2 and -2 are already available in given ordered pair.
so only (-5, 2) is the only option which satisfies the definition of function.
Thus, (-5, 2) is the only point which we plot in given graph then it still represent a function.
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The table shows the results of a survey of 200 randomly selected people on whether they like watermelon, cantaloupe, or both.
A 4-column table with 3 rows. The first column has no label with entries cantaloupe, not cantaloupe, total. The second column is labeled watermelon with entries 93, 66, 159. The third column is labeled not watermelon with entries 16, 25, 41. The fourth column is labeled total with entries 109, 91, 200.
Which is the marginal relative frequency for the people who do not like cantaloupe?
StartFraction 25 Over 91 EndFraction
StartFraction 66 Over 200 EndFraction
StartFraction 91 Over 200 EndFraction
StartFraction 66 Over 91 EndFraction
The marginal frequency for the people who do not like cantaloupe is StartFraction 91 Over 200 EndFraction/
The correct option is (C),
What is Marginal Relative frequency?Marginal Relative Frequency is the ratio between the frequency of a row total or column total to the total frequency of the data.
Given:
Watermelon Not watermelon Total
Cantaloupe 93 16 109
Not cantaloupe 66 25 91
Total 159 41 200
Hence, the Marginal Relative frequency is = 91/200 = 0.455
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Find the solution to the system
of equations.
4
y = 2x + 2
3
2
([?], [ ])
-4-3-2/1
1 2 3 4
y=-x-3
-1
-2
3
-4
Answer:
(- 2, - 2 )
Step-by-step explanation:
the solution to the system is at the point of intersection of the 2 lines.
the 2 lines intersect at (- 2, - 2) , then
solution to the system is (2, - 2 )
Question 10 of 13
by visual inspection, determine the best-fitting regression model for the
scatterplot.
o a. no pattern
o b. quadratic
o c. exponential
o d. linear
please help!
The best-fitting regression model for the scatter plot is exponential curve , Option C is the right answer.
The missing graph is attached with the answer.
What is an exponential graph ?An exponential graph is given by y = aˣ , the graph for an exponential growth is also attached with the answer,
From the graph given in the question it can be concluded that it is not linear , not quadratic and it is not true that it doesn't have a pattern , It is an exponential growth graph, Therefore Option C is the right answer.
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LAST ONE PLEASE ANSWER IT
Answer:
B.
Step-by-step explanation:
The product of means that you're multiplying, which means that you need to use parentheses. That narrows it down to B or D. Since the question asks you to provide a number first (x) and then 11, that means that 11 will be subtracted from the number.
A pair of jeans costs $58. They are on sale for 15% off. What is the discount and final price?
Discount = $ _._ _
Selling Price = $ _ _ . _ _
Answer:
Discount=$8.7
Selling price=$49.3
Step-by-step explanation:
First you need to write that in an equation form-
a/58=15/100
Then you need to do cross multiplication-
100a=58(15)
100a=870
Now divide 100 from both sides-
100a/100=870/100
a=8.7
Thats the discount rate
Now subtract that from the original price
58-8.7=49.3
Thats the price after the discount
Hope this helped :)
the question is below
Answer:
B. $4.75
Step-by-step explanation:
3(4) + 7 = 19
19/4=4.75
Answer:
B
Step-by-step explanation:
First, 3n + 7 while n = 4 then 3*4 = 12 + 7 = 19. Next, you do 19/4 which is
n
equal to 4.75.
I Hope This Helped :D
Which set of ordered pairs represents a line that is perpendicular to the given set:
(12,3) (9.4)?
Using linear function concepts, it is found that a set of ordered pairs with a slope of 3 is perpendicular to the set (12,3), (9,4).
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.If two lines are perpendicular, the multiplication of their slopes is of -1. The set (12,3), (9,4) has the slope given by:
m = (4 - 3)/(9 - 12) = -1/3.
Hence, for the perpendicular set:
[tex]-\frac{1}{3}m = -1[/tex]
m = 3.
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Find h(1) if h(x)=4x2 +3x - 2
Answer:
[tex]h(1) = 4 \times 2 + 3 \times 1 - 2 \\ = 9[/tex]
How many feet of fencing will George need for the dog run?
22 feet
68 feet
76 feet
82 feet
George will need to do 76 ft. of fencing , Option C is the correct answer.
What is a Rectangle ?A rectangle is a polygon with four sides , angles and vertices , the opposite sides are parallel and equal.
Area of the dog run = 240 sq.ft
Length of the run is 30 ft
Width is 30-x ft.
Area of a Rectangle = Length * Width
240 = 30 * (30-x)
8 = 30 -x
x = 22 ft.
Width is (30-220 = 8)
The perimeter of the rectangle is = 2(Length + Width )
Perimeter = 2( 30 +8)
Perimeter = 2 * 38 = 76 feet
Therefore George will need to do 76 ft. of fencing.
The complete question is
George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w. A rectangle labeled How many feet of fencing will George need for the dog run? 22 feet 68 feet 76 feet 82 feet
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Answer:
late a-s-f but 68 ft
Step-by-step explanation:
If lines / and mare parallel, and D6 = 1150, which is D4?
Answer:
D. 115
Step-by-step explanation:
because if Angle 6 is 115 then so is Angle is 4 due to AIA (alternate Interior Angles)
can someone help with this
Step-by-step explanation:
-10-2x = 3x+15
5x = -25
x= -5
Help me O people!
Please!
Answer:
the answer is L
Step-by-step explanation:
that's just how u round
vType the correct answer in each box. If necessary, use / for the fraction bar(s). Given: . If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of is . If the coordinates of point D are (5 , 5), the equation of line is y = x + .
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is y=-(7/5)x + (56/5).
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
Given two points of the line AB, where the coordinates of point A are (8,0) and the coordinates of point B are (3,7). Now, the slope of the equation can be written as,
m = (0-7)/(8-3) = -7/5
Substitute any one of the points in the equation,
y = -(7/5)x + c
7 = -(7/5)3 + c
7 = -21/5 + c
76/5 = c
Hence, the equation of the line is y=-(7/5)x + (56/5).
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MATHHH. Probability section!!! HELP!
please give the right answer.
Answer:
answer = 1/4 < 7/25
Step-by-step explanation:
the theoretical probability is that because the spinner has 4 equal sized sections, it should land on each 25 times, 25/100 is 1/4
28/100 is the experimental probability of landing on H, so that can be simplified to 7/25 as both numbers can be divisible by 4.
Hope this helps:)
Need help finding the one complete period of a non transformed contangent function
One complete period of a non-transformed cotangent function is π.
The period of the function is defined as the interval after which the function value repeats itself.
For example, f(T+x)=f(x)
where T is the period of the function.
Here given that there is a non-transformed function cotangent function.
We have to find the period of the function in which interval the value of the function will repeat.
So for the function y=f(x)=cot x
the period of the function is π. means after π the value of the cotangent repeats.
cot(π+x)=cot x
Then one cycle of the cotangent graph lies between 0 and π.
Therefore One complete period of a non-transformed cotangent function is π.
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) How long does he travel at 30 km/h, if he travels 1.2 h at 20 km/h?
Step-by-step explanation:
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