The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of Jake's tree is 17.325 trees.
What is a Tangent (Tanθ)?The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
Given Josh is 31.2 meters away from the Red Pine tree. The angle of elevation from Josh to the top of the tree is 48º. Therefore, the height of the Josh tree will be,
Tan(48°) = Height of the tree/ Distance between Josh and tree
Height of the tree = Tan(48°) × 31.2 meter = 34.65 meters
Now, Jake's tree is half as tall as Josh's tree. Therefore, the height of Jake's tree is,
Height of Jake's tree = 34.65 meters = 17.325 meters
Hence, the height of Jake's tree is 17.325 trees.
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find the magnitude of each of the following vectors 4i-8j
Answer:
magnitude of a shown vector is
[tex]4 \sqrt{5} [/tex]
What is the rate of change of the amount earned with respect to hours worked for this function?
Answer:
72
Step-by-step explanation:
I got to get some bread for you guys
Answer:
I'll do it the answer is truthfully 72 if you don't think go check my page
2. Draw a picture to show how many 1/5s there are in 7/10.
2. 7/10 ÷ 1/5 = 7/2
7/10 × 5 = 1/2
hope it helps u
Find the value of cos N rounded to the nearest hundredth, if necessary.
cos N = 14/20 = 0.70
Select the correct answer.
Which equation is true for the value b = 2?
A.
2b + 24 = 30
B.
3b − 2 = 4
C.
b + 4 = 8
D.
2b − 3 = 0
Will you do the hard questions
Answer:
No
Step-by-step explanation:
I will not do hard questions
What is the slope of the line represented by the equation y = -x + 1/2x+1/4
- 1/2
- 1/4
1/4
1/2
A farmer has 32 cows. he puts an equal number of cows in 4 fields. each cow produces 6 gallons of milk. how much milk do the cows in one field produce?
Answer:
48/field
you take 32÷4=8 and then you 8*6=48 each field
Question 4) Identify the surface area of the composite figure.
4 4 in. FRIZERSLI 15 in. 4 in. 4 in. THE # # ill 7 in. 10 in. Question 4 ) Identify the surface area of the composite figure . 4 4 in . FRIZERSLI 15 in . 4 in . 4 in . THE # # ill 7 in . 10 in .
The surface area of the composite figure is given by 730 sq.in
What are Composites ?Composites are solid figures made up of basic shapes like rectangle , square and even of three dimensional figures like cube , cuboid etc.
It is given in the question to determine the area of the composite figure
Area of Cube is
Area = 6 * side²
Area = 6 * 4² = 96 sq.in
The surface area of the cuboid is equal to
Sum of surface area of all the sides
As the opposite sides are same
7x10x2 + 15x10x2 + 7x15x2
650 sq.in
As the surface area of the base of the cube is counted twice
Therefore it will subtracted from the total
96 + 650 - 4*4
=730 sq.in
Therefore the surface area of the composite figure is given by 730 sq.in
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i need this for sparx hwk
If the nth term of a sequence is 11n+2 what is the 12th term
Answer:
134
Step-by-step explanation:
the "nth" term of a sequence means that you can plug in the term number to get the term value
so, if
11n + 2 is the sequence
11(12) + 2 is the 12th term
132 + 2 is the 12th term
134 is the 12th term
By plugging in the term "place" (1st, 2nd, 3rd, 4th, etc.) for the variable "n", we get a term value.
hope this helps!!
The 12th term of the sequence is 133
How to determine the 12th term?The nth term is given as:
Tn = 11n + 1
The 12th term is calculated as:
T(12) = 11(12) + 1
Evaluate
T(12) = 133
Hence, the 12th term of the sequence is 133
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what is 1/5 plus 1/10
Step-by-step explanation:
hope it helps you and give me a brainliest
Step-by-step explanation:
[tex] = \frac{1}{5} + \frac{1}{10} \\ [/tex]
Now make the denominator same...
[tex] = \frac{1}{5} \times \frac{2}{2} + \frac{1}{10} \\ [/tex]
[tex] = \frac{2}{10} + \frac{1}{10} \\ [/tex]
[tex] = \frac{3}{10} \\ [/tex]
:)
..
Help ASAP, really stuck
The total length of the wire needed to make this shape is 162cm
Perimeter of a triangleThe perimeter of a triangle is the sum of the external side of the triangle.
Given the following parameters
Length of one side of the outside shape = 24cm
The side length of the smaller triangle = 24/4 = 6cm
The perimeter of the smallest triangle 3(6) = 18cm
The perimeter of the smaller triangle (at the middle) = 12(3) = 36cm
Total length of wire needed. = 3(24) + 3(18) + 36
Total length of wire needed = 72 + 54 + 36
Total length of wire needed = 162cm
Hence the total length of the wire needed to make this shape is 162cm
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5.
Annette earns $30 in 2 hours and Carla earns $96 in 6 hours. Who has the
higher hourly rate?
A
Answer:
Carla
Step-by-step explanation:
First we need to find the hourly rate for Annette
Take the dollars earned and divide by the number of hours
30/2 = 15 dollars per hour
Now we can find the hourly rate for Carla
96/6 =16 dollars per hour
Carla has the higher hourly rate since she earns more per hour
How do I prove this so that angle 3 and angle 4 are complimentary?
Answer:
please see analysis
Step-by-step explanation:
Reason
1.) given
2.) definition of amptimentaly angle LS
3.) substitution property
4.)definition of amptimentaly angle
hope it helps thank me laterها ( در محمود) و
Which expression is equivalent to
O
x²7 (3√7)
Step-by-step explanation:
please mark me as brainlest
I'm having problems because our teacher is making us do this monstersety 391.92x10372.45-918+12.5
Answer:
4064265.104
Step-by-step explanation:
Use PEMDAS :
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
We only have multiplication and addition/subtraction to do. Multiplication and Division can go in either order depending on which comes first reading left to right. It's the same with Addition and Subtraction: we will first subtract 918 and then add 12.5.
Let's start by Multiplying. 391.92 x 10372.45 = 4065170.604.
Now, subract 918. 4065170.604-918 = 4064252.604.
Finally, add back 12.5. 4064252.604. +12.5 = 4064265.104 !
A music-streaming service charges $9 per month for a single user. Additional users within the same household can be added for $3 per month.
Write an equation that shows how the monthly cost, y, depends on the number of additional users in the household, x.
Do not include dollar signs in the equation.
y=
Answer:
y=9+3x
Step-by-step explanation:
It starts with y=.
Then you have to put the 9 for the streaming service.
Then you add.
You multiply by 3 for all the x in the household plan.
Answer:
y = 9 + 3x
Step-by-step explanation:
$9 per month for a single user
$3 per month for additional users
Find monthly cost, y, where additional cost is represented by x
The cost for a single user = fixed cost (It remains constant)
The cost of the additional user = variable (It increases with the number of users)
The monthly cost increases with the number of additional users
The monthly cost = cost of single user + the cost of additional users
y = 9 + 3x
which expression is equivalent to. 5 32x^5 y ^10 z^15
HURRY NOW
Answer:
the answer is B
Step-by-step explanation:
5th root of 32 = 2
5 / 5 = cancels
10 / 5 = 2
15 / 5 = 3
2xy²z³
Answer:
2xy^2z^3
Step-by-step explanation:
if AB= 51, and AC = 120. find BC.
A
B
C
Answer:
Step-by-step explanation:
AB = 51
AC = 120
BC = AC - AB
BC = 120-51
BC = 69 units
What is the 25th term of this arithmetic sequence? 3,9,15,21,27
Answer:
75
Step-by-step explanation:
you need to divide numbers by 3
3×25=75
Answer:
147
Step-by-step explanation:
Arithmetic sequence:
a = first term = 3
d = common difference = second term - first term
= 9 - 3
d = 6
n = 25
[tex]\sf \boxed{\bf n^{th} \ term = a + (n-1) d}[/tex]
= 3 + (25 - 1)*6
= 3 + 24*6
= 3 + 144
= 147
What function is represented below?
HELP ASAP!!
Answer:
C
Step-by-step explanation:
(1/4)^x-2 is the answer
1. In the following diagram, PQRS is a square of side 8 cm. PQ, QR, RS and SP are semi-circular arcs with centres at the midpoint of the sides of the square. Find the area of theshaded region.
Answer:
Step-by-step explanation:
The jet stream is traveling nearly due south from Wyoming to Colorado at 110 knots. If the plane’s speed is 400 knots, what will be its ground speed if it travels from Wyoming to Colorado?
Considering the direction of the wind, it is found that the ground speed needs to be of 510 knots.
What is the ground speed?The ground speed, considering that the wind is flowing from Wyoming to Colorado, and the same direction as the trip, is given by:
G = Plane speed + Wind speed.
In this problem, we have that the speeds are given as follows:
Plane: 400 knots.Wind: 110 knots.Hence the ground speed is given by:
G = 400 + 110 = 510 knots.
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When a number is divided into by 8,9,and 6 the remainders are 7, 8 and 5 respectively. Find the number
Answer:71
Step-by-step explanation:
71 is the number when it is divided into by 8,9,and 6 the remainders are 7, 8 and 5
What is Number system?A number system is defined as a system of writing to express numbers.
Given that a number is divided into by 8,9,and 6 the remainders are 7, 8 and 5 respectively.
We need to find the number.
In division there are three parts the divider, dividend, quotient, and remainder.
Let us find the LCM of 8,9 and 6
LCM of 8, 9,6 is 72
72-1=71
Hence, 71 is the number when it is divided into by 8,9,and 6 the remainders are 7, 8 and 5
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If the size of a storage box is 50 cm by 10 cm by 20 cm. What is the volume of the box?
Answer:
l×b×h
50×10×20
10000cm^3
Step-by-step explanation:
please mark me as brainlest
Answer:
10000 cm³
Step-by-step explanation:
Volume of rectangular box:
To find the volume of box, multiply the length, width and height of the box and its unit is cubic units
[tex]\sf \boxed{\bf Volume \ of rectangular \ box = l *w*h}[/tex]
= 50 * 1 0 * 20
= 10000 cm³
Question
Ahmet borrows $700 and is charged compound interest at 15% per year. How much will he have to pay back in total after 6
years?
Give your answer to two decimal places.
Answer:
I did 700 - 15% times that answer by 6 and u get that big answer.
The required amount Ahmet needs to pay after 6 years is $1619.14.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Amount = principal[1 + r/n]ⁿᵃ
Principal = P rate= r Time =a , n = compounding frequency
Here,
From the given data,
P = 700, r = 15% and t = 6 (n =1)
Now,
Amount = principal[1 + r/n]ⁿᵃ
Amount = 700(1 + 0.15)⁶
Amount = $1619.14
Thus, the required amount Ahmet needs to pay after 6 years is $1619.14.
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A coordinate plane is labeled street on the x-axis and avenue on the y-axis. ping is at point (3, 6) and ari is at point (21, 18). a line is drawn from ping to ari. ping lives at the corner of 3rd street and 6th avenue. ari lives at the corner of 21st street and 18th avenue. there is a gym two-thirds the distance from ping's home to ari's home. x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 where is the gym? 9th street and 10th avenue 12th street and 12th avenue 14th street and 12th avenue 15th street and 14th avenue
The gym location is (15th street, 14th Avenue). so the option D is correct.
What is graph ?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
Given :
Ping's residence = (3rd street, 6th Avenue)
Ari's residence = (21st street, 18th Avenue)
Gym location is 2/3 the distance of Ping's residence to Ari's residence
So, distance between Ping's home to Ari's home will be
Distance = (21st street, 18th Avenue) - (3rd street, 6th Avenue)
Distance = (21 - 3) street, (18 - 6) avenue
Distance between ping and Ari will be
= (18th , 12th )
We know that
Gym distance = 2/3 × (18), 2/3 ×(12)
Gym distance = (12, 8)
Gym location = Ping's location + gym distance
Gym location = (3rd street, 6th Avenue) + (12th street, 8th Avenue)
Gym location = (15th street, 14th Avenue)
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PLEASE ANSWER ASAP!!!!!11
The nth term of a sequence is represented by 2n^3+25n^2+32n−15/ 6n^4+2n^3−11n^2−2n+17.
What is the limit of the the nth term as x becomes increasingly large?
A. 0
B. 1/3
C. 3
D. The limit does not exist
The limit of the nth term of a sequence does not exist option (D) is correct.
What is the limit?A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.
We have an expression:
[tex]= \rm \dfrac{2n^5+25n^2+32n-15}{6n^4+2n^3-11n^2-2n+17}[/tex]
Applying limit:
[tex]= \lim_{n \to \infty} \rm \dfrac{2n^5+25n^2+32n-15}{6n^4+2n^3-11n^2-2n+17}[/tex]
[tex]=\lim _{n\to \infty \:} n \left(\dfrac{2+\dfrac{25}{n^3}+\dfrac{32}{n^4}-\dfrac{15}{n^5}}{6+\dfrac{2}{n}-\dfrac{11}{n^2}-\dfrac{2}{n^3}+\dfrac{17}{n^4}}\right)[/tex]
= ∞ = The limit does not exist
Thus, the limit of the nth term of a sequence does not exist option (D) is correct.
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The figure shows part of the concrete slab which is used to make drains and its cross-section. it is made up of a cuboid of dimensions 120 cm by 60 cm by 40 cm, with a half-cylinder horizontally carved out of it.
(i) find the area of the cross-section ABCDEFG.
(ii) find the volume of the concrete slab.
(iii) find the total surface area of the concrete slab.
(iv) find the mass of the concrete slab if the density of concrete is 2300 kg/cubic m, giving your answer in kg.
(i) The area of the cross section ABCDEFG is 1771.6cm³
(ii) The volume of the concrete lab is 212592 cm³
(iii) the total surface area of the concrete slab is 30284 cm²
(iv) The mass of the concrete slab is 40746.8 kg/m³.
Given, dimensions are 120 cm by 60 cm by
40 cm.
(i) area of cross section = 40 × 60 ₋ π(60 ₋10 ₋ 10)/2 . 1/2
= 1771.6 cm³
(ii) the volume of the concrete slab = 40 × 60 × 120 ₋ 1/2 π((60 ₋ 10 ₋10)/2)² . 120
= 212592 cm³
(iii) The total surface area is:
=40 × 120 × 2 ₊ 60 × 120 ₊ 1771.6 × 2 ₊ 10 × 120 × 2 ₊ 1/2 π(60 ₋ 10 ₋10) × 120
= 30284 cm²
(iv) Mass of the concrete slab given density is 2300 kg/m³
Mass = Volume × density
Mass = 17.716 m³ × 2300
= 40746.8 kg/m³
Hence we get the mass as 40746.8 kg/m³.
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