Find the measurement indicated. Round your answers to the nearest tenth. Use Law of Sines or Cosines
Answers
Answer:
5. 34°
6. 29.7
Step-by-step explanation:
5. Using sine law
25/sin(93) = 14/sin(C)
sin(C) = 0.5592325395
C = 34.00273934°
6. Using cosine law
AC² = 23.2² + 18.1² - 2(23.2)(18.1)cos(91)
AC² = 880.507229
AC = 29.67334206
Answer:
5. m∠C ≈ 34°
6. AC ≈ 29.7 metres
Step-by-step explanation:
5. We need to use the Law of Sines here, which says that for a triangle with sides a, b, and c and angles A, B, and C:
[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
Here, a = 25, ∠A = 93°, and c = 14, so we want to find ∠C:
[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
[tex]\frac{25}{sin93} =\frac{14}{sinC}[/tex]
sinC ≈ 0.56
∠C ≈ 34°
6. We need to use the Law of Cosines here, which says that for a triangle with sides a, b, and c and angles A, B, and C:
[tex]c^2=a^2+b^2-2abcosC[/tex]
[tex]b^2=a^2+c^2-2accosB[/tex]
[tex]a^2=b^2+c^2-2bccosA[/tex]
Here, a = 23.2, c = 18.1, ∠B = 91°, and b = x. We want to find b, so:
[tex]b^2=a^2+c^2-2accosB[/tex]
[tex]x^2=23.2^2+18.1^2-2*23.2*18.1*cos(91)[/tex] ≈ 880.5
x ≈ 29.7 metres
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What is the range of the function y= e^4x
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Answer:
The answer would be {y|y>0}
Step-by-step explanation:
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help please . will give brainliest
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Answer:
A
Step-by-step explanation:
the last number is the y intercept so the intercept in the line is -3.5 so I just matched them up.
Which equation is true for x= -6 and x=2
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Answer:
What are you options
Step-by-step explanation:
Inequalities
Would this be correct?
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Answer:yes
Step-by-step explanation: 20<_x-8 = 20 <_20 which is correct
Brenda and Jasmine are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of double chocolate cookie dough. Brenda sold 6 packages of chocolate chip cookie dough and 4 packages of double chocolate cookie dough for a total of $86. Jasmine sold 3 packages of chocolate chip cookie dough and 5 packages of double chocolate cookie dough for a total of $85. What is the cost each of one package of chocolate chip cookie dough and one package of double chocolate cookie dough?
Answers
Answer:
one package = $5. / double package= $14
Step-by-step explanation:
Lets say x is a package and y a double package
6x + 4y = $86
2(3x + 5y = $85)
6x + 10y = $170
-6x -4y. -86
6y = $ 84
÷6. ÷6
y= $14
6x +4y = $86
6x + 4($14) = $86
6x + $56 = $86
-56. -56
6x = $30
÷6. ÷6
x = $5
Answer:
chocolate chip = 5
double chocolate chip=14
Step-by-step explanation:
c = chocolate chip
d = double chocolate chip
Brenda
6c+4d = 86
Jasmine
3c+ 5d = 85
Multiply the second equation by -2
-6c -10d = -170
Add this to the first equation
-6c -10d = -170
6c+4d = 86
--------------------
- 6d = -84
Divide by -6
-6d /-6 = -84/-6
d =14
Now we can find c
3c+ 5d = 85
3c+5*14 = 85
3c +70 = 85
Subtract 70
3c = 85-70
3c = 15
Divide by 3
3c/3 = 15/3
c = 5
Tennessee has a population of about 6,495,978. Its territory can be modeled as a trapezoid, as shown in the figure. Each unit on the coordinate grid represents one mile. Find the approximate population density of tennessee. Round to nearest whole number if necessary.
Answers
Answer:
The population density is 150 persons per square mile
Step-by-step explanation:
Firstly, we need to calculate the area of the trapezoid.
Mathematically, the area of a trapezoid is
(a+b)/2 * h
from the grid, we can obtain the lengths
on the x-axis , each line is 40(200/5 thin lines)
on the y-axis, each thin line also is 40(200/5 thin lines)
thus a = (8 * 40) = 320
b = (10* 40) = 400
h = (3 * 40) = 120
Inserting this into the area equation, we have the area of the trapezoid as (320 + 400)/2 * 120 = 43,200 units
since each unit = 1 mile, the area of Tennessee = 43,200 units
The population density is thus ; 6,495,978/43,200= which is approximately 150 persons per square mile
The population density is a number that gives the number of people located within the state.
[tex]\mathrm{The \ population \ density \ is \ approximately}\ \underline{150}\ \frac{persons}{mi.^2}[/tex]
Reasons:
The population of Tennessee = 6,495,978
The dimensions of the trapezoid model of the territory are;
Base length, a = 320
Base length, b = 400
Height of the trapezoid, h = 120
[tex]Area \ of \ the \ trapezoid = \mathbf{\dfrac{a + b}{2} \cdot h}[/tex]
Which gives;
[tex]Area \ of \ the \ trapezoidal \ territory = \mathbf{\dfrac{320 + 400}{2} \times 120 }= 43,200[/tex]
Area of the trapezoidal territory of the state = 43,200 mi²
[tex]The \ ratio \ of \ the \ population \ to \ the \ territory = \dfrac{6,495,978}{43,200} = 150.36986\overline 1[/tex]
Therefore;
[tex]The \ population \ density \approx \underline{150}\ \frac{persons}{mi.^2}[/tex]
Learn more here:
https://brainly.com/question/16098011
A trapezoid was broken into a triangle and rectangle. The base of the triangle b is ______cm.
Answers
Find the area of the shaded regions:
Answers
Answer:
You are gonna need to gimme that shaded area
Step-by-step explanation:
I cant do it without them
Answer:
144
Step-by-step explanation:
72 the 72 it equals it and plus they are adjacent
What is the quotient?
(-3)^0 / (-3)^2 = ?
A: -9
B: -1/9
C: 1/9
D: 9
Answers
Answer:
Step-by-step explanation:
Quotient means result of division
anything raised to 0 is 1
(-3)^0 = 1
(-3)^2 = -3 * -3 = 9
Quotient = 1/9
Answer:
1/9
Step-by-step explanation:
A chocolate factory made 708.6 pounds of dark chocolate in 6 days. How much dark chocolate, on average, did the factory make per day?
A) 116.76
B) 117.66
C) 118.10
D) 118.43
Answers
Answer: it’s answer C.
Step-by-step explanation: 708.6 ÷ 6 = 118.1(0)
Answer:
c
Step-by-step explanation:
A family fair went to the fair and paid $24 for 2 adult tickets and 2 youth tickets. A youth ticket is half the price of an adult ticket. How much did a youth ticket cost?
Answers
Answer:
Youth tickets = $4
Step-by-step explanation:
Let x and y represent the price of adults and youth tickets respectively;
Given;
A youth ticket is half the price of an adult ticket
y = 0.5x ......1
They paid $24 for 2 adult tickets and 2 youth tickets.
2y + 2x = 24 ......2
Substituting equation 1 into 2;
2(0.5x) + 2x = 24
x + 2x = 24
3x = 25
x = 24/3 = 8
Since, y = 0.5x
y = 0.5(8) = 4
Adult tickets = $8
Youth tickets = $4
Laura has set out 60 m of a kite string which makes an angle of 68° with the ground what is the height of the kite
please help
Answers
please help
If p(x) = 2x^3 - X, find p(a - 1)
Answers
I hope this helps you
Plz answer this is trigonometry
Answers
Answer:
a = 47
b = 23.87
c = 90
d = 35.59
Step-by-step explanation:
I can only help this much. Not sure what the other two others below are asking
What value of x makes the
equation frue?
113 - X = 98
Answers
Answer:
15
Step-by-step explanation:
you have to take 98 away from 113.
Answer:
X= 15
Step-by-step explanation:
A lodge rents snowboards for $40/day plus a $20 flat fee for safety gear. Write an equation to represent the relationship between the total cost, c, and number of days renting a snowboard, d.
Answers
Answer:
(40+20)^d=c
Step-by-step explanation:
Answer:= let me double check yall
Step-by-step explanation:40+20+c+d
Calculate (full working out)
5.16 x 2.93 =
Answers
What is the product of (-a + 3)(a + 4)?
Answers
Answer:
a² - a + 12
Step-by-step explanation:
(see attached)
using the Foil Method :
(-a + 3)(a + 4)
= (-a)(a) + (-a)(4) + (3)(a) + (3)(4)
= -a² - 4a + 3a + 12
= -a² - a + 12
What is the value of x in this equation 9 + 9 = 3(x - 6)?
Answers
Answer: [tex]x=12[/tex]
Step-by-step explanation:
[tex]9+9=3(x-6)[/tex]
simplify: add the 9's together and distribute the 3
[tex]18=3x-18[/tex]
add 18 to both sides
[tex]36=3x[/tex]
divide by 3
[tex]12=x[/tex]
[tex]x=12[/tex]
What is the difference between a rectangular prism and a triangular prism?
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.
A rectangular prism has two bases, while a triangular prism has one base,
A triangular prism has two bases, while a rectangular prism has one base.
A rectangular prism has two bases and three faces, while a triangular prism has two bases and four faces.
Dintro
Done
Answers
Answer:
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.
Step-by-step explanation:
Any prism has two bases. Since we are talking about a rectangular prism and a triangular prism both must have two bases.
For example, a square prism has two bases and they are both square.
In this case a rectangular prism has two bases that are rectangles and a triangular prism also has two bases and both bases are triangles.
Note: For the figure to have only one base it must be called a pyramid.
Thus, the answer is:
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles
Answer:
a
Step-by-step explanation:
Zugo delivers muffins for the Pastry-and-Muffin company. Each muffin is packed in its own
little box. An individual muffin box has the shape of a cube, measuring three inches on
each side. Zugo packs the individual muffin boxes into a larger box. The larger box is also
in the shape of a cube, measuring two feet on each side. How many of the individual
muffin boxes can fit into the larger box?
Answers
Answer:
512
Step-by-step explanation:
You can figure this a couple of ways.
1) Figure the number of muffin boxes that goes into each dimension of the larger box:
(2 ft)/(3 in) = (24 in)/(3 in) = 8 . . . . muffin boxes in each direction.
Then the total number of muffin boxes that will fit in a larger box is ...
8×8×8 = 512
512 muffin boxes can fit into the larger box.
__
2) The volume of a muffin box in cubic feet is ...
((3 in)/(12 in/ft))^3 = (1/4 ft)^3 = 1/64 ft^3
The volume of a larger box in cubic feet is ...
(2 ft)^3 = 8 ft^3
Then the number of smaller boxes that will fit in the larger box is ...
(8 ft^3)/(1/64 ft^3) = 8×64 = 512
512 muffin boxes can fit into the larger box.
Please help me now please I promise I will mark you brainliest
Answers
Answer:
On the circle
Step-by-step explanation:
I dont know the exact way to do this, but i graphed them, then drew a circle, and it was in the line. So i think its on the line
Answer:inside
Step-by-step explanation:
The distance from A to M is sq rt of 41
The distance from A to V is sq rt of 40
Selecting which seven players will be in the batting order on a 11 person team.
A) Permutation
B) Combination
C) Circular permutation
Answers
Answer:
a:) combination
b:) permutation
c:) combination
Step-by-step explanation:
There are 330 ways the coach can select a batting order of seven players from an 11 person team. Therefore, option B is the correct answer.
What is a combination?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.
To determine the number of ways the coach can select a batting order of seven players from an 11 person team, we can use the combination formula, which is given by:
nCr = n! / r!(n-r)!
where n is the total number of players on the team, and r is the number of players in the batting order. In this case, n = 11 and r = 7.
So, the number of ways the coach can select a batting order of seven players from an 11 person team can be calculated as follows:
11C₇ = 11! / (7!(11-7)!)
= (11 x 10 x 9 x 8) / (4 x 3 x 2 x 1)
= 330
Therefore, option B is the correct answer.
To learn more about combination here:
brainly.com/question/17196495.
#SPJ2
Question is in the photo above
Need the number of units.
Answers
Answer:
Step-by-step explanation:
rectangle and triangle is here
area of triangle = 1/2 * 5 * 12 = 30
area of rectangle = 1 * 12 = 12
total is 12 + 30 = 42
if the population is growing by 17% you will use 1.17 as your rate in the equation true or false
Answers
Answer:
False. 0.17
Step-by-step explanation:
The number of cameras produces since May at a plant can be modeled by the function N(m)=50m+600 and the cost per camera can be modeled by C(m)=4m^2-15m+45, where m is the number of months since May. According to this model, what is the total amount of revenue generated by the plant's camera production on September?
Answers
Answer:
39200
Step-by-step explanation:
Revenue = number of cameras * cost
R(m) = N(m) * C(m)
= (50m+600) * (4m^2-15m+45)
The months since may is June July August September = 4 months
R(4) = (50*4+600) * (4*4^2-15*4+45)
(200+600) * (64-60+45)
800*49
39200
Answer:
39,200
Step-by-step explanation:
September is 4 months after may, so m = 4
No. of cameras:
N(4)=50(4)+600 = 800
Cost per camera:
C(4)=4(4²)-15(4)+45 = 49
Total cost:
N × C
800 × 49
39200
Please find the surface area of the sphere. Round your answer to the nearest hundredth.
Answers
Surface area = [tex]\frac{4}{3} \pi r^{3}[/tex] = [tex]\frac{4}{3}[/tex] x 3.14 x 3 x 3 x 3 = 3.14 x 4 x 3 x 3 = 113.04 yd^2 = approx. 113.1 yd^2
The base of a triangle is 3cm and the height is 5cm. What mathematical operations described must be performed in order to find the area of this triangle
Answers
odún and aderonke have 6:4 in 80 units of transcorp's share. how many units of this shares belong to odún
Answers
Answer:48
Step-by-step explanation:
Answer:
48 pecies
Step-by-step explanation:
Odun's share=80x 6/10
Odun's share=48
Hope you understand
Elimination method using multiplication:3x+2y=0 and x-5y=17
Answers
Answer:
(2,-3)
Step-by-step explanation:
have to multiply (-3) to the second equation to get -3x + 15y = 51 then you add both equations .the 3 is remove (postive and negative cancels out )
2y+15y= 17y
0-51+-51
divide both sides by 17 y
-51/17= -3
then you plug -3 into the first equation and get
x= 2
y=-3
Answer:
x=2 y=- 3
Step-by-step explanation:
