plsss show how to solve and solve honestly
For the given triangle, the tan of angle A equals C.
Step-by-step explanation:
Step 1:
For the given triangle, the hiking route is represented by AB and the change in elevation is represented by BC.
So we need to calculate the value of BC for the given triangle
Step 2:
In the given triangle, the opposite side has a length of 'a' feet, the adjacent side has a length of 'b' feet while the triangle's hypotenuse measures 400 feet.
To calculate the opposite side of the triangle, we can use the sine of any angle in that particular triangle. The sine of a particular angle is the opposite side's length divided by the hypotenuse's length.
sin A = [tex]\frac{oppositeside}{hypotenuse}[/tex] .
Step 3;
The length of the opposite side = a,
The length of the hypotenuse side = 400 units.
[tex]\sin A=\frac{a}{400}, \sin 25^{\circ}=0.4226[/tex]. So
[tex]0.4226=\frac{a}{400}, a=0.4226 \times 400[/tex] = 169.04 feet.
So the change in elevation is 169.04 feet.
There are 500 students in a high school senior class. Of these 500 students, 300 regularly wear a necklace to
school, 200 regularly wear a ring, and 125 regularly wear a necklace and a ring. Using this information, answer
each of the following questions.
Let N be the event that a randomly selected senior regularly wears a necklace and R be the event that a
randomly selected senior regularly wears a ring.
What is P(N), the probability that a senior wears a necklace?
What is P(R), the probability that a senior wears a ring?
What is P(N and R), the probability that a senior wears a necklace and a ring?
What is P(N or R), the probability that a senior wears a necklace or a ring?
Show Calculator
Answer:
1. P(N) = 3/5
2. P(R) = 2/5
3. P(N and R) = 1/4
4. P(N or R) = 3/4
Step-by-step explanation:
1. Let's review the information given to us to answer the problem correctly:
Number of students in a high school senior class = 500
Number of students that regularly wear a necklace = 300
Number of students that regularly wear a ring = 200
Number of students that wear a necklace and a ring = 125
2. What is P(N), the probability that a senior wears a necklace?
Let's recall the formula of probability:
Probability = Number of favorable outcomes/Total of possible outcomes
Substituting with the real given values:
P(N) = 300/500 = 3/5 (Dividing by 100 numerator and denominator)
P(N) = 3/5
3. What is P(R), the probability that a senior wears a ring?
Substituting with the real given values:
P(R) = 200/500 = 2/5 (Dividing by 100 numerator and denominator)
P(R) = 2/5
4. What is P(N and R), the probability that a senior wears a necklace and a ring?
Substituting with the real given values:
P(N and R) = 125/500 = 1/4 (Dividing by 125 numerator and denominator)
P(N and R) = 1/4
5. What is P(N or R), the probability that a senior wears a necklace or a ring?
P(N or R) = P(N) + P(R) - P(N and R)
Substituting with the real given values:
P(N or R) = 3/5 + 2/5 - 1/4
P(N or R) = 5/5 - 1/4
P(N or R) = 1 - 1/4
P(N or R) = 3/4
The probabilities are:
P(N) = 0.6
P(R) = 0.4
P(N and R) = 0.25
P(N or R) = 0.75.
Let's solve the given probabilities step-by-step using the provided information.
Step 1: Calculate P(N)
The probability that a senior wears a necklace, P(N), is calculated by dividing the number of students wearing a necklace by the total number of students.
P(N) = 300 / 500 = 0.6Step 2: Calculate P(R)
The probability that a senior wears a ring, P(R), is calculated similarly by dividing the number of students wearing a ring by the total number of students.
P(R) = 200 / 500 = 0.4
Step 3: Calculate P(N and R)
The probability that a senior wears both a necklace and a ring, P(N and R), is given directly in the problem.
P(N and R) = 125 / 500 = 0.25
Step 4: Calculate P(N or R)
The probability that a senior wears either a necklace or a ring is given by the formula:
P(N or R) = P(N) + P(R) - P(N and R)P(N or R) = 0.6 + 0.4 - 0.25 = 0.75 Show work and and answer.
18a. 5-2(x-1)=12
B. 5+2 (x-1)=12
C. 5-2 (x+2)=12
D. 5-2x +2 =12
Answer:
Step-by-step explanation:
5-2(x-1)=12
5-2x+2=12
5+2-2x=12
7-2x=12
2x=7-12
2x=-5
x=-5/2
What is -6 2 flipped on the y axis
Answer:
(6, 2)
Step-by-step explanation:
Flipped is equivalent to mirrored, so on the other side of the y axis should be a mirrored point equally far from 0, which is -6 and the value for y should be the same: 2.
The coordinates (-6,2) when flipped on the y-axis become (6,2), as the process involves changing the sign of the x-coordinate while keeping the y-coordinate same.
Explanation:The coordinates (-6,2) when flipped on the y-axis will become (-(-6),2), which makes it (6,2). To understand why, we can refer to the principle of reflection in mathematics. Reflection of a point about the y-axis implies changing the sign of the x-coordinate while keeping the y-coordinate same. Here, the x-coordinate is -6, and when we flip or reflect on the y-axis, it changes its sign. Therefore, -(-6) becomes +6. The y-coordinate remains the same. Hence, -6 2 flipped on the y axis becomes (6, 2).
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4.2 +3+2+7
Combining like terms
Answer:
16.2
Step-by-step explanation:
Add the numbers together
Please help me solve 3x + 4y =15 and 3x - y = 30 it is for Algebra I
Answer:
Step-by-step explanation:
Given the simultaneous equation
3x+4y=15. Equation 1
3x-y=30. Equation 2
Using elimination method
Sutract equation 2 from 1
Then, will have
3x-3x+4y--y=15-50. -×-=+
4y+y=-15
5y=-15
Divide Both sides by 5
y=-15/5
y=-3
From equation 2
3x-y=30
3x--3=30
3x+3=30
3x=30-3
3x=27
Divide both side by 3
x=27/3
x=9
Then, x=9 and y=-3
Answer:
x=7 y=-9
Step-by-step explanation:
Use a system of equations to solve.
3x-y=30 changes to y=-30+3x
This can then be substituted into the other equation.
3x+4(-30+3x)=15
solve for x
X=7
Now use 7 in the other equation.
y=-30+x(7)
y=-9
FIND A RATIONAL NUMBER BETWEEN 4.1 and square root of 17 ! Help ASAP !
Step-by-step explanation:
A rational no. between 4.1 and √17=4.12
is 4.11 option a
ANSWER TO BE NAMED BRAINLIEST GET A THANK YOU A FOLLOW AND 25 PPTS
What is the volume of the right rectangular prism shown?
24 cm3
192 cm3
32 cm3
48 cm3
Answer:
192 cm^3
Step-by-step explanation:
Volume for rectangular prism is V=l*w*h
V=8*4*6=32*6=192
So volume is 192 cm^3
A positive number is 30 less than its square. Find the number.
Answer:
6
Step-by-step explanation:
6+30=36
6^2=36
Answer:
the positive number is equal to 6.
Step-by-step explanation:
from the question which says A positive number is 30 less than its square. Find the number.
let the number be "n"
and the square of the number = n²
So, we have the expression to be
n = n²-30
n ²-30 -n =0
Re-arrange the equation
n²-n-30=0
the factors of -30 are 5 and -6
so we have
(n+5)(n-6)=0
n+5 =0
n = -5
or
n-6 =0
n = 6
therefore the number can either be -5 or 6.
note we are asked to find the positive number , so the positive number is 6
If Jenna can build a tractor in 9 hours, Thomas can build a tractor in 7 hours, Rachel can build a tractor in 5/2 hours, and Paul can build a tractor in 2 hours, how long will it take them to build 15 tractors if all four start building tractors at midnight, Rachel leaves after 3 hours (3 am), Jenna leaves after 6 hours (6 am), and Rachel returns after 9 hours (9 am)
Answer:
Around 16 hours
(16 hours, 2.74 minutes)
Step-by-step explanation:
In 3 hours,
Rachel has managed: 3 ÷ 5/2 = 6/5
In 6 hours,
Jenna has managed: 6 ÷ 9 = ⅔
Till 9 am,
Thomas and Paul have been woking and maneged:
(9 ÷ 7) ÷ (9 ÷ 2) = 81/14
Total works done in first 9 hours:
6/5 + 2/3 + 81/14 = 1607/210
Remaining work:
15 - 1607/210
= 1543/210
Rachel, Paul and Thomas complete this remaining job together in next 't' hours
(t/2.5) + (t/2) + (t/7) = 1543/210
73t/70 = 1543/210
t = 7.0456621 hours
Or 7 hours 2.74 mins
Overall, it will take them around 9+7 = 16 hours to complete the task
They'll be done at 1600
Which is 4 pm
Final answer:
It will take them approximately 22 hours and 21 minutes to build 15 tractors. The tractors will be finished at around 10:21 PM.
Explanation:
To find out how long it will take them to build 15 tractors, we need to first calculate how many tractors each person can build in 1 hour. Jenna can build 1/9 of a tractor in 1 hour, Thomas can build 1/7 of a tractor in 1 hour, Rachel can build 2/5 of a tractor in 1 hour, and Paul can build 1/2 of a tractor in 1 hour.
Adding up the fractions, we get 1/9 + 1/7 + 2/5 + 1/2 = 85/126. Therefore, in 1 hour, all four of them can build 85/126 of a tractor. To build a total of 15 tractors, we need to find how many hours it will take to build 126/85 of a tractor.
Therefore, it will take them (126/85) × 15 = 22.35 hours to build 15 tractors. Since they started building at midnight, it will take them about 22 hours and 21 minutes, so they will finish building the tractors at around 10:21 PM.
Chandra created a budget matrix based on her regular and expected expenses for the year. Expense Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec. cell phone $71 $71 $71 $71 $71 $71 $71 $71 $71 $71 $71 $71 rent $1,025 $1,025 $1,025 $1,025 $1,025 $1,025 $1,025 $1,025 $1,025 $1,025 $1,025 $1,025 gym dues $75 $75 $75 $75 internet $25 $25 $25 $25 $25 $25 $25 $25 $25 $25 $25 $25 auto insurance $425 $425 gas $120 $120 $120 $120 $120 $120 $120 $120 $120 $120 $120 $120 food $145 $145 $145 $145 $145 $145 $145 $145 $145 $145 $145 $145 To the nearest cent, Chandra’s average monthly expenses are $.
Answer:
Avg. monthly expenses are $1,481.83
Step-by-step explanation:
Just took the test :)
Chandra's average monthly expenses are calculated by adding her total annual expenses for each category and then dividing by 12, yielding an average monthly expense of $1,481.83.
Explanation:To calculate Chandra's average monthly expenses, we first need to sum up all the expenses for each month and then divide by the total number of months (12).
Cell phone: $71 for each month, so $71 * 12 months = $852 in total.Rent: $1,025 for each month, so $1,025 * 12 months = $12,300 in total.Gym dues: $75 every third month, so $75 * (12/3) months = $300 in total.Internet: $25 for each month, so $25 * 12 months = $300 in total.Auto insurance: $425 twice a year, so $425 * 2 = $850 in total.Gas: $120 for each month, so $120 * 12 months = $1,440 in total.Food: $145 for each month, so $145 * 12 months = $1,740 in total.Adding all these up gives us the total annual expense:
$852 (cell phone) + $12,300 (rent) + $300 (gym) + $300 (internet) + $850 (auto insurance) + $1,440 (gas) + $1,740 (food) = $17,782 total annual expense.
To find the average monthly expense, we divide by 12:
$17,782 / 12 months = $1,481.83
Therefore, Chandra's average monthly expenses are $1,481.83.
An object is thrown straight up from the top of a 100-foot platform at a velocity of 48 feet per second. The height h(t) of the object t seconds after being thrown is given by [tex]h(t)=-16t^{2}+48t+100[/tex]. Find the maximum height reached by the object and the time it takes to achieve this height.
Answer:
The maximum height is 136 ftThe time it takes to achieve this height is 1.5 s.Explanation:
1. Function for the height (given):
[tex]h(t)=-16t^2+48t+100[/tex]
2. Type of function
That is a quadatic function, whose graph is a parabola that opens downward.
The maximum of the function, i.e. the maximum height, is the vertex of the parabola.
The vertex of a parabola with the genral equation [tex]y=ax^2+bx+c[/tex] is at the x-coordinate
[tex]x=-b/(2a)[/tex]
3. Time to achieve the maximum height
Substitute b with 48 and a with - 16:
[tex]t=-48/(2(-16))=48/32=3/2=1.5[/tex]
Then, time when the object achieves the maximum height it 1.5s
4. Maximum height:
Replace t with 1.5 in the equation, to find the maximum height, h(1.5)
[tex]h(1.5)=-16(1.5)^2+48(1.5)+100=136[/tex]
Then, the maximum height is 136 ft
What is 27.91111 repeating as a decimal
Answer: It is already a decimal???
Step-by-step explanation:
1. What is the value of h? (1 point)
04
O 8 square root 3
016
O8square root 2
Answer:
D) 8sqrt(2)
Step-by-step explanation:
h² = 8² + 8²
h² = 2(8²)
h = 8sqrt(2)
PLEASE HURRY!!!!
Use the triangle diagram to answer the questions.
1. What is the length of RS?
A. 12
B. 6
C. 22
D. 24
2. What is the value of x?
A. 6.5
B. 6
C. 11
D. 5.5
3. What is the value of y?
A. 15.9
B. 11
C. 5.3
D. 3.7
4. What is the length of UW?
A. 11
B. 6
C. 7.95
D. 22
5. What is the length of UV?
A. 11
B. 7.95
C. 15.9
D. 12
1. D
2. D
3. c
4. A
5. C
I'm not 100% sure about these. Just letting you know.
Similar triangles may or may not be congruent.
1. The length of RS
Since U and V are the midpoints, then:
[tex]\mathbf{RS = 12 + 12}[/tex]
[tex]\mathbf{RS = 24}[/tex]
Hence, the length of RS is (d) 24
2. The value of x
This is calculated as:
[tex]\mathbf{SV = VT}[/tex]
So, we have:
[tex]\mathbf{2x = 11}[/tex]
Divide both sides by 2
[tex]\mathbf{x = 5.5}[/tex]
Hence, the value of x is (d) 5.5
3. The value of y
This is calculated as:
[tex]\mathbf{WT = WR}[/tex]
So, we have:
[tex]\mathbf{3y = 15.9}[/tex]
Divide both sides by 3
[tex]\mathbf{y = 5.3}[/tex]
Hence, the value of y is (d) 5.3
4. The value of UW
This is calculated as:
[tex]\mathbf{UW = 2x}[/tex]
So, we have:
[tex]\mathbf{UW = 2 \times 5.5}[/tex]
[tex]\mathbf{UW = 11}[/tex]
Hence, the value of UW is (a) 11
5. The value of UV
This is calculated as:
[tex]\mathbf{UV = RW}[/tex]
So, we have:
[tex]\mathbf{UV = 15.9}[/tex]
Hence, the value of UV is (c) 15.9
Read more about similar triangles at:
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1. You want to buy a stuffing mix. There are three brands of stuffing mix available. (You have a 10¢
off coupon for Cook Top Stuffing mix.) Cook Top Stuffing Mix 6 oz. for $1.49 or 12 oz. for $2.99
Saltridge Farms Stuffing Mix 6 oz. for $1.79 Cousin Ben's Stuffing Mix 6 oz. for $1.29 The brand that is
the best buy is
a. Cook Top 6 oz.
O b. Cook Top 12 oz.
c. Saltridge Farms 6 oz.
O d. Cousin Ben's 6 oz.
0 000
Answer:
The brand that is the best buy is D. Cousin Ben's Stuffing Mix 6 oz, because the cost per ounce is the lowest.
Step-by-step explanation:
For answering this question correctly, we need to calculate the cost per ounce to compare the four stuffing mix options available. Therefore,
Cost per ounce = Price/Number of ounces in the package
Proceeding with the calculations, we have:
A. Cook Top Stuffing Mix 6 oz. for $1.49. If we use the coupon the price would be $ 1.39.
Cost per ounce = 1.39/6
Cost per ounce = $ 0.23 (rounding to the next cent)
B. Cook Top Stuffing Mix 12 oz. for $2.99. If we use the coupon the price would be $ 2.89.
Cost per ounce = 2.89/12
Cost per ounce = $ 0.24 (rounding to the next cent)
C. Saltridge Farms Stuffing Mix 6 oz. for $1.79.
Cost per ounce = 1.79/6
Cost per ounce = $ 0.30 (rounding to the next cent)
D. Cousin Ben's Stuffing Mix 6 oz. for $1.29.
Cost per ounce = 1.29/6
Cost per ounce = $ 0.22 (rounding to the next cent)
The brand that is the best buy is D. Cousin Ben's Stuffing Mix 6 oz, because the cost per ounce is the lowest.
A certain game has a deck of cards labeled 1,2,3, or 4. At the beginning of a turn, a player draws a card from the deck and then moves the number of spaces indicated by the number on the card. The table shows the number of each type of card in the deck. What is the expected value of the number on a card drawn from the deck.
Number on card = number of cards
1 / 20
2 / 15
3 / 10
4 / 5
A) 1
B) 2
C) 3
D) 4
Answer:
Step-by-step explanation:
1/20
3^4 + 3 ⋅ 5 = ____. (Input whole numbers only.)
Numerical Answers Expected!
Answer:
96
Step-by-step explanation:
3^4 = 81
3 . 5 = 15
81+15 - 96
Answer:
96
Step-by-step explanation:
3^4=3*3*3*3=9*9=81
81+3*5=81+15=96
If Carl, Steve and John have 40 sweets to share and John gets the most out of all three. What’s the smallest amount he can get?
Answer:
13 +13 +14 ensures he is getting the smallest amount so its 14
Step-by-step explanation:
Divide: −96 ÷ −12 = A) −8 B) −7 C) 6 D) 8
Answer:
The answer is D
Step-by-step explanation:
Answer: 8, option D is correct
Step-by-step explanation:
In solving this problem, bear in mind that negative and negative gives positive as a mathematical rule, therefore, for this question, - ÷ - will give +
-96 ÷ -12
= 8
I hope this helps.
a fair charges an admisson fee for $8. Each ride is an addition $2. he equation y=8+2x describes the total x charge for y. Graph it
Answer:
When graphing in this problem we will be graphing the equation y=2x+8, where the 2x represents the fee for each ride, and 8 represents the fee to get in.
When graphing y=2x+8, you 8 is where it is going to be on the y-intercept, so the first step is to put a dot on the 8 on the y-axis. Then from that point (y-intercept) you would go up 2 and over 1, because that is your slope (2x), then you continue on with your slope up 2 and over 1, until you reach the top of your graph.
Hope this helps ;)
Segments CD, AE, and BF are medians of triangle ABC.
What is the value of x?
A. x = 1.9
B. x = 2.7
C. x = 5.5
D. x = 11
Option C: x = 5.5 is the value of x
Explanation:
Given that CD, AE, an BF are the medians of the triangle ABC
Also, given that [tex]AM = 4x - 5[/tex] and [tex]ME=x+3[/tex]
We need to determine the value of x.
Since, we know that the centroid divides the median in the ratio 2 : 1
Hence, we have,
[tex]AM=2\times ME[/tex]
Substituting the values, we get,
[tex]4x-5=2(x+3)[/tex]
Simplifying, we get,
[tex]4x-5=2x+6[/tex]
Subtracting both sides of the equation by 2x, we have,
[tex]2x-5=6[/tex]
Adding both sides of the equation by 5, we have,
[tex]2x=11[/tex]
Dividing both sides of the equation by 2, we get,
[tex]x=5.5[/tex]
Therefore, the value of x is 5.5
Hence, Option C is the correct answer.
Which of the following will form the composite function GFx)) shown
below?
G(F(x)) = 3(x+1)
A. Ax) = 3x and g(x) = vx+1
B. Fx) = x3x and g(x) = 1
c. F(x) = 5x +1 and G(x) = 3x
D. F(x) = x+1 and g(x) = 13x
SUBMIT
The functions which will form the composite function G(F(x)) = 3(x + 1) are F(x) = x + 1 and G(x) = 3x.
Given is a composite function,
G(F(x)) = 3(x + 1)
We have to find the functions G(x) and F(x).
G(F(x)) means that F(x) is substituted instead of x in G(x).
Let G(x) = 3x and F(x) = x + 1
In the composite function G(F(x)), F(x) = x + 1 is substituted in place of x in G(x).
So,
G(F(x)) = 3(x + 1)
Thus, F(x) = x + 1 and G(x) = 3x
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Final answer:
To find the composite function GF(x) from the given equation, identify the functions F(x) and G(x) and match them with the answer choices to determine the correct option, which is C.
Explanation:
The composite function GF(x) is calculated by substituting F(x) into G(x).
Identify F(x) and G(x) in the given equation, G(F(x)) = 3(x+1), which corresponds to F(x) = x+1 and G(x) = 3x.
Comparing them with the answer choices, the correct option is C. F(x) = 5x + 1 and G(x) = 3x.
Therefore, the composite function GF(x) is formed by F(x) = 5x + 1 and G(x) = 3x.
Isabella filled a 200-litter pool and Henry filled a 250-litter pool. They both started at the same time.
The following equation gives the volume of water in Isabella's pool (in liters) as a function of time (in minutes).
V=23t
The graph of the volume of water in Henry's pool (in liters) as a function of time (in minutes) is shown below.
Who filled their pool at a faster rate?
Who filled their entire pool first?
Answer:
B. Henry for the first one and A. Isebella for the second one
Step-by-step explanation:
Answer:
1. Henry
2. Isabella
Step-by-step explanation:
Which expression gives the value of x?
A) 15 tan30°
B) 15 cos30°
C)
15
tan30°
D)
15
sin30°
Answer:
a is correct
Step-by-step explanation:
Any proof professionals please help!!!!!!!! We don't drag or drop answers in we have to write them out ourselves!!!! It's worth 30 points and I'll mark BRAINLEST if it sounds right!
I need the answers in the next 3 days and there's another one coming as well!
Answer:
Below.
Step-by-step explanation:
These reasons will probably be similar to the US conventions but not exactly the same ( I'm using the UK conventions).
1. Given
2. Given.
3, Opposite sides of a parallelogram.
4. Opposite sides of a parallelogram.
5. This side is common to both triangles.
6. The triangles are congruent by 3 equal sides ( I think that is SSS).
I need help with this question?
what is the measure of CED?
A right cone has a slant height of 30 cm and a radius of 10 cm. Find the volume of the right cone.
Answer:
V=3,140in3
Step-by-step explanation:
Solve the division problem. Round answer to the nearest hundredth. 9.2 divided by52.063
Answer: 0.18
Step-by-step explanation: