Answers
Answer:
6.1
Step-by-step explanation:
use law of cosines
d² = e² + f² - 2ef cos D
d² = 9² + 10² - 2(9)(10) cos 37
d² = 81 + 100 - 143.75
d² = 37.25
d = 6.1
Related Questions
Use the drawing tool(s) to form the correct answer on the provided number line. Consider the functions below. Represent the interval where both functions are increasing on the number line provided.
Answers
In order to solve this problem, we will need a little more information, for example, we need to know what the functions are. Let's say the problem looks like this:
Use the drawing tool(s) to form the correct answer on the provided number line. Consider the functions below.
[tex]f(x)=|3x|-3[/tex]
and
[tex]g(x)=-x^{2}+8x-5[/tex]
Represent the interval where both functions are increasing on the number line provided.
Answer:
See attached picture
Step-by-step explanation:
Since this problem is posted on the algebra section of Brainly, I assume we will need to make use of an algebraic approach to solve this. Basically, the idea is to graph the functions and find the x-values for which both functions increas. In order to graph the functions, we will need to build a table with points for each of the functions. In order to graph the functions you need to pick the x-values you wish and evaluate them in the given functions. (See attached pictures)
Once you got the desired points, you can plot them in the coordinate axis and find the x-values for which both graphs will be increasing. If we take a close look at the graphs we can see the f(x) graph increases in the interval:
(0,∞)
and the g(x) graph increases in the interval:
(-∞,4)
so the interval in which both graphs are increasing will be the region where both intervals cross each other, which will be (0,4)
so that's the interval we draw on our number line. (see attached picture.
Answer:
see photos
Step-by-step explanation:
Plato/Edmentum
A shipping container is in the shape of a cube and has a side length of 6ft. It can hold 4 smaller boxes of flour.
If the dimensions of the shipping container are tripled, what is the max number of smaller boxes of flour that the shipping box can hold
Answers
Answer:
c. 108
Step-by-step explanation:
Given
Shape of container: Cube
Initial dimension of the container = 6ft by 6ft by 6ft
Initial Number of boxes = 4
Required
Calculate the number of boxes when the dimension is tripled
The first step is to calculate the initial volume of the box;
[tex]Volume = Length * Length * Length[/tex]
[tex]Volume = 6ft * 6ft * 6ft[/tex]
[tex]Volume = 216ft^3[/tex]
This implies that the container can contain 4 small boxes when its volume is 216;
Represent this as a ratio;
[tex]4 : 216[/tex]
The next step is to calculate the volume when the dimension is tripled;
[tex]New\ Length = Old\ Length * 3[/tex]
[tex]New\ Length = 6ft* 3[/tex]
[tex]New\ Length = 18ft[/tex]
Hence;
[tex]Volume = 18ft * 18ft * 18ft[/tex]
[tex]Volume = 5832ft^3[/tex]
Let the number of boxes it can contain be represented with x
Similarly, represent this as a ratio
[tex]x : 5832[/tex]
Equate both ratios;
[tex]4 : 216 = x : 5832[/tex]
Convert ratios to fractions
[tex]\frac{4}{216} = \frac{x}{5832}[/tex]
Multiply both sides by 5832
[tex]5832 * \frac{4}{216} = \frac{x}{5832} * 5832[/tex]
[tex]5832 * \frac{4}{216} = x[/tex]
[tex]\frac{5832 *4}{216} = x[/tex]
[tex]\frac{23328}{216} = x[/tex]
[tex]108 = x[/tex]
[tex]x = 108[/tex]
Hence, the maximum number of boxes it can contain is 108
Can someone please help me please?
Answers
Answer:
Step-by-step explanation:
Find the ratio of x to y. 2/3 4/9 1
Answers
Answer:
[tex]\frac{x}{y}[/tex] = [tex]\frac{4}{9}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{3}[/tex] = [tex]\frac{5}{y}[/tex]
This can be expressed in 2 parts as
[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3x = 10 ( divide both sides by 3 )
x = [tex]\frac{10}{3}[/tex]
and
[tex]\frac{2}{3}[/tex] = [tex]\frac{5}{y}[/tex] ( cross- multiply )
2y = 15 ( divide both sides by 2 )
y = [tex]\frac{15}{2}[/tex]
Thus
[tex]\frac{x}{y}[/tex] = [tex]\frac{\frac{10}{3} }{\frac{15}{2} }[/tex] = [tex]\frac{10}{3}[/tex] × [tex]\frac{2}{15}[/tex] ( cancel 10 and 15 by 5 )
[tex]\frac{x}{y}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{4}{9}[/tex]
Answer:
= 4/9
Step-by-step explanation:
2/3 to the averall of 2/3 ans we got 5/y
sp ab- x/5 = 4/9
FI = 20 IH = 19. Calculate the length of GI
Answers
Answer:
7.55
Step-by-step explanation:
3/x = x/19
x² = 57
x = 7.54983....
Question 5 of 10
Which of the following is the converse of the statement "If it is summer, then
it is warm outside"?
A. If it is warm outside, then it is summer.
B. If it is not warm outside, then it is summer.
O
C. If it is warm outside, then it is not summer.
D. If it is not warm outside, then it is not summer.
hs
Answers
Answer:
If it is warm outside, then it is summer
Step-by-step explanation:
To find the converse, interchange the hypothesis and the conclusion
"If it is summer, then it is warm outside"
If it is warm outside, then it is summer
Answer:
A. If it is warm outside, then it is summer
Step-by-step explanation:
statement "If it is summer, then it is warm outside" : warm=summer
A. If it is warm outside, then it is summer. : warm = summer ✓
B. If it is not warm outside, then it is summer. : not warm = summer x
C. If it is warm outside, then it is not summer. : warm =not summer x
D. If it is not warm outside, then it is not summer. : not warm = not summer x
PLEASE HELP THIS SOUL Jeremy is close to breaking his high school record for field-goal points in a basketball game. He needs 17 points to tie the record and 18 points to break the record. A field goal can be worth either 2 or 3 points. Which inequality shows that he failed to tie or break the record?
Answers
Answer:
2x + 3y < 17
Step-by-step explanation:
Let x be 2-pointers and y be 3-pointers. You're trying to prove that he failed to both tie OR break the record, so he has to have under 17 points total. Knowing our x and y values, just plug it into an inequality equation, and you have your answer.
La suma de dos números es 50 y la diferencia es 22. ¿Cuáles son los números?
Answers
Answer:
(3,2)
Step-by-step explanation:
Just took the test
Please help!! I need to get this! Brainliest For Right Anwser!
Answers
Answer:
Data set A best fit by the regression line.
Answer:
Data Set C.
Step-by-step explanation:
Well just even by common sense, the line for "data set A" is not good for the points on the graph
Please answer this in two minutes
Answers
Answer:
R = 21.8° to the nearest tenth
Step-by-step explanation:
To find Angle R we use tan
tan ∅ = opposite / adjacent
From the question
The opposite is 2
The adjacent is 5
So we have
tan R = 2/5
R = tan-¹ 2/5
R = 21.8° to the nearest tenthHope this helps you
Identify the zeros of f(x)= (x-7)(x+4)(3x-2) Choices:
Answers
Answer:
second option
Step-by-step explanation:
Given
f(x) = (x - 7)(x + 4)(3x - 2)
To find the zeros let f(x) = 0, that is
(x - 7)(x + 4)(3x - 2) = 0
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 4 = 0 ⇒ x = - 4
3x - 2 = 0 ⇒ 3x = 2 ⇒ x = [tex]\frac{2}{3}[/tex]
zeros are x = - 4, x = [tex]\frac{2}{3}[/tex], x = 7
A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20. The total cost of the dinner was $728. How many children and adults were at the party? Use the table to guess and check. Number of People a c c + a = 40 11 c + 20 a = 728 dollars 8 children and 32 adults 9 children and 31 adults 10 children and 30 adults 12 children and 28 adults
Answers
Answer:
C
Step-by-step explanation:
took test
Your math teacher caught you text messaging in class, again, so the teacher is making you give a presentation to your math class next week. Your assignment is to analyze the scatter plot that shows people's ages and the number of text messages sent in a day. In 3-5 sentences, explain what you see in the scatter plot below.
Answers
Answer:
The dots plotted on the scatterplot closely follow a graph of exponential decline. The large number-- around 350 texts per day-- by 18-22year-olds, seems to decline exponentially as age increases. With a little work, it may be possible to plot the curve and write an equation to model the decline.
Step-by-step explanation:
BOTS
TINSS
Self Mastery
1. Pak Kamil is a food committee member for a programme. He buys 10 kg of fish and 6 kg of vegetables for RM136 to
make a feast for the programme. He then adds 4 kg fish and 2 kg of vegetables for RM54. After experiencing some
technical problems, the programme had to be cancelled. If Pak Kamil sells all the fish and vegetables for RM8 and
RM0.50 per kilogram, respectively, what is the total loss experienced by Pak Kamil? Show your calculations.
TP 6
Answers
Answer:
The total loss experienced by Pak kamil is RM74
Step-by-step explanation:
The cost of 10 kg and 6 kg of vegetables = RM 136
The cost of 4 kg fish and 2 kg of vegetables = RM 54
Amount for which the fish was sold = RM8 per kilogram
Amount for which the vegetables was sold = RM0.50 per kilogram
The total mass of the fish = 10 kg + 4 kg = 14 kg
The total mass of the vegetables = 6 kg + 2 kg = 8 kg
The amount for which the meat was sold = 14 kg × RM8/kg = RM112
The amount for which the fish was sold = 8 kg × RM0.50/kg = RM4
RM112 + RM4 = RM116
The total amount for which the fish and vegetable was sold = RM136 + RM54 = RM190
Therefore, the total loss experienced by Pak kamil = RM190 - RM116 = RM74.
Determine the angles of rotation. Please answer!!!
Answers
Answer:
total rotation = 90 clockwise.
Step-by-step explanation:
Rotation from B to negative y-axis = 45 degrees because B(-3,-3)
Rotation from negative y-axis to B' = 45 degrees because B(-3,3)
Therefore total rotation = 45+45 = 90 clockwise.
The roots of \[x^2 + 5x + 3 = 0\]are $p$ and $q,$ and the roots of \[x^2 + bx + c = 0\]are $p^2$ and $q^2.$ Find $b + c.$[tex]The roots of\[x^2 + 5x + 3 = 0\]are $p$ and $q,$ and the roots of\[x^2 + bx + c = 0\]are $p^2$ and $q^2.$ Find $b + c.$[/tex]
Answers
By the factor theorem, we have
[tex]x^2+5x+3=(x-p)(x-q)\implies\begin{cases}3=pq\\-5=p+q\end{cases}[/tex]
[tex]x^2+bx+c=(x-p^2)(x-q^2)\implies\begin{cases}c=p^2q^2\\-b=p^2+q^2\end{cases}[/tex]
Then
[tex]c=p^2q^2=(pq)^2=3^2=9[/tex]
and
[tex]p+q=-5\implies(p+q)^2=p^2+2pq+q^2=25\implies b=-(p^2+q^2)=-19[/tex]
So we have b + c = -19 + 9 = -10.
The given roots of the equation x² + 5x + 3 = 0 as p and q, and x² + bx + c = 0 as p² and q², gives us the value of b + c = -10.
What are the sum and product of the roots of a quadratic equation?If the quadratic equation ax² + bx + c = 0, has roots as α and β, then:
Sum of the roots, α + β = -b/aProduct of the roots, αβ = c/aHow to solve the given question?In the question, we are informed that the roots of the expression x² + 5x + 3 = 0 are p and q, and the roots of the expression x² + bx + c = 0 are p² and q².
We are asked to find the value of b + c.
Since the roots of the equation x² + 5x + 3 = 0 are given as p and q.
So, we can say that:
Sum of the roots, p + q = -5Product of the roots, pq = 3Now, we are informed that the roots of the equation x² + bx + c = 0 are p² and q². So, we can say that:
Sum of the roots, p² + q² = -b, or, (p + q)² - 2pq = -b, or, (-5)² - 2(3) = -b, or, 25 - 6 = -b, or, 19 = -b, or, b = -19.Product of the roots, p²q² = c, or, (pq)² = c, or, 3² = c, or, c = 9.∴ b + c = -19 + 9 = -10.
∴ The given roots of the equation x² + 5x + 3 = 0 as p and q, and x² + bx + c = 0 as p² and q², gives us the value of b + c = -10.
Learn more about the sum and product of the roots of a quadratic equation at
https://brainly.com/question/10666510
#SPJ2
HELP!! Fiona races BMX around dirt course. If the radius of the course is 70 meters, what is the total distance Fiona covers in two laps of the race?
Answers
Answer:
879.64 (C)
Step-by-step explanation:
Answer:
879.2
Step-by-step explanation:
Simplify: 34w-(-8w)
Answers
Answer: 42w
Step-by-step explanation:
Subtracting a negative is like adding.
Since two negatives equal a positive.
Haley and Cameron buy nuts from the health store. Each bag of nuts has 0.1 pound of nuts inside. Hayley buys 4 bags. Cameron buys 14 bags. How many pounds of nuts do Haley and Cameron have together?
Answers
Answer:
1.8 pounds
Step-by-step explanation:
All you have to do is multiply 0.1 * 4, and then 0.1 * 14. Once you get the products, you can just add them together to get 1.8 pounds
11/12-1/6q+5/6q-1/3 it says its wrong
Answers
Answer:
2/3q + 7/12
Step-by-step explanation:
If you are trying to simplify your expression
4/6q + 7/12
2/3q + 7/12
In a competition, a school awarded medals in different categiories.40 medals in sport 25 medals in danceand 212 medals in music, if the total of 55 students got medals and only 6 students got medals in the three categories ,how many students get medals in exactly two of these categories?
Answers
Answer:
210
Step-by-step explanation:
Given:
Medals in sports = 40
Medals in dance = 25
Medals in music = 212
Total students that received medals = 55
Total students that received medals in all three categories = 6
Required:
How many students get medals in exactly two of these categories?
Take the following:
A = set of persons who got medals in sports.
B = set of persons who got medals in dance
C = set of persons who got medals in music.
Therefore,
n(A) = 40
n(B) = 25
n(C) = 212
n(A∪B∪C)= 55
n(A∩B∩C)= 6
To find how many students get medals in exactly two of these categories, we have:
n(A∩B) + n(B∩C) + n(A∩C) −3*n(A∩B∩C)
=n(A∩B) + n(B∩C) + n(A∩C) −3*6 ……............... (1)
n(A∪B∪C)=n(A)+n(B)+n(C)−n(A∩B)−n(B∩C)−n(A∩C)+n(A∩B∩C)
Thus, n(A∩B)+n(B∩C)+n(A∩C)=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)
Using equation 1:
=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)−18
Substitute values in the equation:
= 40 + 25 + 212 + 6 − 55 − 18
= 283 - 73
= 210
Number of students that get medals in exactly two of these categories are 210
Find the median, mean and mode of : 0,2,2,4,4,6,6,6,6 pls show working
Answers
Answer:
Step-by-step explanation:
The median is 4, which is the middle number. If there is no middle number, get the average of the two numbers closest to the median.
The mean is 4, which is the average of all the numbers. you add all of them up and divide by how many integers there are in the list.
The mode is 6, which is the integer that is shown the most.
Answer:
mean=4
median=4
mode=6
Step-by-step explanation:
Mean: add 0+2+2+4+4+6+6+6+6=36
36/ (the amount of numbers) 9= 4
Median: cross out the numbers left to right until you get to the middle which is 4.
Mode: 6 occurred four times, which is the most out of any of the other numbers in this sequence, so the answer is 6.
Which of the following shows the true solution to the logarithmic equation 3 log Subscript 2 Baseline (2 x) = 3 x = negative 1 x = 1 x = negative 1 and x = 1 x = 0, x = negative 1, and x = 1
Answers
Answer:
x = 1
Step-by-step explanation:
Using the rules of logarithms
log [tex]x^{n}[/tex] ⇔ n log x
[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
Given
3[tex]log_{2}[/tex] (2x) = 3
[tex]log_{2}[/tex] (2x)³ = 3
(2x)³ = 2³
8x³ = 8 ( divide both sides by 8 )
x³ = 1 ( take the cube root of both sides )
x = 1
Answer:
x=1 is the correct answer
Step-by-step explanation:
got it right on edge!!!!
points Q and R are midpoints of the sides of triangle ABC. Triangle A B C is cut by line segment Q R. Point Q is the midpoint of side A B and point R is the midpoint of side A C. The lengths of A Q and Q B are 4 p, the length of Q R is 2 p + 3, and the length of C B is 6 p minus 4. The lengths of A R and R C are congruent. What is AQ? 10 units 14 units 20 units 32 units
Answers
Answer:
AQ = 20 units
Step-by-step explanation:
I tried figuring in the pic below..
Similar triangles are triangles whose corresponding measures are proportional. All of their corresponding angles are also congruent. There are theorems and postulates that prove triangle similarity. Usually they requrie at least three parts of each triangle. The symbol for similarity is ~.
We have two triangles in the figure. ΔAQR and ΔABC. We will prove first that they are similar.
Answer:
20
Step-by-step explanation:
RQ is 1/2 of CB, so 2(2p+3)=6p-4. This would make p=5. Then, 5*4=20.
(also it is right on edgenuity)
which ratio forms a proportion 12/15
Answers
Answer:
[tex]\frac{20}{25}[/tex]
Step-by-step explanation:
See Attachment for Complete Question
Given
[tex]Ratio = \frac{12}{15}[/tex]
Required
Determine its equivalent proportion
[tex]Ratio = \frac{12}{15}[/tex]
Factorize the given expression
[tex]Ratio = \frac{3 * 4}{3 * 5}[/tex]
Divide the numerator and denominator by 3
[tex]Ratio = \frac{4}{5}[/tex]
We apply the same steps to the given options as follows:
1.
[tex]Ratio = \frac{21}{28}[/tex]
Factorize
[tex]Ratio = \frac{7 * 3}{7 * 4}[/tex]
Divide the numerator and denominator by 7
[tex]Ratio = \frac{3}{4}[/tex]
This is not an equivalent proportion of [tex]\frac{12}{15}[/tex]
2.
[tex]Ratio = \frac{20}{25}[/tex]
Factorize
[tex]Ratio = \frac{5 * 4}{5 * 5}[/tex]
Divide the numerator and denominator by 5
[tex]Ratio = \frac{4}{5}[/tex]
This is equivalent to [tex]\frac{12}{15}[/tex] because they both simplify to [tex]\frac{4}{5}[/tex]
There's no need to check the last option;
Hence, the option that answers the question is [tex]\frac{20}{25}[/tex]
22. “n is less than 15 and greater than or equal to 3”
Complete the following steps to receive full credit for this question:
• The inequality translated in numerical form
• The solution graphed on a number line
• The solution in interval form
Answers
Answer:
3 ≤ n < 15
not nnot nyes nyes nyes nyes nyes nyes nyes nyes nyes nyes nyes nyes nnot n1-2. not n
3-4. yes n
5-6. yes n
7-8. yes n
9-10. yes n
11-12. yes n
13-14. yes n
15-16. not n
Step-by-step explanation:
Everything on this side is less than, < but everything on this side is greater.
Everything on this side could be equal or less, ≤ but everything on this side is
not.
I'm had a hard time with the number line, but imagine a line going through the periods and there being a dot where the yes ns end, and start.
Intervals has each point represent more than one number making the line shorter.
8³=512 indique a base
Answers
Answer:
8
Step-by-step explanation:
8^3 = 8*8*8 = 512
la base = base = 8
The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hours and standard deviation of 0.3 hours. Calculate the following: A random movie is between 1.8 and 2.0 hours. A movie is longer than 2.3 hours. The length of movie that is shorter than 94% of the movies
Answers
Answer:
0.260.911.43Step-by-step explanation:
given data
mean = 1.9 hours
standard deviation = 0.3 hours
solution
we get here first random movie between 1.8 and 2.0 hours
so here
P(1.8 < z < 2 )
z = (1.8 - 1.9) ÷ 0.3
z = -0.33
and
z = (2.0 - 1.9) ÷ 0.3
z = 0.33
z = 0.6293
so
P(-0.333 < z < 0.333 )
= 0.26
so random movie is between 1.8 and 2.0 hours long is 0.26
and
A movie is longer than 2.3 hours.
P(x > 2.3)
P( [tex]\frac{x-\mu }{\sigma}[/tex] > [tex]\frac{2.3-\mu }{\sigma}[/tex] )
P (z > [tex]\frac{2.3-1.9 }{0.3}[/tex] )
P (z > 1.333 )
= 0.091
so chance a movie is longer than 2.3 hours is 0.091
and
length of movie that is shorter than 94% of the movies is
P(x > a ) = 0.94
P(x < a ) = 0.06
so
P( [tex]\frac{x-\mu }{\sigma }[/tex] < [tex]\frac{a-\mu }{\sigma }[/tex] )
[tex]\frac{a-1.9 }{0.3 } = -1.55[/tex]
a = 1.43
so length of the movie that is shorter than 94% of the movies about 1.4 hours.
Help please!!!!!!!!!!!!
Answers
Answer:
1/3
Step-by-step explanation:
Let's say you picked the blue one first. You have a 2/3 chance of doing that, and now you're left with 2. Now, to pick the green one, you have a 1/2 chance. Multiply that and you see that you have a 1/3 chance of picking it last.
Answer:
1/3.
Step-by-step explanation:
The probability that the red cube WON'T be picked on the first draw is 2/3. This is because there is a 1/3 probability of picking a green cube, added to a 1/3 probability of picking a blue cube.
The probability that the red cube WON'T be picked on the second draw is 1/2. This is because one cube has already been picked, so there are two remaining. You can only pick one of the two.
(2/3) * (1/2) = (2 * 1) / (3 * 2) = 2 / 6 = 1/3.
Hope this helps!
Which one of the following would most likely have a negative linear correlation coefficient? A. the value of a car compared to its age B. the points scored by a basketball player compared to his minutes played C. the height of a woman compared to her age D. the hours of daylight in a city throughout The year
Answers
Answer:
B. the points scored by a basketball player compared to his minutes played
Step-by-step explanation: