Answers
Answer:
a=96
b=42
c=138
Step-by-step explanation:
as lines BA and BC are equal, angles BAC and BCA are also equal, so b = 42. Now a can be found by 180 - 42 - 42 as sum of angles in a triangle is 180. The line AC is a straight line, so b + c = 180 , so c = 180 - 42 = 138
Related Questions
Hello I would really appreciate if someone could help me with this math question. I’m so confused
Answers
Answer:
a. f = 17.5/c
b. 8.75 N
Step-by-step explanation:
(a)Inverse variation means one variable is proportional to the inverse of the other. The equation for that is ...
f = k(1/c) . . . . . . force (f) is proportional to the inverse of distance (c)
We find the value of k using data given for a specific instance.
3.5 N = k(1/(5 cm)) . . . . use the given values
17.5 N·cm = k . . . . . . multiply by the denominator
Then the equation of interest is ...
f = 17.5/c . . . . . . . where c is in cm, and f is in newtons
__
(b)Using the above equation, we find the force to be ...
f = 17.5/2 = 8.75 . . . . newtons
_____
Additional comment
We often look at several different kinds of proportionality:
y = kx . . . . directy = k(1/x) . . . . inversey = kx² . . . . proportional as the squarey = kx·z . . . . jointly proportional to x and zand there are combinations of these, such as ...
y = kr²h . . . . jointly proportional to h and the square of rYou may have noticed that when x and y are inversely proportional, their product is a constant. y = k/x ⇒ xy = k
__
We have left off the units of k in the problem above. Sometimes it is a good idea to retain them, or to pay close attention to what they are. This can avoid using the wrong measures for the variables.
f = (17.5 N·cm)/(2 cm) = 8.75 N . . . . . units of cm cancel
Which coordinates best represents the vertex of the graph first correct answer gets Brianliest
Answers
Answer:
The vertex of the graph is:
the minimum point for a parabola that opens upwardsthe maximum point for a parabola that opens downwardsAs this parabola opens upwards, the vertex is the minimum point.
From inspection of the graph, vertex = (-3, -1)
Equation of the graph
From inspection we can see that the x-intercepts are when
x = -4 and x = -2
[tex]\sf x = -4 \implies x+4=0[/tex]
[tex]\sf x = -2 \implies x+2=0[/tex]
Therefore:
[tex]\sf y=(x+4)(x+2)[/tex]
Expand:
[tex]\sf \implies y=x^2+6x+8[/tex]
Answer:
[tex]B)f(x) = {x}^{2} + 6x + 8[/tex]
Step-by-step explanation:
Let [tex] f(x)=x^2[/tex] be the parent function. With transformation of function, firstly,we know that,
We can move it up or down by adding a constant to the y-valuealgebraically
g(x)=x²+CClearly, The parabola is moved down by 1 unit thus, C is -1. Therefore our function transforms to
f(x)=x²-1secondly, we know that,
We can move it left or right by adding a constant to the x-valuealgebraically,
g(x)=(x+C)²in case,
C is positive, g(x) moves to the left and vise versaSince the parabola is moved left by 3 unit, C is +3, and hence Our function eventually becomes
[tex]f(x) = (x + 3 {)}^{2} - 1[/tex]simplifying it yields:
[tex]\implies \boxed{f(x) = {x}^{2} + 6x + 8}[/tex]
Hence,B is our required answer
The roof of one building is 400 feet below the roof of another building. A person standing on the lower roof sees another person standing on the higher roof at a 35o angle of elevation. Approximately how far apart are the buildings? Round to the nearest foot.
Answers
Since the roof of one building is 400 feet below the roof of another building, the buildings are 571 ft apart.
The required triangleThe line of sight of the lower building to the taller building, the distance of the buldings apart, D and the height of the lower building below the taller building, h form a right angled triangle with angle Ф = 35° = angle of elevation of taller building and opposite side, h.
From trigonometric ratios, we have that
tanФ = h/D
So, D = h/tanФ
Since
h = 400 ft and Ф = 35°,Distance of building apartSubstituting the values of the variables into the equation, we have
D = h/tanФ
D = 400 ft/tan35°
D = 400 ft/0.7002
D = 571.27 ft
D ≅ 571 ft to the nearest foot
So, the roof of one building is 400 feet below the roof of another building, the buildings are 571 ft apart.
Learn more about distance of building apart
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Pls help with this question
Answers
Answer:
They(play) football for two hours (present perfect continuous
I need help with a math problem.
Answers
Answer:
where is the problem?
I need help.... Could someone please help me
Answers
furthering dendritic untiring s very crushed iridium rushes Rivendell ft Zarathustra
(180 - x) / 70
This gives you the MINIMUM time, so t CAN be more than this so
t > (180 - x) / 70
5>x/5
Show all work in steps
Answers
Answer:
[tex]\boxed{\sf{x < 25}}[/tex]Step-by-step explanation:
To find the value of x, isolate it on one side of the equation.
5>x/5First, you have to switch sides.
→ x/5<5
Then, you multiply by 5 from both sides.
→ 5x/5<5*5
Solve.
Multiply the numbers from left to right.
→ 5*5=25
→ x<25
Therefore, the solution is x<25, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
25 > x
Step-by-step explanation:
[tex]5 > \frac{x}{5}[/tex]
To find the value of x, you have to multiply both sides by 5.
[tex]5*5 > \frac{x}{5}* 5[/tex]
[tex]25 > \frac{5x}{5}[/tex]
[tex]25 > x[/tex]
What is 8 cm enlarged by a scale factor of 6.5
Answers
Answer:
8cm enlarged by a scale factor of 6.5 is 52cm I believe.
Step-by-step explanation:
8 times 6.5= 52cm
Solve using the square root property.X^2=-12
Answers
Answer:
x = ± 2i[tex]\sqrt{3}[/tex]
Step-by-step explanation:
note that [tex]\sqrt{-1}[/tex] = i
x² = - 12 ( take square root of both sides )
x = ± [tex]\sqrt{-12}[/tex] = ± [tex]\sqrt{4(3)(-1)}[/tex] = ± 2i[tex]\sqrt{3}[/tex]
Question 8
1 pts
What is the best way to describe the central tendency of residential real estate prices in Westwood?
Hint: Westwood real estate is highly skewed. You are able to find houses that are $600,000 to
$69,000,000 with an average price of $1,020,000.
O Median
O Mean
Answers
The best way to describe the central tendency of residential real estate prices in Westwood is mean.
What are measures of central tendency?
A measure of central tendency attempts to describe a data set by determining the central value of the data set. Measures of central tendency are mean, median and mode
Mean is the average of a set of numbers.
Mean = sum of the numbers / total number
To learn more about mean, please check: https://brainly.com/question/25842202
A,B,C,D are points on the circumference of a circle centre o
ed is a tangent to the circle
angle odb = 25
work out angle bad
Answers
The points A,B,C,D make up the circumference of the circle
The measure of angle BAD is 65 degrees
How to determine the measure of angle BAD?The measure of angle ODB is given as:
ODB = 25 degrees
Considering the triangle BOD, we have:
ODB + BOD + DBO = 180
Where:
ODB = DBO = 25
So, we have:
25 + BOD + 25 = 180
Solve for BOD
BOD = 130 degrees
The angle at an arc is twice the angle at the circumference.
So, we have:
BOD = 2 * BAD
Substitute 130 for BOD
130 = 2 * BAD
Divide both sides by 2
65 = BAD
Hence, the measure of angle BAD is 65 degrees
Read more about angle measures at:
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Joanne earns $3,000 per month at her job at the department store. If her taxes are 28 percent of her pay, what is her monthly take-home pay?
Answers
So 28 percent of 3000$ is
3000*28/100 where 3000*28 is equal to
84000/100
840$ is 28 percent of 3000$
So to fine the remaining amount of money after she pays that amount is
3000$-840$
Which is equal to 2160$
rena divides a square into 8 equal part. what unit fraction should she write as a label for each parts?
Answers
The unit fraction is 1/8
A unit fractions one with numerator being 1
She divide the square into 8 and took 1 part out
Hence is 1 out of 8 Represented mathematically as 1/8
If rena divides a square into 8 equal part then 1/8 is a unit fraction which she has to write as a label for each parts.
What is Fraction?A fraction represents a part of a whole.
Given that rena divides a square into 8 equal part.
A division is a process of splitting a specific amount into equal parts.
Let the whole square is divided into eight equal parts.
Which can be represented by 1/8.
Where the numerator 1 represents the whole and eight represents the parts.
The unit fraction for each part is 1/8 because the square is divided into 8 equal parts.
This means each part is one eighth of the whole.
Hence, if rena divides a square into 8 equal part then 1/8 is a unit fraction which she has to write as a label for each parts.
To learn more on Fractions click:
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100 apples in total, 65% are green, and 21% of the green apples have worms. how many apples have worms?
Answers
Answer:
14 apples are green with worms.
Step-by-step explanation:
100 apples right
65% are green
21% are green with worms
Imma pretend the first time you meant red ok....
sooo to solve this
.65*100=65 are red
.21*65=13.65 are green with worms
Abigail volunteers as a gift wrapper at a children's bookstore during the holiday season. She can gift wrap a book in 3.5 minutes. Let t be the total number of books she wraps, and let m be the total minutes she spends wrapping. The equation m=3.5t represents this situation. Graph the equation.
Answers
t is the number of books she wraps
So 3.5t is the total number of minutes she spends wrapping or m
For example on the graph
If she wraps 6 books then she spends a total of 21 minutes wrapping books because 3.5(6) is 21.
What is the volume of the prism?
Answers
Answer:
[tex]the \: volume \: of \: a \: rectangular \: prism \: is \\ l \times w \times h \\ in \: this \: graph \: \\ l = 2 \frac{1}{4} \\ w = 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: h = 4 \\ 2 \frac{1}{4} \times 2 \times 4 \\ 4 \frac{1}{2} \times 4 = 18 \\ the \: volume \: is \: 18 {in}^{3} [/tex]
ANOTHER 1 HELP ME OUTT
Answers
Answer:
the last one
Step-by-step explanation:
(clustered around 1 and 3)
Answer:
The data are clustered from 1 to 3, so most teams won 1 to 3 games.
Step-by-step explanation:
There is only 1 dot at 8 and more near 1-3
For which values of x is the expression undefined
Answers
Answer:
7, -9
Reasoning:
When x is 7 or -9, the denominator equates to zero, making the expression undefined because nothing can be divided by zero.
I am sort of confused with this question. Could I get help here? I appreciate it! Thank you!
Answers
Answer:
y = 1.36x
Step-by-step explanation:
There will be no touchdown throws if no games are played. The y-intercept must be zero. That is, the number of touchdown throws is considered to be proportional to the number of games, with the constant of proportionality being 1.36:
y = 1.36x
Write an equation of the line that passes through (3, 1) and (0,10) .
y=
Answers
Answer:
Step-by-step explanation:
hello :
y = -3x+10
A chemist has three different acid solutions.
The first solution contains 15 % acid, the second contains 30 % acid, and the third contains 50 %
acid,
She created 78 liters of a 35 % acid mixture, using all three solutions. The number of liters of 50 %
solution used is 3 times the number of liters of 30 % solution used.
How many liters of each solution was used?
Answers
Answer:
Its 50 and it can reach 60
Question 1.
Let P = {3, 5, 7, 9, 11} Q = {9, 11, 13} R = {3, 5, 9} S = {13, 11}
Write the elements for the following: [4 marks]
(a) R ⊂ P
(b) Q ⊂ P
(c) R ⊂ S
(d) S ⊂ Q
(e) S ⊂ P
(f) P ⊄ Q
(g) Q ⊄ R
(h) S ⊄ Q
Question 2.
i) Write down all the possible proper subsets for each of the following:
[3marks]
(a) {a, b, c, d}
(b) {1, 2, 3}
(c) {p, q, r}
(d) {5, 10}
(e) {x}
(f) ∅
ii) Which of the following sets is a universal set for the other four sets?
(Select your answer) [1mark]
(a) The set of even natural numbers
(b) The set of odd natural numbers
(c) The set of natural numbers
Answers
Answer:
Question 1
a) { 3, 5, 9 }
b) { 9, 11 }
c) { }
d) { 11, 13 }
e) {11}
f) {3, 5, 7}
g) {11, 13}
h) {9}
Question 2 ( i )
a) { a,b,c,d }
{a}
{b}
{c}
{d}
{a,b,c}
{a,b}
{a,c}
{a,d}
{b,c}
{b,d}
{c,d}
{a,b,d}
{b,c,d}
{a,c,d}
{ }
b) {1,2,3}
{1,2}
{1,3}
{1}
{2}
{3}
{2,3}
{ }
c) {p, q ,r}
{ p,q}
{ p,r}
{ q,r}
{p}
{q}
{r}
{ }
d) { 5,10}
{ 5}
{10}
{ }
e) {x}
{ }
f) { ○ }
{ }
Question 2 ( ii )
(c) The set of natural numbers
Mark stands at the intersection in observes if cars go left right or straight. After watching for a while, he recorded that 10 cars went straight for cars went left and six cars went right. Estimate the probability that the next car goes left then place the probability on the scale below. help me pls. I have way more packets and I need them done by tmr
Answers
Answer:
0.2
Step-by-step explanation:
Total number of cars: 10 + 4 + 6 = 20
Number of cars that turned left: 4
p(left) = 4/20 = 0.2
To place 0.2 on the scale, divide the segment from 0 to 1/2 into 5 equal parts, and place 0.2 on rthe second from the left.
57771298
How would the mode change if the number 5 were added to the set?
Answers
Answer:
The mode of this list of numbers would still be [tex]7[/tex] (the mode did not change) after "[tex]5[/tex]" was added to the list.
Step-by-step explanation:
The mode of a list of elements is the member that appears the most frequently.
The original list of numbers in this question [tex][5,\, 7,\, 7,\, 7,\, 1,\, 2,\, 9,\, 8][/tex] included the following members:
[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \hline\hline 1 & 1 \\\hline 2 & 1 \\\hline 5 & 1\\\hline 7 & 3 \\\hline 8 & 1 \\\hline 9 & 1 \\\end{array}[/tex]
[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \cline{1-2}\\[-1em]\cline{1-2} 1 & 1 \\\cline{1-2} 2 & 1 \\\cline{1-2} 5 & 1\\\cline{1-2} 7 & 3 \\\cline{1-2} 8 & 1 \\\cline{1-2} 9 & 1 \\\end{array}[/tex].
The member "[tex]7[/tex]" appeared more often than any other member of this list. Thus, the mode of the original list was "[tex]7\![/tex]".
Adding "[tex]5[/tex]" to the original list would give the list [tex][5,\, 7,\, 7,\, 7,\, 1,\, 2,\, 9,\, 8,\, 5][/tex]. Members of this list are:
[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \hline\hline 1 & 1 \\\hline 2 & 1 \\\hline 5 & 2\\\hline 7 & 3 \\\hline 8 & 1 \\\hline 9 & 1 \\\end{array}[/tex]
[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \cline{1-2}\\[-1em]\cline{1-2} 1 & 1 \\\cline{1-2} 2 & 1 \\\cline{1-2} 5 & 2\\\cline{1-2} 7 & 3 \\\cline{1-2} 8 & 1 \\\cline{1-2} 9 & 1 \\\end{array}[/tex].
The member "[tex]7[/tex]" still appeared more often than any other member of this list. Thus, the mode of the new list would also be "[tex]7\![/tex]".
Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)
Find the equation using this graph.
Answers
Answer:
the slope is 2
y=2x-1
Step-by-step explanation:
y(2)-y(1)/x(2)-x(1) is the formula for slope
-1-0/0-0.5=-1/0.5=2
however, it is looking for the equation
y=mx+b
(b=y intercept)
m=slope
y=2x-1
Answer:
Step-by-step explanation:
The equation of a line is y = m*x + b
So plug in the numbers...
the slope is the change in y over the change in x or (y - y₁)/(x - x₁)
(-1 - 0)/(0 - 0.5) = 2
so... m = 2
and b is the y-intercept which is -1
therefore the answer is: y = 2x - 1
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
( I have verified my answer on an online calculator)
convert y = -0.5(x + 4)^2 - 2 standard form
Answers
Answer:
I think the answer is: y = 0.5x^2 + 4x + 6, <3
Step-by-step explanation:
Express 10/1,000 as a decimal
Answers
just count how many zeroes are in 1000 (3) and then move 3 times to the left which gives you 0.01
Answer:
0.01
Step-by-step explanation:
hope this helps -_-
write the ratio as a fraction in simplest form
Answers
Chapter 5 how are integers and absolute value used in a real-world situations?
Answers
(-3 + 3y = 9)(8x - 6y = -4)
Answers
Step-by-step explanation:
(3y=9+3)(8x-6y=-4)
(3y=12)(8x-6y=-4)
(y=12÷3)(8x-6y=-4)
(y=4)(8x-6y=-4)
Now putting the value of y in (8x-6y=-4)
8x-6*4=-4
8x-24=-4
8x=24-4
8x=20
x=20/8
x=5/2
