Answer: 8 units
Step-by-step explanation:
This can be solved using the Pythagorean Theorem:
c² = a² + b²
c is the hypotenuse
a and b are the sides
Solving for the length:
10² = 6² + b²
100 = 36 + b²
b² = 100 - 36
b² = 64
b = √64
b = 8 units
The missing side is 8 units.
On two separate occasions, Mr. Johnson needed some electrical work done on his house. He called an electrician from Electrical Outlet in town. The electrician worked 2.5 hours and charged $180 for the first visit. The second time he worked 4 hours and charged $243. Let be the number of hours the electrician works in a single visit, and let be the total amount, in dollars, that the electrician charged for the visit. A. Create the equation that relates the total cost to the time worked. [4 pts] Note: This will be a linear relationship, so start by finding the slope of the line based on the given information. Express the final equation in = + form.
Answer:
y = 42x + 75
Step-by-step explanation:
Using the equation of a line in the form
(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁) = m where m is the slope of the line
Let x be the number of hours the electrician works in a single visit, and let y be the total amount, in dollars, that the electrician charged for the visit.
Since the electrician worked 2.5 hours and charged $180 for the first visit. The second time he worked 4 hours and charged $243. where x₁ = 2.5 hours, y₁ = $ 180, x₂ = 4 hours and y₂ = $ 243
We find the slope of the line, m
m = (243 - 180)/(4 - 2.5) = (243 - 180)/(4 - 2.5) = 63/1.5 = 42
Since m = (y - y₁)/(x - x₁) ,
42 = (y - 180)/(x - 2.5)
cross-multiplying, we have
42(x - 2.5) = (y - 180)
expanding the bracket, we have
42x - 105 = y - 180
adding 180 to both sides, we have
42x - 105 + 180 = y - 180 + 180
42x + 75 = y
y = 42x + 75
The linear equation that relates the total cost to the time worked is:
[tex]y = 42x + 75[/tex]
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, the function has two points: (2.5, 180) and (4, 243).
The slope is given by change in y divided by change in x, hence:
[tex]m = \frac{243 - 180}{4 - 2.5} = 42[/tex]
Then:
[tex]y = 42x + b[/tex]
Considering point (2.5, 180), we have that when x = 2.5, y = 180, which is used to find b.
[tex]y = 42x + b[/tex]
[tex]180 = 42(2.5) + b[/tex]
[tex]b = 75[/tex]
Hence, the function is:
[tex]y = 42x + 75[/tex]
More can be learned about linear equations at https://brainly.com/question/24808124
Which expression is equivalent to if no denominator equals zero
Answer:
B (1/x^2 - 4x + 3)
Step-by-step explanation:
You can first write the second equation as multiplication by multiplying by the reciprocal and then expand.
The result of the given division expression is [tex]\frac{1}{(x-3)(x-1)}[/tex]
Given the expression;
[tex]\frac{x+3}{x^2-2x-3} + \frac{x^2+2x-3}{x+1}[/tex]Factorize the quadratic function in the expression to have:
[tex]=\frac{x+3}{x^2-3x+x-3} \div \frac{x^2+3x-x-3}{x+1} \\=\frac{x+3}{x(x-3)+1(x-3)} \div \frac{x(x+3)-1(x+3)}{x+1} \\=\frac{x+3}{(x-3)(x+1)} \div \frac{(x+3)(x-1)}{x+1} \\=\frac{x+3}{(x-3)(x+1)} \times \frac{x+1}{(x+3)(x-1)} \\=\frac{1}{(x-3)(x-1)}[/tex]
Hence the result of the given division expression is [tex]\frac{1}{(x-3)(x-1)}[/tex]
Learn more on function here:
https://brainly.com/question/22340031
PLEASE I NEED HELP WITH THIS ASAP..
Answer:
first question is:10.5 and question 2 is:20
Step-by-step explanation:
Hope this helps!
Which of the following is NOT a linear function?
y=x
y=5
y=-3x-5
y=x^2+6
Which equation matches the hanger?
y = 6.3
3y = 6.3
y/3 = 6.3
y + 3 = 6.3
Answer:
B 3y=6.3
Step-by-step explanation:
On the hangers left side there are 3 Y's so we would put that together as 3y
On the hangers right side there is a rectangle with a whole of 6.3
The 3y would equal with the 6.3
what is the solution to the system of equations x-y=5 and 3x+7y=-5
Answer:
Step-by-step explanation:
3(x-y)-3x-7y=3(5)-(-5)
3x-3y-3x-7y=15+5
-10y=20
y=-2, since x-y=5
x-(-2)=5
x+2=5
x=3
So the solution is the point (3,-2)
Problem to solve:
b) The Smith family has five members. They go to the beach for a day. Each member has a small towel and a
beach towel. How many towels did they bring to the beach?
Answer:
25 towels hahha
Step-by-step explanation:
what is the slope of this line? I'm not sure if I'm doing it right. But I did it like this:
change in y/change in x
-4-4/-4-1
-8/-5
should i simplify it? or keep it a fraction?
Looks like the rise(y) is 2.5 and the run(x) is 1.5. ur going from neagitive to poitive or viseversa so 2.5/1.5. usally use two points on the line. i used (-1.5,0) and (0,2.5) to get 2.5/1.5
1. Are two congruent figures similar? Explain.
Answer:
Yes
Step-by-step explanation:
Congruence means two objects (whether two dimensional or three dimensional) are identical in size and shape. Everything about them -- their angles, lengths of sides, overall dimensions -- are identical. Similar means being the same shape. Two congruent figures must be the same shape, so they are similar.
Hope that helps!
-Sabrina
Hi can someone tell me what this is in y=mx+b please?
Answer: y= 5x +7
Slope is rise over run. From the two given points we rise 10 and run 2 which is 10/2 or 5.
7 is how high/low we are when we are at x=0
Answer:
Hi!
y= 5x+7
The five is the slope and i counted from the point on the y axis until the next point on the line. Which is 10/2. simplified that is 5/1 or just 5.
The seven in where the line intercepts the y axis.
Hope this helps! Have a good day and don't forget to be tiger fierce!! :)
3. Solve for the side length of BA and AC. * (image attached)
1 point
Captionless Image
BA = 8, BA = 30
BA = 8, AC = 16
BA = 8, AC = 8√2
BA = 8, AC = 8√3
Answer:
D. BA = 8, AC = 8√3
Step-by-step explanation:
First, because this is a right triangle, refer to the trigonometric ratios:
tangent = opposite side/adjacent side
sine = opposite side/hypotenuse
cosine = adjacent side/hypotenuse
BA is the opposite side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use sine:
sine = opposite side/hypotenuse
sin(30) = BA/16
sin(30) / 1 = BA / 16
Cross multiply:
BA = sin(30) (16)
BA = 8
AC is the adjacent side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use cosine:
cosine = adjacent side/hypotenuse
cos(30) = AC/16
cos(30) / 1 = AC / 16
Cross multiply:
AC = cos(30) (16)
AC = 8√3
You can check by using the Pythagorean Theorem:
a² + b² = c²
8² + (8√3)² = 16²
64 + 192 = 256
256 = 256
Out of the 232 media executives, 6 of them control 90% of all media outlets. If there are a total of 400 major
media outlets, how many are controlled by those 6 executives.
Answer:
360
Step-by-step explanation:
6 executives control 90% of the 400 major media outlets
so we need to find 90% of 400
first, convert 90% to a decimal and multiply
0.9•400 gives us 360
so 360 media outlets are controlled by those 6 executives
hope this helps babe <3
Can someone plz help me plz I beg u the answer choices are at the bottom just pls
Answer:
Step-by-step explanation:
HELP IT'S DUE IN 10 MINUTES
Noelle rode her bike 5/10 of a kilometer to the library, and then another 22/100 of a kilometer to her friend's house. How far did Noelle ride her bike in all?
A. 27/110
B. 7/10
C. 72/100
D. 225/100
Answer:
C. 72/100
Step-by-step explanation:
x+1/3=5
help plzzzzzzz
Answer:
x = 4 2/3
Step-by-step explanation:
x = 5 - 1/3
x = 4 2/3
Answer:
x = [tex]\frac{14}{3}[/tex]
Step-by-step explanation:
Subtract [tex]\frac{1}{3}[/tex] from both sides
x + [tex]\frac{1}{3}[/tex] - [tex]\frac{1}{3}[/tex] = 5 - [tex]\frac{1}{3}[/tex]
x = [tex]\frac{14}{3}[/tex] or 4 [tex]\frac{2}{3}[/tex]
A farmer sows 100 seeds of a new type of corn and wants to quickly determine the yield, or total number of ears of corn, for the crop when it has matured. He decides to take a simple random sample of the crop. Which of the following correctly labels the population?
00–99
01–99
0–99
1–100
Answer:
00–99
Step-by-step explanation:
I got it Correct
The correct label for the population would be: 1-100 as per the given scenario.
What is population?In statistics, a population refers to the entire group of individuals, objects, or measurements that the researcher is interested in studying.
In this scenario, the population refers to the entire group of items or people that the farmer is interested in studying.
In this case, the population is the total number of ears of corn produced by all 100 seeds sown by the farmer.
As a result, the population's correct label would be: 1-100. Because the farmer is interested in the yield of all 100 seeds, the population includes all possible outcomes of the experiment, ranging from one to one hundred ears of corn.
Option A, B, and C do not include all possible outcomes, whereas option D includes the number 0, which is not an option in this scenario.
Thus, the answer is 1-100.
For more details regarding population, visit:
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I need help with this
Answer:
13.5
Step-by-step explanation:
4+5 = 9.
9/2 = 4.5
4.5 * 3 = 13.5
does -7/10 = -4/5? plz hurry
Answer:
False
Step-by-step explanation:
_7/10 does not equal -4/5
Answer: No.
Step-by-step explanation: The left side, -0.7 doesn't equal the right side, -0.8, so it is false.
To find equivalent fractions, multiply the the numerator and denominator by the same whole number.
[tex]-\frac{7}{10}\times\frac{2}{2} =-\frac{14}{20}[/tex]
[tex]-\frac{7}{10}\times\frac{3}{3} =-\frac{21}{30}[/tex]
[tex]-\frac{7}{10}\times\frac{4}{4} =-\frac{28}{40}[/tex]
And so on...
[tex]-\frac{4}{5}\times\frac{2}{2} =-\frac{8}{10}[/tex]
[tex]-\frac{4}{5}\times\frac{3}{3} =-\frac{12}{18}[/tex]
[tex]-\frac{4}{5}\times\frac{4}{4} =-\frac{16}{20}[/tex]
And so on...
If we keep doing this, they won't equal each other.
So no, they're not equivalent.
What is categorical data
Answer:
Categorical variables represent types of data which may be divided into groups. It can not measure.
Step-by-step explanation:
What is the GCF of the terms of the polynomial −12y^4 + 8y^3 – 4y^2?
Answer:
the GCF of the terms of the polynomial −12y^4 + 8y^3 – 4y^2 is:
4 y^2
this is due tonight pls
Answer:
I think it's A.3
Step-by-step explanation:
if you didvide the 7.8 by 2.6 then you will get 3, therfore you will have to multiply the original (2.6) times 3 in order to get the scaled image (7.8).
I think 2.8
Step-by-step explanation:
thats what i have today
what is the Variable in
3x + 7
the variable is x, that's all
Answer:
x is the variable
3 is the coefficient, 7 is the constant, and + is the operator.
Here's how to identify other terms:
If a simple machine requires an effort of 20 newtons to lift a load of 100 newtons, its
mechanical advantage is:
a. 5
b. 5N
c. 5MA
Answer:
A. 5
Step-by-step explanation:
PLEASE HELP !!! ILL GIVE BRAINLESS
Answer:
a. ∠G = 180 - (90 + 32)
b. ∠G = 58°
c. ∠J = 180 - 58°
d. ∠J = 122°
Step-by-step explanation:
Angles are added to result in 180°
when the line is straight; thus:
a.
∠G = 180 - (90 + 32)
b.
∠G = 180 - 122
∠G = 58°
c.
∠J = 180 - 58°
d.
∠J = 122°
_____________________
#IndonesianPride - kexcvi
Maddie and Josh are trying to clean the roof of their house. They place the base of the ladder 3 feet away from the base of the house. Their ladder is 27 feet long. What angle does the ladder make with the ground?
Answer:
83.6 degrees
Step-by-step explanation:
In a bag of marbles, 12% were red, 14% were blue, and the rest were
white. If the bag has 250 marbles, how many were red or blue?
Answer:
30 marbles were red
35 marbles were blue
Step-by-step explanation:
turn the percentages into decimals and multiply by total value
0.12•250= 30 red marbles
0.14•250= 35 blue marbles
hope this helps <3
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=71°, and DB = 67 feet. Find the length of BC to the nearest tenth of a foot.
Answer:
in triangle BCD
relationship between base and hypotenuse is given by cos angle
cos 71=b/h
cos71=BD/BC
cos71=67/x
x=67/cos71=205.8ft.
the length of BC to the nearest tenth of a foot is 206ft.
Can y’all do 5-6 please.I have this whole thing due at 12:00 lol.
another question of the homework
Answer:
Jessica's trains travels at a faster speed
Step-by-step explanation:
From the question,
Using the graph,
The total distance distance traveled by Khalid after 2 hours is
d = 280 mi.
S = d/t....................... Equation 1
Where S = Khalid's speed, d = Khalid's distance, t = time.
S = 280/2
S = 140 mph.
From the euqation,
The total distance traveled by Jessica after 2 hours is
y = 150×2
y = 300 mi.
Also Using
S' = d'/t
Where S' = Jessica's speed, d' = Jessica's distance
S' = 300/2
S' = 150 mph.
From the above, Jessica's trains travels at a faster speed
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks the players to run from one corner to the corner diagonally across the field. How far do the players run?
Answer:
150 meters
Step-by-step explanation:
Answer:
150 metresStep-by-step explanation:
We can imagine the rectangle, when cut diagonally it forms a Right angled Triangle
Using this we can find the diagonal i.e hypotenuse.
From the question we know that,
Length = 120 metres
Width = 90 metres
So we can find the diagonal by keeping it as x using the pythogorean theorem.
[tex] {120}^{2} + {90}^{2} = {x}^{2} \\ 14400 + 8100 = {x}^{2} \\ 22500 = {x}^{2} \\ x = \sqrt{22500} \\ x = 150[/tex]