Line AB contains points A (0,0) and B (2, 2). Line CD contains points C (3, 1) and D (5,3).
Lines AB and CD are (5 points)
O parallel
O perpendicular
O neither
In problems 1-3, a and b are legs and c is the hypotenuse. Find the missing side length of the
right triangle. Show work that leads to your answers. Round answers. To the nearest tenth as
needed.
1. a = 11
b =
C = 41
2. a = 2
b= 3
C=
3. a =
b = 9
C = 21
Answer:
1. b=39.497
2. c=3.606
3. a=18.974
Step-by-step explanation:
1.
41^2-11^2=b^2
1681-121=b^2
b^=1560
b=39.497
2.
2^2+3^2=c^2
4+9=c^2
c^2=13
c=3.606
3.
21^2-9^9=a^2
441-81=a^2
a^2=360
a=18.974
There are 82 students going on a field trip. The principal rents
vans, which can each seat II students.
41
Step-by-step explanation:
2 divided by 82 equals 41
give me steps on how to solve this problem please! i’m a junior currently learning Exponential Functions.
Question:
solve 81^x = 27^(x+2)
Answer:
x = 6
Step-by-step explanation:
(hope this helps)
Please help on this answer
Answer:
Step-by-step explanation:
5^2 + 12^2 = x^2
25 + 144 = x^2
169 = x^2
13 = x
answer is C
Answer:
13
Step-by-step explanation:
What is the correct answer?
Answer:
D.
Step-by-step explanation:
They would charge a flat fee of $1000, and $200 per room
What is the lateral surface area of a cone that has a diameter of 7 inches and a slant height of 10 inches? A cone with diameter 7 inches and slant height 10 inches. L A = pi r l 12.25 pi inches squared 17.5 pi inches squared 35 pi inches squared 70 pi inches squared
Answer:
[tex]A=35\pi\ \text{inches}^2[/tex]
Step-by-step explanation:
Given that,
The diameter of a cone, d = 7 inches
Radius, r = 3.5 inches
The slant height of the cone, l = 10 inches
We need to find the lateral surface area of a cone. The formula for the lateral surface area of a cone is given by :
[tex]A=\pi rl[/tex]
Substitute all the values,
[tex]A=\pi\times 3.5\times 10\\\\A=35\pi\ \text{inches}^2[/tex]
So, the lateral surface area of the cone is [tex]35\pi\ \text{inches}^2[/tex].
Answer:
b
Step-by-step explanation: did the test
A scale of the Golden Gate Bridge in San Francisco Bay has
a main span that is 20 inches long. If the main span of the
bridge is 4200 feet long, what is the scale of the model?
Answer: 2520ft
Answer:
2520ft
Step-by-step explanation:
Calculation for what is the scale of the model?
Let x will be the span length
Hence,
x= 4200 feet long/20 inches long
x=210
Thus:
1 inch = 210 ft
1 ft = 2520
=2520ft
Therefore the scale of the model will be 2520ft
i can’t figure this out, help please.
Answer:
put 4 okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Step-by-step explanation:
HELP WORTH 50 POINTS ILL GIVE U BRAINLESS IF UR RIGHT
5.1 x 10^-3 – 1.8 x 10^-3
in scientific notation (evaluate)
Answer:
[tex]3.3*10^{-3}[/tex]
Just like last time, you can convert them to their decimal forms, subtract, and convert back!
Hope this helps!
Brainliest please!
Answer:
3.3*10-3
Step-by-step explanation:
help plz it's not dark blue
Answer:
YELLOW
Step-by-step explanation:
MY TEACHER MADE ME DO THIS LOL
Consider angle θ in Quadrant ll, where cos θ= -12/13. what's the value of sin θ
Answer:
5/13
Step-by-step explanation:
According to SOH CAH TOA
cos theta = adj/hyp = -12/13
Get the opposite using pythagoras theorem
13^2 = (-12)^2 + opp^2
169 = 144 + opp^2
opp^2 = 169-144
opp^2 = 25
opp = 5
Get sin θ
sin θ = opp/hyp
sin θ = 5/13
hence the value of sin θ is 5/13
The half-life of the element radon (Rn86) is 3.8 days. In a sample originally containing 1 gram of radon, the amount of left over days is given by the model () = (0.5)t/3.8 a) How much radon will be present after 7.6 days? b) How much radon will be present after 10 days?
Answer:
a.0.25 g
b.0.16 g
Step-by-step explanation:
We are given that
Half-life of the element radon=3.8 days
Mass of sample of radon=1 g
The amount of radon left after t days is given by
[tex]A(t)=(0.5)^{\frac{t}{3.8}}[/tex]
a.
We have to find the amount of radon left after 7.6 days.
Substitute t=7.6 in the equation
Then, we get
[tex]A(7.6)=(0.5)^{\frac{7.6}{3.8}}[/tex]
[tex]A(7.6)=0.25 g[/tex]
Hence, the amount of radon will be present after 7.6 days=0.25 g
b. We have to find the amount of radon left after 10 days.
Substitute t=10 in the equation
Then, we get
[tex]A(10)=(0.5)^{\frac{10}{3.8}}[/tex]
[tex]A(10)=0.16g[/tex]
Hence, the amount of radon will be present after 10 days=0.16 g
What is the factored form of 15x - 6
Answer:
3(5x - 2)
Step-by-step explanation:
Answer:
3(5−2)
Step-by-step explanation:
The map distance between Toledo and Columbus is 48 millimeters. What is the actual distance? The actual distance is ___ miles. Question 4 d. Cincinnati is about 225 miles from Cleveland. What is the distance between these cities on the map? On the map, the distance is ___ millimeters.
Answer:
The actual distance is 120 miles.
The distance between these cities on the map is 90 millimeters.
Step-by-step explanation:
Consider the figure shown below.
10 mm distance on the map is equal to 25 miles of actual distance.
10 mm = 25 miles
1 mm = 2.5 miles ...(1)
The map distance between Toledo and Columbus is 48 millimeters.
Multiply both the sides of the equation 1 with 48.
48×1 mm = 48×2.5 miles
48 mm = 120 miles
The actual distance is 120 miles.
Cincinnati is about 225 miles from Cleveland.
Divide 225 by 2.5
[tex]\dfrac{225}{2.5}=90[/tex]
Hence, the distance between these cities on the map is 90 millimeters.
what single decimal multiplier would you use to increase by 14% followed by a 1% decrease?
Answer:
1.1286
Step-by-step explanation:
Increasing something by 14% is the same as taking 114% of it, and decreasing it by 1% is the same as taking 99% of it. 114% is 1.14 as a decimal, and 99% is 0.99 as a decimal, so multiplying the two together, we get the single decimal
1.14 · 0.99 = 1.1286
A map has a scale of 5cm: 12km. If the two cities are 17cm apart on the map what is the actual distance between the cities, to the nearest tenth of a kilometer?
Answer:
40.8
Step-by-step explanation:
17cm=17/5x5cm
17/5x12=40 4/5=40.8
Answer:40.8 km
Step-by-step explanation: pretty sure, if it’s wrong I’m sorry
-43x - 121 = 0. Type ONLY THE NUMBER for the answer!!
Answer:
Step-by-step explanation:
The answer is -2.81
Plz mark me brainliest.
may I receive help with number 4
Answer:
The awnser u have for number 4 is correct
PLZ HELP!!!!!!! (20 points)
Which of the sets of ordered pairs represents a function? (4 points)
A = {(−4, 5), (1, −1), (2, −2), (2, 3)}
B = {(2, 2), (3, −2), (9, 3), (9, −3)}
Group of answer choices
Only A
Only B
Both A and B
Neither A nor B
Answer:
Neither A nor B
Step-by-step explanation:
The set of pairs, where the front member of every sequence pair must be unique.
solve the following systems of equations by elimination
- 2x - 5y=-27
- 2x + 3y = 13
Answer:
x= 1
y- 5
Step-by-step explanation:
okay so you know the rules...
we need to eliminate one variable to solve this system so first...
im going to get rid of x first to do so i need to...
multiply any of the equation by negative one to get it to a positive to eliminate
-2x - 5y= -27
( -2x + 3y= 13) -1
-2x -5y= -27
2x -3y= -13 follow the rules of signed integers
we eliminate x and have this left
-5y= -27
-3y= -13 use the second rule of elimination....add the rest up
-8y= -40 divide both sides by -8
y= 5
we arent done yet we need to find the other variable
plug in y to one of the equations like this...
-2x - 5(5)= -27
-2x - 25= -27 add -25 to both sides to get the variable by itself
-2x= -2 divide both sides by -2
x= 1
Hope this helped!
what is the answer
4⁴×4-⁶=?
Answer:
1/16 is the answer
Step-by-step explanation:
Law of indices
pls help!
and a reason.
Answer:
[tex]\angle BDA = 72^{\circ}[/tex]
[tex]\angle DAB = 36^{\circ}[/tex]
[tex]\angle BDC = 108^{\circ}[/tex]
[tex]\angle BCD = 36^{\circ}[/tex]
[tex]\angle DBC = 36^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\angle ABD = 72^{\circ}[/tex]
Required
Determine the missing angles
Since AB = AD, then:
[tex]\angle ABD = \angle BDA[/tex] --- Base angles of an isosceles triangle
Hence:
[tex]\angle ABD = \angle BDA = 72^{\circ}[/tex]
[tex]\angle ABD + \angle BDA + \angle DAB = 180^{\circ}[/tex] --- angles in a triangle
[tex]72^{\circ} + 72^{\circ} + \angle DAB = 180^{\circ}[/tex]
[tex]144^{\circ} + \angle DAB = 180^{\circ}[/tex]
Collect Like Terms
[tex]\angle DAB = 180^{\circ} - 144^{\circ}[/tex]
[tex]\angle DAB = 36^{\circ}[/tex]
[tex]\angle BDA + \angle BDC = 180^{\circ}[/tex] --- angle on a straight line
[tex]72^{\circ} + \angle BDC = 180^{\circ}[/tex]
[tex]\angle BDC = 180^{\circ} - 72^{\circ}[/tex]
[tex]\angle BDC = 108^{\circ}[/tex]
Since ABC is isosceles, then:
[tex]\angle DAB = \angle BCD = 36^{\circ}[/tex] --- base angle of isosceles
[tex]\angle BCD = 36^{\circ}[/tex]
Lastly:
[tex]\angle BCD + \angle BDC + \angle DBC = 180^{\circ}[/tex]
[tex]36^{\circ} + 108^{\circ} + \angle DBC = 180^{\circ}[/tex]
[tex]\angle DBC = 180^{\circ} - 36^{\circ} - 108^{\circ}[/tex]
[tex]\angle DBC = 36^{\circ}[/tex]
See attachment
[tex] \frac{6 }4 \times3\frac{1}{2} [/tex]
Find the product and multiply
Simplify the expression:
(3p − 5)(–6) =
Answer:
− 18 p + 30
Step-by-step explanation:
can someone help:( if c=5, what is the value of 12-c?
A 5
B 7
D 17
C 60
Answer:
The answer is b
Step-by-step explanation:
here you go mate'
step 1
12-c equation
step 2
12-(5) insert 5 to the equation
step 3
12+(-5) subtract the numbers
answer
7
mind if i get brainliest?
Can someone actually help with this not traditional reference angle question please I will give lots of points and will make you Brainliest
Answer:
Step-by-step explanation:
β ∈ { 0° , 18° , 180° , 198° }
Rita wants to place a computer 15ft from her dining table. Can the other two distances are shown be 6ft and 7ft? Identify the answer with the correct explanation.
Answer:
No; The sum of any two lengths is not greater than the third length.
Step-by-step explanation:
A manufacturer of cell phone screens has found that 5 percent of all screens produced have defects. Let pd represent the population proportion of all cell phone screens with a screen defect, therefore pd=0.05. For the sampling distribution of the sample proportion of cell phone screens from this manufacturer with a screen defect for sample size 400, μpˆd=0.05. Which of the following is the best interpretation of μpˆd=0.05 ?
For a randomly selected cell phone screen from this population, the mean number of screen defects for the selected screen will be equal to 0.05.
For a randomly selected cell phone screen from this population, the mean number of screen defects for the selected screen will be equal to 0.05.
A
For every sample of size 400 from this population, the proportion of cell phone screens with a screen defect will be 0.05.
For every sample of size 400 from this population, the proportion of cell phone screens with a screen defect will be 0.05.
B
For all samples of size 400 from this population, the mean number of screen defects for the samples is 0.05.
For all samples of size 400 from this population, the mean number of screen defects for the samples is 0.05.
C
For all samples of size 400 from this population, the mean of all resulting sample proportions of cell phone screens with a screen defect is 0.05.
For all samples of size 400 from this population, the mean of all resulting sample proportions of cell phone screens with a screen defect is 0.05.
D
For all samples of size 400 from this population, the standard deviation of all resulting sample proportions of cell phone screens with a screen defect is 0.05.
Answer:
For all samples of size 400 from this population, the mean of all resulting sample proportions of cell phone screens with a screen defect is 0.05.
Step-by-step explanation:
College Board
Using the Central Limit Theorem, it is found that the correct option is:
C For all samples of size 400 from this population, the mean of all resulting sample proportions of cell phone screens with a screen defect is 0.05.
By the Central Limit Theorem, for a proportion p in a sample of size n, the mean of the sampling distribution of sample proportions is [tex]\mu = p[/tex], while the standard error is [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex
In this problem, the mean of the sampling distribution of sample proportions is 0.05, that is, the mean proportion of all samples, hence, the correct option is C.
A similar problem is given at https://brainly.com/question/16257233
pls help this is urgent!!!
Which of the following is FALSE about the y=sinx graph?
1. The domain is the set of all real values.
2. The y-values are between -1 and 1 inclusive.
O It has a minimum at x = -37pi/2.
3. Its maximum point occurs when y=cscx has a local minimum point.
4. None of the above are false.
Answer:
4. None of the above are false.
Step-by-step explanation: