Answer:
72 degrees
Step-by-step explanation:
A pentagon has five lines of symmetry. For rotation symmetry, the order of any regular polygon is the number of sides. The angle of rotation would be 360 degrees divided by that order. Therefore, the answer is 72 degrees.
Robert works at a car dealership. Each month, he receives a base salary of $1,854.00, plus a commission of $478.00 for each vehicle he sells. Which of the following equations could be used to determine Robert's total income each month? (Let x represent the number of cars sold by Robert and y represent his total monthly income.)
Answer:
y = 478x + 1,854
Step-by-step explanation:
Complete the point-slope equation of the line through (-1,6) and (1,5)
Answer:
y − y1 = m(x − x1)
m = (y2-y1) / (x2-x1) = (5 - 6) / (1 - (-1)) = -1 /2
y - 6 = -1/2 (x - (-1))
y - 6 = -1/2 (x + 1)
y - 6 = -1/2x - 1/2
Step-by-step explanation:
Cuáles de los siguientes experimentos son aleatorios. a) Número de personas que suben a un autobús en una parada. b) Aplicar el teorema de Pitágoras en un triángulo rectángulo. c) Conocer el ganador de la Liga de Campeones. D) Calcular la raíz cuadrada de un número.
Answer:
a) Número de personas que suben a un autobús en una parada.c) Conocer el ganador de la Liga de Campeones.Step-by-step explanation:
This problem is about random experiments.
Random experiments are defined as experiments where the outcome can't be predicted. To ensure that result, the subjects are selected randomly. So, in this case, the right answer must be a situation where subjects are randomly present.
People taking the bus is a random experiment, because there's no the exact subjects in a bus at any time, it happens randomly.
Also, the winner of a sport league is also a random experiment, because it happens after several games which cannot be predicted.
Therefore, the right answers are a and c.
Your macaroni and cheese recipe calls for 1 2/3 cups of milk. You're having company and you need to quadruple the recipe. How much milk will you need?
Answer:
4 2/3
Step-by-step explanation:
For the quadrupled recipe, you will need 6 2/3 cups of milk.
Here, we have,
To quadruple the macaroni and cheese recipe,
we need to multiply the original recipe measurements by 4.
The original recipe calls for 1 2/3 cups of milk.
To find out how much milk is needed for the quadrupled recipe, we can multiply 1 2/3 by 4:
1 2/3 * 4
= (5/3) * 4
= 20/3
= 6 2/3
Therefore, for the quadrupled recipe, you will need 6 2/3 cups of milk.
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A bag of marbles contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marble. What is the probability of
reaching into the bag and selecting a yellow marble?
1/13
2/13
1/6
2/6
Answer:
It would be B.
Step-by-step explanation:
Hope it helpssss
Solve. 2(n - 1) + 4n = 2 ( 3n - 1 ) please help ASAP
Answer:
0
Step-by-step explanation:
2(n - 1) + 4n = 2 ( 3n - 1 )
2n - 2 + 4n = 6n - 2
6n - 2 = 6n - 2
6n - 6n = -2 + 2
0 = 0
area of isosceles triangle
Answer:
You find the base and height then divide by 2
Step-by-step explanation:
Answer:
height x 2 divided by 1/2
Step-by-step explanation:
i think of a number multiply it by 3 and subract 2 . The result is 14
Answer:
5.3
Step-by-step explanation:
Answer:
The answer is 5.3
Step-by-step explanation:
5.3x3-2= 13.9 but when you round its 14
Polygon LMNO is similar to polygon QRST and LM and QR are corresponding sides. You know the perimeter of each polygon, and you know the measure of MN. What can you find
Answer:
I can find that the measure of RS
Step-by-step explanation:
The measure of RS can be discovered as both have corresponding sides. Therefore, both are the same
A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 5?
Write your answer as a fraction in simplest form.
Answer & Step-by-step explanation:
On a six-sided die, there are 4 numbers less than 5. So, we can write this as a fraction.
[tex]\frac{4}{6}[/tex] or we can write this fraction as [tex]\frac{2}{3}[/tex]
So, the probability of rolling a number less than 5 is [tex]\frac{2}{3}[/tex]
Calcula la altura de Juan sabiendo que proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80 metros proyecta una sombra de 2,25 metros.
Answer:
La altura de Juan por lo tanto es de 1.6 metros de altura
Step-by-step explanation:
Segun los datos que se encuentran en el ejercicio, tenemos lo siguiente:
Juan proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80.
Supongamos que x es la altura de juan que tenemos que calcular.
La altura de Juan por lo tanto la podemos calcular de la siguiente manera con la siguiente formula:
x= (1.8 metros/2.25 metros)*2
x=1.6 metros
La altura de Juan por lo tanto es de 1.6 metros de altura
Tan θ =
[tex] \sqrt{13} \div \sqrt{2} [/tex]
Answer:
Step-by-step explanation:
Tan θ = [tex]\sqrt{13} \div \sqrt{2}[/tex] = 2.5495
Therefore θ = [tex]Tan^{-1}[/tex] (2.5495) =68.5832°
Answer:
Tan θ = 2.5495097...
SA police department used a radar gun to measure the speed of a sample of cars on the highway.
Assume that the distribution of speeds is approximately Normal with a mean of 71 mph and a
standard deviation of 8 mph.
Using this distribution what is the z-score of a 65-mph speed limit? *
Answer:
The z score of the 65-mph speed limit is -0.75
Step-by-step explanation:
The z score is given by the relation;
[tex]z = \frac{x- \mu}{\sigma}[/tex]
Where:
Z = Normal (Standard) or z score
x = Observed speed score
μ = Mean, expected speed
σ = Standard deviation
Where we plug in the values for x = 65-mph, σ = 8 mph and μ = 71 mph, into the z-score equation, we get;
[tex]z = \frac{65-71}{8}= \frac{-6}{8} = -\frac{3}{4}[/tex]
Hence the z score of the 65-mph speed limit =-3/4 or -0.75.
A ski run is 1000 yards long with a vertical drop of 208 yards. Find the angle of depression from the top of the ski run to the bottom.
Answer:
angle of depression = -12 degrees
Step-by-step explanation:
Sin = opposite/hypotenuse
sin = -208/1000
inv sin 0.208 = -12
To solve this problem, we just need to use trigonometric ratio and use the ratio that best fits this problem. The angle of depression is equal to 76.23 degrees.
Trigonometric RatioUsing SOHCAHTOA, we can easily solve this problem, but we need to first know which ratio to use
Data;
opposite (ski run) = 1000 yardsadjacent (vertical drop) = 208 yardssince we have the value of opposite and adjacent, we can solve this using the tangent of the angle
[tex]tan\theta = \frac{opposite}{adjacent} \\tan \theta = \frac{1000}{208} \\tan\theta = 4.807\\\theta = sin^-^1 (4.0807)\\\theta = 76.23^0[/tex]
From the calculation above, the angle of depression is equal to 76.23 degrees.
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Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
66 ft^2
Step-by-step explanation:
the formula for the area of a triangle is b x h over 2. the base is 22 and the height is 6. 22 x 6=132. 132/2=66
Find the Area of the Triangle. A = 1/2 (b x h)
Answer:
A=1/2(b×h)
divide a half by 12=6
6×4,since 4 is the height=24
Answer:
30 um²
Step-by-step explanation:
BC = √5² - 4²
= √25 - 16
= √9
= 3 um
AC = 12 + 3 = 15 um
A = AC×BD/2
= 15×4/2
= 15×2
= 30 um²
another 1 will give crown to the correct answer
Answer:
4, know that in a slope-intercept form the coefficient of x is the slope.
Step-by-step explanation:
Answer:
Slope is 4
Step-by-step explanation:
13 POINTS!!!
In ΔABC, c = 4.2 inches, ∠C=24° and ∠A=115°. Find the area of ΔABC, to the nearest 10th of an square inch.
Answer:
12.9 [tex]in^{2}[/tex]
Step-by-step explanation:
So to find the area of this triangle, you will need to use the equation
Area = [tex]\frac{1}{2}[/tex]c*b*sin(A) = [tex]\frac{1}{2}[/tex]a*b*sin(C)
Here, we have ∠A, ∠C, and side c
We can use the fact that [tex]\frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}[/tex] so solve for the other variables we do not have.
First we can find the other angle B. Since ∠A + ∠B + ∠C = 180°,
∠B = 180° - ∠A - ∠C, which is ∠B = 180° - 115° - 24° = 41°
Now that we have all three angles, we can solve for the sides
Since we only have side c, we will manipulate the equation with c and one of the others to solve for a or b. Let's solve for side b first.
Since [tex]\frac{b}{sin(B)} =\frac{c}{sin(C)}[/tex], solving for b would give us [tex]b=\frac{csin(B)}{sin(C)}[/tex]. Then plugging in our values we get [tex]\frac{4.2sin(41)}{sin(24)}[/tex]= 6.77 = b
Now we can solve for the remaining side, a, using the same method.
Since [tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}[/tex], solving for a would give us [tex]a=\frac{bsin(A)}{sin(B)}[/tex]. Then plugging on our values we get [tex]\frac{6.77sin(115)}{sin(41)}[/tex]= 9.36 = a
Now that we have all our angles and sides, we can plug in our numbers to either of our area equations ⇒
Area =[tex]\frac{1}{2}[/tex]c*b*sin(A)= [tex]\frac{1}{2}[/tex](4.2)(6.77)sin(115) = 12.9[tex]in^{2}[/tex] or [tex]\frac{1}{2}[/tex]a*b*sin(C) = [tex]\frac{1}{2}[/tex](9.36)(6.77)sin(24) = 12.9[tex]in^{2}[/tex]
Solve the long division
Answer:
1. 158
2. 120.125
3. 148.6
4. 158.6
Step-by-step explanation:
You divide the number inside by the number outside
A rectangular aquarium that is 3 inches wide, 9 inches long and 12 inches tall. If water is filled up to 9 inches, how much more water can be put in the aquarium to make it full
Answer:
81 inches^3
Step-by-step explanation:
The empty space at the top is
3 inches wide by 9 inches long by (12-9) inches tall
3*9*3 = 81 inches^3
6th question of the day
WHat is the equation for standard equation of circle?
Answer:
Where (h,k) is the center and r is the radius
Step-by-step explanation:
[tex]r^2 = (x-h)^2+ (y-k)^2[/tex]
PLZZ ANSWER CORRECTLYTHIS IS GOING TO BE GRADED!!!!
PLZ WHEN U R DOING THE PROBLEMS,PICK FROM THE CHOICES IT GIVES U!!!!!!
Answer:
That's my best answer.
Step-by-step explanation:
So for number 1 it says the total amount of wrapping paper. You should just find the surface area. I'll send a screenshot.
i need help understanding this
Answer:
x = 6±sqrt( 31)
Step-by-step explanation:
x^2 -12x +5 =0
Subtract 5 from each side
x^2 -12x +5-5=0-5
x^2 -12x = -5
Take the coefficient of x
-12
Divide by 2
-12/2 =-6
Square it
(-6 )^2 = 36
Add this to each side
x^2 -12x +36= -5+36
(x-6)^2 = 31
Take the square root of each side
sqrt((x-6)^2) =±sqrt( 31)
x-6 =±sqrt( 31)
Add 6 to each side
x-6+6 =6±sqrt( 31)
x = 6±sqrt( 31)
i dont know how to do this if someone could show me how and what the answer is
Answer:
It is A because due to the slope it is a parallelogram.
Step-by-step explanation:
Answer:
its a
Step-by-step explanation:
Story: The Escalator Ratio Task: Ty took the escalator to the second floor. The escalator is 12 meters long, and he rode the escalator for 30 seconds. (Things to consider: 60 seconds = 1 minute; 60 minutes = 1 hour; 24 hours = 1 day). Question: True or False? He traveled 2 meters ever 5 seconds. Answer T or F and tell (or show) how you know you are correct.
Answer: True
Step-by-step explanation:
YES, HE TRAVELLED 2 METRES EVERY 5 SECONDS
PROOF:
TOTAL RIDE TIME = 30 SECONDS
Length of elevator = 12 METRES
Distance moved per second can be calculated by = (length of elevator / total ride time)
( 12 METRES / 30 seconds) = 0.4 metres per second
Therefore, distance covered in 5 seconds :
0.4 × 5 = 2 metres.
Hence, the proof
He traveled 2 meters ever 5 seconds
Solve the equation in the image
Answer:
x = 70
Step-by-step explanation:
[tex] \sqrt{x - 6} = 8 \\ squaring \: both \: sides \\ {( \sqrt{x - 6)} }^{2} = {8}^{2} \\ x - 6 = 64 \\ x = 64 + 6 \\ \huge \red{ \boxed{ x = 70 }}\\ [/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{x-6}=8[/tex]
Take square,
[tex](\sqrt{x-6})^{2}=8^{2}\\\\x-6=64\\\\[/tex]
Add 6 to both sides,
x - 6 + 6 = 64+6
x = 70
Mona likes to ski. One lap includes a 4 minute ride up the ski lift and 5 minutes to ski down the hill. How long will it take her to do 5 laps?
Answer:
pretty sure it is 45mins
Step-by-step explanation:
U add 4+5=9 so that is one lap
then take 9*5=45 and that would be 5 laps
Answer:
45
Step-by-step explanation: first we want to find out the time it takes to do one full lap of skiing. in order to do this you have to add 4 to 5. we do this because if we start at the bottom of the hill we have to ride 4 min up to the top then 5 min to get back to the bottom. so in all it will 9 min to do one full lap. because we want to find out how long it will take to do 5 laps we do 9x5=45
What is the area of the parallelogram? A parallelogram with a base of 14 centimeters and a height of 5 centimeters.
Answer:
The answer is 70cm²Step-by-step explanation:
Area of a parallelogram = base × height
From the question
base = 14 cm
height = 5 cm
Substituting the values into the above formula we have
Area = 14 cm × 5 cm
Area = 70cm²Hope this helps you
Answer:
1,750
Step-by-step explanation:
What is the y- intercept of the graph shown that is below
Answer:
B
Step-by-step explanation:
The y- intercept is the point on the y- axis where the line crosses it
This point is y = 2
with coordinates (0, 2 ) → B
The line is crossing the y axis at (0,2)
What is intercept ?The x - intercept is where a line crosses the axis and the y intercept is the point where the line crosses the y - axis .
observing the graph it can be concluded that ,
The line is crossing the y axis where x = 0 and y = 2 , so the point is (0,2)
correct answer is c) (0,2)
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At Subway sandwiches, how many different sandwiches can I make from 3 different types of bread, 5 different types of cheese, and 4 different types of meat?
Answer:
60 sandwiches
Step-by-step explanation:
In this case we must know that for each type of bread, it can be combined with each type of cheese and each type of meat, that is to say that the total amount of combinations would be, the amount of types of bread, for the amount of types of cheese for the amount of types of meat, that is to say:
3*5*4 = 60
That means there are a total of 60 ways to make different sandwiches