A regular pentagon with sides each measuring 6 inches is dilated by a scale factor of 3.1. What is the length of each side of the dilated pentagon?
Answer:
18.6inches
Step-by-step explanation:
Given the length of a side of a pentagon to be 6 inches.
If this length is dilated by a factor of 3.1, the new length will be;
New length = Old length * dilation factor
New length = 6 * 3.1
New length = 18.6inches
Hence the length of each side of the dilated pentagon is 18.6inches
The milligrams of a asprin in a persons body is given by the equation a=500 (3/4)^t where the t is the numbers of hours since the patient took the medicine. How much asprin will be in the patients body after two hours
Answer: 281.25 milligram
Step-by-step explanation:
Given
Milligrams of aspirin left after t hours is given by
[tex]\Rightarrow a=500(\frac{3}{4})^t[/tex]
for [tex]t=2\ hr[/tex]
[tex]\Rightarrow a=500(\frac{3}{4})^2\\\Rightarrow a=500\times (0.75)^2=281.25\ \text{milligram}[/tex]
Can someone help me please?
Answer:
So the answer is 2^-3
Step-by-step explanation:
The principle is the same no matter what the base.
Log_2 (7) + Log_2(3/28) - Log_2(6)
+ means multiply
- means divide
Log_2(7 * 3/28 /6)
Log_2(7/6 * 3/28)
Log_2(1/2 * 1/4) 3 divides into 6 twice. 7 divides into 28 four times
log_2 (1/8)
This is equivalent to 2^(-3)
In the figure find the value of x
Answer:
x=23
Step-by-step explanation:
The angle is 110 degrees, so the angle opposite of that must also be 110 degrees. 110+47=157. 180-157=23.
An emergency room (ER) nurse noticed that there are an unusually high number of motor-vehicle accident injuries in the month of December. She pulled 1000 random ER patient files from December and found that 120 of those patients were admitted due to motor-vehicle injuries. Based on this information, the nurse can estimate that _[blank]_ patients of the total 40,000 ER patients seen in December were admitted due to motor-vehicle injuries.
Enter your answer as the number that correctly fills in the blank in the previous paragraph
4800 patients
Step-by-step explanation:
120 of 1000 means 12%
12% of 40000 is 4800
What is the gcf of 18 and 9?
Answer:
The GCF is 9
Step-by-step explanation:
9=1,3,9
18=1,2,3,6,9,18
who ever knows what 12×75 is I'll give brainliest
Answer:
900
Step-by-step explanation:
Answer:
Answer: 12×75
= 900
Step-by-step explanation:
Hope this helps
Help me please with this question
Answer:
P=152
A=79
Step-by-step explanation:
add all the sides
What is the y-intercept of the line that is perpendicular to y = −3x − 5 and passes through the point (−3, 7)?
NEED BEFORE 11:59 ASAP
Answer:
b=8
Step-by-step explanation:
Perpendicular lines are negative and reciprocal; when you multiply the slopes together, the result is -1.
we are given the line y=-3x-5
we need to find the slope of the new line. To do that, we can use this equation:
-3m=-1
divide by -3 on both sides
m=1/3
so the slope of the perpendicular line is 1/3
We can write our line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, which is what we need
so far our equation is:
y=1/3x+b
we need to find b
we can substitute the point (-3,7) into the equation, since the line will pass through it to solve for b
so:
7=1/3(-3)+b
7=-1+b
8=b
so the y intercept of the line is 8; as a point it's (0,8)
hope this helps!
A horse-drawn carriage travels 47 2\3 kilometers in 4 1\3 hours. At this rate, how many kilometers does it travel per hour?
Please help me with this one
Answer:
70
Step-by-step explanation:
since you are solving for the middle angle, you solve for the average for both angles on the side
(112+28)/2=70
x=70
Hope that helps :)
A student in the sophomore class has an equal chance of being in room 1, 2, 3, 4, or 5 for any of her six classes. What is the probability that she will be in room 3 for at least one class?
a.0.80
b.0.74
c.0.26
d.0.14
Answer:
b might be correct
Step-by-step explanation:
I hope this helps
what's the ratio of suns to planets
Answer:
200 billion to 700 quintillion planets
Step-by-step explanation:
I hope this helps :)
Answer this question to get marked as brainliest!!!!
Answer:
11
Step-by-step explanation:
What is 500 time 200 i konw it do you
Answer:
100,000
Step-by-step explanation:
Solve for x. Round to the nearest hundredth.
Bradley had 25 baseball cards in his collection. He receives x number of baseball cards for his birthday.
Enter an equation that represents the total number of baseball cards, y, Bradley now has in his collection.
Answer:
my friends last name is bradley
Step-by-step explanation:
How do find the area of this figure? Answer ASAP Tysm
Answer:
26
Step-by-step explanation:
6+10+10=26
Answer:
80m²
Step-by-step explanation:
area of rectangle-&10m×6m=60m²
10m-6m=4m
10m×4m=40m²
area of triangle->40m²÷2=20m²
area->60m²+20m²=80m²
At the store, Jan bought 1.25 pounds of roast beef, 2 pounds of ham, and 0.8 pounds of
turkey. How many pounds of deli meat did Jan buy in all?
Answer:
4.05
Step-by-step explanation:
1.25+2+0.8
3.25+0.8
4.05
Answer:
4.05
Step-by-step explanation:
did the math
In a department store a $40 dress is marked save 25%.You also pay a 7% sales tax. What is the sale price of the dress?
Answer:
$32.1
Step-by-step explanation:
First find out what 25% of 40 is:
$40 x .25 = $10
Take the answer and subtract that from the original price:
$40 - $10 = $30
Next, take the sales tax (7% or 0.07) and multiply that by the new price:
$30 x 0.07 = $2.1
Lastly, take the answer and add that to the new price:
$30 + $2.1 = $32.1
Then you would get your answer:
$32.1
A center with 100 children must have a play are how large?
Well-designed child care centers typically have approximately 100 square feet per child of space in the overall center. So for example, a center proposing to serve 80 children would be likely to need a building that has about 8,000 square feet of total space available.
Find the area of the figure.
Which statements describe key features of function f?
Help me please and thank you
Answer:
B
Step-by-step explanation:
You just count the dots and check the tables.
PLEASE HELP!!!! The class was given this problem and asked to solve for "x". Craig says that x = 11/cos(37). Laura disagrees and says that x = 11/sin(53). Who (if anyone) is correct?
Answer:
both
Step-by-step explanation:
they are both correct. sin and cosine are complements (90-x) of each other ( that's where cosine gets its name).
plz help
A line passes through the point (2,1) and has a slope of 7/2 Find
the equation of the line.
Answer:
1/7 and 2/2
Step-by-step explanation:
What is the area of this figure?
Answer:
30 yd²
Step-by-step explanation:
rectangle area = 6 x 4 = 24
triangle area = 1/2 x 3 x 4 = 6
24 + 6 = 30 yd²
also could be figured this way:
area = 1/2(b1 + b2)(h)
1/2(6 + 9)(4) = 30 yd²
Math one question WILL GIVE BRAINLIEST
Answer:
b
Step-by-step explanation:
Dilation reduces or enlarges the size
Translation moves the shape within the quadrant
Rotation about the origin changes the orientation and the location to another quadrant.
Given V = 60 volts of an outlet in a select country, and I= 0.5 amps are being pulled to the 60 watt bulb, solve V = IR in terms of R, and substitute the given quantities.
Answer:
120 ohms
Step-by-step explanation:
Given data
Voltage= 60 volts
Current= 0.5 amps
Power of bulb= 60 watt
We know that from Ohms law
V= IR
Make R subject of the formula
R= V/I
R= 60/0.5
R= 120 ohms
Hence the resistance is 120ohms
Name the multiplication property shown the equation 12 • m = m • 12.
A.Commutative B.Associative
C.Identity D. Distributive
Answer:
a. commutative
Step-by-step explanation:
rearranging of elements in an equation