Answer:
5026.55in²
Step-by-step explanation:
Area = πr^2
radius (r) is half of the diameter, hence the radius is 40 inches
So after plugging that in, the equation should look like
Area = π(40)^2
A = 1600π ≈ 5026.55
The units for this is in² so just add that in the end
Angel is making a scale model of his favorite truck. The actual truck is 12 feet long and 4 feet wide. Angel wants his model to be 15 feet in length. What would be the width of his model?
Answer:
the answer is 5ft wide
Step-by-step explanation:
Hope this helps!
The measure of angle A is equal to x degrees. The measure of angle B is equal to 95 degrees. Angles A and B are supplementary. Find m angle A
Answer:
95°
Step-by-step explanation:
Since both angles are supplementary, they have the same degree.
If angle B = 95°, angle A is also = 95°
Write an equation in POINT-SLOPE
form that goes through the point (1,11)
and is PERPENDICULAR to y=-1/7x+1
(TYPE IN YOUR ANSWER WITH NO
SPACES). UPLOAD YOUR WORK.
point -slopeform:y-y=m(x-x1)
slope-intercept for:y=mx+b
*
Answer:
y-1=7(x-0)
Step-by-step explanation:
The line perpendicular to y=-1/7+1 is y=7+1 because you find the reciprocal of the slope.
Then find one point on the line since the equation has a y intercept just use (0,1) and put that into point slope
In the equation y=2x+3,y represents the total number of preseason and regular season games that your softball team played this summer. The variable x represents the number of weeks in the regular season. Which statement is true?
Answer:
C. Your team plays 3 preseason games.
Step-by-step explanation:
In the equation y = 2x + 3, y represents the total number of preseason and regular season games that your softball team played this summer. The variable x represents the number of weeks in the regular season. Which statement is true?
A. The regular season lasts 2 weeks.
B. The preseason lasts 2 weeks.
C. Your team plays 3 preseason games.
D. Your team plays 3 regular season games each week.
Solution:
The equation for a linear function is given as:
y = mx + b;
where m is the rate of change and b is the y intercept (that is initial value of y at x = 0), y and x are variables.
Given that y = 2x + 3;
The slope (m) = 2 and the y intercept (b) = 3
This slope means 2 games are played every week during the regular season games. The y intercept means that at before the regular games have start, 3 games have been played. Therefore, the team plays 3 preseason games.
can u help with it plz I really need help
Answer:
let angle e be x
x+4x+10=180°[by linear pair]
5x+10=180°
5x=180-10
5x=170
x=170/5
x=34
angle E=34°
angle E+angle C+angle D=180°[by angle sum property]
34°+70°+2x=180°
104°+2x=180°
2x=180°-104
2x=76°
angle d=76°
How many lines of symmetry does this rectangle have
PLEASE HELP I'LL GIVE OUT EXTRA POINTS TO THOSE WHO ANSWER CORRECTLY
2. Is this number in scientific notation? Why or why not? If not, write in the correct format.
0.34 x 108
Please and thank you <3
Executives from Six Flags, a well-known amusement park chain, had interest in constructing a Six Flags theme park in a location near Ames city limits. Experts believed that approximately 15% of the surrounding population would be interested in becoming season ticket holders. A random sample of 500 residents of Story County was collected (of the approximately 80,000 residents of Story County). Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames. Select the best description of the sample.
Answer:
Random sample of 500 residents of Story County
Step-by-step explanation:
SAMPLE can be defined as the process in which some group of people are randomly selected from a large population for the sole aim of carrying out statistical analysis that will represent the whole population at large instead of carryingout the SAMPLE on each person.
Therefore based on the information given the best description of the SAMPLE will be the 500 RESIDENT OF STORY COUNTY reason been that we were told that a random SAMPLE of the 500 residents of Story County were collected which in turn represent 80,000 of the residents of Story County at large.
I need help with a achieve 3000 a presidents jobs
Answer:
Answer is in the photo. I can only upload it to a file hosting service. link below!
is.gd/qKzpBU
Veronica is an English tutor. She charges $60 for each tutoring session plus $0.75 per mile that she has to drive to and from the session. Write an equation to represent this situation. Explain how you got your equation.
Answer:[tex]60+0.75x[/tex]
Step-by-step explanation:
Given
Veronica charges $60 for each tutoring session
Also, there is an additional charge of $0.75 per mile
Suppose she drive x miles and the total cost is represented by C
the additional cost of driving is [tex]0.75\times x=0.75x[/tex]
[tex]\therefore[/tex] The total cost for the session will be the sum of fixed cost and variable driving cost
[tex]\Rightarrow C=60+0.75x[/tex]
Combine like terms to create an equivalent expression.
Make sure to simplify coefficients and constants as well.
-\dfrac65-\dfrac23v+\dfrac{4}{15}+\dfrac13v−
5
6
−
3
2
v+
15
4
+
3
1
v
Answer is in the file below
tinyurl.com/wpazsebu
Your Welcome!!!!
The answer is in the picture!!!! :3
A 12.5-foot ladder is leaning against the side of a house. If the ladder is resting 12 feet off the ground, how far is the ladder from the house?
A. 2 feet
B. 3.5 feet
C. 6.25 feet
D. 7 feet
Answer:
B. 3.5 feet
Step-by-step explanation:
The part leaning against the wall is the hypotenuse while the height of the ladder off the ground is the opposite and the distance of the ladder from the house is the adjacent side.
Given the following data;
Hypotenuse = 12.5 ft
Opposite = 12 ft
To find the adjacent side, we would use the Pythagorean theorem;
Hypotenuse² = opposite² + adjacent²
Substituting into the formula, we have;
12.5² = 12² + adjacent²
156.25 = 144 + adjacent²
Adjacent² = 156.25 - 144
Adjacent² = 12.25
Taking the square root of both sides, we have;
Adjacent = 3.5 feet.
Therefore, the distance of the ladder from the house is 3.5 feet.
express y= x² + 2x + 3 in the form of y= (x-h)² + k
Given:
The equation is
[tex]y=x^2+2x+3[/tex]
To find:
The vertex form of the given equation, i.e., [tex]y=x^2+2x+3[/tex].
Solution:
We have,
[tex]y=x^2+2x+3[/tex]
It can be written as
[tex]y=(x^2+2x)+3[/tex]
Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{2}{2}\right)^2=1[/tex].
[tex]y=(x^2+2x+1)-1+3[/tex]
[tex]y=(x^2+2(x)(1)+1^2)+2[/tex]
[tex]y=(x+1)^2+2[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
Therefore, the required form of given function is [tex]y=(x+1)^2+2[/tex].
Please
Please
Please
Answer:
Step-by-step explanation:
∠BEF = ∠CFE {Alternate interior angles}
5x - 10 = 4x + 20 {Subtract 4x from both sides}
5x - 4x - 10 = 20
x - 10 = 20 {Add 10 to both sides}
x = 20 +10
x = 30°
HEP PLSSS
Given f(x)=3x2+4x and g(x)=2x2−x+1.
What is (f+g)(x)?
5x2+3x+1
−x2−5x−1
6x2−4x+1
x2+5x−1
Help please!
find the area of the shaded region. round to the nearest hundredths if necessary.
You can answer just 1 of them and thats fine but id really appreciate if all could get answered!
Answer:
b. 84.612cm
c. 314.15cm
d. 5cm
Step-by-step explanation:
b. solve for both triangles and height of rectangle using Sin
c. pi(r)h 3.1415(10)(10)
d. 3*3-2*2=5
Rick is currently 72 inches tall. He wants to compare himself to his friend who is 5 feet and 11 inches tall. How many inches taller is Rick than his friend?
Answer:
1 inch
Step-by-step explanation:
We would have to convert rick's friends height to inches
1 feet = 12 inches
Friend's height = (12 x 5) + 11 = 71 inches
Difference in height = 72 - 71 = 1
Decrease 20g by 12.5%
Step-by-step explanation:
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Answer:
17.5 g
Step-by-step explanation:
20 g is 100% then a decrease of 12.5% is
100% - 12.5% = 87.5% = [tex]\frac{87.5}{100}[/tex] = 0.875 , then
20g × 0.875 = 17.5 g
What is the correct i need help
Plz
The magnitude of vector a = (5,m) is 13 and the magnitude of vector b = (n, 24) is 25. What are m and n
Answer:
[tex]m=12\,,n=7[/tex]
Step-by-step explanation:
The magnitude of vector [tex](x,y)[/tex] is given by [tex]\sqrt{x^2+y^2}[/tex]
The magnitude of vector [tex]a=(5,m)[/tex] is [tex]13[/tex].
[tex]\sqrt{5^2+m^2}=13\\5^2+m^2=13^2\\25+m^2=169\\m^2=169-25\\m^2=144\\m=12[/tex]
The magnitude of vector [tex]b=(n,24)[/tex] is [tex]25[/tex].
[tex]\sqrt{n^2+24^2}=25\\n^2+24^2=25^2\\n^2+576=625\\n^2=625-576\\n^2=49\\n=7[/tex]
Therefore,
[tex]m=12\,,n=7[/tex]
6a-4b when a=5 and b=3
Answer:
18
Step-by-step explanation:
Answer:
Use substitution to receive: 18
Step-by-step explanation:
6a - 4b when a = 5 and b = 3
6(5) - 4(3)
30 - 12 = 18
Pets In a group of 150 people, each person has Complete the table.
a dog, a cat, or a bird. The frequency table
shows how many people have each kind of pet. Total Relative Frequency
Complete a relative frequency table to show the
Table
distribution of the data with respect to all
Pets Men Women Total
150 people.
% % %
Cat % % %
Frequency Table
Pets Men Women Total
Bird % % %
Dog 30 38 68
Total % % 100%
Cat 30 19 49
(Round to the nearest tenth as needed.)
Bird 17 16 33
Total 77 73 150
Explanation is in the file
tinyurl.com/wpazsebu
What’s the answer to this?
Answer:
<D is congruent to <B
Step-by-step explanation:
They both have the 3 lines indicated on them
Go to my question that says “ What’s the area of the triangle??” please help me
Answer:
Ok I'll help
Step-by-step explanation:
Your dinner bill at Best Little Roadhouse was $68.24. You left the server an 18% tip. What was your final total bill including tip and How much of a tip did you leave the server
Answer:
The total would be $80.52. The tip was $12.28
Step-by-step explanation:
18% of 68.24 is 12.2832. I just rounded and called it 12.28. From there I just added it to 68.24 and got 80.52.
Please help I have no idea how to answer this question
Answer:
n = 3
Step-by-step explanation:
plug in 3 for n in the equation:
Numerator: n + 1 = 3 + 1 = 4
Denominator: 2^n = 2^3 = 2 * 2 * 2 = 4 * 2 = 8
Simplify the fraction. Divide common factors from both the numerator and denominator:
(4/8)/(4/4) = 1/2
1/2 = 1/2 ∴ n = 3
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I need help!! 100 points! Please don't scam, I will report and take away these points!
Answer:
A angle 7 is 6 inches
B angle 8 is 7 inches and 5 inches wide
C angle 3 is an obtuse angle, 6 inches and 9 inches wide
HELP WITH QUESTION 1 PLEASE! I’ll give you brilliance
Answer:
Step-by-step explanation:
A is 10
B is 13
C is [tex]\sqrt{43.65}[/tex]
D is [tex]\sqrt{74}[/tex]
Help I only have about 25 minutes left to finish this. I risk failing if I don't get this answered. I have 4 more questions after this. HELP PLZ. This is Slope Intercept form still. I will award 100 pts again
Answer:
y = 6x - 20
Step-by-step explanation:
Perpendicular slope = 6
(3, -2)
y - y1 = m(x - x1)
y + 2 = 6(x - 3)
y + 2 = 6x - 18
y = 6x - 20
Answer:
Solution given:
equation of a line is:
y=-⅛x+4.......[1]
Comparing above equation with y=mx+c
we get
slope [m]=-⅛
let slope of another line is M
since the Lines are perpendicular
so m ×M=-1
we get
M=8
again
the another line passes through(x1,y1) (3,-2)
Equation of another line becomes:
(y-y1)=m2(x-x1)
(y+2)=8(x-3)
y+2=8x-24
8x-y=24+2
8x-y=26
[tex] \frac{8x}{26} - \frac{y}{26} = 1[/tex]
[tex] \frac{4x}{13} - \frac{y}{26} = 1[/tex]
is a required equation of a line in slope intercept form.
A right triangle has one leg of length y and hypotenuse of length x. What is the length of the other leg of this triangle
a x+y−−−−√
b x2+y2−−−−−−√
c x−y−−−−√
d x2−y2−−−−−−√
Answer:
Step-by-step explanation:
