Answers
Answer:
About 292.72
Step-by-step explanation:
We can imagine a circle circumscribed around the triangle, then solve it as we normally do using the apothem. By dividing 360 by the number of sides (3) we know that the central angle constructed by the apothem and radiuses would be 120. Divided by 2 (because we are using a right triangle to solve it) is 60. Now with this you can either use trig ratios (sin, cos, or tan) or use special right triangles (30-60-90 or 45-45-90). I used special rights. With this I know my apothem is [tex]\frac{13\sqrt{3} }{3}[/tex]. Perimeter is 26 times 3 which is 78. The formula for area of regular polygons is 1/2(perimeter times apothem). When we plug our values in the answer is about 292.72. You are lucky that I just had my test on this, I hope it helps.
Here is my work since this is very visual for me:
Related Questions
part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. NO LINKS!!!
Answers
9514 1404 393
Answer:
4) ΔEFG ~ ΔECD
6) Not Similar
Step-by-step explanation:
4) Shortest to longest sides are ...
EF : FG : GE = 14 : 16 : 20 = 7 : 8 : 10 (reduced)
EC : CD : DE = 7 : 8 : 10
The triangles have the same side length ratios, so are similar.
ΔEFT ~ ΔECD
__
6) Shortest to longest, the given sides have ratios ...
UT : TV = 71 : 84 (reduced)
GT : TH = 60 : 72 = 5 : 6 (reduced)
The side ratios are different, so the triangles are NOT SIMILAR.
Answer:
part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. NO LINKS!!!
Bella invested $8,400 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $9890?
Answers
Answer:
8.6 years
Step-by-step explanation:
A local pizza shop has a membership program for frequent buyers. The membership costs $5 per month and members get a discounted price of $2 per slice of pizza. Aisha purchased a membership to this pizza shop. How much would Aisha have to pay the pizza shop if she bought 8 slices of pizza this month? What would be the monthly cost for
x slices of pizza?
Answers
Answer:
Aisha would pay 21 dollars for 8 slices.
Equation 2x(x=number of slices)+5
Step-by-step explanation:
Express tan(-310°) as a function of a positive acute angle in
terms of tan x
Answers
guessing
360 - 310 = 50
-tan(50)
State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each one. (you may go either direction). NO LINKS!!! Part 1
Answers
9514 1404 393
Answer:
ΔLMN ~ ΔLFG; scale factor 7/3
Step-by-step explanation:
The ratios of side lengths, shortest to longest are ...
FG : GL : LF = 24 : 36 : 42 = 4 : 6 : 7 (reduced)
MN : NL : LM = 56 : 84 : 98 = 4 : 6 : 7 (reduced)
The side ratios are the same, so ΔLMN ~ ΔLFG. The scale factor is ...
MN/FG = 56/24 = 7/3
Answer:
State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each one. (you may go either direction). NO LINKS!!! Part 1
The original price of a pair of shoes is $60. The sale price is 25% off the original price. What is the amount off of
the original price?
Answers
Or it will be $45 off
The function f(x) = 9x +5 is one-to-one.
Find an equation for f-'(x), the inverse function.
Answers
Answer:
The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]
Step-by-step explanation:
Inverse function:
Suppose we have a one-to-one function y = f(x). To find it's inverse, we exchange y and x, and then isolate y.
In this question:
[tex]y = 9x + 5[/tex]
Exchanging x and y:
[tex]x = 9y + 5[/tex]
Isolating y:
[tex]9y = x - 5[/tex]
[tex]y = \frac{x - 5}{9}[/tex]
[tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]
The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]
A dog runs 100 yards from one corner of a rectangular park to the opposite corner. If the length of the park is 28 yards, what is the width?
Answers
9514 1404 393
Answer:
96 yards
Step-by-step explanation:
The diagonal through the park cuts the rectangle into two right triangles. The Pythagorean theorem tells you the relationship between the sides of a right triangle and its hypotenuse: the sum of the squares of the sides is equal to the square of the hypotenuse.
The diagonal is the hypotenuse, so we have ...
100² = 28² + w²
w = √(10000 -784) = 96
The width of the park is 96 yards.
_____
Additional comment
The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).
You may notice that the numbers here are those of the (7, 24, 25) Pythagorean triple, multiplied by 4. If you recognize the given lengths as having the ratio 28:100 = 7:25, you have the clue you need to determine the answer simply from your knowledge of Pythagorean triples.
Shreman drew a shape with these properties: •Four sides •Four right angles •Two sides have different lengths
Answers
Answer: the shape is a rectangle
Step-by-step explanation:
Answer:
Rectangle :)
Step-by-step explanation:
Round to the nearest tenth
Answers
Answer:
22.5
Step-by-step explanation:
13 square root 3 equals that
Nolan wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5\6 ft by 2 1\3 ft. Find the area the carpet needs to cover.
Answers
Answer:
11 5/18 ft squared
Step-by-step explanation:
because the floor is probably a rectangle, we can use the area formula to find the area of the carpet. the formula is
A = Length × Width
so now we plug in the numbers.
A = (4 5/6) × (2 1/3)
I'm going to simplify the numbers into an improper fraction because the numbers are in a mixed fraction format and I simply dislike it.
A = (29/6) × (7/3)
A = 203/18 ft squared
In the answer section, the numbers look different because I converted my 203/18 into a mixed number.
A = 203/18 = 11 5/18 ft squared
If f(x)=1−x^2 +x^3 , then f(−1)=
Answers
Answer:
f(-1) = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 1 - x² + x³
f(-1) is x = -1 for the function f(x)
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-1) = 1 - (-1)² + (-1)³Exponents: f(-1) = 1 - 1 - 1Subtract: f(-1) = -1Function Composition:
Let the function [tex]f(x)= 3+6x[/tex] , determine:
Answers
Answer:
Given
f(x) = 3 + 6xA
Find the inverse of f(x):
x = 3 + 6f⁻¹(x)6f⁻¹(x) = x - 3f⁻¹(x) = (x - 3) / 6B
f · f⁻¹( ∛5/6) = f( f⁻¹( ∛5/6)) = f((∛5/6 - 3)/6) = 3 + 6((∛5/6 - 3)/6) =3 + ∛5/6 - 3 =∛5/6C
f · f⁻¹(x) = f(f⁻¹(x)) = f((x - 3)/6) = 3 + 6(x - 3)/6 = 3 + x - 3 = xNeed some help with this soon!
Answers
Answer:
f(x)=|x+6|
Step-by-step explanation:
because it is moving the function without changing the slope
find the surface area of each figure (spheres and hemispheres)
Answers
Answer:
7. 1520.53 cm²
8. 232.35 ft²
9. 706.86 m²
10. 4,156.32 mm²
11. 780.46 m²
12. 1,847.25 mi²
Step-by-step explanation:
Recall:
Surface area of sphere = 4πr²
Surface area of hemisphere = 2πr² + πr²
7. r = 11 cm
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)
8. r = ½(8.6) = 4.3 ft
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)
9. r = ½(15) = 7.5 m
Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)
10. r = ½(42) = 21 mm
Plug in the value into the formula
Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44
= 4,156.32 mm²
11. r = 9.1 m
Plug in the value into the formula
Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15
= 780.46 m²
12. r = 14 mi
Plug in the value into the formula
Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75
= 1,847.25 mi²
Ryan bought a new phone case that was originally $80, it is now on sale for $60. What was the percentage change?
Answers
Answer: 25% decrease
Step-by-step explanation:
80 - 60
----------- = 20/80 = 1/4 OR 25%
80
Hope this helped :)
Find the volume
Show work
Answers
Sir there seems to be a picture in your pixels.
i would assume the measurements (from left to right) is 34m 14m 20m and 14m
find the area of the triangle so split the 24 in half 12 and 12
then multiply 12*14 which is 168
i would assume the area is 168m^2
then multiply by 20m
3360m ^3
An angle turns through 1/360 of a circle. what is the measure, in degrees, of the angle. I really need help with this please.
Answers
Answer:
1 degree
Step-by-step explanation:
because a circle is 360 degrees
Abby scored 87, 93, 96, and 89 on her first four history quizzes. What score does
Abby need to get on her fifth quiz to have an average of exactly 91 on her history
quizzes?
Answers
Answer:
73
Explanation
To find the average we need to find the mean. So you have
87,93,96, and 89. Add it up and you get 365. Next you have to divide it by how many numbers there are, so 365 divided by 5 and you get 73.
(I divided 365 by 5 because we are looking for the score she needs on the 5th quiz too.)
Add or subtract. Th S. 29 + 46
Answers
Answer:
Add I think
If there is a plus sign shouldnt it be adding
please helpp me with this assignment
Answers
2^-4 = 1/16
5^-2 = 1/25
2^5 = 32
Which graph represents the given equation?
y = :2 + 41 - 2
O. A.
N
X
2
N
-21
B.
ܢܬ
#
2
-21
N
+21
C.
Answers
9514 1404 393
Answer:
A
Step-by-step explanation:
The axis of symmetry of quadratic ax²+bx+c is x=-b/(2a). For the given equation, the axis of symmetry is ...
x = -4/(2(3/2)) = -4/3
The only graph with its vertex at x=-4/3 is graph A.
_____
Additional comment
You can also make the correct choice by evaluating the equation at a couple of different values of x. Convenient ones are x= -1, or 0, or +1. The value at x=0 is the y-intercept, (0, -2), which seems to be a point on all of the graphs. The value at x=1 is 3/2+4-2 = 3.5, which looks like it is only seen on graph A.
Find two numbers a and b whose sum a+b is -3 and whose difference a−b is -5
Answers
Answer:
A=-4, b=1
Step-by-step explanation:
add those two function together u will got:
a+b+(a-b)=-3+(-5)
2a=-8
A=-4
-4+b=-3
B=1
please help !! i’ll give 5 stars if help.
Answers
Answer:
true
Step-by-step explanation:
there are two x-intercepts
Please Help Me!
*Question Is Below Here*
Answers
Answer:
21
Step-by-step explanation:
2^3=8
7x6=42
42x8=336
336/ (10.6+5.4)
336/ 16= 21
Answer 21
Again, suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of 24. You then compute the sample mean x-bar for each sample. From the long list of sample means, you create the sampling distribution of the sample mean, assigning probabilities to all possible values of x-bar. What value should you show at the center of the distribution
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\bar{x}=650\\\\\sigma =24\\\\n=36\\\\[/tex]
Calculating the sampling distribution of the sample mean:
[tex]\to \mu=\mu_\bar{x}=650[/tex]
Calculating the sampling distribution of the standard deviation:
[tex]\to \sigma_\bar{x}=\frac{\sigma}{\sqrt{n}}=\frac{24}{\sqrt{36}}=\frac{24}{6}=4[/tex]
The ages of undergraduate students in a state in a particular year approximately follows a normal distribution, with a mean
age of 20.6 years and a standard deviation of 1.3 years.
If the total number of undergraduate students in the state is 430,000, how many students are aged 19 years or more?
A)
123,000
B)
223,000
C)
313,000
D)
383,000
Answers
whats 2+2 i dont know the answer .......................
Answers
Answer:
4
Step-by-step explanation:
Two cooies plus two cookies is four cookies.
two plus two equal 4
Ty
How many tryouts weighed MORE THAN 450 grams?
Answers
Answer:
11
Step-by-step explanation:
Basically count each doubt that is on the number line with a value greater than 450
Answer:
11 trouts
Step-by-step explanation:
Count the dots that are after the 450-gram mark.
Trouts that weigh 452 = 5
Trouts that weigh 454 = 2
Trouts that weigh 456 = 2
Trouts that weigh 458 = 1
Trouts that weigh 460 = 1
Then, add everything up.
5 + 2 + 2 + 1 + 1 = 11
So, 11 trouts weigh more than 450 grams.
Have a wonderful day!
Dominic's car used 8 gallons to travel 192 miles. At what rate does the car use gas, in
miles per gallon?
Answers
Answer:
24 miles per gallon
Step-by-step explanation:
to find the unit rate you divide 192 by 8 and that is 24
so it takes Dominic 1 gallon to drive 24 miles
hope this helps!