Answer:
The radius of its base is 6 inches
Step-by-step explanation:
The radius of the base of a cone r , the slant height of the cone l and the height of the cone h forms a right triangle, with the slant height being the hypotenuse of the right triangle
Mathematically, since we have a right triangle, we can find the radius of the base by the use of Pythagoras’ theorem
According to Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus,
l^2 = r^2 + h^2
l = 10 inches
r = ?
h = 8 inches
10^2 = r^2 + 8^2
100 = r^2 + 64
r^2 = 100-64
r^2 = 36
r = √(36)
r = 6 inches
The seagull population on a small island in the Atlantic Ocean can be calculated using the formula
P(t) = 5.3/11/?, where P is the population in hundred thousands, and t is in years. What will the seagull
population on the island be after 5 years? (Round to the nearest tenth.)
a. about 41.6 hundred thousand
c. about 172.4 hundred thousand
about 3.7 x 10' hundred thousand d. about 66.5 hundred thousand
The correct relation for the sea gull population is: P(t) = 5.3t^(11/7)
Answer:
d. about 66.5 hundred thousand
Step-by-step explanation:
Given that :
P(t) = 5.3t^(11/7)
Population, P is in hujdred thousand ; t = number of years
Population after 5 years ;
t = 5
P(5) = 5.3 * 5^(11/7)
P(5) = 5.3 * 5^1.5714285
P(5) = 5.3 * 12.542422
P(5) = 66.474840
P(5) = 66.5 (approximately)
Hence, population after 5 years will be about 66.5 hundred thousand.
PLEASE HELP ASAP
Find the surface area and the volume of the prism.
Answer:
Surface Area: 1320
Volume: 2160
Step-by-step explanation:
Before calculating Volume and Surface Area, we need to calculate the missing side of the right triangle using the Pythagoreon theorem: [tex]a^2+b^2=c^2[/tex]
where c is the hypotenuse, 26.
Substituting the values into the equation you get:
10^2 + b^2 = 26^2
100 +b^2 = 676
Subtract 100 from both sides.
b^2 = 576
b = 24
Now that we have the missing side, we can calculate the rest of the question.
Surface Area = 2([tex]\frac{1}2[/tex] × 24 × 10) + (18 × 26) + (18 × 24) +(18 × 10)
240 + 468 + 432 + 180 = 1320 unit^2
Volume = [tex]\frac{1}2[/tex] × base × height × length
[tex]\frac{1}2[/tex] × 24 × 10 × 18 = 2160 unit^2
Brainliest if you don't mind ;)
Classify this triangle by its sides and angles.
Answer:
choice 3) acute and equilateral
Step-by-step explanation:
Marina picked X apples in Orchard she and her friends 86 then leaving 36 Apples The number of apples can be represented by the equation X -6 equals 36 plot a point on the number line to represent X
Answer:
[tex]x = 42[/tex]
See attachment for number line (see that the dot is on 42)
Step-by-step explanation:
Given
[tex]x - 6 = 36[/tex]
Required
Plot x on a number line
First, we solve for x
[tex]x - 6 = 36[/tex]
Add 6 to both sides
[tex]x - 6 +6= 36+6[/tex]
[tex]x = 42[/tex]
See attachment for number line
Fiona is seven years less than twice the age of Carlos. The combined age of
Fiona and Carlos is 53 years.
Which of the following systems of equations represents the situation?
A.F= 2C – 7
C+F = 53
B.C= 2F - 7
C + F = 53
C.F = 53 – 7
C + F = 2C
How old is fiona and how old is Carlos
What is the area of these trapezoid
Answer:
1. 54ft squared 2. 48 cm squared
Step-by-step explanation:
8. Mystery Number: a number is multiplied by 5. The product is then added to 11. The square root of that sum is equal to 9. Find the number. Show your work or steps.
Answer:
14
Step-by-step explanation:
14x5=70
70+11=81
√81=9
In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.
Answer:
A
Step-by-step explanation:
A triangle has 180 degrees.
So, 10 + 145 + x = 180
x = 25
This means that the angles in the triangle are:
10, 145, and 25
Using this information, only A has the same values so it is the answer
Write an equivalent expression for 3(2x + 4y).
Answer:
6x+12y
Step-by-step explanation:
I hope this helps, and STAYYY!!!!!! Fresh!
Help meeee no Decimal answers.
Answer: 1,145,375cm^3
Step-by-step explanation:
Answer: Answer in photo below.
Hope this helps!
help?? lols ,,
will mark brainliest, i guess
Answer:
-80x + 28y - 56
4(-20x + 7y - 14)
What fractions that are less than 3/5
Answer:
1/8 and 1/12
Step-by-step explanation:
Can anybody help me with this problem?
Answer:
$830
Step-by-step explanation:
x/2=200+215
x/2=415 multiply by two on both sides to get x alone
x=830
Explain why each statement is true. 5 + 2 + 3 = 5 + (2 + 3)
Answer:
Associative property of addition. Grouping different addends does not change the sum.
Step-by-step explanation:
5 + 2 + 3 = 5 + (2 + 3)
10 = 5 + (5)
10 = 10
HELP ME PLEASE ............................
ticket to the school play cost $9 for adults and $6 for students. The Smith Family bought 4 adult tickets and 5 student tickets. The Jones family bought 3 adult tickets and 7 student tickets. What was the difference in the amount spent by the two families?
Answer:
Difference is $3
Step-by-step explanation:
The Jones Family bought 3 adult tickets and 7 student tickets, so they spent 27+42=$69 spent.
The Smith Family bought 4 adult tickets and 5 student tickets, so they spent 36+30=$66 spent.
The difference between them is 69-66=$3.
So, the difference between how much the two families spent is $3.
Answer:
3$
Step-by-step explanation:
Smith family:
9x4=36
5x6=30
total=66$
Jones family:
3x9=27
7x6=42
total=69$
difference=3$
please help, thank you!
Answer:
Triangle OBA is a right angled triangle since a radius meets a tangent at an angle of 90°..So use pythogrus theorem to find the radius.
2) Find the slope of the line
For a function,x cannot what?
a) be zero
b)repeat
c)multiply
d) even
Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).
Answer:
5⁶
Step-by-step explanation:
We have
[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]
-x^2+6x-5=f(x)
find the vertex and x/y intercepts
A grocery store recently sold 10 cans of soup, 5 of which were lentil soup. What is the experimental probability that the next can sold will be lentil soup?
Write your answer as a fraction or whole number.
plz halp me
Answer: the answer is 1/2
Step-by-step explanation: I just got the answer form IXL
Answer:
1/2 is the answer
Step-by-step explanation:
1/2
Solve for s -5s=−13 .
Answer:
13/4
Step-by-step explanation:
for these types of problems i recommend symbolab
HELP ASAP!!!! Rosa has 4 1/2 pounds of pizza dough. She uses 3/4 of a pound for one pizza. How many pizzas could be made from Rosa's dough?
Answer:
6
Step-by-step explanation:
3/4
1 1/2
2 1/4
3
3 3/4
4 1/2
Sorry if this doesn't make sense, I hope I helped though!
On the map below, 1⁄4 inch represents one
mile. Candler, Canton, and Oteen are three
cities on the map.
If Candler and Oteen are 3 1⁄2 inches apart
on the map, what is the actual distance
between Candler and Oteen in miles?
Step-by-step explanation:
On Tuesday the cafeteria sold pizza slices and burritos. The number of pizza slices sold was 20 less than twice the
number of burritos sold. Pizza sold for $2.50 a slice and burritos sold for $3.00 each. The cafeteria collected a total of
$358 for selling these two items. Homework Help
a. Write two equations with two variables to represent the information in this problem. Be sure to define your
variables by writing let statements.
b. Solve your system from part (a). Then determine how many pizza slices were sold.
Answer:
82
Yes, that is the answer. Try it and you'll get it correct, I think...
Please help if you know the answer please
El largo de una casa es el triple de su ancho. Si a la longitud se suma 40 metros y al ancho 1 metro, el área se triplica
Answer:
el ancho es de 8 metros y el largo es 3 * 8 = 24 metros
width is 8 meters and length is 3*8= 24 meters
Step-by-step explanation:
Spanish
Si el ancho de la casa de la casa es x, entonces el largo de la casa es 3x.
Entonces el área = largo * ancho
área = 3x * x = 3x²
3 multiplicado por área = 9x²
9x² = (3x + 40) (x + 1)
9x² = 3x² + 3x + 40x +40
9x² = 3x² + 43x +40
0 = -6x² + 43x +40
0 = 6x²- 43x - 40
6x²- 43x - 40 = 0
Usando ecuación cuadrática
a = 6, b = -43, c- = -40
x = - b ± √b²- 4ac / 2a
x = 43 ± √1849- 4 (6) (- 40) / 12
x = 43 ± √1849 + 960/12
x = 43 ± 53/12
x = 43+ 53/12 y x = 43-53 / 12
x = 96/12 y x = -10/12
x = 8 y x = - 5/6
Ignorando el valor negativo x = 8 el ancho es de 8 metros y el largo es 3 * 8 = 24 metros
English
The length of a house is three times its width. If 40 meters are added to the length and 1 meter to the width, the area is tripled
If the width of the house of the house is x then the length of the house is 3x.
Then the area = length * breadth
area= 3x*x= 3x²
3 times area= 9x²
9x²= (3x+40 )(x+1)
9x²= 3x²+ 3x +40x +40
9x²= 3x²+ 43x +40
0 = -6x²+ 43x +40
0 = 6x²- 43x - 40
6x²- 43x - 40= 0
Using quadratic equation
a= 6 , b= -43 , c-= -40
x= - b±√b²- 4ac/ 2a
x= 43±√1849- 4(6)(-40)/ 12
x= 43±√1849+960/ 12
x= 43± 53/ 12
x= 43+ 53/ 12 and x= 43- 53/ 12
x= 96/ 12 and x= -10/ 12
x= 8 and x= - 5/6
Ignoring the negative value x= 8 width is 8 meters and length is 3*8= 24 meters
I got 80% on a major grade. It's not that bad, right?
Answer:
no, that's good
Step-by-step explanation:
I'm pretty sure that's a b, so it's good
Answer:
No thats good cause last year i had a 60% as my major grade but i got 92% this year
Step-by-step explanation:
HURRY 50 POINTS
Which is the correct classification and decimal expansion of StartFraction 5 Over 8 EndFraction?
irrational number, 0.6ModifyingAbove 25 with bar
irrational number, 0.625
rational number, 0.625
rational number, 0.6ModifyingAbove 25 with bar
Answer:
the correct classification and decimal expansion of StartFraction 5 Over 8 EndFraction
=5/8=0.625[irrational number]
Answer:
The correct answer is (b) i believe
Step-by-step explanation:
Have a great day!