Answer: 112.36cm^2
Step-by-step explanation:
Un cuadrado tiene 4 lados de igual longitud.
Si dibujamos la diagonal del cuadrado, podemos ver la imagen como dos triángulos rectángulos.
Donde los lados del cuadrado son los catetos, y la diagonal es la hipotenusa.
Ahora, recordando el teorema de Pitágoras, tenemos que, si A y B son catetos, y H es la hipotenusa:
A^2 + B^2 = H^2
En este caso sabemos que los catetos son iguales (por que es un cuadrado)
A = B.
Y también sabemos que H = 15cm.
A^2 + A^2 = (15cm)^2
2*A^2 = (15cm)^2
A = √((15cm)^2/2) = 15cm/√2 = 10.6 cm.
Ahora conocemos L, el largo de los lados de nuestro cuadrado.
L = 10.6cm
Y sabemos que el área de un cuadrado es igual a el cuadrado de uno de los lados:
Área = L^2 = (10.6cm)^2 = 112.36cm^2
A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 12 minutes, and then flies directly back to the hive at 8
feet per second. It is away from the hive for a total of 15 minutes.
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?
a. Write the equation. Let d be the distance of the flowerbed from the hive.
(Type an equation. Use integers or fractions for any numbers in the equation. Do not simplify.)
Answer:
a. 15 = d/600 + 12 + d/480
b. 800 feet
Step-by-step explanation:
a. Let distance between hive and flowerbed be "d" feet
Speed of bee during motion from hire to flowerbed = 10ft / sec = (10*60)fit/minute
Speed of bee during reverse motion = 8 ft/sec = (8*60)ft/min
Time which the bee stayed at flower bed = 12 minute
Time of its total journey = 15 minutes
Total Time = Time of travel from hive to flowerbed + Time of staying in flowerbed + Time of reverse travel
15 = d/10*60 + 12 + d/8*60
15 = d/600 + 12 + d/480....................(Required equation)
b. 15 = d/600 + 12 + d/480
d/600 + d/480 = 15 - 12
d/600 + d/480 = 3
4d + 5d = 3
2400
9d = 2400 * 3
9d = 7200
d = 7200/9
d = 800 feet
Hence, the flowerbed is 800 feet far from the hive.
Ahmad is choosing a password to access his teacher's web page. He must choose a capital letter and three nonrepeating digits from 0 through 9. The letter can be in any position in the password. Which shows part of the sample space for Ahmad's password? O A135, 135A, 135, 13A5 A113, A123, A133, A143 OA23, 0a23,02A3, 02a3 O 1234, 5678, 0246, 1357
Answer:
Step-by-step explanation:
The fist answer is correct!!
Answer: A
Step-by-step explanation:
Tomlin is removing the wallpaper the wallpaper covers 5 meter by 4 meter rectangular wall how much wallpaper will tomlin remove
The amount of wallpaper that Tomlin remove is 20m²
How to determine the amountTo determine the amount of wallpaper, we need to know the area.
The formula that is used to calculate the area of a rectangle is expressed as;
A = lw
Such that the parameters of the formula are given as;
A is the area of the rectanglel is the length of the rectanglew is the widthNow, substitute the values given in the question, we have;
Area = 5(4)
expand the bracket, we get;
Area = 20m²
Learn more about area at: https://brainly.com/question/25292087
#SPJ1
10 + 3x 11
Write your answer in interval notation
Answer:
10+33x
Step-by-step explanatiion:
cs yu have to multiply 10 times 3 which give yu 33.
Answer:
10 + 3x 11 most definitely equals 43
what is the simplified form of the ratio 9:18
Answer:
1:2
Step-by-step explanation:
:)
What is the scale factor for this dilation? (Please only give the number)
Answer:
2
Step-by-step explanation:
Express the polynomial - 4p + 3p + 2p2 in standard form and then classify it.
quadratic trinomial
cubic binomial
quadratic binomial
cubic trinomial
Answer:
[tex]2p^{2}[/tex] - p is a quadratic binomial
Step-by-step explanation:
The expression contains only two terms resulting in the classification of a binomial; however, the expression begins with a squared term, so it is classified as a quadratic binomial.
Answer:
quadratic binomial
Step-by-step explanation:
(One penny measures 0.75 inches in length.) If we lined up these 288 billion pennies, how long (in billions of inches) would the line be?
Answer:
216,000,000,000 inches
Step-by-step explanation:
Approximate each irrational number to the nearest thousandth.
✔5
✔19
✔99
✔42
Answer:
look down
Step-by-step explanation:
the square root of 5 is : 2.2360679775
rounded to the nearest thousandth is 2.236
__________________________________
the square root of 19 is: 4.35889894354
rounded to the nearest thousandth is 4.359
__________________________________
the square root of 99 is: 9.94987437107
rounded to the nearest thousandth is 9.950
__________________________________
the square root of 42 is: 6.48074069841
rounded to the nearest thousandth is 6.481
hope this helps :)
The function y = 14 +2.31x + 4.50 can be used to determine the cost in dollars for an Uber ride of x miles which takes no longer than 10 minutes. What is
the rate of change of the cost in dollars with respect to the number of miles?
Answer:
2.32dollar/mileStep-by-step explanation:
step one:
Given the function
y = 14 +2.31x + 4.50
we can solve for the rate of change by applying differentiation.
step two:
differentiating y which is cost with respect to x which is the miles
dy/dx= 0+2.32+0
dy/dx=2.32
Hence the rate of change of cost in the dollar to a mile is
2.32dollar/mile
What is the slope of the line that passes through the points (4,7) and (5,8)?
answer in simplest form?
(25) Points please help will pick someone has the brainliest if right!
Answer:
D) 80
Step-by-step explanation:
Your answer is 80 because to find median you must Add up all of the numbers and divide by the number of numbers in the data set. The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median. Which I did and got 80 Your welcome
Hope this helped if it did plz give me brainiest Thanks <3
Picture below thanks will mark brainlist
Answer:ty
Step-by-step explanation:
HELP ME PLEASE!!!!!!!!!
Answer: 6
Step-by-step explanation:
Answer:
6cm
Step-by-step explanation:
22-16=6cm
CA is a subsection of AB and we already have CB which is the remaining length if we cut off CA, therefore if we subtract CB from AB we get CA.
plzzz helpppp meeee aaaasssaaappp
Answer:
4. Answer is 19
5. Answer is 77
Step-by-step explanation:
65-(-12)
= 65+12
=77
Answer:
1977Step-by-step explanation:
4.
[tex]-64-(-83)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=-64+83\\\\\mathrm{Add/Subtract\:the\:numbers:}\:-64+83=19[/tex]
5.
[tex]Kim = 65 \:points\\Sister =-12\\\\Difference = 65-(-12)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=65+12\\\\=77[/tex]
1. Jim opens a savings account with $22,500. His account pays 3.5% simple interest. At the end of 5.5 years, Jim closes the account. How much interest does he earn? What is the total value of his account when he closes it?
Answer:
$27186.57
Step-by-step explanation:
Formula: start(interest)^time
First, we need to calculate the interest which in this case would be 1.035 (1+(3.5/100)) since it is increasing 3.5% each year. Then we can just plug the values into the formula to get:
22,500(1.035)^5.5 = 27186.57
Find the value of this expression if x = 9. x^2+7/x+2
Answer:
8
Step-by-step explanation:
Answer:
Yeah, the answer is 8.
Step-by-step explanation:
I've gotten this question and it's right.
There were 5 chaperones assigned to go
with students on a field trip. What
algebraic expression represents the total
number of students and chaperones who
went on the field trip? Use the letter n to
represent the number of students on the
field trip
Field Trip Participants
Number of Number of
Students (n) Chaperones
10
5
15
5
5
25
Answer:
5 chaperones to 25 students
Step-by-step explanation:
You have to see which expression can be multiplied by 5 since there are 5 chaperones each number of students for example:
5 x 2 = 10
5 x 3 = 15
5 x 4 =20
5 x 5 = 25
What is the answer for 76.58×1.92
Answer:
147.0336
Step-by-step explanation:
use long multiplication
(07.01) Which of the values for x and y make the equation 2x + 3y + 4 = 15 true? x = 6, y = 3 x = 3, y = 5 x = 6, y = 4 x = 1, y = 3
Answer:
x = 1, y = 3
Step-by-step explanation:
Given:
2x + 3y + 4 = 15 ⇒ 2x + 3y = 11Now let's check the pairs of x and y:
x = 6, y = 3
2x + 3y = 2*6 + 3*3 = 12 + 6 = 18 ≠ 11incorrectx = 3, y = 5
2x + 3y = 2*3 + 3*5 = 6 + 15 = 21 ≠ 11incorrectx = 6, y = 4
2x + 3y = 2*6 + 3*4 = 12 + 12 = 24 ≠ 11incorrectx = 1 , y = 3
2x + 3y = 2*1 + 3*3 = 2 + 9 = 11correctAnswer:
D. x= 1, y = 3
Step-by-step explanation:
I took the test
The length of a rectangle is 3 less than 4 times the width. If the perimeter is 90 cm, what is the width? What is the length?
x+(4x-3)=90.
5x-3=90.
5x=93.
x=18.6.
Find x, if 36, x, x, 16 are in proportion.
please tell fast
Step-by-step explanation:
36 : x :: x : 16
16 x 36 = x2
576 = x2
Taking square root on both sides
24 = x
Answer:
36/x = x/16
x^2 = 36*16
x = √36*16
x = 6*4
x = 24
2 + (3 + 11) =(2 + ) + 11
Answer:
16 =13
False
Step-by-step explanation:
[tex]2 + (3 + 11) =(2 + ) + 11\\\\2+\left(3+11\right)=\left(2\right)+11\\\\\mathrm{Simplify\:}2+\left(3+11\right):\quad 16\\\\\mathrm{Simplify\:}\left(2\right)+11:\quad 13\\\\16=13\\\\False[/tex]
Represent the following sentence as an algebraic expression, where "a number" is the letter x.
The quotient of a number and 4.
Please help!
Evaluate 9 - 3 - 2 + 4.
Answer:
8
Step-by-step explanation:
9 - 3 - 2 = 4
4 + 4 = 8
Hope this help you :)
mark me brainlest pls ;)
Answer:
8
Step-by-step explanation:
9 - 5 = 4
4 + 4 equals 8
hope this helps :D
solve 5x-2+x=-20 ( Adding this to just make the 20 character requirement.)
Answer:
x= -3
Step-by-step explanation:
[tex]\text{Hello there! :)}[/tex]
[tex]\large\boxed{x = -3}[/tex]
[tex]5x - 2 + x = -20\\\\\text{Combine like terms:}\\\\5x + x - 2 = -20\\\\6x - 2 = -20\\\\\text{Add 2 to both sides:}\\\\6x - 2 + 2 = -20 + 2\\\\6x = -18\\\\\text{Divide both sides by 6:}\\\\6x / 6 = -18/6\\\\x = -3[/tex]
sketch the graph of
y=x2+x-12
Answer:
The picture represents y = x^2 +x -12.
x-int = (-4,0) and (3,0)
y-int = (0, -12)
A salesperson makes $200 per week and $35 bonus for each person, x, he signs up.
Which expression represents the total amount of money the salesperson makes in a week?
200x + 35
200(x +35)
35(x + 200)
200 + 35x
x = # of people they sign up
200 + 35x is the only correct choice.
Answer:
200+35x is the correct solution
If nine less than four times a number is 11 what is the number
Answer:
5
Step-by-step explanation:
Write the equation
4x-9=11
Add 9 to both sides
4x=20
Now divide by GCF (4)
4x/4=20/4
x=5
Hope this helps! Plz award Brainliest : )
3. Which answer is correct?
A 5 = 13 B 4<9C8<3 D 2 > 12
Answer:
b 4<9
Step-by-step explanation: