Simon set up his tent in his backyard last night. His tent is 6 feet tall. To secure it to the ground, he attached a rope from the top of the tent to the ground 8 feet away from the bottom of the tent as shown below. How many feet long, R, is the rope?
Length of Simon's tent = 6 feet
Distance from the bottom of the tent to the tent's base = 8 feet
Let the length of rope be R.
The tent and the rope forms a right angle triangle where the rope is the hypotenuse.
We know that :
[tex]\color{hotpink} \tt{hypotenuse}^{2} \color{plum}= {base}^{2} + {height}^{2} [/tex]
Which means :
[tex] = \tt {R}^{2} = {6}^{2} + {8}^{2} [/tex]
[tex] =\tt {R}^{2} = 36 + 64[/tex]
[tex] = \tt {R}^{2} = 100[/tex]
[tex] =\tt R = \sqrt{100} [/tex]
[tex]\hookrightarrow\color{plum}\tt \bold{R = 10 \: feet}[/tex]
Thus, the hypotenuse of this triangle = 10 feet
▪︎Therefore, the length of the rope = 10 feet
¿cuantos envases se necesitan, si ponemos los 6 litros en envases de 3/4 litros?
se necesitan 8 envases
denada
Toby is trying to show his teacher why the product of two rational numbers is another
rational number. His first steps are shown. Which is the best method Toby could use to
proceed?
L
B
Using the concept of rational numbers, it is found that the best method Toby could use is a multiplication of fractions, as the product of two fractions(two rational numbers) is always a fraction(rational number).
-------------
A rational number, no matter if an integer, a finite decimal or a repeating decimal can always be represented by a fraction.The product of two fractions will always result in a fraction, as the numerator of the multiplication is the multiplication of the numerator of the factors, and same for the denominator.Thus, since the product of two fractions is always a fraction, the product of two rational numbers is always a rational number.A similar problem is given at https://brainly.com/question/10814303
After a 60% reduction, you purchase a new sofa drink machine on sale for $312.
What was the original price of the sofa drink machne?
the half-life of chromium-51 is 38 days. If the sample contained 510 grams. How much would remain after 1 year?
Answer:
About 0.6548 grams will be remaining.
Step-by-step explanation:
We can write an exponential function to model the situation. The standard exponential function is:
[tex]f(t)=a(r)^t[/tex]
The original sample contained 510 grams. So, a = 510.
Each half-life, the amount decreases by half. So, r = 1/2.
For t, since one half-life occurs every 38 days, we can substitute t/38 for t, where t is the time in days.
Therefore, our function is:
[tex]\displaystyle f(t)=510\Big(\frac{1}{2}\Big)^{t/38}[/tex]
One year has 365 days.
Therefore, the amount remaining after one year will be:
[tex]\displaystyle f(365)=510\Big(\frac{1}{2}\Big)^{365/38}\approx0.6548[/tex]
About 0.6548 grams will be remaining.
Alternatively, we can use the standard exponential growth/decay function modeled by:
[tex]f(t)=Ce^{kt}[/tex]
The starting sample is 510. So, C = 510.
After one half-life (38 days), the remaining amount will be 255. Therefore:
[tex]255=510e^{38k}[/tex]
Solving for k:
[tex]\displaystyle \frac{1}{2}=e^{38k}\Rightarrow k=\frac{1}{38}\ln\Big(\frac{1}{2}\Big)[/tex]
Thus, our function is:
[tex]f(t)=510e^{t\ln(.5)/38}[/tex]
Then after one year or 365 days, the amount remaining will be about:
[tex]f(365)=510e^{365\ln(.5)/38}\approx 0.6548[/tex]
Pleaseee I need help it’s a major grade
Answer: D.
Step-by-step explanation:
48/2.15= d, so 2.15d=48
What is the area of the composite shape?
Answer:
I believe it is 76 ft squared but I am not positive..
Which angle is an exterior angle?
Answer:
I presume that i° would be the exterior angle for this question.
Step-by-step explanation:
Please I Need Help
I'm stuck on this question ⁉️
Answer:
greater than
Step-by-step explanation:
Please forgive me if wrong
a + b + c) = (a + b) + C
propertie
Answer:
Commutative Property its is....4
What is the result of 2-10?
.
1
5
Answer:
-3.14530027393739338363829263839
-Step-by-step explanation:
What is the answer????please helpp
What property must be used when solving each step of a one variable linear equation?
add, subtract, multiply, or divide an equation by a number or an expression as long as we do the same thing to both sides of the equal sign. ...
Apply the distributive property as needed:
Isolate the variable on one side of the equation.
Step-by-step explanation:
A triangle has two sides of lengths 7 and 12. What value could the length of
the third side be? Check all that apply.
A. 17
B. 5
C. 7
D. 11
E. 9
DF. 3
Answer:
The length of the third side is 23
Step-by-step explanation:
All check
7, 17, 11, and 9 are the answerr
what is 1+1= ? and how do you do it? also what is the pendas mean?
Answer:
2, PEMDAS means parentheses, exponents, multiplication, division, addition, and subtraction.
Step-by-step explanation:
What is the range of the data set below?
25, 24, 24, 24, 33
Answer:
9
Step-by-step explanation:
the range is the difference between the greatest value and the smallest one. The greatest value in the data set is 33, and the smallest is 24.
So u just subtract 24 from 33:
33 – 24 = 9
and that's your range! hope this helps!
5. Triangle ADE is enlarged to form triangle
Answer: the scale factor would be 2
Step-by-step explanation:
If you add all lengths for triangle ABC you can see that triangle ADE x 2 will give you the lengths for ABC
Pass a brotha some help :(
Answer and Step-by-step explanation:
Distribute the 1p to the y and -6 and distribute the 2 to the 3y and 6.
10y - 50 + 6y + 12
Now, combine like terms.
16y - 38
#teamtrees #PAW (Plant and Water)
6 mi Find the volume for the shape above. Use 3.14 for pi. Round to the nearest whole number.
Answer:
Step-by-step explanation: does anyone know? I really need this
Im a bit stuck on this problem
Answer:
f I I tough luck if it's if I've if it's if you've paid down let of us if just it ubos skits enough of others
Step-by-step explanation:
digital shall will also sorry soap sorry s goo form enough wish all so do all kelan kaso kaka kalakalorry root sorry for
HELP ME JUST ANSWER PLZ IM SUFFERING I WILL GIVE YOU BRAINLYEST OR WHATEVER
Answer:
534.07in squared is what I got for the surface area
Step-by-step explanation:
Simplify the expression using properties of operations.
18t−3−5t+8
Answer:
13t+5
Step-by-step explanation:
HELO PLS DUE IN 40 MINS
In the diagram below, it is given that point Ris the midpoint of PQ. Which of the following can be concluded
based on this given?
Answer:
Sheesh good luck
Step-by-step explanation:
.........
Answer:
3
Step-by-step explanation:
MN is not equal to NR, because MN is too long
It doesn't tell us R is the midpoint of MN, so for all we know MR and RN are completely different measurements.
PR and QR must be equivalent if R is the midpoint of the two.
Can someone help me with this please???...
Answer:
2×2×2×2× 5
Step-by-step explanation:
use the tree method it helps
Answer:
hey mate this is your answer..
ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART!
Two angles are complementary, can they also be supplementary? Explain.
Answer:
Yes
Step-by-step explanation:
They can because the sum of two Angles is 180, and if they are both 90, they add up to 180, making them congruent. Hope this helps
Supplementary angles are two angles whose sum is 180 degrees while complementary angles are two angles whose sum is 90 degrees.
Saying this you should probably infer that if 2 Angles are complementary, then they are 90°.
Meaning you would need 2 pairs of complementary angles to have a supplementary angle (180°).
milk truck delivers 376 dozen gallons of milk to stores in 1 day. Write and solve an equation to find n, the number of gallons of milk the milk truck delivers in 1 day. pls help!
Answer:
376*12=n
My logic:
there are 12 items in a dozen. so 376 dozens times 12 will result in the total milk delivered in a day.
You want to purchase multiple books on sale for $6.30. The sales tax is 5% and you have $20. At most, how many books can you buy?
Answer:
3 books
Step-by-step explanation:
Assume x is the number of books you could buy.
(1+0.05)(6.3x) ≤ 20
1.05(6.3x) ≤ 20
6.615x ≤ 20
x ≤ 3.02
Answer:
the awnser is 3 books yiu can buy
I NEED HELP PLZ MY SMART PPL
Answer:
its 60
Step-by-step explanation:
if its right caan i get a brainliest
Answer:
60
Step-by-step explanation:
To get the area of a right triangle (a triangle with an angle of 90 [represented by the box in the corner]) you have the formula of
Area = (a*b) divided by 2
a = one side of the triangle
b = another side of the triangle
Neither side are the hypotenuse.
Please do number 19 for me.
Answer:
[tex]x = 9[/tex]
[tex]angle \: abc = 8x + 6x + 6x \\ 20x = 180 \\ x = \frac{180}{20} \\ x= 9[/tex]
[tex]plzz \: \: mark \: as \: brainliest[/tex]
Mark is making jackets. Mark took 2 hours to make a jacket. The jacket was made up of 50 kilograms of wool. How long do you think it will take Mark to use 500 kilograms of wool for the jackets?
Given:
Mark took 2 hours to make a jacket.
The jacket was made up of 50 kilograms of wool.
To find:
The time in which Mark use 500 kilograms of wool for the jackets.
Solution:
We have,
1 jacket take 2 hours.
Number of jackets in 50 kg of wool = 1
Number of jackets in 1 kg of wool = [tex]\dfrac{1}{50}[/tex]
Number of jackets in 500 kg of wool = [tex]\dfrac{1}{50}\times 500[/tex]
= [tex]10[/tex] Jackets
Time taken by 1 jacket = 2 hours
Time taken by 10 jacket = 20 hours
Therefore, it will take 20 hours to use 500 kilograms of wool for the jackets.
Answer:
20 hours
Step-by-step explanation:
1 jacket=50kg wool
1 jacket= 2hrs
500kg available/50kg per jacket= 10 jackets
10 jackets x 2hrs per jacket=20hrs