Answer:
It will take her approximately 28 seconds to cross the diagonal of the pitch
Step-by-step explanation:
If we can find the length of the diameter of the field (in Metres), we can easily find the time it takes her to cross this length using motion equations.
Step one: Find the length of the field from its area.
The field is rectangular in shape. The area of the field is 48m^2. To get the area of the field, we had to multiply its length and its breadth.
i.e area = length X breadth.
Let us assume that the breadth = 6m
its length will be area / breadth = 42/ 6 = 7m
The length of the pitch = 7 m
Step Two: Find the length of the diagonal using Pythagoras' theorem.
From Pythagoras'theorem, the length of the diagonal can be obtained by
[tex]diagonal = \sqrt{l^2 +b^2}[/tex]
[tex]diagonal = \sqrt{6^2+ 7^2} = 9.22m[/tex]
The length of the diagonal is 9.22m
Step three: Find the time using her speed and the distance she needs to cover.
Time = distance / speed
time = 9.22 /20 = 0.46 minutes
It will take her approximately 28 seconds to cross the diagonal of the pitch
if 3 more than 5 times a number is seven more than three times that number, what is the result when the number is added to 10
Answer: 12
Step-by-step explanation:
3 more than 5 times a number = 3+5x
seven more than three times that number = 7+3x
is = "="
Thus,
3 + 5x = 7 + 3x
2x = 4
x = 2
2 + 10 = 12
Hope it helps <3 :)
URGENT please solve number 12 it’s due at 11:59 tonight thanks
how do I get the area of a circle?
Answer:
The area of a circle is pi times the radius squared (A = π r²).
Step-by-step explanation:
Hope this helps!! If it does can you please mark me brainliest? It would help a lot, its fine if you don't want to!
HELP What is the area of a circle with a radius of 13 feet? IT IS NOT 530.93 ft
Answer:
530.66
Step-by-step explanation:
to find the area you need to do pi times the radius square and to find the radius squared you just times it by its self so 13 times 13 which is 169 and pi is 3.14
so now you just do 3.14x169=530.66
10.
4+y=-3 and x-3y=-18
the hypotenuse of a right triangle is 15in and leg one is 12in how long is leg two
Answer:
9 inches
Step-by-step explanation:
A^2 + B^2 = C^2 !!!! This is very important to remember!!!
15^2 - 12^2 = 81^2
Get rid of ^2 by taking square root
Square root of 81 is 9!
How many solutions does the system of linear equations have?
y = 34x + 12
y = 43x
Answer:
x=4/3 and y=172/3
Step-by-step explanation:
hope this helps!
Help please I need help with this
Answer:
The answer is 1.53 for week 1 and
week 2 is 1.2
Step-by-step explanation:
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]
write the recurring decimals as fractions 0.15 and 0.369
Answer:
0.15 = 3/20. 0.369= 369/1000.
11(n + 3)
F. 14n
G. n + 33
H. 33n
I. 11n + 33
(Please help with this)
Answer:
corect answers is I. 11n + 33
The average depth of a certain ocean is 10,938 feet below the surface of the ocean.
Answer:
-10,938
Step-by-step explanation:
Since it is below sea level then it’s negative.
Hope this help!
need help pls!!!! Algebra
Answer:
11
Step-by-step explanation:
Triangle ABC was dilated and rotated to form triangle DEC.
Triangles A B C and D E C. Side A C is x and side B C is 8. Side E C is 5, side E C is 7.8, side C D is 6.
What is the length of side AC? (Figures not drawn to scale.)
IF YOUR CORRECT I WILL GIVE U THE CROWN
Answer:
9.6
Step-by-step explanation:
Answer:
9.6
Step-by-step explanation:
solve : 2⁴
I need to show work
Answer:
16
Step-by-step explanation:
2 to the power 4
2 × 2 × 2 × 2 = 4 × 2 × 2 = 8 × 2 = 16
2⁴=16
2•2=4
4•2=8
8•2=16
hope i helped. (:
A pizza store sold 36 pepperoni pizzas in a day, which was 24% of their pizza sales.
What was the total number of pizzas sold that day?
Answer:
150 pizzas
Step-by-step explanation
36 pizzas are equivalent to 24% so i divided both sides by 4 which gave me 9 pizzas for 6% . But 6 cannot fully fit into 100 so it will have to be a decimal i did 100 divided by 6 so i would know what i would have to divide both sides by which gave me 50/3 which was 16.66666667 which when i times by 9 by it gave me 150 pizzas
Hope this helps
Which system of equations has no solutions? y -
solve for r in the parallelogram
what is the area of a circle with a radius of 4 inches?
The formula for the volume of a cylinder is V=pi*r^2h. The cylinder to the right has an exact volume of 360x cubic meters. Find it's height.
Answer:
12.7342
Step-by-step explanation:
V=360
d=6
r=1/2*d=3
r^2=9
360/pi=114.592
114.592/9=12.7342
please help.[tex]\frac{4}{x+2} +\frac{8}{x+5} -\frac{8}{x+3} -\frac{4}{x+6}[/tex]
Need some help working these out
Answers:
Problem 1) 40 degreesProblem 2) 84 degreesProblem 3) 110 degrees===============================================
Explanation:
For these questions, we'll use the inscribed angle theorem. This says that the inscribed angle is half the measure of the arc it cuts off. An inscribed angle is one where the vertex of the angle lies on the circle, as problem 1 indicates.
For problem 1, the arc measure is 80 degrees, so half that is 40. This is the measure of the unknown inscribed angle.
Problem 2 will have us work in reverse to double the inscribed angle 42 to get 84.
-------------------
For problem 3, we need to determine angle DEP. But first, we'll need Thales Theorem which is a special case of the inscribed angle theorem. This theorem states that if you have a semicircle, then any inscribed angle will always be 90 degrees. This is a handy way to form 90 degree angles if all you have is a compass and straightedge.
This all means that angle DEF is a right angle and 90 degrees.
So,
(angle DEP) + (angle PEF) = angle DEF
(angle DEP) + (35) = 90
angle DEP = 90 - 35
angle DEP = 55
The inscribed angle DEP cuts off the arc we want to find. Using the inscribed angle theorem, we double 55 to get 110 which is the measure of minor arc FD.
Someone help me (10 points each person)
Answer:
x = 34 degrees
Step-by-step explanation:
there are many rules when it comes to parallel lines but this is called corresponding angles which means if we know these two are parallel lines then x and 34 will be the same therefore x will equal 34
Answer:
34
Step-by-step explanation:
Need help plz it’s only one question!!!
Answer:
owes $12.50
Step-by-step explanation:
2.5*5
=12.5
Answer:
-12.5
Step-by-step explanation:
If you do 2.50*5 (because Ms. Ortiz borrows $2.50 every day for 5 days) it equals 12.5, and since it's how much she owes, you have to make it negative, so it's -12.50 or she owes $12.50 (the first one if you are supposed to have the answer be negative, the second one if you have to have it in money form).
what 2 numbers multiply together to equal 15, and add together to equal 8?
Answer:
7.5 x 2
4 + 4
Step-by-step explanation:
7.5 x 2 = 15
4 + 4 = 8
hope i helped you!
After Friday's football game, Megan and her friends go out for ice cream. They share the Mega Mountain sundae and finish the whole thing! When they pay for the sundae, Megan evenly divides the total among 5 people. Each person pays $5.20. Which equation can you use to find the total cost c of the sundae?
Answer: c= $( 5 x 5.20)
Step-by-step explanation:
Given: Total people =5
Money paid by each person = $5.20
Total cost of the sundae = (Number of people ) x (Money paid by each person)
Total cost of sunday : c= 5 x ($5.20)
i.e.Total cost of sunday = $(5 x 5.20)
i.e.Total cost of sunday = $ 26
Hence, the required equation to represent the total cost (c) of the sundae:
c= $( 5 x 5.20)
Please anyone help anyway you can
John wants to buy a new motorcycle. The tax rate is 9%. How much tax will
he pay if the motorcycle cost is $4500? (i need this quickly, i'm trying to study for my math test tomorrow but i don't even know how to do the math- pls help!)
Answer:
$405.00
Step-by-step explanation:
$4500.00×9%=$405.00
An iPhone marked for 268$ was sold for $334 due to its great popularity to customers by what percent did the price go up ( round to the nearest tenth)
Answer:
27%
Step-by-step explanation:
Use what you know about ratios to describe a rate.
Answer:
down below
Step-by-step explanation:
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.