Answer:
The perimeter of the track is of 317 meters.
Step-by-step explanation:
Perimeter:
The perimeter of a figure is the sum of all its dimensions.
In this question:
The track is composed by two straights of 80m, and two half circles with a diameter of 50m.
Perimeter of a circle:
The perimeter of a circle with diameter d is of:
[tex]P = \pi d[/tex]
Track:
Two half circles, each with a diameter of 50m, plus two straight lines of 80m. So
[tex]P = \frac{2\pi}{2}(50) + 2*80) = 50\pi + 160 = 50*3.14 + 160 = 317[/tex]
The perimeter of the track is of 317 meters.
What’s 22,000 - 407% of 60?
Answer:
21,755.8
Step-by-step explanation:
To solve this equation, we must first find 407% of 60.
To do this, place the percent over 100 (fraction form), then, multiply it by the number you're finding the percentage of.
407/100 x 60/1 = 24,420/100
24420 / 100 = 244.2
244.2 is 407% of 60.
Lastly, you subtract 244.2 from 22,000.
22,000 - 244.2 = 21,755.8
Answer:
21755.8
Step-by-step explanation:
407%=4.07
4.07*60=244.2
22,000-244.2=21755.8
Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37
Answer:
The general rule is [tex]a_n = -2 - 5(n-1)[/tex]
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
The general rule of an arithmetic sequence is given by:
[tex]a_{n} = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term and d is the common difference.
We can also find the nth term as a function of a term m, using:
[tex]a_n = a_m + (n-m)d[/tex]
a3 = -12 and a8 = -37
First we find the common difference. So
[tex]a_n = a_m + (n-m)d[/tex]
[tex]a_8 = a_3 + (8-3)d[/tex]
[tex]-37 = -12 + 5d[/tex]
[tex]5d = -25[/tex]
[tex]d = -\frac{25}{5}[/tex]
[tex]d = -5[/tex]
So
[tex]a_n = a_1 - 5(n-1)[/tex]
Finding the first term:
[tex]a_n = a_1 - 5(n-1)[/tex]
Since [tex]a_3 = -12[/tex]
[tex]a_n = a_1 - 5(n-1)[/tex]
[tex]a_3 = a_1 - 5(3-1)[/tex]
[tex]a_1 = a_3 + 10 = -12 + 10 = -2[/tex]
So the general rule is:
[tex]a_n = a_1 - 5(n-1)[/tex]
[tex]a_n = -2 - 5(n-1)[/tex]
Which equation describes the line???
Answer:
The answer is D. y-10=2(x-1)
Step-by-step explanation:
[tex]y-y_{1}=m(x-x_{1})[/tex]
First, find the slope from the two points:
m=(10-2)/(1+3)=2
let [tex]y_{1}=10 and x_{1}=1[/tex]
thus, y-10=2(x-1)
[tex] \sqrt[3]{54} [/tex]
How do I solve?
Answer:
find the cubic root of the number given
How many recent graduates make less than 44,000 dollars
Answer:
C) 1,000 students
Step-by-step explanation:
Look at the bar graph and add up all the values less than 44,000.
:D
Solve: (-8)(-9)(-3)
Divide or multiple
Answer:
(-8)(-9)(-3)= -216
Step-by-step explanation:
-8 x -9 x -3 = -216
HELP IS STUDY ISLAND I NEED THIS NOW
Answer:
i think A. 6 in
Step-by-step explanation:
because the lenght is diagram 3
You are buying shoes online. The selling price is $29.99. The sales tax is 6.5% What is the total cost? Round to the nearest penny, if necessary.
Answer:
hjvcwhcd
Step-by-step explanation:
hccdw u hvucoijihcxpoiyutrdjrggggggggggggggggggggggggggggggggggggggg
A golfer drives a ball 21 degrees from a line between the tee and the hole that is 380 yards away. How far is the ball from the whole if it landed 190 yards from the tee?
NEED WORK
Answer:
190
Step-by-step explanation:
its 170 because 380-170=190
The owner of a small store buys coats for $55 each answer Parts A and B. Hey. He sells the coats for $66 each. What is the percent of the purchase price is the sale price? The sale price is 120% of the purchase price B. The owner increases the sale price by the same percent that you found in part A when he buys jackets for $45 and sells them. How many jackets must the owner by for the total jacket sales to be at least $260? Explain your answer.
What type of counting problem is this?
Johnny is a very picky eater, so he likes to use a lot of condiments. He has ketchup, salt, pepper, and shredded cheese at his disposal. His mother tells him he may only make two additions to his meal (i.e., he can add condiments only twice, regardless of whether or not he already used them). How many different ways can Johnny improve his meal?
The type of counting problem is combination with repetition.
What is combination ?One of the several ways of choosing items from a large set of objects, without considering an order is termed as Combination.
As johnny use a lot of condiments.
His mother tells him he may only make two additions to his meal.
He can add 2 condiments only twice, whether he already use them or not.
So, here we will use combination with repetition because here same condiments can be added twice that is two times.
So, in how many different ways can johnny improve his meal can be determined by combination with repetition.
Learn more about combination here:
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Answer:
10
Step-by-step explanation:
What is the slope of the line that passes through the points (-3, -3)(−3,−3) and (-18, -23) ?(−18,−23)? Write your answer in simplest form.
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
1. the requred slope can be calculated using the formula:
[tex]slope=\frac{|y_1-y_2|}{|x_2-x_1|};[/tex]
2. according to the formula above:
slope=(23-3)/(18-3)=20/15=4/3
I need help plz I don't understand this
Answer:
3 bird HAHAHAH sana makatulong
Answer:
From point A to point B is x= -7 y= -4
From point B to point C is x= 6 y=-5
Step-by-step explanation:
I think it's kinda hard to see
8. A plumber charges $85 for service calls plus $23 per hour for labor. Write and solve an equation to determine how much he would charge for a 24 hour service call.
Answer
24*108=x
Step-by-step explanation:
Lets say x is the total amount. and you need to find it for 24 and 85+23= 108 dollars. and so you multiplay 108 with 24. hope it helped
solve the followin question each question carries
K2-2K-24=0
Answer:
Are u guys solving for k?
Step-by-step explanation:
Which expression is equivalent to -2 1/4 divide -2/3?
Answer:
-9/4 divide (-2/3)
Step-by-step explanation:
Help me please with this thank you
PLEASE ANWSER ASAPPPP
The only solution to x^2+bx+c=0 is x=5 find a and b
Answer:
b=-10
c=25
Step-by-step explanation:
if the only solution is 5 so
x^2+bx+c=(x-5)²=x²-10x+25
b=-10
c=25
helppp please i don’t understand
Here's the Solution,
let's take :
x1 = 7x2 = 3y1 = 5y2 = 2now,
=》
[tex]d = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
=》
[tex]d = \sqrt{(3 - 7) {}^{2} + (2 - 5) {}^{2} } [/tex]
=》
[tex]d = \sqrt{( - 4) {}^{2} + ( - 3) {}^{2} } [/tex]
=》
[tex]d = \sqrt{16 + 9} [/tex]
=》
[tex]d = \sqrt{25} [/tex]
=》
[tex]d = 5[/tex]
So, distance between the points is 5 units
Please help me!
Evaluate (-27)^1/3
1/3 is a fraction
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
-3 is correct, but why?
The reason is that the exponent 1/3 indicates a cube root and the cube root of -27 is -3.
[tex]x^\frac{1}{n}=\sqrt[n]{x}[/tex]
So [tex]x^\frac{1}{2}=\sqrt{x}[/tex]
[tex]x^\frac{1}{5}=\sqrt[5]{x}[/tex]
etc.
Kaleb feeds 4 cups of pellets to his pet hamsters each day. He gives his guinea pig 3/4 as much food as he gives the hamsters.
How much food does the guinea pig receive each day?
Answer:
The hamster eats 1 cup a day I hope this helps
Step-by-step explanation:
alicias garden is 50 square feet. inside of her garden she plants a section of tomatoes that is 3 feet by 4 feet how much more spaces does she have left in her garden to plant other crops
Answer:
38 square feet. in return please subscribe to Amiredagoat Yt.
Step-by-step explanation:
If 50 square feet make up Alicia's garden. She plants a part of tomatoes within her garden that is 3 feet by 4 feet. She has 38 additional feet of room in her garden to grow various kinds of vegetables.
What is a rectangle?It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that, Alicia's garden is 50 square feet. inside her garden, she plants a section of tomatoes that is 3 feet by 4 feet
In daily life, area and perimeter are used for a variety of purposes, including determining a home's floor area, a footpath's circumference, a wire fence around a park, etc.
Area of Alicia's garden = 50 square feet
Area of a section of tomatoes that is 3 feet by 4 feet,
A=4 × 3
A=12 sq feet
The spaces she has left in her garden to plant other crops is,
=50 - 12
=38 square feet
Thus, if 50 square feet make up Alicia's garden. She plants a part of tomatoes within her garden that is 3 feet by 4 feet. She has 38 additional feet of room in her garden to grow various kinds of vegetables.
Learn more about the rectangle here:
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Heres another math question! Please no links, and dont answer if you dont have an answer or I will report!
hope you have an amazing day lovely! <3
Is 7/10 a simplest form
Answer:
710
Step-by-step explanation:
Detailed Answer: The fraction 710 is already in the simplest form, so it isn't possible to reduce it any further.
What is the area? 20 km 13 km 16 km
ANSWER IMMEDIATELY! GIVING BRAINLIEST !!
Answer:
h = 14 units
Step-by-step explanation:
area of parallelogram = bh
plug everything in: 84 = (6)h
h = 84/6 = 14
⚠️ PLEASEEEE HELPPPPPP !!!!!
Answer:
Where is the pic
Step-by-step explanation:
what is the value of the expression below? (64^3)^1/6
Answer:
(64^3)^(1/6)
=(64)^(3×1/6)
=(64)^(1/2)
=(8^2)^(1/2)
=(8)^(2×1/2)
=8^1
=8
8 is the correct answer of your question...
Answer:
8
Step-by-step explanation:
Remember the phrase "power to a power means to multiply the exponents"
That is, if you have a number (call it x) raised to a power (call it b), and that whole expression is raised to a power (call it c), it's the same as that number x raised to the power of the product of those two powers.
[tex](x^a)^b = x^a^b[/tex]
Here's an example showing to give some intuition behind this (and a way to derive the above formula if you forget it):
[tex]x^3 = x*x*x\\(x^3)^2 = (x*x*x)^2 = x*x*x*x*x*x = x^6[/tex]
Or more simply,
[tex](x^3)^2 = x^(^3^*^2^) = x^6[/tex]
So in this case:
[tex](64^3)^\frac{1}{6} = 64^(^3^*^\frac{1}{6}^) = 64^\frac{1}{2} = 8[/tex] (remember a number raised the to the power of 1/2 is the square root of the number; in this case, the square root of 64 is 8)
Help!! Thanks in advance
Answer:
I uploaded a file hosting for your question!
Here’s the answer:
bít.ly/idonotscampeople
Step-by-step explanation:
[tex]\frac{9}{11} =\frac{x}{22}[/tex]
[tex]11x=198[/tex]
[tex]x=18[/tex]
Answer:
18 is the answer of the question