Answer:
r=8.5 in
Step-by-step explanation:
Using the formula
d=2r
Solving for r
r=d
2=17
2=8.5in
hope this helps.
3. Samantha is training to run a marathon. The first week she runs 4 km each day. The next week, she runs 7 km each day. During each successive week (each week following), each day she runs 3 km farther than she ran the days of the previous week. If she runs for five days each week, what total distance will Sara run in a 12-week training session?
The total distance will Sara run in a 12-week training session is 1230 .
What is sum of terms in AP?An arithmetic progression is a sequence of numbers or variables in which the difference between consecutive terms is the same. There can be an infinite number of terms in an AP.
The formula for finding the sum of first n terms of an AP given in the form of "a, a + d, a+2d, a+3d, ....., a+(n-1)d" is:
[tex]S _{n}[/tex]= [tex]\frac{n}{2}[/tex] [tex][2a + (n-1)d][/tex]
According to the question
Samantha is training to run a marathon.
She runs for five days each week
The first week she runs 4 km each day. = 5 × 4 = 20
The second week, she runs 7 km each day. = 5 × 7 = 35
During each successive week , each day she runs 3 km farther than she ran the days of the previous week.
The third week, she runs 10 km each day. = 5 ×10 = 50
So on
Sara run in a 12-week training session
As this sequence is in AP
First term (a) = 20
common difference (d) = 35 - 20
= 15
Now,
Sum of 12 terms in AP
[tex]S _{n}[/tex]= [tex]\frac{n}{2}[/tex] × [2a + (n-1)d]
Substituting the values, a = 20, d = 15 and n = 12 in the above formula
[tex]S _{12}[/tex] = [tex]\frac{12}{2}[/tex] × [tex][2(20) + (12-1)15][/tex]
[tex]S _{12}[/tex] = [tex]6 [40 + (11)15}[/tex]
[tex]S _{12}[/tex] = [tex]6 [205][/tex]
[tex]S _{12}[/tex] = [tex]1,230[/tex]
Hence, the total distance will Sara run in a 12-week training session is 1230 .
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8
Allan's car uses 1 litre of fuel to travel 12 km. How much fuel will be needed to travel
420kmn?
Answer:
35 litres of fuel
Step-by-step explanation:
420 ÷ 12 = 35 litres
Answer:
35
Step-by-step explanation:
420km is needed
1L gives 12km
2L gives 24km
3L gives 36km
...
35L gives 420
Select all expressions that are squares of linear expressions. Group of answer choices x2+6x+36 (12x+4)2 (2d+8)(2d−8) p2−6p+9 x2+36 9x2−36
Answer:
(12x+4)² and p²−6p+9
Step-by-step explanation:
From the given choices, we areto select the one that are squares of linear expressions
1) For the expression (12x+4)²
This is regarded as the square of 12x+4 since the expression 12x4 is enclosed in parenthesis
2) For the expression p^2−6p+9
Factorize;
p^2−6p+9
p^2−3p-3p+9
p(p-3)-3(p-3)
(p-3)(p-3)
(p-3)²
Hence p^2−6p+9 is a square of the expression p-3
This are the only two required expressions (12x+4)² and p²−6p+9
PLEASE HELP ASAP
BRAINLIEST
HAVE 10 MINUTES
Question 9 (1 point)
(07.03 MC)
What is the solution to the following equation? (1 point)
8(2x - 10) + 18 = 4x + 22
O 1) 4
0 25
3) 7
4) 8
Answer:
7
Step-by-step explanation:
16x-80+18=4x+22
16x-62=4x+22
12x-62=22
12x=84
x=7
700% of what is 3780?
Answer:
26460
Step-by-step explanation:
it is the correct answer
Answer:
3780 is 700% of 540
Step-by-step explanation:
According to g00gle this is correct and also a percentages calculator
On Saturdays, Jasmyn works three hours more than Eve. Which expression represents how many hours Jasmyn works on Saturdays?
HELP MEEE!
...................................................
Answer:
chicken nuggies
Step-by-step explanation:
What's the least common multiple for 6x^2-54 and 9x^2-54x+81
Answer:
im sorry i really need some point for this exam
Step-by-step explanation:
line m
с
D
E
T
Select all the statements that apply to this figure.
A mis perpendicular through P to T.
B C, D, E, and F are coplanar in T.
CD, P, and F are collinear.
D FC is longer than DF.
E DE and PF are coplanar in T.
Help asap please
PLEASE HELP ANSWER
Tiana would like to buy cone-shaped hats for her birthday party. She wants hats with the largest volume, since they look bigger. Which of the following brands of hat should she buy?
Brand A:
height of cone = 15 in.
radius of cone base=6 in.
Brand B:
height of cone = 18 in.
radius of cone base=5 in.
A. Brand A
B. Brand B
C. Either - the hats have equal volumes
Brand A hat is more preferable with largest volume i.e. 565.2 cu. inches.
What is Cone?A cone is a distinctive three-dimensional geometric figure that has a flat surface and a curved surface, pointed towards the top.
Here, Given data are:
Height of cone for Brand A = 15 in.
Radius of cone of Brand A =6 in.
Volume of Cone of brand A = [tex]\frac{1}{3}\pi r^2h[/tex]
V =[tex]\frac{1}{3}X 3.14X6^2X15[/tex]
V = 565.2 cu. in.
Height of cone for Brand B = 18 in.
Radius of cone of Brand B =5 in.
Volume of Cone of brand A = [tex]\frac{1}{3}\pi r^2h[/tex]
V =[tex]\frac{1}{3}X 3.14X5^2X18[/tex]
V = 471 cu. in.
Volume of brand A > volume of brand B.
Thus, Brand A hat is more preferable with largest volume i.e. 565.2 cu. inches.
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A figure is shown
121
What is the value of x?
Keypad
1
2
3
4
5
6
7
8
9
0
ANSWER FAST ROR BRAINLIEST
I need help on this question ASAP please
A) (3,-5)
Go over to the right 3 and down 5
B) (-4,-1)
Go over to the left 4 and down 1
Answer:
A - (3, -5)
B - (-4, -1)
Step-by-step explanation:
A - (3, -5)
B - (-4, -1)
Which expression is equivalent to 5 (w + 4) when w = 9?
5 (9)
9 (5)
5 (9) + 4
5 (9) + 20
Answer:
I think it's 5(9)+20
Step-by-step explanation:
5(9+4) can be expanded to get 5(9)+5(4). And 5(4)=20
Answer:
The answer is D
Step-by-step explanation:
Mrs. Foust wants to know Aziza’s age. She knows that Aziza is the middle child. Her sister, Capri, is 4 years older than Aziza, and her sister, Portia, is 5 years younger than Aziza. The sum of their ages is 38. Let a represent Aziza’s age. Which statements are true about this scenario? Check all that apply.
Answer:
The expression that represents Capri’s age is a + 4.
The expression that represents Portia’s age is a – 5.
Step-by-step explanation:
The expression that represents Capri's age is a + 4.
The expression that represents Portia's age is a -5.
To write an equation for this scenario, Capri's age needs to be equal to Portia’s age
The equation used to represent this scenario is a + a + 5 + 2 - 4 = 38.
Solving this equation will give Aziza's age.
Aziza'a age = a
Portia age = a - 5
Capri's age = 4 + a
a + a - 5 + 4 + a = 38
Can someone help me with this ASAP please I’m being timed !
Answer:
I hope you get the answer im tryna find mines
Step-by-step explanation:
Please help me with 1,2,3,show me how you get the answers and show me the steps for 1,2,3,please do not send me link write it right here please
Answer:
Step-by-step explanation:
1. ok so you need to use Pythagoras which is a^2 + b^2 = c^2
substituting 16 and 12 into 'a' and 'b' you get 16^2 + 12^2 = c^2
256 + 144 = c^2
400 = c^2 (square root each side to get ride of the square)
c = 20cm
2. doing the same thing you get c = 22.36 in
3. again doing it you get c = 15Ft
Hope this helps!
Please help math!!!!!!! its not 1/2 btw
Answer:
-1 /2
Step-by-step explanation:
Solve for x in the diagram below.
45°
15°
4x
Answer:
15°
Step-by-step explanation:
45 + 15 = 60° (which is 4x since they're vertically opposite angles)
4x = 60°
x = 60 ÷ 4 = 15
I need help finding the area of a figure, it has 15ft of heigh on the left side, 20ft wide, and it's 20ft tall on the right side.
Answer: 6000ft2
Step-by-step explanation: Multiply 15*20*20 to find the area of a figure.
I NEED HELP !!!!!
Isabella opened a savings account and deposited $25,000.00. The account earns 20% interest, compounded annually. If she wants to use the money to buy a new car in 2 years, how much will she be able to spend on the car?
Answer:
$11,000
Step-by-step explanation:
1st year the account earned 20% from $25,000 = $5,000 | total = $30,000
2nd year the account earned 20% from $30,000 = $6,000
by adding the earnings of 2 years, she will be able to spend $5,000 + $6,000 = $11,000
I think this is easy but I wasn’t paying attention so thanks for helping!
Can anyone help pls ? This is my last question pls
Answer:
107
Step-by-step explanation:
(3+10^2)+4
10^2=10x10=100
3+100=103
103+4=107
Answer:
107
Step-by-step explanation:
Pemdas - Parantheses First
3+10 2 (pemdas)
10*10=100+3=103 Parantheses Done!
103+4=107
What is the slope of the line that passes through the points (-10, 9) and (9, 9)
Step-by-step explanation:
the answer is on foto
y = 9
A jar has 5 red marbles, 3 blue marbles, and 2 green marbles. what is the probability that you would choose a red marble, return it, then choose a green Marble?
Answer:
In Fraction = 10/100 simplified = 1/10
Decimal = 0.1
Percentage = 10%
Step-by-step explanation:
We add all marbles = 5+ 3+ 2 = 10
Event 1 = Red = 5/10
Event 2 = Green = 2/10
We follow this path and multiply = 2 x 5 / 10 x 10 = 10/100 = 1/10
Shane is mountain climbing with Naomi and had just climbed a 7.8 meter vertical rock face. Naomi is standing 6.2 meters away from the bottom of the cliff, looking up at Shane. How far away are Shane and Naomi? If necessary, round to the nearest tenth
Answer:
1.6 meters
Step-by-step explanation:
The distance between Shane and the bottom of the cliff is 7.8 meter while Naomi is standing 6.2 meters away from the bottom of the cliff.
As such, the distance between Shane and Naomi would be the difference between Shane's distance from the bottom of the cliff and Naomi's distance from the bottom of the cliff
= 7.8 - 6.2
= 1.6 meters
This is already in the nearest tenth
1 1/2 years is how many months
Answer:
18 months
Step-by-step explanation:
12 + 6 months
Miko bought a apples and b bananas. Each apple was $2 and each banana was $3. How much money did Miko spent? Write your answer in algebra expression in terms of a and b
Answer:
3b and 2a
equation - y = 3b + 2a
Step-by-step explanation:
It's 3 dollars for a banana so it'd be 3b and it's 2 for an apple so it's 2a.
I hope this helps!
Answer:
He spent 2a+3b
for
a is apples quantity
b is bananas quantity
Solve for the nearest tenth
Answer:
426.9
Step-by-step explanation:
What did Sam Houston get from the Texan victory??
Answer: He got to be elected president of the Republic of Texas.