Answer:
90[tex]\sqrt{2}[/tex] ft.
Step-by-step explanation:
Using the Pythagorean theorem we get 90^2 + 90^2 = d^2 where d is the distance from 1st base to third base. So, d^2 = 8100 + 8100 = 16200
d = [tex]\sqrt{16200}[/tex] = 90[tex]\sqrt{2}[/tex]. An easier way to do this is to recognize that the triangle formed by the diagonal of the baseball diamond and the two base paths from home to first and third is a 45-45-90 triangle. Therefore, the hypontenuse (diagonal) equals [tex]\sqrt{2}[/tex] times a leg (90 ft.)
s'ams mother is twice as old as sam in 12 years sam will be as old as his mother was 12 years ago how old are sam and his mother now? sam is?years old his mother is ? years old
Answer:
Sam is 24 years old and his mother is 48 years old.
Step-by-step explanation:
Equations
Let's call
x = Sam's current age
Since Sam's mother is twice as old as Sam:
2x = Sam's mother current age
x + 12 = Sam's age in 12 years
2x - 12 = Sam's mother age 12 years ago
These two last expressions are equal:
x + 12 = 2x - 12
Subtracting x and adding 12:
x = 24
2x = 48
Sam is 24 years old and his mother is 48 years old.
Answer:
Sam is 24 and his mom is 48
Step-by-step explanation:
40 over 100 Simplify the fraction below (14 points)
Answer:
0.4
Step-by-step explanation:
40 divided by 100= 0.4
4^4= pls i need some help
Hey there!
4^4
= 4 • 4 • 4 • 4
= 4 • 4 ➡️ 16
= 16 • 16
= 256
Answer: 256 ☑️
Good luck on your assignment and enjoy your day!
~ Amphitrite1040:)
The amount of cases in Gotham city is 540
people for the first 12 of 2020. In July, a spike at the rate
of 5.2 people for each day in the month hits. Additionally, the
joker has infected all of Arkham Asylum's 225 patients with the
virus. What month will you hit 1,000 cases of cases in Gotham?
Answer: October, the 10th month
Step-by-step explanation:
540/12 = 45[with this in mind , we can assume that this is how many people get infected per month, except for July, and some factors.]
July is special for it not only has the specific unqiue rate of 5.2 infections per day. with this in mind, lets multiply....
5.2 x 31 = 161.2And to top it off, we have another 225 infections to consider.
So with consideration of 161.2, 225, 540, and the fact that 45 people get infected on an average month, lets add....
161.2 + 225 + 540 = 926.2
926.2 + 45 = 971.2
971.2 + 45 = 1016.2
It only took until the 10th month of october to hit 1000.
John and Lucy take turns rolling two dice. If John rolls a pair larger than or equal to 10 he wins and the game stops. If Lucy rolls a pair strictly smaller than 10, she wins and the game stops. They keep rolling in turn until one of them wins. Suppose John rolls first. What is the probability that Lucy wins
Answer:
56.25%
Step-by-step explanation:
If John rolls first and Lucy rolls second, in order to find the probability that Lucy wins we need to multiply the probability that John's roll is less than 10 by the probability that Lucy's roll is less than 10. There are a total of 12 possible outcomes that can occur in a pair of dice, therefore John's probability of rolling less than a 10 would be [tex]\frac{9}{12}[/tex] which would also be the same probability of Lucy rolling smaller than a 10. Now we simply multiply this probability by itself...
[tex]\frac{9}{12} * \frac{9}{12} = \frac{81}{144}[/tex] or 0.5625
We can multiply this decimal by 100 to get the percentage probability
0.5625 * 100 = 56.25%
The probability of Lucy winning the game is 56.25%
PLEASE HELP IM BEGGING PLEASE!!!!!!!!!!
Answer:
1. C.
2. B.
Step-by-step explanation:
Hope This Helps!!! : )
You are building a doghouse for Fido, your loyal poodle. The blueprint of the doghouse uses a scale of 1 : 14. The floor of the doghouse measures 2" x 2.5" on the blueprint. b) The wood you are using for the floor costs $3.50 per square foot. How much will it cost to buy the material for the floor, assuming you can buy a piece exactly the right size? Show your work.
Photo attached please help
Answer:
Wow your on apec to?
Step-by-step explanation:
Wait could you show the whole question and the other answers please. I was going to say C.
I noticed a few others answers missing so I can't properly answer your question.
please help me
is importe
Answer:
11/24
Step-by-step explanation:
change it to :
20/24-9/24
then solve
Answer:
11/24
Step-by-step explanation:
10/12 - 3/8
10/12 + -3/8
5/6 + -3/8
20/24 + -9/24
20 + -9 / 24
= 11/24
Simplify (3^5)^2/3^-2
Answer:
the answer would be 531441
Step-by-step explanation:
Answer:
531441
Step-by-step explanation:
Which equation represents a line with a slope of -8 and
a y-intercept of 4?
y = -8x4
y = - 4x +8
y = -8x4
y = 8x+4
The equation y = -8x + 4 represents the given problem.
What is slope and y-intercept?'The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
An intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis.'
According to the given problem,
We know,
Equation of a line can be represented as,
y = mx + c, where, m = slope
c = y-intercept
Slope of the line = -8
Y-intercept of the line = 4
Therefore,
The equation of the line:
⇒ y = -8 + 4
Hence, we can conclude, the equation y = -8x + 4 represents the given line.
Learn more about slope and y-intercept here: https://brainly.com/question/20639041
#SPJ2
Simplify
(45x6y%) = (5x4y2
Answer:
0 would be your anwswer
Step-by-step explanation:
solve,,,,,,c-2= -1
please help !!!
Answer:
c=1
Step-by-step explanation:
add 2 to both sides
c-2+2=-1+2
then simplify
Solve the system of equations –2 + y = 14 and -5x – 7y=10 by combining the
equations.
Submit Answer
attempt out of 2
o
PLEASE ANSWER!!
Answer:
Step-by-step explanation:
-2+y=14
-5x-7y=10
y=14+2
y=16
-5x-7(16)=10
-5x-112=10
+112 +112
-5x=122
x=-24.4
A right triangle has legs with lengths of 10 and 24 inches. If the midpoints of all three sides of this triangle were connected, the resulting right triangle would have a hypotenuse with a length of?
(1) 5 inches
(2) 8 inches
(3) 12 inches
(4) 13 inches
The resulting right triangle would have a hypothenuse with a length of; 13 inches.
According to the question;
We are required to length of the resulting right triangle when the midpoint of all three sides of this triangle were connected.The two legs given have lengths; 10 and 24 inches.
When the midpoints are connected, the new right triangle would then have legs; 5 and 12 inches.
Therefore, from Pythagoras theorem;
Hypothenuse length,
l = √(12² + 5²)l = √169l = 13 inches.
Read more on hypothenuse:
https://brainly.com/question/2217700
a. If a spinner is spun twice, are the events
independent or not independent? Justify
your answer.
2
Anthony has 46 pieces of gum and eats 2 pieces per day. Javier has 54 pieces of gum and eats 3 pieces of gum each day. In how many days will Anthony and Javier have the same amount of gum?
Answer:
in 9 days
Step-by-step explanation:
..
there is a college student who wants to buy apples from the local store. the store generally sells about 5 apples for every 2 customers they serve. About how many apples will they sell in 6 hours if they serve 10 customers every hour?
Neuroinvasive West Nile virus is a severe disease that affects a person's nervous system. It is spread by the Culex species of mosquito. In a particular region in 2010 there were 629 cases of neuroinvasive West Nile virus out of a total 1,021 cases in a sample, and there were 486 neuroinvasive cases out of a total of 712 cases in a sample in 2011. Is the 2011 proportion of neuroinvasive West Nile virus cases more than the 2010 proportion of neuroinvasive West Nile virus cases
Answer:
Yes, the 2011 proportion of neuroinvasive West Nile virus cases is more than the 2010 proportion of neuroinvasive West Nile virus cases.
Step-by-step explanation:
2010 proportion:
629 cases out of 1021. So the proportion is:
[tex]p = \frac{629}{1021} = 0.616[/tex]
2011 proportion:
486 cases out of 712. So the proportion is:
[tex]p = \frac{486}{712} = 0.683[/tex]
0.683 > 0.616 so the 2011 proportion of neuroinvasive West Nile virus cases is more than the 2010 proportion of neuroinvasive West Nile virus cases.
Answer:
for ppl with edge its c
Step-by-step explanation:
edge 2022
The varsity of girls' basketball team has a ratio of seniors to juniors that 3 to 2. If there are 6 juniors how many seniors are on the team
Answer:
I think its 9
because seniors=3 and juniors=2 so, if there are now 6 juniors there would also be 9 seniors considering all they did was multiply by 3
In an A-Frame house, the roof extends to the ground level. If each side of the roof meets the ground at a 62° angle, what will be the measure of the angle where the two sides of the roof meet?
Answer:
36 degrees
Step-by-step explanation:
Angles in a triangle add up to 180.
180-62-62=36
36 degrees
Step-by-step explanation:
Pretend your friend is struggling to solve equations and has asked you for help.
Describe how you would solve the equation below for y: 5(3y - 2) + 6y = 11
A package of 11 slices of cheese costs $2.97. How much would a package with 18 slices cost at the same price per slice?
Answer:
$4.86
Step-by-step explanation:
2.97/11= .27 .27x18= $4.86
Multiply (5 + 4i)(3+ 2i)
Answer:
45
Step-by-step explanation:
Answer:
7 + 22i
Step-by-step explanation:
hope this helps
Find the unit rates. 4 ounces for $5.89
Answer:
Around $1.47
Step-by-step explanation:
To find the unit rate you need to have a denominator of one. (5.89/4 = x/1)
All you have to do is divide 5.89 by 4 and you get 1.4725 and if you round that to the nearest 100th place you get 1.47.
So 1 once cost $1.47
I hope this helps, and have a great day!
3. Solve for x.
3r + 11
9x-14
According to the table, if a married couple filing jointly earns $67,400, what will their taxes be to the nearest dollar?
A): $10,470
B): $10,590
C): $11,150
D): $11,320
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Dont worry about what I type hear the answer is C
What is the mean of the data set 14, 12, 23, 15?
Answer:
16
Step-by-step explanation:
(14+12+23+15)÷4=16
Answer:
16
Step-by-step explanation:
Hope this help
The price of an item has been reduced by 80%. The original price was $25. What is the price of the item now
Answer:
$5
Step-by-step explanation:
25-80%=5
D 7. What are two different ways to name the line below? Explain how you know
Answer:
[tex] \overleftrightarrow{GI} [/tex]
[tex] line m [/tex]
Step-by-step explanation:
We can decide to make the line by using the two points of the line only. Thus, the two points are G and I. We can name the line as [tex] \overleftrightarrow{GI} [/tex]
We can also simply call the line with a letter in small caps. Thus, the line can be called [tex] line m [/tex]