Answers
9514 1404 393
Answer:
x ≈ 32.4
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between angle, adjacent side, and hypotenuse:
Cos = Adjacent/Hypotenuse
cos(72°) = 10/x
x = 10/cos(72°)
x ≈ 32.4
Related Questions
Task 3:
A frog sitting on a stump 4 feet high hops off and lands on
the ground. During her leap, the frog's height h in feet is
given by the equation h = -0.5d2 + d + 4, where d is the
horizontal distance in feet from the base of the stump.
A: What was the frog's maximum height?
B: How far from the stump did the frog land?
C: What was the frog's horizontal distance
from the log at her maximum height?
Answers
Answer:
A. 4.5 ft
B. 4 ft
C. 1 ft
Step-by-step explanation:
If you pretend that h is replacing y and d is replacing x and you would graph the equation, then you would get a parabola that opens down.
You would need to find the vertex of the parabola. The ordered pairs would be (d, h) instead of the normal (x, y).
A. The maximum height will be the h value of the vertex
B. Let h = 0 and solve the equation for d. That will give you distance from the stump that the frog landed.
C. The distance from the log at the maximum height is the d value of the vertex
So, that is what is needed to be done.
Without me going thru all the work, the vertex is (1, 4.5) and the solutions to the equation when h = 0 are 4, -2 (discard -2 since a distance cannot be negative)
So the answer to A is 4.5 ft.
The answer to B is 4ft.
The answer to C is 1 ft.
Now, can you find the vertex on your own and can you solve the equation when h = 0? I hope so. OK?
A function assigns the values. The maximum height will be when the horizontal distance is 1feet from the log.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) The maximum height of the frog,
h = -0.5d²+d+4
dh/dd = -0.5(2d)+1
dh/dd = -d+1
0=-d+1
d = 1
The maximum height will be when the horizontal distance is 1feet from the log.
h = -0.5(1)² + 1 + 4
h = -0.5 + 1 + 4
h = 4.5
Hence, the maximum height of the frog will be 4.5 feet.
B.) The Distance between the frog and the stump when the frog land can be found,by putting h=0.
0 = -0.5(d)²+ d + 4
d²-2d-8=0
d²-4d+2d-8=0
d(d-4)+2(d-4)=0
d = 4, -2
Since the distance can not be negative, the frog is 4 feet away from the stump when the frog land.
C.) The maximum height will be when the horizontal distance is 1feet from the log.
Learn more about Function:
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question
A 25 gram sample of a substance that's used for drug research has a k-value of 0.1208.
Find the substance's half-life, in days. Round your answer to the nearest tenth.
Answers
Answer:
The answer is 5.7!
Step-by-step explanation:
Please help me with this. Its easy but I'm du.mb.
Answers
Answer:
1. Greatest Common Factor
2. Fraction
3. Simplest Form
Step-by-step explanation:
2. Fraction
3. Simplest Form
The ratio of girls to boys in a gardening club was 4:2. There were 12 boys. How
many girls were there in the club?
Answers
Answer:
24
Step-by-step explanation:
girls:boys = 4:2
12 = 6 x 2
so
girls = 6 x 4 = 24
and lets simplify to check
24:12 = 24/6:12/6 = 4:2
pick all that apply plz I need help
Answers
Answer: D
Step-by-step explanation: You need to divide the figure into 2 parts. You need to ignore 13 m And use the other numbers. Figure A is 9x3x4 and Figure B is 7x4x4 because the other 4 is at the bottom. I hope this helps. Good luck!
Please help me with these questions ..... sorry if it’s a lil blurry
Answers
Answer:
1. 8
2. 7
3. 8/3
4. c 27
Step-by-step explanation:
1. Find 1 26/2=13 104/13=8
Just find the unit rate to help you solve
8.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
A. 10; your car travels for 10 hours.
B. 212; your car travels 212 miles.
C. [tex]\frac{53}{1}[/tex], Your car travels 53 miles every 1 hour.
D. [tex]\frac{1}{53}[/tex]; Your car travels 53 miles every 1 hour.
Answers
Answer:
The answer is D) The car travels 53 mph(Miles Per Hours).
212/4 = 53
318/6 = 53
424/8 = 53
530/10 = 53
Step-by-step explanation:
Answer:
C) rate of change is 53, your car travels 53 miles every 1 hour .
Step-by-step explanation:
Given : Table for time and distance.
To Find : The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
Solution : We have given that Table for time and distance.
rate of change= (change in y)/(change in x) .
rate of change=(212)/(4) .
rate of change = 53.
rate of change= (318)/(6).
rate of change = 53
rate of change = (424)/(8).
rate of change = 53.
rate of change = (530)/(10) .
rate of change = 53.
Therefore, C) rate of change is 53, your car travels 53 miles every 1 hour .
May someone please help me with this :)
Answers
Answer:
24
Step-by-step explanation:
6+8=14 14+10=24
Sammy and Jean are packing bags of candies for a party. They have 152 candies and want to put 12 candies in each bag. Write a fraction to show how many bags can they fill.
Answers
Answer:
You'll be able to 12 & 6/10 of the bags
Step-by-step explanation:
The rounded version is 12 but since there is a decimal you'll then translate it into a fraction I got the answer I did by dividing 152 by 12 then getting the answer of 12.6666~ I translated the decimal into a fraction
Answer:
6/10 I believe :)
Step-by-step explanation:
30 points please help!
Answers
Answer:
function:
graph and table A and B
not function:
mapping A and B
28 girls and 38 boys volunteer to plant trees at a school. their teacher wants to put them in groups that have girls AND boys. how many groups can the teacher make
pleaseeeeeeeeeeeeeeeeeeeeeeee solve i have a headache and cant focus so please help me out also please do step by step
Answers
Answer:
so 14 can go into 28, 2 times and 19 can go into 38 2 times so the techaer can make 2 group with 14 girls and 19 boys in each group.
Step-by-step explanation:
Math 5th grade help
Answers
Answer:
1/4= 3/12-1/12 which is 2/12 or 1/6 cuz 3/12 is bigger than -1/12
Step-by-step explanation:
Answer: two twelvths
Step-by-step explanation: 1/4=3/12 and then 1/12=1/12. The dimonimator always stay's the same if they are all or both the same number. so dimonimator is 12 and then 3-1=2 so the numiraitor
Sorry if I did the wrong spelling or the answer!
thanks,vivid1388
ivy has opened a new bake shop in town, Ivy sells pies for 13$ and spends 1,103 in rent per month . How many pies does Ivy need to sell to make 1,146 in profits this month?
Answers
Answer: She needs to sell exactly 173 pies.
Step-by-step explanation: Don't ask me how, but I'll tell you this 1. it wasn't easy and 2. It took me FOREVER. So conclusion- be happy.
Todd moved 1/3 of his yard in the morning and then 3/6 of his yard in the afternoon. How much yard did Todd move so far?*
Answers
Answer:
5/6 of his yard
Step-by-step explanation: 1/3+3/6=5/6
On a certain hot summer day, 431 people used the public swimming pool. The daily prices are 1.50 for children and 2.00 for adults.The receipts for admission totaled to $825.50. How many children and how many adults swam at the public pool that day?
Answers
Answer:
the no of children and no of adults swam that day is 73 and 358 respectively
Step-by-step explanation:
Let us assume the no of children and no of adults swam that day be x and y
Now as per the question
The following equations are
x + y = 431
we can write as
x = 431 - y
1.50x + 2y = $825.50
1.50(431 - y) + 2y = $825.50
646.50 - 1.50y + 2y = 825.50
0.5y = 179
y = 358
And x = 431 - 358
= 73
Hence, the no of children and no of adults swam that day is 73 and 358 respectively
Divide $28 amongst three people so that their shares are in the ratio 5 : 8 : 1
Answers
The second- 16$
The third- 2$
Give the number that is 2 less than its own absolute value
Answers
Answer:
-1
Step-by-step explanation:
l -1 l = 1
1 - -1 = 2
i HOPE U UNDERSTOOD!! :)
Plzzzzz helpp mee
3. Find the slope of the line that contains (0, -3) and (5,-5).
Answers
I know how to do the line but I don’t know how I would show you.
Im so confused help fast!!
Answers
Answer:
It's the first answer choice
Step-by-step explanation:
l = prt
Use algebra to solve for p:
divide each side by rt to get p by itself.
Which property of equality is used to solve LaTeX: -15.75=2.5x− 15.75 = 2.5 x ?
Answers
Answer:
any want zo. om. id=2139350377
pass=7neBw6
Please help answer correctly !!!!!!!! Will mark Brianliest !!!!!!!!
Answers
Answer:
Step-by-step explanation:
(4,3) and (6,9)
difference of x-coordinates = 6-4 = 2
difference of y-coordinates = 9-3 = 6
distance between points = √(2²+6²) = √40 = 2√10
The average temperature in the South Pole in January is about -18 °F. The average temperature in Tennessee in January is 47°F. What is the difference in the temperatures?
Answers
Answer:
65 degrees Fahrenheit
Step-by-step explanation:
47 - (-18) = 65
Answer: I believe it is 65
what is the simpler form of (6 + m^2) (6 -m^2)
Answers
Answer:
=36-m^4
Step-by-step explanation:
the sum of two rational numbers is -8 1/4. if one of the numbers is -5 2/3, find the other number.
Answers
Answer:
-2 7/12
Step-by-step explanation:
Let x represent the unknown number.
x + (-5 2/3) = -8 1/4
Adding 5 2/3 to both sides of the equation tells us ...
x = 5 2/3 -8 1/4 = -2 7/12
The other number is -2 7/12.
_____
The difference can be found as ...
-(8 1/4 -5 2/3) = -(8 3/12 -5 8/12) = -((8 -5) +(3/12 -8/12)) = -(3 -5/12)
= -(2 7/12)
I can't figure this out, anyone know??!!!
Answers
Answer: (a+b)2=9. a2+2ab+b2=9
Step-by-step explanation:
A ( 2, -2)
B ( 3, -5)
C (-5, 3)
D (-2, 2)
Help please
Answers
Answer:
A. (2, -2)
Step-by-step explanation:
if you find the median between (-1,3) and (5,-7) you get (2,-2).
Answer:
A) (2,-2)
Step-by-step explanation:
To find midpoint:
(x+x/2, y+y/2)
-1+5/2 =2
3+-7/2=-2
Triangle EFG has vertices E(2,1), F (6,-1) and G (1,-5) find the points of EFG after 180 degrees rotation
Answers
Answer: The points of EFG after 180 degrees rotation will be : (-2,-1), (-6,1), (-1, 5).
Step-by-step explanation:
Given: Triangle EFG has vertices E(2,1), F (6,-1) ,and G (1,-5).
According to 180 degrees rotation rule:
[tex](x,y)\to (-x,-y)[/tex]
Image of E : (-2,-1)
Image of F = (-6,-(-1)) = (-6,1)
Image of G = (-1,-(-5)) = (-1, 5)
Hence, The points of EFG after 180 degrees rotation will be : (-2,-1), (-6,1), (-1, 5).
Find the slope of the line that passes through (1, 3) and (10, 10).
Answers
Answer:
m=7
9
Step-by-step explanation:
10-3
10-1 answer 7/9
The chart below shows the number of miles Sam drove each day for two weeks.
Calculate the mean of week 2.
60
59
58
63
Answers
420/7= 60
the answer is 60
Maria’s mom bar 836 pack of water bottles at a supermarket each bottle has 500 ML of water how many liters of water is this
Answers
Answer:
Stop using this for your math answers.
Step-by-step explanation:
Get Brainlyer (pun intened)