Answer:
these are triangle problems, they are difficult unless you keep in mind that there is an invisible triangle and you use the Mnemonic SOH CAH TOA to keep sin, cos, and tan, straight..
Step-by-step explanation:
what do we know about the imaginary triangle that is being made from Susan to the lighthouse? that from Susan's feet to the lighthouse base is 200 m so that side of the imaginary triangle is 200 meters.. got it... Susan's eyes are 1.22 meters up and that her angle of looking up at the top of the lighthouse is 9 degrees.. okay .. we have enough info to solve this. B/c we have an angle and also the adjacent ( next to ) side to that angle , great
B/c we have the adjacent side and the angle.. and we want to know the Opposite side.. which will be the height of the light house, use one of the SOH CAH TOA formulas for those three pieces of info in it.. I see that that TOA has all of those. Tan(Ф)= Opp / Adj
Tan(Ф) is our angle
Opp is the Opposite side that we want to find
Adj is the Adjacent side that we know.. 200
Tan(9)=Opp / 200
use algebra to rearrange our formula
Tan(Ф)*Adj = Opp
Tan(9)*200 = Opp
I'll use my calculator to figure out what tan(9) is b/c I don't have that memorized :P and multiply that by 200
31.677 m
Also.. b/c we just figured out the triangle from Susan's eyes to the lighthouse.. we have to add her eye height off the ground to our answer
31.677+1.22= 32.897
yeah 32.9 looks like the right answer
A car salesman gets paid $3,750 each month plus 8.5% commission on his total sales. This month he sold 5 cars for a total of $138,000. What are his monthly total earnings?
The car salesman total earnings if he sold 5 cars for a total of $138,000 is $15480.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.
Let y represent the total money the salesman earns for selling a total of $x sales. Hence:
y = 0.085x + 3750
If the salesman makes a total of $138000, hence:
y = 0.085(138000) + 3750
y = 15480
The car salesman total earnings if he sold 5 cars for a total of $138,000 is $15480.
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In March, Terell weighed 104 1/3 pounds.
In June, he weighed 109 1/2 pounds.
How much weight did Terell gain
between March and June?
Answer:
Terell gained 5 and 1/6 pounds between March and June
Step-by-step explanation:
1. 109 - 104 = 5
2. Convert 1/3
1/3 = 2/6
3. Convert 1/2
1/2 = 3/6
4. Subtract them
3/6 - 2/6 = 1/6
(Full equation: 109 and 1/2 - 104 and 1/3 = 5 and 1/6 pounds)
what is 0.25a−2.1=0.5a−4.1
Please tell me! Is this answer right?
Answer:
which one
Step-by-step explanation:
express the ratio 60cm to 20m
Answer:
3 cm : 1 cm
Step-by-step explanation:
1. 60 : 20
2. divide 10 on both sides = 6 : 2
3. divide by 2 on both sides = 3 : 1
4. 3 cm : 1 cm
I'm so sorry, I just read the ratio is 60 cm to 20 M
So edit:
convert both into a unit, we'll take m.
1 cm = 100 m
so 60 x 100 = 60000 m
= 60000 m : 20 m
= divide by 20 in both sides...
= 3000 m : 1 m
f (x) = 5x³
g (x) = ³√x÷5
Answer:
f = 0,that symbol on bottom 5/5 g= 0, 9/25 i think
Step-by-step explanation:
John is 4 years younger than twice Michael's age. Michael is John's younger brother. John is 18 years old. How old is Michael? Choose the equation that represents the situation.
Answer:
18=2m-4
Step-by-step explanation:
18 is the age of John. M represents the age of Michael. John is older than Michael so instead of 18=4-2m it is 18=2m-4. If you do 8=4-2m it will be inccorect because it will give you a negative. Michael is 11 years old.
Which of these expressions is equivalent to -2(x - 5)?
-2x + 5
-2x - 10
-2x + 10
-2x-5
Question 3
Mathematics
The equivalent expression is: -2x + 10. therefore the correct option is C.
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
From the distributive property;
-2(x - 5)
Then, multiply -2 and -5
-2 * x = -2x
-2 * -5 = 10
because two negatives make a positive
Therefore the answer would be -2x+10.
Hence,The equivalent expression is: -2x + 10. therefore the correct option is C.
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PLEASE HELP, ASAP correct me if I’m wrong on Letter A and help on the rest please
Answer:
uygtycyniuhuy
Step-by-step explanation:
the ratio of the p is 31.5 and the area is 80 correct me if im wrong but if u need any help im always here :)
can you plz give me the answer to this
Answer:
b
Step-by-step explanation:
Which values of a, b, and c correctly represent the answer in simplest form?
4 and one-half divided by 1 and one-fourth = a StartFraction b Over c EndFraction
Answer:
b.
Step-by-step explanation:
Adam drove 448 miles in 7 hours. If he drove at a constant rate, how far did he travel each hour? (Please answer ASAP)
Answer:
64 miles per hour
Step-by-step explanation:
448/7=64 miles
Constant rate you can just divide the number by the time in this particular situation.
Part A
Find the y-intercept, b, and the slope, m, of the line.
Show your work.
Answer
Part B.
Write the equation of the line.
Equation
I NEED OT PLZZZZ HELLO???
Rewrite equation in slope intercept form, if necessary. Then determine whether the lines are parallel. Explain. 23. Y = -x + 6 24. Y - 7x = 6 25. 3x + 4y = 12 26. 2x + 5y = -1 x + y = 20 y + 7x = 8 6x + 2 = 6 10y = -4x - 20
Answer:
Step-by-step explanation:
Slope intercept form
[tex]y= mx + c[/tex]
m=slope
c= intercept
1) y= -x + 6
2) y=7x + 6
3) y= -3/4x + + 3
4) y= -2/5x - 1/5
5) y= -x + 20
6) y= -7x + 8
7) y= -3x + 3
8) y= -2/5x -2
Line 1 and 5 are parallel because both have the same slope of -1
line 4 and 8 are also parallel as the their slopes are -2/5
I need help with this please. This is a 3rd grader's math assignment.
Answer: 3 x 13 is 39
Step-by-step explanation:
you can use the distributive property by breaking it up into smaller parts and adding for example (6+7) + (13+6) +7
Answer: 3 x 13 is 39
Step-by-step explanation:
you can use the distributive property by breaking it up into smaller parts and adding for example (6+7) + (13+6) +7
Can anyone help ? Algebra ..
Two ice cream shops in the mall sell sundaes. Let x equal the number of scoops of ice cream. Larry's Ice Cream Shop's price is represented by the expression 1.2x + 1. Ice Cream World's price is represented by the expression 0.4(0.3x + 1) . Which statement is true?
Choose the correct answer below.
A.
The two shops charge the same price for a 3-scoop sundae.
B.
The two shops charge the same price for a 2-scoop sundae.
C.
The two shops never charge the same price for sundaes with the same number of scoops.
D.
The two shops always charge the same price for sundaes with the same number of scoops.
Answer:
the answer is D.
Step-by-step explanation:
this is because if you distribute 0.4 times 0.3 you get 0.12.
then you are left with 0.12+1 which means both shops charge the same price.
Terrell has already taken 34 pages of notes on his own, and he will take 1 page during each
hour of class. After attending 11 hours of class, how many total pages of notes will Terrell
have in his notebook?
Answer:
45 pages of notes
Step-by-step explanation:
34+11=45
how do you solve it and how do you explain?
Answer:
so the answer is 30
now to find the answer we just need to do this...
step 1: we need to simplify the equations from both sides.
[tex]\frac{-2}{5} x = -12[/tex]
then we multiply on both sides by [tex]\frac{5}{-2}[/tex]
[tex](\frac{5}{-2}) *(\frac{-2}{5}x )= (\frac{5}{-2} )*(-12)[/tex]
which equals x= 30
Step-by-step explanation:
hope this helps!!
Maddie, Jaeahna, Chelsea and Onella swam in the relay for Colyton at district . If the complete lap times added to 137.009 seconds. What was the average lap time for each swimmer?
Answer:
34.25 seconds
Step-by-step explanation:
Given that :
Summation of the complete lap time of each of the four swimmers = 137.009 seconds
The average lap time for each of the four swimmers will be :
The average of the total lap time ;
Total lap time / number of swimmers
= 137.009 / 4
= 34.25225 seconds
Hence, each swimmer has an average lap time of 34.25 seconds
How would you write 5^-3?
Answer:
You would make your number into a fraction to make your exponent positive which would be 1/5^3, then you simplify your exponent to get 1/125.
Step-by-step explanation:
5x^2-22x+8=0
can you find the roots?
Step-by-step explanation:
Answer:
x = [tex]\frac{2}{5}[/tex], x = 4
Step-by-step explanation:
Given
5x² - 22x + 8 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 5 × 8 = + 40 and sum = - 22
The factors are - 20 and - 2
Use these factors to split the x- term
5x² - 20x - 2x + 8 = 0 ( factor the first/second and third/fourth terms )
5x(x - 4) - 2(x - 4) = 0 ← factor out (x - 4) from each term
(x - 4)(5x - 2) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
5x - 2 = 0 ⇒ 5x = 2 ⇒ x = [tex]\frac{2}{5}[/tex]
Hi, my name is Leah and I am in 5th grade. I need some help with my math homework and if you could help I would really appreciate that. :)
So the question is Logan estimated 5,861 + 1,278 using front-end estimation. What did he add?
A. 5,000 + 1,000
B. 5,000 + 2,000
C. 6,000 + 1,000
D. 6,000 + 2,000
Answer:
D
Step-by-step explanation:
If it is over 500 you round up. If its lower than 500 you round down.
Answer:
Hi Leah that answer is 6,000 + 2,000=
Step-by-step explanation:
Hope this helps :)
What is the equation in slope - intercept form of the line that has a slope of 0.25 and passes through the point (6, -8)?
Step-by-step explanation:
y-b=m(x-a)
y--8=1/4(x-6)
y+8=1/4(x-6)
4y+32=1(x-6)
4y+32=x-6
4y=x-38
y=1/4x-38/4
or -x+4y+38=0
or -×+4y= -38
The cost of 24 caps is $150. Find the cost of each cap.
Answer:
6.25
Step-by-step explanation:
Divide 150 $ to 24 caps on your calculator
If the cost of 24 caps is $150, then the cost of each cap is $6.25.
What is unitary method?We know that a single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method. We typically use this technique for math calculations. We are able to locate the missing value using the unitary method.
How to solve it?Given that the cost of 24 caps is $150.
Then the cost of 1 cap is 150/24 = $6.25
Therefore we can conclude that If the cost of 24 caps is $150, then the cost of each cap is $6.25.
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question and choices in photo. need help ASAP
Answer:
B!!!!
Step-by-step explanation:
It is B because
X is the students.
Y for teachers.
the total of tickets sold are 530.
it can't be C because they switch the 3 and 4, so sorry.
Solve the following system of equations 2x + y equals 1 -4x + y equals negative 1
Answer:
d
Step-by-step explanation:
Jayden writes 1/8 page in 1/3 of a minute. How much time will it take Jayden to write a full page?
Answer:
80 seconds
Step-by-step explanation:
Did the math in my head
Look at the picture, and please hurry!
Answer:
Step-by-step explanation:
he is poooooooooooooorrrrrrrrrrrrrrrrrr
Type the SLOPE (type only numbers).
Answer:
-5/1
Step-by-step explanation:
The y-intercept is 56, and since it will keep on dropping, it will be -5
Answer:
5/1
Step-by-step explanation:
