Answers
9514 1404 393
Answer:
31.243 units
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.
Sin = Opposite/Hypotenuse
sin(30°) = BE/100
BE = 100·sin(30°)
Then ...
Tan = Opposite/Adjacent
tan(58°) = BE/x
x = BE/tan(58°) = 100·sin(30°)/tan(58°)
x ≈ 31.243 . . . . units
_____
Comment on the figure
The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.
Related Questions
A grocery store stocks different flavors of peppermint sticks in 15 jars. The number of sticks in each jar varies from 0 to 49. Suppose you are creating a histogram to represent the situation. A. Which axis should be labeledas the num ber of jars for each flavor? B. What are possible intervals that COULD be appropriate for the histogram?
Answers
Answer:
The correct answers are:
A. The Vertical axis should be labelled as the Number of Jars for Each Flavour
B. an interval of 7 could be appropriate
Step-by-step explanation:
A. The number of jars for each flavour is the dependent variable against the flavour type, which is the independent variable, hence it is displayed on the vertical axis to show the height of the bars.
B. since the number of sticks in a jar vary from 0 to 49, dividing 49 by 7 will give 7 without a remainder, hence, an interval of 7 will be ideal for the plot, nd a total of 7 bars will be plotted. Intervals are: 0-7, 8-14, 15-21, 22-28, 29-35, 36-42, 43-49.
Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth.
Answers
Answer:
20
Step-by-step explanation:
Write the number 510 in scientific notation.
Answers
Answer:
500+10+0
Step-by-step explanation:
Answer:
5.1 x 102 in scientific notation
Step-by-step explanation:
The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease. Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10bStep 1
step1: To find a, take the number and move a decimal place to the right one position.
Original Number: 510
New Number: 5.10
step 2: Now, to find b, count how many places to the right of the decimal.
New Number: 5 . 1 0
Decimal Count: 1 2
Step 3: Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 5.1 (Please notice any zeroes on the end have been removed)
b = 2
Now the whole thing:
5.1 x 102
Step 4:
Check your work:
102 = 100 x 5.1 = 510
In which quadrant does the point with c ordinate (4, -3) lie?
Answers
Answer:
4
Step-by-step explanation:
hope the diagram helps haha
PLZ HURRY
What is the interval used in the graph shown below?
A.4
B.9
C.10
D.11
Answers
Answer:
10
Step-by-step explanation:
I'm stuck on that question too but I would say 10
Answer:
The answer is 10 :))
Step-by-step explanation:
a. 45:75
Simply the ratio
Answers
3/5
first we find gcf for both numinator and dinominator do the gcf is 15
next we divide both by15
then 45÷15=3 and 75 ÷15=5
so the answer is 3/5 or 3:5
What is the value of x?
Answers
Answer:
the value of x=69 ft approx.
Answer:
[tex]\Large \boxed{\sf 69.02 \ ft}[/tex]
Step-by-step explanation:
Solve for w using Pythagorean Theorem
[tex]\displaystyle w=\sqrt{77^2-22^2} =33\sqrt{5}[/tex]
Solve for z using Pythagorean Theorem
[tex]\displaystyle z=\sqrt{(87.5)^2-(33\sqrt{5} )^2} = 47.02[/tex]
Find value of x
[tex]x=VY+YK[/tex]
[tex]22+47.02=69.02[/tex]
Bob wants to attend a four-year college that has an annual tuition of $10,100. Bob has saved $11,300 for college. Bob is going to use a student loan to pay for the rest. How much does he need to borrow?
Answers
Answer:
29,100
Step-by-step Explanation
Multiply the annual tuition by 4. then subtract that by what he saved
Task 9
Here is an equation:
15(x-3)/5 = 3(2x-3)
Solve the equation by using the distributive property first.
Then solve without using the distributive property and
check your solution.
Answers
Answer:
x=0
Step-by-step explanation:
ima break it apart so it is easier to understand, going from left to right.
15(x-3)/5 you will distribute the 15 to the x and the -3
15x-45/5 you will divide 5 to both the 15x and the 45
3x-9 it will now be combined with the right side
now on the right side:
3(2x-3) you will distribute the 3 to the 2x and -3
6x-9 will now be combined with the left side
combining the left and right.
3x-9=6x-9 combine both 'x' es and constants
3x-6x=9-9 solve
-3x=0 divide
-3x=0 /-3 (all of it will be divided by 3 cuz what you do to one side, you gotta do to the other)
x=0
without distributive property
15(x-3)/5=3(2x-3) remove the parenthesis from the left side
3(x-3)=3(2x-3) distribute the 3 through the parenthesis on both sides
3x-9=6x-9 the rest is the same as in the combined section up above.
i hope this helps
The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A
Now , the value of A is given by
15 ( x - 3 ) / 5 = 3 ( 2x - 3 )
By using the distributive property , we get
On opening the bracket , we get
( 15x - 45 ) / 5 = 6x - 9
Divide by 5 on LHS , we get
3x - 9 = 6x - 9
Subtracting 6x on both sides of the equation , we get
-3x - 9 = - 9
Adding 9 on both sides , we get
-3x = 0
x = 0
Now , without using distributive property , we get
The equation is
15 ( x - 3 ) / 5 = 3 ( 2x - 3 )
Divide by 5 on both sides , we get
3 ( x - 3 ) = 3 ( 2x - 3 )
Divide by 3 on both sides , we get
x - 3 = 2x - 3
Adding 3 on both sides of the equation , we get
x = 2x
Subtracting x on both sides , we get
x = 0
Hence , The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Evaluate the expression.
I -3 I
Answers
Answer: 3
Step-by-step explanation:
Answer:
the answer is 3
Step-by-step explanation:
Miguel is 46 years old .He is 4 years older than thrice his son's age. Find the age of his son.
Answers
Answer:
42
Step-by-step explanation:
46-4=42
Answer:
son is 14
Step-by-step explanation:
s = son's age
46 = 4 + 3s
42 = 3s
s = 14
Someone please help (urgent)
Answers
Answer:
6.5 cm
Step-by-step explanation:
0.5/0.25 = 2
13/2 = 6.5
name the corresponding angle to angle 3 ! Please help:) will mark b if correct!!
Answers
Answer:
Angle 1
Step-by-step explanation:
corresponding angles are angles that are congruent and on the same side if that makes sense
Look at image for reference
Need help don’t know how to do this
Answers
I dont get this pls help i need it ASAP
Answers
Find the y-intercept of the graph.
Answers
Answer: The y-intercept would be -2
Step-by-step explanation: To find a y-intercept you just need to find the point at which the line crosses the y axis (which is the vertical one.) We know its -2 also because of the unit amount of the graph itself. The 5 at the top of the y axis is at the 5th box which means that each vertical unit represents 1. This is how I know my answer is correct. I hope this answer has been of use to you and if you have further questions please do not hesitate to reach out :)
Gina wants to go to the water park with her friends. They have a total of w dollars to buy 5 tickets. Each ticket costs 15 dollars. (write an equation)
Answers
Answer:
5 * w = 15
w= 3
Hope this helps!
Answer:
5•15=w
(Is this subtracting from the total?)
was there more to this question that you didn’t include?
Which expression is equivalent to 2(7x-7)?
Answers
Multiply using the distributive property.
14 x − 14
Hope this helps you!
Answer:
14x-14
Step-by-step explanation:
2(7x-7)=14x-14
i need help can anyone help???
Answers
Answer:
x=75.4
360-(13.2*2)=333.6
333.6=(8+4)4
333.6=32+4x
301.6=4x
***x=75.4***
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLY IF YOU GET IT RIGHT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The probability of rolling a six on this cube is A. 1/6
Step-by-step explanation:
Just... Think about it. The cube has six sides (the total, or denominator). There is only one six (the numerator). So, the answer is 1/6.
Have a wonderful day/night! <3
(1.) 4(x +2)=28
(2.) 2(x+4)=28
what dose x repsent
Answers
Simplifying
4(x + 2) = 28
Reorder the terms:
4(2 + x) = 28
(2 * 4 + x * 4) = 28
(8 + 4x) = 28
Solving
8 + 4x = 28
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 4x = 28 + -8
Combine like terms: 8 + -8 = 0
0 + 4x = 28 + -8
4x = 28 + -8
Combine like terms: 28 + -8 = 20
4x = 20
Divide each side by '4'.
x = 5
Simplifying
x = 5
2. 2 (x+4)=28
Simplifying
2(x + 4) = 28
Reorder the terms:
2(4 + x) = 28
(4 * 2 + x * 2) = 28
(8 + 2x) = 28
Solving
8 + 2x = 28
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 2x = 28 + -8
Combine like terms: 8 + -8 = 0
0 + 2x = 28 + -8
2x = 28 + -8
Combine like terms: 28 + -8 = 20
2x = 20
Divide each side by '2'.
x = 10
Simplifying
x = 10
Which graph best show a train pulling into a station to drop off its passengers?
Answers
Answer:
The answer is B
Because the train will stop and speed decreases with increasing time
Explanation:
i cant see the last graph but im pretty sure its B because you are slowing down in order for the train to come to a stop
4. 12 ___ -15 = 27
5. -18 ___ -¾ = 24
Answers
Answer:
4) 3.5
5) -1.375
Step-by-step explanation:
plug in x for the missing number and solve
Answer:
4. 12 (3.5) -15 = 27
5. -18 (445.5) -¾ = 24
Step-by-step explanation:
4. 12? -15 = 27
12? = 42
? = 3.5
5. -18? -¾ = 24
-18? = 24 + 3/4
-18? = 96/4 + 3/4
-18? = 99/4
? = 891/2 or 445.5
A shop is having a sale all items are reduced work out the sale price of an item normally priced at £60
Answers
Question:
A shop is having a sales all items are reduced by 25%. Work out the sale price of an item normally priced at £60?
Answer:
The new price is £45
Step-by-step explanation:
Given
[tex]Sales\ price = \pounds 60[/tex]
[tex]Rate = 25\%[/tex]
First, calculate the reduction
[tex]Reduction = Rate * Sales\ price[/tex]
[tex]Reduction = 25\% * \pounds 60[/tex]
[tex]Reduction = \pounds 15[/tex]
The new price is:
[tex]New = Sales\ price - Reduction[/tex]
[tex]New = \pounds 60 - \pounds 15[/tex]
[tex]New = \pounds 45[/tex]
44.99 with a 9.25 sales tax, what is the total price?
Answers
total cost: $49.21
STEP BY STEP:
9.25 percent sales take in this case is $4.16, so just add that to total and get $49.11
Hope this helps!
India has $100 and saves $18. each month China has $60 and saves 20 each month when will the girls have the same amount of money
Answers
Sarah took the advertising deparſment from her company on a round trip to meet with a potential client. Including Sarah a total of 11 people took the trip. She was
able to purchase coach tickets for $240 and first class tickets for $1100. She used her total budget for airfare for the trip, which was $6080. How many first class
tickets did she buy? How many coach tickets did she buy?
Answers
Answer:
Sarah bought 7 coach tickets and 4 first class tickets.
Step-by-step explanation:
From the information provided, you can write the following equations:
x+y=11 (1)
240x+1100y=6080 (2), where:
x is the number of coach tickets
y is the number of first class tickets
In order to find the value of x and y, first you have to solve for x in (1):
x=11-y (3)
Now, you have to replace (3) in (2) and solve for y:
240(11-y)+1100y=6080
2640-240y+1100y=6080
860y=6080-2640
860y=3440
y=3440/860
y=4
Finally, you can replace the value of y in (3) to find the value of x:
x=11-y
x=11-4
x=7
According to this, the answer is that Sarah bought 7 coach tickets and 4 first class tickets.
PLEASE HELPP
it isn't 62 I already tried it
Answers
Answer:
112°
Step-by-step explanation:
50 + 62 = 112
The point M(6,-9) is reflected over the x-axis. What are the coordinates of the resulting point, M’?
Answers
Answer:
(6 , 9)
Step-by-step explanation:
_______ :21=5:7
10:100=_______:200
12:28=_________:7
48:_________=8:9
36:75=12:________
56:120=_______:8
2:4=________:2
45:________=15:20
_______:65=9:13
180:210=_______:35
63:_______=7:8
48:72=4:_______
________:100=6:10
36:108=6:________
3:________=1:3
_________:180=8:20
81:126=9:_______
________:33=2:3
Answers
Answer:
Step-by-step explanation:
1) 10:18=5:9
2) 15:21=5:7
3) 10:100=20:200
4) 12:28=3:7
5) 48:54=8:9
6) 36:75=12:25
7) 56:120=3.733:8
8) 18:24=6:8
9) 2:4=1:2
10) 45:60=15:20
11) 45:65=9:13
12) 180:210=30:35
13) 63:72=7:8
14) 48:72=4:6
15) 60:100=6:10
16) 36:108=6:18
17) 3:9=1:3
18) 72:180=8:20
19) 81:126=9:14
20) 22:33=2:3
Answer:
1. 15 :21=5:7
2. 10:100=20:200
3. 12:28=3:7
4. 48:54=8:9
5. 36:75=12:25
6. 56:120=3.73..:8
7. 2:4=1:2
8. 45:60=15:20
9. 45:65=9:13
10. 180:210=30:35
11. 63:72=7:8
12. 48:72=4:6
13. 60:100=6:10
14. 36:108=6:18
15. 3:9=1:3
16. 72:180=8:20
17. 81:126=9:14
18. 22:33=2:3