hey you doing today bye bye 293
Given a 30-60-90 triangle with a hypotenuse of 11 mm solve for the other sides. (Explain)
Answer:
Need a calculator
Step-by-step explanation:
This will be hard to explain without the ability to draw an example.
The one thing you can memorize is SOH - CAH - TOA
This stands for SIN(Opposite/Hypotenuse), COS(Adjacent/Hypotenuse) and TAN(Opposite/Adjacent).
When you know the angles of a right triangle and at least one side length, you can get the length of all the sides.
So a right triangle has two legs (sides) and the hypotenuse. If you use the first angle ( 30 degrees) you can use the formulas above to calculate the side length.
Pick either the SOH or the CAH. Let's use SOH and write out the equation:
SIN(30 degrees) = Opposite Side divided by the Hypotenuse (11mm)
You can solve for the Opposite Side by multiplying both sides of the equal sign with 11mm. You end up with SIN(30 degrees) X 11m = Opposite Side.
So the side directly across from the 30 degree angle should be 5.5mm
You can do the exact same thing with the 60 degree angle.
SIN(60 degrees) = Opposite Side divided by Hypotenuse (11mm) OR
SIN(60 degrees) X 11mm = Opposite Side
This comes out to about 9.5mm
You can check the math by using the other equation CAH
Start with the 30 degree angle and solve for the adjacent side. This is the side that is touching the 30 degree angle. Equation will be
COS(30 degrees) X 11mm = Adjacent Side or about 9.5mm
The other equation will give you the side that is touching the 60 degree angle.
COS(60 degrees) X 11mm = Adjacent Side or 5.5mm
You can also use one last thing to check your math. The Pathagorean Theorem says in a right triangle [tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex] where C is the hypotenuse and A and B are the two sides.
[tex]5.5^{2}[/tex] + [tex]9.5^{2}[/tex] should equal [tex]11^{2}[/tex]. Give or take a few decimal places, it's almost exactly 11 (10.977 to be exact).
12(4x -1/4x ) 2 + 5(4x-1/4x) - 2
solve it
school sold 2 adult tickets and 10 child tickets for a total of $56. The school took in $52 on the second
The school that Elisa goes to is selling tickets to a fall musical. On the first day of ticket sales the
second day by selling 4 adult tickets and 5 child tickets. What is the price each of one adult
ticket and one child ticket?
Answer:
x+y=4+8=12
$12 for one of each
or if you mean indivually (the wording confused me)
$4 for child, $8 for adult
Step-by-step explanation:
x=adult
y=child
2x+10y=56
4x+5y=52
iin order to be able to subtract values and find x and y im going to multiply 4x+5y=52 by two and get 8x+10y=104
8x+10y=104
-2x+10y=56
6x=48 divide each side by 6
x=8
plug 8 back into an equation to find cost of y
2(8)+10y=56
-16 -16
10y=40
y=4
write your answer here
[tex]0.0063 = 63 \times {10}^{ - 4} = 6.3 \times {10}^{ - 3} \\ [/tex]
Done... ♥️♥️♥️♥️♥️
Answer:
what she said ^^ :)
When finding the product, what is the first step?
(-c)x(-2a)x12b
btw the x's are multiply signs.
Thanks :)
Answer:
24abc
Step-by-step explanation:
(-c)*(-2a)*12b
Multiply the numbers
-1 * -2 *12 = 24
Multiply the variables
c*a*b = abc
Put it back together
24abc
I'm doing simplifying expressions with exponents
Was wondering what it meant byexpress as a power of 2?
Answer:
Expressing a number in a power of 2 means that you have to figure out how many times you should multiply 2 by itself so the product will be that number.
The number is expressed as 2^n
For example:
Express 16 as a power of 2:
To get 16, you have to multiply 2 by 4 times.
2 × 2 × 2 × 2 = 16
16 = 2^4
Then the answer is 2^4
The distance from El Paso Texas to Houston
Texas is approximately 746 miles. If you
have already traveled 296 miles and you plan
on driving at a constant rate of 75 miles per
hour, how long will it take to get to Houston?
Answer:
It will take 6 hours to get to Houston.
Step-by-step explanation:
We have a total distance:
[tex] d_{T} = 746 mi [/tex]
And, the distance traveled is:
[tex] d = 296 mi [/tex]
The plan is driving at a constant rate of 75 mi/h, so the time to get to Houston is:
[tex]t = \frac{x}{v}[/tex]
Where:
[tex] x = d_{T} - d = 746 mi - 296 mi = 450 mi [/tex]
[tex]t = \frac{x}{v} = \frac{450 mi}{75 mi/h} = 6 h[/tex]
Therefore, it will take 6 hours to get to Houston.
I hope it helps you!
Please help me Evaluate -9 - (-4)
Answer:
Should be 13. Sorry if I’m incorrect!
Step-by-step explanation:
HEY answer this question so you can win. The answer has to be right or no winning 1000 dollors.
-1,-4,-7,-10 write an equation to find the nth term of each sequence. Then find a24
Answer:
[tex]\boxed {a_{24} = - 70}[/tex]
Step-by-step explanation:
According to the following pattern sequence ([tex]-1, -4, -7, -10[/tex] ), it is Arithmetic Sequence, because every negative number is subtracted by [tex]3[/tex]. So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:
[tex]a_{n} = a_{1} + (n - 1) d[/tex]
[tex]a_{n}[/tex]: nth term in the sequence
[tex]a_{1}[/tex]: 1st term
[tex]n[/tex]: term position
[tex]d[/tex]: Common difference
-Apply to the formula:
[tex]a_{24} = -1 - 3 (24 - 1)[/tex]
[tex]a_{n} = a_{24}[/tex]
[tex]a_{1} = -1[/tex]
[tex]n = 24[/tex]
[tex]d = -3[/tex]
-Solve:
[tex]a_{24} = -1 - 3 (24 - 1)[/tex]
[tex]a_{24} = -1 - 3 (23)[/tex]
[tex]a_{24} = -1 - 69[/tex]
[tex]\boxed {a_{24} = - 70}[/tex]
Therefore, the 24th term is [tex]-70[/tex].
Determine whether each number is rational or irrational
Answer:
B C E G J
Step-by-step explanation:
Solve the equation: 5.1 - 7x = 9.1
Answer:
Order summands
2
Subtract
5
.
1
5.1
5.1
from both sides of the equation
3
Simplify
4
Divide both sides of the equation by the same term
5
Simplify
Step-by-step explanation:
8×6=(4×6)+(_____x6)=24+_____=
Evaluate.
Answer:
[tex]8 \times 6 = (4 \times 6) + (4 \times 6) = 24 + 24 = 48[/tex]
14. A cable company charges a $30 base installation fee plus $10 for every hour it takes to install all the equipment in your house. Write an equation in slope-intercept form that models the price of your installation as a function of the amount of time it takes.
A. y=30x+10
B. y=10x+30
C. y=10x-30
D. y=30x-10
The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30
cm, find its length. Also find the area of the rectangle.
Answer:
The length is 35cm and the area is 1050cm^2
Step-by-step explanation:
The perimeter of a rectangle is all of the side lengths added together. "Breadth" is your width. So 2 x 30 + 2 x some length is your perimeter. Mathematically this can be represented as:
[tex]60+ 2x=130[/tex]
[tex]2x=70[/tex]
[tex]x=35[/tex]
For the area multiply 30 by 35
[tex]30*35=1050[/tex]
And your answer for the area is in cm^2
Answer right with proof please.
Answer:
the answer is a
Step-by-step explanation:
you times the 1/6 by 2 to get 2/12 then 3/4 by 3 to get 9/12 so all your fractions have the same denominator and the do the rest of the math with the new fractions and the same whole numbers that went with them. hope this helps
At the snack bar, 12 hot dogs are sold for every 10 hamburgers sold. At this rate, how many hamburgers will be sold if 66 hot dogs are sold?
Answer:
the answer is 54
Step-by-step explanation:
I am doing same thing
Answer:105
Step-by-step explanation:
Select the correct answer from each drop-down menu.
The Northville School Board has proposed this budget for the upcoming school year
• 20% for school staff's salaries
• 50% for school maintenance and upkeep
• 10% to refurbish the gymnasium
• 5% to upgrade the computer lab hardware
• 10% for new instruments for the music department
• 5% for new sports equipment
After a brief discussion, the school board revised the budget as follows:
• 20% for school staffs salanes
• 50% for school maintenance and upkeep
• 10% to refurbish the gymnasium
• 10% to upgrade the computer lab hardware
• 5% for new instruments for the music department
• 5% for new sports equipment
In this case, the opportunity cost for
Incomplete question. The completed question reads;
The Northville School Board has proposed this budget for the upcoming school year:
20% for school staff’s salaries
50% for school maintenance and upkeep
10% to refurbish the gymnasium
5% to upgrade the computer lab hardware
10% for new instruments for the music department
5% for new sports equipment
After a brief discussion, the school board revised the budget as follows:
20% for school staff’s salaries
50% for school maintenance and upkeep
10% to refurbish the gymnasium
10% to upgrade the computer lab hardware
5% for new instruments for the music department
5% for new sports equipment
In this case, the opportunity cost for (refurbishing the gym, upgrading the computer lab, or getting new instruments.) was ( upgrading the new computer lab hardware, getting new equipment, or getting new instruments?
Answer:
getting new instrument
Explanation:
Note that the term opportunity cost refers to the value or the cost of not selecting/benefitting from the other alternative option.
Comparing both budgets, it is observable that the budget for computer lab hardware was increased by 5%; and that of musical instruments was reduced by 5% according to The Northville School Board order of preference (importance).
Thus, we can say that the board decided to forgo some of the amount spent on musical instruments, but decided to increase spending on computer hardware.
Answer:
In this case, the opportunity cost for upgrading the computer lab hardware was getting new instruments.
Step-by-step explanation:
Edmentum
When the quotient of a long division problem has a remainder, it means the
( divisor / dividend ) does not go into the
(divisor / dividend ) evenly.
Which best explains the relationship between the two triangles below? Triangle D C A. Angle D is 51.2 degrees and angle A is 96.5 degrees. Triangle S R T. Angle S is 32.3 degrees and angle R is 96.5 degrees. Triangle A D C is similar to triangle R T S because Angle A is congruent to angle R, Angle C is congruent to angle S, and Angle D is congruent to angle T. Triangle A D C is similar to triangle R T S because Angle A is similar to angle R, Angle C is similar to angle S, and Angle D is similar to angle T. Triangle A D C is not similar to Triangle R T S because Angle D is not congruent to Angle S. Triangle A D C is not similar to Triangle R T S because C D less than S T, D A less than T R, and C A less than S R.
Answer:
Answer is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
i just take the test
In an online practice test, Sam got 11 correct answers. However, 3.5 points were deducted for incorrect answers. If he scored 18.5 points in the test, how much did he score for each correct answer?
what is the next 3 terms for (-6,42,-294,2058)
Answer:
es
Step-by-step explanation:
Answer:
A. 14,406. it runs by a -7 sequence, so D would be the 6th in the sequence.
Step-by-step explanation:
After some bad news (due to a revolutionary but ultimately doomed process for making toast in a microwave oven), stock in Seraj Food Industries fell by 40%, to $324 a share. What was the original price of a share? Thank you so much i'll mark brainliest!
Answer:
Around $650
Step-by-step explanation:
The original price of a share is $540.
Given that, Seraj Food Industries fell by 40%, to $324 a share.
What is the percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
Let the original price of share be x.
x - 40% of x = 324
⇒ x - 40/100 × x = 324
⇒ x - 0.4x = 324
⇒ 0.6x = 324
⇒ x = 324/0.6
⇒ x = 540
Therefore, the original price of a share is $540.
To learn more about the percentage visit:
https://brainly.com/question/24159063.
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The volume of a cylinder is given by the formula y = rrah, where r is the radius of the cylinder and h is the height.
Which expression represents the volume of this cylinder?
n = 2x + 7
0 0
0 24x3 – 12xx2 - 24 xX+63%
O 28x3 - 5 xX2 – 24 xX+63x
O 28x3 + 7 xx? - 18xx-63
The volume of the cylinder with radius r = x - 3 and height h = 2x + 7 is given by the expression V = π ( 2x³ - 5x² - 24x + 63 )
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the cylinder be represented as V
Now , the radius of the cylinder r = ( x - 3 ) units
Let the height of the cylinder be h = ( 2x + 7 ) units
And , Volume of Cylinder = πr²h
On simplifying the equation , we get
Volume of Cylinder = π ( x - 3 )² ( 2x + 7 )
Volume of Cylinder = π ( x² - 6x + 9 ) ( 2x + 7 )
On further simplification , we get
Volume of Cylinder = π ( 2x³ - 5x² - 24x + 63 )
Hence , the expression for the cylinder is V = π ( 2x³ - 5x² - 24x + 63 )
To learn more about cylinder click :
https://brainly.com/question/16134180
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Write the vocabulary word for: A ratio of two quantities with different units.
We dont have vocab words in class so....
Answer:
a rate
Step-by-step explanation:
I looked it up :P
Solve the multistep inequality.
4x + 3 < 5x − 6
Answer:
x > 9
Step-by-step explanation:
Isolate the variable, x. Treat the < as an equal sign, what you do to one side, you do to the other.
First, subtract 5x and 3 from both sides of the inequality:
4x (-5x) + 3 (-3) < 5x (-5x) - 6 (-3)
4x - 5x < -6 - 3
-x < -9
Isolate the variable, x. Divide -1 from both sides. Note that when you divide or multiply by a negative number, you must flip the sign:
(-x)/-1 < (-9)/-1
x < -9/-1
x > 9
x > 9 is your answer.
~
Answer:
x > 9
Step-by-step explanation:
4x + 3 < 5x − 6
-x < -9
x > 9
Which pair shows equivalent expressions? PLEASE HURRY IM BEING TIMED!!!!
Answer:
-2x-10=-2(x+5)
Step-by-step explanation:
Answer:
it's the third one
Step-by-step explanation:
I believe on doing homework to good luck with your work hope this helps
Samuel is y years old. In 10 years he will be 27. How old is Samuel?
Show work
Answer:
17
Step-by-step explanation:
(Samuel is years old in ten years he will be 27.)
how do we find his age he is rignt now?
First: you need to find the key words.
Samuel is years old in ten years he will be 27
secont: you find a way to do your problom.
27 ↓
- 10 ↓
````````````
17 ←
Your friend has owned a dog for 9 years. This is one year less than twice as long as he has owned the cat. How long has your friend owned a cat?
Answer:
17 years
Step-by-step explanation:
hope it helps:)
Answer:
20 Years.
Step-by-step explanation:
As you could see my friend owned a dog for 9 years, and it reads that it is one year less which is 10 years since 10-1 (aka one year) equals 9 so anyways we know it's 10, and it's twice as long 10 x 2 (aka twice). which is how I got my answer... 20!
haven't done expressions in a while so pls help :)
Answer:
3
Step-by-step explanation:
Subsitute -4 for m and 2 for p as given
( 4(2) - (-4) ) / 4
Double negatives make a positive.
( 4(2) + 4 ) / 4
Multiply inside parenthesis first
( 8 + 4 ) / 4
Add
12 / 4
3
Answer:3
Step-by-step explanation:
Subsitute -4 for m and 2 for p as given
( 4(2) - (-4) ) / 4
Double negatives make a positive.
( 4(2) + 4 ) / 4
Multiply inside parenthesis first
( 8 + 4 ) / 4
Add
12 / 4
3