6²[tex]x[/tex]−10
Step-by-step explanation:
wow-
8×6=(4×6)+(_____x6)=24+_____=
Evaluate.
Answer:
[tex]8 \times 6 = (4 \times 6) + (4 \times 6) = 24 + 24 = 48[/tex]
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).
Given that line m is parallel to line r and m
= (3y +85), find
m
Answer:
m=(3y+85)
Step-by-step explanation:
On June 19, NoteQuest Inc. instituted a 3-for-2 split. At that time Keisha owned 205 shares of that stock. The price per share was
$33.99. After the split, Keisha received a check for a fractional part of a share. What was the amount of that check?
Answer:
$11.33
Step-by-step explanation:
Keisha will own 307 shares after the split. and the amount of check is 11 dollar.
Given that, NoteQuest Inc. instituted a 3-for-2 split. At that time Keisha owned 205 shares of that stock. The price per share was
$33.99.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, 3+ 2 = 5
Now, let x be the number of shares post split
Then;
3/2 = x/205
x = 3/2 (205)
x = 615/2 = 307.5
Therefore, Keisha will own 307 shares after the split.
Learn more about multiplications;
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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 )
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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.
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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
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
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
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
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
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!
One-third of a number is 7. Find the number.
Answer:
21
Step-by-step explanation:
21/3 = 7
Please help me! Two pictures!
Answer:
B. y<=-2x+1
Step-by-step explanation:
Answer:C
Step-by-step explanation:
You can graph the answer into desmos, a website which helps you graph, I graphed it and got C.
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
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
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 ←
Create a polynomial with two terms and a degree of 4
hey mate☺️☺️ here's your answer......
4x'4 + 1
PLEASE HURRY AND ANSWER ASAP :)
THIS IS DUE IN 10 MIN
Answer:
23.2/20
Step-by-step explanation:
i looked it up
HEY answer this question so you can win. The answer has to be right or no winning 1000 dollors.
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:
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
Determine whether each number is rational or irrational
Answer:
B C E G J
Step-by-step explanation:
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
What percent of your friends like playing dodge ball if 5 out of 8 of them like playing dodge ball?
Answer:
62.5% or 63%
5 ÷ 8 = 0.625
0.625 = 62.5% or 63%
Answer:
Same situation as before, thanks for points.
Step-by-step explanation:
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
What is the value of x? Enter only the number in the box! Help Asap
Answer:
x = 5
Step-by-step explanation:
90 - 55 = 35
8x - 5 = 35
+5 +5
8x = 40
x = 5
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?
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!