Answers
Answer:
[tex]\sqrt{49 - x^{2}}[/tex]
Step-by-step explanation:
Pythagorean theorem [tex]c^{2} = a^{2} + b^{2}[/tex] Then:
[tex]7^{2} = x^{2} + y^{2}\\y^{2} = 7^{2} - x^{2}\\y^{2} = 49 - x^{2}\\y = \sqrt{49 - x^{2}}[/tex]
the lenght of the third side = [tex]\sqrt{49 - x^{2}}[/tex]
Ф = [tex]sin^{-1} (\frac{x}{7} )[/tex]
Ф = [tex]cos^{-1} (\frac{y}{7} )[/tex]
Ф = [tex]tan^{-1} (\frac{x}{y} )[/tex]
Related Questions
Solve.
x−8.2=−9.09
What is the solution to the equation?
Enter your answer in the box.
x =
Answers
Answer:
x = - 0.89
Step-by-step explanation:
x - 8.2 = - 9.09
x = - 9.09 + 8.2
x = - 0.89
Answer:
-0.89
Step-by-step explanation:
Kelly and her mom like to travel to different states. Kelly's mom has visited 32 states. That is 4 times as many states as Kelly has visited.
How many states has Kelly visited?
Answers
32 / 4 = 8
When it states that her mom visited x 4 the amount of states as her, divide the amount her mom has visited by 4 and find out how many states Kelly visited.
32 / 4 = 8
So, Kelly has visited 8 states.
Evaluate: 100−20.2×4.5.
i need this for imagen math
Answers
Answer:
359.1
Step-by-step explanation:
100 - 20.2 is 79.8
79.8 x 4.5 is 359.1
therefore it is 359.1
i need help again please n thank you :)
Answers
Answer:
A solid line.
Step-by-step explanation:
The line would be dashed if it was either a < or > sign, but the line is dashed when it is just a < or > sign.
Step-by-step explanation:
the answer is Dashed Line
I NEED HELP PLEASE SHOW WORK ON A PIC
Answers
As per question
We shall proceed in graphical way
2x+4y≥8x+2y≥4--(1)And
x-4y<6--(2)Graph attached
help asappppppppppppp
Answers
Answer:
113 degrees
Step-by-step explanation:
2 and 7 are equal, so 0 and 2 will equal the same as 3 and 7, and both equal 180... Do 180-67=113
Billy has 201 packages of postcards. Each package has 18 cards. Use rounding to estimate. About
how many cards does Billy have?
Answers
201 * 18 = 3,618
18 card per package
201 packages
3,618 cards all together
Given f(x) = 2x2 – 9x + 2, g(x) = 1 - 6x, and
h(x) = x2 – 4, find the following function:
(h+f)(x)
Answers
Answer:
[tex](h+f)(x)=3x^2-9x-2[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-9x+2\\g(x)=1-6x\\h(x)=x^2-4[/tex]
Looks like g(x) is irrelevant here.
You can expand this like so:
[tex](h+f)(x)\\h(x)+f(x)[/tex]
And even further:
[tex](x^2-4)+(2x^2-9x+2)[/tex]
Now, it's just a matter of simplifying.
[tex]x^2-4+2x^2-9x+2\\\\(x^2+2x^2)+(-9x)+(-4+2)\\\\3x^2-9x-2[/tex]
Therefore:
[tex](h+f)(x)=3x^2-9x-2[/tex]
PLEASE HELP GIVING POINTS
Answers
Explanation:
Allison has 10 coins in dimes and nickels in her purse. The value of the coins is $0.70. Which pair of equations can be used to find the number of dimes, d, and nickels, n, Allison has in her purse?
Answers
Answer:
A lot
Step-by-step explanation:
Does this girl not have a credit card
The pair of equations is d + n = 10 and d + 5 n = 7 that can be used to find the number of dimes and nickels.
What is an equation ?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
Number of dimes = d
And number of nickels = n.
Total number of coins = 10.
Also, the value of coins = $0.70.
According to given conditions,
Since, Total number of coins is 10,
The equation can be written as,
d + n = 10
Total value of coins are = 0.70
0.1d + 0.05n = 0.70
1/10 d / 5n / 100 = 0.70
10 d + 50 n = 70
d + 5 n = 7
The required pair of equations are d + n = 10 and d + 5 n = 7.
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if p =5 q =3 find the value of 9p2²- 5q²
Answers
Answer:
Answer is in the attached file.
Which of the following is a function equivalent to f(x) = 3(1. 7)4x? f(x) = 25. 06x f(x) = 3(8. 35)x f(x) = 3(8. 25x) f(x) = 487. 97x.
Answers
The correct equivalent function can be found by using exponent rule.
The correct option is [tex]f(x)=3(8.35^x)[/tex].
Given:
The given expression is as follows,
[tex]f(x)=3(1.7)^{4x}[/tex]
Write the exponent rule.
[tex]a^{mn}=(a^m)^n[/tex]
To simplify the given expression apply the exponent rule.
[tex]f(x)=3(1.7)^{4x}\\f(x)=3(1.7^4)^x[/tex]
Using calculator find the value of [tex]1.7^4[/tex].
[tex]f(x)=3(1.7^4)^x\\f(x)=3(8.35)^x\\f(x)=3(8.35^x)[/tex]
Thus, the correct option is [tex]f(x)=3(8.35^x)[/tex].
Learn more about exponent rule here:
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What is the slope of a line that is parallel
and perpendicular to each line?
Answers
Answer:
m1.m2 = -1
Step-by-step explanation:
In the case of the parallel line, the slope of the two lines is parallel to each other.
The ratio of green balloons to blue balloons is 6 to 9 if there are 1620 blue balloons how many green balloons are there
Answers
There are 1,080 green balloons.
HELP- I NEED LOTS OF HELP
Answers
Answer:
|279|
Step-by-step explanation:
so when ur doing absolute value you js need distance so lets work with the problem, if ur 279 feet below water u would need to get to zero feet below sea level (ground lvl) to do so how many feet towards ground lvl would u go? (279 clearly) so the distance from how many feet under u are to the ground lvl is ur absolute value.
Tbh in school they over complicate it if u need an absolute number from a negative number like -279 (as it is in the problem) you would js make it a positive (if its positive 279 u js say the absolute value is 279)
(also the absolute value is the distance between the number and zero so yh u can put that)
PLS help its the last question
Answers
Answer:
D
Step-by-step explanation:
Which table represents a linear function?
Answers
Answer:
it's the last one in the lower right corner.
Solve 2x2 + 20x + 8 = 0 by completing the square.
a. x = –5 + √17, x = –5 √–17
b. x = –5 + √21, x = –5 –√21
c. x = 5 + √21, x = 5 –√21
d. x = 5 + √17, x = 5 –√17
Answers
Answer:
Answer B:
Step-by-step explanation:
just took the test)))):
the answer: B
ok done. Thank to me :>
the range of values of x for which 11-2x>1
Answers
Answer:
(−∞,5)
Step-by-step explanation:
-2x>-10
x<5
Nate's recipe calls for 3 cups of flour, but all of his
measuring cups are dirty. He remembers that there are
16 tablespoons in a cup How many tablespoons of four
should he use in his recipe?
Answers
Question 6 of 25
Evaluate 4(x - 3) + 5x - x2 for x = 3.
-
Answers
[tex]\text{Given that,}\\\\4(x-3) +5x -x^2\\\\\text{For x =3,}\\\\4(3-3) +5(3) -3^2 = 4(0) +15 -9 = 6[/tex]
distribute the 4 into the 3’s
multiply 5 by 3 as well as -3 and 2
add them all
If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048 meter) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!!!!!!
Answers
Answer:
3200 meters
Step-by-step explanation:
because it is
Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.
The number of laps around the track to run for 3.1 miles is 12.5.
What is unit conversion?Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.
We have,
The track length = 400 meters
One lap = 400 meters.
We have,
3.1 miles
1 foot = 0.3048 meter ____ (1)
We know that,
[ 1 mile = 5280 foot ]
So,
3.1 miles = 3.1 x 5280 foot
3.1 miles = 16368 foot
From (1),
3.1 miles = 16368 x 0.3048 meter = 4988.9664 meters
Now,
Since 400 meters is one slap.
The number of laps in 4988.9664:
Divide 4988.9664 by 400
= 4988.9664 / 400
= 12.47
Rounding to the nearest tenth.
= 12.5
Thus the number of laps around the track to run for 3.1 miles is 12.5.
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Which algebraic expression represents this word description?
The product of nine and the difference between five and a number
Answers
Answer: 9(5-n)
Step-by-step explanation:
The product of nine and the difference between five and a number can be represented as 9(5-n)
Answer: 9(5-x)
Step-by-step explanation:
Michaels test scores for this semester were 83,80,91,74,66,99,87,72,95,98. What was the median of his scores
Answers
Answer:
85
Step-by-step explanation:
Write the numbers in order
66, 72, 74, 80, 83, 87, 91, 95, 98, 99
Find the middle number
83 and 87 are in the middle, so find the mean of them. 83+87= 170
170/2 = 85.
Answer:
I added a little extra in case! Mark me brainleast
Step-by-step explanation:
Mean 84.5
Median 85
Mode 83, 80, 91, 74, 66, 99, 87, 72, 95, 98.
Range 33
Minimum 66
Maximum 99
What is the domain and range of this graph
Answers
Man just pay attention in school
Two vehicles are moving, one with the velocity of 20 m/s towards east and another with 10 m/s towards west. Calculate the distance between them after 20 minutes they are started from the same place and the same time.
Answers
Answer:
12 km
Step-by-step explanation:
20 minutes = 20 * 60 = 1200 second
distance = velocity * time
car 1 = 1200 * 20 = 24000 m = 24km
car 2= 1200 * 10 = 12000 m = 12km
so distance between them after 20 minutes is 24 -12 = 12 km
1. The original price of the table was $250. Jane bought it on sale for $200.
How much did she save?
What percent of the original price did she save?
Answers
She saved 20%.
The price of the table was 250 and she bought it for 200, meaning 1/5 of the original price was marked off. 1/5 = 20% which means it was 20% off the original price.
Hey ya'll I need help on this question
Answers
Answer:
285.2
Step-by-step explanation:
2852.1/10 = 285.21
but rounded to the nearest tenth is 285.2
Answer:
285.2
Step-by-step explanation:
After we divide 2852.1 by 10 we get 285.21. Rounding it to the nearest tenth it would be 285.2.
63 divided by 16,128 plss help it’s due wensday!!!!
Answers
Answer:
256 , or 0.00390625
Step-by-step explanation:
Consider that your profit-maximizing quantity of 500 can be produced at an average cost per unit of $9 and sold for a market price of $14 What is your profit per unit? What is your total profit?
Answers
Based on the quantity sold and the price, the profit per unit is $5 and the total profit is $2,500
The profit made from each unit sold can be found as:
= Market price - Average cost
= 14 - 9
= $5
The total profit would therefore be:
= Profit per unit x Number of units sold
= 5 x 500
= $2,500
In conclusion, the profit per unit is $5 and the total profit is $2,500
Find out more about profit per unit at https://brainly.com/question/25531124.