Answer:
Your answer is 8.06.
Step-by-step explanation:
Since you're finding the hypotenuse of the triangle through Pythagorean theorem, you need to use the formula:
a² + b² = c²
Here, you have to remember that x is the same as c in the formula. c is the hypotenuse and x.
a is going to be your smallest leg, so in this case a = 4.
b is going to be your longest leg, so it is b = 7.
Now, you don't know what c yet is so you simply write it as:
4² + 7² = c²
Do the exponents.
16 + 49 = c²
Add.
65 = c²
Now you need to get the exponent away from the c. To do that, all you have to do is square root both sides.
√65 = √c2
Once you do that, you have your answer!
8.0622577483 = c
Now just simplify and you're done :)
8.06
Might sound hard now but you'll get the hang of it.
1/2 (2n + 6)
simply the answer and show work
Answer:
The answer is n + 3.
Step-by-step explanation:
1) Simplify.
[tex] \frac{2n + 6}{2} [/tex]
2) Factor out the common term 2.
[tex] \frac{2( n+ 3)}{2} [/tex]
3) Cancle 2.
[tex]n + 3[/tex]
Therefor, the answer is n + 3.
(8x10^(5))(7x10^(6)) find the value please
Answer:
I think it is 5.6e+12
Step-by-step explanation:
2.
Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
[tex]\angle C= 180 - ( 26 + 51 )\\\\C = 103^{\circ}[/tex]
applying the law of sines to find the unknown sides:
[tex]\to \frac{a}{\sin A} = \frac{c}{\sin C}\\\\\to \frac{a}{\sin 26} = \frac{28}{\sin 103}\\\\a=\frac{28 \times \sin 26 }{\sin 103}\\\\a=\frac{28 \times 0.438371147 }{0.974370065}\\\\a=\frac{12.2743921 }{0.974370065}\\\\a=12.597259\\\\a=12.59\\\\a = 12.6 \ m\\\\[/tex]
[tex]\to \frac{b}{\sin 51} = \frac{28}{\sin 103}\\\\\to b=\frac{28 \times \sin 51 }{\sin 103}\\\\b=\frac{28 \times 0.777145961 }{0.974370065}\\\\b=\frac{21.7600869 }{0.974370065}\\\\b=22.3324681\\\\b=22.3\\\\b = 22.3 \ m\\\\[/tex]
so,
[tex]\angle C = 103^{\circ}\\\\\to AC = 22.3\ m\\\\\\to BC = 12.6 \ m[/tex]
find the answer to these problems:
36 = 4x
13 = x +5
3x = 21
28 = x
8x = 60
which graph shows all the values that satisfy 2/gx +3>45/g
Answer:
In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.
Next, you solve the equation by finding x. Just don't mind the inequality symbol:
2/9 x + 3 > 4 5/9
2/9x > 4 5/9 - 3
2/9x > 14/9
x > 14/9 ÷ 2/9
x > 7
Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.
Step-by-step explanation:
What is the area of the figure?
Please somebody help me
Two highways meet at right angles in a town. Both highways are exactly straight
lines. Two cars leave the intersection at exactly the same time. One car starts traveling East
at 40mph and is decelerating at a rate of 1mph per hour. The other car starts traveling North
at 30mph and is accelerating at a rate of 0.5mph. At what rate is the distance between them
increasing 4 hours after they leave the intersection?
Answer:
Step-by-step explanation:
Using the relation :
S = ut + 1/2at²
S = distance
Car A :
Initial speed, u = 40 mph
a = negative acceleration = - 1 mph
At time, t = 4
S = 40(4) - 0.5(1)(4²)
S = 160 - 8
S = 152 miles
Car B :
Initial speed, u = 30 mph
a = acceleration = 0.5 mph
S = 30(4) - 0.5(1)(4²)
S = 120 - 8
S = 118 m
Change in distance / time
Rate of change = (152 - 118)m / 4 hours
Rate of change = 34 mi / 4 hr
Rate of change = 8.5 miles per hour
Click on the length of the pencil
Answer:
2 and 3/4
Step-by-step explanation:
The tiny lines between each inch is worth 1/4.
The answers would be 2.75 or 2 and 3/4 :)
What two numbers have a product of -30 and a sum of -1?
Answer:
5 and -6
Step-by-step explanation:
Answer:
5 and -6
Explanation:
[tex]xy = - 30 \\ x + y = - 1[/tex]
and you solve using the substition method
I’ll give brainliest please help
Answer:
130
Step-by-step explanation:
91 is 70 percent of the price
70% of 130 is 130*0.7 = 91
Solve for x
x/5 = 30
Answer:
Solution :-By cross multiplication
x = 5 × 30
x = 150.
Verification150/5 = 30
30 = 30
Hence, the value of x is 30 units.
[tex][/tex]
Fred read a total of 12 books over 4 months. After belonging to the book club for 12 months,
how many books will Fred have read in all? Solve using unit rates.
Answer:
Fred will have read 36 books in 12 months.
Step-by-step explanation:
We use ratios for this equation:
[tex]\frac{12}{4} =\frac{x}{12} \\\\4x=144\\x=36[/tex]
please help
What is 11 – 2³ ?
Answer:
3
Step-by-step explanation:
you do 11 - 2*2*2 which is equlivilate to 2^3
so your answer will be 3
someone please help fast!!
What is the probability a customer ordered a small, given that he or she ordered a hot drink?
Answer:
i don no
Step-by-step explanation:
prove triangle AOC is congruent to triangle BOD
Step-by-step explanation:
We are given two Triangles and we need to prove them congruent . In ∆AOC and ∆BOD , we have
[tex]\to AC = BD ( given ) \\\\\to OD = OA \\\\\to \angle CAO =\angle BDO (Since\ BD || AC ) [/tex]
Therefore by AAS congruent condition we can say that ,
[tex]\implies\red{ \triangle AOC \cong \triangle BOD }[/tex]
Hence Proved!
A spinner is divided equally into 4 colors: red, blue, green,
and yellow. If the spinner spins 60 times, how many times
can you expect it to land on blue?
Answer:
15 times because if the spinner is divided into 4 equal parts and you spin it a total of 60 times you would divide 60 by 4 to get your answer
Answer:
15 because 15 for each red, blue, green and yellow
Step-by-step explanation:
15 x 4 = 60
ILL BRAINLIEST YOU IF YOU GET IT RIGHT
Answer:
A.
angles two and 7 do not add up to 180 so they are not supplementary
:')
a cylinder has a diameter of 6cm and a height of 3 cm what is the surface area of the cylinder?
Answer:
113.1cm²
Step-by-step explanation:
Answer: It is 36 pi
Step-by-step explanation:
I took the test on k-12
SYTEM OF INEQUALITIES , 65 points.
HELP
Answer:
[tex]2x+3y\geq 60\\x>10[/tex]
Step-by-step explanation:
We know that she will be selling bracelets for $2 each and earrings for $3 each. That means we will have 2x+3y, where x is the number of bracelets she sells and y is the number of earrings she sells. Then we will have [tex]\geq 60[/tex] because she wants to sell at least $60 worth of earrings and bracelets. That means the amount she makes from bracelets and earrings combined has to equal 60 or more, thus we use the greater than or equal to sign.
Now we have [tex]x>10[/tex], where x is still the number of bracelets sold. She said she will sell more than 10, which means we will just have [tex]>10[/tex]. If she said she wanted to sell at least 10, then it would be [tex]\geq10[/tex].
Therefore the system of inequalities is:
[tex]2x+3y\geq60\\x>10[/tex]
Hope this helps!
find the equation of the exponential function represented by the table below
x y
0 3
1 9
2 27
3 81
Answer:
y = 3^(1 + x)
Step-by-step explanation:
Notice that each time x increases by 1, y increases by a factor of 3.
Thus, the required equation has the form y = 3^x.
Check: If x = 0, do we get 3? No. Therefore we must modify the exponent:
y = 3^(1 + x)
Check: If x = 0, do we get 3? 3^(1 + 0) = 3 (correct)
If x = 2, do we get 27? 3(1 + 2) = 3^3 + 27 (correct)
5 A male polar bear is 279 meters long. A female polar bear is 156 meters long. Sidney thinks the male polar bear is 123 meters longer than the female polar bear. She is incorrect.
Answer:
she is correct
Step-by-step explanation:
To determine the difference in height, subtract the height of the male polar bear from that of the female polar bear
279 - 156 = 123 m
Nevada has the fastest growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population 2010 ? Apply the population growth formula N=Noe^rt
Answer:
32,322,237 million or 3.23million
Step-by-step explanation:
Nevada has the fastest-growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population in 2010? Apply the population growth formula N=Noe^rt
Applying the formula given above
N=Noe^rt
No = 2.62 million
r = 3.5% = 0.035
t = 2010 - 2004 = 6 years
N = 2.62 × e^6 × 0.035
N = 3.2322365171 million
= 32,322,237 millon
Approximately = 3.23 millon
A rectangle has an area of 100cm and a perimeter of 104cm. Find the length and width of the rectangle (NEED ASAP)
zero point four divided by one point twenty eight?
Answer:
1.42857142857
Step-by-step explanation:
Well that the answer I got on my phone.
(WILL GIVE BRAINLIEST TO EVERY QUESTION ANSWERED ON MY PROFIL) Debra Goforth’s savings account shows a balance of $904.31 on March 1st. The same day, she made a deposit of $375 to the account. She also made deposits of $500 on April 1st and May 1st. The bank pays an annual interest rate of 5.5 percent. Use your Compounded Daily chart to calculate the amount in her account on May 29th.
Answer:
$4625.10
Step-by-step explanation:
Her account already had $904.31
You now need to add $375.
Then add $500 twice.
Because of how banks work, we need to find out how much they pay monthly. There are 12 months in a year. 5.5 divided by 12 is 0.45.
45% of 1279.31 is 575.68
Now we add the $575.68 to $1279.31
April is a new month and she deposited $500.
45% of 1854.99 is 834.74
Add $834.74 to $1854.99
Then she deposits 500 on May, another new month.
I think this step is obvious. Just follow what you did last time.
This leaves her with $4625.10
X+1/2=21/14 help please!!!
Solve the proportion
In 2018, the attendance at Jefferson School's Fall festival was 240. In 2019, the attendance was 210. What was the percent change in attendance from 2018 to 2019? Round to the nearest whole percent.
Answer:
Step-by-step explanation:
Nick makes $50 in 4 hours How much money will he make in 1 hour?
Answer:
$12,5
Step-by-step explanation:
50/4=12,5$
brainliest pls
Answer:
$12.5
Step-by-step explanation:
let x be the money he make in 1 hour
50 : 4 = x : 1
4x = 50
x = 12.5