Step-by-step explanation:
using trignometry,
tan 60 = 3√3/x=√3
→x=3
cos 30 =3√3/y=√3/2
→y=6
Last year, Nick went bowling several times and earned an average score
of 82 points. This year, after taking a class at school, he improved his score
to an average of 123 points. What is the percent of increase in Nick's
average score? *
What is the inverse function of f(x) = -2?
Simplify 3 ( x + 2 ) − 2 ( x 2 + 2x − 4 ).
Which of the polynomials below represents the answer written in standard form?
Select one:
a. - 2x 2 − x + 14
b. - 2 + 7x + 2x 2
c. - 3x 4 + 14
d. 2x 2 + 7x − 2
Answer:
The polynomials that represents the answer is -2x² - x + 14 ⇒ a
Step-by-step explanation:
Let us solve the question
∵ The expression is 3(x + 2) - 2(x² + 2x - 4)
→ Multiply each bracket by the number before it
∵ 3(x + 2) = 3(x) + 3(2)
∴ 3(x - 2) = 3x + 6
∵ 2(x² + 2x - 4) = 2(x²) + 2(2x) + 2(-4)
∴ 2(x² + 2x - 4) = 2x² + 4x + (-8)
→ Remember (+)(-) = (-)
∴ 2(x² + 2x - 4) = 2x² + 4x - 8
∴ 3(x + 2) - 2(x² + 2x - 4) = (3x + 6) - (2x² + 4x - 8)
→ Multiply the (-) by all the terms in the 2nd bracket
∴ 3(x + 2) - 2(x² + 2x - 4) = 3x + 6 - 2x² - 4x + 8
→ Add the like terms
∵ 3(x + 2) - 2(x² + 2x - 4) = -2x² + (3x - 4x) + (6 + 8)
∴ 3(x + 2) - 2(x² + 2x - 4) = -2x² + (-x) + 14
∴ 3(x + 2) - 2(x² + 2x - 4) = -2x² - x + 14
∴ The polynomials that represents the answer is -2x² - x + 14
please please please help quick
Answer:
[tex]3\sqrt{5}[/tex]
Step-by-step explanation:
Since the triangle has a right angle, we are going to use pythaogoran theoem, which is [tex]a^{2} +b^{2} =c^{2}[/tex], where a and b are the legs and and c is the hypotunese/ slated side. Let set it up.
[tex]3^{2} +6^{2} =c^{2}[/tex]
9+36=c^2
45=c^2
[tex]\sqrt{45}[/tex]=
Then we are going to find a perfect squarre root(1,4,9,16,25....) to simplify the radical
The perfect square root is 9 because 9 goes into 45 5 times.
[tex]\sqrt{9x5}[/tex]
Then take the sqr root of 9 and we have [tex]3\sqrt{5}[/tex]
Romeo paid 380.75 in car repairs the sales tax is 7.5%. What is the total that Romeo has to pay
Step-by-step explanation:
Answer: $380.75x0.075%=28.55625 28.55625+380.75%-D409.30625 $409.30625 $409.31 Answer: $409.31
The round off value of 10256/32548 up
to three decimal places
Is
Answer:
0.315
Step-by-step explanation:
10256/32548 is about 0.3151 (I used calculator)
0.3151 rounded to thousandth place is 0.315
Remember the rule when round, 5 and above, up, below 5, stay the same.
The number after 5 in 0.3151 is 1 and 1 is less than 5, so the 5 stays the same.
Hope I was able to help! Good Luck!
Find sin(90°).
45°
A.0
В.1
C. square 2
D. square 2 / 2
Answer:
sin90° = 1.
Step-by-step explanation:
Using the diagram, we notice that the side opposite of the 90° angle is the hypotenuse itself.
Therefore sin90° = Hypotenuse/Hypotenuse = 1.
Find the side lengths asked below:
Answer:
WZ=
UZ=
Step-by-step explanation:
First, you have to find the x.
3x-6+x+6
Combine like terms
(3x+x) (-6+6)
4x+0
x=4.
WZ=3(4)-6
12-6
6
UZ= (4)+6
10
Toshеlle wants to take strength training classes at the
community center. She has to pay a one-time enrollment fee of $25 to join the
community center, and then $45 for each class she wants to take. Write an
equation in slope-intercept form for the cost of taking x classes.
Answer:
I would say y=45x+25
I’m doing the same workbook page
(If this is wrong I’m sorry)
Hope this helps
Have a great day/night
Jessica deposited $5000 in a simple interest account 4 years ago. She has earned $680 in interest so far. What is the interest rate for this account?
Answer:
$170
Step-by-step explanation:
every year she got $170 interested
What is the GCF of 6 and 36
Answer:
It's 6.
Step-by-step explanation:
6- 1, 2, 3, 6
36- 1, 2, 3, 4, 6
The greatest common factor of 6 and 36 is 6
Given data ,
Let the first number be represented as p
where the value of p = 6
Let the second number be represented as q
where the value of q = 36
To find the greatest common factor (GCF) of 6 and 36, we need to determine the largest positive integer that can divide both numbers evenly.
To begin, we can list the factors of each number:
Factors of 6 : 1 , 2 , 3 , 6
Factors of 36 : 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36
From the lists, we can see that both 6 and 36 share a common factor of 6. The GCF of 6 and 36 is therefore 6, as it is the largest number that can evenly divide both 6 and 36.
Hence , the greatest common factor is 6
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Back in ye olden days, cell phone companies charged for texting. A cell phone company charges 10 cents per text message if a customer sends up to 100 messages per month, 8 cents for 101-200 messages, and 6 cents for 201-300 messages. If today is the last day of the month, and you've sent 200 texts, is it worth it to send 1 more text message?
Answer: It is worth it.
Step-by-step explanation:
If a customer sends 101 - 200 texts in a month, they get charged 8 cents per text.
If they send 201 - 300, they get charged 6 cents per month.
If you have sent 200 texts, your charge for the month will therefore be:
= 200 * 8
= $16.00
If you send the 201th text, you will be charged 6 cents per text. Total charge would be:
= 201 * 6
= $12.06
If you send 1 more text, it will be worth it because you will save:
= 16 - 12.06
= $3.94
parker was able to pay 56% of his tuition with his scholarship .The remaining $6,057.35 he paid for with a student loan . What was the cost of parkers tuition ?
Answer:
$13,766.70
Step-by-step explanation:
Since he paid 56% with the scholarship, that means $6,057.35 is 44% of the total tuition
To find the total cost of tuition, divide 6,057.35 by 0.44
6,057.35/0.44
= 13766.70
So, the cost of Parker's tuition was $13766.70
Find the area of square in m’ if its side has the following dimensions.
(a) 90 cm
(b) 1 m 50 cm
Answer:
trol c(:
Step-by-step explanation:
XD
which phrase represents 3-7x
Answer:
3 less 7x
Step-by-step explanation:
I think soooo
not sure either
Answer: 3 - 7x = D) The difference between three and seven times a number. This expression is known because the words times and difference are your key words. Times means multiplication and difference means subtraction.
The difference between three and seven times a number.
HOPE THIS HELPS
A plot of land is in the shape of a triangle. Two of the angles measure 48 degrees and 74 degrees. The length of the side between them is 90 m.
a) calculate the perimeter of the plot, to the nearest meter.
b) calculate the area of the plot, to the nearest square meter.
Answer:
Perimeter = 271 meters
Step-by-step explanation:
third angle measure would have to be 180 - 122 = 58 degrees
you can use the law of sines:
sin 58° = sin 74°
90 b
.85 = .96
90 b
cross-multiply: .85b = 86.4
b = 102
now do again to find third side:
sin 58° = sin 48°
90 c
.85 = .74
90 c
.85c = 67
c = 79
now you know all 3 sides so add them to get perimeter (79+102+90) = 271
Function k squares the sum of the input, w, and 3.
What is the function equation in function notation?
9514 1404 393
Answer:
k(w) = (w +3)²
Step-by-step explanation:
The name of the function is k, and its input is w, so the left side of the equal sign will be ...
k(w)
This is said to be the square of the sum w+3, so the right side of the equal sign will be ...
(w +3)²
The function equation in function notation is ...
k(w) = (w +3)²
Answer:
k(w) = (w +3)²
I took the test
What is the sum of the digits of the first 99 counting numbers?
Help me please I need it really bad.
Answer:
6500
Step-by-step explanation:
How to find volume: height x length x width
The larger box: 15 x 20 x 25= 7500
Smaller box: 10 x 10 x 10= 1000
Place the smaller box inside the larger box, which means the smaller box takes up space so you would subtract their volumes and get- 7500-1000=6500
Sasha walks at a constant rate. She meets her friend Hannah 0.6 kilometer along the way, and thet continue walking at the same constant rate. When thay get to school, Sasha has walked for 0.6 hour and Hannah has walked 0.45 hour. What is the rate in kilograms per hour at which they walked to school
Answer:
4 km/hr
Step-by-step explanation:
Sasha walks at a constant rate. She meets her friend Hannah 0.6 kilometer along the way, and they continue walking at the same constant rate. When thay get to school, Sasha has walked for 0.6 hour and Hannah has walked 0.45 hour.
Let
the rate of the speed at which they walked to school be represented by r
Distance to school for Sasha = Distance to school for Hannah
Distance = Speed (rate × time)
Hence:
0.6r = 0.45r + 0.6
Collect like terms
0.6r - 0.45r = 0.6
0.15r = 0.6
r = 0.6/0.15
r = 4 km/hr
The rate in Kilometer per hour at which they walked to school is 4km/hr
I dont understand this... they do not teach well in my school tbh.
if x is 18 when y is 6 find y when x is 21
Answer:
y = 7, when x = 21
Step-by-step explanation:
Since 6 is 1/3 of 18 we could use that to find y
1/3 x 21 = 7
Anybody know the answer for this? ;-;
Answer: the first answer choice
Step-by-step explanation:
Answer:
i think its the bottom one but i dont know
Step-by-step explanation:
i need help this too help me and thank you and thank you
Answer:
minimum
Step-by-step explanation:
this is a minimum since the vertex is at the bottom
it would be a max if the vertex is at the top and the graph opens down
Which of the following is not a geometric tool?
A.Compass
B.Pen
C.Protractor
D.Set Squares
Answer:
C. Protractor
Answer:
A
Step-by-step explanation:
A compass is for directions.
Simplify the following.
–(32)2
Answer:
-64
Step-by-step explanation:
If i'm not mistaken and this is times then it is just
-32 times 2
which is -64.
-
Have a wonderful day and best of luck!
please help me almost done
Answer:
x = -8
<XCE = 30
Step-by-step explanation:
Remark
In any question like this, there are 8 possible answers. Of the 8, 4 are acute angles and 4 are obtuse. So any pair are either equal to each other, or they are supplementary. In this case the two given angles are equal.
We have a little bit of both in this question.
Solution
3x + 174 = - 7x + 94 Alternate exterior angles. Add 7x to both sides.
3x+7x +174 = 94 Combine
10x + 174 = 94 Subtract 174 from both sides
10x = 94 - 174
10x = - 80 Divide by 10
x = - 80/10
x = - 8
===================
Check
3x + 174 = -24 + 174 = 150
-7x + 94 = -7*-8 + 94
-7x + 94 = 56 + 94 = 150
<XCE
<XCE = 180 - (3x + 174)
<XCE = 180 - (-24 + 174)
<XCE = 180 - (150)
<XCE = 30
Al, Bert, and Rob determined that the sum of their ages is 62. Bert is twice as old as Rob, who is 10 years older than Al. How old is each?
Answer: AI is 8, Rob is 18, and Bert is 36
Step-by-step explanation:
Ok, so the sum of their age is 62. Bert is x2 of Rob. Also someone is 10 years older than AI, lets assume Rob is the guy that is 10 years older. x+y+10+(z times 2)=62. So lets solve it. 62-10=52. 52=x+y+(z times 2). Now if you think about it x and y is the same, because the 10 is already minused. So it's now x*2+z*2=52, if you assume it now, z is x+10. So now it is 52=x*2+(x+10)x2. Now we break out the brackets so its x*2+x*2+20=52. Lets simplify it. x*4+20=52, lets swift the 20 the the other side. x*4=52-20, x*4=32. 32/4=8 so 8 is x. Now we know AI is 8, Rob is 18, and Bert is 36!
What is the domain of the function shown on the graph?
Answer:
The domain of the graph is:
-∞ < x < ∞
Hence, option B is correct.
Step-by-step explanation:
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
Domain refers to all the possible sets of input values on the x-axis.From the given graph, we can easily observe that the graph extends horizontally to the left without bound, as well as to the right without bound.
Therefore, the domain of the graph is:
-∞ < x < ∞
Hence, option B is correct.
Lean ground beef costs $7.25 per pound. Which equation best represents y, the total cost of x pounds of lean ground beef?
a
x = 7.25 + y
b
y = 7.25 + x
c
x = 7.25y
d
y = 7.25x
The equation for best represents y, the total cost of x pounds of lean ground beef is y = 7.25x.
Given that,
Lean ground beef costs $7.25 per pound.
The total cost of x pounds of lean ground beef.
We have to determine,
The equation which represent y.
According to the question,
Lean ground beef costs $7.25 per pound.
The total cost of x pounds of lean ground beef.
The equation for representation the total cost y of x pounds is written as.
Total cost of pounds = Lean ground beef costs $7.25 per pound × cost of x pounds of lean ground beef.
The equation for total cost of y of x pounds,
y = (7.25).(x)
y = 7.25x
Hence, The equation for best represents y, the total cost of x pounds of lean ground beef is y = 7.25x.
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