Answer:
f ( x ) = [tex]x^{3}[/tex] − 2 [tex]x^{2}[/tex] + x + C
This is trigonometry!
I need help with what it means when it says “adjacent for 20 degrees” , “hypotenuse for 20 degrees” etc. ! Thanks
Answer:
Adjacent for 20° = 17.3mm
Hypotenuse for 70° = 120mm?
Opposite for 70° = 17.3mm
Hypotenuse for 20° = 120mm?
Adjacent for 70° = 10mm
Opposite for 20° = 10mm
Step-by-step explanation:
I think "Adjacent for 20°" is asking the length of the side adjacent to 20° (Although the Hypotenuse is adjacent to 20° don't answer its length because Hypotenuse are ALWAYS opposite to the 90° of a right triangle). The "Opposite for 70°" is asking the length of side opposite to 70°.
Also, I really don't know why the hypotenuse is 120mm because by the Pythagorean Theorem, it should 19.98mm (20mm if rounded to the nearest tenths).
Answer:
"adjacent" is the short ray that makes up the angle. "opposite" is the side not touching the angle.
Step-by-step explanation:
Since your question text involves identifying adjacent and opposite, that's what we'll explain.
In a right triangle, the hypotenuse is the side opposite the right angle. For the purposes here, it is always referred to as the hypotenuse. It is the longest side in the right triangle.
__
Each acute angle in the right triangle has the hypotenuse on one side. The other side forming the angle is called the adjacent side.
The remaining side of the triangle (not the hypotenuse, and not the adjacent side) is the one opposite the angle. It is called the opposite side.
__
In the first attachment is a triangle with sides and angles labeled. Each angle is labeled with an upper-case letter (A, B, C), and each side opposite that angle is labeled with the corresponding lower-case letter (a, b, c). This is a customary way to label triangle sides and angles. (The right angle is not always C.)
So, for angle A, the hypotenuse is c, and the adjacent side is b. The side opposite is a.
For angle B, the hypotenuse is c (still), and the adjacent side is a. The side opposite is b.
__
The second attachment applies these ideas to your first (upper left) triangle.
__
As for the applicable formulas, the mnemonic SOH CAH TOA is often helpful. It is intended to remind you that ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
Then the applicable formulas clockwise from left are for Cos, Sin, Cos.
"What went wrong" in the 30° triangle is that somebody used a calculator in radians mode, not degrees mode, when they tried to compute the sine. A couple of errors were made, because sin(30 radians) is about -0.988, so the minus sign was dropped, too. (You always need to check that the calculator is in the right mode.)
Harry and Jenny are going to the movies. They each bought a medium popcorn, and Harry got a small soft drink. Jenny had a $4 coupon as a discount, and Harry paid the rest, which came to $23. A movie ticket costs $8, and a medium popcorn costs $4.50. What was the cost for a soft drink?
Answer:
2$
Step-by-step explanation:
2 medium popcorns = 9$
2 Movie tickets = 16$
One coupon = -4$
This is equal to the cost without the soft drink(21$)
23$ - 21$ = 2$
Answer:
$2
Step-by-step explanation:
It was originally $27 but, Jenny used a $4 coupon. Each movie ticket costs $8, each popcorn cost $4.50.
1. Start from the cost of each item.
8+8=16 (cost of the tickets)4.50+4.50=9 (cost of the popcorn) .2. Add the totals together.
16+9+ 25
Now subtract 25 from the original amount.
27-25=2
It costs 2 dollars for a soft drink.
What is the volume of a rectangular prism with l = 412 cm, w = 312 cm, and h = 6 cm?
Answer:
Step-by-step explanation:
V = l · w · h
V = (412)(312)(6)
V = (1872)(412)= 771,264 cm^3
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{771264 \: \: {cm}^{3} }}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \sf{ \: length \: of \: a \: rectangular \: prism(l) = 412 \: cm}}[/tex]
[tex] \star{ \sf{ \: width \: of \: a \: rectangular \: prism \: ( \: w \: ) = 312 \: cm}}[/tex]
[tex] \star{ \sf{ \: height \: of \: a \: rectangular \: prism \: ( \: h \: ) = 6 \: cm}}[/tex]
Finding the volume of a rectangular prism having length ( l ) of 412 cm , width ( w ) of 312 cm and height ( h ) of 6 cm :
[tex] \bold{\boxed{ \sf{volume \: of \: a \: rectangular \: prism = lwh}}}[/tex]
[tex] \hookrightarrow{ \sf{volume \: of \: a \: rectangular \: prism \: = 412 \times 312 \times 6}}[/tex]
[tex] \hookrightarrow{\boxed{ \sf { volume \: of \: a \: rectangular \: prism = 771264 \: {cm}^{3} }}}[/tex]
Volume of a rectangular prism = 771264 cm³
Hope I helped!
Best regards! :D
~TheAnimeGirl
Find the distance between the points (6, 9) and (0, 1).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units
Answer:
D= 10
Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(0-6)^2+(1-9)^2}\\d=\sqrt{(-6)^2+(-8)^2}\\d=\sqrt{(36)+(64)}\\d=\sqrt{100}\\d=10[/tex]
You are shopping for T-Shirts on your favorite site. You choose 3 shirts, and the site
tells you they will cost $15.50 each, and shipping will cost $12.60
The website then suggests you can save some money by buying a 4th shirt, because
the cost per shirt will reduce to $14.00 each, AND shipping will be free.
How much money will you save by buying 4 T-Shirts?
Your answer will be a positive decimal value. You do NOT NEED the $ sign.
Answer:You will be saving $3.10
Answer:
Step-by-step explanation:
3 T-Shirts price= 15.50
mean 1 T-Shirt price=5.16
3 T-Shirts shipping=12.60
mean 1 T-Shirt Shipping=4.2
If I get 4 then
4 T-Shirts price will be 5.16 x 4 = 20.65
4 T-Shirts shipping will be 4.2 x 4 = 16.8
Total cost will be = 37.45
So Company offers
4 T-Shirts in 14$ with free shiping
you will save 23.45
Please help me out! I don't understand this
Answer:
D.
Step-by-step explanation:
Answer:
CD=EF. -(1)
EF=GH. -(2)
Adding (1) and (2)
[LHS(1)+LHS(2) = RHS(1)+RHS(2)]
CD+EF = EF+GH
EF on both sides cancel each other.
CD= GH
Option D is the answer.
Hope this will help :-)
Mr. Alfred’s car gets 12 miles per gallon. He drives to West Harlem for a weekend to visit his grandmother. He uses 6 gallons of gas. How many miles did he drive?
Answer:
72 miles.
Step-by-step explanation:
If he uses 6 gallons of gas, you would do 6 (gallons he used) x 12 (miles per gallon) equaling 72.
Julio is payed 1.2 times his normal hourly rate for each hour he works over 30 hours in a week. Last week he worked 40 hours and earned $495.60 enter and solve an equation to find julios hourly rate, r. Complete the explanation how you know that your answer is reasonable
Answer: $10.33
Step-by-step explanation:
Given: Julio is payed 1.2 times his normal hourly rate for each hour he works over 30 hours in a week.
Last week he worked 40 hours ( > 30 hours by 10 ) and earned $495.60.
Let r = Julio's hourly rate
if he worked over 30 hours in a week, then hourly rate = 1.2r
According to the question
[tex](1.2r)\times 40=495.60\\\\\Rightarrow\ r=\dfrac{495.60}{1.2\times 40}\\\\\Rightarrow\ r=10.325\approx10.33[/tex]
Hence, his hourly rate = $10.33
20-(-3) for algebra to find the difference
Hey there!
ANSWER: [tex]-60[/tex]EXPLANATION:[tex]20-(-3)[/tex]
[tex]Subtract:\\20-(-3)\\=-60(ANSWER)[/tex]
Hope this helps!
[tex]-TestedHyperr[/tex]
What is the sum of 2/3 + (-1/3) in fraction form?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{1}{3}}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{ \frac{2}{3} + ( - \frac{1}{3} )}[/tex]
We know that [tex] \sf{( + ) \times ( - ) = ( - )}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{2}{3} - \frac{1}{3}} }[/tex]
While performing the addition or subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same.
[tex] \dashrightarrow{ \sf{ \frac{2 - 1}{3}}} [/tex]
[tex] \dashrightarrow{ \boxed{ \sf{ \frac{1}{3}}}} [/tex]
Hope I helped!
Best regards! :D
The sum of 2/3 + (-1/3) in fraction form is 1/3 after applying the arithmetic operation, the answer would be 1/3.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The number expression is:
= 2/3 + (-1/3)
= 2/3 - 1/3
Taking 3 as LCM
After simplification:
= (2 - 1)/3
= 1/3
Thus, the sum of 2/3 + (-1/3) in fraction form is 1/3 after applying the arithmetic operation, the answer would be 1/3.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
!!20 POINTS!!
What are the names of three collinear points?
Answer: L, J, K
Step-by-step explanation:
L, J, and K are collinear because they all lie on the same line.
In February, Paul's electric bill was three dollars more then one-half his gas bill. If the electric bill was ninety-two dollars, what was the gas bill?
Answer:
49$
Step-by-step explanation:
What is the absolute value of –7.5?
Answer: 7.5
Step-by-step explanation:
Absolute value is the distance from 0.
-7.5 is is 7.5 units away from 0.
Find the value of x. If someone could help me, please
Answer:
8 x = 17
9 x = 36
10 x = 10
Step-by-step explanation:
8
(6x + 5) + (4x+5) = 180
6x + 4x = 180 - 5 - 5
10x = 170
x = 170/10
x = 17
9
2x + 1 = 73
2x = 73 - 1
2x = 72
x = 72/2
x = 36
10
(3x+7) + 53 = 90
3x = 90 - 53 - 7
3x = 90 - 60
3x = 30
x = 30/3
x = 10
Answer:
8) i have no clue
9) x=36
10) x=10
Step-by-step explanation:
9) 73-1=72
72/2=36
x=36
10) 3x+7
90-53=37
37-7=30
30/3
x=10
W/-4 + 17=9. Solve for w what is w
Answer:
w=-32
Step-by-step explanation:
Answer: w=32
Step-by-step explanation:
Given
w/-4 + 17=9
Subtract 17 on both sides
w/-4 + 17 - 17=9-17
w/-4=-8
Multiply -4 on both sides
w/-4 × -4=-8×-4
w=32How many cm in 92.4 inches?
Thank you!
Answer:
234.696 cm
Step-by-step explanation:
Answer: 234.696
Step-by-step explanation:
1 inch = 2.54 centimeters so
92.4 times 2.54 is 234.696
Solve for the equation for x 3x+y/=2
Which fraction has a repeating decimal as its decimal expansion?
3/25
3/16
3/11
3/8
Answer:
3/11
Step-by-step explanation:
3/11 equals 0.272727273 which is a repeating decimal.
Answer:
3/11 is C
Step-by-step explanation:
write the mixed number 11 1/6 as a decimal
Answer:
11.1667
Step-by-step explanation:
11 1/6
11*6+1
=67/6
=11.1666666666
=11.1667
An Arcticle was sold for Rs250 with a profit of 5% find cost price
Answer:
I think it should be Rs237
3x + 2y + -2x + 8y pls help
x+10y
Step-by-step explanation:3x+2y+(-2x)+8y
First of all you cannot substitute x with y, so what u do u make the numbers with the same letters they have,and I put -2x because + & - equals to -(minus) :-
3x-2x+2y+8y= x+10y
I don't add 1 to x coze when x alone stands for 1, I added +10y because both the y equations had + they were positive so I add a +.
Hope it helpsrote x+18=x-2 what is the answer
Answer:
no solution
Step-by-step explanation:
Given
x + 18 = x - 2 ( subtract 18 from both sides )
x = x - 20 ( subtract x from both sides )
0 = - 20 ← not possible
This indicates the equation has no solution
The sum of 5x+y and (2xy + xy) is
8x^2y
6x^2y+2xy^2
7xy^2+x^2y
15x^2y
Which is a “monomial? or binomial
What is the volume of this rectangular prism?
Answer: 5/8 cm^3
Step-by-step explanation:
V = l x w x h
l = 3/4 cm
w = 1/3 cm
h = 5/2 cm
V = (3/4 cm) x (1/3 cm) x (5/2 cm) = 15/24 cm^3 = 5/8 cm^3
the diving distance between manchester and london is 195 miles faris inteneds to travels from manchester to london by coach the coach will leave manchester at 3.30 pm faris assumes that the coach will travel at an average speed of 50 mph work out farris arrival time in london
Answer:
Faris' arrival time = 3:30 pm + 3 h 54 mnt = 7:24 pm
Answer:
19.24
Step-by-step explanation:
There was 3/4 of a pizza left over from a party. The next day, Bob ate half of what was left. How much of a whole pizza did Bob eat?
Answer:
2 and 1/2 if he ate the 1/4th also but if he just ate the half of the 3/4 its 1 and 1/2
Step-by-step explanation:
Keith had two hundred sixteen dollars to spend on six books. After
buying them he had eighteen dollars. How much did each book cost ? _____________
Answer:
$34.66
Step-by-step explanation:
216-8= 208 divided by 6 = 34.666666
Answer: 33$ each
Step-by-step explanation:
you start by subtracting 18 from 216 to get rid of the leftover money.
you'll have ended up with the number 198
divide 198 by 6 and that will be your answer.
Bryan has a prepaid cell phone with a balance of $75. He is charged the same rate per minute. Which function represents the balance on the phone after (n) minutes?
Answer:
36 minutes
Step-by-step explanation:
i have a different saying this so dont get mad
for line segment ac, point b is between points a and c. points abc are collinear. if ab=x-7, bc=2x-2, and ac=x+13. solve for bc
Answer:
BC = 20Step-by-step explanation:
Point B is between points A and C and points A, B, C are collinear so
AB + BC = AC
x-7 + 2x-2 = x + 13
3x - 9 = x + 13
+9 +9
3x = x + 22
- x - x
2x = 22
BC = 2x - 2 = 22 - 2 = 20
Describe the steps of constructing a segment that is TWICE as long as the given segment BD.
Answer:
See below
Step-by-step explanation:
From the segment BD, I will consider the point B as the begin and D as the end of the vector, therefore [tex]\overrightarrow{BD} = \vec{v}[/tex]
Once you want a segment that is twice as long as the given segment, we may say that the magnitude of the vector is
[tex]||2\vec{v} || = \sqrt{(2x)^2 + (2y)^2} = \boxed{ \sqrt{4x^2 + 4y^2} }[/tex]
Note: I'm assuming [tex]\vec{v} \in E^2[/tex], which means the segment is in the plain.