Given:
The different models in the options.
To find:
The model that represent the Additive Inverse Property.
Solution:
Additive inverse property: The sum of a number and its additive inverse is always 0.
If [tex]a[/tex] is a number, then [tex](-a)[/tex] is the additive inverse because
[tex]a+(-a)=0[/tex]
If the number is 6, then the additive inverse is (-6) because
[tex]6+(-6)=0[/tex]
Therefore, the correct option is D.
In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C
Answer:
90°
Step-by-step explanation:
Angle C = arccos((84²+13²-85²)/(2×84×13))
= arccos(0/2184)
= arccos(0)
= 90°
Answered by GAUTHMATH
the average American student is in class 330 minutes a day how many hours is this
Let assume hours be x.
1 hour = 60 minutes
x hour = 330 minutes
[tex] \bf \large \rightarrow \: \: \frac{1}{60} \: \times \: \frac{x}{330} \: \: \: \small\rm({\red{ Cross \: \: Multiplying }}) \\ [/tex]
[tex]\bf \large \rightarrow \: \: 60x \: = \: 330[/tex]
[tex]\bf \large \rightarrow \: \: x \: = \: \cancel \frac{330}{60} \: = \: 5.5 \\ [/tex]
Total hours in a day is 5.5
The average American student is in class 5.5 hours a day.
What is Measurement unit?A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
We have to given that;
The average American student is in class 330 minutes a day.
We know that;
⇒ 1 hours = 60 minutes
⇒ 1 minute = 1/60 hours
Hence, We can change the unit as;
⇒ 330 minutes = 330 / 60 hours
= 5.5 hours
Thus, It is equal to 5.5 hours.
Learn more about the measurement unit visit:
https://brainly.com/question/777464
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On a coordinate plane, a parabola opens up. Solid circles appear on the parabola at (negative 4, 14), (negative 3, 9.5), (negative 2, 6), (0, 2), (1, 1.5), (2, 2), (4, 6), (5, 9.5), (6, 14).
Which is the rate of change for the interval between 2 and 6 on the x-axis?
Answer:
Step-by-step explanation:
The rate of change for the interval between x = 2 and x = 6 is simply asking you for the slope of the line that connects these 2 coordinates. If you were in calculus, you could find the instantaneous slope at any point on this parabola, but you're not quite that lucky yet, so we will go about it the only way we can:
by finding the slope. Remember, that slope is the same thing as rate of change.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and filling in:
[tex]m=\frac{14-2}{6-2}=\frac{12}{4}=3[/tex]
If the point (b,15) lies on the straight line with equation Y=5x fonde the value of b ?
Answer:
b = 3
Step-by-step explanation:
Substitute the y- coordinate 15 into the equation , that is
15 = 5x ( divide both sides by 5 )
3 = x
This is the x- coordinate of the point , so b = 3
Please help! What is 9.6=1/2b show work please!
Answer:
b = 19.2
Step-by-step explanation:
9.6 = ½b
=> 9.6 × (2/1) = b
=> 9.6 × 2 = b
=> 19.2 = b
I need help ASAP!! Please explain how to solve the problem
Answer:
Step-by-step explanation:
Surface Area of Cylinder = 2πrh+2πr^2
2π(3)(12) + 2π(3)^2
= 282.7 yd^3
answered by g a u t h m a t h
Work out the value of 10^2 - 4^3
Give your answer as a power of 6.
Answer:
6^2 = 36
Step-by-step explanation:
10^2 = 10 * 10 = 100
4^3 = 4 * 4 * 4 = 64
10^2 - 4^3= 100 - 64 = 36 = 6^2
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]6^2[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\10^2 - 4^3\\---------------\\\rightarrow 10^2 = 100\\\\\rightarrow 4^3 = 64\\\\\rightarrow 100 - 64 = \boxed{36}\\\\\text{Since we know that '36' is a perfect square, we can rewrite our answer as: } \boxed{6^2}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Simplify to create an equivalent expression.
2(3y + 6) - 3(-4- y)
Choose 1 answer:
gy
5y + 24
9y - 24
9y + 24
Answer:
9y + 24
Step-by-step explanation:
2(3y + 6) - 3(-4 - y)
= 6y + 12 - 3(-4 - y)
= 6y + 12 + 12 + 3y
= 9y + 12 + 12
= 9y + 24
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
(-5,2)
Step-by-step explanation:
Answer:
(5 , 2)
Step-by-step explanation:
F(-5 , 2)
After reflection F'(5 , 2)
The rule for reflection over y-axis is
Original point(x , y) : After reflection: (-x,y)
x-coordinate will change its sign and y-coordinate remains same
Find the volume of the prism.
Answer:
11,968
Step-by-step explanation:
I'm not sure, but I think its 11,968
need help with this!!!
Answer:
It's D I sure about it correspond means identical... The matching number
4
Select the correct answer.
Simplify the expression. What classification describes the resulting polynomial?
(8x2 + 3x) – (12x2 - 1)
OA.
quadratic binomial
OB. quadratic trinomial
O C.
linear monomial
OD.
linear binomial
Reset
Reset
Next
Answer:
quadratic trinomial
Step-by-step explanation:
(8x^2 + 3x) – (12x^2 - 1)
Distribute the minus sign
8x^2+3x-12x^2+1
Combine like terms
-4x^2+3x+1
This is a quadratic since the highest power of x is 2
This is a trinomial since there are 3 terms
PLS HELP ASAP
What are the possible rational zeros of f(x) = x4 + 2x3 − 3x2 − 4x − 12?
What is the answer for this question
Answer:
option d. is the correct answer
Put the following equation below in function notation and evaluate, using x as the independent
variable.
3x + 5y = 15; x=2
Answer:
1st option
Step-by-step explanation:
3×2+5y=15
5y=15-6
y=9/5
Answered by GAUTHMATH
The population of Greater Accra increased by 20% and became 900,7000. The original population of the city was:
Answer:
the original population of the city is 7,505,833
Step-by-step explanation:
Given;
new of the population of the city, Y = 9,007,000
the percentage increase of the city, = 20% = 0.2
Let the original population of the city = X
New population, Y = X + 0.2X
Y = X(1 + 0.2)
Y = X(1.2)
Y = 1.2X
X = Y/1.2
X = (9,007,000) / 1.2
X = 7,505,833
Therefore the original population of the city is 7,505,833
if you have a cylindrical tank that's 10 feet long and has a radius of 2 feet, what's the maximum possible capacity of the tank in gallons of water if 1 cubic foot of water = 7.48 gallons? Round your answer to two decimal places.
Answer:
Step-by-step explanation:
Volume = pi * r^2 * h
r = 2 feet
h = 10 feet
Volume = 3.14 * 2^2 * 10
Volume = 125.6 cubic feet
1 cubic foot contains 7.48 gallons
125.6 cubic feet contain 7.48 * 125.6 = 930.488
The tank contains 930.49 gallons.
Evaluate the expression when x=-6.
x^2-9x+4
Answer:
- 14
Step-by-step explanation:
x = - 6
x^2 - 9x + 4
= ( - 6 )^2 - 9 ( - 6 ) + 4
= 36 + 54 - 4
= 36 - 50
= - 14
Answer:
[tex]94[/tex]
Step-by-step explanation:
[tex]x^2 - 9x + 4[/tex]
[tex](−6 {)}^{2} −9 (−6) + 4[/tex]
[tex]36 − 9 (−6) + 4[/tex]
[tex]36 + 54 + 4[/tex]
[tex]90+4[/tex]
[tex]94[/tex]
Hope it is helpful....A rectangular school yard has a perimeter of 114 meters and an area of 702 square meters. What are the dimensions of the school yard?
Angles A and B are complementary. The measure of angle A
is yº. What is the measure of angle B?
Answer:
D, [tex](90-y)[/tex] degrees
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees. Since angle A and angle B are complementary, they add up to 90. Since the value of angle A is y degrees, we can substitute y into the equation to get
[tex]y+B=90[/tex]
To get the measure of angle B, we must isolate B.
To isolate B, we have to remove every term from its side.
The only term on the side that B is on other than B is y. To remove y from the left side, we must subtract y from both sides. Doing this will result in the equation:
[tex]B=90-y[/tex]
The only answer option that meets this criteria is D.
HELLLPPP 31 kilograms is the same as how many pounds? Hint: 1 kg = 2.2 lb Round your answer to the nearest tenth.
Hi! I'm happy to help!
To solve this, we need to turn all the kilograms into pounds. We know that to turn 1 kg into a pound, you multiply the amount of kilograms by 2.2.
Knowing this, we can multiply our 31 kilograms by 2.2.
31×2.2=68.2
This means that 31 kilograms is equal to 68.2 pounds.
I hope this was helpful, keep learning! :D
the perimeter The area of squre Plat is 100 m² Find at the plot o a
Answer:
perimeter=40m
Step-by-step explanation:
PERIMETER=(AREA ROOT)*4
=10*4=40m
Find the length of side x in simplest radical form with a rational denominator.
4.
609
30°
x
C
Answer: <=
Submit Answer
✓
attempt 1 out of
I really need help with this
Answer:
x=2
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 30 = x/4
4 sin 30 =x
4 ( 1/2) =x
2 =x
please help me !! :)
Rotate the vector 3,-2 90 degrees clockwise about the origin.
Answer:
-2,-3
Step-by-step explanation:
Answer:
-2 -3
It worked for me on acellus
Step-by-step explanation:
can you help me please.
Answer:
45
Step-by-step explanation:
1st term is 2
2nd term is 3
3rd term is 4
.
.
.
nth term is (n+1)
because common difference is 1, so 1st term = 1 + common difference = 1+1 = 2, for any term, we take n + common difference, so n+1
putting n = 44,
44th term is 44+1 = 45
Answered by GAUTHMATH
One of the lengths of a leg on a right angled triangle is 15 ft the length of the hypotenuse is 17 ft find the length of the other leg
Can someone explain this / answer, Its a picture
Answer:
option c is the correct answer (l=1 cm and w=42cm)
Step-by-step explanation:
length(l) = 1.00cm
width(w)= 42.00 cm
ACCORDING TO FORMULA
Area of rectangle = l×w
=1 cm × 42 cm
= 42cm^2
the volume of hemisphere is 1527.4cm^3.find the radius of the hemisphere to the nearest whole whole number.(take π to be 22/7)
Answer:
radius of the hemisphere = 9 cm approx
Step-by-step explanation:
Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]
1527.4 = [tex]\frac{2}{3} * \frac{22}{7} * r^{3}[/tex]
[tex]\frac{7*15274*3}{2*22*10}[/tex] = [tex]r^{3}[/tex]
[tex]\frac{320754}{440}[/tex] = [tex]r^{3}[/tex]
[tex]r^{3}[/tex] = 729
r = [tex]\sqrt[3]{729}[/tex]
r = 9 cm approx.
PLEASE EXTREMELY URGENT!!!
what is the solution to -2(8 x - 4) < 2x + 5
o x>1/6
o x<1/6
o x>6
o x<6
Answer:
1/6 <x
Step-by-step explanation:
-2(8 x - 4) < 2x + 5
distribute
-16x+8 < 2x+5
Add 16x to each side
-16x+16+8 < 2x+16x+5
8<18x+5
Subtract 5 from each side
8-5 < 18x+5-5
3<18x
Divide by 18
3/18 <18x/18
1/6 <x
I think it migth be the first one
give me brainlieSt
it is 1/6
