if a = 3 and b = 4, then:
4/2 ÷ 2 + (3^2 - 1)
2 ÷ 2 + (3^2 - 1)
1 + (9 - 1 )
1 + (8)
9
Please vote Brainliest if this helped you!
Answer:
Step-by-step explanation:
a = 3 & b = 4
b/2 ÷ 2 + (a² - 1) = 4/2 *1/2 + (3² -1)
= 1 + (9-1)
= 1 + 8
=9
A skateboard ramp has a slope of 5/6. What is the measure of the angle the ramp forms with the ground to the nearest degree
Answer:
39.8°
Step-by-step explanation:
We know slope is rise over run. That would mean our right triangle would have a horizontal leg of 6 and a vertical leg of 5. From there we use tan∅ to help solve ∅:
tan∅ = 5/6
∅ = tan⁻¹(5/6)
∅ = 39.8056
. Mr. Wayne has a 3-year contract for his cell phone service. He pays $124.65 each month to cover everyone in his family. How much will the cell phone service cost over the 3-year period? Explain your answer
Answer:
$4,523.40
Step-by-step explanation:
The cell phone cost is $124.65 per month. With 12 months in a year, we multiply $124.65 x 12 to get the answer $1,507.80. Since one year equals $1,507.80, we multiply this answer by 3 for 3 years to get $4,523.40. Thus three years of service with $124.65 a month would equal $4,523.40.
If you invest $1,000 in an account paying 4% interest compounded quarterly,lhow much money will you have after 3 years? A.)$1,500 B.)$1,005 C.)$1,220 D.)$1,225
Answer:
C is closest to the actual result, $1126.03.
Step-by-step explanation:
Use the Compound Amount formula: A = P(1 + r/n)^(nt), where:
P is the original principal; r is the interest rate as a decimal fraction; n is the number of compounding periods per year, and t is the number of years.
Then we have A = $1000(1 + 0.04/4)^(4*3), or
= $1000(1.01)^12 = $1126.03
I am really struggling with this question. please help.
Answer:
y = -2/3x + 1
Step-by-step explanation:
Step 1: Find slope
m = (-1 - 3)/(3 + 3)
m = -2/3
y = -2/3x + b
Step 2: Find b
-1 = -2/3(3) + b
-1 = -2 + b
b = 1
Step 3: Write equation
y = -2/3x + 1
cot(45-A)=tan2A+ sec2A
Answer:
See picture.
Step-by-step explanation:
WILL GIVE BRAINLIEST. PLEASE HELP. In order to inscribe a circle in a triangle, the circle's center must be placed at the incenter of the triangle. True or false?
Answer:
True
Step-by-step explanation:
In order to inscribe a circle in a triangle, the circle's center must be placed at the in center of the triangle, is true. the in center also is a point where the bisectors of the angles meet.
Enter values to complete the table below.
Answer: The answers are in the steps
Step-by-step explanation:
x y value of y/x
-3 -3 1
1 1 1
3 3 1
If a cone is 5 meters tall and has a radius of 3 meters, What is its volume?
15π m3
60π m3
45π m3
30π m3
Answer: 15π m³
Step-by-step explanation:
Volume of a cone = 1/3πr²h
where,
r = radius = 3 meters
h = height = 5 meters
Volume = 1/3πr²h
Volume = 1/3 × π × 3² × 5
Volume = 1/3 × π × 9 × 5
Volume = 1/3 × π × 45
Volume = 45π/3
Volume = 15π m³
Plz help me out with these problems.
Please answer this fast in 2 minutes
Answer: angles EBA and HBI are congruent
Step-by-step explanation:
they are the congruent because they are verticle angles
Explain how to determine the solutions to a quadratic equation, graphically.
Answer:
In a nutshell, you have to graph the parabola. Where the parabola intersects the x-axis is the solutions to the quadratic equation.
hi can you help me i can’t move forward if i skip this question.
Marcie can mow 9 lawns every 14 hours. How many lawns can she mow in 49 hours?
Answer:
Number of lawns mow in 49 hours = 31.5 lawns
Step-by-step explanation:
Given:
Number of lawns mow = 9
Time taken = 14 hours
Find:
Number of lawns mow in 49 hours
Computation:
Time taken for 1 lawn = 14 / 9
Number of lawns mow in 49 hours = 49 / Time taken for 1 lawn
Number of lawns mow in 49 hours = 49 / (14/9)
Number of lawns mow in 49 hours = 31.5 lawns
6x + 7y + x-8y = 7x - y
Write down three other expressions that are equal to 7x - y
Answer:
It's pretty easy! You can manipulate the numbers to match the equation.
For example,
x + 8y + 6x - 9y = 7x - y
5x + 2x - 2y + y = 7x - y
10x + 7y - 3x - 8y = 7x - y
The other equivalent expressions that are equal to 7x - y could be; x + 8y + 6x - 9y = 7x - y, 5x + 2x - 2y + y = 7x - y and 10x + 7y - 3x - 8y = 7x - y
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; that can also be used to indicate the logical syntax's order of operations and other features.
We have been given the expression as;
6x + 7y + x-8y = 7x - y
When someone asks to solve an equation, then it usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
The other equivalent expressions that are equal to 7x - y could be;
x + 8y + 6x - 9y = 7x - y
5x + 2x - 2y + y = 7x - y
10x + 7y - 3x - 8y = 7x - y
To know more about an expression follow;
brainly.com/question/19876186
#SPJ5
Solve for xif mZRQS = 2x+4 and mZTQS = 6x+ 20.
180
19.5
-4
90
Answer:
x= -4
Step-by-step explanation:
2x+4=6x+20
so 2x-6x=20-4
divide both sides by -4
-4x/-4 = 16/4
=-4
can you plz help me??? Gwen wants to create a congruent shape to the one she made. Her regular pentagon has a perimeter of 24.2 cm. What is going to be the length of the sides in the shape that she creates? A. 4.84 cm B. 5.84 cm C. 9.68 cm D. 121 cm
Answer:
The answer is A) 4.84 cm :P
Step-by-step explanation:
Gwen wants to create a congruent shape, so, all the sides have to be the same size. And if its a pentagon like in your situation , a pentagon has 5 sides so you have to divide 24.2 cm because it's your regular pentagon by 5 (sides) (24.2 cm ÷ 5 sides = 4.84 cm )
I hope I helped you :P
Answer:
The answer is A.
Step-by-step explanation:
A polynomial is factored using algebra tiles. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 15 tiles are in the Product spot in 3 columns with 5 rows: 1 is labeled + x squared, 2 are labeled + x, the 4 tiles below + x squared are labeled negative x, and the 8 tiles below the + x tiles are labeled negative. Which polynomial was factored? x2 – 2x – 8 x2 + 2x – 8 x2 – 2x – 4 x2 + 2x – 4
Answer:
x² - 2x - 8
Step-by-step explanation:
Algebra tiles are tiles used to represent variables or numbers and are rectangular or square shaped.
1 is labeled + x squared, this gives x²
2 are labeled + x, this gives +x × 2 = +2x
4 tiles below + x squared are labeled negative x, this gives - x × 4 = - 4x
8 tiles below the + x tiles are labeled negative, this gives -1 × 8 = -8
Therefore to get the polynomial that was factored, we add all the terms. This gives :
+x² + (+ 2x) + (-4x) + (-8) = x² + 2x - 4x - 8 = x² - 2x - 8
Answer:
The answer is A, and if edge is being weird the answer is x^2-2x-8, Have fun dreamers!
Step-by-step explanation:
Kevin cuts lawns during the summer months. He charges $10 plus $5 per hour. The algebraic model is C = 5h + 10, where C represents the total cost and h represents the hours worked. Use pencil and paper to create a table of values for hours worked from 1 to 5, incrementing h by 1 in each row.
Answer:
1 hour : 15 dollars
2 hours: 20 dollars
3 hours: 25 dollars
4 hours: 30 dollars
5 hours: 35 dollars
Step-by-step explanation:
Substitute the hour number in for h and solve. for example, if you were trying to find 5 hours, you would produce the equation c = 5(5) + 10. once you solve that you get c = 25 + 10 which is also c = 35.
A pack of cards is numbered 1 to 24. A card is chosen at random. Find the probability that the number on the card is divisible by 2 or 3
Answer:
Step-by-step explanation:
It's simple. So the only cards which are divisible by 2 or 3 are: 2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24. The formula of probability is P= m/n. Where m-Number of ways it can happen and n- Total number of outcomes.
Our answer is P= 16/24=2/3=66,66%
what was Tomas's first error
Answer:
6 + 6y + 6 = 12 + 6
Step-by-step explanation:
2(3) + 6y = 12
Multiply 2(3).
6 + 6y = 12
Subtract 6 on both sides, so y variable is isolated.
6 + 6y - 6 = 12 - 6
6y = 6
Divide by 6 on both sides.
6y/6 = 6/6
y = 1
The solutions to 2x2 + 8x + 4 = 0 are x = -87,32. Choose the simplified form
of these solutions.
Answer: D
Step-by-step explanation:
Answer:
the answer is "C"
Step-by-step explanation:
i just took the test
Which of the following equations is graphed below?
Answer: 3rd answer choice
Step-by-step explanation:
Answer: 4th answer choice
Step-by-step explanation:
The first law of thermodynamics states that ΔE= Q− W. Is this also a statement of the principle of conservation of energy? No, the heat that is added to the system is only used to do work. No, the change in internal energy is the energy lost in the system. Yes, the heat added and the change in internal energy of the gas equal the work done by the piston. Yes, the heat that flows into the system is used to change the internal energy of the gas and becomes work done by the piston.
Answer:
yes
Step-by-step explanation:
as we see in the picture the variation of the internal energy of a system is W-Q by analogie we get the second relation in the 2nd picture wich is the first law of thermodynamics
Answer:
Yes, the heat that flows into the system is used to change the internal energy of the gas and becomes work done by the piston.
Step-by-step explanation:
I took the K12 test :)
John is standing at the point (-4,-8) and his friend Victor is standing at the point (-4,12). Find the distance between them. A. 20 units
B. -20 units
C. 28 units
D. -28 units
Answer:
20 unitssolution,
Let the points be A and B
A(-4,-8)--->(X1,y1)
B(-4,12)---->(x2,y2)
Now,
[tex]ab = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \: \: \: = \sqrt{ {( - 4 - ( - 4)}^{2} + 12 - ( - 8) ^{2} } \\ \: \: \: \: = \sqrt{ {( - 4 + 4)}^{2} + {(12 + 8)}^{2} } \\ = \: \: \: \: \sqrt{ {(0)}^{2} + {(20)}^{2} } \\ \: \: \: \: = \sqrt{0 + 400} \\ \: \: \: = \sqrt{400} \\ \: \: = \sqrt{ {(20)}^{2} } \\ \: \: = 20 \: units[/tex]
Hope this helps..
Good luck on your assignment...
please help me I really need help
Answer:
NS ≈ 79.3 m∠PNS ≈ 30.3°Step-by-step explanation:
The length PN is the diagonal of a rectangle that is 33 m by 60 m. Its length can be found from the Pythagorean theorem.
PN² = 33² +60² = 4689
PN = √4689 ≈ 68.476 . . . meters
Diagonal NS is the hypotenuse of triangle PNS. Once again, the Pythagorean theorem can be used to find its measure.
NS² = PN² +PS² = 4689 +1600 = 6289
NS = √6289
NS ≈ 79.3 . . . meters
__
We have the side adjacent (PN) and the side opposite (PS) to angle PNS, so we can use the tangent function to find the angle:
tan(PNS) = NS/PN = 40/68.476
∠PNS = arctan(40/68.476)
∠PNS ≈ 30.3°
Select all that are true.
Answer:
1
2
6
Step-by-step explanation:
1/2 +1/2 =1
length 1/2 ×4=2
wide 1/2 ×3 =1 1/2
height 1/2×3= 1 1/2
Non-
n
14. Two packages weigh 3.92 pounds and
2.8 pounds. How many times heavier
is the first package than the second?
07 times
Hey there!
Let's think of this with a simpler example. Let's say one package is 4 pounds and one is 2 pounds. How many times heavier is the first than the second?Well, two, because the first package is double the weight of the second package! It's twice as heavy! And to get to that number, we divide four by two!
So, in our actual problem, we just divide 3.92 (bigger package) by 2.8 (smaller package).
3.92÷2.8=1.4
So, the first package is 1.4 times heavier than the first one!
Have a wonderful day!
Approximately how many seconds would it take for the Mississippi River( 16,790 cubic meters per second) to fill the volume of the Gulf of Mexico(2,434,000,000,000,000)? Choice A : 1 *10^9 Choice B : 1* 10^10 Choice C : 1 * 10^11
Answer:
1 * 10^11
Step-by-step explanation:
Take the gulf of mexico and divide by the rate to get the number of seconds
2,434,000,000,000,000 / 16790
Change each to scientific notation
2 * 10 ^15/ 1.6 *10^ 4
Rounding
2 * 10^15 / 2 * 10^4
Dividing the numbers 2/2 =1
Dividing the exponents means subtracting the powers = 10 ^(15-4) = 10 ^1
1 * 10^11
The radius of the circle shown below is 17 yards. What is the length
of the 300 degree arc?
Round your answer to the nearest whole number.
17 yd
300°
Answer:
The length of the arc is 89 yards
Step-by-step explanation:
Mathematically, to find the length of an arc, we use the formula below;
Length of an arc = Theta/360 * 2 * pi * r
In this case, Theta = 300 and r = 17 yards
Length of the arc = 300/360 * 2 * 22/7 * 17 = 89.047619047583 which is 89 yards to the nearest yard
Please someone help me on these questions
Hey there! :)
Answer:
a) 24 cm²
b) 40.04 cm²
--------------------
Use the formula A = l × w to solve for each rectangle's area:
a)
8 × 3 = 24 cm².
b)
5.2 × 7.7 = 40.04 cm²
Answer:
a) 24
b) 40.04
Step-by-step explanation:
a) Area of a rectangle: length x width
length = 8
width = 3
Plug these values into the equation above:
8 x 3 = 24
b) Same steps as above except with different values for length and width
5.2 x 7.7 = 40.04