Answer:
Area = 14.5
Step-by-step explanation:
Let's label the given coordinates A, B, C;
Thus;
A = (2, 3)
B = (-1, 0)
C = (2, -4)
From the coordinate geometry formula, the formula for area of a triangle with 3 vertices is;
Area = [Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)]/2
Area = [2(0 - (-4)) + (-1)(-4 - 3) + 2(3 - (-4))]/2
Area = 29/2
Area = 14.5
How many miles are equivalent to 800 meters? Round answer to the nearest hundredth.
0.50 miles
1.29 miles
2.62 miles
4.97 miles
Answer:
0.5miles
Step-by-step explanation:
800meters is 0.497097miles
Round 0.497097miles to the nearest hundredth which would be 0.5 miles.
What is 6.273 rounded to the nearest thousandths?
Answer:
6.270
Step-by-step explanation:
3 is below 5 so you just turn it into a 0. If it was 5 or above you would just add a number to the 7.
There are six different candidates for governor of a state. In how many different orders can the names of the can- didates be printed on a ballot
Answer: 720
Step-by-step explanation:
Given
There are 6 candidates for a state of governor
Here, order is important. So, the no different orders is given by permutations
[tex]\Rightarrow ^6P_6=\dfrac{6!}{(6-6)!}\\\\\Rightarrow ^6P_6=\dfrac{6!}{0!}\\\\\Rightarrow ^6P_6=720[/tex]
There are 720 different orders for the candidate name to be printed.
Let ABCD and EFGH be two quadrilaterals such that ABCD ~ EFGH. If AB = 15 cm, EF = 18 cm and the perimeter of ABCD is 40 cm, find the perimeter of EFGH.
Step-by-step explanation:
this photo is correct answer of this question.
Can someone help me with this question
Convert the percentage into a fraction,
3%=
100
Answer:
3% = 0.03 = [tex]\frac{3}{100}[/tex]
Answer: 3/100
Step-by-step explanation:
3%=0.03=3/100
Have a great day!!
How many terms are in the algebraic expression
Also, What do they mean by "Terms"
Answer:
There are 4 terms
Step-by-step explanation:
A term is a single mathematical expression. Terms can be identified with a plus or minus sign in front of them. Terms can also be multiplied and divided.
So, in this case, the terms are:
-7
12x^4
-5y^8
x
What is the solution to log Subscript 5 Baseline (10 x minus 1) = log Subscript 5 Baseline (9 x + 7)
Answer:
x = 8Step-by-step explanation:
Given:
log₅ (10x - 1) = log₅ (9x + 7)10x - 1 = 9x + 710x - 9x = 7 + 1x = 8▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
[tex]\sf{log_{5}}(\tt{10x-1})=\sf{log_{5}}(\tt{9x+7})\\\\10x-1=9x+7\\\\10x-9x=7+1\\\\\pmb{\green{\underline{\sf{x=\frak{8}}}}}[/tex]
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
f(x)=3^x+2 domain and range
Answer:
domain: (-∞ ,∞)
range: (2,∞ )
Step-by-step explanation:
Craig has a rectengular deck that measures 799 inches and 245 inches premeter and if the addtional deck is 33 inches longer,what legnth would it be? Answer
Answer:
The length of the lights is 2088 inches
Step-by-step explanation:
The question is mixed up with another (See comment for correct question)
Given
[tex]Length = 799in[/tex]
[tex]Width = 245in[/tex]
Required
The perimeter of the deck (this is what the question implies)
The perimeter (P) is:
[tex]P = 2 * (Length + Width)[/tex]
[tex]P = 2 * (799 + 245)[/tex]
[tex]P = 2 * 1044[/tex]
[tex]P = 2088[/tex]
Tom goes to the book fair where paperback books are $3 and hardback books are $5.50. Travis
buys three paperback and four hardback books. How much change will Travis receive from a $50
bill
1.Equation/Expression:
2. Solve:
Answer:
1: 50 - (3(3) + 5.5(4))=x
2: okay so we know how much books are brought and how much each cost.
In this case paper backs are 3 dollars each and cost 3 dollars each. So 3 (3) is 9 dollars. The next scenario are hardbacks which are 5.50 each and Tom brought 4 of them. So that makes it 5.5(4) which is 22 dollars. So the total would be 9+22 which is 31 dollars. The question asks for change from a 50 dollar bill which you subtract and 50-31=19
The change would be 19 dollars
Find the solutions of the equation 3x = x4, rounded to two decimal places. (Enter your answers as a comma-separated list.)
Answer:[tex]-0.802; \ 1.517[/tex]
Step-by-step explanation:
Given
[tex]3^x=x^4[/tex]
Here, two functions are given that is [tex]y=3^x[/tex] and [tex]y=x^4[/tex]
Check for the intersection of the graph of two curves
From the graph, they cut at two different points i.e. [tex]x=-0.802\ \text{and}\ x=1.517[/tex]
Rest two roots are negative.
Jorge compro en la papeleria 3 Borradores y 2 lápices, por ellos pago $47.50. si la suma de lo que cuesta un borrador y un lápizes $20 ¿cuanto vale cada borrador y cada lápiz?
Por favor es urgente
Answer:
Cost of each pencil = $12.5
Cost of each eraser = $7.5
Step-by-step explanation:
Given:
Number of eraser bought = 3
Number of pencil bought = 2
Total amount paid = $47.50
Cost of one pencil and one eraser = $20
Find:
Each cost
Computation:
Let;
Cost of each eraser = e
Cost of each pencil = p
So,
e + p = 20
e = 20 - p .................................... eq1
3e + 2p = 47.50
3(20 - p) + 2p = 47.50
60 - 3p + 2p = 47.50
-p = -12.5
Cost of each pencil = $12.5
e = 20 - p
e = 20 - 12.5
e = 7.5
Cost of each eraser = $7.5
HELP!!!!! meeeeeejejsjss
Answer:
[tex]3600[/tex]
Step-by-step explanation:
One is asked to find the cost of a vacation when given the following information;
Travel: 150
Hotel: 50 per day
Spending money: 250
One is asked to calculate the cost of the vacation for (4) people over the course of (7) days. In order to solve this problem, one must make a few assumptions.
- Each cost is per person, therefore one will have to multiply the cost by the number of people.
- The travel is per every one time, thus one will have to multiply it by (2) to account for the cost to travel back home.
- Everyone stays in their own hotel room, therefore, one must multiply the hotel cost by the number of people
- The spending money is for the entire vacation and not per day.
With these assumptions, one can form the following equaton;
x = number of people = 4
y = number of days = 7
[tex]travel\ cost= (2(x(150))\\\\hotel\ cost= (y(x(50))\\\\spending\ money= (x(250))\\\\total\ cost= (travel\ cost)+(hotel\ cost) + (spending\ money)[/tex]
Substitute,
[tex]total\ cost= (travel\ cost)+(hotel\ cost) + (spending\ money)[/tex]
[tex]total\ cost= 2(4(150))+(7(4(50))+(4(250))[/tex]
Simplify,
[tex]total\ cost= 2(4(150))+(7(4(50))+(4(250))[/tex]
[tex]total\ cost= 2(600)+(7(4(50))+(4(250))\\=2(600)+7(200)+4(250)\\=2(600)+7(200)+1000\\=2(600)+1400+1000\\=1200+1400+1000\\=2600+1000\\=3600[/tex]
What is the volume of the rectangular prism below? ⊕
Answer:
32cm³ is the volume of the given rectangle.
Step-by-step explanation:
volume of rectangle=l×w×h
2×4×432cm³hope it helps
stay safe healthy and happy..Answer:
bro i go to your school
lol
Step-by-step explanation:
Which equation will solve the following word problem? There are 36 tables and 7 booths in the family restaurant. Each table seats 4 people. If the restaurant can seat up to 184 people, what is the capacity of each booth?
(B * 7 ) - (36 * 4) = 184
7B + (36 * 4) = 184
184 - (36 * 4) = B/7
184/4 = B * 7
Answer:
7B + (36 * 4) = 184
Step-by-step explanation:
In a family restaurant there are 36 tables and 7 booths.
Each table can seat 4 people.
Let the number of people who can be seated in a booth be represented by B.
Total seating capacity of the restaurant is 184 people.
Expressing this as an equation:
Among the given options, this relation is expressed in the second option, namely, 7B + (36 * 4) = 184
2x²+10x+12 اريد مساعده
Answer:
2(x+2)(x+3)
Step-by-step explanation:
A line has slope 3 and y–intercept 4.
Which answer is the equation of the line?
Answer:
y= 3x+4
Step-by-step explanation:
Slope-intercept form of an equation is
y=mx+b
m=slope
b=y-intercept
Just plug the values in and you get y=3x+4
Find (f9)(x).
A.
B.
C.
D.
Answer:
(fg)(x) = (4x^2 + x^4)(x^2 + 4)^(1/2)
Step-by-step explanation:
Mathematically;
(fg)(x) = f(x) * g(x)
so we have;
4x^2 +x^4 * √(x^2 + 4)
But √(x^2 + 4) = (x^2 + 4)^(1/2)
So we have;
(fg)(x) = (4x^2 + x^4)(x^2 + 4)^(1/2)
1). What is the equation of the line that is perpendicular to y= -3x+1 that passes through the point (9,0)?
2). What is the equation of the line that is parallel to y= -3x+1 that passes through the point (9,0)?
Answer:
Step-by-step explanation:
1) Slope of the given line = -3
slope of the perpendicular line = 1/3
y - 0 = 1/3(x-9)
y = 1/3x - 3
2) slope of the parallel line = -3
y - 0 = -3(x-9)
y = -3x + 27
Answer:
1). y = 1/3x - 3 2).y = -3x + 27
Step-by-step explanation:
1). y = 1/3x + b
0 = 1/3(9) + b
0 = 3 + b
-3 = b
y = 1/3x - 3
2)/ y = -3x + b
0 = -3(9) + b
0 = -27 + b
27 = b
y = -3x + 27
is y=9x proportinal?
Answer:
yeah it is
y is directly proportional to x
proportionality constant is 9
Thanks for helping me two more problems
Answer:
A. Energy (weight)
Step-by-step explanation:
Mark me as brainiest
find the positive square root of 7.3441
2.71 is your answer
kqkdkwmd
Write the number in standard notation. 9.07 x 10−2
Answer:
Yeah, so that is right, just put it into a formula.
[tex]9.07*10x^{-2}[/tex]
A casserole is removed from a 375oF oven and cools to 190oF after 25 minutes in a room at 68oF. How long (from the time it is a removed from the oven) will it take the casserole to cool to 105oF
Answer:
57.3 minutes
Step-by-step explanation:
We know that the temperature as a function of time of an object is described by the equation:
[tex]T(t) = T_a + (T_0 - Ta)*e^{-k*t}[/tex]
Where:
k is a constant
Tₐ = room temperature = 68°F
T₀ = initial temperature of the object = 375°F
Replacing these in our equation we will get
T(t) = 68°F + (375°F - 68°F)*e^{-k*t} = 68°F + (307°F)*e^{-k*t}
And we know that after 25 minutes, at t = 25min, the temperature of the casserole is 190°F
then:
T(25min) = 190°F = 68°F + (307°F)*e^{-k*25 min}
Now we can solve this for k:
190°F = 68°F + (307°F)*e^{-k*25 min}
190°F - 68°F = (307°F)*e^{-k*25 min}
(122°F)/(307°F) = e^{-k*25 min}
Now we can apply the natural logarithm in both sides:
Ln( 122/307) = Ln(e^{-k*25 min}) = -k*25min
Ln( 122/307)/(-25 min) = k = 0.0369 min^-1
Then the temperature equation is:
T(t) = 68°F + (307°F)*e^{-0.0369 min^-1*t}
Now we want to find the value of t such that:
T(t) = 105°F = 68°F + (307°F)*e^{-0.0369 min^-1*t}
We can solve this in the same way:
105°F - 68°F = (307°F)*e^{-0.0369 min^-1*t}
37°F = (307°F)*e^{-0.0369 min^-1*t}
(37°F)/(307°F) = e^{-0.0369 min^-1*t}
Ln( 37/307) = -0.0369 min^-1*t
Ln( 37/307)/( -0.0369 min^-1 ) = 57.3 min
So after 57.3 minutes, the temperature of the casserrole will be 105°F
A nursery sells English, tea, and miniature rosebushes in red, pink, yellow, and white. How many
different types of rosebushes could you buy?
is this year 3 math? Its 4
What is the measure of angle R?
O 37°
O 53°
O 90°
O 97°
HELP PLEASE
The measure of the angle ∠R in the right-angle triangle will be 37°. Then the correct option is A.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
We know that the radius of the circle and the tangent line of the circle will intersect at the right angle which is 90°.
And the angles of the triangle will be supplementary angles. Then the equation is given as,
∠P + ∠Q + ∠R = 180°
53 + 90° + ∠R = 180°
∠R = 37°
The measure of the angle ∠R in the right-angle triangle will be 37°. Then the correct option is A.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ7
PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR
Answer:
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Answer:
¼. 1000
Step-by-step explanation:
25% = 25/100
= 1/4
Therefore,
25% of 1,000 is the same as
1/4. 1000
Express the following the number indecimal
form - 25
36
Answer:
0.6944
Step-by-step explanation:
25/36 is 0.6944 in division
find two rational number between 1/6 and 2/3
plz give me the ans
Step-by-step explanation:
the rational numbers between 1/6 and 2/3 are 2/6 ,3/6 .
Answer:
therefore the rational numbers between 1/6 and 2/3 are 2/6 ,3/6 .........