Answer:
6t-5
x should be the constant term. just guess
Answer:
I think the answer is 6t-5 I don't really know.
Step-by-step explanation:
PLEASE HELP I AM SO STUCK. IT IS DUE ~TOMORROW.
Answer:
[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]
Step-by-step explanation:
C = (0, 7)
Since, point A lies on y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.
Therefore, plug x = 0 in y = 2x +1, we find:
y = 2*0 + 1 = 0 + 1 = 1
Hence, coordinates of point A are (0, 1).
Now, by distance formula:
[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]
[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]
[tex] AC= \sqrt{0 +36 }[/tex]
[tex] AC= \sqrt{36 }[/tex]
[tex] AC= 6\: units[/tex]
Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:
[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]
[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]
[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]
[tex] CB =\frac{6}{2.24} [/tex]
[tex] CB =2.68\: units [/tex]
By Pythagoras Theorem:
[tex] AB=\sqrt{AC^2 - CB^2} [/tex]
[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]
[tex] AB=\sqrt{36 - 7.18} [/tex]
[tex] AB=\sqrt{28.82} [/tex]
[tex] AB=5.36842621\: units [/tex]
[tex] AB\approx 5.37\: units [/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]
[tex] A(\triangle ABC) = 7.1958[/tex]
[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]
The time,
T
(seconds), it takes for a pot of water to boil is proportional to the amount,
A
(litres), of water.
It takes 190 seconds to boil 2.1 litres of water.
Work out how long it takes (to the nearest second) to boil 2.5 litres.
Answer:
4 minutes
Step-by-step explanation:
A rectangular prism and it’s dimensions are shown in the diagram. What is the total surface are of the rectangular prism in square feet?
Answer:78.5
Step-by-step explanation:
The total surface area of the rectangular prism shown is 78.5 feet².
What is Rectangular Prism?Rectangular prism is a three dimensional shape which consist of six faces. The two faces are at the top and bottom and the other faces are lateral faces.
The surface area of a rectangular prism can be calculated as,
Surface area = 2 (lw + wh + lh)
Here l is the length, w is the width and h is the height of the rectangle.
From the figure,
l = 4.5 feet
w = 4 feet
h = 2.5 feet
Surface area = 2 [ (4.5 × 4) + (4 × 2.5) + (4.5 × 2.5)]
= 2 [18 + 10 + 11.25]
= 2 × 39.25
= 78.5 feet²
Hence the surface area is 78.5 feet².
Learn more about Rectangular Prism here :
https://brainly.com/question/21308574
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If the area of a sector is 100 ft^2 and the radius of the circle is 22 ft what is the central angle measure for that sector and what is the length of the arc
Answer:
[tex]\displaystyle \theta=0.413\ rad[/tex]
L= 9.086 feet
Step-by-step explanation:
Area of a Circular Sector
Given a circle of radius r, the area of a circular sector defined by a central angle θ (in radians) is given by
[tex]\displaystyle A=\frac{1}{2}r^2\theta[/tex]
And the length of the arc is:
[tex]L=\theta r[/tex]
We know the area of the sector is 100 square feet and the radius is r=33 ft, thus:
[tex]\displaystyle 100=\frac{1}{2}r^2\theta[/tex]
Solving for θ:
[tex]\displaystyle \theta=\frac{200}{r^2}[/tex]
[tex]\displaystyle \theta=\frac{200}{22^2}[/tex]
[tex]\displaystyle \theta=0.413\ rad[/tex]
The arc length is:
[tex]L=0.413* 22[/tex]
L= 9.086 feet
A family has a newborn baby and decides to invest $300 into an account that will earn interest. They plan to give her the full amount of money in the account on her 18th birthday. They have two choices: Option 1: An account that grows by 12% each year Option 2: An account that grows by $30 each year. Which option will result in a better 18th birthday gift? Justify your choice and explain your reasoning.
Option 1 is better. 12% of $300 is $36, so even in just the first year, it grows by $6 more than if they picked the other option. I hope this helps :)
Please help me simplify the equation.
Answer:
9e^-10x
Step-by-step explanation:
that's the simplified answer
What is the sum of
-2/9 + 5/9
Answer:
3/9 i think
Step-by-step explanation:
7x 1 1/5 enter answer as a mixed number
The answer is
[tex]8 \frac{2}{5} [/tex]
in a survey 3 out of 5 people preferred rice to noodles if 75 people were surveyed how many preferrd rice
The diameter of a circle is 7 m. Find the circumference to the nearest tenth
Answer:
22 m
Step-by-step explanation:
Diameter d = 7 m
Circumference of the circle C =?
[tex]C = \pi d = 3.14 \times 7 \\ \\ C= 21.98 \: m\\ \\ C \approx 22.0 \: m[/tex]
PLEASE SOLVE ASAP!
Ms Liu has $40 to buy water and popcorn at the movie theater. Popcorn costs $8 per bag and water costs 3$ per bottle. Write an algebraic expression that can be used to find the amount of money Ms Liu will have left if she buys any number of bags of popcorn (p), and any number of bottles of water (w).
Solve the blanks.
The algebraic expression _____ represents the amount of money Ms. Liu will have left if she buys any number of bags of popcorn and bottles of water.
Ms Liu will have $____ left if she buys 3 bags of popcorn and 4 bottles of water.
part 1: 8p + 3w = 40
part 2: $4 left
Find the missing dimension of a triangle with a base of 14.2 yd and a area of 63.9 yd
Answer:
7.78
Step-by-step explanation:
first you need to divide both numbersthen you nullify the sumyv6bgu6g6ogi5 bakaPlease help a girl out I'm so confused
Answer:
Girl what kind of MATH IS THISSSSS
Step-by-step explanation:
Answer:
Step-by-step explanation:
It appears that the first column is 10(10) and 6(10)
the third column has 6(6) so perhaps top square is 6(10)=60
Can you make a math equation turn from + to x with the same numbers and get the same answer but the numbers dont have to be in the same order
Answer:
See explanations below
Step-by-step explanation:
Let the numbers be 2 and 2
Taking the sum using the plus(+) sign
2 + 2 = 4
Taking the product using the multiplication sign (×)
2×2 = 4
You can see that the answer to both expression are equal even by changing the sign from + to × that is;
2+2 = 2×2 = 4
LaTeX: P=R+C (solve for R)
Answer:
Step-by-step explanation:
Subtract C from both sides
R = P - C
Which of the following systems of linear equations has no solution?
Answer: 3rd option
Step-by-step explanation:
75%of 124 is what number
Answer:
75% of 124 is 93
Step-by-step explanation:
124 * 75%
= 124 * [tex]\frac{3}{4}[/tex]
= 31 * 3
= 93
Answer:
93
Step-by-step explanation:
75 / 100 x 124 = X
9300/ 100 = x
x = 93
Write a polynomial in standard form that represents the area of the shaded region.
Answer:
[tex]A=p^2-2p-3[/tex]
Step-by-step explanation:
The area for a triangle is given by:
[tex]\displaystyle A=\frac{1}{2}bh[/tex]
The base is p + 1 and the height is 2p - 6. Therefore:
[tex]\displaystyle A=\frac{1}{2}(p+1)(2p-6)[/tex]
Simplify the second term:
[tex]\displaystyle A=(p+1)(\frac{1}{2})(2p-6)=(p+1)(p-3)[/tex]
Distribute:
[tex]A=p(p-3)+1(p-3)[/tex]
Distribute:
[tex]A=p^2-3p+p-3[/tex]
Combine like terms:
[tex]A=p^2-2p-3[/tex]
Stan has a rectangular piece of carpet with an area of 23.4 square meters. The piece of carpet is 13 meters long. What is the width of the piece of carpet?
Answer:
The breadth of rectangular carpet is 1.8 m.
Step-by-step explanation:
We have,
The area of rectangular carpet that is 23.4 m²The length of carpet is 13 m.We know that,
= Area of rectangle = Length × Breadth
= 23.4 = 13 × Breadth
= 23.4/13 = Breadth
= 234/130 = Breadth
= 1.8 m = Breadth
__________________________14. If sin(35) = cos(x), what is x?
Answer:
x = 55
Step-by-step explanation:
Using the cofunction identity
sin35 = cos(90 - 35) = cos55
10 points and king crown extra 5+ points and pplease go to pic and answer it
Answer:
the answer is 30x+33
( Please help me on this question, thank you, <3 )
....................................................................................................................
Which number line can be used to find the distance between (4, –1) and (8, –1)?
A.) A number line going from negative 2 to positive 8 in increments of 1. Points are at 4 and 8.
B.) A number line going from negative 2 to positive 8 in increments of 1. Points are at negative 1 and positive 4.
C.)A number line going from negative 2 to positive 8 in increments of 1. Points are at negative 1 and positive 8.
D.) A number line going from negative 8 to positive 2 in increments of 1. Points are at negative 8 and negative 4.
............................................................................................................................................
A lot of people were saying it's C, or A, or even B. Please try to answer this question if you can, thank you again, <3
Answer:
A. I got it from edge
Step-by-step explanation:
Also give the person above brainliest
plzz help ASAPPPP
i need answers right now!!1
Answer:
ydyeheuuru u ieuegeoeororpe
find the value of x and y (5y-23) (2x+13) (3x) 47
Answer: I will tell you if you keep reading
Step-by-step explanation:
5y represents the mass of the sun and -23 is the degrees outside. So you have to find how many peices of chocolate bob has eaten in order to find the value (3x) 47
y < 2x + 9 solid or dotted line
Answer:
dotted
Step-by-step explanation:
when there is a line underneath the less than or equal to sign, it is solid, when there is not a line it is dotted.
Which equation best represents the comparison sentence
Answer:
5
Step-by-step explanation:
this is area of shaded region and i really need your help pls...
Answer:
4925cm^2
Step-by-step explanation:
whole thing - small thing = shaded
small = 25 x 25 = 625
whole thing = a+b / 2 x h = 111+111/2 x 50 = 5550
5550-625= 4925cm^2
sketch the graph of the inequality
y-3x>-2
To graph y-3x>-2, find the boundary line. (y > -2 + 3x is your answer)
1. Find the equation of the boundary line.
y-3x>-2 is the equation.2. Choose a point (x, y) on the shaded side on the line.
3. Plug x and y, in the boundary to identity the inequality sign.
What is the value of the expression? 18 - 2 x (4 + 3)
Answer:
=−14x+18
Step-by-step explanation:
happy to help ya :)
Answer:
112
Step-by-step explanation:
so you split the question by doing 18 - 2 then do 4 + 3 then you mutiply the answer
A 16-oz package of rice is $0.79. A 32-oz package is $3.49. Which has the lower unit cost?
Group of answer choices