Answer:
17.6ft²Step-by-step explanation:
The formula for calculating the surface area of a triangular prism is expressed as shown below:
SA= bh + pH
b= base of the triangle
h- height of the triangle
p= perimeter of the triangle
H= height of the prism
Given b = 1foot
h = 2feet
perimeter of the triangle = sum of all its sides = 1ft + 2ft + 2.2ft
p = 5.2ft
H = 3ft
Substituting the values into the formula for finding the surface area:
SA = 1(2)+5.2(3)
SA = 2+15.6
SA = 17.6ft²
The surface area of the triangular prism is 17.6ft²
Answer:
69 ft^2
Step-by-step explanation:
Which statement about the parabola is not true?A. The focus lies on the axis of symmetry.B.The directrix of the parabola is parallel to the axis of symmetry.C. Each point on the parabola is equidistant from the directrix and the focus
Answer:
Option B
The directrix of the parabola is parallel to the axis of symmetry
Step-by-step explanation:
The directrix of the parabola is not parallel to the axis of symmetry. It is as a matter of fact, perpendicular to it.
A parabola is actually a set of points that are equidistant from a given point, the focus, and a given line the directrix.
The axis of symmetry is a line that divides the parabola into two equal halves and it always passes through the focus.
The directrix of the parabola is always perpendicular to this axis of symmetry as they always intersect at right angles.
We want to see which one of the given statements is false. We will see that the false one is B: "The directrix of the parabola is parallel to the axis of symmetry"
So in a parabola, we define the axis of symmetry as the vertical line that divides the parabola in two equal parts.
For a general parabola:
y = a*x^2 + b*x + c
The line of symmetry is at:
x = -b/2a
While we know that in a parabola the directrix is a horizontal line.
So the axis of symmetry and the directrix are perpendicular lines.
Then the statement that is false is B: "The directrix of the parabola is parallel to the axis of symmetry"
If you want to learn more, you can read:
https://brainly.com/question/3283347
A waitress serves $950. Worth of dinners and recieves &95.00 in tips how much less in tips did she receive if she had gotten her 15% of the cost of meals
Answer:
She receives $47.5 less
Step-by-step explanation:
Now, the first thing to do here is to calculate what 15% if the total amount is
That would be 15/100 * 950 = $142.5
The amount she receives less is thus $142.5 -$95 = $47.5
Answer:
The amount less that she received than if she had received 15% of the cost of the meal is $47.5
Step-by-step explanation:
Here we have the amount of dinners served by the waitress = $950
Amount received in tips = $95.00
Amount the waitress would have received if she had gotten 15% of the cost of meals served = 15/100 × $950 = $142.5
Therefore, since she received $95.00, the amount less that she received than if she had received 15% of the cost of the meal is thus;
$142.5 - $95 = $47.5.
Describe when you would need to solve a system of linear equations, instead of a single linear equation
Answer:
See explanation below
Step-by-step explanation:
A system of linear equations is a system that is formed when you have two or more variables, for example:
[tex]x=2y+z\\3y-4x=7y+2z\\2y+z=4x+3y[/tex]
In this case, we have 3 equations with 3 variables in total (x, y and z). Thus, we would need to solve a system of linear equations (they are linear because none of the variables have exponents).
On the other side, a single linear equation has only one variable that we need to find, for example:
[tex]3x=\frac{5}{3}[/tex]
In this case we would just have to solve for x
[tex]3x=\frac{5}{3} \\9x=5\\x=\frac{5}{9}[/tex]
Thus, we need to solve a system of linear equations when we have more than one variable (and more than one equations) as opposed to when we have just one variable and a single equation (single linear equation)
need help asap will mark brainliest
Answer:
1725 ft²
Step-by-step explanation:
[tex]\frac{50+65}{2} *30[/tex] = [tex]\frac{115}{2} *30= 57.5*30 = 1725[/tex]
Answer:
1,950 ft
Step-by-step explanation:
it is a compound shape, thus it is made up of a square and a triangle
you can find the area of the square by 30 x 50 and the area of the triangle by 30 as the height and 65 - 50 as the base, and when you add it together you get 1,950
The ratio of the number of left handers to the number of right handers in a middle school is 6:15. If there are 120 left handers, how many right handers are there? (WILL GIVE BRAINLIEST)
Answer:
300 right handers
Step-by-step explanation:
Answer:
The answer is 300 right handers.
Step-by-step explanation:
I looked up the question on google, and found the workbook that it came from. Towards the bottom of the book is the answers so I matched the question to the list of answers and found that it is 300 right handers.
Find the equation of the line parallel to 2y-3x= 4 and passing through the point (6,7)
Answer:
We have equation of a line:
2y - 3x = 4 => y = (3/2)x + 4
The equation of the line that is parallel to above line and passes through the point (6, 7) would have form y = ax + b, and
a = 3/2
6a + b = 7
=> b = 7 - 6a = 7 - 6 x 3/2 = 7 - 9 = -2
=> The equation of that line: y = (3/2)x - 2
Hope this helps!
:)
the perimeter of a circle is 132 calculate its diameter
Answer:
42
Step-by-step explanation:
The perimeter of circle is same as it’s circumference.
Circumference = π * D
132 = 22/7 * D
22D = 7 * 132
22D = 924
D = 924/22
D = 42
Answer:
42.0
Step-by-step explanation:
For this question we are given the circumference of a circle which is 132 and we are asked to find diameter of the circle. We need to utilise one important formula which the circumference of a circle formula
⇒ Circumference of a circle = π × d
We need to make 132 equal to the circumference of a circle formula so then we can work out the diameter by forming an equation to solve for the diameter so,
⇒ Form the equation
→ π × d = 132
⇒ Divide both sides by π to isolate d
→ d = 42.0169049763
The diameter of the circle with a perimeter of 132 is 42.0 to 1 decimal place
The experimental probability that a blue car will pass in front of joe's house is 25%. If 24 cars pass joe's house on Tuesday, how many of the cars are expected to be blue?
A 4
B 8
C 5
D 6
Answer:
B Will be your answer
Answer:
idk
Step-by-step explanation:
idk
The points (0, 1), (1, 5), (2, 25), and (3, 125) are on the graph of a function. Which equation represents that function?
Answer:
Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated
Step-by-step explanation:
Answer:
D, f(x)=5x
got it right
Mrs. Dominguez asked her students to plot the number of books they read over the summer.
Using the dot plot, how many students read two books?
1
2
3
6
Answer:
6
Step-by-step explanation:
Answer:
6 students read 2 books
How many 5 card hands are possible with four black cards and one red card?
Answer:
1 i believe
Step-by-step explanation:
Using the distributive law, work out
the solution for the following:
87 x 63 + 87 x 37
Answer:
the answer is 8700
Step-by-step explanation:
(87 x 63) + (87 x 37)= 8700
hope this helps :-)
What is the probability of Red and yellow?
What is the probability of NOT BROWN?
What is the probability of Purple?
Answer:
3/8 for red and yellow
1 for not brown
0 for purple
Step-by-step explanation:
Answer:
probability of red and yellow: [tex]\frac{3}{8}[/tex]
probability of not brown: [tex]\frac{8}{8}[/tex]
probability of purple: [tex]\frac{0}{8}[/tex]
Step-by-step explanation:
The denominator will always be 8 because that is the total number of things that could be spun. The numerator will change based on the question.
how to get the answer ?
Answer:
c
Step-by-step explanation:
it has to be a negative graph so a and d aren't right and the y intercept is 3 so c is right
Answer:
the answer is C
Step-by-step explanation:
1st step to write the slope intercept form then first u need to find the two points that ur going to use, then u get the slope
FIND THE SLOPE:
point 1: (2,0)
point 2: (0,3)
slope= y2-y1/x2-x1
s= 3-0/0-2
s= -3/2
2nd step is to find the y-intercept, to find that u take the slope intercept form which is y=mx+b
m=slope
b=y-intercept
and now substitute the variable for the known value
pick any of the two points, so u can substitute the variable X and Y
x=2
y=0
b=-3/2
0=2(-3/2)+b
solve to find B
distribute 2
2(-3/2)=-6/2 or -3
0=-3+b
and now add 3 to both sides
0+3=-3+3+b
b=3
now the slope intercept formula is y=-3/2x+3
to check the answer u can substitute the X and Y of one of the points and see if u get the solution as 0 or 3 (it depends on which point u chose)
hello I don't know how to do this, can somebody explain me? Graph the linear function w(x)= 3/5x+2
Answer:
okay so u have a graph
u go to the center 0,0
u go up 2 places
then up 3 ove to the left 5
the repeat that step
u get it
Step-by-step explanation:
Angelica started with half a tank of gas in her car, and she used of that. Write an equation in the text box. Solve to show how much of a full tank she used.
Ans
Step-by-step explanation:
Let one full tank = x
Then by the given statement, Angelica started with x/2
Suppose she used half of that, then,
x/4. So that x/4 - x/2 = x/4
This implies that she travelled half the distance she would have, using a full tank.
Suppose her destination requires 3 full tanks, then she would stop three times for a refill.
A ball is thrown into the air with an upward velocity of 13 ft/s. Its height h in feet after t seconds is given by the function h = −2t^2+ 13t + 24. In how many seconds does the ball reach its maximum height?
Answer:
3.25 seconds
Step-by-step explanation:
The maximum height will occur when the velocity of the ball reaches zero in the air.
Velocity is given as the derivative of height, dh/dt.
The equation of height given is:
[tex]h = -2t^2+ 13t + 24[/tex]
Differentiating height, h, with respect to time, t, we have:
[tex]v = dh/dt = -4t + 13[/tex]
When v = 0:
[tex]0 = -4t + 13\\\\=> 4t = 13\\\\t = 13 / 4 = 3.25 secs[/tex]
Therefore, it will take 3.25 seconds for the ball to reach maximum height.
vvvvvvv help me plzzzzzzzzzzzzzzz
Answer:
the answer is 0
Step-by-step explanation:
she had -27 in her bank the she added 27
How many ways can Gary, Cayla, and
Pinak finish a bicycling race in first, second,
and third place?
Answer:
6
Step-by-step explanation:
G,C,P
C,P,G
P,G,C
G,P,C
P,C,G
C,G,P
pls pls pls pls pls pls pls pls pls pls help
an airplane takes off from an airport at 11 am. fifteen minutes later, its shadow is 360000 feet away from the take off point and its altitude is 24000 ft. what is the exact distance the plane traveled in 15 minutes
Answer:
what grade are you in so i can help
Step-by-step explanation:
Find the volume of the cone khan academy
Answer:
V= 1/3 pi*r^2*
Step-by-step explanation:
The reason the volume of a cone involves using the fraction 1/3, is because it takes three cones to fill up a cylinder. So, if the volume of a cylinder is pi*r^2*h, and a cone is 1/3 the size, then the volume of a cone(which uses the same formula) has to have the 1/3rd in front.
On your birthday you receive an iPhone valued at $899. The value of the iPad decreases by 25% each year. What will its value be 4 years from now?
Answer:
284.765625
Step-by-step explanation:you get by subtracting 25% from 900 4 times
Answer: 56.18
Step-by-step explanation: if you know about the line equals line method, that should be able to help.
224.75 25%
----------------=-----------------
899 100%
you then cross multiply 899 and 25 then divide it by 100.
that will be the drop per 1 year so than divide 224.75 with 4 and then your answer should be 56.18
Solve the system of equations and choose the correct ordered pair.
3x+2y= 12
6x + 3y = 21
A. (3,2)
B. (4.0)
C. (4,3)
D. 2, 3)
Answer:
(D)
Step-by-step explanation:
Solve by graphing:
Use a graphing tool to graph the lines 3x+2y= 12 and 6x + 3y = 21.
The line intercept at (2,3).
Therefore, option D is the correct answer.
Brainiest Appreciated.
last question, please help.
Answer:
i thought it was just the area i dont know how to do literal area yet sorry
Step-by-step explanation:
what is -13/6 as a repeating decimal
Answer:
-2.16 repeating
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
If f(x)=5x2−3x+8, find f(0)
Answer:
8
Step-by-step explanation:
f(x)=5x^2−3x+8
Let x=0
f(0) = 5(0) -3(0) +8
= 8
Please answer this question
x^2 = 11x
[tex] {x}^{2} = 11x \\ {x}^{2} - 11x = 0 \\ x(x - 11) = 0[/tex]
Product is equal to 0 when one of multipliers is equal to 0, so
[tex]x = 0[/tex]
Or
[tex]x - 11 = 0 \\ x = 11[/tex]
Answer: x=0 or x=11
Answer:
Step-by-step explanation:
x^2 = 11x
x ( x − 11 ) = 0
x = 0 (by transposing)
x − 11 = 0
x=11 (by transposing)
therefore, x= 0,11
Hope it Helps...pls Mark as Brainliest!!
What is the slope of the line through (-2,-6)(−2,−6)left parenthesis, minus, 2, comma, minus, 6, right parenthesis and (2,2)(2,2)left parenthesis, 2, comma, 2, right parenthesis?
Answer:
The slope of the line through (-2,-6) and (2,2) is 2
Step-by-step explanation:
The slope of the line through the two points; (-2,-6) and (2,2) is; 2
According to. the equation;
We are required to find the slope of the line through; (-2,-6) and (2,2)The slope, m is therefore;
Slope, m = (2 -(-6))/(2 -(-2))Slope, m = (2+6)/(2+2)Slope, m = 8/4Slope, m = 2.
Read more;
https://brainly.com/question/16949303
Trigonometry!! Please Help picture attached
Answer:
[tex]\sin B=\dfrac{3\sqrt{58}}{58}[/tex]
[tex]\cos B=\dfrac{7\sqrt{58}}{58}[/tex]
[tex]\tan B=\dfrac{3}{7}[/tex]
Step-by-step explanation:
The sine of an angle is the length of the opposite side divided by the length of the hypotenuse, which in this case is[tex]\frac{3}{\sqrt{58}}=\frac{3\sqrt{58}}{58}[/tex]. The cosine is the adjacent side divided by the hypotenuse, which in this case is [tex]\frac{7}{\sqrt{58}}=\frac{7\sqrt{58}}{58}[/tex]. The tangent is the length of the opposite side divided by the length of the adjacent side, which in this case is simply [tex]\frac{3}{7}[/tex]. Hope this helps!
which best describes the diameter of a circle
Answer: The distance across the middle of the circle
Step-by-step explanation:
