Answer:
[tex]b = 74\ cm[/tex]
Step-by-step explanation:
The volume of a prism is given by the following equation:
[tex]Volume = base\ area * height[/tex]
In our case, the base is a triangle, so the area is given by:
[tex]base\ area = base * height_{\Delta}/2[/tex]
The base of the triangle is 43 cm, the height of the triangle is b, the height of the prism is 24 and the volume of the prism is 38,184, so we have:
[tex]base\ area = 43 * b/2 = 21.5b[/tex]
[tex]38184 = 21.5b * 24[/tex]
[tex]b = 38184/(24*21.5)[/tex]
[tex]b = 74\ cm[/tex]
Can someone help me find the surface area
Answer:
144 m²
Step-by-step explanation:
top triangle area: (8 x 6) / 2 = 24
bottom triangle area: (8 x 6) / 2 = 24
back rectangle area: 8 x 4 = 32
left rectangle area: 6 x 4 = 24
right rectangle area: 10 x 4 = 40
add all: 144 m²
Answer:
There are 5 surfaces for which you will have to calculate area.
the back is 4 by 8 = 32 mi^2
The bottom is 4 by 6 = 24 mi^2
the tilted ramp 4 by 10 = 40 mi^2
There are 2 side triangles 8 by 6 area of 1 triangle = 8*6/2 = 24 mi^2
area of BOTH triangles = 2 * 24 = 48 mi^2
Total area = 32 + 24 + 40 + 48 = 144 mi^2
Step-by-step explanation:
What are the coordinates of the vertex of the function f(x)=x2+ 10x-3?
O (-5. -28)
(-5, 28)
O (5,-28)
(5.28)
Answer:
(-5,-28)
Step-by-step explanation:
Use the vertex form y=a(x-h)^2
a=1
h=-5
k=-28
vertex=(h,k)
Answer: A. (-5, -28)
Step-by-step explanation:
f(x) = x² + 10x - 3
a=1 b=10
The axis of symmetry is the x-coordinate of the vertex:
[tex]AOS: x=\dfrac{-b}{2a}\quad =\dfrac{-(10)}{2(1)}=-5[/tex]
Input x = -5 into the original equation to find the y-coordinate of the vertex:
f(-5) = (-5)² + 10(-5) - 3
= 25 -50 -3
= -28
x, y coordinate of the vertex is: (-5, -28)
A city counsel has a square lot to place a playground. They plan to place a diagonal of trees to create two distinct play areas. To determine if there is enough money in the budget, they needs to know the distance. If the length of each side of the lot is 45 m, how long is the diagonal?
Answer:
66.63
Step-by-step explanation:
To find the diagonal length, use Pythagorean’s theorem.
Diagonal = √45^2 + 45^2 = √2025+2025 = √4050 = 63.63.
Hope this helps
whats the answer to that ?
Answer:
11 and 2/3.
Step-by-step explanation:
6 and 3/12 = 72/12 + 3/12 = 75/12.
5 and 5/12 = 60/12 + 5/12 = 65/12.
75/12 + 65/12 = 140 / 12 = 70 / 6 = 35 / 3 = 11 and 2/3.
Hope this helps!
Answer: 11 2/3
Step-by-step explanation:
[tex]6\frac{3}{12}+5\frac{5}{12}[/tex]
[tex]Add\:whole\:numbers[/tex]
[tex]6+5=11[/tex]
[tex]Combine\:fractions[/tex]
[tex]\frac{3}{12}+\frac{5}{12}=\frac{8}{12}[/tex]
[tex]Simplify[/tex]
[tex]\frac{8}{12} =\frac{2}{3}[/tex]
[tex]11+\frac{2}{3}[/tex]
[tex]=11\frac{2}{3}[/tex]
2 There are x fish in a pond.
Omar puts 5 more fish in the pond.
How many fish are in the pond now?
Answer:
x+5
Step-by-step explanation:
We are adding fish
There were x and then we added 5
There are now
x+5
Answer:
x+5
Step-by-step explanation:
since there are x fish, adding five more would make it x+5
How many times does the graph of the function below intersect touch the x-axis? y= -3x^2 + x + 4
Answer:
2 times
Step-by-step explanation:
Well let's first graph the quadratic equation,
Look at the image below ↓
By looking at the image below we can tell that the graph touches the x axis 2 times at,
(-1,0)
(1 1/3,0)
Thus,
the parabola touches the x axis twice.
Hope this helps :)
Answer:
3
Step-by-step explanation:
Sorry for the bad Angle, anyways if anyone could help me out that be great, I would do the question myself if I'd know how to do it, have a nice day
Answer:
210 students
Step-by-step explanation:
The total number of students surveyed was
19+14+30+23+14 = 100
The fraction that picked Yosemite is 14/100
Multiply that fraction by the total number of students
1500* 14/100 = 210
Answer:
210 students
Step-by-step explanation:
vote me brainliest plz
A group of students volunteered to finish a task in 25 days .1 Q of students did not come n the work could b completed in 35 days .find original number of students in group were??
Answer:
p=7Q/2
Step-by-step explanation:
Original number of students:
p students to do 1 job in 25 days.
Let r= the rate for 1 student.
pr*25=1
pr*25=1 is the work rate equation for p students.
Lesser number of students:
p-Q students came to do the job and time required was 35 days.
(P-Q)*r*35=1.
The unknowns are p, Q and r
Equate the original number of students and the lesser number of students
pr*25=(P-Q)*r*35
25rp=35rp - 35Qr
Collect like terms
25rp-35rp = -35Qr
Divide both sides by -5
-5rp+7rp=- 7rp
It can be re written as
7rp-5rp=-7Qr
2rp=7Qr
Make p the subject of the formula
p=7Qr/2r
p=7Q/2
p=7Q/2 is the original number of students
-10rp = -35Qr
The system of these two equations can be solved for p. See the THREE unknown
variables, p, r, and Q. You might assume that either r or Q would be a constant.
WILL MARK BRAINLIESTT Ms. Barnes draws a pair of supplementary angles and tells the class that the angle measures are (4x + 30 )° and (2x + 6)° and asked them to write an equation to determine the value of x. Terrance wrote the equation 4x +30 = 2x + 6. Do you agree with Terrance? If so, what is the value of x? If not, what is the correct equation to find the value of x?
Answer:
Terrance is incorrect
Step-by-step explanation:
Supplementary angles add to 180 degrees
4x+30 + 2x+6 = 180
Combine like terms
6x+36 = 180
Subtract 36 from each side
6x+36-36 = 180 -36
6x =144
Divide by 6
6x/6 = 144/6
x =24
Please answer this in two minutes
Answer:
Not a triangle
Step-by-step explanation:
Side lengths do not adhere to the triangle inequality theorem. Which states that the sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side.
Need help ASAP thank you sorry if you can’t see the picture but you can zoom in :) !!!
Answer:
264 ft³
Step-by-step explanation:
The following data were obtained from the question:
Pi (π) = 3.14
Height (h) = 21 ft
Radius (r) = 2 ft
Volume (V) =..?
The volume of the cylinder can be obtained as follow:
V = πr²h
V = 3.14 × 2² × 21
V = 3.14 × 4 × 21
V = 264 ft³
Therefore, the of the cylinder is 264 ft³
A game is played with a played pentagonal spinner with sides marked 1 to 5. The scorer is on the side which comes to rest on the table. In two spins what is the probability of getting two 5s, at least one 5, a total score of 5, a total score greater than 5.
Answer:
There are four possible outcomes for each spin: red, blue, yellow, green.
label missing angles 1, 2, 3, 4, and 5 if lines ‘m’ and ‘n’ are parallel
Answer:
see attached diagram
Step-by-step explanation:
1. 1 and 70 are angles on a line (supplementary)
2. vertical angles with 70
3. angles on a line are supplementary
4. 2 and 4 are supplementary interior angles between parallel lines m & n
5. corresponding angle with 70
Someone please explain
Area of a triangle is 1/2 x base x height.
The graphed triangle has height of 2 and base of 2.
Area = /2 x 2 x 2 = 2 square units.
The triangle gets enlarged by a scale factor of 2, so the new height would be 2 x 2 = 4 and the new base would be 2 x 2 = 4
Area of enlarged triangle = 1/2 x 4 x 4 = 8 square units.
The answer is C) 8
5. Friday morning the Matthews family goes to town to buy groceries. The following three
options are available for cereal:
CEREAL
CEREAL
CEREAL
Option 1:
300 g for $3.89
Option 2:
450 g for $4.77
Option 3:
600 g for $6.59
Which option is the best buy? Justify your answer. (17)
Answer:
Step-by-step explanation:
Hello!
To compare different prices of several brands of a product the best is to express the price for the same quantities of product.
Since the three options are original in 300g, 450g and 600g, I'll express all prices on a base of 100g of product. You can use simple rule of three for this:
Option 1
300g cost $3.89
100g cost [tex]\frac{100*3.89}{300} = $1.296[/tex]
Option 2
450g cost $ 4.77
100g cost [tex]\frac{100*4.77}{450}= $1.06[/tex]
Option 3
600g cost $ 6.59
100g cost [tex]\frac{100*6.59}{600}= 1.098[/tex]
So:
Option 1: $1.296/ 100g
Option 2: $1.06/100g
Option 3: $1.098/100g
The cheapest option is number 2
I hope this helps!
What is the solution to this equation? 8 - 5(x - 3) = 18
Answer:
x = 1
Step-by-step explanation:
Given
8 - 5(x - 3) = 18 ( subtract 8 from both sides )
- 5(x - 3) = 10 ( divide both sides by - 5 )
x - 3 = - 2 ( add 3 to both sides )
x = 1
Solve.
y=x - 7
5+2y=7
Answer:
[tex]\huge\boxed{x=8;\ y=1\to(8;\ 1)}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y=x-7&(1)\\5+2y=7&(2)\end{array}\right\\\\\text{Substitute (1) to (2) and solve for x:}\\\\5+2(x-7)=7\qquad\text{use the distributive property}\\\\5+(2)(x)+(2)(-7)=7\\\\5+2x-14=7\\\\2x+(5-14)=7\\\\2x-9=7\qquad\text{add 9 to both sides}\\\\2x-9+9=7+9\\\\2x=16\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{16}{2}\\\\\boxed{x=8}[/tex]
[tex]\text{Substitute it to (1):}\\\\y=8-7\\\\\boxed{y=1}[/tex]
Answer:
(8, 1).
Step-by-step explanation:
y = x - 7
5 + 2y = 7
5 + 2(y) = 7
5 + 2(x - 7) = 7
5 + 2x - 14 = 7
Subtract 5 from both sides
2x - 14 = 2
Add 14 to both sides
2x = 16
Divide both sides by 2
x = 8
Since x = 8...
y = x - 7
y = 8 - 7
y = 1.
To check our work...
5 + 2y = 7
5 + 2 * 1 = 7
5 + 2 = 7
7 = 7
Since it works out, your answer is (8, 1).
Hope this helps!
Use the formula for the area of a circle to find the area of the bull’s eye and the next ring together A. 22,686.5 mm2
O B. 31,400 mm2
O C. 452.39 mm
O D. 314 mm2
Answer:
B. 31,400 mm2Step-by-step explanation:
We know that the bull's eye target has a diameter of 20 centimeters, which equals 200 milimeters.
So, we find the area
[tex]A_{target}= \pi (100mm) ^{2} =(3.14)(10000) mm^{2} =31,400 mm^{2}[/tex]
Therefore, the right answer is B.
Answer:
D. 31,400mm^2
Step-by-step explanation:
discriminant of xsqaure - 1/2x +1/2=0
Answer:
[tex]\boxed{D = 15/8}[/tex]
Step-by-step explanation:
=> [tex]x^2-\frac{1}{2} x +\frac{1}{2} = 0[/tex]
Comparing it with the standard form of quadratic equation [tex]ax^2+bx+c = 0,[/tex] we get
a = 1, b = -1/2 and c = 1/2
Discriminant = [tex]b^2-4ac[/tex]
[tex]D = (-1/2)^3+4(1)(1/2)\\D = -1/8 + 2\\D = \frac{-1+16}{8} \\D = \frac{15}{8}[/tex]
what is the value of x if e^3+6=8
Answer:
A
Step-by-step explanation:
What effect will replacing x with (x+7) have on the graph of the equation y=x^2?
A. slides the graph 7 units down
B. slides the graph 7 units right
C. shrinks the graph by a factor of 7
D. Slides the graph 7 units left
Answer:
D
Step-by-step explanation:
Solution:-
- The given question pertains to the translation of a function f ( x ) over the cartesian coordinate system.
- There are certain guidelines that must be followed when performing any translations of any function f ( x ).
Translation Guideline
Vertical shifts
Up: f ( x ) - > f ( x ) + bDown: f ( x ) - > f ( x ) - bHorizontal shifts
Left: f ( x ) - > f ( x + a ) Right: f ( x ) - > f ( x - a )Where, " a " and " b " are constants for respective horizontal and vertical shifts.
- We can make a generalized form of the translated function f ( x ) to f* ( x ) as follows:
Generalized shift: f ( x ) - > f ( x ± a ) ± b
Where, a: Unit of horizontal shift
b: Unit of vertical shift
- We are given a function f ( x ) defined. We are to replace the variable ( x ) with ( x + 7 ).
[tex]f ( x ) = x^2\\\\f^*(x) = f ( x + 7 ) = (x + 7 )^2[/tex]
- Use the above given guidelines to determine the type of shift. Take a look at the Left shift in the horizontal shift section.
- Left shift : f ( x ) -> f ( x + a ) = f ( x + 7 )
Answer: The function f ( x ) is slided a = 7 units to the left!
x−12=−4y 2x+8y=−14 Which of the following represents a solution (x,y) to the system of equations above?
NEED ASAP PLZ
Equation M: y = 3x + 4
Equation P: y = 3x + 7
Which of the following options is true about the solution to the given set of equations?
ONo solution
O One solution
OTwo solutions
O Infinite solutions
Answer:
No solutions.
Step-by-step explanation:
we have y=3x
to get y=3x+4
we just move every point of y=3x ,4 units up
and to get y=3x+7
we just move every point of y=3x, 7 units up
and it's pretty clear they are parallels, because it's the same line, just moved.
Answer:
No solutions.
Step-by-step explanation:
how to do this question plz
Answer:
x = 10
Step-by-step explanation:
Use the Pythagorean theorem. The sum of the square of the sides is the square of the hypotenuse.
x² +(√200)² = (√300)²
x² = 300 -200
x = √100 = 10
The length of the unknown side is 10 units.
Choose the best estimate for the division problem below.
68.362/7.12
A8
B. 10
C. 13
Answer:
10
Step-by-step explanation:
68.362/7.12
Multiply the top and bottom by 1000
68362/7120
Rounding to the nearest 1000
70000/7000
10
Suppose a cube is given. How many different segments can be formed by connecting the vertices of the cube?
Answer:
28 is thee answer
Step-by-step explanation:
Help pleaseee! Thank you
Answer:
Step-by-step explanation:
width of a rectangle=11 cm=11*5=55 ft
length of rectangle =8 cm= 8*5=40
Area=55*40=2220 ft²
height=3 cm=3*5=15
base=11 cm=11*5=55
Area of a triangle=base*height/2=15*55/2= ft^2
2220+412.5=2632.5 ft^2
this number is close to 2615 if the square unit on the grid =1 cm
Which equation can you use to solve for theta in the figure shown? A right triangle is shown. 2 sides have lengths of 45 feet and 31.2 feet and the hypotenuse has a length of 54.8 feet. The angle opposite to the side with length 45 feet is theta.
Answer:
45/58.4
Step-by-step explanation:
Answer: part 1: 45/54.8.
Part 2: 55.2
Step-by-step explanation:
Edge
PLZZ HELPP WILL GIVE 100 POINTS Which ordered pairs are solutions to the inequality −2x+y≥−4? Select each correct answer. (0, −5) (1, −2) (3, −1) (0, 1) (−1, 1)
Answer:
(1, −2) (0, 1) (−1, 1)
Step-by-step explanation:
−2x+y≥−4
Substitute the points into the inequality and see if it is true
(0, −5)
-2(0) + -5 ≥−4
0-5 ≥−4
-5≥−4
False not a solution
(1, −2)
-2(1) -2 ≥−4
-2-2 ≥−4
-4≥−4
True it is a solution
(3, −1)
-2(3) -1 ≥−4
-6 -1 ≥−4
-7 ≥−4
False, not a solution
(0, 1)
-2(0) +1 ≥−4
0+1 ≥−4
1 ≥−4
True it is a solution
(−1, 1)
-2(-1) +1≥−4
2+1≥−4
3≥−4
True it is a solution
Answer:
(1.-2)
(0.1)
(-1,.-1)
Step-by-step explanation:
To solve this we have to plug in each point to see which one would work.
Inequality: -2x + y >= -4
First let's plugin (0,-5):
-2x + y >= -4
-2(0) + (-5) >= -4
0 - 5 >= -4
-5 >= -4 is wrong.
Now let's plugin (1,-2)
-2x + y >= -4
-2(1) + (-2) >= -4
-2 - 2 >= -4
-4 >= -4 is correct
Now let's plugin (3,-1):
-2x + y >= -4
-2(3) + (-1) >= -4
-6 - 1 >= -4
-7 >= -4 is wrong
Now let's plugin (0,1):
-2x + y >= -4
-2(0) + (1) >= -4
0 + 1 >= -4
1 >= -4 is correct
Now let's plugin (-1,1):
-2x + y >= -4
-2(-1) + (1) >= -4
2 + 1 >= -4
3 >= -4 is correct
Would appreciate if you gave me brainliest :)
I will give brainliest!! THERE IS NO OTHER INFORMATION GIVEN!! In ⊙O, chord XY is 8 cm long and is 10 cm from O. What is the radius ⊙O?
Answer:
radius ≈ 10.77 cm
Step-by-step explanation:
The segment from the centre O to the chord is a perpendicular bisector.
Thus 2 right triangles are formed with legs 10 cm and 4 cm ( half of XY )
The radius r is the hypotenuse.
Using Pythagoras' identity, then
r² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )
r = [tex]\sqrt{116}[/tex] ≈ 10.77 cm ( to 2 dec. places )
Answer:
Step-by-step explanation:
perpendicular from center always bisects the chord of circle.
1/2 of chord=1/2×8=4 cm
[tex]r=\sqrt{4^2+10^2} =\sqrt{16+100} =\sqrt{116} \approx 10.77 ~cm[/tex]