Given:
Length, l = 14 cmBreadth, b = 6 cmArea of rectangular prism ( cuboid ) = 448 cm²To find out:
Find the height, h ?
Formula used :
Area of rectangular prism ( cuboid ) = 2 ( lb + bh + hl )
Solution:
We know that that,
Area of rectangular prism ( cuboid ) = 2 ( lb + bh + hl )
=> 448 = 2 ( 14 × 6 + 6 × h + h × 14 )
=> 448 = 2 ( 84 + 6h + 14h )
=> 448 = 2 ( 84 + 20h )
=> 448 = 168 + 40h
=> 40h = 448 - 168
=> 40h = 280
=> h = 280/40
=> h = 7 cm
2 Points
In the diagram below, DE is parallel to 7. What is the value of x?
2
119
F
X
y
O A. 115
B. 85
C. 65
D. 105
O
Answer:
C
Step-by-step explanation:
The angle adjacent to x on XY = 115° ( corresponding angle )
This angle and x are adjacent and supplementary , thus
x = 180 - 115 = 65 → C
Answer:
65⁰
Step-by-step explanation:
x + 115⁰ = 180⁰ (co exterior)
x = 180 - 115 = 65⁰
which three measures could be side lengths of a right triangle?
5,7,2,\sqrt(27)
explain work please
First, let's square all the given measures, so we have 25, 27, 4, and 49. For three measures to form the sides of a right triangle, two of these squares have to add up to the third.
By inspection, we see that the measures of [tex]\boxed{5,\sqrt{27},7}[/tex] form a right triangle, since [tex]25+27=49.[/tex]
The segments shown below could form a triangle?
Answer:
Option B; False
Step-by-step explanation:
Consider a Triangle Inequality to prove that these segments could form a triangle;
[tex]| a - b | < c < a + b,\\| c - a | < b < a + c,\\| c - b | < a < b + c, Considering - a - segment AC ( 8 units ) - b - BC ( 7 units ), - c - BC ( 15 units )\\\\| 8 - 7 | < 15 < 8 + 7,\\1 < 15 < 15, Now 15 is not < 15, it is =, thus ;\\Solution ; False[/tex]
These segments could not form a triangle
* ANSWER PLS * What are two types of angle measurements? a.) metrics and radians b.) radians and metrics c.) degrees and metrics d.) degrees and radians
Answer:
D.
Step-by-step explanation:
The two types of angle measurements are:
1) Degrees ( ° )
2) Radians ( r)
1. Focus is at (0,7) and the Directrix is y = 1.
a) Sketch the parabola.
b) What are the coordinates of the vertex?
Answer:
a) see the attached file
b) Coordinates of vertex = (0, 4)
Step-by-step explanation:
Given:
Focus of parabola is [tex](0,7)[/tex] and the directrix is [tex]y=1[/tex]
To sketch: the parabola
To find: coordinates of the vertex
Solution:
As the focus lies on the y-axis and y-coordinate of the focus is positive,
equation of parabola is [tex](x-h)^2=4p(y-k)[/tex]
Here, [tex](h,k)[/tex] denotes the vertex of parabola, focus is [tex](h,k+p)[/tex] and the directrix is [tex]y=k-p[/tex]
According to question,
[tex](h,k+p)=(0,7)[/tex]
[tex]k-p=1[/tex]
So, [tex]h=0[/tex]
[tex]k+p=7\,,\,k-p=1[/tex]
On adding these equations,
[tex]k+p+k-p=7+1\\2k=8\\k=4[/tex]
Put [tex]k=4[/tex] in [tex]k+p=7[/tex]
[tex]4+p=7\\p=7-4\\p=3[/tex]
So, equation of parabola is [tex](x-0)^2=4(3)(y-4)\Rightarrow x^2=12(y-4)[/tex]
For part a), see the attached file.
b)
Coordinates of vertex = [tex](h,k)=(0,4)[/tex]
BRAINLIEST ANSWER Twice the difference of a number and 4 is equal to three times the sum of the number and 4. Find the number.
Answer: -20
Step-by-step explanation:
We can set up an equations with the conditions we are given. Let's use x for the missing number.
2(x-4)=3(x+4)
2x-8=3x+12
-20=x
Answer:
see below
Step-by-step explanation:
2(x-4) =3(x+4)
sum is addition
difference is subtraction
2 is multiply by2
solve 2(x-4) =3(x+4) distribute on both sides
2x - 8 = 3x + 12 add 8 on both sides
2x = 3x + 20 subtract 3x on both sides
-x = 20 multiply by -1
x = -20
Write an inequality to model the situation.
The temperature must be kept below 32 degrees.
Answer:
x<32
Step-by-step explanation:
Answer:
t > 32
Step-by-step explanation:
Which of the following represents the reflexive property of length? Question 6 options: A) m∠A = m∠A B) If AB = CD, then CD = AB C) x° = x° D) AB = AB
Answer:
D) AB = AB
Step-by-step explanation:
The reflexive property states that a value is equal to itself: x = x.
The reflexive property of length states that a length is equal to itself:
AB = AB
A) and C) are wrong. They represent the reflexive property of angles.
B) is wrong. It represents the symmetric property of length.
Answer:
D
Step-by-step explanation:
Plz help! Big points!
A certain brand soda can has a diameter of 2 inches and a height of 5 inches. The garbage can in the lunchroom has a diameter of 24 inches and a height of 42 inches. If you poured a bunch of soda into the garbage, how many soda cans would it take to fill the garbage can to the top? Round your answer to the nearest whole can.
Answer:
1209
Step-by-step explanation:
v= pi* r^2* h r= d/2
soda:
d = 2 r = 1
h = 5
grabage:
d = 24 r = 12
h = 42
volume G: 19000.35
volume S: 15.71
volume G/ Volume S = # of soda cans
I need help with question 1, 2, 6, 7 and 8.
Answer:
Step-by-step explanation:
Q1) 15+15+15+15+15+15=90
Answer : 1 over 90 as a fraction
Q2) 2 over 2
Q6) 13 over 52
HURRY, THIS IS TIMED!!!
Six students are working to simplify the expression shown.
Drag each student's answer to a box to show whether it is fully simplified, equivalent to the given expression but not fully simplified, or not equivalent to the given expression.
4y - 8x² - 5 + 14x² + y - 1
1. 3y + 6x² + 6
2. 3y + 6x² - 5 - 1
3. 5y + 6x² - 6
4. 5y - 6x² - 5 - 1
5. 5y - 8x² - 6 + 14x²
6. 4y + 6x² - 6 + y
Answer:
Step-by-step explanation:
1. not equivalent
2. not equivalent
3. fully simplified
4.not fully simplified
5. not fully simplified
6. not fully simplified
If someone can solve and show where it should be on the number line please do so
Answer:
The number line should have a filled in dot at -3 and should extend to the left where it is negative.
Step-by-step explanation:
If -3 is greater than or equal to c, then c has to be equal to -3 or smaller. So, the number line should include -3 with a filled in dot and should extend to the left of -3 where the more negative numbers are.
Answer:---> or o---> i think
Step-by-step explanation:
(SAT Prep) In the figure, what is the ratio of the area of square KLMN to the area of △LOK?
Answer:
D. 2:1
Step-by-step explanation:
Imagine a line that is parallel to the top of the square that passes thru point O
that would make two more triangles. The two in the top would be equal and the two in the bottom would be equal.
Therefore, the area of square KLMN is two times the area of triangle LOK
Answer:
D. 2:1
Step-by-step explanation:
Area of square KLMN = LM*LKArea of triangle LOK= 1/2*LM*LKratio of areas:
LM*LK : 1/2 LM*LK= 2:1Answer: 2:1 option D
A model airplane has a scale of 2 in: 9 yards. If the wing span of the model airplane is 18 inches, how many yards is the actual wing span?
Answer:
81 yards
Step-by-step explanation:
Which function has the greatest value? Select all that apply
Megan has two boxes with the dimensions shown. She wants to use the box with the greater volume to ship a gift to her friend. Which box should Megan use? Explain.
Answer:
384 3/4
341 1/4
box A
Step-by-step explanation:
The volume of the box is given by the formula:
Volume = length * width * height
The volume of the box A is:
Volume_A = 9.5 * 3 * 13.5 = 384.75 cm3 = 384 3/4 cm3
The volume of the box B is:
Volume_B = 10 * 3.25 * 10.5 = 341.25 cm3 = 341 1/4 cm3
The volume of the box A is greater than the volume of the box B, so Megan should use the box A
d to master them
A chameleon is looking for prey. Let positive numbers represent the elevation of prey above the chameleon and
negative numbers represent the elevation of prey below the chameleon
The chameleon spots a fly and a grasshopper.
What does an elevation of 0 m represent in this situation?
Choose 1 answer
The elevation of the fly
The elevation of the chameleon
plz help ill mark u brainliest do em all
Answers:
1. 90in^2 2. 238cm^2
Step-by-step explanation:
For the first one:
6•3=18
6•3=18
3•3=9
3•3=9
6•3=18
6•3=18
Now we add them all up:
18+18+9+9+18+18=90in^2
For the second one:
7•5=35
7•5=35
7•7=49
7•7=49
7•5=35
7•5=35
Now we add them all up:
35+35+49+49+35+35=238cm^2
Irrational numbers (picture provided)
Answer:
C would be irrational.
Step-by-step explanation:
Irrational means that you cannot make a distinct ratio with the number. One of the more famous irrational numbers are π. You cannot make π into a fraction with whole numbers for a numerator and denominator.
Other examples of irrational numbers are square roots that are not perfect square roots. C is not a perfect square so it is irrational.
Identify the graph and describe the solution set of this system of inequalities.
y> fx+5
Answer:
What does the graph look like
Step-by-step explanation:
The inequality given is y> fx+5, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.
What is inequalities?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal symbol ()" to indicate that two values aren't equal. But several inequalities are utilised to compare the numbers, whether they're less than or higher than.
The different inequality representations, properties, and methods for resolving linear inequalities throughout one variable or two variables will all be covered in this article along with examples. The inequality given is y> fx+5, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.
Therefore, the inequalities have no solution since their graph does not intersect or overlap.
To know more about inequalities, here:
https://brainly.com/question/29166625
#SPJ7
A triangle has sides of lengths 4, 3, and 5. Is it a right triangle Explain.
Hey!!!
It is a right angle.
The answer is yes; 4^2+3^2=5^2 [option D]
please see the attached picture for full solution
Hope it helps
Translate the phrase into an algebraic three dollars more than twice the cost of a bowl of soups 2+3
3(2c)
3+2c
2+2c
Answer:
3+2c
Step-by-step explanation:
To translate the phrase into an algebraic expression, you have to analyze the information provided. Three dollars more than twice the cost of a bowl of soups means that given that c is the costs of a bowl of soup, you have to multiply c for 2 as the phrase says twice the cost. Also, it says three dollars more which means that you have to add 3. According to this, the expression is: 3+2c.
You have bumped into the car in front of you. You are injured in the collision, resulting in $2,500 in medical expenses. Your policy provides only liability insurance, with a limit of $25,000, and your deductible is $500. How much will your insurance company pay toward these medical expenses?
a) $0
b) $500
c) $2,000
d) $2,500
Answer: $2,000
Step-by-step explanation:
Your insurance companies limit is 25,000. You only need 2,500 but there is a deductible. You will get 2k
What is the slope of the line?
Thank you!!
Wich equation represents a linear function
Answer:yeah ❤️
Step-by-step explanation:
te tree♾
Answer:
y=x-3
or the 3rd option.
1) Find the length of point A(-3,1) and B(2,6). Leave your
answer in RADICAL FORM ONLY.
Answer: The length of point A(-3,1) and B(2,6) is [tex]5\sqrt{2}\text{ units}[/tex] .
Step-by-step explanation:
We know that the distance between the two points (a,b) and (c,d) is given by :-
[tex]d=\sqrt{(a-c)^2+(b-d)^2}[/tex]
Given points = A(-3,1) and B(2,6)
Therefore the distance between the points A(-3,1) and B(2,6) is given by :-
[tex]d=\sqrt{(-3-2)^2+(1-6)^2}\\\\\Rightarrow\ d=\sqrt{(-5)^2+(-5)^2}\\\\\Rightarrow\ d=\sqrt{25+25}\\\\\Rightarrow\ d=\sqrt{50}\\\\\Rightarrow\ d=\sqrt{25\times2}\\\\\Rightarrow\ d=\sqrt{5^2\times2}\\\\\Rightarrow\ d=5\sqrt{2}\text{ units}[/tex]
Hence, the length of point A(-3,1) and B(2,6) is [tex]5\sqrt{2}\text{ units}[/tex] .
Identify if each graph represents a function. Explain your reasoning.
Answer:
A and B
Step-by-step explanation:
Do the vertical line test! A and B pass the test, however the circle doesn't. That means the circle is not a function.
64x^2-81 what’s the answer ?
Answer:
(8x-9)(8x+9)
Step-by-step explanation:
64x^2 - 81
Rewriting
(8x)^2 - 9^2
We recognize that this is the difference of squares
a^2 - b^2 = (a-b)(a+b)
(8x-9)(8x+9)
Answer:
(8x+9)(8x-9)
Step-by-step explanation:
64x^2= 8x*8x
-81= 9*-9
What is the solution to this equation?
-13x=78
O A. x= 6
B. X= -5
O c. x= -6
O D. x= 5
Plzzz help mee
Answer:
x = -6
Step-by-step explanation:
-13x=78
Divide each side by -13
-13x/-13 = 78/-13
x =-6
Answer:
x = -6
Step-by-step explanation:
-13x = 78
x = 78/-13
x = -6
Which graph shows the solution to the system of linear inequalities below?
Answer:
B
Step-by-step explanation:
The red line is y = 2x + 3 and the blue line is y = -2x - 4. The solution will be shaded on the left side of the red line and below the blue line which is Graph B.
Answer:
B
Step-by-step explanation:
Check the inequalities
