Answer:
[tex]\frac{36}{g}[/tex]=9
A box tube is to be constructed out of 1 cm thick metal that has a width of 10cm, a height of 6cm, and a depth of 15 cm. Which of the following represents the volume of the metal used?
(1) 420 cm3 (3) 640 cm3
(2) 540 cm3 (4) 760 cm3
Answer:
(A)[tex]420$ cm^3[/tex]
Step-by-step explanation:
Width = 10cmHeight = 6cmDepth = 15 cmVolume of the solid box [tex]= 10*6*15=900$ cm^3[/tex]
Since the box tube is constructed out of 1 cm thick metal, we subtract 1cm on both sides of the width and height.
See the attached diagram for illustration.
Internal width of the box = 10-2=8cmInternal height of the box = 6-2=4cmHowever, the depth of the box remains unchanged, therefore:
Internal depth of the box =15cmInternal Volume of the box[tex]=8*4*15=480$ cm^3[/tex]
Volume of metal used = Volume of Solid Box - Internal Volume
=900-480
=[tex]420$ cm^3[/tex]
The correct option is A.
1/16 x 6 then round to 2 decimal places.
Answer:
0.38
Step-by-step explanation:
What is the volume of the rectangular prism? Round your answer to the nearest Hundredth place if necessary.
Answer:
V = l×w×h units³
Step-by-step explanation:
The volume of a rectangular prism is V = l×w×h
your friend's house is 7.5 miles north and 10 miles west of the zoo. How far is your friend's house from the zoo?
Answer:
2.5 miles
Step-by-step explanation:
What is the answer ?
Answer:
12 cm
Step-by-step explanation:
tan B = opposite side / adjacent side
Tan B = AC / BC
.75 = 9 / BC
Multiply each side by BC
BC (.75) = 9
Divide each side by .75
BC = 9/.75
BC =12
can someone please help me with this question it is a hard question for me to answer
Step-by-step explanation:
i think 120 degrees
to get vertical position
9x − 9y = 18
y = 8
Solve a system of equations using substitution.
Answer: x = 10
Step-by-step explanation:
Answer: x=10
Step-by-step explanation: 9(8)= 72, 72+18=90, 90/9= 10
A square inscribed in a circle and centered at the origin has points at (2, 2), (- 2, 2), (2, -2) and ( -2, -2). What is the equation of the circle that circumscribes the square?
X^2+y^2=8 is the answer but why?
Answer:
In short, they are all solutions to your equation.
Step-by-step explanation:
I have attached the work to your problem.
Please see the attachment below. I clarified as much as possible and included all explanations/work.
I hope this helps.
helpppppp.....
im practicing for my upcoming exams and my teacher has given us practice papers but im struggling ... need step by step explanation so i can learn from it ..thnks
Part (a)
Answer: 42
-------------
Work Shown:
The angle ABC is 90 degrees since AB and BC are perpendicular. The two segments form a right angle. Therefore, the three pieces of the angle must add to 90
24+x+24 = 90
x+48 = 90
x+48-48 = 90-48 ... subtracting 48 from both sides
x = 42
=======================================
Part (b), subpart (i)
Angle q is congruent to the 135 degree angle because they are vertical angles.
Vertical angles are opposite angles formed by the X shape when two lines cross, and vertical angles are always the same measure.
=======================================
Part (b), subpart (ii)
Answer: 225
-------------
Reasoning:
The four angles p,q,r and the 135 all add to 360, so,
p+q+r+135 = 360
subtract 135 from both sides so we isolate the "p+q+r" and that leads to
p+q+r+135 = 360
p+q+r+135-135 = 360-135
p+q+r = 225
PLEASE HELP ASAP!!!!!
Rewrite the expression 20x + 25 as the product of two factors.
Answer:
5 (4 x + 5)
That is the answer
5 is a factor if 20 and 25 and 4x + 5 cannot be furthor be simplified.
What is the range of the function?
Answer:
the range of this function is d
{3,9,12}
The volume of which shapes can be found using the formula V = Bh?
Select all that apply.
Group of answer choices
right triangular prism
rectangular pyramid
triangular pyramid
rectangular prism
cone
Answer:
Triangular pyramid and Rectangular prism
Step-by-step explanation:
There are several different uses of the formula V = BH. For example, we used the formula V = BH for a cylinder, a rectangular prism, and a triangular pyramid. But be careful! All of the elements in the formulas don't mean the same! I really hope this helps you a bit!
Volume of the Right triangular prism and rectangular prism can be found by using the formula V= B×h
What is Volume?Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface
What is Base area?It refers to the area of one of the bases of a solid figure.
Given,
Volume V= B×h
Where B is the Base area and h is the height
Volume of the Right triangular prism and rectangular prism can be found by using the given formula V = B×h. Because two identical shapes (base) facing each other with a height h
But we cannot find the volume of the Rectangular pyramid, triangular pyramid and mid by using the given equation because this formula is used to find the volume of a geometric prism or cylinder.
Hence, Volume of the Right triangular prism and rectangular prism can be found by using the formula V= B×h
Learn more about Volume and Base area here
https://brainly.com/question/14991387
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Here are the first four terms of an arithmetic sequence.
5
12
19
26
Write down an expression, in terms of n, for the nth term of the sequence.
Answer:
nth term = 7n - 2
Step-by-step explanation:
The first 4 term of the arithmetic sequence is 5, 12 , 19 and 26. The expression in terms of nth term that model this sequence can be express below
The nth term of the arithmetic sequence form can be represented as follows.
nth = a + (n - 1)d
where
a = first term
d = common difference
Therefore,
a = 5
d = 12 - 5 = 7 or 19 - 12 = 7 or 26 - 19 = 7
nth = a + (n - 1)d
nth term = 5 + (n - 1)7
nth term = 5 + 7n - 7
nth term = 7n - 2
Racer and J. Michael are both training for the 1600 meter run. Last
week Racer ran 28– kilometers. J.
Michael ran 19.
kilometers. How
8
many more kilometers did Racer run?
Answer:
a lot
Step-by-step explanation:
HELP ASAP
There are 20 students on a school bus, 4 sixth graders, 10 seventh graders, and 6 eighth graders. Two students are chosen at random.
What is the probability of choosing two eighth graders?
Answer:
Idk I’m sry
Step-by-step explanation:
Four students were asked to write an expression which has terms that have a greatest common factor of 8c. The expressions
provided by the students are shown below.
Tanya
32C+16cd
Wyatt
8c-48cd
Xavier
36c-240
Yang
8c+40
Which student wrote the correct expression?
Tanya
Wyatt
Xavier
Yang
Answer:
WyattStep-by-step explanation:
Greatest common factor is a largest possible number or function that divides all values of a function without a remainder. According to the students, only Wyatt wrote the correct expression that has 8c as its greatest common factor.
According to Wyatt expression;
8c-48cd
It can be seen that 8c is the greatest function that can go in both monomials (8c and 48cd). On factoring out 8c we have;
[tex]8c-48cd = 8c(1-6d)[/tex]
since no other values can go in the values in parenthesis (1-6d), this shows that 8c is the greatest common factor of the function hence only Wyatt wrote the correct expression compare to other students.
According to Xavier and Yang equation, c is cannot be factored from the equation thereby making both the wrong expression.
For Tanya function 32c+16cd, its greatest common factor is 16c not 8d making the equation wrong as well.
Answer:
Wyatt
Step-by-step explanation:
it's on edge
A circle has a radius of 3. An arc in this circle has a central angle of 60. What is the length of the arc ?
Susan started her homework at 1{:}59\text { p.M.}1:59 p.M.1, colon, 59, start text, space, p, point, m, point, end text and finished her homework 969696 minutes later. Susan had volleyball practice at 4{:}00\text{ p.M.}4:00 p.M.
Answer:
Step-by-step explanation:
Susan started her homework at = 1:59 pm
She took time = 96 mins
Time at which she had volleyball practice = 4:00 pm
So, time between her starting of homework and starting of volleyball is given by
1:59 pm to 4:00 pm = 2 hrs and 1 mins
2 hr 1 min = 120 mins + 1 min = 121 mins
But she took 96 mins to do her homework, so
Out of 121 mins, 96 mins she took for homework
Remaining time = 121 mins - 96 mins = 25 mins
Therefore, time Susan had between finishing her homework and the beginning of volleyball practice is 25 mins
PLEASE HELP
Select the correct measurement of the angle shown on the protractor.
A. 160°
B. 150°
C. 20°
D. 10°
Answer:
I think it is a 160o Angle
Step-by-step explanation:
PLS HELP 9,10,11!!! ASAP
Answer:
idk hff 8gciy ctcs 6rxtc igv6rx8
the center of a circe is located at (1,3). The point (0,1) lies on the circle. Find the equation of the circle
Answer:
[tex](x-1)^{2}+(y-3)^{2} = 5[/tex]
Step-by-step explanation:
Given the general equation of a circle represented as:
[tex](x-a)^{2}+(y-b)^{2} = r^{2}[/tex] where:
(a, b) is the centre of the circle and r is the radius
Given the centre located a (1,3), to get the radius we will take the distance between the centre point of the circle the the point that lies on its circumference i.e (0,1).
Using the formula for calculating thee distance between 2 points, we have:
[tex]r = \sqrt{ (x2-x1)^{2}+(y2-y1)^{2}}[/tex]
x1 = 1, y1 = 3, x2 = 0, y2 = 1
[tex]r = \sqrt{ (0-1)^{2}+(1-3)^{2}}\\r=\sqrt{1^{2} +(-2)^{2}}\\r=\sqrt{1+4}\\r=\sqrt{5}[/tex]
Substituting this values of the centre and radius of the circle into the general equation of a circle we have:
[tex](x-1)^{2}+(y-3)^{2} = (\sqrt{5}) ^{2}\\(x-1)^{2}+(y-3)^{2} = 5[/tex]
This gives the required equation of the circle.
A race has 6 competitors. The winner gets a gold ribbon, the second-place finisher gets a blue ribbon, and the third-place finisher gets a red ribbon. In how many ways can the ribbons be awarded?
Answer:
120 ways
Step-by-step explanation:
Here, we want to calculate the number of ways in which the ribbons can be awarded.
There are 6 competitors and there should only be one first position. What this means is that there are 6 possible ways to become first and 6 possible ways to clinch the gold ribbon.
Now, looking at the second position, since one person already claimed the first, there would be only 5 of the competitors jostling for the second position. This means that the number of ways they can claim the blue ribbon is 5 ways
For the fourth position, there are only 4 competitors wanting to claim the red ribbon. This is because we already have winners for the first and second position.
The number of ways this can be done is thus 4 ways
Now the total number of ways the ribbons can be awarded would be 6 * 5 * 4 = 120 ways
hi can someone help me with this I will thank u so much and give u stars and a thank u
Find the products mentally.
6.(0.8).2
(4.5) . (0.6) .4
Answer:
i think it is .64
Step-by-step explanation:
what is 5 plus 6 plus 7 plus 8?
Answer:
26
Step-by-step explanation:
5 + 6 + 7 + 8 = 11 + 15 = 26
Hope it helps you in your learning process.
Answer:
26
Step-by-step explanation:
[tex]5+6+7+8\\\text {Add: }\\5+6+7+8\\11+7+8\\18+8\\\boxed {26}[/tex]
5+6+7+8 = 26
How do I find out if this is an infinite solution
4(x-2) + 7 = 4x - 1
Answer:
x = all real numbers, infinite solutions
Step-by-step explanation:
4(x-2) + 7 = 4x - 1
Distribute
4x -8+7 = 4x-1
Combine like terms
4x -1 = 4x-1
Subtract 4x from each side
4x-1 -4x = 4x-1-4x
-1 = -1
This is always true so there are infinite solutions for x
help me for branitest pls
Answer:
The top two are 3 and 4
The bottom two are 6
Step-by-step explanation:
hope it works out
Point M is the midpoint of AB¯¯¯¯¯¯¯¯. Find the length of AB¯¯¯¯¯¯¯¯.
Answer:
AB = 142
Step-by-step explanation:
If M is the midpoint, then AM = MB
6x+5 = 7x -6
Subtract 6x from each side
6x-6x+5 = 7x-6x -6
5 = x-6
Add 6 to each side
5+6 = x-6+6
11=x
We want to find AB
AB = 6x+5+7x-6
AB = 13x -1
= 13(11) -1
=143-1
= 142
A farmer planted corn in a square field. One side of the field measures 32 yards.What is the area of the cornfield
Answer:
128 my answer needs to be long so im just gonna span a little
What is the scale factor, perimeter ratio, surface ratio, and the volume ratio?????????????????????????????
Answer:
Scale factor = [tex]\frac{4}{9}[/tex]
Perimeter ratio = 4 : 9
Surface area ratio = 16 : 81
Volume ratio = 64 : 729
Step-by-step explanation:
Volume ratio = [tex]\frac{\text{volume of small prism}}{\text{Volume of large prism}}[/tex]
= [tex]\frac{128}{1458}[/tex]
= [tex]\frac{64}{729}[/tex]
= 64 : 729
Scale factor = [tex]\sqrt[3]{\frac{\text{volume of small prism}}{\text{Volume of large prism}}}[/tex]
= [tex]\sqrt[3]{\frac{64}{729}}[/tex]
= [tex]\frac{4}{9}[/tex]
Perimeter ratio = Scale factor
= [tex]\frac{4}{9}[/tex]
= 4 : 9
Surface area ratio = (Scale factor)²
= [tex](\frac{4}{9})^{2}[/tex]
= [tex]\frac{16}{81}[/tex]
= 16 : 81
Answer:Scale factor = 4/9
Perimeter ratio = 4 : 9
Surface area ratio = 16 : 81
Volume ratio = 64 : 729
Step-by-step explanation:
Daniel has three shirts, two ties, and two pairs of pants. How many different outfits can Daniel make?
Answer:
Daniel can make 12 outfits
Step-by-step explanation:
3*2*2=12