Answer: [tex]6\dfrac{3}{8}\text{ inches}[/tex]
Step-by-step explanation:
Given: Original length = [tex]15\dfrac{1}{8}[/tex] inches
[tex]=\dfrac{8\times15+1}{8}=\dfrac{121}{8}[/tex] inches ( In improper fraction )
Length of piece cut from original = [tex]8\dfrac{3}{4}[/tex] inches
[tex]=\dfrac{4\times8+3}{4}[/tex][tex]= \dfrac{35}{4}[/tex] inches ( In improper fraction )
Length of piece leftover piece = (Original length ) - (Length of piece cut )
[tex]=\dfrac{121}{8}-\dfrac{35}{4}\\\\=\dfrac{121-2\times35}{8}\\\\=\dfrac{121-70}{8}\\\\=\dfrac{51}{8}\\\\=6\dfrac{3}{8}\text{ inches}[/tex]
Hence, the leftover piece will be [tex]6\dfrac{3}{8}\text{ inches}[/tex] long.
The points plotted below satisfy a polynomial. In what ranges of x-values must there be a root of the graph? Check all that apply. I will mark brainliest!
Answer:
not sure,but I think the answer is 3 to 4
Two prisms are similar with a scale factor of 1:4. Find the volume of the smaller prism given that the volume of the larger is 2400ft3.
The Volume of the smaller prism is 37.5 ft³.
What is a Prism?Prism is a three-dimensional structure that has identical polygon bases, and other faces are identical parallelograms.
The volume of the prism is determined by the formula
V = Bh
B is the base area and h is the height of the Prism.
The scale factor is given as 1/4, as the volume of the larger prism is given.
The volume of the larger prism is 2400 ft³
the side lengths will be multiplied by 1/4
Let the base area is for the larger prism the area for the smaller prism will be equal to
A = (1/16) a
The height of the larger prism is h.
Height of the smaller prism will be (1/4)h
The volume of the smaller prism = (1/16)*(1/4) Volume of the Larger Prism
The volume of the smaller prism = 2400 / (16*4)
The volume of the smaller prism = 37.5 ft³.
To know more about the Volume of Prism
https://brainly.com/question/1578538
#SPJ2
A box with a volume of 16 $\text{cm}^3$ can hold 50 paperclips. How many paperclips could a box with a volume of 48 $\text{cm}^3$ hold?
Answer:
150 paperclips
Step-by-step explanation:
set up the equation as a fraction equaling a fraction i.e. volume 16/ 50 paperclips = volume 48/ x paperclips
cross multiply so you get 16x = 2400
solve for x by dividing 2400 by 16
you should get x = 150
Please help answer! It’s due today!
Answer:
need thiss
Step-by-step explanation:
In which quadrants do solutions for the inequality y is less than or equal to two sevenths times x plus 1 exist?
Answer:
y will be in every single quadrant
Step-by-step explanation:
So we have the equation [tex]y\leq \frac{2}{7} x+1[/tex] first we will have to look at the equation. It says that y is less than or equal to [tex]\frac{2}{7} x+1[/tex] since y is less than [tex]\frac{2}{7} x+1[/tex] the only place the shaded area where y can be is under the line that is drawn be the equation. When the equation is graphed the y-intercept will be on positive 1 it since slope is rise over run it will look something like the file attached to this. so under the line you can see every single quadrant so that is why it would be that way
The question and pic is on the picture I took a picture of
Answer:
m<y = 155
Step-by-step explanation:
If m<x = 155, then m<y = 155 (Because vertically opposite angles are congruent)
Answer:
155°
Step-by-step explanation:
The two angles are a pair of vertically opposite angles.
Verticall opposite angles are opposite to each other and are equal.
Angle x = Angle y
155 = 155
Dan must choose a shirt, a pair of pants, and a cap for today's outfit. He has 2 shirts, 2 pairs of pants, and 3 caps to choose from. How many different outfits can he make?
Answer:
12 different outfits
Step-by-step explanation:
2 x 2 x 3 = 12 outfits.
Answer:
12
Step-by-step explanation:
He has 2 possibilities for a shirt, 2 possibilities for a pant, and 3 possibilities for a cap. You just multiply them together:
2 * 2 * 3 = 12 outfits
On two investments totaling $13,500, Peter lost 3% on one and earned 5 % on the other. If his net annual receipts were $319, how much was each investment?
If similar cubes have a length ratio of 3:2, what is the volume ratio? PLEASE EXPLAIN a) 9 : 4 b) 9 : 6 c) 27 : 8 d) 3 : 2
Answer: c) 27:8
Step-by-step explanation:
As volume of cube is side^3
volume of cube with side 2a is 8.a^3
volume of cube with side 3a is 27.a^3
ration of volumes is 27:8
4 Assuming the triangle was made of a material of uniform thickness which of the centres would also be the
centre of gravity of the triangle? Support your choice.
Step-by-step explanation:
you can split triangle in two 90-:80 triangles
PLEASE HELP ME ASAP!!!! I DON'T UNDERSTAND THIS!!!!
Answer: 62
Step-by-step explanation:
The surface area of a rectangular prism is 2(wl+hl+hw).
Simply plug in the values to get 62
Answer:
62cm ^2
Step-by-step explanation:
every cube has 6 sides,
2(3*5) + 2(2*3)+ 2(2*5)=
2(15)+2(6)+2(10)=
30+12+20=
62
PreCalculus Unit 3 Activity 90 POINTS
Answer:
19900kk
Step-by-step explanation:
i need deez points fr doe
Step-by-step explanation:
convert the angle from radian to degree you will get 225°
To draw it draw first 180° then ad 45° to make it easy
literally a free 50 points, just need the answer, What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?
Answer:
n = 1/2
Step-by-step explanation:
So the equation is 4/5n - 1/5 = 2/5n.
So, the first thing that we need to do is get the variable on one side.
So, to do that we need to subtract 4/5n on both sides.
Now our equation is -1/5 = -2/5n
Now the last step is to simplify.
To do that, we need to multiply by the reciprocal of 2/5 on both sides.
That leaves us with 1/2 = n
Answer:
n = 2
Step-by-step explanation:
=> [tex]\frac{4}{5n} - \frac{1}{5} = \frac{2}{5n}[/tex]
Combining like terms
=> [tex]\frac{4}{5n } - \frac{2}{5n} = \frac{1}{5}[/tex]
=> [tex]\frac{4-2}{5n} = \frac{1}{5}[/tex]
=> [tex]\frac{2}{5n}= \frac{1}{5}[/tex]
Cross Multiplying
=> 5n = 2*5
=> 5n = 10
Dividing both sides by 5
=> n = 2
If you have a gerbil, then you are a pet owner. Question 7 options: If you are not a gerbil, then you are not a pet owner. True If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets. If you do not have a gerbil, then you are not a pet owner. False; you could have a dog. If you are not a pet owner, then you do not have a gerbil. True
Step-by-step explanation:
If you are not a gerbil, then you are not a pet owner. False; if you are not a gerbil, you can be a human who owns pets.
If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets.
If you do not have a gerbil, then you are not a pet owner. False; you could have a dog or a cat.
If you are not a pet owner, then you do not have a gerbil. True, since if you do not own any pets, you will not have any animals, so you will not have a gerbil.
Hope this helps!
Answer:
If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets
Step-by-step explanation:
I need help with number 5
Answer:
A
Step-by-step explanation:
62 +65=127
C+127=180
C=180-127=53°
so x=53°
53-y=11
y=53-11=42
Answer: A
Step-by-step explanation:
Since ΔCDE and ΔGHI are congruent triangles, they are equal to each other. This means x-y=11. We want to find y, but we first need to find x. We can do that by finding x° on ΔGHI.
We know that the sum of the angles is 180° in a triangle. We are given 2 angles from ΔCDE. We can use those to find x°.
62+65+x=180 [combine like terms]
127+x=180 [subtract 127 on both sides]
x=53
Now that we have x, we can find y by plugging in.
53-y=11 [subtract both sides by 53]
-y=-42 [divide both sides by -1]
y=42
x^2 + 20x + 28 = 9 find the graphing/vertex form
Answer: [tex](x+10)^2+119=0[/tex]
Step-by-step explanation:
For a quadratic equation, the vertex form is given by : [tex]y=a(x-h)^2+k[/tex], where (h, k) is the vertex.
The given quadratic equation: [tex]x^2 + 20x + 28 = 9[/tex]
Subtract 9 from both sides
[tex]=x^2+20x+19=0[/tex]
compare this to [tex]x^2+bx=c[/tex], and add [tex](\frac{b}{2})^2[/tex] both sides
b= 20
[tex]x^2+20+100+19=-100[/tex] [(b/2)²=20/2=10]
[tex]\Rightarrow\ x^2+2(x)(10)+10^2+119=0[/tex]
[tex]\Rightarrow\ (x+10)^2+119=0\ \ \ [\because\ (a+b)^2=a^2+b^2+2ab][/tex]
So, the vertex form : [tex](x+10)^2+119=0[/tex]
Please solve yes please
Answer:
h(t) = h₀ + v₀·t + 1/2 g t² with
h₀=0.125, v₀=80 ft/s and g=32.174 ft/s²
4.9 seconds
Step-by-step explanation:
16.087 (t - 2.48648)^2 - 94.5842 = 0
solving as a quadratic equation yields t ≈ 4.9 seconds
FIND THE MISSING LENGTH INDICATED
Answer:
25 units.
Step-by-step explanation:
The first thing we need to do is find the hypotenuse of the triangle with side lengths 12 and 16. 12^2 + 16^2 = 144 + 256 = 400. sqrt(400) = 20. So, the hypotenuse of that triangle is 20 units.
Because the smaller length of the smaller triangle bisects the largest triangle's right angle, the two triangles are similar, with the side length 12 corresponding to the smaller side length of the larger triangle, the side length 16 corresponding to the 20 unit side, and the 20 unit hypotenuse corresponding to x.
Now that we know the triangles are similar, we can construct a proportion...
[tex]\frac{16}{20} =\frac{20}{x}[/tex]
That means that 4/5 = 20/x
1/5 = 5/x
x = 25
Hope this helps!
Marcus is saving up his money to buy a television that costs $395.50. Right now he has $85.00, and can save $29.00 each week. How many weeks will it take for Marcus to have enough money to buy the television?
Answer:
11 weeks
Step-by-step explanation:
He has 85 and can save 29 each week. This must be greater than the cost of the tv
85 + 29 w > 395.50
Subtract 85 from each side
85 -85 + 29 w > 395.50-85
29w >310.50
Divide by 29
29w/29 > 310.5/29
w >10.70689655
The number of weeks must be greater than 10.7 so rounding up
He must save for at least 11 weeks
To plot the point (5, -3) you would move up 5, then left 3.
True
False
Hey there! :)
Answer:
False.
Step-by-step explanation:
In a point, the coordinates are in the format:
(x, y).
In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:
Move right 5, down 3.
Answer:
False
Step-by-step explanation:
To plot the point (5, -3) you would move right 5, then down 3.
A recent survey found that 65% of high school students were currently enrolled in a math class,43% were currently enrolled in a science class,and 13% were enrolled in both a math and a science class. Suppose a high school student who is enrolled in a math class is selected at random. What is the probability that the student is also enrolled in a science class?
Answer: 0.20
Step-by-step explanation:
As per given :
P(student enrolled in a math class ) = 65% = 0.65
P( student enrolled in a science class) = 43%= 0.43
P( student enrolled in both ) = 13% = 0.13
Formula of conditional probability :
[tex]P(A|B)=\dfrac{P(A\text{ and }B)}{P(B)}[/tex]
Using the above formula,
The probability that the student is enrolled in a science class given that he is enrolled in maths class :
[tex]P(\text{science}|\text{math})=\dfrac{P(\text{science and maths})}{P(\text{math})}\\\\=\dfrac{0.13}{0.65}\\\\=\dfrac{13}{65}\\\\=\dfrac{1}{5}=0.20[/tex]
Hence, the probability that the student is also enrolled in a science class = 0.20 .
In how many ways can we put five identical fruits into three bowls? Note that the bowls may be empty.
Answer:
20
Step-by-step explanation:
Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options. The rule for the translation can be written as T–5, 3(x, y). The rule for the translation can be written as T3, –5(x, y). The rule for the translation can be written as (x, y) → (x + 3, y – 3). The rule for the translation can be written as (x, y) → (x – 3, y – 3). Triangle ABC has been translated 3 units to the right and 5 units down.
Answer:
The rule for the translation can be written as T3, –5(x, y)
Triangle ABC has been translated 3 units to the right and 5 units down.
Step-by-step explanation: I think this is correct
True statements are
The rule for the translation can be written as T3, –5(x, y).
Triangle ABC has been translated 3 units to the right and 5 units down.
Given :
The graph is attached below
Given options are
The rule for the translation can be written as T–5, 3(x, y).
The rule for the translation can be written as T3, –5(x, y).
The rule for the translation can be written as
(x, y) → (x + 3, y – 3).
The rule for the translation can be written as
(x, y) → (x – 3, y – 3).
Triangle ABC has been translated 3 units to the right and 5 units down.
Explanation :
In the triangle ABC, A is at (-1,3)
In A'B'C', A' is at (2,-2)
From these points we can see that
[tex]-1+3=2\\3-5=-2[/tex]
So , 3 is added with x value and -5 is added with y value
Hence, we can say that Graph ABC is shifted 3 units to the right and 5 units down.
Rule for the translation can be written as [tex]T_{3,-5}(x,y)[/tex]
Learn more :
brainly.com/question/3868587
Which represents a measure of volume?
5 cm³
5 square cm
5 cm
5 cm²
The answer is A) 5 cm³
Volume is represented by cubic units.
Hope it helps <3
simplify the expression [tex]-\frac{4x+7}{2} -\frac{3x-2}{2}[/tex]
Answer:
-(4x + 7)/2 - (3x - 2)/2 = (-4x - 7 - 3x + 2)/2 = (-7x - 5)/2
plzzzzz answer this question about density mass and volume!!!!!!!!!
Answer:
13.896 kg
Step-by-step explanation:
You can find the mass of the bar by first finding the volume.
V = BH
where B = area of the base (the trapezium), and
H = height (distance trapezium between bases)
The area of a trapezium is
A = (b1 + b2)h/2
where b1 and b2 are the lengths of the bases of the trapezium (the parallel sides), and
h = the altitude of the trapezium (distance between the bases of the trapezium)
V = (b1 + b2)h/2 * H
V = (12 cm + 6 cm)(5 cm)/2 * 16 cm
V = 720 cm^3
The volume of the bar is 720 cm^3.
Now we use the density and the volume to find the mass.
density = mass/volume
mass = density * volume
mass = 19.3 g/cm^3 * 720 cm^3
mass = 13,896 g
Now we convert grams into kilograms.
1 kg = 1000 g
mass = 13,896 g * (1 kg)/(1000 g)
mass = 13.896 kg
Answer: 1.3896 kg
the diagram shows a right angled triangle use pythagoras theorem to work out length of side ac
Answer:
Step-by-step explanation:
Using Pythagoras theorem,
AC^2 = AB^2 + BC^2
AC^2 = 4^2 + 15^2
AC^2 = 16 + 225
AC^2 = 241
AC = √241
PLEASE HURRY Find the measures of the numbered angle
Answer:
90°
Step-by-step explanation:
The sum of the arcs around the circle is ...
2x +4x +4x +2x = 360°
x = 360°/12 = 30°
The numbered angle is the average of the measures of the intercepted arcs, so is ...
(4x +2x)/2 = 3x = 3(30°) = 90°
The numbered angle is 90°.
pls help me with number 10
Answer:
D
Step-by-step explanation:
Δ KLM is equilateral ( 3 congruent angles ), thus 3 sides are congruent
KM = LM = 5
Δ MJK is isosceles ( base angles are congruent ), thus
MJ = KM = 5 , substitute value
x + 1 = 5 ( subtract 1 from both sides )
x = 4 → D
x=4
Step-by-step explanation:
all sides are 5 on the bottom triangle and the top triangle has 2 sides that are equal and one equals 5. there for it becomes x +1=5. 4
The diagram shows a 5 cm x 5 cm x 5 cm cube.
Calculate the length of the diagonal AB.
Give your answer correct to 1 decimal place.
Answer:
8.7 cm
Step-by-step explanation:
The question is a 2-two-step Pythagoras theorem. (c^2 = a^2 + b^2)
Consider as such, If I were to draw a diagonal line along the base of the cube what is the length of the diagonal line. To find out that we use the theorem. We can substitute a for 5 and b for 5 as well. So
a^2 +b^2 = c^2
5^2 + 5^2 = c^2
25 + 25 = c^2
√50 = c
Then since the line side of the cube is on a 3d angle we need to do the same process again but now using the imaginary diagonal line that we just calculated and the height (5).
a^2 +b^2 = c^2
√50^2 + 5^2 = c^2
50 + 25 = c^2
√75 = c
c = 8.6602...
when rounded to 1 d.p.
c = 8.7
Line AB is 8.7 cm long.