Answer:
The present with dimensions 70 mm by 90 mm by 150 mm will take more wrapping paper.
Step-by-step explanation:
70 mm = 7 cm, 90 mm = 9 cm,
150 mm = 15 cm. From this:
[tex]2(7)(9) + 2(7)(15) + 2(9)(15) = 126 + 210 + 270 = 606[/tex]
[tex]6( {10}^{2} ) = 6(100) = 600[/tex]
Jenna wears an orange shirt to school every 27 days (including today).
Hunter wears an orange shirt to school every 36 days (including today).
After today, what is the LEAST number of days it will take for both to wear
their orange shirts to school on the same day?
Answer:
2
Step-by-step explanation:
100-475.50<1200 slove
Answer:
-375.5<1200
True
Step-by-step explanation:
100-475.5 = -375.5
Brainliest please!!
The pressure exerted by a certain liquid at a given point varies directly as the depth of the point beneath the surface of the liquid. The pressure at 90 feet is 630 pounds per square inch. What is the pressure at 10 feet?
HELPPOO PLEASE EASY POINTS !!
A figure is reflected over the y = x line and then rotated 90° clockwise about the origin.
Write the coordinate rule for the transformation.
Under this series of transformations, the point (-4,-1) maps to
Would it make a difference if the order of transformations were reversed?
Justify
not an answer but I’m working on the same worksheet and if u wanna work on it together than u should add my discord: kuispe#1715
Pls answer i will mark u brainlist
a) x(x+12) + 27
b) m(2n-3k) - 2p(3k + 2n)
which inequality is graphed below
a. y<x2+4x+4
b. y2+4x+4
c. y>x2+4x+4
Answer:
c.
Step-by-step explanation:
The graph will be shaded above the boundary line when the inequality is of the form ...
y > ( )
The boundary line will be solid when the comparison includes the "or equal to" case:
y ≥ ( )
__
Here, the parabola will open upward if the leading coefficient is positive:
y ≥ x² + ( )
The shading above the solid line tells you the inequality is ...
y ≥ ( ) . . . . . matches choice C
_____
Additional comment
The parent function x² is shifted left 2 units, so the graph is of (x +2)². The expanded form of this matches choice C.
Finding an angle measure given extended triangles
Check the picture below.
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
x = 15°
Step-by-step explanation:
Linear pair = 180°
⇒ (6x - 5) + (6x + 5) = 180°
⇒ 12x = 180°
⇒ x = 15°
Since line m is parallel to line n, (6x - 5) and (6x + 5) are a linear pair.
Linear pair means that the sum of two angles equaling 180°.
This means that:[tex](6x - 5) + (6x + 5) = 180[/tex]
Step-by step calculations:
Opening the parenthesis:
[tex](6x - 5) + (6x + 5) = 180 \\\\6x - 5 + 6x + 5 = 180[/tex]
Combining like terms:
[tex]6x - 5 + 6x + 5 = 180 \\\\ (6x + 6x) + (-5 + 5) = 180[/tex]
Simplify the LHS:
[tex](6x + 6x) + (-5 + 5) = 180\\\\(12x) = 180[/tex]
Divide 12 both sides and simplify:
[tex]\frac{12x}{12} = \frac{180}{12} \\\\ x = 15[/tex]
Thus, the value of x is 15.
Sam has sheets of metal which are 36 cm by 36 cm square. He wants to cut out identical squares which are x cm by I cm from the corners of each sheet. He will then bend the sheets along the dashed lines to form an open container. a Show that the volume of the container is given by V(2) = x(36 – 2x)2 cm? . b What sized squares should be cut out to produce the container of greatest capacity? 36 cm 36 cm
Four squares with size of 6 centimeters should be cut to produce the container of greatest capacity.
How to model and analyse an open boxa) The volume of the box ([tex]V[/tex]), in cubic centimeters, is equal to the area of the base ([tex]A[/tex]), in square centimeters, multiplied by the height of the box ([tex]h[/tex]), in centimeters. The area of the surface is the product of the width ([tex]w[/tex]) and length (l), both in centimeters:
[tex]V = w\cdot l\cdot h[/tex]
[tex]V = (36-2\cdot x)^{2}\cdot x[/tex] (1)
The volume of the container is [tex]V = (36-2\cdot x)\cdot x[/tex] cubic centimeters. [tex]\blacksquare[/tex]
b) We need to apply first derivative analysis and second derivative analysis to determine the dimensions of the maximum squares to be cut:
FDT[tex]-4\cdot (36-2\cdot x)\cdot x+(36-2\cdot x)^{2} = 0[/tex]
[tex]-4\cdot x + 36-2\cdot x = 0[/tex]
[tex]6\cdot x = 36[/tex]
[tex]x = 6[/tex]
SDT[tex]V'' (x) = -4\cdot [(-2)\cdot x+(36-2\cdot x)]-4\cdot (36-2\cdot x)\cdot x + (36-2\cdot x)^{2}[/tex]
[tex]V''(x) = 8\cdot x-4\cdot (36-2\cdot x)-4\cdot (36\cdot x-2\cdot x^{2})+(36-2\cdot x)^{2}[/tex]
[tex]V'' (6) = -48[/tex]
Since [tex]V''(6) < 0[/tex], the critical value of [tex]x[/tex] leads to a maximum.
Four squares with size of 6 centimeters should be cut to produce the container of greatest capacity. [tex]\blacksquare[/tex]
To learn more on optimization, we kindly invite to check this verified question: https://brainly.com/question/5425085
The diameter of a cylinder is 3 yd. The height is 8 yd. What is the volume of a cylinder ( put the answer in yd)
Answer:
18[tex]\pi[/tex] yd.³ or 56.54867 yd.³
Step-by-step explanation:
The volume of a cylinder can be written as: height × base, where the base of the cylinder is [tex]\pi[/tex]r².
Since the radius (r) is half the diameter, it should be 1.5 or 3/2 yd.
r = 1.5
So, the area of the base of the cylinder is 1.5²([tex]\pi[/tex]), which is equal to 2.25[tex]\pi[/tex].
Now multiply that by the height, 8 yd.
2.25[tex]\pi[/tex] × 8 = 18[tex]\pi[/tex]
The area of the cylinder is 18[tex]\pi[/tex] or 56.54867
Answer:
56.55 yd.³ OR 56.52 yd.³
Step-by-step explanation:
The formula for the volume of a cylinder is; V=πr^2h
To find the volume let's put in the values they gave us.
Now: V=π times 1.5^2 times 8
(If you don't know what pi or π is its the area of a unit circle. So the area of a circle with diameter 2 or radius 1)
Continuing the volume would be 3.141592.. * 2.25 * 8 ( '*' indicates multiplication) Now the answer after you multiply would be approx. 56.54867 which rounded would be 56.55
NOW if your teacher prefers to use 22/7 or 3.14 as pi then here is your answer:V=πr^2h so 3.14*2.25*8 which would be 56.52 yd.³ (if this is the way you need it ignore ANY other answers)
Someone please help me on this I’m stuck
A store offers a loan for $900 to buy a computer. The terms of the loan
are for 9% simple interest and equal monthly payments for three years.
What is the monthly payment?
O $1143
O $700
o $31.75
o $92.50
Answer:
(c) $31.75
Step-by-step explanation:
First of all, you need to use some number sense to estimate an answer.
If the $900 loan had no interest, 1/3 of it would be paid off in each of the 3 years, or about $300 each year. You will be making 12 monthly payments each year, so the amount of principal being paid with each payment is $300/12 = $25. Any answer much above this amount will not make sense, so you can immediately reject all choices except $31.75.
__
The simple interest on the loan is ...
I = Prt = $900×0.09×3 = $243
That, too, is divided among the 36 payments, so adds ...
$243/36 = $6.75 to each of the $25 payments we calculated above.
The monthly payment is ...
$25 +6.75 = $31.75
how do you graph y=-4/3x+1
Answer:
Step-by-step explanation:
Answer:
Hope this helps any!
Step-by-step explanation:
What if the vertices of the county were (-5,8), (8,8), (8,-6), and (-5,-6)? What would the perimeter of the county be?
Answer:
54 units
Step-by-step explanation:
We can graph the vertices given to make this easier to solve.
-> See attached.
-> This will help us in finding the lengths of the sides.
-> We can also use mathematics.
8 + 5 = 13 and 8 + 6 = 14
Next we will find the perimeter.
-> This can be found with either of these formulas:
[] P = 2L + 2W
[] P = W + W + L + L
P = 2L + 2W
P = 2(14) + 2(13)
P = 54
The perimeter of the county is 54 units
Find slope and Y intercept of the line, and write the equation of the line, plzz helppp:(
Answer:
Slope = rise/run
= 1/4
Y-intercept = 0
Equation of the line:
y = 1/4x
which are rational numbers 3,5,1,9,4,8
Answer:
3 is rational, 5 is rational, 1 is rational, 9 is rational, 4 is rational, 8 is rational.
Step-by-step explanation:
1/2 times -1/4 PLEASEEEEEE
Answer:-0.125 or 1/8
Step-by-step explanation: :)
Answer:
-1/8
Step-by-step explanation:
1/2 times -1/4 = -1/8
the first one will get the brianlist please help answer these two
Answer:
Hello bakugo here!
Step-by-step explanation:
I don't see anything, is there supposed to be anything here? if not
Thank you extra for FREE points! :D
Find the value of x. Then , find the measure of each angle.
Answer:
I got you :)
Step-by-step explanation:
All angles of a triangle add up to 180 degrees so you can make the equation
3x-2+4x+9+3x-9=180 this equation will help you find x
I used the equation to find out that x=18.2 (i can explain this part further if you would like)
so now you know x=18.2 and all you have to do is plug in
m<H = 3 x 18.2 - 2 = 52.6
m<I = 4 x 18.2 + 9 = 81.8
M<J = 3 x 18.2 - 9 = 45.6
Hope this helps! :)
Also to check work you can do 52.6+81.8+45.6= 180 :) you know its right because it equals 180 degrees at the end
How many years is 694.44 days?
Answer:
1.9 years
Step-by-step explanation:
There are 365 days in a year
694.44 / 365 = 1.9
Hope this helps!
Answer: 1.9013
Step-by-step explanation:
9y-2y+8=4y+38 answer
Answer: y = 10
Step-by-step explanation: Hi there!
To get started, first, we have to subtract 2y from 9y on the left side.
7y + 8 = 4y + 38
Then subtract 4y on both sides.
3y + 8 = 38
Then subtract 8 on both sides
3y = 30
Finally divide by 3 on both sides.
y = 10
The answer is y = 10.
Answer: y=10
Step-by-step explanation:
9y-2y+8=4y+38
[tex]\mathrm{Add\:similar\:elements:}\:9y-2y=7y[/tex]
7y+8=4y+38
[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]
7y+8-8=4y+38-8
[tex]\mathrm{Simplify}[/tex]
7y=4y+30
[tex]\mathrm{Subtract\:}4y\mathrm{\:from\:both\:sides}[/tex]
7y-4y=4y+30-4y
[tex]\mathrm{Simplify}[/tex]
3y=30
[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]
[tex]\frac{3y}{3}=\frac{30}{3}[/tex]
Simplify
y=10
can somone help me out
Hey there!
-----------------------------------------------
What are the FACTORS in this equation:
3 x 4 = 12
Answer:
3 &4
Step-by-step explanation:
Factor is something that is being multiplied together.
What is the lenght of the side opposite the 60 degree angle?
#2 please help me ty if u o
Answer:
the answer is (B) I used an app to solve it
Answer:
The answer would be "B" because you have to cross multiply, which would give you: -3k = 180. Then, you have to divide 180 by -3, which would give you -60.
What is the value of x?
102°
xº
O 51
O 102
O 12
O 78
Answer:
102(vertically opposite angle)
Conner buys 4 balloons. Each balloon costs $2. Conner pays for the balloons with two $5 bills.How much change does Conner get back
Answer:
Conner should get 2 $ back
Step-by-step explanation:
conner should get 2$ back
Point I is on line segment HJ. Given HJ = 15 and IJ
HI.
10, determine the length
Answer:
Point I is on line segment HJ; which means HI and IJ are equal.
HJ = 15
IJ = 10
Finding the length of HI, given the above statements:
Length of HI = 10 (reason: HI and IJ are congruent)
Substitution method
Y = 3x - 2
Y - 3x = 4
Answer:
[tex]\mathrm{No\:Solution}[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}Y=3x-2\\ Y-3x=4\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}Y=3x-2[/tex]
[tex]\begin{bmatrix}3x-2-3x=4\end{bmatrix}[/tex]
[tex]\mathrm\:{Combine\:like\:terms:[/tex]
[tex]\begin{bmatrix}-2=4\end{bmatrix}[/tex]
[tex]-2=4\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}[/tex]
[tex]\mathrm{No\:Solution}[/tex]
1. A quadratic function fis defined by f(x) = (x - 7)(x + 3).
a. Without graphing, identify the x-intercepts of the graph of f. ( , ) and ( , )
b. If x=___, then (____- 7) = 0. If x = ____, then (____+ 3) = 0
c. Expand (x - 7)(x + 3) and use the expanded form to identify the y-intercept of the graph of f. Show work
Expanded form f (x) =_______
y-intercept ( , )
Answer:
a) (-3, 0) and (7, 0)
b) If x = 7 then (7 - 7) = 0
If x = -3 then (-3 + 3) = 0
c) f(x) = x² - 4x - 21
y-intercept (0, -21)
Step-by-step explanation:
a)
x-intercepts are when f(x) = 0
Therefore, if f(x) = (x - 7)(x + 3) then (x - 7)(x + 3) = 0
⇒ x - 7 = 0
⇒ x = 7
and
⇒ x + 3 = 0
⇒ x = -3
So x-intercepts are (-3, 0) and (7, 0)
b) If x = 7 then (7 - 7) = 0
If x = -3 then (-3 + 3) = 0
c) Expand f(x) = (x - 7)(x + 3)
⇒ f(x) = x² + 3x - 7x - 21
⇒ f(x) = x² - 4x - 21
The y-intercept is when x = 0 ⇒ (0, -21)
someone help me please
Answer:
132
Step-by-step explanation:
180-48= 132
Its this bc a straight line is 180 degrees and if you know 48 then its 132+48 which gets 180