Answer: [tex]\bold{-\sqrt{5}-7\sqrt{3}}}[/tex]
Step-by-step explanation:
[tex]\left(3\sqrt{5}-4\sqrt{3}\right)-\left(3\sqrt{3}+4\sqrt{5}\right)[/tex]
[tex]=3\sqrt{5}-4\sqrt{3}-3\sqrt{3}-4\sqrt{5}[/tex]
[tex]\mathrm{Add\:similar\:terms:}\:3\sqrt{5}-4\sqrt{5}=-\sqrt{5}[/tex]
[tex]=-\sqrt{5}-4\sqrt{3}-3\sqrt{3}[/tex]
[tex]\mathrm{Add\:similar\:terms:}\:-4\sqrt{3}-3\sqrt{3}=-7\sqrt{3}[/tex]
[tex]{=-\sqrt{5}-7\sqrt{3}}[/tex]
Aaron wants to paints a wall in his office. There are two windows in the wall. The windows have dimensions of 4 feet by 3 feet. The height of the wall is 8 feet and the width is 12 feet. What area of wall is to be painted.
Answer:
Answer:we are looking for the area of the Wall to be painted.
Answer:we are looking for the area of the Wall to be painted.Area=L × B
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows area
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LB
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4AW=96-12
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4AW=96-12AW=84
Answer:we are looking for the area of the Wall to be painted.Area=L × Bbut here we are going to deduct area of the window from the walls total area, to get the actual area of wall to be painted.AW = TW area - windows areaAW=LB - LBAW=8×12- 3×4AW=96-12AW=84therefore area to be painted=84feet square
Under a dilation, are the pre-image and the image always,
sometimes, or never congruent?
Answer:
Never congruent
Step-by-step explanation:
A dilation is a transformation that makes an image that is thr same shape as the original, but a DIFFERENT SIZE.
Congruent shapes means they both have the same shape AND size.
So a dilation of the new image/shape can NEVER have the same shape AND size with the original.
BRAINLIEST?? TY!! :DD
Think carefully about the angle relationship the following represents.
What is the value of x?
1) 48
2) 66
3) 24
4) 33
Answer:
x = 66°
Step-by-step explanation:
The angles lie on a straight line.
→ A straight line has total 180 degrees
2(x) + 48° = 180°2(x) = 180° - 48°2(x) = 132°x = 66°Answer:
2) 66
Step-by-step explanation:
2x + 48° = 180° (Angles in linear pair)
-> 2x = 180° - 48°
-> 2x = 132°
-> x = 132°/2
-> x = 66°
Enlarge the house using a scale factor of 1 : 2.
Answer:
See picture & explanation below.
Step-by-step explanation:
The scale is 1:2, so everything is doubled in size.
Count the number of squares each segment is in length and multiply it by 2. Then draw all new segments that are twice as long as the original ones to create a house that is twice as large as the original house.
See the picture below.
If a=2, b=-1 and c= 1, then find the value of:
A- a+b-c²
B- a³-b+c
C- a-b-c
A- a+b-c²
=2+(-1-1)^2
=1-1
=0
B-a³-b+c
2^3-(-1+1)
=8+1+1
= 10
C-a-b-c
2-(-1-1)
=2+1-1
=2
Need some help with a math problem. The problem is: The figure is made by attaching semicircles to each side of an 11 ft-by-11-ft square. Find the area, in square feet, enclosed by the figure. Use 3.14 for pi. Round to the nearest whole number.
math help i’ve been stuck on this for the longest
Need ans for it fastt!!
[tex]\text{L.H.S}\\\\=\dfrac{1}{\sin^2 A} - \dfrac1{\tan^2 A}\\\\\\=\dfrac{1}{\sin^2 A}- \dfrac{1}{\tfrac{\sin^2 A}{\cos^2 A}}\\\\\\=\dfrac{1}{\sin^2 A} - \dfrac{\cos^2 A}{\sin^2 A}\\\\\\=\dfrac{1 - \cos^2 A}{\sin^2 A}\\\\\\=\dfrac{\sin^2 A}{\sin^2 A}\\\\\\=1\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with center at point C.
Alicia draws two diameters and connects the points where the diameters intersect the circle, in order, around the circle.
Benjamin tells Alicia that she was not being very accurate. He says that the diameters must be perpendicular to each other. Then she can connect the points, in order, around the circle.
Caleb tells Alicia and Benjamin that he doesn’t need to draw the second diameter. He says that because a triangle inscribed in a semicircle is a right triangle, he will simply draw two such triangles, one in each semicircle. Together the two triangles will make a square.
Who is correct?
Only Alicia is correct.
Only Benjamin is correct.
Only Caleb and Benjamin are correct.
Only Caleb is correct.
Alicia, Benjamin, and Caleb are all correct
A string 1 metre long is cut into 3 pieces, A,B and C. A is 10 cm long and C is 30 cm long, find the ratio of the lengths of A to C to B
Answer:
The semi annual compound interest of a sum of money in 1 year and 2 years are Rs. 2100 and Rs. 4641 respectively, find the rate of interest and the sum.
A farmer needs to construct a square fence with an area of 121 square feet to hold farm animals. how long does each side of the fence have to be to fulfill his 121 square foot requirement?
Answer:
The side length of the square is 11 feet.
Step-by-step explanation:
Let S = side length
Let A = area
[tex]A = S^{2}\\121 = S^{2}\\\sqrt{121} =\sqrt{S^{2} } \\S = 11[/tex]
True or false.
If two figures are similar and one is bigger than the other, the scale factor of bigger to smaller will be the same as the scale factor of smaller to bigger.
don't guess
Answer:
true
Step-by-step explanation:
is (x+5) A FACTOR OF f(x) = x3 − 4x2 + 3x + 7
Answer:
(x+5) is not a factor of f(x)
Step-by-step explanation:
Step 1 : we solve the equation x +5 = 0
x + 5 = 0 then x = -5
Step 2: we plug in -5 into f(x)
If we get zero then x+5 is a factor of f(x)
If we get a number other than zero then x+5 is not a factor of f(x)
Calculation:
f(-5) = (-5)³ − 4(-5)² + 3(-5) + 7 = - 233
Since we got -233 and not 0
Therefore ,(x+5) is not a factor of f(x)
Answer:
(x + 5) is not a factor of f(x) = x^3 - 4x^2 + 3x + 7
Step-by-step explanation:
To see if (x + 5) is a factor, you can use either synthetic division or long division.
I'll be using synthetic division to divide f(x) by (x + 5):
-5 | 1 -4 3 7
| -5 45 -240
---------------------
1 -9 48 -233
The remainder is -233, which means that (x + 5) is not a factor of f(x) since there is a remainder.
Therefore, (x + 5) is not a factor of f(x) = x^3 - 4x^2 + 3x + 7.
In a group of 50 patrons, 14 patrons like lattes and espressos, 11 patrons like
espressos and cappuccinos, 7 patrons like lattes and cappuccinos, and 3
patrons like all 3 coffee drinks. Altogether, 22 patrons like lattes, 30 patrons
like espressos, and 23 patrons like cappuccinos. How many patrons don't like
any of these coffee drinks?
Answer:
B
Step-by-step explanation:
This problem can be solved using a venn diagram! Just draw bubbles and the common numbers! I attached an image below!
With these numbers we can see how many there are in common. By subtracting the common numbers we get that there are 4 that don't like any. So the answer is B.
Please someone help!!!!
Kristine observes the top of a lookout tower from a point 220 ft from its base.
If the indicated angle of elevation measures 37º, how tall is the tower? Give your answer to the nearest tenth of a foot.
Answer:
165.8 ft (nearest tenth)
Step-by-step explanation:
We can use the tan trig ratio to calculate the height of the tower.
[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] = the angleO = the side opposite the angleA = the side adjacent the angleFrom inspection of the diagram:
[tex]\theta[/tex] = 37°O = height of tower (let's call this h)A = 220 ftSubstituting these values into the trig tan ratio:
[tex]\sf \implies tan(37)=\dfrac{h}{220}[/tex]
Multiply both sides by 220:
[tex]\sf \implies 220tan(37)=h[/tex]
[tex]\sf \implies h=220tan(37)[/tex]
[tex]\sf \implies h=165.781891[/tex]
Therefore, the height of the tower is 165.8 ft (nearest tenth)
Please solve all the problems I’m failing this is my only chance to get my grade up
The volume of this right trapezoidal prism is 464.75 ft³. What is the height, x, of the prism? Enter your answer as a decimal in the box.
Check the picture below.
so the volume is really just the product of the trapezoidal face and the length, and we know is 464.75 ft³.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=5\\ b=8\\ a=5 \end{cases}\implies A=\cfrac{5(5+8)}{2}\implies A=\cfrac{65}{2}~ft^2 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\large volume of the prism}}{\stackrel{\textit{area of trapezoid}}{\left( \cfrac{65}{2} \right)} \stackrel{length}{(x)}}~~ = ~~464.75\implies \cfrac{65x}{2}=464.75 \\\\\\ 65x=(2)464.75\implies x=\cfrac{(2)464.75}{65}\implies x=14.3[/tex]
Yo I need to bring up my grade bad so
3x=3y-6
(please show it graphed already :D)
Answer:
Step-by-step explanation:
243+222 Based on the passage, which statement is fact rather than fictio
Answer:465
Step-by-step explanation:
Answer: the answer is d) several players have asthma .
243+222=465
Step-by-step explanation:
which is true because players do have asthma and ii also took the test and made a 100 .
Identify the number of vertices, edges, and faces of the polyhedron. Use your results to verify Euler's formula.
Answer:
The Last option
Step-by-step explanation:
We see this figure has eight faces, so we already know the answer choice is D, because answer choice D is the only option with 8 faces.
Now let's prove this using Euler's Formula
F = Faces
V = Vertices
E = Edges
We see 12 vertices, 8 faces, and 18 edges. Now plug in the formula.
F + V = E + 2
8 + 12 = 18 + 2
20 = 20
If sally had 5 apples and Sam took 3 how many apples are left
Answer:
2 apples are left
Step-by-step explanation:
Lesson 4.02
A grocery store finds that the number of boxes of a new cereal sold increases each week. In the 1st week,
32 boxes of the cereal were sold. In the 2nd week, 56 boxes of the cereal were sold and in the 3rd week 80
boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic
sequence.
A) State the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in
week n.
B) Use this rule to calculate how many boxes of cereal will be sold during the 12th week.
The boxes in the grocery store is an illustration of an arithmetic sequence
The explicit rule of the sequence is f(n) = 32 + (n - 1) * 24, and there are 296 boxes in the 12th week
How to determine the explicit rule?
The arithmetic sequence can be represented as:
32, 56, 80.......
Calculate the common difference (d)
d = 80 - 56 = 24
An arithmetic sequence is represented as
f(n) = a + (n -1) * d.
So, we have
f(n) = 32 + (n - 1) * 24
The number of box in the 12th week.This means that n = 12.
So, we have
f(12) = 32 +(12-1)*24
Evaluate
f(12) = 296
Hence, there are 296 boxes in the 12th week
Read more about arithmetic sequence at:
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BRAINLISTTT please explain how to do this!!
Answer:
You can make either an x|y list or use desmos graphing calculator to help you.
Step-by-step explanation:
x|y list means you should pick a value like -2,-1,0,1,2 and plug it in for x and the value you get is the y and you can plot those points on the graph.
A truck driver earns $51.20 driving an 80-mile route. The driver’s next route is 120 miles long and is billed at the same rate.
How much does the driver earn on this next route?
Answer:
$76.80
Step-by-step explanation:
since you can't multiply to more easially get your answer you want to divid ethe $51.20 by 2 which = $25.60
he get's 25.60 for 40 miles
since 120 divided by 3 = 40 this means:
40x3=120
25.60x3=76.80
25.60+25.60=51.20+25.60= 76.80
Hope this helps!
Brainliest please!
Please fully rate!
Have a great day!
Find the area of the shaded region. Round your answer to the nearest tenth.
please help
Answer:
41.0 cm^2 to nearest tenth.
Step-by-step explanation:
Required area = Area of the semicircle - area of the clear triangle
Area semicircle = 0.5πr^2
= 0.5π *6^2
= 18π.
Finding Altitude h of the triangle :
cos 60 = h / 6
h = 6 cos 60 = 6 * 1/2
= 3.
Finding Base b of the triangle:
sin 60 = 0.5b / 6
0.5b = 6 * sin 60
= 5.196.
So area of the triangle = h * 0.5b
= 3 * 5.196
Area of shaded region
= 18π - 3 * 5.196
= 40.96 cm^2
Answer:
38.52 cm²
Step-by-step explanation:
Take the shaded area to be found into 2 parts :
Left sectorTop area subtended by the chordArea of left sector
As the area subtended by the chord takes up an angle of 120°, the remaining angle of the semicircle is :180° - 120° = 60°Area = πr² x (angle of sector)/360°Area = 3.14 x (6)² x 60/360Area = 3.14 x 36 x 1/6Area = 3.14 x 6Area = 18.84 cm²Area subtended by top chord
Area (120° sector) - Area (triangle)Area = πr² x θ/360 - 1/2bhArea = 3.14 x 36 x 120/360 - 1/2 x 6 x 6Area = 3.14 x 12 - 18Area = 37.68 - 18Area = 19.68 cm²Area (shaded)
Area (left sector) + Area (subtended by chord)18.84 + 19.6838.52 cm²Elizabeth is five-sixths the age of her
sister Nancy. If Elizabeth is ten years
old, how old is Nancy? Write an
equation
to calculate Nancy's age.
Answer: Nancy is 12
Nancy = 5/6N =10
Step-by-step explanation:
Elizabeth = 5/6N
5/6N = 10
Divide both sides by 5/6
A camera lens magnifies an object 10 exponent 3 times. The length of an object is
10 exponent -4 centimeter. What is its magnified length?
Answer:
10^3/10^-4
Step-by-step explanation:
FROM MATH MULLIGAN
What is Lens Focal Length
Focal length, usually represented in millimeters (mm), is the basic description of a photographic lens. It is not a measurement of the actual length of a lens, but a calculation of an optical distance from the point where light rays converge to form a sharp image of an object to the digital sensor or 35mm film at the focal plane in the camera. The focal length of a lens is determined when the lens is focused at infinity.
Lens focal length tells us the angle of view—how much of the scene will be captured—and the magnification—how large individual elements will be. The longer the focal length, the narrower the angle of view and the higher the magnification. The shorter the focal length, the wider the angle of view and the lower the magnification.
The magnified length of the object is 10⁻¹ m
What is magnified length?An image is said to be magnified when its size is greater than that of the object, and it is said to be diminished when its size is smaller than that of the object.
Given that,
A microscope magnifies an object 10³ times. The length of an object is 10⁻⁴ meters. The magnified length is:
10³ × 10⁻⁴ m
We can solve this by applying the Product of Powers Property. This property states that to multiply powers having the same base, we have to add the exponents.
10³ × 10⁻⁴ m
= 10³⁺⁽⁻⁴⁾ m
= 10³⁻⁴ m
= 10⁻¹ m
Hence, the magnified length is 10⁻¹ m.
Learn more about magnified length, click;
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I got the question wrong
Answer:
Philadelphia
Step-by-step explanation:
Philadelphia
in 1990 the population was 1.6 million.in 2000 the population decreased to about 1.5 million.San Diego
in 1990 the population was 1.1 million.in 200 the population increased to about 1.2 millionHouston
in 1990 the population was 1.6 million.in 2000 the population increased to 2 million.Phoenix
in 1990 the population was 1 million.in 2000 the population increased to 1.2 million.
Explanation:
The top bar as a darker shade represents the population in 1990, and the lighter shade down below is the population for the year 2000.
The city of Dallas has its population increase because the lighter shaded bar is longer. This rules out choice A. Choices B and C are ruled out for similar reasoning (Phoenix and San Diego also show population growth).
Only Philadelphia experiences population decline during this time period.
Perry pays $340 per month to lease her car. How much will she pay to lease her car for two years?
$340 × 24 (12 months in one year)
= $8160
D) If Clarissa pays $84 to buy a watch after a
discount of 20%, find the original price of the
watch
Answer:
$100.80
Step-by-step explanation:
84 * 1.20 (120%) is 100.80
Answer:100.8
Step-by-step explanation:
0.2x84=16.8 so 16.8 is the discount.
84+16.8=100.8