Answer:
The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage. Where: L = List Price. S = Sale Price
There are 190 people on the beach. 110 are wearing sunglasses, 70 are wearing bathing suits, and 95 are wearing a hat. Everyone is wearing at least one of these items. 30 are wearing both bathing suits and sunglasses. 25 are wearing both bathing suits and a hat. 40 are wearing both sunglasses and a hat. How many people are wearing all three items
190=110+70+95−(30+25+40)+x190=110+70+95−(30+25+40)+x
Simplifying, we get that x=10x=10.
its 10
What are the roots of the equation 16x² + 16x + 5 = 0 in simplest a + bi form?
Answer:
Below in bold.
Step-by-step explanation:
Using the quadratic formula :
roots = [-16 +/-√(16^2 - 4*16*5)] / (2*16)
= -0.5 +/- √(-64) /32
= -0.5 +/- 8i/32
= -0.5 + 0.25i and -0.5 - 0.25i
[tex]\sf\longmapsto 16x^2+16x+5=0[/tex]
[tex]\sf\longmapsto x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm\sqrt{16^2-4(16)(5)}}{2(16)}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm√256-320}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm√-64}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm8i}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-2\pm i}{4}[/tex]
[tex]\sf\longmapsto x=\dfrac{-1}{2}\pm\dfrac{1}{4}i [/tex]
A flagpole AB, of height 5.8 m, stands on top of a wall BC. ABC forms a straight line. The wall leans slightly so that it makes an angle of 96° with the horizontal ground CD. The angle of elevation of the top of the wall, B, from the point D is 38°. Given that BD is 27.3 m, calculate AD.
Answer:
The answer is actually 31.6 m (3 s.f.). The correct process will be use the sine rule to find out BC and CD. Then find out the length of AC by adding AB (which is 5.8 m) and BC (16.9 m after working out). Then work out the angle of CAD, which will be 46 degrees. Then use the cosine rule on triangle ACD to dine out AD.
Step-by-step explanation:
pls subs to my yt
PLEASE HELP Me!!!!!!!!!!
Answer:84
Step-by-step explanation:
hope this helps :))
The ratio of dogs to cats at a local animal shelter is 13/25. Which statement must be true.
for every 13 dogs, there are 25 cats. is the answer.
The angle measurements in the diagram are represented by the following expressions.
Answer:
114 degrees
Step-by-step explanation:
6x+12=3x+63
-3x -12 -3x -12
3x=51
x=17
6(17) +12 = 114
Someone plz help me :(
Answer:
yes its B................
I am having a hard time on this question. Can you please explain it to me? Please keep it simple so I can understand it. I have already checked them and I just have this feeling that i'm not correct.
John is going to a gym. He must pay a one time membership fee of $75 and a monthly fee of $30. let m=the number of months john has his membership. write an expression to represent this situation. how much will john pay for 6 months of membership?
Answer:
30m + 75
$255
Step-by-step explanation:
Since John has to pay a monthly fee of 0, you can let m represent the number of months and then add the one time membership fee of $75.
30 multiplied by 6 is 180 and 180 plus 75 is 255.
1. Find the slope of the line that passes through
the points (6, 13) and (-3, 7).
Answer:
hope this helps :)
Identify the vertex of: F(x)-4=(x+1)²
A.)(-4,1)
B.) (1,-4)
C.)(1,-4)
D.) -1,4)
Answer:
D
Step-by-step explanation:
move 4 to right, then its in vertext form where where -h = 1 and k = 4. the vertext is (h,k), so just swap thr sign in h andnout it into the coordinate and get (-1,4)
A dairy made 97.01 ounces of yogurt. Then a local market bought 84 ounces of the yogurt. How much yogurt does the dairy have left?
−6/7 m = −84
what does m =
Answer:
m=98
Step-by-step explanation:
-6/7m=-84 - Divide both sides by -6/7
-84/(-6/7)=84*7/6=98
Answer:
m = 98
Step-by-step explanation:
First multiply the fraction's denominator, which is 7, on both sides to get -6m = -588. Then divide both sides by -6 to get m = 98.
Hope this helps you :)
Divide using the division algorithm 392,196 divided by 87
(No long division)
Is anyone can do this?
Answer:
Surface of[tex]35,875.86 cm^2[/tex]
Voliume of [tex]234,671.58 cm^3[/tex]
Long and painful calculations
Ok, this is going to take some time. The volume is the sum of all the solids, minus the half cylinder that makes the "tunnel" beneath it. That said, we can split the item into 3 main shapes, and the cylinder: The pyramid in the top left, the square based prism below the pyramid, and the trapezoid prism to the right. I edited a bit the image with paint to add measurements. It's paint so quality is what it is and deal with comic sans as a font.
Let's find the total surface first. We have the surface of the four faces of the pyramid, which are triangles of base 54 and height (red line)[tex]\sqrt{36^2+(\frac{54}2)^2} =\sqrt{2025}=45cm[/tex], givins us a total area of [tex]4\times \frac{bh}2 = 2\times 45\times 54 = 4860 cm^2[/tex]
We add the two lateral faces of the left prism: they are two rectangles of side length 70 and 54, for a total area of [tex]2(70)(54) = 7580 cm^2[/tex]
Take the rectangle to the side of the prism, of sides 54 and 70-34 = 36, giving an area of [tex]54\times 36 = 1944 cm^2[/tex]
Pick the inclined "roof" of the right prism, again a rectangles, sides 54 and 61: surface is [tex]3294 cm^2[/tex]
Two side faces of the right building: first pick the height (magenta line), with pythagorean theorem again, equal to [tex]\sqrt{ 61^2-11^2} = \sqrt{3600} = 60 cm[/tex]. The surface becomes [tex]2 \frac{(B+b)h}2 = (34+45)(60)= 4740 cm^2[/tex]
Missing the short sides and the half cylinder making the gallery. The sides - if you imagine un-hinging one and attaching to the bottom of the other - will make a rectangle of sides (45+70) cm and 54 cm with a circular hole in the middle. surface is [tex](45+70)\times54 - \pi(54/2)^2 =[/tex][tex]3920.94 cm^2[/tex].
Finally, the half cylinder. It's a "rectangle) tall (60+54) cm - the length of the whole contraption, and long half the circle, or [tex]27\pi[/tex]. It's surface is [tex](60+54)\times\27\pi = 9664.92 cm^2[/tex]
Done with surfaces. At this point we just add everything together. Grab a calculator and start adding up, if I didn't miss anything the total surface will be [tex]35875.86 cm^2[/tex]
Volumes now. You wished this was over? I totally did.
Bulk of the calculations are done luckly. It's just to cut and paste here and there.
Pyramid first. We know the side length, we know the height, volume is the usual formula
[tex]\frac 13l^2h = \frac 13 54^2\times 36= 33,048 cm^3[/tex]
Cube beneath. This one is also easy Sides are 54cm, 54cm and 70cm, volume is their product:
[tex]54*54*70= 204,120 cm^3[/tex]
Side prism now: again base surface times height, let's use the trapezoid as a base since we already have the area from above:
[tex]A_th = 2370\times54 = 127,980 cm^3[/tex]
From this we take half a cylinder of radius 27 tall as the whole structure is long. [tex]\frac12 \pi r^2h = \frac12 \pi (27)^2(60+54) = 130,476.42 cm^3[/tex]
We're done. Let's add the volume of the first 3 solids and subtract the last one - hope you have your calculator handy, to get in total a volume of [tex]234,671.58 cm^3[/tex]
Double and triple check numbers, even if I rand them with excel.
Need help with this pls asap
The cube has an edge of 1/4. What is the volume of the cube?
Step-by-step explanation:
V = Volume of cube
a = edge of cube
Formula of volume of cube:
V = a³
[tex]V = { (\frac{1}{4}) }^{3} \\ V = \frac{1}{64} [/tex]
Volume of the cube = [tex] \frac{1}{64} [/tex]
Convert -450° from degrees to radians. (5 points)
negative five pi divided by two
negative five pi divided by four
five pi divided by two
negative five pi
Help me
pleaseeee
i need help
Answer:
A=2, B=28
Step-by-step explanation:
A:6:7
8:24:B
A=8÷4
=2
B=7×4
=28
Answer:A=2
B=28
Step-by-step explanation:
Solve the given equation
x – 1 + 5x = 23
Step-by-step explanation:
x - 1 + 5x = 23
6x - 1 = 23
6x = 23 + 1 = 24
6x = 24
x = 24/6
x = 4 ans.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.
order the values from least to greatest
Answer:
-7.2, -6.3, [5], [-6.3], 8
find the slope of the line that passes through the points (-2 3 )and( 4 3)
Step-by-step explanation:
Given points,
( -2 , 3) and (4,3)
we know,
slope = y_2 - y_1 / x_2 - x_1
so according to it we got,
→ (3 - 3)/4 - (-2)
→ 0/6
hope this answer helps you dear! take care.
Hello!
To find the slope when we have 2 points, we use the following formula:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
m=[tex]\frac{3-3}{4-(-2)} \\\frac{0}{6} \\0[/tex]
Here's something for you to remember:
When the y-coordinates of two points are the same, the slope is 0.Hope it helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Someone please answer this, I’ll give you brainliest and 50 points!
Answer:
3
Step-by-step explanation:
Answer:
Answer 2
Step-by-step explanation:
4 ones 4 tenths plus 4 tenths
Answer:
4 8/10
Step-by-step explanation:
4x1+4x1/10+4x1/10=4+4/10+4/10=4 8/10
Adding 4 ones, 4 tenths and 4 tenths gives 4.8
To add 4 ones, 4 tenths and 4 tenths, we can combine the whole numbers and the decimal parts separately.
4 ones = 4 x 1
4 tenths = 4 x 1/10
So, 4 ones + 4 tenths + 4 tenths
= 4 x 1 + 4 x 1/10 + 4 x 1/10
= 4 + 0.4 + 0.4
= 4+ 0.8
= 4.8
Therefore, when you add 4 ones, 4 tenths and 4 tenths, the result is 4.4.
Learn more about Place value here:
https://brainly.com/question/27734142
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A book has 12 chapters. The mean length of the chapters is 38 pages. How many total pages are there in the 12 chapters
The decimal approximation for cot(235°36') is approximately -0.9503.
To find the decimal approximation for cot(235°36'), we first need to convert the angle to degrees.
The given angle is 235°36'. We can convert this to decimal degrees by adding the fraction of minutes to the degree value. There are 60 minutes in a degree, so we divide 36 by 60 to convert it to a fraction of a degree:
36 / 60 = 0.6 degrees
Now, we can add this fraction to the degree value:
235 + 0.6 = 235.6 degrees
The cotangent function is the reciprocal of the tangent function. To find the cotangent of an angle, we can use the following formula:
cot(x) = 1 / tan(x)
Since we want to find cot(235.6°), we can find tan(235.6°) first and then take the reciprocal.
Using a scientific calculator or software, we can find
tan(235.6°) ≈ -1.0529
Now, we can take the reciprocal to find cot(235.6°):
cot(235.6°) ≈ 1 / (-1.0529) ≈ -0.9503
Therefore, the decimal approximation for cot(235°36') is approximately -0.9503.
for such more question on fraction
https://brainly.com/question/28372533
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i need help someone plzzz
Answer:
on what...like brush how do we help u if u don't have a question
I need help I’m revising for a test and l don’t understand this question please help!
Answer:
- 5 ≤ x < 3
Step-by-step explanation:
The lower limit has a solid circle at - 5
This means that x can equal - 5
The upper limit has an open circle at 3
This means that x cannot be equal to 3
The inequality represented by the diagram is then
- 5 ≤ x < 3
write 3 example of quantities or things you know, or you have experienced within your community that show different types of variation.
Answer:
Type of variation
1) Direct variation
Simple equation y=Kx
Y varies directly with x
Practical example-
Radius of the circle lit by a car's
Light decreases (y) as the distance away from the garage decreases (c)
2) Inverse variation
Simple equation y=k/x
Y inversely with c
Example- the brightness of a car's light increase (y) as the distance away from the garage decreases (x)
3) Joint variation
Simple equation y=kxz
Y varies jointly with x and z
Example-The heat lose through a glass window (y) varies jointly with the area of the window (x) and the temperature differences between inside and outside
Step-by-step explanation:
I don’t understand please help
Answer:
Step-by-step explanation:
Convert the exponential equation to a logarithmic equation using the logarithm base
( 5 ) of the left side ( 25 ) equals the exponent ( 2 ) . log 5 ( 25 ) = 2
Use the definition of a logarithm,
log b ( x ) = y ⟹ b y = x , to convert from the logarithmic form to the exponential form.
32 4/ 5 = 16
NEED HELP ASAP Evaluate the expression when g = 3.
4g
Answer:
12
Step-by-step explanation:
4(3)
4*3 = 12
Answer:
It is 12 I got it right.
Step-by-step explanation:
Convert 32 feet per second to kilometers per hour. (Hint: There are 5280 feet in a mile, and one mile is 1.61 kilometers)
Answer: 35.113
Hope this helps!