A cube is a three-dimensional solid object having six square faces. The measure of the length of the diagonal of the face of the cube is 12.2 cm.
What is a cube?A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex. The cube is one of the five Platonic solids and the only regular hexahedron.
Given the length of an edge of the cube is √75 cm, therefore, the length of the diagonal of the face of the cube will be √2 times the length of an edge of the cube. Thus, the measure of the length of the diagonal of the face of the cube is,
Length of the diagonal of the face = √2 × √75 = 12.2 cm
Hence, the measure of the length of the diagonal of the face of the cube is 12.2 cm.
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Answer: ITS B (12.2)
Step-by-step explanation:
I am the lizard king, I can do anything.
Determine the general solution for sin(x-30°) = cos 2 x
Classify the shapes shown below. Write the letter of each shape in the category that describes it. Shapes may fall into more than one category, and not all shapes will be used. At Least 1 Right Angle At Least 2 Sides of Equal Length At Least 1 Pair of Parallel Sides (sorry i can´t show the shapes it wont let me)
The classification of the shapes into the categories described is as follows;
At Least 1 Right Angle; Right triangle, Square and Rectangle.At Least 2 Sides of Equal Length; Rectangle, Square, isosceles triangle, Parallelogram. At Least 1 Pair of Parallel Sides; Square, Rectangle, Parallelogram.What are the characteristics of place shapes?Plane shapes have peculiar characterization in each case. A triangle can either be isosceles (2 sides of equal length) or right (90⁰ angle measure).
Rectangles, squares and Parallelograms all have parallel sides.
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Sherry is a waitress at a country club restaurant. She receives an automatic 15% tip which is added to the member's check for the
meal.
If she earns $3.25 an hour, works 25 hours this week, and has served meals costing $415, what is Sherry's gross pay?
O $108.90
O $122.75
O $127.25
O 143.50
Answer:
143 50
Step-by-step explanation:
I hope it helps pa brainlest po
HELP ASAP PLSSSS!!!!
If you need an image im putting it down below
Which line best represents the line of best fit for this scatter plot?
Graph shows numbers from 0 to 10 at increments of 1 on the x axis and numbers from 0 to 18 at increments of 2. Scatter plot shows ordered pairs 1, 1 and 2, 4 and 3, 12 and 4, 6 and 5, 8 and 6, 8 and 7, 12 and 8, 10 and 9, 14 and 10, 18. A line labeled P joins ordered pair 0, 1 and 9, 18. A line labeled Q joins ordered pairs 0, 1 and 10, 16. A line labeled R joins ordered pairs 0, 1 and 10, 10. A line labeled S joins ordered pairs 0, 1 and 10, 6.
Line P
Line Q
Line R
Line S
This line is fairly close to the majority of the points shown. Unfortunately there's an outlier left out, but it isn't too far from the main cluster. The further the outlier is, the more pull it will drag the line away from the main cluster.
Line Q
The suitable line should contain most dots near itQ contains atleast 4 around it.No other has soQ is correct
8. (06.04 MC)
Calculate the area of triangle ABC with altitude BD, given A (-6,0), B (0,0), C (0,6), and D (-3,3). (5 points)
18 square units
21 square units
9 square units
18.5 square units
Check the picture below.
the area of the triangle whose base is AC and height is BD, is the same area of the triangle whose base is AB and altitude is BC, namely
[tex]A=\cfrac{1}{2}(\stackrel{b}{6})(\stackrel{h}{6})\implies 18[/tex]
evaluate the expression when m=5 and n=29 n-4m
Answer:
9
Step-by-step explanation:
substitute m = 5 and n = 29 into the expression
n - 4m
= 29 - 4(5)
= 29 - 20
= 9
Alice and malice are twins. they have a brother bob who is 8 years older. if the sum of their ages is 23, find the ages
Answer:
Alice's age = 5 years
Malice's age = 5 years
Bob's age = 5+8 =13 years
Step-by-step explanation:
Let x be the age (in years of Alice and Malice (They have the same age because they are twins).
Age of Bob: x+8 (because he is 8 years older than the twins).
Then the sum of their three ages is 23:
x (Alice's age) + x (Malice's age) +(x+8 ) (Bob's age)= 23
2x + ( x+8) = 23
3x+8 = 23
3x = 15
(3x)/3 = 15/3
x = 5
So ...
Alice's age = 5 years
Malice's age = 5 years
Bob's age = 5+8 =13 years
In 1990, the population of Math Valley was 15,000. If the population is increasing at an annual rate of 2.4%, what was the population in 1965?
if this helped you say meow
i may be wrong but i think you should divide 2.4% by the 15000 wicth is
0.00000016 or just 0.16 or maybe muptication 2.4% x15000 whicth is 360 hope this helps :D
Labor supply and demand are market forces that, ignoring all other factors, determine the equilibrium wage. In the real world, other factors, including government regulations, can play a part in setting wage levels for a given occupation. Describe a government regulation that may affect wage levels. Explain your thinking.
50! POINTS
Federal agencies have the power to enforce those laws through regulation. State lawmakers, in turn, make laws that typically supplement federal legislation. State government regulation examples include setting a higher minimum wage than the federal requirement
Adding extra tax for Imported goods rather than Built in country goods
Look at a situation
In south east Asia ,Tesla is tryiny to import cars from foreign and trying to sell thereBut the tax is about 90% .So it's unfair and not possible for occupationsee picture 40 points
Answer:
volume = 216cm
Step-by-step explanation:
V = (1/2) × b × h × l
V = 1/2 × 6 × 8 × 9
v=216
Answer:
216 cubic centimeters
Step-by-step explanation:
To calculate the volume of a triangular prism, we can use the formula:
V = (length x width x height) / 2
To solve this problem, in particular, all we have to do is substitute the values:
V = (8 x 6 x 9) / 2
V = 216 cubic centimeters
Hope this helps!!
Help with these geometry problems, please! 10th grade geometry
Step-by-step explanation:
3.
the left cup is the summary of 2 cylinders.
the right cup is just a cone.
the volume of a cone is
pi×r²×h/3 = pi×3.5²×6/3 = pi×12.25×2 = pi×24.5 =
= 76.93 in³
the volume of a cylinder is
pi×r²×h
the first cylinder is
pi×3²×1.5 = pi×9×1.5 = pi×13.5 = 3.14×13.5 = 42.39 in³
the second cylinder is
pi×2²×2.25 = pi×4×2.25 = pi×9 = 28.26 in³
in total the cup has
42.39 + 28.26 = 70.65 in³
so, the cone has the larger volume by 6.28 in³ ≈ 6 in³.
that would be 3.479827 fl.oz. ≈ 3 fl.oz. of water.
I have no idea on what scale you need to quantify the amount of water. I just guessed.
2.
here we need the surface area.
the object consists of a large prism (or block) and a cylinder.
we don't need the bottom area for neither, as the cylinder is simply on top of the prism, and its bottom is not going to be painted either.
we need 5 sides of the prism :
front and back
left and right
top (and we need the full top, because the area the cylinder is covering up is the same area for the top of the cylinder).
and the we need to add only the side wall of the cylinder the "mantle".
so,
front and back rectangles are 10×3 × 2 = 60 in²
left and right rectangles are 10×3 × 2 = 60 in²
the top rectangle (square) is 10×10 = 100 in²
the cylinder mantle is
circumference of the circle × height
2×pi×r×h = 2×pi×4×6 = 3.14×48 = 150.72 in²
so, in total we have
60 + 60 + 100 + 150.72 = 370.72 in² ≈ 371 in²
Answer:
Question 2: 320.48 in^2
Question 3: 6.28 in^3
Step-by-step explanation:
Question 2)
The question tells us that the shape will be covered in paint. This means that we need to find the surface area instead of volume. In the question, I’ll find the surface area of the two individual shapes (The cylinder and the rectangular prism) and take away parts that will not be covered in paint.
Rectangular Prism
1. ((10x10)+(10x3)+(10x3))x2 — All rectangular prisms have 2 sides with the same area. Since there are 6 sides total, all we need to do is find 3 sides of different sizes and multiply them by 2. The number we get is 320 in^2.
2. We will not be painting the bottom, so we can take the area of the bottom away. The area of the bottom is 10x10, which is 100. 320 - 100 is 220 in^2.
3. We are also not painting the area where the cylinder is touching the top (The circle-shaped area). The formula of finding the area of a circle is radius x radius x pi. Since the radius is 4 and pi can be rounded to 3.14, the area of the circle will be 4x4x3.14, which is 50.24 in^2. We can take that away from 220, so 220 - 20.24 is 169.76 in^2.
Cylinder
1. 4x4x3.14 — We know that one side of the cylinder (The base) will not be painted, so all we need to do is find the area of one of the bases. Radius x Radius x pi, in this case, is 50.24 in^2.
2. (((4+4)x3.14)x6) — Now we need to find the area of the side of the cylinder. The area of the side is base x height. The base length is the perimeter of the circle. The equation of the circle perimeter is (radius + radius) x pi. In numbers, it will be 8x3.14 which is 25.12. The height of the side is 6, so the equation will be 25.12 x 6, which is 150.72.
3. The surface area of the cylinder (excluding the base at the bottom) is 150.72 in^2.
Since the rectangular prism and the cylinder is stuck together and is considered as a whole, we add the two numbers together. 169.76 + 150.72 = 320.48 in^2!
Question 3)
The amount of water the cups can hold is the same size as the volume of individual cups. In order to find out the amount of water each cup can hold, we need to find the volume first.
Cup #1
1. (2x2x3.14)(2.25) — This is the base times the height of the bottom cylinder. The formula to find a circle is radius x radius x pi, and the height was 2.25. The volume of this shape will be 28.26 in^3.
2. (3x3x3.14)(1.5) — The area of the bottom is radius x radius x pi, and the height was 1.5 If we multiply all of these numbers together, we get 42.39 in^3.
3. Now that we found the two cylinders of the first cup, we can add them together. 28.26 + 42.39 = 70.65.
4. The area of cup #1 is 70.65 in^3.
Cup #2
1. (3.5 x 3.5 x 3.14)(6)(1/3) — The formula for finding the area of a cone is base x height x 1/3. The area of the base is radius x radius x pi, and the height is 6. Then we multiply by 1/3 (or divide by 3). Then, we get 76.93 in^3.
2. The volume of cup #2 is 76.93 in^3.
The question asks: How much more water will the larger cup hold?
Comparing 70.65 in^3 (First cup) and 76.93 in^3 (Second cup), we know that the second cup is bigger. To find the difference in the amount of water it can hold, we can subtract 70.65 from 76.93. This equals 6.28 in^3.
The final answer for Question 3 will be 6.28 in^3!
James, John and Jane decided to buy a piece of land. James paid 3/5 of the total cost while John paid 3/8 of the reminder. if Jane paid 30000.what was the total cost of the piece of land?
The total cost of the piece of land for which James, John and Jane decided to buy a piece of land is 1,200,000.
What is the total cost?Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.
James, John and Jane decided to buy a piece of land. James paid 3/5 of the total cost while John paid 3/8 of the reminder. Thus, the fraction of amount paid by Jane is,
[tex]x=1-\dfrac{3}{5}-\dfrac{3}{8}\\x=\dfrac{40-24-15}{40}\\x=\dfrac{1}{40}[/tex]
The Jane paid, 30000 of total cost which is 1/40 part of it. Thus, the total cost of the piece of land is,
[tex]\dfrac{1}{40}x=30000\\x=30000\times40\\x=1200000[/tex]
Thus, the total cost of the piece of land for which James, John and Jane decided to buy a piece of land is 1,200,000.
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The weights of bushels of corn produced by a large farm are approximately normally distributed with a mean of 89.46 pounds and a standard deviation of 2.31 pounds. A store is buys 5 bushels of corn from the farm. Assume the 5 bushels the store receives is a random sample of all bushels of corn the farm produces. What is the approximate probability that the 5 bushels will have a mean weight of more than 90 pounds
The approximate probability that the 5 bushels will have a mean weight of more than 90 pounds is 0.41
How to determine the probability?The given parameters are:
Mean, μ = 89.46
Standard deviation, σ = 2.31
The z-score at x = 90 is calculated using
[tex]z = \frac{x - \mu}{\sigma}[/tex]
This gives
[tex]z = \frac{90 - 89.46}{2.31}\\[/tex]
Evaluate
z = 0.234
The probability is then calculated as:
P(x >90) = P(z > 0.234)
From z table of probabilities, we have:
P(x >90) = 0.41
Hence, the approximate probability that the 5 bushels will have a mean weight of more than 90 pounds is 0.41
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Solve the equation on the
interval [0, 2π).
5 cos x - √3 = 3 cos x
Answer:
[tex]\displaystyle x=\biggr\{\frac{\pi}{6},\frac{11\pi}{6}\biggr\}[/tex]
Step-by-step explanation:
[tex]\displaystyle 5\cos x-\sqrt{3}=3\cos x;\:0\leq x < 2\pi\\\\5-\frac{\sqrt{3}}{\cos x}=3\\ \\-\sqrt{3}\sec x=-2\\\\\sec x=\frac{2}{\sqrt{3}}\\\\\sec x=\frac{2\sqrt{3}}{3}\\ \\\cos x=\frac{3}{2\sqrt{3}}\\ \\\cos x=\frac{3\sqrt{3}}{6}\\ \\\cos x=\frac{\sqrt{3}}{2}\\\\x=\biggr\{\frac{\pi}{6},\frac{11\pi}{6}\biggr\}[/tex]
PLEASE HELP ILL GIVE BRAINLIST OR WHATEVER
Answer:
1) $181.40
2) $100
3) $81.40
Step-by-step explanation:
Interest rate is 1.5% which mans that the decimal multiplier is 1.015.
1) To find for 40 yrs we do:
40 yrs = 100 x [tex]1.015^{40}[/tex]
= $181.40
2) He contributed $100
3) He gained $181.40 - $100
= $81.40
Select the correct answer.
Consider the piecewise function shown on the graph.
Over which interval of the domain does the graph represent an exponential function?
A. x ≥ 6
B. -3 ≤ x ≤6
C. x ≥ 1
D. -4 < x ≤ 1
Answer:
The answer is D I hope this helps
The required domain for the function given on the graph represents the exponential function is x ≥ 1. Option C is correct.
Given that,
A graph of a function is shown that has 3 distinct functions for its domain, we have to determine which of these 3 functions shows an exponential function.
The function which is in format f(x) = where, a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Since, as we can see throughout the graph the graph constantly decreases to -4 and then shows a parabolic function from -4 to 0.9 afterward it starts increasing exponentially.
Thus, the required domain for the function given on the graph represents the exponential function is x ≥ 1. Option C is correct.
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I need help understanding this, please explain it with the answer.
Suppose y varies inversely with x, and y = −3 when x = 14.
What is the value of y when x = −7?
This is the last question on my HW, and I'm tired, so help would be greatly appreciated :)
Using a proportional relationship, it is found that when x = -7, the value of y will be of y = 6.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
When y varies inversely with x, the rule is given by:
[tex]y = \frac{k}{x}[/tex]
y = −3 when x = 14, hence we use this to find k.
[tex]-3 = \frac{k}{14} \rightarrow k = -42[/tex]
Then:
[tex]y = -\frac{42}{x}[/tex]
Then when x = -7, y = -42/-7 = 6.
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DIFFICULT EXACT TRIGONOMETRY, NON-CALCULATOR, PLEASE HELP
Step-by-step explanation:
area of quadrilateral = sum of area of triangles
area of triangle ADC = .5 * b * h
= .5 * 12 * 5 = 30 km^2
area of ∆ABC = .5 * sinx* ab* ac
= .5 * sin 30 * 3* 13 = 39/4 = 9.75 km^2
area of quadrilateral = 39.75 km^2
total cost =$ 397.5 million
Need help quick please! Find the surface area. Hint you will need to use Pythagorean theorem
Answer:
80
Step-by-step explanation:
I need help with math!!! please help
Answer:
x = 10
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
6x-6 + 7x+1 +55 = 180
Combine like terms
13x+50=180
Subtract 50 from each side
13x+50-50=180-50
13x = 130
Divide by 13
13x/13 =130/13
x = 10
The answer is A!
From this, we will get the equation
(13x -5) + 55 = 180
+ 5 on both sides
13x + 55 = 185
-55 on both sides
13x = 130
Divide by 13 on both sides
x = 10
Use the change of base formula to compute logo 4.
Round your answer to the nearest thousandth. Yea
Answer:
[tex]\log_{9}4\approx 0.631[/tex]
Step-by-step explanation:
The change of base formula we can use is
[tex]\log_{b}a=\frac{\log{a}}{\log{b}}[/tex]
Not all calculators will allow the user to directly enter the logarithms with a given base, so the change of base can be used for all calculators, which use the common log.
Common logs have a base of 10.
Let's convert your expression:
[tex]\log_{9}4=\frac{\log4}{\log9}[/tex]
Using our calculator, we will compute log 4 divided by log 9:
[tex]\frac{\log4}{\log9}\approx0.631[/tex].
In a certain family, the probability of having twins in 0.08 and the probability of having a single baby is 0.92. What is the probability of a family having two sets of twins?
Answer:
0.0064
Step-by-step explanation:
Probability (2 sets of twins) :
When a probability of an event is asked multiple, apply the number of times as an exponent to the probability of the eventP = (0.08)²P = (8 x 10⁻²)²P = 64 x 10⁻⁴P = 0.0064Find m.
30°
m
Write your answer in simplest radical form.
feet
60°
6 ft
Answer:
M=3ft
Step-by-step explanation:
Use trigonometric ratio Sin to get M which is the opposite side of the given angle of 30°
[tex]sin = \frac{opp}{hyp} [/tex]
[tex]sin30 = \frac{m}{6} [/tex]
Multiply 6 on both sides:
[tex]6sin30 = m[/tex]
Use a calculator:
3=M
or..
use special angles:
Sin30=0.5
6×0.5=3
Therefore M is 3 ft
I really don't understand Adding and Subtracting Fractions with unlike Denominators?
5/8 - 2/32 =
Answer:
answer is 9/16 (9 over 16) Decimal form 0.5625
Step-by-step explanation:
6 times 10^5 is how many times as as large as 3 times 10^3?
Answer:
200
Step-by-step explanation:
(6 × 10^5) / (3 × 10^3) = 6/6 × 10^5/10^3 = 2 × 10^2 = 200
Answer:
200
Step-by-step explanation:
(6 × 10^5) / (3 × 10^3) = 6/6 × 10^5/10^3 = 2 × 10^2 = 200
Which fraction and decimal are equivalent to 10^-3
Answer:
1/1000, 0.001
1/1000
Convert the negative exponent of base 10 into decimal: move to the left thrice
=0.001
write an equation in point-slope form for the given point and slope: point: (-7, 5) slope: 3
Answer:
y - 5 = 3(x + 7)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = 3 and (a, b ) = (- 7, 5 ) , then
y - 5 = 3(x - (- 7) ) , that is
y - 5 = 3(x + 7)
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!
Answer:
multiply the number with 4
Step-by-step explanation:
2 8 32 128
2x4 =8
8×4=32
32×4=128
128×4=512
[tex]\text{First term,}~ a =2\\\\\text{Common ratio,}~ r = \dfrac{8}2 = 4\\\\\text{Nth term} = ar^{n-1}\\\\\text{7th term} = 2 \cdot 4^{7-1} = 2 \cdot 4^6=8192\\ \\\text{Hence, the 7th term in the geometric series is 8192.}[/tex]
Using the image above, what is the measure of Side AC? Round to the nearest hundredth
To solve this problem, we just have to use trigonometric ratios and apply which of the ratios is needed here and proceed to solve. The value of side AC is 2.85 units
Trigonometric RatioIn the given diagram, we have the value of angle and hypothenuse and we are required to find the adjacent side of the triangle.
Data;
Angle = 32.9 degreesHypothenuse = 3.4Let's use cosine rule for this.
[tex]cos\theta = \frac{adjacent}{hypothenuse}[/tex]
Proceed to substitute the values into the equation and solve.
[tex]cos 32.9 = \frac{AC}{3.4} \\AC=3.4cos32.9\\AC = 2.85[/tex]
From the calculations above, the value of side AC is 2.85 units
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Is the point (2,-11) on the circle with radius 5 and center (2,13)?
Answer:
No
Step-by-step explanation:
Identify the equation for the circle
[tex](x-h)^2+(y-k)^2=r^2\\(x-2)^2+(y-13)^2=5^2\\(x-2)^2+(y-13)^2=25[/tex]
Check if (2,-11) is a point on the circle
[tex](x-2)^2+(y-13)^2=25\\(2-2)^2+(-11-13)^2=25\\0^2+(-24)^2=25\\576\neq25[/tex]
Since both sides of the equation are not equal to each other, then (2,-11) is not a point on the circle.