Answer:
Greatest diameter of hemisphere = 14 cm
Surface area of solid = 1330 cm²
Step-by-step explanation:
Side of the cube (a) = 14 cm
If a cube is surmounted (placed right over its top) by a hemisphere, then that means that the greatest diameter of the hemisphere will be equal to the measure of the edge of the cube (a cube has equal sides). Hence, the greatest diameter of the hemisphere is 14 cm & the radius (r) will be 14/2 = 7 cm (radius = ½ diameter)
Now, we need to find the surface area of the solid.
Here, the solid comprises of a cube & a hemisphere sharing a same circular base area. Hence,
Surface area of the solid
= Surface area of cube + Curved surface of hemisphere - Circular base area
= 6a² + 2πr² - πr²
= 6a² + πr²
= 6(14)² + 22/7×(7)² [π = 22/7]
= 1176 + 154
= 1330 cm²
[tex]\rule{150pt}{2pt}[/tex]
NOTE:
Refer to the attached picture to see how a hemisphere is surmounted on top of a cube.
[tex]\rule{150pt}{2pt}[/tex]
Please find attached herewith the solution of your question.
If you have any doubt, feel free to ask.
a restaurant chains owners are trying to decide if they want to open up a franchise in your town to help them decide they want to find out how often people in your town go out to eat. A researcher interviews people leaving a local restaurant. Is there a bias in this sampling method? Explain.
Answer:
It's biased, they are only sampling people who are eating out at the time. It leaves out those not currently at the restaurant.
Step-by-step explanation:
X-3/18=12/9 solve for x
Answer:
X= 3/2
Step-by-step explanation:
hope this helps
Which is the expression is equivalent to 27/125
a (3/5)3
b 3/5'3
c (3/4)2
d(3'3/5'5)
Answer:
a
Step-by-step explanation:
(3/5)^3= 27/125
So a is the correct answer
Answer:
Answer option D.
I'm assuming you meant (3/5)'3 for option A.(3/5)^3 also known as (3/5)'3 in your case.If we simplify the expression (3/5)^3 we can see that ^3 means you cube both the numerator and the denominator since 3/5 is in parenthesis.
Numerator:
3 cubed(3^3) would result in
= 9
Denominator:
5 cubed(5^3) would result in
= 125
Hence, you'll get 9/125.
So your answer is;
A, (3/5)'3helppppppppppppppppp meee
Answer:
Given
Step-by-step explanation:
As I can see, in the question the statement is already given.
If m∠2 = 80°, what is m∠4?
Answer:
80 degrees
Step-by-step explanation:
they are vertical pirs (across from each other) so they have the same measure
please help due today!! I really need this!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Nate - I can't fold my invitation at all. The parts won't match.
Hector - I can fold my invitation more than one way.
Daniel - I can fold my invitation along only a horizontal line.
Micheal - I can fold my invitation along only a vertical line.
I need help with this problem if anyone wants to help me please do
Answer:
11
Step-by-step explanation:
hope this helps loves x
30 POINTS!
Find x if ∠m1 = 2x + 10 and m∠2 = 3x - 6
Answer choices:
42, 24, 4, 16
Answer: 16
Step-by-step explanation:
so if yo have 1 hundred and 2 tens +n +1 hundred 4 tens
Answer:
260+n
Step-by-step explanation:
1hundred and 2 tens +n +1 hundred 4 tens
=120+n+140
=260+n
The probability of an event is P(A) = 0.05 What is the complement of P(A)?
Probability is the likelihood or chance that an event will occur. The complement of the probability will be 0.95
What is probability?Probability is the likelihood or chance that an event will occur. Mathematically:
Probability = expected outcome/total outcome
Given that the probability of an event is P(A) = 0.05, the complement will be expressed as:
P'(A) = 1 - P(A)
P'(A) = 1 - 0.05
P' (A) = 0.95
Hence the complement of the probability will be 0.95
Learn more on probability here: https://brainly.com/question/24756209
8. (8, 6); 5x - 5y = 10
7x - 14y = -28
Answer:
28
Step-by-step explanation:
because 28 is the last one
How many faces does a solid with 8 vertices and 12 edges have?
8
12
6
22
Answer:
6
Step-by-step explanation:
Look at the cube or find one at your house. There are 8 vertices (corners) and 12 edges.
Which is the general form of the equation of the circle shown? x2 y2 4x – 2y – 4 = 0 x2 y2 4x – 2y 2 = 0 x2 y² – 4x 2y – 4 = 0 x2 y² – 4x 2y 2 = 0
The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
How to determine the circle equation?The center of the circle is given as:
Center, (a,b) = (-4,9)
The diameter is given as:
d = 10
Calculate the radius (r)
r = 10/2 = 5
The circle equation is then calculated using:
(x - a)² + (y - b)² = r²
So, we have:
(x + 4)² + (y - 9)² = 5²
Expand
x² + 8x + 16 + y² - 18y + 81 = 25
Collect like terms
x² + y² + 8x - 18y + 16 + 81 - 25 = 0
Evaluate
x² + y² + 8x - 18y + 72 = 0
Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
Read more about circle equations at:
https://brainly.com/question/1559324
please help me solve this
will give brainlist I'm not going to waste my time in this multiple question
Answer:
What's the question?
Step-by-step explanation:
You haven't shown me a question.
Answer:
The answer is A.[tex]98\beta \pi[/tex]
Step-by-step explanation:
Take the transactions of the polynomials and apply the quadratic formula.
Evaluate.
3^2 + 12 ÷ (6 - 3) x 8
Answer:
38 is your answer :)
Step-by-step explanation:
So what you want to do is P.E.M.D.A.S (parenthesis, exponets, multiplication/division, addition/subtraction) * whatever comes first always do it in order*
3^2+12/ (6-3) x 8
6-3 = 3
3^2+12/(3)*8
3^2+4*8
6+4*8 =32 and 32+6 = 38
A candy company is marketing a special assortment of caramels. The company wants to put 20 individual caramels into a rectangular box. Each caramel is a 1-inch cube. The caramel should completely fill the box.
Which arrangement of caramels requires the least cardboard?
Answer:
five by four
Step-by-step explanation:
I took picture off it
Answer:
F
Step-by-step explanation:
the box plot is divided into quarters, the line on the end to 20 being 1/4th, the start of the box to the line in the box being another 1/4th, the middle line to the end of the box is another 1/4th, and the last line is the last 1/4th
PLEASE HELP!!!!I’LL GIVE BRAINLIEST!
find the supplementary angle to an angle
that is 128.9º. explain your answer
URGENT
Malia is solving a system of linear equations. She will multiply Equation 2 by a number so that the x terms will sum to 0 when the equations are combined. Which is Equation 2 after the multiplication?
Equation 1: 3x+2y=9
Equation 2: -x+3y=8
A) -3x+3y=8
B) -3x-9y=24
C) 3x+9y=24
D) 3x-9y=-24
Will is five years more than twice Maria's age. In five years the sum
of their ages will be sixty. How old is Will now?
Answer:
Will's Age : 35
Maria's Age : 15
Step-by-step explanation:
Will is five years more than twice Maria's age.
15 doubled is 30 plus 5 is 35.
In five years, when Will will be 40 and Maria will be 20 years, their ages will add up to 60.
The radius of a circle is 5.9 centimeters. Enter the area of the circle, in square centimeters. Round your answer to the nearest hundredth.
Answer:
the answer is 18.53.... hope this helps
Step-by-step explanation:
how you find the area of a circle is the radius times pi which pi is 3.14
PLEASE HELP ASAP
Geometry Unit 7 Homework 2
1-20
Right Triangles and Trigonometry
Special Right Triangles
Answer:
1. [tex]x=13,\,y=13\sqrt{2}[/tex]
2. [tex]x=y=\frac{30\sqrt{2}}{2}[/tex]
3. [tex]x=6,\,y=3\sqrt{3}[/tex]
4. [tex]x=17\sqrt{3},\,y=17[/tex]
5. [tex]x=y=10[/tex]
6. [tex]x=50,\,y=25[/tex]
7. [tex]x=y=2\sqrt{7}\,\,(\mathrm{because}\,\,\frac{2\sqrt{14}}{\sqrt{2}} = \frac{2\sqrt{2}\sqrt{7}}{\sqrt{2}} = 2\sqrt{7} )[/tex]
8. [tex]y = \frac{24\sqrt{3}}{3} = 8\sqrt{3},\,x = 16\sqrt{3}[/tex]
9. [tex]x = 11\sqrt{3},\,y=11\sqrt{3}\cdot\sqrt{3} = 33[/tex]
10. [tex]y = 2\sqrt{6},\,x = \sqrt{6}\cdot\sqrt{3} = 3\sqrt{2}[/tex]
11. [tex]x = \sqrt{10},\,y=\sqrt{10}*\sqrt{2} = 2\sqrt{5}[/tex]
12. [tex]x = \frac{4\sqrt{21}}{\sqrt{3}} = 4\sqrt{7},\,y=8\sqrt{7}[/tex]
13. [tex]x = 17\sqrt{3},\,z = 34,\,y =34\sqrt{2}[/tex]
14. [tex]x = 27\cdot\frac{2}{\sqrt{3}}=18\sqrt{3},\,h=9\sqrt{3},\,z=9,\,y=18[/tex]
Step-by-step explanation:
Please ask for explanation on specific numbers, as doing it all is a lot of writing. From the parially-written aswers I assume you know the rules for 90-45-45 triangles and 90-60-30 triangles, which are the only ones in the task sheet.
How do you calculate scale factor of the sides of figures
Verify that the figures are similar. Similar figures, or shapes, are ones in which the angles are congruent, and the side lengths are in proportion.
Find a corresponding side length on each figure. You may need to rotate or flip the figure so that the two shapes align and you can identify the ...
Set up a ratio. For each pair of similar figures, there are two scale factors: one you use when scaling up, and one you use when scaling down. If ...
Simplify the ratio. The simplified ratio, or fraction, will give you your scale factor. If you are scaling down, your scale factor will be a proper answer
What is the slope of the line that passes through the points (8, -6) and (-4,-6)? Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
→ Find the change in y coordinates
-6 --6 = 0
→ As the change in y is 0, the gradient is 0
Step-by-step explanation:
Here,
(8,-6)=(x1,y1)
(-4,-6)=(x2,y2)
we know, solpe of any line passing throgh (8,-6)&(-4,-6) be
slope(m)=(y2-y1)/(x2-x1)
m={-6-(-6)}/(-4-8)
m=o/-12
m=o
The function f(t)=1900(1. 4)^t
t
represents the change in a quantity over t hours. What does the constant 1. 4 reveal about the rate of change of the quantity?
Answer:
Increasing by 40%
Step-by-step explanation:
This is a exponentional function. The format for this type of function is a(b)^x. So "a" is your initial value, and "b" is the rate. Now let's think to ourselves what times what is still equal to the same thing? That is 1. But in our question, we have 1.4. So we are increasing by 0.4, or 40%.
What is the inverse of f(x)=1/3x+2?
Answer:
[tex]f^{-1}[/tex] (x) = 3(x - 2)
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = [tex]\frac{1}{3}[/tex] x + 2 ( subtract 2 from both sides )
y - 2 = [tex]\frac{1}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )
3(y - 2) = x
change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = 3(x - 2)
Answer:
3(x-2)
Step-by-step explanation:
interchange value of x and y
If sin p =3/5 and p is an acute angle, what is the value of tan p?
Answer:
sin x + cos x = 5/13 + 12/13
Step-by-step explanation:
Given that tan x = 5/12, what is the value of sin x + cos x?
draw a triangle with opposite leg=3 and hypotenuse=5
tan p = opposite/adjacent = 3/4
similarly, in a 5-12-13 right triangle
sin x + cos x = 5/13 + 12/13
express 194720 in standard form correct to 3 significant figures
Answer:
1.95 x 10^5
Step-by-step explanation:
First look at the 4th digit in the number 194720 as the the question said to round to 3 significant figures. If the 4th digit is more than 5, then add 1 to the third digit which results in 195000. Now the question also said to express in standard form. Look for the first non-digit number in 195000. After 1 put a decimal point and remove all the zeros after the point which results in 1.95. Now count how many digits you moved to the left which comes as 5. Write the answer as 1.95 x 10^5.
Hope you can understand this!!
How does understanding the history of credit make you think
differently about credit cards and other forms of debt? Please helpppp!!!
Knowing the history of credit cards makes you understand why credit cards were created and the reason they were necessary for human societies.
What is the focus of history?History teaches you about the origin of specific elements, in this case, credit cards, and their evolution over time.
Why is history important?History is about both origin and evolution; due to this:
History explains why credit cards emerged and the reason they were necessary.History shows you the way credit cards have changed or stayed the same due to different causes.Learn more about history in: https://brainly.com/question/3583505
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