What is the volume of a hemisphere with a radius of 9.7 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
1911.5 cm^3
Step-by-step explanation:
Answer:
The volume of the hemisphere is approximately 1911.5 cubic centimeters.
Step-by-step explanation:
The volume of a hemisphere ([tex]V[/tex]), in cubic centimeters, is equivalent to the half of the volume of a sphere, that is:
[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex] (1)
Where [tex]R[/tex] is the radius of the hemisphere, in centimeters.
If we know that [tex]R = 9.7\,cm[/tex], then the volume of the hemisphere is:
[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex]
[tex]V = \frac{2\pi}{3}\cdot (9.7\,cm)^{3}[/tex]
[tex]V \approx 1911.498\,cm^{3}[/tex]
The volume of the hemisphere is approximately 1911.5 cubic centimeters.
Averigua si el triángulo de los lados 29 cm, 35 cm, y 48 cm es rectángulo, acutángulo u obtusángulo. Halla la longitud de la altura sobre el lado mayor
Answer:
Los ángulos son de 36, 47 y 97 grados y la altura es de 35 cm.
Step-by-step explanation:
Usando la regla del coseno podemos encontrar las medidas de los ángulos del triángulo escaleno
Cos A = b² + c²-a² / 2bc ------ ecuación A
Cos B = a² + c²-b² / 2ac ------- ecuación B
y Cos C = b² + a²-c² / 2ab ------ ecuación C
Si tomamos a = 29, b = 35 y c = 48
Luego, poniendo los valores
Cos A = b² + c²-a² / 2bc
Cos A = (35) ² + (48) ² - (29) ² / 2 (35) (48)
Cos A = 1225 + 2304-841 / 3360
Cos A = 0,8
A = cos ⁻¹ 0.8 = 36.86 grados casi 37 grados.
similar
Cos B = a² + c²-b² / 2ac
Cos B = (29) ² + (48) ²- (35) ² / 2 (29) (48)
Cos B = 1920/2784
B = cos ⁻¹ 0.689 = 46.39 grados casi 46 grados
Y
Cos C = b² + a²-c² / 2ab
Porque C = 1225 + 841-2304 / 2 * 29 * 35
Cos C = -0,11724
C = cos ⁻¹ -0,11724
C = 96,73 = 97 grados
la altura se puede calcular usando la fórmula
h = b. sin C = c. Pecado B
h = 35 sin 97 °
h = 34,75 = 35 cm
English
Using the cosine rule we can find the measures of the angles of the scalene triangle
Cos A= b²+c²-a²/ 2bc------ equation A
Cos B = a²+c²-b²/ 2ac------- equation B
and Cos C= b²+a²-c²/ 2ab------ equation C
If we take a= 29 , b= 35 and c= 48
Then by putting the values
Cos A= b²+c²-a²/ 2bc
Cos A= (35)² + (48)² - (29)²/ 2(35) (48)
Cos A= 1225+2304-841/ 3360
Cos A= 0.8
A = cos ⁻¹ 0.8= 36.86 degrees almost 37 degrees.
Similarly
Cos B = a²+c²-b²/ 2ac
Cos B = (29)²+(48)²-(35)²/ 2(29) (48)
Cos B= 1920/2784
B=cos ⁻¹ 0.689= 46.39 degrees almost 46 degrees
And
Cos C= b²+a²-c²/ 2ab
Cos C= 1225+841-2304/2*29*35
Cos C= -0.11724
C= cos ⁻¹ -0.11724
C= 96.73= 97 degrees
the height can be calculated using the formula
h= b. sin C= c. Sin B
h= 35 sin 97°
h= 34.75= 35 cm
The angles are 36, 47 and 97 degrees and height is 35 cm
Select all situations that can be modeled with a linear function. A taxi charges an initial fee of $2.00 and $1.50 for each additional mile. Apopulation in a town decreases by 15% each year. An airplane flying at an altitude 33,000 feet descends at a rate 20 feet per minute. A pizza restaraunt charges $5.50 per pizza, and $0.50for each additional topping. A cell phone doubles in time every two years
Answer:
Taxi charges , airplane flying altitude and pizza charges are modeled with linear function.
Step-by-step explanation:
Linear function These are those function which are drawn as straight line graph with constant slope.Here
Taxi charges (y) = $2 + 1.50 ( x )
Airplane descends with the slope constant slope of 20 feet per minute.
Pizza charge ( y ) = $5.50 + 0.50 ( x )
Thus from the above equated equation we can conclude Taxi charges , airplane flying altitude and pizza charges are modeled with linear function.
Click here to know more about the Linear function.
https://brainly.com/question/4025726
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i need help with question 2!!!! please help soon this is graded and i will give u brainliest!!!
Answer:
12.
Step-by-step explanation:
Area = base * perpendicular height
= 6 * 2 = 12.
Answer:
12 square units
Step-by-step explanation:
6 x 2 = 12
The ends of the parallelogram are triangles, so you can just multiply the base times height.
PLS HELP!!
Find the length of AB.
Answer:
About 9.4 units
Step-by-step explanation:
53% of what number is 384?
i got 724.52 how do i round it to the hundredths place?
Answer:
thats right.
Step-by-step explanation:
the first place after the decimal is tenths, second, hundredths, third thousands, and so on
David drove 36 mph and reached camp in 1.5 hours. How long will it take him to drive home if he takes the same route and drives 45 mph?
Answer:
1.2 hours, or 72 minutes
Step-by-step explanation:
If David drove for 1.5 hours at 36 mph, that means that he traveled a distance of (36*1.5) = 54 miles.
If he takes the same route at a speed of 45 mph instead, he will reach his destination in (54/45) = 1.2 hours, which is equivalent to 72 minutes.
Answer:
1.2 hours
Step-by-step explanation:
to find distance for 36 mph
0.5 hour is 18 miles
so 36m+18m
= 54 miles for 1.5 hours
and to find time for 45 mph
[tex]54 \div 45 = \frac{6}{5} \\ = 1.2[/tex]
An adult gorilla will eat about 5,425 pounds of food in a 31-day month. What is the average amount a gorilla will eat every day?
Answer: 175
Step-by-step explanation: Do 5425 divided by 31
Answer:
A gorilla will eat an average of 175 pounds of food a day.
Step-by-step explanation:
The gorilla will eat 5,425 pounds a day per month. According to your 31-day month, to find the amount the gorilla will eat per day, we need to divide his monthly consumptions by 31.
5425/31 = 175.
Graph the line that represents the equation y=-2/3x + 1
Answer:
Use desmos graphic calculator
Step-by-step explanation:
3. Desde un punto del suelo se ve un pararrayos bajo un ángulo de 60°, si nos alejamos 3m, vemos el pararrayos con un ángulo de 45°. Calcule la altura del pararrayos.
Can someone please. help Ill give branliesttttt
Answer:
3rd one!
Step-by-step explanation:
I think it’s B but I am not sure sorry dude
Find two numbers that up to 158. The greater number is 40 more than the lesser number.
Answer:
A. 70 and 110
B. 99 and 59
C. 80 and 78
D. 98 and 60
E. 100 and 68
PLEASEE help I’m stuck on this
Answer:
x = √149
Step-by-step explanation:
Compartmentalize the odd figure into a rectangle (with sides 3 and 7) and a triangle (with sides 10 and x). Now, that you have a triangle, you can use the rectangle underneath to find the bottom side of the triangle--it is 7. The triangle that has been formed is a right triangle, so we can use the Pythagorean Theorem to find x, which is the hypotenuse.
10² + 7² = x²
100 + 49 = x²
149 = x²
√149 = x
Answer:
7√2
Step-by-step explanation:
Remark
Draw another line parallel to 7.
Move to the other end of 3
that makes the vertical leg on the left 10 - 3 = 7
You now have a smaller right triangle.
Equation
a = 7
b = 7
c = x
Solution
x^2 = 7^2 + 7^2
x^2 = 49 + 49
x^2 = 98
x^2 = 7 * 7 *2
sqrt(x^2) = sqrt(7 * 7 * 2)
The rule about square roots is for every pair of factors you can take one out of the square root sign and throw the other one away.
x = 7 sqrt(2)
Rual saved $80 for his new bike. This represents 40% of the entire cost of the bike. what is the total cost of Raul's new bike?
Answer:
The total cost of Raul's 32%
Can sides of a triangle have lengths of 3, 11, and 12 ??
Answer:
QUESTION:
Can sides of a triangle have lengths of 3, 11, and 12 ??
ANSWER:
Yes. It's called an equilateral triangle, and it can work because two side lengths added together are bigger than the third side.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
Factor the following expression
24g2 - 18g
Answer:
6g(4g - 3)
Step-by-step explanation:
24g² - 18g
Common factor:
6g
Factored equation:
6g(4g - 3)
Find the volume of the rectangular prism below.
Answer: 540 cm cubed
Step-by-step explanation:
Formula = L*W*H
18 * 7.5 * 4 = 72 * 7.5 = 540
How many cm are in 26 in? (1 in = 2.54 cm)
Answer:
66.04
Step-by-step explanation:
26 x 2.54 =
= 66.04
Answer:
66.04 cm
Step-by-step explanation:
All you need to do is multiply 2.54 cm twenty-six times for your answer.
2 . 5 4
2║40║10 ║0.8 ║→ 50.8
6║ 12║ 3 ║0.24║→ 15.24
50.8 + 15.24 = 66.04
Prism A has a volume of 60 cubic units and a height of 12 units. Prism B has the same base area and height but a length of 15 units for the longest edge
Answer:
As both prism have the same base area and height there volumes are the same.
Step-by-step explanation:
Volume of the prism is given by
Volume of Prism A= base area* height
60 cubic units= base area* 12
base area= 60/12= 5 units
Volume of Prism B= base area* height
= 5 units*12 units
= 60 cubic units
As both prism have the same base area and height there volumes are the same.
The length of the longer side is the length of the triangle itself.
For example the length of longer side of prism A maybe 10 units but width may be 1/2 units
and
the length of longer side of prism B maybe 15 units but width may be 1/3 units
the total base area remains the same.
Answer:60 cubic units
Step-by-step explanation:
i just want friends.. LOL but hi im from the U.S. Im friendless.. PAIN but ill tell you about me, I like math and biology. my first language is Spanish, I know American sign language. i love helping others. my favorite movie is matilda and coco:) and I like the number 8, lets be friends:)
Hi nice to meet u ! U seem like such a sweet cool person-----------------------------------------------------------i need friends too :)
Answer:
hi same im from the us and my fist language is Spanish also i hate math but like history and i like anime favorite anime is AOT favorite manga is berserk and favorite game to play is terraria
Step-by-step explanation:
Someone answer this please
Answer:
y = - 27/5
Step-by-step explanation:
4(3) - 5y = 39
12 - 5y = 39
-5y = 39 - 12 = 27
y = - 27/5
Write the equation of the line graphed at the right.
Answer:
x = -3
Step-by-step explanation:
You can see on the graph, it’s going straight vertically. The x value will always be -3 while the y value is infinite.
Answer:
x = -3
Step-by-step explanation:
From the set {7, 15, 18), which of the values can be substituted for c to make the
equation true.
90 - 2c = 60
A. 7
B. 18
C. none of these
D. 15
Answer:
D. 15
Step-by-step explanation:
90 - 30 = 60
2 • 15 = 30
the answer is 15
821% of what number is 821?
(I'll mark brainliest if you give a valid answer)
Answer:
100
Step-by-step explanation:
100×821/100= 821
so the answer is 100
PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!! (and it’s not multiplying. i already tried that)
Answer:
120cm³
Step-by-step explanation:
The volume of a rectangular prism is the length multiplied by the width and height. You may not have multiplied correctly or multiplied all of the dimensions.
So, let's multiply our dimensions, 4cm × 6cm × 5 cm.
4 · 6 · 5 = 120
4 times 6 equals 24, then 24 times 5 is 120.
The volume of the box, then, is 120cm³. Remember to use the ³ (cubed) sign for volume.
Good luck :)
Now that you’ve made the cake, it’s time to go shopping for a present. You have $30
to spend and you decide you want to buy your friend a book and an iTunes gift card.
The book you want is $15.99 regular price, but is on sale for 25% off. After you buy
the book, how much will you have left for the gift card (round up to the nearest
dollar)?
Answer:
18.0075
Step-by-step explanation:
hiii please help i’ll give brainliest:)
Answer:
A. Mountains and water divided the land.
Step-by-step explanation:
Find the distance between points.
Answer:
4 Units
Step-by-step explanation:
Here, The distance between two points is 4 units
-TheUnknownScientist
which value for s will make this equation true? s(11-s)=24
answer choices:
8
4
6
5
Ali writes the expression "half of the sum of $9$ and a number." Write an algebraic expression that is equivalent to Ali's expression. Write a second algebraic expression that is different from, but equivalent to, your first expression.
Answer:
1 ÷ 2(9 + x)
4.5 + 0.5x
Step-by-step explanation:
Given that
We write the expression i.e. half of the sum of $9 and a number
Here we need to write the two expression that is different from each other
So,
Let us assume the number be x.
Now The first equation depend on the information given will be:
= 1 ÷ 2(9 + x)
And, The second equation is
= (9 + x) ÷ 2
= 4.5 + 0.5x