Answer:
( -2.5 , 1 )
Step-by-step explanation:
(-2.5 ,1 ) hope this helps u
The solid contains a cylinder and a hemisphere. Find the volume of the composite solid. 4.4m radius and 5m height
Answer:
303.95 m^3
Step-by-step explanation:
Volume = πr2h
r= 4.4
h = 5
= 3.14 × 4.4^2 × 5
= 3.14 × 19.36 × 5
= 303.95
Hence the volume is 303.95 m^3
Question :-
The solid contains a cylinder and a hemisphere. Find the volume of the composite solid that has a radius of 4.4 m and a height of 5 m.Answer :-
The volume of the composite solid is 303.952 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4.4 \: m}}\put(9,17.5){\sf{5 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 4.4 meters. The height of a cylinder is 5 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(4.4 \: m)^2(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(19.36 \:m^2)(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (60.7904 \:m^2)(5 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 303.952 \: m^3}[/tex]
Therefore :-
The volume of the composite solid is 303.952 m³.[tex]\\[/tex]
Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979
Have a great day! <33
Question 11
A rectangle with a perimeter of 12 inches is enlarged by a scale factor of 3. What is the perimeter of the enlarged
rectangle?
Answer:
The perimeter of the enlarged rectangle is 36 inches.
Step-by-step explanation:
Perimeter of an enlarged figure:
To find the perimeter of an enlarged figure, we multiply the perimeter of the original figure by the scale factor.
In this question:
Perimeter of the original rectangle: 12 inches
Scale factor: 3
Perimeter of the enlarged rectange:
12*3 = 36 inches
11). Miguel has $87,255 in a savings account that earns 9% interest per year in simple interest. To the nearest cent, how much will he have in 4 years? OA). $31,411.80 O B). $123,167.55 O C). $35,912.55 OD). $118,666.80
Answer:
[tex]A). \: \$31,411.80[/tex]
Step-by-step explanation:
[tex]s.i = \frac{p \times r \times t }{100} \\ \\ s.i = \frac{87255 \times 9 \times 4}{100} = 31,411.8[/tex]
Answer:A
Step-by-step explanation:
Which is an irrational number Square root of 21 3 5/8 2.4141414 or -13
Answer:
i dont know
Step-by-step explanation:
Find the distance between (-5,6)and (3,2).
Answer:
[tex]\displaystyle d = 4\sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, 6) → x₁ = -5, y₁ = 6
Point (3, 2) → x₂ = 3, y₂ = 2
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formulas]: [tex]\displaystyle d = \sqrt{(3+5)^2+(2-6)^2}[/tex][Distance] [√Radical] (Parenthesis) Add/Subtract: [tex]\displaystyle d = \sqrt{(8)^2+(-4)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{64+16}[/tex][Distance] [√Radical] Add: [tex]\displaystyle d = \sqrt{80}[/tex][Distance] [√Radical] Simplify: [tex]\displaystyle d = 4\sqrt{5}[/tex]you have one sheet of 18 stickers. If you put an equal amount of stickers on 3 sheets of paper, how many stickers will be on each page?
Answer
there will be 6 on all three pages
Step-by-step explanation:
divide 18 by 3
A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the radius of the bubbles is about 0.3 mm. According to the formula below, what would be the volume of one of these bubbles? r = root(3, (3V)/(4s))
Question 11
Rhonda deposits $5,600 in a savings account that pays 1.36% Interest, compounded semiannually. What is the balance after the first 9 months?
Answer:
follow me please and give thanks
1. The nominal rate on Sandra's loan is 7.125%. If the interest is compounded monthly, what rate of
interest is Sandra actually paying? (use the formula)
Answer:
She is actually paying a rate of 7.36% of interest.
Step-by-step explanation:
The real interest rate, as a decimal, is given by:
[tex]I = (1 + \frac{r}{n})^{n}[/tex]
In which r is the interest rate and n is the number of compoundings during an year.
The nominal rate on Sandra's loan is 7.125%, compounded monthly:
This means that [tex]r = 0.07125, n = 12[/tex]
So
[tex]I = (1 + \frac{0.07125}{12})^{12} = 1.0736[/tex]
As a percentage: 1.0736*100 = 107.36% - 100% = 7.36%
She is actually paying a rate of 7.36% of interest.
Find the length of the third side. If necessary, write in simplest radical form.
3
2
Answer:
4.2 ft
Step-by-step explanation:
Reference angle = 77°
Opposite side = DE = x
Hypotenuse = CD = 4.3 ft
Apply the trigonometric function of sine. Thus:
Sin 77 = opp/hyp
Sin 77 = x/4.3
Multiply both sides by 4.3
4.3 × sin 77 = x
x = 4.2 ft (nearest tenth)
i have to do a number graph using fractions I dont know how
Answer:
What kind of graph?
Is 13:15 and 30:26 a pair of equivalent ratios and why?
Given:
The two ratios are 13:15 and 30:26.
To find:
Whether the given ratios are equivalent or not.
Solution:
Two ratios are equivalent if the values of the ratio are equal after simplification.
[tex]13:15=\dfrac{13}{15}[/tex]
And,
[tex]30:26=\dfrac{30}{26}[/tex]
[tex]30:26=\dfrac{15}{13}[/tex]
[tex]30:26=15:13[/tex]
The first ratio is 13:15 and the value of second ratio after simplification is 15:13 both ratios are different, so,
[tex]\dfrac{13}{15}\neq \dfrac{30}{26}[/tex]
Therefore, the required answer is "No", the given ratios are not a pair of equivalent ratios.
when a two digit number is multiplied by its unit digits, the product is 336. When the digits are reversed and the new number is multiplied by its new unit digits, the product is 325.If the sum of the digits is 11, find the original two digit number
9514 1404 393
Answer:
56
Step-by-step explanation:
In the base-10 number system, the only two digits that have themselves as the least significant digit of their square are 5 and 6.* If multiplying a 2-digit number by the ones digit gives a ones-digit of 6, then the ones digit must be 6.
Similarly, if the ones digit of the product is 5, the ones digit of the number must be 5.
So, the ones digit of the original number is 6, and the ones digit of the reversed 2-digit number is 5. The original number is 56.
__
Check
56 × 6 = 336
65 × 5 = 325
5 + 6 = 11
_____
* Additional comment
These digits are called "automorphs." Automorphs ending in 5 or 6 can be extended to any number of digits. For example, the 3-digit automorph ending in 6 is 376. 376² = 141376. Similarly, the 3-digit automorph ending in 5 is 625. 625² = 390625
1. (-78) + (-98) =
2. (+45) + (+23) =
3. (+67) + (-56) =
4. (98) + (-73) =
5. (-971) + (+237) =
Answer:
1.-179
2.68
3. 11
4. 25
5. -734
Reasoning : The equation below describes a proportional relationship between x and y. What is the
constant of proportionality? Use pencil and paper. Explain why your answer is called the "constant of
proportionality."
y = 7.87x
Answer:
The constant of proportionality is 7.87.
Step-by-step explanation:
The relation between x and y is given by the equation :
y = 7.87x
y is directly proportional to x i.e.
y ∝ x
To remove the constant of proportionality, a constant 7.87 is inserted. Hence, the constant of proportionality is 7.87.
5у2 2is a power + бу - 4
Answer:
Its 5000
Step-by-step explanation 4883-3455=5000
Which investment would make you the most interest? Explain.
A: $450 at 7% for 10 years
B: $1,300 at 5% for 6 years
help me pls i need help
Answer:
B
Step-by-step explanation:
:-)
Answer:
B
Step-by-step explanation:
This problem is to compare the value of the two numbers. Obviously, 0.21>0.012
Marla mixed cream and milk in a ratio of
2 parts cream to 3 parts milk. How many
liters of each did she use if she made 20 liters
Answer:
If it says she made 20 liters of cream then She has 30 liters of milk
Step-by-step explanation:
2 cream x 10 = 20
3 milk x 10 = 30
Hope this helps!
Plz make me Brainliest.
Elmer is purchasing 2 4/5 pounds of candy that cost $1.85 per pound.
If he pays with $10, how much will he get in change? HELP I WILL MARK BRAINIEST
Answer:
hi
Step-by-step explanation:
Daniel bought 1 pound of jelly beans and 2 pounds of chocolates for $2.00. ... for $1.50. How much would he have to pay on his next trip to the candy store if he bought 1 pound of each of the 4 kinds ... How many are there? Assign ... Multiply each equation by a factor, so that all equations will have the same total price: 3(1j +.
A state began an effort to increase the deer population. In year 2 of the effort, the deer population in a state forest was 3,000. In year 4, the population was 4,320.
The explicit rule for the geometric sequence is aₙ =
Step-by-step explanation:
i guess math is the hardest subject
Answer:
The answer is aₙ = 2,500 (6/5)^n-1
Hope i helped, have a wonderful day! :D
In JKL, J = 7.9 inches, K = 2 inches and L =9.8 inches. Find the measure of K to the nearest degree
Answer:
4
Step-by-step explanation:
Delta math
The measure of K to the nearest degree is 4°.
What is the laws of cosines?The law of cosines, commonly referred to as the cosine rule or the cosine formula, in trigonometry essentially connects the length of the triangle to the cosines of one of its angles. It claims that we can determine the length of the third side of a triangle if we know the length of the first two sides and the angle between them.
Given ΔJKL,
j = 7.9 inches, k = 2 inches, l = 9.8 inches
to find the measure of angle K,
we can calculate the angle by cosine law,
cosK = (j² + l² - k²)/(2.j.l)
cosK = (7.9² + 9.8² - 2²)/(2*7.9*9.8)
cosK = 154.45/154.81
K = cos⁻¹(0.99748)
K = 4.067⁰ ≈ 4°
Hence angle K is 4°.
Learn more about the laws of cosines;
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Alicia bought a package of eight peaches for $3.20. Find the cost of each peach.
Answer:
.40 cents each.
Step-by-step explanation:
$3.20/8=.40
PLZZZZZZZZ help me not desperate but gotta get done by today its asking this- Brian tossed a paper cup a total of 25 times and record the data below on how the cup landed.
Position of cup Open side up Closed side up Landing on side
Number of times landed in the position 3 7 15
Find the experiment probability for the following
a. Open side up:
b. Closed side up:
c. Landing on its side:
Please help me with this question
Answer:
An equation is y=-3x+7 (I chose slope-intercept form because they already showed us the slope). When y =13 x=-2
Step-by-step explanation:
plugin 13 for y and subtract 7 from both sides, this lets you get 6=-3x then divide 6 by -3 which makes x=-2
Quadrilateral WXYZ is dilated by a scale factor of į to form quadrilateral W'X'Y'Z'. What is the measure of side ZW? Z 28 Y" 42 42 W 28
Answer:
See Explanation
Step-by-step explanation:
Given
The given side lengths are not clear enough:
So, I will give a general explanation.
From the question, we understand WXYZ is dilated to produce W'X'Y'Z
This implies that the sides of WYZY is multiplied by the scale factor (k) to give W'X'Y'Z'
i.e.
[tex]ZW *k =Z'W'[/tex]
Divide both sides by k to get side length ZW
[tex]ZW = \frac{Z'W'}{k}[/tex]
Assume that:
[tex]k = 4[/tex] and
[tex]Z'W' = 28[/tex]
[tex]ZW = \frac{Z'W'}{k}[/tex]
[tex]ZW = \frac{28}{4}[/tex]
[tex]ZW = 7[/tex]
Apply these steps and you will get your answer
Write and equivalent expression for the following expression: ab
Answer:
ab = a(b)
Step-by-step explanation:
cuz u can just add parentheses
can you help me solve this plz?
Answer:
x=5.6 y=4.8
Step-by-step explanation:
PLZ HELP
x-5(x-1) = x- (2x-3)
Answer:
Step-by-step explanation:
x-5(x-1) = x- (2x-3)
x + x *(-5) + (-1) * (-5) = x + 2x*(-1) + (-3)*(-1) {use distributive property}
x - 5x + 5 = x - 2x +3 {Combine like terms}
-4x + 5 = - x +3 {Add 'x' to both sides}
-4x + 5 + x = -x + x + 3
-3x + 5 = 3 {subtract 5 from both sides}
-3x = 3 - 5
-3x = -2 {Divide both sides by (-3)}
x = -2/-3
x = 2/3
what is 10 2/3 in inproper numbers
Answer:
[tex]\frac{32}{3}[/tex]
Step-by-step explanation:
you simply multiply the bottom number times the whole number:
10*3 =30
then add the top number:
30+2=32
and finally, you put the 32/3