Answer:
The height of water in the cylindrical vase is 6.2 cm.
Step-by-step explanation:
Volume of water in the measuring jug = 310 [tex]cm^{3}[/tex].
The radius of the cylindrical vase = 4 cm
volume of cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
But,
volume of water in the jug = volume of water in the vase = 310 [tex]cm^{3}[/tex]
So that,
310 = [tex]\frac{22}{7}[/tex] x [tex](4)^{2}[/tex] x h
= [tex]\frac{22}{7}[/tex] x 16 x h
310 x 7 = 22 x 16 h
2170 = 352h
h = [tex]\frac{2170}{352}[/tex]
= 6.163
h = 6.2 cm
The height of water in the cylindrical vase is 6.2 cm.
The height of water of the jug in cm is; 6.2 cm
We are told that the jug was filled with 310 cm of water. This amount is the volume(V)We are given radius(r) = 4cm
Now, a jug is usually a cylindrical shape and the formula for volume is;V = πr²h
Thus;
310 = π × 4² × h
h = 310/(16π)
h = 6.167 cm
Approximating, we have; h = 6.2 cm
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plz, help me with this question?
divide both sides by 7 to get x alone
84/7 = 12
B.12
Answer:
b
Step-by-step explanation:
A speck of dust 8.2 x 10^ -7 m wide. Which of the following is the best way to rewrite this quantity, using more appropriate units A. 8.2 x 10^ -10 km B.8.2 x 10^ -7 m C. 8.2 x 10^ -5 cm D. 8.2 x 10^ -4 mm
Answer:
Step-by-step explanation:
It's d credit to the person who said it
The best way to rewrite the quantity 8.2 x 10^ -7 m, using more appropriate units is D.) 8.2 x 10⁻⁴ kilometer
What is conversion?The process of changing the value of one form to another is called conversion. It doesn't affects the value, it simply converts one form to another.
Now it is given that,
Width of a speck of dust = 8.2 x 10⁻⁷ m
Since, 1 kilometer = 1000 meters = 10³ meters
Therefore, 8.2 x 10⁻⁷ m = 8.2 x 10⁻⁷ x 10³ kilometer
⇒ 8.2 x 10⁻⁷ m = 8.2 x 10⁻⁷⁺³ kilometer
⇒ 8.2 x 10⁻⁷ m = 8.2 x 10⁻⁴ kilometer
Thus, the best way to rewrite the quantity 8.2 x 10^ -7 m, using more appropriate units is D.) 8.2 x 10⁻⁴ kilometer
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what is 52cm as a fraction of 90cm? (as a simplified fraction)
and what is 30L as a fraction of 110L? (as a simplified fraction)
!plis help me quick bc i got 20 minutes left to hand it in to my teacher!
Answer:
[tex]\frac{26}{45}[/tex] and [tex]\frac{3}{11}[/tex]
Step-by-step explanation:
(a)
Expressing as a fraction
[tex]\frac{52}{90}[/tex] ( divide numerator/ denominator by 2 )
= [tex]\frac{26}{45}[/tex] ← in simplest form
(b)
Expressing as a fraction
[tex]\frac{30}{110}[/tex] ( divide numerator/ denominator by 10 )
= [tex]\frac{3}{11}[/tex] ← in simplest form
A skateboard park charges a $5 admission fee plus $2 for every hour spent at the park with a three-hour maximum stay. What are the input values of this problem situation?
Answer:
11 dollars
Step-by-step explanation:
If you do 1 person going into the park it starts with 5 dollars then you add 2$ to ever hour with a 3 hour limit so at the limit the amount paid would be 11 dollars if there was one person there for 3 hours
Helen has $30 in a savings account that earns 10% interest, compounded annually.
To the nearest cent, how much will she have in 2 years?
Answer:
100+10= 110
110/100= 1.1
30 X 1.1^2= 36.3
$36.30
If the perimeter of a triangle is 45 meters and two of the sides have lengths 17 meters and 19
meters, determine if the triangle is isosceles or not.
Answer:
Not isosceles
Step-by-step explanation:
45 - (17 + 19) = 9
9 is the side length which is not equal to either of the other sides so the triangle is scalene.
What is the sum of -19 and — 76?
Answer:
-95
Step-by-step explanation:
The solution is -95
The value of the equation A = -16 + ( -76 ) is A = -95
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = the sum of -19 and -76
On simplifying the expression , we get
A = ( -19 ) + ( -76 )
On simplifying the equation , we get
A = -19 - 76
The value of A = -95
Therefore , the value of A is -95
Hence , the solution of sum of -19 and -76 is -95
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Charise's expenses for the month of July are outlined below. Car insurance: $120.54 Cell phone bill: $55.99 Groceries: $65.00 Her monthly income is $1,050.00. What percentage of her income are expenses?
Answer: so the total of her percentage will be $28.21
Step-by-step explanation:you have to go like
120.54%
55.99
65.00
1,050,00
and you will find your answer.
A circle with center B and radius 1cm has three distinct points, F, D and E, on its circumference so that BF and BE and D is on the minor arc FE. Point A is on BF so that DA and BF. The point C is on BE so that ABCD is a rectangle and the distance from C to E is 1cm. Determine the distance from A to F.
Answer:
8 cm
Step-by-step explanation:
A circle with center B and radius 13 cm has three distinct points, F, D and E, on its circumference so that BF and BE and D is on the minor arc FE. Point A is on BF so that DA is perpendicular to BF. The point C is on BE so that ABCD is a rectangle and the distance from C to E is 1cm. Determine the distance from A to F.
Solution:
Since the radius of the circle is 13 cm, hence:
BF = BD = BE = 13 cm.
For line segment BE; BE = BC + CE
BE = BC + CE
13 = BC + 1
BC = 13 - 1
BC = 12 cm
AD = BC = 12 cm (opposite sides of a rectangle are equal to each other)
Triangle ABD, is a right angled triangle because ∠B = 90°. We can use Pythagoras theorem to find AB:
BD² = AB² + AD²
13² = AB² + 12²
169 = AB² + 144
AB² = 169 - 144
AB² = 25
AB = √25 = 5
For line segment BF, we can use the line segment addition postulate to find the distance from A to F. Let x be the distance from A to F:
BF = AB + x
x = BF - AB
x = 13 - 5
x = 8 cm
simplify the ratio 84: 36: 108: 60
Answer:
A) 7 : 3
B) 7 : 4
Step-by-step explanation:
84 : 36
Simplified:
42 : 18 ( divided by 2)
21 : 9 ( divided by 2)
7 : 3 ( divided by 3)
7 : 3
108 : 60
35 : 20 ( divided by 3)
7 : 4 ( divided by 5)
7 : 4
pleaseeee help asap If f(x) = 7(x – 1) + 8, what is the value of f(5)
Step-by-step explanation:
we have to keep 5 rather than x
the answer is 36
Average height of a species of tree (in feet) after a certain number of years Years 1 2 3 4 5 6 7 8 Height 2.1 3.2 6.8 7.3 11.2 12.6 13.4 15.9 What is the correlation coefficient for the set of data
Answer:
0.989
Step-by-step explanation:
i believe so at least
The wholesale cost for a purse in a department store is $12.50. The store plans to mark up the purse by 140%. What will be the selling price of
the purse to the nearest cent?
Give me the right anwser
Answer:
$30.00
Step-by-step explanation:
Percentage Markup formula =
Selling price - Cost price/Cost price × 100
From the question:
Cost price = $12.50
Selling price = unknown = x
Percentage Markup = 140%
140% = x - $12.50/$12.50 × 100
140/100 = x - $12.50/$12.50
1.4 = x - $12.50/$12.50
Cross Multiply
1.4($12.50) = x - 312.50
$17.50 = x - $12.50
x = $17.50 + $12.50
x = $30.00
Therefore, the selling price of the purse is $30.00
At the beginning of the year, Ms. Carter had 45 post it notes on her desk. Ms. Carter now has 60% more than the post its she started with, how many post its are on her desk now?
Write down the first five terms of the sequence which has the n th term
Answer:
2
A) 12
B) 18
C) 20
D) 11
E) 25
F) 33
Step-by-step explanation:
because the next of the 10 is 12
can someone help me solve i will give 20 points
Answer:
l = 15 ft
w = 6 ft
A = 90 sq ft
Step-by-step explanation:
since the width is 2" then it is 6' per given info
the length can be found by using this proportion: 2"/6' = 5"/l
2l = 30
l = 15'
A = 15 x 6 = 90 sq ft
Solution:
Area of rectangle ( terrace ) = Length × width
= ( 5 × 2 ) in.²
= 10 in.²
The integer to represent a gain of 9 pounds would be ______.
Answer: -9
Step-by-step explanation:
Write an equation of the line that passes through the points (-3,-9) and (5.-9).
y =
Geometry
Find the degree for each angle in the triangle
Answer:
acute
Step-by-step explanation:
If 850 students go to the school, about how many students prefer burgers?
Answer:
340 students prefer burgers.
Step-by-step explanation:
144 is 40% of 360.
Multiply 850 by 40% to find how many students prefer burgers.
850 x 0.4 = 340
What is the circumference of the circle with a diameter of 10 inches using ≈ . ?
Answer: 31.4
Step-by-step explanation:
C=πd
C=π×10
C=10π
C=31.4
9 + 12 = 12 + 9
a.
Commutative Property of Multiplication
b.
Commutative Property of Addition
c.
Associative Property of Multiplication
d.
Associative Property of Addition
Answer:
it has to be d
Step-by-step explanation:
yes
6. If AABC ~ ADEF, find the value of x.
Answer:
ED=22.4
Step-by-step explanation:
AB/FE=BC/ED
25/28=20/ED (x=ED)
ED=22.4
What is 4/3 (2x-1) = -12
Answer ASAP please and the first numbers are supposed to be a fraction (4/3)
Answer:
x=-4
Step-by-step explanation:
45/27=x/3 solve for x pls help
Answer:
x = 5
Step-by-step explanation:
hope this helps!!
Answer:
x=5
Step-by-step explanation:
5/3=45/27
What is the number pattern of these numbers? 40, 43, 39, 42, 38, 41, 37
And, what are the next three numbers?
Answer: Add 3 and the Subtract 4. Next numbers are 40, 36, 39
Step-by-step explanation: Hope this helps :)
Factor the expression: 3x + 6*
Please help
Answer:
3(x+2)
Step-by-step explanation:
Answer:
3 (x + 2)
Step-by-step explanation:
3
+
6
3
(
+
2
)
did I follow the instructions on how it told me to answer this question
Answer:
did I follow the instructions on how it told me to answer this question
Step-by-step explanation:
No? wouldn't it be $10.50???
The first step in attempting to factor the expression x2−7x+10 is to write out all of the factor pairs. Which of the following is the complete list of factor pairs for the constant term in this expression?
1 and 10, 2 and 5, −1 and −10, −2 and −5
1 and 9, 2 and 8, 3 and 7, 4 and 6, 5 and 5
−1 and 7, 1 and −7
1 and 10, 2 and 5
Answer:
1 and 10, 2 and 5,-1 and -10,-2 and -5
Step-by-step explanation:
i jus took the check
The complete list of factor pairs for the constant term in this expression are
1 and 10, 2 and 5, −1 and −10, −2 and −5
The standard form of a quadratic equation is expressed as;
ax²+bx+c = 0
Given the quadratic equation x²−7x+10
To factor this expression, we need to get two values if when multiplied will give 10 (product of the coefficient of x²and the constant term) and the sum will give -7(coefficient of x).
The two values are:
-2 and -5
-2 * -5 = +10-2-5 = -72 and 5
2 * 5 = 102 + 5 = 71 and 10
1 * 10 = 0-1 and -10
-1 * -10 = 10Learn more here: https://brainly.com/question/22852340
David is preparing for a dance competition. He needs to practice for 14 hours in 5 days. Which of the following statements show that David is practicing according to the required rate?
A.
55 hours in 10 days
B.
67 hours in 12 days
C.
28 hours in 10 days
D.
22 hours in 15 days
Answer:
B is your answer
Step-by-step explanation:
Answer:
it's answer is C
hope it helps you