Answer:
12.0
Step-by-step explanation:
The distance betwen the two points is the slope/gradient of that line.Slope/gradient = c (pythagoras theorem) : [tex]c^{2} = a^{2} + b^{2}[/tex]x = a, y = bx = 5 - (-4) = 5 + 4 = 9y = 5 - (-3) = 5 + 3 = 8[tex]c^{2} = 8^{2} + 9^{2}[/tex]
= 64 + 81
= 145
[tex]\sqrt{c^{2} } = \sqrt{145}[/tex]
Therefore,
c = 12.0 (3 s.f.)
Find the area
A. 100
B. 112
C. 224
D. 46
Answer:
a). 100
Step-by-step explanation:
Finding d₁ and d₂
d₁ = r₁ x 2 = 5 x 2 = 10d₂ = r₂ x 2 = 10 x 2 = 20Finding Area
A = 1/2 x d₁d₂A = 1/2 x 10 x 20A = 1/2 x 200A = 100AYUDAAA PORFA , se entrega a las 4 porfavorrrrrr
Find two integers whose sum is 11 and whose product is 30.
A grain silo has a cylindrical shape. Its radius is 9 ft, and its height is 41 ft. What is the volume of the silo?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
As Per Provided Information
Radius of cylindrical shape silo 9 ft
Height of cylindrical shape silo 41 ft
We have been asked to determine the volume of cylindrical silo .
[tex] \boxed{\sf \: Volume_{(Cylindrical\:Silo)} = \pi {r}^{2}h}[/tex]
Substituting the given value in above formula and we obtain
[tex] \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times {9}^{2} \times 41 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times 81 \times 41 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times 3321 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 10427.94 \: {ft}^{3} \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 10428 \: {ft}^{3}[/tex]
Answer:
Volume is 10428 cubic ft.
Step-by-step explanation:
Given :-
Radius of grain silo is 9ft and height is 41ftTo find:-
Volume of grain siloSolution:-
Volume of cylindrical grain silo :- πr²hPutting the known values ,
Volume:- 3.14 × 9² × 41 cubic ft.
Volume :- 10427.94 cubic ft.
rounding off to nearest whole number ,
Volume :- 10428 cubic ft.
The sum of two numbers is 55. Their difference is −1. Find the numbers.
Step-by-step explanation:
lets say the first is x and the second is y then we can say
x+y=55 ......1
x-y= -1 .......2
by adding 1 with 2 then
x+y+x-y=55+(-1)
==> 2x= 55-1=54
==> x= 54/2=28
if we put x=28 in the 2nd equation then
28-y= -1
==> y=29
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
AB = 13 meters
Step-by-step explanation:
AB is congruent to AC and AC is 13 meters so that's what AB would be
ok HARDEST MATH PROBLEM 2+2
Answer:
I dont know i think its 5
Step-by-step explanation:
Answer:
4 :)
Step-by-step explanation:
brayden saves 1500 at a yearly simple interest rate of 2.5. how many years doess it take for the amount he has served to be double the original
I WILL GIVE U 100 POINTS
Answer:
80 years
Step-by-step explanation:
(.025)*n = 2 solve for n
Choose which statements are true:
I. Every parallelogram is a rhombus.
II. Every rhombus is a parallelogram.
III. Every quadrilateral has 4 sides.
Answer:
II. Every rhombus is a parallelogram.
III. Every quadrilateral has 4 sides.
Step-by-step explanation:
Not all parallelograms are rhombuses because a rhombus needs to have equal sides, but a parallelogram does not.
The definition of a rhombus is "a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides" so all rhombuses are parallelograms.
The definition of a quadrilateral is having four sides, so all quadrilaterals will have four sides.
Natasha cut a round pizza into 8 equal slices .What is the angle measure of each slice?Write and solve an equation.
What is the equation of the line?
O y = 3x
O Y= 1/3x
O y=1/3x+2
O y = 3x+2
Identify the vertex of this quadratic function
Answer:
Step-by-step explanation:Well first figure out the a b and c for ax^2+bx+c the apply by substituting using the quadratic formula.Then you should get youre answer.
Answer:
Your answer is -2,-3
Step-by-step explanation:
express secA in terms of tanA
Answer:
[tex] { \sec} A = \sqrt{1 + { \tan}^{2} A } [/tex]
Step-by-step explanation:
[tex] { \sec}^{2} A = 1 + { \tan}^{2} A \\ \\ \implies \: { \sec} A = \sqrt{1 + { \tan}^{2} A } [/tex]
What are the zeros of the function below?
F(x) = 8x(x-6)/(x+2)(x+9)
Answer:
x = 0, 6
Step-by-step explanation:
8x(x-6) = 0
x = 0, 6
3. At the school dance the ratio of
students who bought snacks to the
students who did not buy snacks is 4 to 6.
Based on this ratio, how many of these
students would buy a snack if there were
a total of 180 students that attended the
dance?
Answer:
120 students did not buys a snack :)
Step-by-step explanation:
The easiest way to do this is divide :)
Now lets solve!!
180/6 = 30
Now we multiply!!
30 x 4 = 120
Have an amazing day!!
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Which fraction is equal to 0.3?
Moving with a speed of v km/hour, a steam boat travels the distance between the
points A and B, which is 200 km, in t hours.
Find the formula which describes t as a function of v.
Answer:
t = 200/v
Step-by-step explanation:
The relationship between speed, distance, and time is ...
d = vt
Solving for t gives ...
t = d/v
For a distance of d=200 km, the time in hours will be ...
t = 200/v . . . . . . where v has units of km/hour
4. A pet store has 11 lizards, with these lengths in inches:
5 1/2, 5 3/4, 5 3/4, 5 7/8, 5 7/8, 6, 6 1/8, 6 1/8, 6 1/8, 6 1/4, 6 3/8
Draw a line plot for this data
Answer/Step-by-step explanation:
Before we draw a line plot for this data we first need to put then from least to greatest. As well as how many number are each.
Given the following data:
5 1/2
5 3/4
5 3/4
5 7/8
5 7/8
6
6 1/8
6 1/8
6 1/8
6 1/4
6 3/8
We can see that we have:
5 1/2 {1}
5 3/4 {2}
5 7/8 {2}
6 {1}
6 1/8{3}
6 1/4 {1}
6 3/8 {1}
Now put the following from least to greatest:
5 1/2 {1}
5 3/4 {2}
5 7/8 {2}
6 {1}
6 1/8{3}
6 1/4 {1}
6 3/8{1}
We can see that they already in order thus, let put it on a line plot from least to greatest.
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The radius of a circle is 5 meters. What is the length of a 180° arc?
Answer:
10 meters
Step-by-step explanation:
180° arc makes semi circle then it's diameter equal to its arc .
Use the quadratic formula to solve for x.
3x2 + 2x - 6 = 0
Answer:
x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))
Step-by-step explanation:
Solve for x over the real numbers:
3 x^2 + 2 x - 6 = 0
Using the quadratic formula, solve for x.
x = (-2 ± sqrt(2^2 - 4×3 (-6)))/(2×3) = (-2 ± sqrt(4 + 72))/6 = (-2 ± sqrt(76))/6:
x = (-2 + sqrt(76))/6 or x = (-2 - sqrt(76))/6
Simplify radicals.
sqrt(76) = sqrt(4×19) = sqrt(2^2×19) = 2sqrt(19):
x = (2 sqrt(19) - 2)/6 or x = (-2 sqrt(19) - 2)/6
Factor the greatest common divisor (gcd) of -2, 2 sqrt(19) and 6 from -2 + 2 sqrt(19).
Factor 2 from -2 + 2 sqrt(19) giving 2 (sqrt(19) - 1):
x = 1/6(2 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6
In (2 (sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.
(2 (sqrt(19) - 1))/6 = (2 (sqrt(19) - 1))/(2×3) = (sqrt(19) - 1)/3:
x = (1/3 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6
Factor the greatest common divisor (gcd) of -2, -2 sqrt(19) and 6 from -2 - 2 sqrt(19).
Factor 2 from -2 - 2 sqrt(19) giving 2 (-sqrt(19) - 1):
x = 1/3 (sqrt(19) - 1) or x = 1/6(2 (-1 - sqrt(19)))
In (2 (-sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.
(2 (-sqrt(19) - 1))/6 = (2 (-sqrt(19) - 1))/(2×3) = (-sqrt(19) - 1)/3:
Answer: x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))
Roger ran eight laps around a 1/4 mile track during PE on Monday. How many feet did roger run in completing eight laps? (Remember there are 5280 feet in a mile)
Answer:
10,560
Step-by-step explanation:
8 x 1/4 --> 8/1 x 1/4
= 8/4 or 2
5,280 x 2 = 10,560
|x+3/4|= 5 6/7 please help with this question from 6.2 russian mathemetics school
Answer:
143/28 or -185/28
Step-by-step explanation:
Negative case
-(x+3/4))=(41/7)
-x-(3/4)=(41/7)
-x=(185/28)
x=-(185/28)
Positive case
(x+(3/4))=(41/7)
x=(143/28)
lol this was easy r u sure its 6 grade?
Answer:
143/28 or -185/28
Suppose GDP is $12 trillion, taxes are $3.6 trillion, private saving is $1.5 trillion, and public saving is $0.8 trillion. Assuming the economy is closed, complete the following table by calculating consumption, government purchases, national saving, and investment. Component Amount (Trillions of dollars) Consumption Government Purchases National Saving Investment
Assuming this economy is closed: Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.
Gross domestic producta. Consumption
Private S = ( Y – T – C )
C = Y - T - Private S
C = $12 - $3.6 - $1.5 =$6.9 trillion
b. Government purchases
Public S = ( T - G )
G = T - Public S
G = $12 - $0.8
G = $11.2 trillion
c and d. National saving and investment
National savings = Public S + Private S
National savings = $0.8 + $1.5
National savings =$2.3 trillion
Investment=Savings=$2.3 trillion
Therefore, Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.
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Rectangle ABCD is plotted on a coordinate plane. The coordinates of A are (2, 3) and the coordinates of B are (– 2, 3). Each unit on the coordinate plane represents 3 centimeters, and the perimeter of Rectangle ABCD is 48 centimeters. Find the coordinates of Points C and D given these conditions:aPoints C and D are below Points A and B.bPoints C and D are above Points A and B.7Rectangle PQRS is plotted on a coordinate plane.
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Drag each expression to show whether it is equivalent to 36x + 9 or 9(4x – 1).
Equivalent expressions of 36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 36x+9
Thirty six times of x plus nine.
In the expression x is the variable and plus is the operator.
Equivalent expressions are expressions that work the same even though they look different.
The equivalent expression of 36x+9 are 9(4x+1)
and 9.4x +(9.1) we get this factoring the expression.
Now the other expression is 36x-9
Thirty six times of x minus nine.
Minus is the operator in the expression.
The equivalent expressions are 9(4x-1) and 9.4x-(9.1)
Hence, equivalent expressions of 36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1)
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Paul invests £500 at a rate of 1.5% per year compound interest.
Find the value of the investment after 3 years.
Give your answer correct to the nearest penny.
Tthe value of Paul's investment after 3 years would be equal to 52,285 penny.
How to calculate compound interest?Mathematically, compound interest is calculated by using this formula:
[tex]A=P(1+r )^{t}[/tex]
Where:
A is the future value.P is the principal.R is the interest rate.T is the time measured in years.Given the following data:
Principal = £500.
Time = 3 years
Interest rate = 1.5% = 0.015.
Substituting the given parameters into the formula, we have;
A = 500(1 + 0.015)³
A = 500(1.015)³
A = 500 × 1.0457
A = £522.85.
Conversion:
100 penny = 1 pounds.
X penny = 522.85 pounds.
Cross-multiplying, we have:
X = 522.85 × 100
X = 52,285 penny.
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if a man is 6"2 in height and shrinks 3 inches how tall is he now?
Answer:
5"11
Step-by-step explanation:
6 foot 2 inches minus 3 inches is 5 foot 3 inches
Answer:
5'11
Step-by-step explanation:
M6003
Which expression shows 48 +66 rewritten as the greatest common factor multiplied by the sum of two
1.
numbers?
OA. 3(16 +22)
OB. 3(45 + 63)
O C. 6(8 + 11)
O D. 6(42 + 60)
The expression is rewritten as the greatest common factor multiplied by the sum of two numbers is: 6*(8 + 11)
How to rewrite the expression?
First, we need to find the greatest common factor between 48 and 66.
To find it, we can write both of these as a product of its prime factors, we get:
48 = 2*24 = 2*2*12 = 2*2*2*6 = 2*2*2*2*3
66 = 2*33 = 2*3*11
The greatest common factor that we can make is 2*3 = 6
Then we rewrite the numbers as:
48 = 6*8
66 = 6*11
Now we can rewrite our expression:
48 + 66 = 6*(8 + 11)
So the correct option is C
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A sales representative is paid a commission of N5 on every N100 sale he makes. If his commission for the week is N10,000.00, how much sales has he made
Question 1
What is the coefficient of the variable in the expression 4 − 3x − 7 + 6?
−7
−3
4
6
Question 2
How many variable terms are in the expression 3x3y + 5x2 + y + 9? (Input a numeric value only.)
Numerical Answers Expected!
Answer for Blank 1:
Question 3
)
Which of the following best describes the expression 7x + 2y?
The sum of two products; there are two terms
The product of two sums; there are two terms
The sum of two products; there are four terms
The product of two sums; there are four terms
Question 4
What is the constant term in the expression 6x3y + 8x2 + 5x + 7? (Input a numeric value only.)
Numerical Answers Expected!
Answer for Blank 1:
Question 5
Which of the following best describes the expression 6(y + 3)?
The product of two constant factors six and three plus a variable
The sum of two constant factors six and three plus a variable
The product of a constant factor of six and a factor with the sum of two terms
The sum of a constant factor of three and a factor with the product of two terms
Question 6
Which expression shows a sum of four terms?
4 + x + 4 + x
x4
4(x + 4)
4x
Answer:
for 1 is -3
Step-by-step explanation: