Answer:
I think 1/12
Step-by-step explanation:
since the question didn't specifically the possibility of a certain number shown.
note this applies to probability related questions
explain how the diagram can help find the area of a circle
Answer:
Step-by-step explanation:
This is a really famous diagram! The circle has been divided into many wedges (think slices of pizza!). The wedges have been colored alternately blue and yellow, then the wedges were rearranged to form a "rectangle" -- well, it's approximately a rectangle because the wedges have arcs (pieces of a circle) on them. See how the bottom and top edges of the rectangle look bumpy?
The area of the "rectangle" is approximately [tex]\pi r^2[/tex] . The reason is that the height of the rectangle is r , the radius of the circle. And the length of the rectangle is about [tex]\pi r[/tex] -- half the circumference of the circle. It's half because the circumference is in the bumpy parts of the wedges--half blue, half yellow.
The approximation improves as the number of wedges increases. In fact, as the number of slices (sorry, pizza again) gets larger, the length of the rectangle gets closer and closer to half the circumference. In other words, making more wedges makes the rectangle less bumpy!
Sand will be placed under the base of a circular pool with a diameter of 20 feet. 1 bag of sand covers about 6 square feet. How many bags of sand are needed? Use 3.14 for pi. Round bags up.
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Answer:
53
Step-by-step explanation:
The area of the pool is ...
A = πr²
A = 3.14×(10 ft)² = 314 ft²
The number of bags of sand required is ...
(314 ft²)/(6 ft²/bag) ≈ 52.33 bags
53 bags of sand are needed.
find the inverse of y=0.3x
Answer:The inverse is 3.3x
Step-by-step explanation:
Answer:
x times 10
----------------
3
Step-by-step explanation:
A function g is the incerse of function f if y=f(x), x=g(y)
This had me confused i need big help!!!!
Answer:
[tex]3\frac{7}{8}[/tex]
Step-by-step explanation:
Equation: 4 1/7 + 2 1/8 + x= 10 1/7
Convert into improper fractions:
29/7 + 17/8= 71/7
Add fractions
351/56+x= 71/7
Subtract on both sides
X= 31/8 or 3 7/8
The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
Hello!
It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.
[tex]a^2+b^2=c^2[/tex]
We can set the length of a leg as an unknown variable [tex]x[/tex].
[tex]x^2+4^2=(3x)^2[/tex]
Remember that it is the whole [tex]3x[/tex] term being squared, meaning that it'll simplify to [tex]9x^2[/tex], not [tex]3x^2[/tex].
[tex]x^2+16=9x^2[/tex]
[tex]8x^2=16[/tex]
[tex]x^2=2[/tex]
[tex]x=\sqrt{2}[/tex]
This means we can plug back in to find the sides.
The hypotenuse would be [tex]3\sqrt{2}[/tex], or 4.2.
And the legs would be 1.4 and 4, respectively.
Hope this helps!
A. using substitution find the value of the remaining unknown in each of the following formulas.
1.t=rs (s + 1) if r=4 and s=5
2.k=6-5q/2g if q=3 and g=8
3.p=a+b-2c if a=2, b=-1 and c=5
4.l=1/x - 2/y + z if x=4, y=6, and z=2/3
Answer:
Substitution means that we need to replace some of the variables by the given values.
1) t = rs*(s + 1) (if r=4 and s=5)
So we just need to replace r by 4 and s by 5 in the equation.
t = 4*5*(5 + 1) = 20*6 = 120
t = 120
2) k = 6 - 5q/2g (if q=3 and g=8)
We need to replace q by 3, and g by 8.
k = 6 - (5*3)/(2*8) = 6 - 15/16 = 5.167
k = 5.167
3) p = a + b - 2c (if a = 2, b = -1, c = 5)
Replacing the variables we get:
p = 2 + (-1) - 2*(5)
p = 2 - 1 - 10 = -9
p = -9
4) I = 1/x - 2/y + z (if x = 4, y = 6, and z = 2/3)
Replacing the variables we get:
I = 1/(4) - 2/(6) + (2/3)
I = 1/4 - 2/6 + 2/3 = 1/4 - 1/3 + 2/3
I = 1/4 + 1/3 = 3/12 + 4/12 = 7/12
I = 7/12 = 0.583
What is the length of the diagonal of the rectangle?
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Answer:
21.25
Step-by-step explanation:
The Pythagorean theorem tells you the length of hypotenuse c of a right triangle with legs 'a' and 'b' is ...
c = √(a² +b²)
Here, that means the diagonal length d is ...
d = √(17² +12.75²) = √(289 +162.5625) = √451.5625
d = 21.25 . . . . length of the diagonal
if $5,250 is invested at 4.5% compounded monthly, what is the amount accumulated at the end of 10 years?
Answer:
In 10 years, you will have $793,789.89
Step-by-step explanation:
Counted with compound interest, i would need to know what was the initial but the answ is $793,789.89
Harmony thinks 448 is the solution to the equation 8b=56. is harmony correct? explain why or why not.
pls answer quickly my assignment is due tonight
The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
8b = 56
Simplify the equation, then we have
8b = 56
b = 56 / 8
b = 7
The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
V is a vector space. Mark each statement True or False. Justify each answer.
a. R^2 is a two-dimensional subspace of R^3.
b. The number of variables in the equation Ax D 0 equals the dimension of Nul A.
c. A vector space is infinite-dimensional if it is spanned by an infinite set.
d. If dimV D n and if S spans V, then S is a basis of V.
e. The only three-dimensional subspace of R^3 is R^3 itself.
Answer:
FalseFalseFalseFalseTrueStep-by-step explanation:
A) False ; R^2 is not a two dimensional subspace of R^3 because Vector R^2 will have 2 entries while vector R^3 has 3 entries
B) False : The number of variable in the equation is not equal to the Dimension because dim of Null A represents the number of free variables
C) False : This is because you can span R^3 with an infinite set of vectors but that doesn't make it infinite dimensional subspace
D) False : This is only possible when S has exactly n elements/vectors
E) True : Since R^3 is a three dimensional subspace it is spanned with 3 vectors whom are linearly independent
Help now please... I will mark brainlest
Answer:
60°
Step-by-step explanation:
That's an equilateral triangle therefore all sides and angles are the same.
I need help. This is due later today.
Answer:
D is one of them
Step-by-step explanation:
What is the fraction ⁸⁄₂₀ in its simplest form?
Answer:
2/5
Step-by-step explanation:
dsadsadasddsadsadasddsadsadasddsadsadasddsadsadasd
Step-by-step explanation:
8/20=4/10=2/5
done by cancelling
hope it helps
an investment of 12,000 is losing value at a rate of 4% each year. what is the exponential function to model the situation after 9 years
Answer:
Amount after 9 year = 8,310 (Approx.)
Step-by-step explanation:
Given:
Amount invested = 12,000
Rate on decline = 4% per year = 0.04
Number of year = 9
Find:
Amount after 9 year
Computation:
A = P[1+r]ⁿ
A = 12,000[1-0.04]⁹
A = 12,000[0.96]⁹
A = 12,000[0.6925]
Amount after 9 year = 8,310 (Approx.)
If 10 miles≈16 km, about how many miles would be equal to 92 km? Show how you decided.
Answer:
57.5 miles
Step-by-step explanation:
10 mi : 16 km
x mi : 92 km
(10)(92) = (16)(x)
920 = 16x
57.5 = x
i need help please help!!!!!!!!!!!! i will give extra points
Answer:
90 cubic units
Step-by-step explanation:
6x3x5=90
What is the volume of the following rectangular prism?
Answer: 2.76
Step-by-step explanation:
I wrote it down on paper :)
Almost all employees working for financial companies in New York City receive large bonuses at the end of the year. A sample of 62 employees selected from financial companies in New York City showed that they received an average bonus of $47,000 last year with a standard deviation of $15,000. Construct a 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year.
Answer:
The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 62 - 1 = 61
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 61 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.67
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.67\frac{15000}{\sqrt{62}} = 3181[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 47000 - 3181 = $43,819
The upper end of the interval is the sample mean added to M. So it is 47000 + 3181 = $50,181
The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181
which ordered pair names the point P?
Answer:
c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Phoebe is 3 years less than half her brother’s age. Phoebe is 13 years old. Her brother is b years old. Write an equation that could be used to find her brother’s age.
plzzzzzz help
Answer:
dont know dont care
Step-by-step explanation:
u should pay more attention to what you lesson/teacher is teaching you
The overnight temperature in Tampa never
reached below 40°F during November.
Which inequality shows that?
A x < 40
B x> 40
© x= 40
DX > 40
Truman puts money into his savings
Answer:
Step-by-step explanation: C is the answer
What does the 6 represent in 2/6
Answer:
the denominator
Step-by-step explanation:
the top is numerator ans bottom is denominator
The number 6 is the denominator of the given fraction.
What is a fraction?"A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator.
The number on the top is called the numerator, and the number on the bottom is called the denominator. The numerator defines the number of equal parts taken, whereas the denominator defines the total number of equal parts in a whole."
What is the denominator of a fraction?"A denominator is the part of a fraction that comes below the fractional bar. The denominator shows the total amount of parts that make up a whole. A fraction can be identified by a horizontal bar between two numbers. This bar or symbol is known as the fractional bar. The number on the top is known as the numerator, and the number below the fractional bar is known as the denominator."
For any fraction [tex]\frac{a}{b}[/tex], 'a' is the numerator and 'b' is the denominator.
The given fraction is [tex]\frac{2}{6}[/tex].
Here, the number 6 is the denominator of the given fraction.
Learn more about a denominator here: https://brainly.com/question/7067665
#SPJ2
List the kinds of measurements have you worked with so far. Describe what area is. Describe what volume is.
How could you find the combined area of all faces of a three-dimensional shape? Give an example of why that would be a good measurement to know.
Answer: length, width, and hight
hope this helps \(￣︶￣*\))
Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures θ radians (where 0≤θ<2π). The circle's radius is 2 units long and the terminal point is (−1.15,−1.64).
The terminal point is how many radius lenghts to the right of the circle's center?
h=
Then, cos−1(h)=
Does the number we get in part (b) give us the correct value of θ?
Therefore, θ=
Answer:
hello attached below is the sketch of the missing diagram
a) h = 2
b) cos^-1 ( 2 ) = ∞
c ) θ ≈ 215°
Step-by-step explanation:
a) The length ( h ) to the right of the circles center
= h^2 = ( -1.15)^2 + ( -1.64)^2
∴ h = 2
b) cos^-1 ( 2 ) = ∞
c) The value gotten from b does not give us the value of θ
AB = - 1.64
BC = -1.15
AC = 2
sin^-1 ( - 1.64 / -1.15 )
cos^1 ( -1.15 / 2 ) gives us the value of θ
tan^-1 ( -1.64 / -1.15 )
∴ θ ≈ 215°
The Black transles are shown. Find the value of
The value of
(just type a number in the box)
please help me !!
Answer:
I think its d
Step-by-step explanation:Because i think that.
Answer:
x = 8
Step-by-step explanation:
The ratio between the traingle is
2:3
x:12
3*4 = 12
2*4 = 8
8:12
$500 at 4% for 3 years
:FIND THE INTEREST EARNED
Answer:60$
Step-by-step explanation:
One amoeba weighs about 1.5×10^-9
grams. About how many grams would a quantity of 5×10^12 amoebas weigh?
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Answer:
7.5×10^3 grams
Step-by-step explanation:
Your calculator can tell you the product of the weight of each times the number of them. It is ...
(1.5×10^-9)(5.0×10^12) = 7.5×10^(-9+12) = 7.5×10^3 . . . grams
About 7.5 kg.
We write "3.4 cm + 4.3 cm = 7.7 cm," but the sum could be as small as --------- cm
Answer:
the smallest value of the sum is 7.65 cm.
Step-by-step explanation:
Given;
3.4 cm + 4.3 cm = 7.7 cm
To obtain the least value of the given result, we will apply the rounding-off method;
In the rounding-off method, digits between 0 to 4 will be rounded down to zero while digits between 5 and 9 will be rounded up to 1.
The smallest value of 7.7 cm = 7.65 cm (5 will be rounded up to 1 making 7.65 cm approximately 7.7 cm)
Also, other possible values of 7.7 cm include;
7.66 cm, 7.67 cm, 7.68 cm, 7.69 cm
Note :7.64 cm cannot be rounded up to 7.7 cm because 4 will be rounded down to zero making 7.64 cm approximately 7.6 cm.
Therefore, the smallest value of the sum is 7.65 cm.
HELP!!!!
PLSSSSSSSSSSSSSS
Answer:
For 20
X= 120
Step-by-step explanation:
A retail shop is replacing their flooring with laminate wood. The floor plan is shown below. Determine the total square feet of laminate wood needed to complete the the job.
Answer:
1075 ft
Step-by-step explanation:
25*35 = 875
8*25 = 200
875+200 = 1075