Answers
Answer: 6
Step-by-step explanation:
in a 30 60 90 triangle the hypothenuse is [tex]2a[/tex], long side is [tex]a\sqrt{3}[/tex], and the short side is [tex]a[/tex]
Related Questions
James has g amount of games. Samuel, his friend, has 4 times as many games as James. Write an algebraic expression to represent how many games James has and how many games Samuel has in terms of g.
Answers
Answer: The answer is given below
Step-by-step explanation:
From the question, we are told that James has a lot of games and his friend Samuel, has 4 times as many games as James.
So let the number of games that James has be denoted by g.
Since Samuel has 4 times as the number of games that James has, then Samuel's game will be
= 4 × g
= 4g
Therefore, the expression for James will be g and the expression for the number of games Samuel has is 4g.
Timothy makes reduced copies of a photograph that has an actual length of 8 in. Each time he presses the reduce button on the copier, the copy is reduced by 12%. What formula shows the pattern for the size of each copy of the photograph as it is reduced? What is the length of the photograph’s copy if Timothy presses the reduce button 5 times? Round to the nearest tenth.
Answers
Answer:
length of the photograph will be 4.2 in. after pressing the button 5 times.
Step-by-step explanation:
By pressing the button, every time size of the photograph gets reduced by 12%.
Therefore, the sequence formed by the reduced sizes of the photo will be a geometric sequence and the formula for the size of the reduced image will be,
L = [tex]l(1-\frac{12}{100})^{n}[/tex]
Where l = Actual length of the photograph
L = length of the reduced image
n = Number of times the button has been pressed
For l = 8 in. and n = 5
L = [tex]8(1-0.12)^{5}[/tex]
= [tex]8(0.88)^{5}[/tex]
= 4.22 in
L ≈ 4.2 in.
Therefore, length of the photograph will be 4.2 in. after pressing the button 5 times.
The length of the photograph's copy when the button is pressed the 5th times is 4.2 inches
The question is an illustration of an exponential function.
An exponential function is represented as:
[tex]y = ab^x[/tex]
Where:
a represents the initial value i.e. a = 8b = 1 - r; and r represents the rate. i.e. r = 12%.So, the function becomes
[tex]y = 8 \times (1 - 12\%)^x[/tex]
Express 12% as decimal
[tex]y = 8 \times (1 - 0.12)^x[/tex]
This gives
[tex]y = 8 \times 0.88^x[/tex]
When the button is pressed the 5th times, we have:
[tex]y = 8 \times 0.88^5[/tex]
[tex]y = 4.2[/tex]
Hence, the length of the photograph's copy is 4.2 inches
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Suppose you start an annuity where you invest $2,000 at the beginning of each year and 4% interest is paid at the end of the year. What is the value of the annuity at the end of 5 years, rounded to the nearest dollar? It is $
Answers
The value of the annuity at the end of 5 years, rounded to the nearest dollar is $10,833.
What is the value of the annuity at the end of 5 years?The formula that can be used to determine the future value of the annual annuity is:
Yearly deposity x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate n = number of years2000 x {[(1.04^5) - 1] / 0.04} = $10,832.65
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DESPERATE GEOMETRY HELP!!!
Answers
Answer:
b. 3
Step-by-step explanation:
pi * r^2 * h = 162 pi
plug in 18 ft for h
pi * r^2 * (18) = 162 pi
simplifies to r^2 = 9
r=3
Everlys’ school is located at the midpoint between her house and the library. Find the location of her school if her house is located at (8, 1) and the library is at (-2, -5).
Group of answer choices
(3, -2)
(5, 3)
(10, 6)
(6, -4)
Answers
Answer:
i think that the answer is 1.000
Step-by-step explanation:
Evaluate 9 − b 9−b9, minus, b when b = 8b=8b, equals, 8.
Answers
Answer:
the way you wrote the question is confusing. Please right it in better wording or with line breaks
Step-by-step explanation:
what’s the answer for this question
Answers
Answer:
128
Step-by-step explanation:
you do 16 x 16 (256) and then divide it by 2
Jackson and Xavier are both solving the multiplication 0.8 x 5. Jackson gets 4 as a solution, and Xavier gets 0.4. Xavier said to Jackson, "Your answer of 4 can't be right for 0.8 x 5. You need a decimal point because a product always has the same number
Answers
Answer:
Jackson
0.8×5=4
Xavier
0.8×5=0.4
If Xavier said to Jackson that his answer of 4 can't be right.
Jackson needs a decimal point because a product always have the same answer.
Then,
Xavier is right with his sayings but wrong with the answer of 0.4
The correct answer is 4.0
The decimal point should be counted from the back not from the front as Xavier did
In ΔHIJ, the measure of ∠J=90°, IJ = 47 feet, and HI = 68 feet. Find the measure of ∠H to the nearest degree.
Answers
Answer:
44
Step-by-step explanation:
factor the polynomial 8x-2
Answers
Answer:
[tex]2(4x-1)[/tex]
Step-by-step explanation:
you divide by 2 and simplify. idk how else to explain it....
Answer:
2(4x-1)
Step-by-step explanation:
Factor out a 2
how do I simplify this algebraic expression 3x+2a-4x
Answers
Start by changing the -4x to + -4x.
So we have 3x + 2a + -4x.
To simplify, we can only combine what are called our like terms and in this problem, we have a pair of like terms in our x terms.
3x + -4x simplifies to -x.
So our answer is -x + 2a.
Note that if you wrote your answer as -1x + 2a, it means the same thing. However, as we move farther into math, we usually tend to drop the -1 or 1 that is in front of a variable since it's implied
You pick one card from each set and find the sum. How many different sums are possible?
Answers
Answer:
24 possibilities
Step-by-step explanation:
2*2*6=24
24 possibilities
The number of different sums possible is 24 possibilities.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We have been given that pick one card from each set and find the sum.
Therefore, we need to find the number of different sums that are possible;
2 x 2 x 6=24
24 possibilities
Hence, the number of different sums possible is 24 possibilities.
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Solve
8 - (2x - 9) = 17-24
Answers
Answer:
x=12
Step-by-step explanation:
8-(2x-+9)=17-24
8-2x=17-24-9
8-2x=-7+-9
8-2x=-16
-2x=-16-8
-2x=-24
x=-24/-2
x=12
8 - 2x -+9 = -7
-2x+17=-7
-17 -17
-2x = -24
/-2. /-2
x = 12
A bag contains marbles of four different colors listed below. What is the probability of picking a BLUE marble at random out of the bag?
8 blue marbles, 24 red marbles, 16 green marbles, 4 yellow marbles.
~
1) 8/100
2) 2/13
3) 6/13
4) 4/13
Answers
Step-by-step explanation:
Total marbles = 24 + 8 + 16 + 4 = 52
Probability of blue marble = 8/ 52 = 4 / 26 = 2 / 13
Option 2 is the correct answer
What is the volume of a rectangular prism with a length of 2 inches, a width of an inch & is a quarter of an inch in height?
Answers
Answer:
= 1/2 inches ^3
Step-by-step explanation:
The volume of a prism
V = l*w*h
= 2 * 1 *1/4
= 1/2 inches ^3
Answer:
[tex] = \frac{1}{2} {in}^{3} [/tex]
Step-by-step explanation:
[tex]v = whl \\ = 1 \times \frac{1}{4} \times 2 \\ = \frac{2}{4} \\ = \frac{1}{2} {in}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
what is the percent change between 6 to 3?
Answers
Answer:
50% = percent chang
Step-by-step explanation:
6 ÷ 50%
6 × .50 = 3
3 ÷ .50 = 6
1. Si tengo el siguiente ejercicio x = 8+9*4+(32*2+5*4)+3*6 aplicando la jerarquía de operaciones, el resultado sería? a. 25 b. 45 c. 78 d. Ninguna de las anteriores
Answers
Answer:
Option D is correct.
The answer is none of the above.
x = 146
La opción D es correcta.
La respuesta es ninguna de las anteriores.
x = 146
Step-by-step explanation:
English Translation
If I have the following exercise x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6 applying the hierarchy of operations, the result would be?
a. 25
b. 45
c. 78
d. None of the above
Solution
The hierarchy of operations includes BODMAS.
B - Brackets
O - Order
D - Division
M - Multiplication
A - Addition
S - Subtraction
x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6
Solving the bracket first.
The multiplication in the bracket are first simplified to give
x = 8 + 9 * 4 + (64 + 20) + 3 * 6
Then further simplifying the bracket
x = 8 + 9 * 4 + (84) + 3 * 6
We then solve the multiplication outside the brackets
x = 8 + 36 + 84 + 18
We now sum all of this
x = 146
In Spanish/En Español
La jerarquía de operaciones incluye BODMAS.
B - Soportes
O - Orden
D - División
M - Multiplicación
A - Suma
S - Resta
x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6
Resolver el soporte primero.
La multiplicación en el paréntesis se simplifica primero para dar
x = 8 + 9 * 4 + (64 + 20) + 3 * 6
Luego simplificando aún más el soporte
x = 8 + 9 * 4 + (84) + 3 * 6
Luego resolvemos la multiplicación fuera de los corchetes
x = 8 + 36 + 84 + 18
Ahora sumamos todo esto
x = 146
Hope this Helps!!!
¡¡¡Espero que esto ayude!!!
Idk what it is plz help me
Answers
Answer:
1) Starting height is 6.25
2) after 20 years it would be 30
1.25(20)=25+5=30
3) 76 years
Answer:
a) 5 feet
b) 30 feet
c) 76 years
Step-by-step explanation:
a) 5 feet. If t is 0, it'll still be 5 feet
b) 30 feet
1.25*20+5=
25+5=
30
c) 76 years
100 = 1.25t+5
1.25t=95
t=76
Which expression represents the volume of a rectangular prism that is not occupied by the cylinder.
Answers
Answer:
The volume of the prism not occupied by the cylinder is (150 - 25*pi)*h.
Step-by-step explanation:
In order to calculate the volume of the rectangular prism that is not occupied by the cylinder we need to calculate the total volume of the rectangular prism and subtract it by the volume of the cylinder. We have:
Rectangular prism:
Volume prism = length*height*width
Volume prism = 15*h*10 = 150*h
Cylinder:
Volume cylinder = pi*r²*h = pi*5²*h = 25*pi*h
The volume of the prism that is not occupied by the cylinder is:
volume not occupied = volume prism - volume cylinder
volume not occupied = 150*h - 25*pi*h = (150 - 25*pi)*h
The volume of the prism not occupied by the cylinder is (150 - 25*pi)*h.
Describe in your own words what a hyperbola is.
Answers
Answer:
A conic section that can be thought of as an inside-out ellipse
Step-by-step explanation:
Hyperbola is a two-branched open curve-conic section.
What is a hyperbola?Hyperbola is the locus of all those points in a plane such that the difference in their distances from two fixed points in the plane is a constant.
For the given situation,
We need to describe about a hyperbola.
A hyperbola is two curves that are like infinite bows. It is a two-branched open curve, a conic section produced by the intersection of a circular cone and a plane that cuts both nappes of the cone.
The standard equation of hyperbola is
[tex][\frac{x^{2} }{a^{2} }-\frac{y^{2} }{b^{2} }]=1[/tex]
where,[tex]b^2 = a^2 (e^2 -1)[/tex]
a,b are the points on the plane and e is the eccentricity.
Hence we can conclude that hyperbola is a two-branched open curve-conic section.
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The city limits of Las Pythagoras form a perfect shape of an isosceles right triangle whose legs are both 25 2525 kilometers long. The population in Las Pythagoras is 100 , 000 100,000100, comma, 000 people. What is the population density of Las Pythagoras?
Answers
320
Step-by-step explanation:
Melissa needs to wrap a gift box that is shaped like a rectangular prism. The length is 6 inches, the width is 6 inches and the height is 8 inches. How much wrapping paper does she need to cover the whole box
Answers
Answer:
A=264
Step-by-step explanation:
Describe two methods that can be used to find the area of the composite figure.
Answers
Answer: A composite figure is made up of several simple geometric figures such as triangles, rectangles, squares, circles, and semicircles. To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.
Area of the composite figure can be find by using additive areas method and subtractive areas method
What is Composite figure?Composite geometric figures are made from two or more geometric figures. The composite figure below is made from parts of a rectangle and a circle
What is Area ?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
Area of the composite figure can be find by using two methods,
Additive areas method and Subtractive areas method
In Addictive areas method
Break the composite shape into basic shapesFind the area of the each basic shapesAdd all the areas of basic shapes togetherIn Subtractive areas method
Break the composite shape into basic shapes. That shape maybe larger than the composite shapes.Find the area of the each basic shapesArea of the composite shape will be the difference between the area of the larger shape.Hence, the area of the composite figure can be find by using additive areas method and subtractive areas method
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can someone help? 25 points
Answers
Answer:
8 hours
Step-by-step explanation:
HE has to pay $7 an hour.
8*7=56
He has a descount of $3, so
$56-$3=$53.
Which is the exat amount of money that Tony has.
Answer:
The answer is 46
Because he wants to spend less so you would do
7x7=49
He could only rent the boat for 7 hours because that would be less than 53$
Now you do 49-3=46
Because he had a discount
So the answer is 46
Step-by-step explanation:
Hope this helped!
Given a school supply store sells pencils for $2, pens for $4, and markers for $5. Write an expression for the total cost of 3 pencils, 2 pens, and 3 markers
Answers
Answer: 29
Step-by-step explanation:
3x2= 6
4x2=8
3x5=15
6+8+15= 29
hoped I helped you a bit! Good luck! :)
what is -4 {2 - y} + 3y = 3 {y - 4}
Answers
7y-8=3y-12
7y-3y= -12+8
4y= -4
Y= -1
A copy machine makes 231 copies in 5 minutes and 15 seconds. How many copies does it make per minute?
Answers
The solution is 44 copies
The number of copies the copy machine makes in one minute is 44 copies
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
The number of copies the copy machine makes = 231 copies
Time required by the to make 231 copies = 5 minutes 15 seconds
5 minutes = 5 x 60 seconds
5 minutes = 300 seconds
5 minutes 15 seconds = 300 + 15 seconds
5 minutes 15 seconds = 315 seconds
So , Time required by the to make 231 copies = 315 seconds
Now , number of copies in 1 minute = 60 x ( The number of copies the copy machine makes / Time required by the to make 231 copies )
Substituting the values in the equation , we get
Number of copies in one minute A = 60 x ( 231 / 315 )
Number of copies in one minute A = 60 x 0.733
Number of copies in one minute A = 44 copies
Therefore , the value of A is 44 copies
Hence , the number of copies is 44 copies
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The art club had an election to select a president. 75% of the 68 members of the club voted in the election. How many members voted?
Answers
Answer:
51 members voted of the 68 members
Please help me now plz I will mark you brainliest
Answers
Answer:
Neither
Step-by-step explanation:
It can be paralel because they both pass through -7 and it cant be perpendicular because the dont intersect at a 90 degree angle
Solve the following system of equations {4x−6y=105x+6y=−55
Answers
Answer:
31557778998765432
Step-by-step explanation:
is it impossible
