Answer:
Firstly irrational number are any real number that cannot be expressed as the quotient of two integers . For example there is no number among integers and fractions that equals the square root of 2 .
Hope I helped
Anton joined a golf club. He pays an annual membership fee of $895 and greens fee of $30 each time he plays golf. Last year he paid $2,065 as a total golfing fee. How many games did he play? Write and solve the equation.
Which of the following is NOT true about the hypotenuse of a triangle?
A. It is across from the right angle
B. It is always greater than 1
C. IT is always across from the largest angle in the triangle
D. It is the longest side
Depending on the length of the two sides of the triangle the length could be smaller than 1.
The answer that is not true is :
B. It is always greater than 1
HELP PLS!!
Find the lateral area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.
A. 90 units²
B. 540 units²
C. 1080 units²
D. 360+64√3 units²1
Answer:
B
Step-by-step explanation:
The lateral area of the regular pyramid shown in the diagram is 540 unit². Hence, option B is the right choice.
What is the area?The area of a figure is the two-dimensional space enclosed within the boundary of that figure.
How to solve the question?In the question, we are asked to find the lateral area of the regular pyramid shown.
A regular pyramid is one with all lateral faces the same.
In the given diagram, the pyramid shown has a hexagonal base. So it has 6 equal lateral faces.
Each lateral face is a triangle, with the base as 12 units and height as 15 units.
Thus, the area of one lateral face = (1/2)*12*15 units² = 90 units².
Thus, the total lateral surface area = Lateral surface area of one lateral face*number of lateral faces = 90 units²*6 = 540 units².
Thus, the lateral area of the regular pyramid shown in the diagram is 540 unit². Hence, option B is the right choice.
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x/3=y/8=z/5 và 2x+3y-z=50
Find a quadratic function that includes the set of values below.
(0,7), (2,17), (3,16)
The equation of the parabola is
Answer:
f(x) = -3x^2 + 10x + 3
Step-by-step explanation:
(0,3) (2,11)(3,6)
Using the form ax^2 + bx + c = y
From the first set we know that c = 3
Write an equation for the last two sets
x=2; y=11
a(2^2) + b(2) + 3 = 11
4a + 2b = 11 - 3
4a + 2b = 8
simplify divide by 2
2a + b = 4
and
x=3, y=6
9a + 3b + 3 = 6
9a + 3b = 6 - 3
9a + 3b = 3
simplify divide by 3
3a + b = 1
:
Use elimination to find a
3a + b = 1
2a + b = 4
--------------subtracting eliminate b
a = -3
Find b using the equation 2a + b = 4
2(-3) + b = 4
b = 4 + 6
b = 10
:
The equation: f(x) = -3x^2 + 10x + 3
PLEASE HELP ASAP! FAST! Thank you xoxo
Answers and Step-by-step explanation:
Question 8:
Since angle BCD is opposite angle DAB, this means that they are similar angles as the shape is a parallelogram, and so BCD is 115 degrees, or answer D
Question 3:
We can use process of elimination on this question - The first choice is all squares are rhombuses, which is true. The second question is all rectangles are squares, which is not true, therefore the answer is B
Question 4:
m angle 2 is equal to 106, as it is similar to question 8, and angle 3 is equal to 360 (the total degrees of the shape) - 106 - 106, then divided by 2 and divided by 2 again.
This will equal to angle 3 being 37 degrees, and the answer will be C
Question 5:
We can draw a rectangle from this graph. We can also tell that, in theory, the diagonals are the same, that rules out answer B, and also 5x-5 = x+11
We can then find out x.
+5 on both sides
5x = x+16
-x on both sides
4x = 16
x = 4.
Therefore, each of the sides will be 4+11 = 15, and the answer being C
Suppose you invest $800 into an annuity account that pays 7% annual interest, compounded continuously. How much will you have in the account in 10 years? F(t) = ae^rt
Answer:
1611.00
Step-by-step explanation:
You have $1611.00 in the account in 10 years. The correct option is B.
What is continuous compound interest?Interest that compounded continuously to the principal amount. This interest rate provides exponential growth to a period of time.
Formula of continuous compound interest rate;
F(t) = a(e[tex])^{rt}[/tex]
, where a is the principal amount, r is the interest rate and t is the time period.
Given:
You invest $800 into an annuity account that pays 7% annual interest, compounded continuously.
And the formula is given by:
F(t) = a(e[tex])^{rt}[/tex]
According to the question,
Investment a = $800
Time period = 10 years.
And the interest rate r = 7%
Converting interest rate into decimals,
r = 0.07
Substituting all the values top the formula,
F(t) = a(e[tex])^{rt}[/tex]
F(t) = (800)(e[tex])^{(0.07)(10)}[/tex]
F(t) = (800)(e[tex])^{(0.7)}[/tex]
F(t) = 1611
F(t) = $1611.00
Therefore, you have $1611.00 in account.
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please help will bark brainliest
Answer:
A.
Step-by-step explanation:
Help please! thank you xoxo!
2 math problems
3. x = 45
4. 73°
Step-by-step explanation:
3. The sum of the interior angles of a pentagon is 540° so
90° + 112° + 2x + (2x + 10) + 148° = 540°
Simplifying this, we get
4x + 360 = 540 => 4x = 180 or x = 45
4. The sum of the interior angles of a pentagon is 540° which means that the unknown interior angle is 107°. This angle is a supplementary angle to [tex]\angle{A}[/tex] so [tex]\angle{A}[/tex] is
180° - 107° = 73°.
In a group 40% like football ,70% like cricket and 30% like both games
Answer:
15% for both games
Step-by-step explanation:
30%÷2=15%
write a clear instructions explaining how to perform the following calculation (125+47-2.5)÷140+37×249
Answer:
It is 9214.2
Step-by-step explanation:
[tex](125 + 47 - 2.5) \div 140 + 37 \times 249[/tex]
first solve the bracket:
[tex] = (169.5) \div 140 + 37 \times 249[/tex]
form brackets of division and multiplication:
[tex] = (169.5 \div 140) + (37 \times 249)[/tex]
solve the brackets:
[tex] = 1.211 + 9213[/tex]
then add:
[tex] = 9214.211[/tex]
what values of x satisfy the equation 2x^2 -3x +4 =0
Answer:
(3 ± √23 * i) /4
Step-by-step explanation:
To solve this, we can apply the Quadratic Equation.
In an equation of form ax²+bx+c = 0, we can solve for x by applying the Quadratic Equation, or x = (-b ± √(b²-4ac))/(2a)
Matching up values, a is what's multiplied by x², b is what's multiplied by x, and c is the constant, so a = 2, b = -3, and c = 4
Plugging these values into our equation, we get
x = (-b ± √(b²-4ac))/(2a)
x = (-(-3) ± √(3²-4(2)(4)))/(2(2))
= (3 ± √(9-32))/4
= (3 ± √(-23))/4
= (3 ± √23 * i) /4
If AB is parallel to DE, then CD is:
Answer:
4
Step-by-step explanation:
because BC=CD as it is parallel that means all the sides are equal
The value of CD is 20/3.
The correct option is (A).
What is Similarity in Triangles?
Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
In ACB and ECD,
angle CAB= angle DEC
angle CBA= angle EDC
angle DCE = angle ACB
By, AA similarity criteria,
ΔACB~ΔECD
Now,
AC/CE= BC/CD
3/5=4/CD
CD= 20/3
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the ratio of shorts to pants is 1/2 if there are 8 shorts how many pants are there
A.16
B.4
C.6
D.8
10. Name the one example of Analog computer
Answer:
example of Analog computer=
Operational amplifiers
Answer:
there are many types eg cosmic engine
helppppppppppppppppp
Answer:
1) LInear Pair
2) Adjacent (but not a linear pair)
3) Complementary Angles
4) Vertical angles
Step-by-step explanation:
1st pair of angles are linear because they sum to 180 and are on the same line
2nd pair of angles are adjacent but not linear because they're not on a line
3rd pair of angles are complementary because they're neighboring a 90° angle and the three angles share the same line.
4th pair of angles are vertical because they're across from each other.
Answers:
Linear PairAdjacent (but not a linear pair)ComplementaryVertical AnglesThe answers are given from top to bottom in that exact order.
=======================================================
Explanations:
Angles AOB and DOB are considered a linear pair because they are adjacent and supplementary. They are adjacent because they share a common wall so to speak. That wall being ray OB. They are supplementary because they form a 180 degree angle. As the name "linear pair" implies, the pair of angles form a straight line. Unlike the previous set of angles, these angles are not supplementary. So they aren't a linear pair. However, the angles do share a common ray. So they are adjacent.These angles combine to a right angle (aka 90 degrees). Therefore, they are complementary angles that form a sharp corner. These are vertical angles because they are opposite one another. Ignore ray OB and only focus on lines AD and EC. Vertical angles form whenever we have this X shape like this, and the vertical angles are opposite one another. Vertical angles are always congruent.
What is the value of the digit 6 in 873,261?
What is the value of the digit 6 in 137,2617?
Answer:
Step-by-step explanation:
60
600
A car uses 8 gallons of gasoline to travel 290 miles.Juanita wants to take a trip that is 400 miles. What equation will she need to use to find out how much gas the trip will use?
Answer:
To find this answer, you would need to find how many miles 1 gallon of gas will take them. To find this, you would do 290÷8=36.25. So with this information, you will be able to find out how much gas it would take to travel 400 miles. You would do 400÷36.25=11.03. 11.03 would be how many gallons of gas is used to travel 400 miles. Hope this helps! :)
Step-by-step explanation:
-6x-1=35 what is x solve and write the equation
Answer:
-6
x - 6 is the equation, (unless there was a y, and it pasted wrong)
Step-by-step explanation:
You do additive property of equality by adding 1 to both sides.
-6x - 1 = 35
= -6x - 1 + 1 = 35 + 1
= -6x = 36
Division property of equality by dividing both sides by -6 or 6
= -6/-6x = 36/-6
= 1x = -6
x = -6
Use the numbers 2, 3, and 4 to provide an example of the Associative Property of Multiplication.
Answer:
(2x3) x 4= 2 (3x4)
The equation of a circle is given below. Identify the center and radius. Then graph the circle.
(x-3)² + y² =9
Answer:
Center = (3, 0)Radius = 3Graph = see belowConcept:
Here, we need to know the idea of the circle equation.
Circle equation: (x - h)² + (y - k)² = r²
(h, k) = center
r = radius
x = variable
y = variable
Solve:
Given expression
(x - 3)² + y² = 9
Find the point of the center
(h, k) = [tex]\boxed{(3,0)}[/tex]
Find the length of the radius
r² = 9
[tex]\boxed{r=3}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
HELP PLSSS IM STARTING SCHOOL AND DODNT FINISH MY HW!!
Answer:
(2,3.5)
Step-by-step explanation:
B=(1,2)
A=(3,5)
what is the zero turn for the arithmetic sequence 128,96,64,32
You are falling by [tex]32[/tex],
[tex]128, 128 - 32, 128 - 32\cdot2,\dots[/tex]
In general your sequence is defined as,
[tex]a_n=128-32\cdot n[/tex] where [tex]0\leq n \lt\infty[/tex].
The question is at which [tex]n[/tex] does the value [tex]a_n=0[/tex].
If you divide [tex]128[/tex] with [tex]32[/tex] you get the number of steps needed to stuff [tex]128[/tex] with [tex]32[/tex], [tex]4[/tex].
If you plug in [tex]n=4[/tex], you get [tex]a_4=128-32\cdot4[/tex], since [tex]32\cdot4=128[/tex] you get [tex]a_4=0[/tex].
The zero turn of the arithmetic sequence is thus at [tex]n=4[/tex].
Hope this helps :)
Which set of ordered pairs does NOT represent a function?
{(8,9), (-2,9), (7,5), (-4, – 7)}
{(-5, -7),(-5,4), (-2,-8),(3,5)}
{(8,0),(-4, -2), (7,1),(0,0)}
{(-8,3), (-5, – 7),(-4,5), (9,3)}
Answer:
{(-5, -7),(-5,4), (-2,-8),(3,5)}
Step-by-step explanation:
Functions can't use the same x-coordinate twice
write as an expression :the quantity 10 less than x, divided by 4
Answer:
(x-10)/4
Step-by-step explanation:
10 less than x means,
x - 10
and the divide by 4.
=> (x-10)/4
Answer:
x-10/4
10 less than x
x-10
divided by 4
/4
given the equation 4x + 3y = 18. find the value of y when x = −3
9514 1404 393
Answer:
y = 10
Step-by-step explanation:
Put -3 where x is and solve for y.
4(-3) +3y = 18
-4 +y = 6 . . . . . . . divide by 3
y = 10 . . . . . . . . . add 4
What is the area of the rhombus shown below?
Answer:
Its not a rhombus its a triangle and your answer is 600
Step-by-step explanation:
mutlpiy 20 by 30 to get your answer
A store is selling a sweater on sale for $17.90. The regular price is %22.95. What percent of the regular price is on sale
Answer:
$21.10
Step-by-step explanation:
8. Find the sum and difference between the greatest number and the least number of 7-digits number.
Answer:
sum is 19,999,998 and difference is 0
please brainleist my answer
Answer:
Step-by-step explanation:
The greatest number of 7-digits number is 9,999,999
The least number of 7-digits number........is 1,000,000
Their sum......................................................... is 10,999,999
Their différence ............................................. is 8,999,999
please help!!! what is the interquartile range?