12.56 rounded to the nearest tenth becomes 12.6.
Rounding some number to a specific value is making its value simpler for better readability or accessibility.
The digit in the hundredth place is 6. The next smaller place value is the tenth place.
If the digit in the next smaller place value is 5 or greater, round up:
Since the digit in the tenth place is 5, we round up.
Change the digit in the hundredth place to 0 and increase the digit in the tenth place by 1:
12.56 rounded to the nearest tenth becomes 12.6.
Therefore, 12.56 rounded to the nearest tenth is 12.6.
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Each face of a pyramid is an isosceles triangle with a 74° vertex angle. What are the measures of the base angles?
Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
An isosceles triangle is a triangle whose two sides are equal and the angle opposite to the equal sides are equal.
The sum of the isosceles triangle = 180°
The base angle of the isosceles triangle for each face of a pyramid is 53°
What is a triangle?Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
An isosceles triangle is a triangle whose two sides are equal and the angle opposite to the equal sides are equal.
Now,
Vertex angle of the isosceles triangle = 74°
The sum of the isosceles triangle = 180°
Let the two equal base angles = x
x + x + 74° = 180°
2x + 74° - 180°
2x = 180 - 74
2x = 106
x = 53°
Thus,
The base angle of the isosceles triangle for each face of a pyramid is 53°
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The cost of seeing a weekday show is 2/3 the cost of a weekend show. in one month, andy spent $42.50 for 4 weekday shows and 3 weekend shows. find the price of a weekday show and the price of a weekend show
Answer:
x = weekday shows
y = weekend shows
x = 2/3y
4x + 3y = 42.50
4(2/3y) + 3y = 42.50
8/3y + 3y = 42.50
8/3y + 9/3y = 42.50
17/3y = 42.50
y = 42.50 * 3/17
y = 127.50/17
y = 7.50
x = 2/3y
x = 2/3(7.50)
x = 15/3
x = 5
so weekday shows (x) cost $ 5 and weekend shows (y) cost $ 7.50
Step-by-step explanation:
For f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x)
Answer:
The required answer is: [tex]-x^2+2x+8[/tex]
Step-by-step explanation:
We have been given the two function:
[tex]f(x)=2x+1[/tex]
And [tex]g(x)=x^2-7[/tex]
We have to find (f-g)(x):
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](2x+1)-(x^2-7)[/tex]
[tex]2x+1-x^2+7[/tex]
[tex]-x^2+2x+8[/tex]
We will get the quadratic expression after the prescribed operation been applied.
Hence, the required answer is: [tex]-x^2+2x+8[/tex]
16-2b=b+7
solve equation
I need help solving these please help...
Order 51/62 32/43, and 74/87
a square is just big enough to contains a unit circle. what is radius of the largest circle in one of the corners in the square but outside the unit circle?
Classify the numbers as prime or composite
I am gonna give you classify three numbers as prime numbers and three numbers composite numbers, since you never mentioned about any specific numbers.
Prime numbers
1.3- it is a prime number because they only factors it has, is 1 and itself.
2.11- it is a prime number because you can only multiply by 11 or 1 to get 11.
3.13- it is a prime number because it only has 2 factors.
Composite numbers
1.4- it is a composite number because it has more than 2 factors.
2.8- it is a composite number because it has 1,2,4, and 8 as its factors.
3.14- it is a composite number because it has 1,2,7,and 14 as its factors.
Sydney is cutting the crust from the edges of her sandwich. The dimensions, in centimeters, of the sandwich is shown.
Which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of the crust?
Answer:
The answer is B. I looked at the picture of his problem. I just did the test.
I just knew the answer beforehand.
Step-by-step explanation:
a rectangle has a perimeter of 88 ft. if the ratio of its length to width is 9:2, what is its actual length and width
15 oranges were purchased.
Cost per orange: $0.45
c = total cost of oranges
Which equation shows
the total cost of oranges?
An explorer in the dense jungles of equatorial Africa leaves his hut. He takes 40 steps northeast, then 80 steps 60 degrees north of west, then 50 steps due south.Assume his steps all have equal length. Save him from becoming hopelessly lost in the jungle by giving him the displacement, calculated using the method of components, that will return him to his hut. ...?
what is the scietnific notation of 108,000,000?
...?
What is the value of the function y = 2x - 3 when x = –1?
A.
–5
B.
2
C.
–1
D.
3
Which set of points is not coplanar?
points A, B, E
points A, B, C, E
points B, C, D
points A, B, C, D
we know that
Coplanar points are three or more points which lie in the same plane. Remember that a plane is a flat surface which extends without end in all directions. Any three points in 3-dimensional space determine a plane.
case a) points A, B, E
Any group of three points determines a plane
so
The points A,B,E are coplanar
case b) points A, B,C,E
The four points do not belong to the same plane
so
The points A,B,C,E are not coplanar
case c) points B, C, D
Any group of three points determines a plane
so
The points B, C, D are coplanar
case d) points A,B, C, D
The base of the pyramid is a flat surface, the four points lie in the same plane
so
The points A,B, C, D are coplanar
therefore
the answer is the option
points A, B, C, E are not coplanar
What's the numerator for the following rational expression? G/h + 8/h = ?/h
How would the following numbers be represented in E notation?
3.287 x 10^6
A box contains 3 plain pencils and 9 pens. a second box contains 7 color pencils and 3 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected?
A laptop computer is purchased for 2300 . After each year, the resale value decreases by 35% . What will the resale value be after 4 years?
round your answer to the nearest dollar ...?
Liv wants to buy a new pair of jeans for an upcoming party. She finds a pair she likes that was originally priced at $50 and is now on sale for $42. What is the percent of discount for this item?
A.) 16%
B.) 18%
C.) 20%
D.) 25%
What is 3/5 as a decimal? answers:
a. 0.75
b. 0.3
c. 0.12
d. 0.15
given the function f(x)=3√x-2; What restriction is there on the value uner the square root symbol? In other words what can't you do with a square root expression? ...?
Answer:
x must be greater than or equals to 2
Step-by-step explanation:
Here we follow the rule , which says that , the term inside the square root must not be less than 0. It is because, square of any real number whether positive or negative always results in a positive real number. Hence , there can not be negative real number whose sqaure root exists.
Hence
In order to function to be defined ,
x-2>=0
Adding 2 on both sides we get
x>=2
Hence this is our condition.
A population of 240 birds increases at a rate of 16% annually. Jemel writes an exponential function of the form f(x) = abx to represent the number of birds after x years. Which values should she use for a and b?
Answer:
[tex]\boxed{\boxed{a = 240, b = 1.16}}[/tex]
Step-by-step explanation:
General exponential function for growth or decay is,
[tex]y=a(1\pm r)^{x}[/tex]
Where,
a = initial value,
r = rate of change
+ is used for growth and - is used for decay.
As here, the number of birds increasing so, the exponential function is,
[tex]y=a(1+r)^{x}[/tex]
And initial value a = 240, r = rate of change = 16% = 0.16
Putting the values,
[tex]y=240(1+0.16)^{x}\\\\y=240(1.16)^{x}[/tex]
Comparing this with the given equation [tex]y=ab^{x}[/tex]
Hence, a = 240, b = 1.16
Answer:
The value of a is 240 and b is 1.16.
Step-by-step explanation:
Given,
The initial population of the birds = 240,
Annual rate of increasing = 16 %,
Hence, the population of birds after x years
[tex]P=240(1+\frac{16}{100})^x[/tex]
[tex]=240(1+0.16)^x[/tex]
[tex]=240(1.16)^x[/tex]
We can put P = f(x), ( because, f(x) also shows the population of birds after x years )
[tex]\implies f(x) = 240(1.16)^x[/tex] --------(1)
According to the question,
[tex]f(x) =ab^x[/tex] --------(2),
From equation (1) and (2),
a = 240 and b = 1.16
Pete wants to make turkey sandwiches for two friends and himself. He wants each sandwich to contain 3.5 ounces of turkey.how many ounces of Turkey does he need?
Solve for x.
A triangle is drawn with a midsegment. The midsegment is labeled 4 x minus 1 and the side of the triangle that is parallel to the midsegment is labeled 30.
30
15
7.75
4 Solve for x.
A triangle is drawn with a midsegment. The midsegment is labeled 4 x minus 1 and the side of the triangle that is parallel to the midsegment is labeled 30.
30
15
7.75
4
please help!! Choose the equation below that represents the line passing through the point (−5, 1) with a slope of 3/2
A: y − 5 = 3/2 (x + 1) B: y + 1 =3/2 (x − 5) C: y + 5 = 3/2 (x − 1) D: y − 1 = 3/2 (x + 5)
if the difference in the side lengths of two squares is 10 and the sum of the side lengths is 18 what are the side lenghts
Shuttle A departs every 8 minutes Shuttle B departs every 10 minutes and Shuttle C departs every 12 minutes. If all shuttles leave the airport at 4:00 P.M., at what time will they next leave the airport together?
Solve the following system of equations. Enter the y-coordinate of the solution. Round your answer to the nearest tenth.
5x+2y=21
-2x+6y=-34
...?
Answer:
The y-coordinate of the solution would be [tex]-\frac{64}{17}[/tex]
Step-by-step explanation:
Given system of equations,
5x+2y = 21 ----------(1)
-2x+6y = -34 ---------(2),
2 × Equation (1) + 5 × Equation (1),
We get,
4y + 30y = 42 - 170
34y = -128
[tex]\implies y = -\frac{128}{34}=-\frac{64}{17}[/tex]
Write an equation to solve the problem.
Two buses leave Houston at the same time and travel in opposite directions. One bus averages 55 mi/h and the other bus averages 45 mi/h. When will they be 400 mi apart? ...?
ok guys this is for connexus introduction to solving equations: practice
1. B, h=2A/b 2. C, v=h+5t^2/t 3. D, 23 4. D, -81 5. A, 17/7 6. D, 8 7. A, 4 hours 8. C, width is 4.5; length is 7.5 9. C, never true 10. B, sometimes true
-hope this helps you guys out :3 your welcome