Answer:
2.22 rotations
Step-by-step explanation:
First, have to multiply the diameter by Pi. 5 * π = 15.7
15.7 is the circumference because the formula for circumference is d * π = c (diameter=d, circumference=c)
Next, 35/15.7 is 2.22.
You divide the 35 by 15.7 because if 15.7 inches is one rotation, then you want to see how many rotations fit into 35.
The rolling pin travels a distance of 549.5 inches in 35 rotations.
What is a sphere?A sphere has a spherical, symmetrical form. It is a three-dimensional solid with equal distances between each surface point and the center.
Given that, the diameter of the rolling pin is 5 inches.
The circumference of the rolling pin is:
5π
= 5×3.14
=15.7
Therefore, the rolling pin covers 15.7 inches in one rotation.
1 rotation = 15.7 inches
35 rotation = 35 ×15.7 inches
35 rotation = 549.5 inches
Hence, the rolling pin travels a distance of 549.5 inches in 35 rotations.
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A tablet has a 7-in. diagonal screen. The length of the tablet screen is 2.7 in. more than the width of the tablet screen. Find the length and width of the screen. Round to 1 decimal place. Show all work.
Answer:
Length = 6.1 inches and Width = 3.4 inches
Step-by-step explanation:
We are told that the diagonal measures 7 inches.
We are also told that the length of the screen is 2.7 inches more than the width.
Let the length be L and width be W.
Thus, L = W + 2.7
Now, since length = W + 2.7 and width = W and diagonal = 7 inches, we can use pythagoras theorem to solve.
Thus;
W² + (W + 2.7)² = 7²
W² + W² + 5.4W + 7.29 = 49
2W² + 5.4W - 41.71 = 0
Using quadratic formula, we have;
W = [-5.4 ± √(5.4² - 4(2 × -41.71))]/(2 × 2)
W = [-5.4 ± √(362.84)]/4
W = -5.4/4 ± 19.05/4
W = (-1.35 + 4.7625) or (-1.35 - 4.7625)
W ≈ 3.4 inches or -6.1
W cannot be negative, thus, W = 3.4 inches
From earlier, we saw that L = W + 2.7
Thus,L = 3.4 + 2.7 = 6.1 inches
So, Length = 6.1 inches and Width = 3.4 inches
21 less than tree fifths of a number
Which table represents y as a function of x?
Look at the image! Pls hurry! Due in 15 mins!
What is 3 times 6 tenths?
Answer:
1.8
Step-by-step explanation:
3 * 0.6 = 1.8
A museum sells postcards of famous paintings. The postcards must be the same shape as the painting.
Postcard C is the same shape as the painting because they are in the same proportion.
What is the similarity law?It is defined as the law to prove that the two figures have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
It is given that:
A museum sells postcards of famous paintings.
Applying similarity law that states: The ratio of the corresponding sides is in the same proportions.
In poster A:
5/30.25 = 5/25.25
1/6.05 = 1/5.05
In the poster B:
8/30.25 = 4/25.25
1/3.78 = 1/6.312
In poster C:
6.05/30.25 = 5.05/25.25
1/5 = 1/5 (they are in the same proportion)
Thus, postcard C is the same shape as the painting because they are in the same proportion.
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In circle O shown below, the endpoints of the
diameter are (-2, 4) and (3, 1). What is the
length of the radius to the nearest tenth?
Answer:
2.9 units
Step-by-step explanation:
Length of the radius = ½ of the distance between the two endpoints
Distance between (-2, 4) and (3, 1) using the formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] (-2, 4) = (x_1, y_1) [/tex]
[tex] (3, 1) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(3 - (-2))^2 + (1 - 4)^2} [/tex]
[tex] d = \sqrt{(5)^2 + (-3)^2} [/tex]
[tex] d = \sqrt{25 + 9} = \sqrt{34} [/tex]
[tex] d = 5.8 [/tex]
Length of radius = ½ of 5.8 = 2.9 units.
Write the first 4 terms of the sequence defined by the rule f(n) = 3n + 1.
Assume that the domain of the function is the set of whole numbers
greater than 0.
Answer:
Step-by-step explanation:
First of all, your question is very clear. Excluding 0 is a needed restriction.
f(1) = 3*1 + 1 = 3 + 1 = 4
f(2) =3*2 + 1 = 6 + 1 = 7
f(3) = 3*3 + 1 = 9 + 1 = 10
f(4) = 4*3 + 1 = 12 + 1 = 13
4,7,10,13
Notice that you are just adding 3 to the previous term.
Which of the following fractions converts to a terminating decimal greater than one?
1/4
13/11
4/3
7/2
Answer:
7/2
Step-by-step explanation:
7/2= 3.5 so it is terminating
Area can be defined as the number of cubic units it takes to fill the inside of a
polygon.
•True
•False
Answer:
False
Step-by-step explanation:
Area is the number of square units it tales to fill the inside of a polygon.
0.40 ___0.04 Please answer only if you are 100 percent sure a c =
Step-by-step explanation:
0.40 ___0.04
We are given with two decimal numbers. Compare the numbers and complete the blank by < or > or =
To compare the decimals , compare each digit from left to right
0 is equal to 0
4 is greater than 0
so we can say 0.40 is greater than 0.04
0.40 > 0.04
Both decimal numbers are not equal
Answer:
0.40 > 0.04
De acordo com o estudo da equação do 1o grau, determine o valor de x que satisfaz a equação abaixo ?
2(x + 6) + 4 = 12x - 6
Answer:
11/5
Step-by-step explanation:
2x+12+4-12x+6
-10x+22
x=22/10
x= 11/5
22/5+12+4=123/5-6
102/5=123/5-30/5
102/5=97/5
102/5-97/5
5/5
1
Using the slope formula, find the slope of the line through the given points.
(8,-6) and (1, -6)
Answer:
m = 0 or slope = 0
Step-by-step explanation:
7. (7.36) Batman wants to buy a new belt that cost
$211 but he only has $112.45. How much more
money does he need to buy the belt?
Answer:
$98.55
Step-by-step explanation:
Answer:
he has to pay 108.55
Step-by-step explanation:
Let g(x) = 3x + 7 and h(x) = x + 8.
(hog)(x)
Step-by-step explanation:
(hog)(x) = h(g(x))
= h(3x + 7)
h(x) = x + 8
h(3x + 7) = 3x + 7 + 8
h(3x + 7) = 3x + 15
(hog)(x) = 3x + 15
I need help with this question
Answer: B
Step-by-step explanation:
To find r, we need to use the formula to find slope. The formula is [tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]. Since we are given the coordinates and slope, we can plug them into the formula and solve for r.
[tex]\frac{2}{3} =\frac{3-5 }{r-4}[/tex] [multiply both sides by r-4]
[tex]\frac{2r-8}{3}=3-5[/tex] [subtract]
[tex]\frac{2r-8}{3}=-2[/tex] [multiply both sides by 3]
[tex]2r-8=-6[/tex] [add both sides by 8]
[tex]2r=2[/tex] [divide both sides by 2]
[tex]r=1[/tex]
Now that we found that r=1, we know that the answer is B.
n + 8 < 13; n = 4
What is the solution
n+8<13
n=4
If n=4, then n+8 is equal to 4+8.
4+8=12
12<13
True
hope it helps!
Answer:
12 < 13
Step-by-step explanation:
n = 4
n + 8 < 13
4 + 8 < 13
12 < 13
Is the 0.45 square root greater or lesser than 0.229
Answer:
0.45 is more
Step-by-step explanation:
:)
The square root of the number is √0.45 = 0.670 is greater than 0.229
Given data ,
Let the first number be represented as p
where the value of p = 0.45
Let the second number be represented as q
where q = 0.229
Now , the square root of the number is expressed as
A = √p
The radical form of a number refers to expressing a number using a radical symbol (√) to represent a root.
It is used to express the roots present in the number.
So , A = √0.45
On simplifying , we get
A = 0.670
And , the value of A > q
So , 0.670 > 0.229
Hence , the square root is A = √0.45 = 0.670
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A certain country has 266.76 million acres of forest. Every year, the country loses 3.51 million acres of forest mainly due to deforestation for farming purposes. If this situation continues at this pace, how many years later will the country have only 91.26 million acres of forest left?
After _____
years, this country would have 91.26 million acres of forest left.
Answer:
50 Years
Step-by-step explanation:
175.5 million (The difference) divided by 3.51 million equals 50.
what is the product of 38x67
Answer:
2546
Hope this helps
Which of the following is a reason why historians may want to consider opinions as well as facts reported by a source?
A.
A source that historians trust is likely to have true opinions.
B.
The opinions may provide clues to the source's feelings and possible bias.
C.
Examining opinions will reveal whether it is a primary or secondary source.
D.
The opinions will reveal the identity of the source.
Answer:
The answer is B
Step-by-step explanation:
Primary sources are used most by historians but they also consider the opinions. Historians must think of the political views, and feelings. This is called subjective data. It can help identify possible bias within the facts or beliefs.
Hope this helps!
blank divided by ( blank +blank ) =1
Answer:
3 divided by (1+2)=1
Step-by-step explanation:
bc u do parthensis first so 1+2 is 3 therfore if u divide 3 by 3 gives u one
Answer and I will give you brainiliest
MATH
Answer:
Increase, Decrease
Step-by-step explanation:
1. -4+(-5) *
2. -8-(-2) *
3. -8-(4) *
4. -5+(-9) *
Answer:
1. -9
2. -6
3. -4
4. -14
Step-by-step explanation:
if you add a negative and a negative it is still a negative. when you have a number minus a negative, it can be positive or a negative. you change the -(- to a + this is what I call chop slash. then you do -8 + 2 = -6 because you are at -8 and then go to the right of the number line 2 spaces. numbers 1 and 4 have the same rules and numbers 2 and 3 have the same rules.
What type of angle measures 32
Answer:
an acute angle
Step-by-step explanation:
acute angles measure 0-89 degrees
Answer:
acute angle
hope it helps;)
in the early spring the trout at big blue Lake Swim at a deph of 30 feet below sea level when the lake warms up in the summer the trout with 20 feet deeper than that at what position relative to sea-level do the trout swim in the summer?
Answer:
-50 feet
Step-by-step explanation:
The trout is swimming 30 ft below sea level,if it were above sea level it would be positive but since its below it is negative. It then swims 20 feet lower so it would be -50 as a short cut you can use in problems like this one is to ignore the sign's and add it regularly then add the sign after the equation is done.
Answer:
-50 is the answer
Step-by-step explanation:
one positive number is 4 times another number. the difference between the two numbers is 129. find the numbers
Answer: The numbers are 172 and 43
Step-by-step explanation:
We will represent the numbers by x and y
where x is the positive number and y is the other number.
So x the positive number is 4 times the other number which could be represented by the equation x = 4y
And the difference between x and y is 129 which could also be represented by the equation x - y = 129
Now use both equations to solve for y and x
x = 4y
x-y = 129 Substitute the value for x into the second equation
4y - y = 129
3y = 129
y = 43 so we know that y is 43 and x is 4 times it
x = 4(43)
x= 172
So the numbers are 172 and 43 .
Check:
172 - 43 = 129
129 = 129
2(x + 6) + 4 = 12x - 6
Answer:
exact form:
[tex]x=\frac{11}{5}[/tex]
Decimal:
[tex]x=2.2[/tex]
Mixed Number Form:
[tex]x=2\frac{1}{5}[/tex]
Step-by-step explanation:
simplify [tex]2(x + 6) + 4[/tex]
[tex]2(x + 6) + 4 = 12x - 6[/tex]
Move all terms containing x to the left side of the equation.
[tex]-10x+1=-6[/tex]
Move all terms not containing x to the right side of the equation.
[tex]-10x=-22[/tex]
Divide each term by − 10 and simplify.
[tex]x=\frac{11}{5}[/tex]
the result can be shown in multiple forms
Exact Form: [tex]x=\frac{11}{5}[/tex]
Decimal Form: [tex]x=2.2[/tex]
and Mixed Number Form: [tex]x=2\frac{1}{5}[/tex]
Find the distance between the points (2,4) and (6,1).
Answer:
1
Step-by-step explanation:2 and 6 are the first ones in each set so 6-2 is 4.4 and 1 are the second ones in each set 1-4 is -3 4+-3 is 1.
if 9 eggs makes 3 omelets, 6 eggs make 2 omelets, and 3 eggs make 1 omelet, how many omelets does 18 eggs make
Answer:
you can make 6 omelets
Step-by-step explanation:
18/3 = 6
Which expression is equivalent to 3(5x-4)
An expression that is equivalent to 3(5x-4) is: D. 15x-12.
What is the distribution property of multiplication?The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.
Mathematically, the distributive property of multiplication is given by this expression:
a(b + c) = ab + ac.
By applying the distributive property of multiplication to the given expression, we have:
3(5x - 4) = 3(5x) - 3(4)
3(5x - 4) = 15x - 12
Therefore, the correct answer option is: D.) 15x - 12.
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Complete Question:
Which expression is equivalent to 3(5x-4)
A 8x-4
B 8x-1
C 15x-4
D 15x-12
