hi guys I need help in this problem can someone please help me.
y=30 x=60 that should be the answer sorry if it isnt
What is the surface area of a sphere with radius 3?
O A. 367 units2
O B. 1877 units
O C. 37 units2
O D. 91 units2
The solution is, SA =36π unit² is the surface area of the sphere which is correct answer Option(A).
What is surface area of the sphere?We know that, The formula for the surface area of a sphere of radius
R is 4πR².
here, we have,
According to question, we have the radius of sphere as 3 units.
So, surface area of a sphere
⇒4πR²
⇒4π(3)²
⇒36π
The surface area of a sphere is given by
SA = 4 pi r^2
SA = 4 * pi * 3^2
SA =36 pi
SA =113.10
Hence, the surface area of the sphere is 36π unit².
Learn more about surface area of a sphere here:
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Francisca has 40 paperbacks in her bookcase. This is 32% of the books in the bookcase. How many books are in Francisca's bookcase? Use an equation with a variable. Show your work
The total number of books that are in Francisca's bookcase is 125 books.
Let the total number of books be B.
Given the following data:
Number of paperbacks = 40.
Percentage = 32%.
How to calculate the total number of books.In this exercise, you're required to determine the total number of books that are in Francisca's bookcase if there she has 40 paperbacks in her bookcase. Thus, we would write a mathematical expression for the word problem.
Translating the word problem into an algebraic expression, we have;
[tex]\frac{32}{100} \times T=40\\\\0.32T=40\\\\T=\frac{40}{0.32}[/tex]
T = 125 books.
Read more on word problems here: brainly.com/question/13170908
The answer has to be in scientific notation.
1.7 x 10^4/2 x 10^-2
Answer:
Write these in Scientific Notation:
0.0002
2 x 10-4
20 x 10-4
2 x 104
20 x 104
2.) 0.000049
49 x 106
4.9 x 105
49 x 10-6
4.9 x 10-5
3.) 0.000000000845
84.5 x 1011
8.45 x 1010
8.45 x 10-10
84.5 x 10-11
4.) 0.000000000008
80 x 10-13
8 x 10-12
80 x 1013
8 x 1012
5.) 0.00000127
1.27 x 106
12.7 x 107
12.7 x 10-7
1.27 x 10-6
6.) 0.0000000000752
7.52 x 10-11
75.2 x 10-12
7.52 x 1011
75.2 x 1012
7.) 0.000000301
30.1 x 10-8
3.01 x 10-7
3.01 x 107
30.1 x 108
8.) 0.00000000633
63.3 x 1010
6.33 x 109
6.33 x 10-9
63.3 x 10-10
9.) 0.00000009
9 x 10-8
90 x 10-9
9 x 108
90 x 109
10.) 0.0000536
5.36 x 105
53.6 x 106
53.6 x 10-6
5.36 x 10-5
11.) Rewrite these in standard notation.
6 x 10-6
0.0006
0.00006
0.000006
0.0000006
12.) 4 x 10-5
0.00004
0.000004
0.0000004
400,000
13.) 1.8 x 10-11
0.000000000018
0.00000000018
180,000,000,000
1,800,000,000,000
14.) 1.7 x 10-4
17,000
170,000
0.00017
0.000017
15.) 7.6 x 10-10
0.00000076
0.000000076
0.0000000076
0.00000000076
16.) 7.79 x 10-12
0.0000000000779
0.00000000000779
779,000,000,000,000
7,790,000,000,000,000
17.) 1.98 x 10-8
19,800,000,000
198,000,000
What is the measure of the base in the triangle below?
A. 11
B. 45
C. 25
D. 30
Step-by-step explanation:
AC+CB+BA=180
2x+23+3x-8+4x+1=180
9x+16=180
9x=180-16
9x=164
x=164/9
x=18.2
Point B has coordinates (5,2). The x-coordinate of point A is 1. The distance between point A and point B is 5 units. What are the possible coordinates of point A?
Using Distance formula ,
[tex]\bold{d(AB) = \sqrt{ (x_{2} - x_{1}) {}^{2} + ( y_{2} - y_{1}) {}^{2} } }\\ \\\bold{5 = \sqrt{(5 - 1) {}^{2} + (2 - y) {}^{2} }} \\ \\\bold\blue{ squaring \: both \: sides\:,} \\ \\\bold{ 25 = (5 - 1) {}^{2} + (2 - y) {}^{2} }\\ \\\bold{ 25 = (4) {}^{2} + (4 + y {}^{2} - 4y)}\\ \\ \bold{25 = 16 + y {}^{2} - 4y + 4}\\ \\ \bold{25 = y {}^{2} - 4y + 20}\\ \\\bold{ y {}^{2} - 4y - 5 = 0}\\ \\\bold{ y {}^{2} - 5y + y - 5 = 0} \\\\\bold{ y(y - 5) + 1(y - 5) = 0}\\ \\\bold{ (y + 1)(y - 5) = 0 }\\\\\bold{ y = - 1 \: or \: y = + 5}[/tex]
therefore ,
possible coordinates of A are either ( 1 , -1 ) or ( 1 , 5 )
hope helpful~
4/6 X + 10/4 =-6/8x-10
Given :
[tex]\: {\qquad \sf \dfrac{4}{6} x + \dfrac{10}{4} = - \dfrac{6}{8}x - 10 }[/tex]
⠀
To Find :
The value of x.⠀
Solution :
[tex] {\qquad \sf \dashrightarrow \: \dfrac{4}{6} x + \dfrac{10}{4} = - \dfrac{6}{8}x - 10 }[/tex]
⠀
Subtracting [tex] \sf \: \dfrac{10}{4} [/tex] from both sides :
[tex] {\qquad \sf \dashrightarrow \: \dfrac{4}{6} x \: \: \cancel{+ \dfrac{10}{4}} \: \: \cancel{- \dfrac{10}{4}} = - \dfrac{6}{8}x - 10 - \dfrac{10}{4} }[/tex]
⠀
Adding [tex] \sf \dfrac{6}{8} x[/tex] to both sides :
[tex]{\qquad \sf \dashrightarrow \: \dfrac{4}{6} x + \dfrac{6}{8}x = \cancel{- \dfrac{6}{8}x } \: \: \cancel {+ \: \dfrac{6}{8}x} - 10 - \dfrac{10}{4} }[/tex]
[tex]{\qquad \sf \dashrightarrow \dfrac{4}{6} x + \dfrac{6}{8}x = - 10 - \dfrac{10}{4}}[/tex]
⠀
Adding the like terms :
[tex]{\qquad \sf \dashrightarrow \dfrac{32x + 36x}{24} = \dfrac{ - 40 - 10}{4} }[/tex]
[tex]{\qquad \sf \dashrightarrow \dfrac{68x}{24} = \dfrac{ - 50}{4} }[/tex]
[tex]{\qquad \sf \dashrightarrow \dfrac{34x}{12} = \dfrac{ - 25}{2} }[/tex]
⠀
By doing cross multiplication we get :
[tex]{\qquad \sf \dashrightarrow {68x} = - 300 }[/tex]
[tex]{\qquad \sf \dashrightarrow {x} = \dfrac{ - 300}{68} }[/tex]
[tex]{\qquad \bf \dashrightarrow {x} = \dfrac{ - 75}{17} }[/tex]
Translate the sentence into an equationTwice the difference of a number and 2 equals 8
Answer:
(x-2)2=8
Step-by-step explanation:
Three hundred high school seniors were surveyed about their intended college majors. The results are displayed in the Venn Diagram below: A Venn Diagram titled College Majors with two circles labeled Math and Science. In the math portion is 120. In the intersection is ??. In the Science portion is 50. The area outside the two circles is labeled 100. If a student is randomly selected from the group, what is the probability that they are majoring in both math and science? Round your answer to the nearest whole percent. 10% 17% 33% 40%.
The probability of selecting one student who is both from math and science is 1/10
There are the total number of student = 300
Out of which,the number of students who are only in Maths = 120
The number of students who are only in Science = 50 and the students who are not from any subject = 100
What is the formula for the total students?
Total no of students=science student+math students +none
Therefore,the number of student who are from both math and science = Total student - Math student (only) - science student (only) - None
= 300 - 120 - 50 - 100
= 30
That is, there are 30 students who are both from science and math,
Thus, the probability of selecting one student who is both from math and science = 30/300 = 1/10
To learn more about the probability visit:
https://brainly.com/question/24756209
Does anyone know how to do this?
Answer:
-4
Step-by-step explanation:
what is an equation of a line that passes through the point (5,4) and is parallel to the line 6x-5y=15
Answer: y-4=1.2(x-5)
Step-by-step explanation:
Which is a solution to x + 3 = 2x - 8? 10 11 12
Answer:
x=11
Step-by-step explanation:
Subtract 3 from both sides
x+3=2x-8
x+3-3 =2x-8-3
Then simplify it
x=2x-11
Again, subtract 3 from both sides
x-2x=2x-11-2x
Simplify
-x=-11
Divide both sides and simplify and then you get x=11
Round to the nearest tenth, (need work of trig) pleas
solve the inequality for 1>x+6 .
Answer:
-5 > x
Explanation:
To do this, you have to use the inverse operations. Subtract 6 from each side. That equals -5. Bring everything down and that is your answer!
A bus driver gets paid $38,871 a year, if he works 42 weeks a year.
How much does he earn every week ?
How many weeks will it take him to earn $5500 ?
What is the bus driver’s hourly wage if he works 40 hours a week?
Answer:
he mask 925.5 dollars every week
Answer:
$1295.70 a week
4 weeks
???
Step-by-step explanation:
hope this helps
are these quadrilaterals
Answer:
yes
Step-by-step explanation:
as you can see if you count them they are
Answer:
The shape on the very left of the picture is not a quadrilateral. However, the three other shapes are quadrilaterals.
Step-by-step explanation:
A shape is a quadrilateral if it has four sides and four angles. The shape on the left has five sides and five angles, therefore, not a quadrilateral.
can someone help ^^; im not good with math
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2 l plus 2 w equals 16, where l represents the length of the rectangle and w represents the width of the rectangle.
Which value is possible for the length of the rectangle?
7 in.
8 in.
9 in.
10 in.
If 3 over 4 ton of pebbles covers 4 over 5 of a garden, how many tons of pebbles are required to cover the entire garden?
3 over 5 ton
15 over 16 ton
1 and 1 over 3 tons
1 and 11 over 20 tons
I am in middle school, I just clicked the wrong button.
Answer:
[tex]\frac{15}{16}[/tex] ton of pebbles will cover the whole garden.
Step-by-step explanation:
So [tex]\frac{3}{4}[/tex] ton covers [tex]\frac{4}{5}[/tex] of the garden.
Let x be pebbles required to cover the entire garden, we can set up a proportion:
[tex]\frac{\frac{3}{4} }{\frac{4}{5} } =\frac{x}{1}[/tex]
[tex]\frac{3}{4}[/tex] / [tex]\frac{4}{5}[/tex] = x
[tex]\frac{3}{4}[/tex] * [tex]\frac{5}{4}[/tex] = x
[tex]\frac{15}{16}[/tex] = x
[tex]\frac{15}{16}[/tex] ton of pebbles will cover the whole garden.
answer for a lot of points
Answer:
7. uses like or as to compare two things
8. personification - in this case, the tropical storm is being given the human quality of sleeping
Hope this helps!
A group of two friends each receive 612s of a pound of candy how much candy did they received total
Answer:
1224
Step-by-step explanation:
group of 2 friends each receive 612
so you do 612 x 2 = 1224
James bought x pounds of apples for $1.79 per pound and y pounds of bananas for $1.29 per pound. The expression shown below represents the total amount of dollars that James paid. Select the part or parts of the expression that represent the total cost in dollars of the bananas.
DOLLARS CENTS DOLLARS CENTS
find the measure of arc ABD
Answer: 245 degrees
Step-by-step explanation:
HELP PLEASE
What is the volume of the composite figure
Solve 18>12+x. Graph the solution.
Answer:
x < 6
Step-by-step explanation:
Step 1: Subtract 12 from both sides.
[tex]x+12-12 < 18-12[/tex] [tex]x < 6[/tex]Thus, the answer is x < 6.
What is the equation
Answer:
2y = 8
Step-by-step explanation:
an equation contains an = symbol.
the others are inequalities.
also, from looking at the question, you can assume that it is 2y = 8 because the other to are the same type of inequality
I just need the answers to 3.) and 6.) please show your work if you want brainlyist
Find the area of 3.) and 6.)
Answer:
3) 48 units²
6) 46 units²
Step-by-step explanation:
Question 3
This shape is a parallelogram with base of 8 units and height of 6 units.
Area of a parallelogram = base × height
= 8 × 6
= 48 units²
Question 6
This shape is a quadrilateral. It is made up of 3 triangles and a rectangle (see attached image for how to divide the quadrilateral)
Area of rectangle = width × length
= 4 × 6
= 24 units²
Area of a triangle = 1/2 × base × height
Triangle 1: 1/2 × 2 × 4 = 4 units²
Triangle 2: 1/2 × 6 × 2 = 6 units²
Triangle 3: 1/2 × 4 × 6 = 12 units²
Total area = 24 + 4 + 6 + 12 = 46 units²
One box of cereal costs $3. How many boxes can you buy with $15?
Answer:
5 boxes
Step-by-step explanation:
Divide 15 by 3 and you'll get your answer
Hope that helps!
Step-by-step explanation:
1 = $3
x = $15
crossmultiply
3x = 15
x = 15/3
x = 5 boxes of cereal
if this helped pls give brainliest
Find the area. Use 3.14 for pi and round your answer
Answer:
329.9 ft^2
Step-by-step explanation:
area = π · r^2
diameter = 2r so radius = 10.25
area = 3.14 · 10.25^2
10.25^2 = 105.06
3.14 · 105.06 = 329.9 ft^2
Given :-
diameter = 20.5 ftπ = 3.14[tex] \\ \\ [/tex]
To find :-
Area[tex] \\ \\ [/tex]
Solution:
To find area first we should know value of radius.
Diameter is given , and from diameter we can find value of radius.
[tex] \\ [/tex]
We know :-
[tex] \bf \ddag\boxed{\rm Diameter =2 \: radius } \bf \ddag[/tex]
By using this formula we can find radius.
[tex] \\ \\ [/tex]
[tex] \hookrightarrow\sf Diameter =2 \: radius [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf 20.5 =2 \: radius [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf \dfrac{205}{10} =2 \: radius [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf \cancel\dfrac{205}{10} =2 \: radius [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf \dfrac{41}{2} =2 \: radius [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf2 \: radius = \dfrac{41}{2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf \: radius = \dfrac{41}{2 \times 2} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\sf \: radius = \dfrac{41}{4} [/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow\bf \: radius = 10.25[/tex]
[tex] \\ \\ [/tex]
Now let's find Area
we know :-
[tex] \bf \ddag\boxed{\rm Area = \pi radius {}^{2} } \bf \ddag[/tex]
[tex] \\ \\ [/tex]
So:-
[tex] \\ [/tex]
[tex] \dashrightarrow \sf Area = \pi radius {}^{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \sf Area = \pi (10.5) {}^{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \sf Area = \pi \times 10.5 \times 10.5 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \sf Area = \pi \times 110.25 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \sf Area = 3.14 \times 110.25 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \bf Area =346.19~ {ft}^{2} \{approx\}\\[/tex]
The fraction 1/3,1/6,1/4 and 1/2 are to be arranged from the smallest to the largest.which is the correct order
I need help with these equations as well
Answer:
0=10
0= -5
Step-by-step explanation:
[tex]1. - 10 = - 14x + 14x[/tex]
cancel (-14) with (+14)
[tex] - 10 = 0[/tex]
so , The above equation has no solution .
-----------------------------------[tex](ii) \: 3(3 - x) + 5x = 2(x + 2) \\ \\ 9 - 3x + 5x = 2x + 4 \\ \\ 9 + 2x = 2x + 4 \\ \\ 2x - 2x = 4 - 9 \\ \\ 0 = - 5.[/tex]
The above equation has no solution .