Step-by-step explanation:
circumference of a circle
U = 2 x pi x r
what you know:
U = 13
rearrange and solve for r
U/(2 x pi) = r
Use the compass and ruler to construct the bisector of the angle given below.
Bisector of the angle is the line that divides the angle into two angles with the same measure. In the image attached, the bisector of the angle is represented by the green line.
The next steps show you how to construct the bisector of the angle from a ruler and a compass.
Draw an arc using the vertex of the angle (O) as the center;Mark the points A and B;Draw an arc using the point (A) as the center;Draw an arc, with the same radius, using the point (B) as the center. This arc should intersect the arc that you draw in the previous step. Draw a line connecting the point C to the vertex O.Finally, you have the bisector of the angle that is represented by the green line.
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What is the value of 6 r + 6 − 4 s , when r = 7 and s = 3 ?
Answer:
36
Step-by-step explanation:
6r + 6 - 4s
r = 7
s = 3
6(7) + 6 - 4(3)
42 + 6 - 12
(remember PEMDAS, adding/subtracting left to right)
48 - 12 = 36
therefore the answer is 36
hope this helps ! :)
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{6r + 6 - 4s}[/tex]
[tex]\large\text{If r = 7 & s = 3, then SUBSTITUTE it into the EQUATION}[/tex]
[tex]\large\textsf{6(\underline{7}) + 6 - 4(\underline{3})}[/tex]
[tex]\large\textsf{6(7) = \bf 42}[/tex]
[tex]\large\textsf{\bf 42}\large\textsf{ + 6 - 4(3)}[/tex]
[tex]\large\textsf{42 + 6 = \bf 48}[/tex]
[tex]\large\text{\bf 48}\large\text{ - 4(3)}[/tex]
[tex]\large\textsf{4(3) = \bf 12}[/tex]
[tex]\large\textsf{48 - \bf 12}[/tex]
[tex]\large\textsf{= \bf 36}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \textsf{\huge \bf 36}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
NEED HELP NOW PLZZZZZZ HELP
Use the figure to find the measures of the numbered angles.
EXPLAIN YOUR REASONING
Answer:
1 = 61°
2 = 119°
3 = 61°
4 = 119°
5 = 119°
6 = 61°
7 = 119°
Step-by-step explanation:
∠1 and 61° are corresponding angles, therefore, they would be the same angle; ∠1 = 61°.
∠2 and 61° are supplementary angles, therefore, ∠2 would be 119°.
∠3 and ∠1 are vertical angles, therefore, ∠3 = 61°.
∠4 and ∠3 are supplementary angles, therefore, ∠4 would be 119°.
∠5 and 61° are supplementary angles, therefore, ∠5 would be 119°.
∠6 and ∠1 are alternate exterior angles, therefore, ∠6 would be 61°.
∠7 and ∠6 are supplementary angles, therefore, ∠7 would be 119°.
The top rail of a boat is 4 ft out of the water. If the water rises 3 ft, how far out of
the water is the top rail of the boat?
Answer:
Position of top rail of boat after increasing water level = 1 feet out of water
Step-by-step explanation:
Given:
Position of top rail of boat = 4 feet out of the water
Water level increases = 3 feet
Find:
Position of top rail of boat after increasing water level
Computation:
Position of top rail of boat after increasing water level = Position of top rail of boat - Water level increases
Position of top rail of boat after increasing water level = 4 - 3
Position of top rail of boat after increasing water level = 1 feet out of water
question 12 helllllllppppp plazzzzzzz
Answer:
Step-by-step explanation:
It says Renita takes minutes to ride half a mile.
She leaves 30 minutes before school.
Total distance is
[tex]2\frac{1}{2} = \frac{1}{2}+ \frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2}\\[/tex]
In
[tex]2\frac{1}{2} \ there \ are \ 5 \ times \ \frac{1}{2} \ mile .\\[/tex]
Therefore total time to reach school will be 5 x 5 = 25minutes.
Since she leaves 30minutes before school. She will reach 5minutes early before school.
(5.6x - 4) + (16 - 2.1x)
What is the sum of this expression?
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{(5.6x - 4) + (16 - 2.1x)}[/tex]
[tex]\large\text{DROP the PARENTHESES}[/tex]
[tex]\large\textsf{5.6x - 4 + 16 - 2.1x}[/tex]
[tex]\large\text{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{5.6x - 2.1x - 4 + 16}[/tex]
[tex]\large\textsf{5.6x - 2.1x = \bf 3.5x}[/tex]
[tex]\large\textsf{-4 + 16 = \bf 12}[/tex]
[tex]\large\textsf{= \bf 3.5x + 12 }[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 3.5x + 12}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Write the opposite of the number. 10 over 7
Answer:
The multiplicative inverse of 10/7 is 7/10.
Step-by-step explanation:
have a good day :)
Will 4 - 6 be a negative or positive answer?
Negative
Positive
Answer:
it will be negative
Step-by-step explanation:
it will be -2 because 6 cannot be taken out of 4, when looking on a number line if you move your point six points to the left (because it is minus six) of 4 you will end up at negative two. Any equation that is subtracting a number bigger than itself will be negative.
Hope this helps :)
A triangular prism on top of a rectangular prism. The rectangular prism has a length of 2, width of 2, and height of 2. The triangular prism has rectangular sides that are 5 by 2.8, 5 by 2, and 5 by 2. The 2 triangular sides have a base of 2 and height of 2. The face that is shared with the rectangular prism is . The area of each base of the rectangular prism is square units. The lateral area (excluding the shared face) for the rectangular prism is square units. The total surface area of the composite figure will be square units.
Answer:
1.
2(5)
2.
10
3.
18
4.
66
Step-by-step explanation:
its right on edge
Answer? ................,,,,,,
Step-by-step explanation:
what is the formula for the whole surface area of a sphere ?
[tex]a = 4 \times \pi \times {r}^{2} [/tex]
that would give us the whole surface area all 360 degrees or 2×pi arc length all around the sphere.
but we don't need all 360 degrees. we only need the Theta'th (that is the specified angle) part.
in radians the arc length of that angle segment on the "equator" of the sphere
s = r×Theta
and the whole equator circumference is
c = 2×pi×r
so, the Theta'th part is then
r×Theta / 2×pi×r = Theta / 2×pi
we only need that part of the whole sphere surface area, so the formula would look like
[tex]lune = theta \times 4 \times \pi \times {r}^{2} \div (2 \times \pi)[/tex]
=>
[tex]lune = theta \times 2 \times {r}^{2} [/tex]
Expression A: (2k + 8) + (5k + 10)
Expression B: 76 + 18
Are the two expressions equivalent?
A. No, because for k = 3, the value of Expression A is 29 and the value of Expression B is 39.
B. Yes, because for k= 3, the value of Expression A is 75 and the value of Expression B is 75.
C. Yes, because for k= 3, the value of Expression A is 39 and the value of Expression B is 39.
D. No, because for k= 3, the value of Expression A is 39 and the value of Expression B is 75.
k = 3
Expression A:
[tex](2k + 8) + (5k + 10) = 2k + 8 + 5k + 10 = 7k + 18 = 7*3 + 18 = 21 + 18 = 39[/tex]
Expression B:
[tex]76 + 18= 94[/tex]
What is the surface area of the net? *inches squared*
9514 1404 393
Answer:
75 in^2
Step-by-step explanation:
The central vertical rectangle (including "ears") has dimensions
3 in wide by (9+2+2) = 13 in tall
Its area is
A = LW = (3 in)(13 in) = 39 in^2
__
The two rectangles either side of that have dimensions 2 in by 9 in. The area of each of them is
A = LW = (2 in)(9 in) = 18 in^2
__
The total net area is the sum of the areas of the parts:
left rectangle + central rectangle + right rectangle
= 18 in^2 + 39 in^2 + 18 in^2 = 75 in^2 . . . . surface area of the net
What angle mesuare is better
Answer:
Angle A is the greatest.
Step-by-step explanation:
Math , pleaaaase
You are given the results of measurements of sizes of a crushed stone for road
construction. The technical requirement is the following: The mean size of the stones must be in the interval [33-36] mm and standard deviation must be smaller than 6 mm. Will this batch pass the technical control?
Answer:
The standard deviation is above 6 mm, which means that this batch does not pass the technical control.
Step-by-step explanation:
Mean of the batch:
The mean of the batch is the sum of all values divided by the number of items. So
[tex]M = \frac{31+32+38+34+45+41+24}{7} = 35[/tex]
Mean in the desired interval.
Standard deviation:
Square root of the sum of the difference squared between each term and the mean, divided by the number of itens. So
[tex]S = \sqrt{\frac{(31-35)^2+(32-35)^2+(38-35)^2+(34-35)^2+(45-35)^2+(41-35)^2+(24-35)^2}{7}} = 6.46[/tex]
The standard deviation is above 6 mm, which means that this batch does not pass the technical control.
I cried about this question.Pease help I will do anything Iv'e been crying about this question
Answer:
Step-by-step explanation:
Which is not a correct way to rewrite this expression using the distributive
property?
(3x2 + 4x - 7)(x - 2)
A. (3x)(x - 2) + (4x)(x - 2) + (-7)(x-2)
B. (3x2 + 4x - 7)(x) + (3x2 + 4x - 7)(-2)
C. (3x2 + 4x - 7)(x) + (3x2 + 4x - 7)(x - 2)
D. (3x)(x) + (3x)(-2) + (4x)(x) + (4x)(-2) + (-7)(x) + (-7)(-2)
HELP ASAP
Answer:
C. (3x2 + 4x - 7)(x) + (3x2 + 4x - 7)(x - 2)
Step-by-step explanation:
17. Determine which point lies in the solution of the system: y< -1x+2, y ≥ 3x - 4
a. (3,0)
b. (5,2)
c. (-3,0)
d. (1,-6)
Answer:
I believe the answer is C) (-3,0)
Step-by-step explanation:
It's the only point where both equations in the system have it.
An equation that is true for all real numbers for which both sides are defined is called a(n)
Answer:
Identity- An equation that is true for all real numbers for which both sides are defined is called a(n) Identity
Step-by-step explanation:
It called identity. Identity equations are conditions that are genuine regardless of what esteem is connected to for the variable. On the off chance that you rearrange a personality condition.
What is real numbers?Real numbers are just the numbers on the number line. It is the easiest way to think of them. Basically, if you can put the number in question on an infinitely big number line, then it is a real number.
It called identity. Identity equations are conditions that are genuine regardless of what esteem is connected to for the variable. On the off chance that you rearrange a personality condition.
An identity is a balance that remains constant paying little respect to the qualities decided for its variables. They are utilized as a part of streamlining or reworking polynomial math articulations. By definition, the two sides of a character are tradable, so we can supplant one with the other whenever.
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Please hel p me. !!!!!!!
Answer:
The median of this data range would be 54.5.
Step-by-step explanation:
In statistics and probability theory, the median is the data value dividing the larger half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value. To find the median, place the numbers in value order and find the middle number. In this case, from smallest to greatest, the data list would be 36, 43, 50, 50, 51, 58, 59, 60, 69, 73. If there are an even number of individual data points, you need to find the two values that are located in the middle of the data plot, add them together, and divide their sum by two to get the median. Because there are 10 individual data values, that means you need to use the 5th and 6th values to find the median, which is 51 and 58. [tex]\frac{51+58}{2}[/tex] = [tex]\frac{109}{2}[/tex] = 54.5, so that would be the median of this data set.
Choice 3: Kyra makes $700.00 a week in her job. She did such a great job this week that she is going to get a 15% raise next week. How much will her raise be?
Please help and this is a Percentage problem :)
Answer:
15/100 x 700 = 105
Step-by-step explanation:
Consider 15% as 15 because you always consider a percent out of 100, you can remember by the word 'cent' meaning 100.
You need to FIRST find out what the percentage is OF whenever coming across these types of problems.
And the keyword 'of' means to multiply.
What must x equal if line a is parallel to line b?
•what type of angles?
•value of x?
Answer:
Corresponding angles
[tex](2x + 35) \degree = 103\degree \\ 2x = (103 - 35)\degree \\ 2x = 68\degree \\ x = 34\degree[/tex]
Which equation has the same solutions as 2x^2+x-3 = 0?
1. (2x - 1)(x + 3) = 0
2. (2x + 1)(-3) = 0
3. (2x - 3)(x+1)=0
4. (2x+3)(x - 1) = 0
Answer:
given solution
[tex]2x^2+x-3 = 0[/tex]
first one
[tex] {2x}^{2} - 6x - x - 3 = 0[/tex]
second one
[tex] - 6x - 3 = 0[/tex]
third one
[tex] {2x}^{2} + 2x - 3x - 3 = 0[/tex]
fourth one
[tex] {2x}^{2} + 3x - 2x - 3 = 0[/tex]
Step-by-step explanation:
fourth answer is suite for this given solution
answer is 4. (2x+3)(x - 1) = 0
good luck
What is the 5th equivalent fraction to 1/3?
SOLVE TWO
OF THESE QUESTIONS
PLS DUE RN
WILL GIVE
BRAINLIST
Answer: 52.7 Fº
and the 2nd question isn't visible in the photo
Question 9 (1 point)
Solve for X
K
50°
110°
P
R
w
30x
Answer:
x = 3
Step-by-step explanation:
Recall: Opposite angles in an inscribed quadrilateral are supplementary.
Thus,
m<R = 180 - m<P
m<R = 180 - 110
m<R = 70°
Recall: measure of inscribed angle = half of the intercepted arc
Thus:
m<R = ½(arc KPQ)
70 = ½(50 + 30x)
Multiply both sides by 2
2*70 = 50 + 30x
140 = 50 + 30x
140 - 50 = 50 + 30x - 50
90 = 30x
90/30 = 30x/30
3 = x
x = 3
Give me a topic for my mathematical investigation.
There are a few you can choose from:
Statistics and probability
Geometry
Proofs
Triangles
Circles
Numerical sequences
Number Theory
etc.
Scientists once thought that life spontaneously arose from nonliving things. It took extensive experimentation and the invention of new technology to confirm the tenets that now make up the cell theory. Now, we don't even question that cells are the basic units of life and only come from preexisting cells. What technology had the biggest impact on the development of the cell theory?
centrifuge
electrophoresis
microscope
telescope
The technology had the biggest impact on the development of the cell theory is microscope. Hence, option C is correct.
What is cell?The fundamental units of all living organisms are cells. There are many billions of cells in the human body. They give the body structure, absorb nutrients from meals, turn those into energy and perform certain tasks. Additionally, cells have the ability to replicate themselves and contain the body's genetic material.
Each component of a cell has a different purpose. These components include organelles, which are specialized structures that carry out specific functions for the cell.
A cell's nucleus acts as its command center, giving instructions on how to develop, develop, divide, or die. The cell's genetic material, DNA (deoxyribonucleic acid), is also stored there. The envelope, which encircles the nucleus and divides it off from the rest of the cell, shields the DNA and serves as a barrier.
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Express the product of (2x– 1) and ( 1/2x -2/3)
as a trinomial in simplest form.
Answer:
Solution given:
the product of (2x– 1) and ( 1/2x -2/3)
:(2x-1)(½x-⅔)2x(½x-⅔)-1×(½x-⅔)x²-4/3 x-½x+⅔x²-½x-4/3+⅔x²-½x-[4-2]/3x²-½x-⅔ is a required answer.The product of the given binomials is x²-11x/6+2/3.
The given binomials are (2x– 1) and (x/2 -2/3).
We need to find the product of the given binomials.
How to multiply two binomials?The binomials are multiplied as:
Step 1: Multiply the first term of each binomial.
Step 2: Now multiply the outer term of each binomial.
Step 3: Once this is done, now multiply the inner terms of the binomials.
Step 4: Now the last terms are multiplied.
Now, (2x– 1) × (x/2 -2/3)
=2x × x/2 -1 × x/2 - 2x × 2/3 - 1 (-2/3)
=x²-x/2-4x/3+2/3
=x²+(-3x-8x)/6+2/3
=x²-11x/6+2/3
Therefore, the product of the given binomials is x²-11x/6+2/3.
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which of the following is equivalent (x+1)^2
Answer:
B. x^2 + 1
Step-by-step explanation:
Because squaring the value of 1 does not change its value, the equation would function the same way the original equation if x was the only value squared.