A simple impact crater on the moon has a diameter of 15 kilometers. A complex impact crater has
a radius of 30 kilometers. How much greater is the circumference of the complex impact crater than
the simple impact craters?
Answer:
141.3 km
Step-by-step explanation:
First crater has the radius (that is, half the diameter) of 7.5 km; the circumference of this crater is C = 2(pi)r, or 2(3.14)(7.5 km) = 47.1 km;
Second crater radius is C = 2(pi)(30 km) = 188.4 km
The circumference of the complex (larger) impact crater is
(188.4 - 47.1) km greater than the circumference of the simple (smaller) crater:
141.3 km
does anybody know the answer to this?
Answer:
C (136)
Step-by-step explanation:
The triangle is only rotated, the measure of <D doesn't change
I really need help with this! I'm having a bit of trouble understanding how to do this since the teacher kind of rushed on explaining things.
Answer:
For problem one:
a. 11
b. 3/11
c. 2/11
d. there are only 2 chips
e. 3/11
Find the equation of the parallel to the line 3x-2y=5 and passing through the midpoint of the line segment joining the points (-4,2) and (2,4).
Given:
The equation of parallel line is:
[tex]3x-2y=5[/tex]
The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).
To find:
The equation of required line.
Solution:
Midpoint of line segment joining the points (-4,2) and (2,4) is:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)[/tex]
[tex]Midpoint=\left(-1,3\right)[/tex]
It means the required line passes through the point (-1,3).
The slope of line [tex]Ax+By=C[/tex] is:
[tex]m=\dfrac{-A}{B}[/tex]
The given equation is:
[tex]3x-2y=5[/tex]
Here, A=3 and B=-2. So, the slope of the line is:
[tex]m=\dfrac{-3}{-2}[/tex]
[tex]m=1.5[/tex]
Slope of parallel lines are same. So, the slope of the required line is 1.5.
The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-3=1.5(x-(-1))[/tex]
[tex]y-3=1.5(x+1)[/tex]
[tex]y-3=1.5x+1.5[/tex]
Adding 3 on both sides, we get
[tex]y=1.5x+1.5+3[/tex]
[tex]y=1.5x+4.5[/tex]
Therefore, the equation of the required line is [tex]y=1.5x+4.5[/tex].
HELP ME PLS♀️‼️
What rational number subset(s) do 2, 5, 7, 9, 13 belong to??
Answer:
Natural numbers , whole numbers, Integers
Simplify the algebraic expression:
7(x + 3)20
Answer:
140x+420
Step-by-step explanation:
7(x+3)20
=140x+420
Answer:
14x+420
Step-by-step explanation:
7(x+3)(20)
=140x+420
Someone please please help and
Thanks so much
Below. What is m∠1?
m∠1 =
Given:
The figure of a triangle.
To find:
The measure of angle 1.
Solution:
Exterior angle theorem: In a triangle, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.
Using Exterior angle theorem, we get
[tex]101^\circ =31^\circ +m\angle 1[/tex]
[tex]101^\circ -31^\circ =m\angle 1[/tex]
[tex]70^\circ =m\angle 1[/tex]
Therefore, the measure of angle 1 is 70 degrees.
i’m so bad at this someone please help me lol!
Answer:
It's B
Step-by-step explanation:
B makes the most sense to me
Find the area of a circle with radius,
r
= 40cm.
Give your answer rounded to 3 SF
The given circle has radius r = 22. If \thetaθ = 141 degrees, what is the area of sector L?
Answer:
[tex]595.54[/tex]
Step-by-step explanation:
The formula for a sector of a circle with angle [tex]\theta[/tex] is [tex]\frac{\theta}{360}\cdot r^2\pi[/tex].
Substituting given values, we have:
[tex]\frac{141}{360}\cdot 22^2\pi\approx \boxed{595.54}[/tex]
A single 6 sided die is rolled which best describes the probability of rolling a number greater than 6
Answer:
0% chance
Step-by-step explanation:
if the cube is 1-6 then 6 is the highest number. there is non higher.
What's the area of the figure?
Answer: it should be 252 in.
Step-by-step explanation:
hello please help i’ll give brainliest
Answer:
it will decrease
Step-by-step explanation:
if theres not enough food water, ect for all 55 to survive and only enough to support 40 wolves they will die down
Answer:
It will decrease
Step-by-step explanation:
There are 55 wolves means the wolf population will decrease as the place have only sufficient resources to 40 wolves and will eventually die.
I think this is the answer.
Find the measure of
А
E
103°
270
50°
35°
D
B
C
Answer:B
Step-by-step explanation:
Which is the correct calculation for the volume of the prism?'
3 units
5 units
4 units
O 3 + 5 + 4 = 12 units
O3(4) + 5 = 17 units?
3(4) = 12 units
3(5)(4) = 60 units
Step-by-step explanation:
V = l.W.H
3(5)(4) = 60 units
The volume of rectangular prism is given by the product of its dimensions hence the correct option is 3(5)(4) = 60 units
What is volume?A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere. Different shapes have different volumes.
Given that, we need to determine the correct calculation for the volume of the prism,
We know that, the volume of a rectangular prism is the product of its dimensions = length x width x height
Therefore, the correct formula is 3(5)(4) = 60 units
Hence, the correct option is 3(5)(4) = 60 units
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Which scenario could be modeled by the equation 2x+12=40
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{2x + 12 = 40}[/tex]
[tex]\large\text{SUBTRACT 12 to BOTH SIDES}[/tex]
[tex]\large\textsf{2x + 12 - 12 = 40 - 12}[/tex]
[tex]\large\text{CANCEL out: \textsf{12 - 12} because that gives you \textsf{0}}[/tex]
[tex]\large\text{KEEP: \textsf{40 - 12} because that helps solve for \textsf{x}}[/tex]
[tex]\large\textsf{40 - 12 = \bf 28}[/tex]
[tex]\large\text{New EQUATION: \textsf{2x = 28}}[/tex]
[tex]\large\text{DIVIDE 2 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{2x}{2}=\dfrac{28}{2}}[/tex]
[tex]\large\text{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\text{ because that gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{28}{2}}\large\text{ because gives you the value of x}[/tex]
[tex]\mathsf{x = \dfrac{28}{2}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \bf \huge x = 14}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Translate (-3, 1) to the right 1 unit.
Then reflect the result over the y-axis.
What are the coordinates of the final point?
OD
?
Answer:
(2,1)
Step-by-step explanation:
When we translate to the right, we are simply adding a value to the x axis value corresponding to the units of translation
We have the translation by 1 unit, so we are to add 1 to the value of the x-coordinate
Thus, we have this as ;
(-3 + 1, 1)
= (-2,1)
When we reflect a point (x,y) over the y-axis, its new coordinates become (-x,y)
Applying this to what we have above, the coordinate of the final point will be (2,1)
PLEASE HELP ASAP!!!!!
what is the y intercept of this quadratic function
Answer:
the y-int is at the point (0,3)
Step-by-step explanation:
Answer:
(0,3)
Step-by-step explanation:
f(x)=x²+2x+3
x=0
f(0)=0²+2×0+3
f(0)=3
y=3
(0,3)
please HELPPPP me !!!!!
Answer:
[tex]y = 4x - 3\\Slope \ m_1 = 4[/tex]
EQUATION OF LINE PERPENDICULAR
[tex]Lines \ are \ perpendicular => m_1 \cdot m_2 = -1\\[/tex]
[tex]slope, m_2 = \frac{-1}{4}[/tex]
[tex]equation \ of \ the\ line \ passing \ through \ (-2, 2) \ slope ,m_2 :\\(y - y_2) =m_2(x - x_2)\\ (y - 2) = \frac{-1}{4} (x -(-2))\\\\y - 2 = \frac{-1}{4} (x +2)\\\\y = \frac{-1}{4}x - \frac{1}{2} + 2\\\\y = \frac{-1}{4}x + \frac{3}{2}[/tex]
EQUATION OF LINE PARALLEL
[tex]Lines \ are \ parallel => m_1 \cdot m_3 = 1\\slope, m_3 = \frac{1}{4}[/tex][tex]Equation \ of \ the \ line \ through \ (-2, 2) \ and \ slope, m_3:\\(y - y_3) =m_3(x - x_3)\\\\(y-2) = \frac{1}{4} (x - (-2))\\\\y-2 = \frac{1}{4}(x+2)\\\\y = \frac{1}{4}x + \frac{1}{2} +2\\\\y = \frac{1}{4}x + \frac{5}{2}[/tex]
A foot ball field measures 100m by 72m. A school marks a football field similar in shape to a fullsize football field but only 30m long. What is its width?
Answer: 21.6 m
Step-by-step explanation:
Given
A football field measures [tex]100\ m\times 72\ m[/tex]
If a football field similar in shape to a full size has a length [tex]l=30\ m[/tex]
The ratio of the length of the original to the small field is the same
Assume the width of the small field is w
[tex]\therefore \dfrac{100}{30}=\dfrac{72}{w}\\\\\Rightarrow w=30\times \dfrac{72}{100}\\\\\Rightarrow w=21.6\ m[/tex]
Thus, the width of the field is 21.6 m
the florida gators football team recorded the following yardage in seven plays, 9, -3, -5, 0, 12, 20, and -4, order these from greatest to least
HELP ME REALLY FAST
I WILL MARK BRAINLIEST
\Six times a larger number is equal to the sum of a smaller number and 18. The difference of twice the larger number and the smaller number is 6. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?
y = 6 x + 18. y = 2 x minus 6.
y = 6 (x + 18). Y = 2 (x minus 6).
y = one-sixth x + 3. y = one-half x + 6.
y = one-sixth x + 3. y = one-half x + 3.
Answer:
last option: y = 1/6x+3; y = 1/2x+3
Step-by-step explanation:
6y = x + 18
Solve the above for 'y' to get:
y = 1/6x + 3
2y - x = 6
Solve the above for 'y' to get:
2y = x + 6
y = 1/2x + 3
Which of these is a simplified form of the equation 7x + 4 = 5 + 3x + 1x?
I really need the step by step so I know how to this. Thank y'all soo much <3
Charlene's age is 4 less than 3 times Mary's age, x.
Which expression represents Charlene's age?
O A 3X - 4
OB. 3(x-4)
O C. 4X-3
OD. 4 - 3x
The solution is Option A
The equation of Charlene's age is 3x - 4
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let Charlene's age be C
The age of Mary is = x
Now , the equation is
Charlene's age is 4 less than 3 times Mary's age
Substituting the values in the equation , we get
C = 3 x ( Mary's age ) - 4
On simplifying the equation , we get
C = 3x - 4 be equation (1)
Therefore , the value of C is 3x - 4
Hence , the age of Charlene's age is 3x - 4
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In the polynomial function below, what is the leading coefficient? F(x) = 1/4x⁵+8x-5x⁴-19
A. -5
B. -19
C. 2
D. 1/4
E. 8
Answer:
Leading coefficient is the coefficient of the highest power of x.
[tex]x^5[/tex] is the highest power.
Therefore, leading coefficient = [tex]\frac{1}{4}[/tex]
Option D
Answer:1/4
Step-by-step explanation:
Solve this for pleaseee
OFFERING 50 POINTS
Researchers for a textile company carried out an experiment comparing the longevity of two new fabric blends.
They carried out a series of usage tests, known as double rubs, on 100 pieces of each type of material. These scales are used for this type of testing.
Fabric Grade Number of Double Rubs
(in thousands)
Heavy duty
Medium duty
Light duty
Delicate duty
After performing the tests on each fabric, researchers found that on average, fabric A lasted through 7,900 double rubs and fabric B lasted through 9,200 double rubs.
The marketing department wants to advertise that both fabrics are tested and approved for medium-duty use.
Which statements are true about this situation?
The sales department can refer to fabric A as a medium-duty fabric.
The sales department can refer to fabric B as a medium-duty fabric.
Fabric A is a more durable fabric because it has a lower double rub rating than fabric B.
Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.
Neither fabric meets the requirements of a medium-duty fabric.
Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.
We have given that,
Researchers for a textile company carried out an experiment comparing the longevity of two new fabric blends.
What is the experiment?
An experiment is a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried.
They carried out a series of usage tests, known as double rubs, on 100 pieces of each type of material.
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Answer:
Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.
The sales department can refer to fabric B as a medium-duty fabric.
Step-by-step explanation:
edmentum :)
Given that (√3)^n = 3^x/27^y^1
express n in terms of x and y.