Answer:
3083.5feet
Step-by-step explanation:
the distance around the crater is a fancy way of saying circumference, so you would find the diameter by dividing the circumference by pi
please help asap (pictures below!!)
Answer:
8. P = 48 cm A = 83
9. P =32 cm A = 60
Step-by-step explanation:
P = add all sides together
A = base times height
Answer:
8. P = 48 cm, A = 83 cm²
9. P = 36 cm, A = 56 cm²
Step-by-step explanation:
The trick with irregular shaped objects areas is to split them up into several rectangles. Perimeters is just filling in the missing sides using the other sides and adding them all up.
After finding the missing sides for the first figure, the perimeter would be:
5 + 10 + 4 + 3 + 11 + 3 + 2 + 10 = 48 cm
For the area, we split the figure into the vertical rectangle on top and the horizontal rectangle on the bottom. You'll see that the vertical rectangle has an area of 50 squared cm (5 * 10), while the area of the other rectangle is 33 squared cm (3 * 11), so the area of the whole figure is 50 + 33 = 83 squared cm.
Use this same method for the next figure, and you should get that the perimeter is 36 cm and the area is 56 squared cm.
Hope this helps
PLEASE HELP ME! CAN YOU PLEASE SOLVE!
Answer:
-6
Step-by-step explanation:
-15from both sides then divide the -24 from the left by 4 because you only need one x and your answer is x=-6
Write down the pair of integers whose difference is -6
Answer:
Step-by-step explanation:
10 - 16 = -6
15 - 21 = -6
What is the following quotient? startfraction rootindex 3 startroot 60 endroot over rootindex 3 startroot 20 endroot endfraction rootindex 3 startroot 3 endroot 3 2 (rootindex 3 startroot 5 endroot) 40
The value of the quotient expression [tex]\sqrt[3]{60} \div \sqrt[3]{20}[/tex] is [tex]\sqrt[3]{3}[/tex]
What is quotient?The quotient of numbers or expressions is the division of a number or expression by another
How to determine the quotient?The quotient expression is given as:
[tex]\sqrt[3]{60} \div \sqrt[3]{20}[/tex]
Write as a single expression by applying the law of indices
[tex]\sqrt[3]{60 \div 20}[/tex]
Divide 60 by 20
[tex]\sqrt[3]{3}[/tex]
Hence, the value of the quotient expression [tex]\sqrt[3]{60} \div \sqrt[3]{20}[/tex] is [tex]\sqrt[3]{3}[/tex]
Read more about quotient at:
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Answer:
A
Step-by-step explanation:
Endgenuity 2022
PLEASE HELP!! ASAPPP
Which equation has exactly one solution?
8. What is the distance around the clock?
1 point
12
11
10
2
-9
8
4
N
5
11 in
O 11 in
O 5.5 in
03.14(11)
O 3.14(5.5)^2
Answer:
The clock face is divided into sixty equal parts, each minute. The minute hand is located on the 20 minute mark at 6:20, the hour hand located between the 30 minute mark and the 35 minute mark. When the minute hand goes all sixty minutes, the hour hand only moves five, so to figure out the location of the hour hand, we look at how much the hour has progressed, in this case 20 minutes, or one third of the hour. So the minute hand has moved one third of the way through the hour, so has the hour hand moved one third of the way through the five minutes, or, five thirds of a minute, which is one and two thirds minute, one minute forty seconds. That puts the hour hand at thirty minutes plus one minute and forty seconds—at 31min 40sec—which is 11min 40sec farther than the minute hand.
Step-by-step explanation:
441 N of force is being applied to the zip-lining seat that Sarah is sitting on. What is Sarah's mass?
Answer:
45 kg
Step-by-step explanation:
Formula for force :
Force = mass x gravity due to accelerationSolving :
441 N = mass x 9.8 m/s²mass = 441/9.8mass = 45 kgThe hypotenuse of a right triangle measures 19m on leg measures 15m what is the measure of the other leg
Answer:
≈ 11.7 m
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the measure of the second leg , then
x² + 15² = 19²
x² + 225 = 361 ( subtract 225 from both sides )
x² = 136 ( take square root of both sides )
x = [tex]\sqrt{136}[/tex] ≈ 11.7 m ( to the nearest tenth )
6. What is the circumference of the given circle in terms of m?
Answer:
The answer is 24π because r=12
and c=2πr
=2×π×12
=24π
Find the slope of (4.2,0.4) and (3.6,0.2)
Answer:
slope is 1/3 or 0.33333333333333
Step-by-step explanation:
just ask
Answer:
-0.6/0.2
Step-by-step explanation:
rise over run, the equation is: x1-x2/y1-y2
Find the sum of the geometric series 100+20+…+0.16
Answer:
c) 124.96
Step-by-step explanation:
Geometric series: 100 + 20 + ... + 0.16
First we need to find which term 0.16 is.
General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]
(where a is the first term and r is the common ratio)
To find the common ratio r, divide one term by the previous term:
[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{20}{100}=0.2[/tex]
Therefore, [tex]a_n=100(0.2)^{n-1}[/tex]
Substitute [tex]a_n=0.16[/tex] into the equation and solve for n:
[tex]\implies 100(0.2)^{n-1}=0.16[/tex]
[tex]\implies (0.2)^{n-1}=0.0016[/tex]
[tex]\implies \ln(0.2)^{n-1}=\ln0.0016[/tex]
[tex]\implies (n-1)\ln(0.2)=\ln0.0016[/tex]
[tex]\implies n-1=\dfrac{\ln0.0016}{\ln(0.2)}[/tex]
[tex]\implies n=\dfrac{\ln0.0016}{\ln(0.2)}+1[/tex]
[tex]\implies n=5[/tex]
Therefore, we need to find the sum of the first 5 terms.
Sum of the first n terms of a geometric series:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
Therefore, sum of the first 5 terms:
[tex]\implies S_5=\dfrac{100(1-0.2^5)}{1-0.2}[/tex]
[tex]\implies S_5=124.96[/tex]
Kohl's needed to get her computer fixed she took it to the repair store the technician at the store worked on the computer for 6 hours and charged her $59 for parts. The total was $749.
Answer:
$115
Step-by-step explanation:
The cost of the labor per hour is $115.
The total amount that the technician charged her is the sum of the cost for the total hours worked and the costs of the parts.
Total charge = cost of total hours worked + cost of parts
$749 = $59 + cost of total hours worked
Cost of total hours worked = $749 - $59
Cost of total hours worked = $690.
PLS HELP ME ON THIS PROBLEM ASAP THANK YOU :)
Answer:
x= 14
Step-by-step explanation:
When the triangles are similar, they should have a similar ratio that makes one side equal to another. In this case, the ratio is 1.5 as 24 divided by 16 is 1.5. Now, taking the side that is "similar" to the x-value which is 21, we divided 21 by 1.5 resulting in x= 14.
Answer:
x = 14
Step-by-step explanation:
24/21 = 1.14285714286
16/14 = 1.14285714286
Have a nice day! :)
The length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81 degrees. What is the approximate length of the radius of the circle?
A 5.19 units
B 3.51 units
C 11.03 units
D 10.38 units
Answer:
A. 5.19 units
Step-by-step explanation:
[tex]\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}[/tex]
Given:
[tex]\theta[/tex] = 81°Arc length = 7.34 unitsSubstituting given values into the equation and solving for r:
[tex]\implies 7.34=2 \pi r\left(\dfrac{81^{\circ}}{360^{\circ}}\right)[/tex]
[tex]\implies 7.34=r\left(\dfrac{18 \pi}{40}\right)[/tex]
[tex]\implies 7.34 \cdot 40=18 \pi r[/tex]
[tex]\implies 293.6=18 \pi r[/tex]
[tex]\implies r=\dfrac{293.6}{18 \pi}[/tex]
[tex]\implies r=5.19 \sf \: units \:(2\:dp)[/tex]
Answer:
A) 5.19 units
Step-by-step explanation:
Formula for arc length :
arc length = 2πr × θ/360°7.34 = 2 x 22/7 x r x 81/3607.34 = 44/7 x 9/40 x r7.34 = 396/280 x rr = 7.34/396 x 280r = 280 x 0.0185353535r = 5.19 units (approximately)4. Can the following list represent a complete probability model?
P(2) = 1/12
P(3) = 2/3
P(4) = 1/4
Answer:
Yes
Step-by-step explanation:
A complete probability model should sum up the probability to 1
by adding them up, you will find the sum as 1/12 + 8/12 + 3/12 = 12/12
So, they can be a complete probability model with 3 outcomes "2", "3" & "4"
HELPPP MEEEE MATH 7TH PLS PSLSPLS PLS
A: Yes, the sum of two sides are greater than the third side.
B: Yes, the sum of two sides are greater than the third side. (Would be an equiilateral triangl.)
C: No, the sum of two sides are less than the third side.
In general, To determine if 3 side lengths are a triangle, use the triangle inequality theorem, which states that the sum of 2 sides of a triangle must be greater than the third side. Therefore, all you have to do is add together each combination of 2 sides to see if it's greater than the third side.
3 3/4 × 2 10/11? please help
Answer:
3 3/4 x 2 10/11 = 120/11 which is equal to 10 10/11 which is the simplified answer
Step-by-step explanation:
make them inproper so you have 15/4 and 32/11 which the product is 120/11 which you can make a proper fraction which is 10 10/11
orge needs to reflect a figure across the line y = negative 4. Which statements are correct regarding steps he could take to complete the reflection? Check all that apply.
Jorge should graph in the vertical line with values of –4 for the line of reflection.
Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.
Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side.
Jorge will not move any point that lies on the line of reflection.
Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.
Jorge could check his work by making sure that the image has the same orientation as the original.
The statement second, statement fourth, and statement fifth are correct as the reflection line is y = -4.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have:
Jorge needs to reflect a figure across the line y = -4
Here, y = -4 is a vertical line.
The correct statements regarding the steps he could take to complete the reflection are:
Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.Jorge will not move any point that lies on the line of reflection.Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.Thus, the statement second, statement fourth, and statement fifth are correct.
Learn more about the geometric transformation here:
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Construct a confidence interval of the population proportion at the given level of confidence. X=540
The lower bound of the confidence interval is 0.55.
What is the confidence interval of the population proportion?A confidence interval for a proportion is a range of values that is likely to contain a population proportion with a certain level of confidence.
Construct a confidence interval of the population proportion at the given level of confidence x equals = 540, n equals = 900, 96% confidence.
The value of p is;
[tex]\rm p=\dfrac{x}{n}\\\\p =\dfrac{540}{900}\\\\p=0.6[/tex]
The standard error of the proportion is:
[tex]\rm \sigma_p=\sqrt{\dfrac{p(1-p)}{n}} \\\\ \sigma_p=\sqrt{\dfrac{0.6(1-0.6)}{540}} \\\\ \sigma_p=\sqrt{\dfrac{0.6\times 0.4}{540}} \\\\ \sigma_p=\sqrt{\dfrac{0.24}{540}} \\\\ \sigma_p=\sqrt{0.00044}\\\\ \sigma_p=0.02[/tex]
The critical z-value for a 94% confidence interval is z = 2.04
The margin of error (MOE) can be calculated as:
[tex]\rm Margin \ of \ error=\sigma_p \times z =2.04 \times0.02 =0.04[/tex]
Then, the lower bound of the confidence interval is;
[tex]Lower \ bound =p-x\times \sigma_p=0.6-0.04=0.55[/tex]
Hence, the lower bound of the confidence interval is 0.55.
Learn more about confidence intervals here;
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The total spent on a $32.50 pair of shoes with 6% tax.
its about percentages
Answer:
D) 80%
Step-by-step explanation:
To find the fraction of women surveyed who prefer salads, we need to know something about how many were surveyed, and how many of those preferred salads.
For this purpose, we can effectively ignore the percent signs in the table, and consider that it represent 100 people surveyed.
__
Of the 100 people surveyed, 40 were women. Of the 40 women, 32 preferred salads. That is, 32/40 = 8/10 = 80% of the women surveyed preferred salads.
_____
Additional comment
When dealing with percentages, one must always keep in mind the base the percentage is referring to. For all of the numbers in the table, the base is the total number of participants in the survey.
For the percentage that is the answer to the question, the base is the number of women surveyed (or something proportional to that number).
Convert the angle θ= 3π /5 radians to degrees. Express your answer exactly.
108
Answer:
216°
Step-by-step explanation:
Conversion from Radians to degrees : -
( θ * 360 ) / π
θ = 3π / 5
θ = ( 3π / 5 * 360 / π )
= ( 3 * 360 * π ) / ( 5 * π )
= ( 3 * 360 ) / 5
= 3 * 72
θ = 216°
Nolan is designing a new board game, and is trying to figure out all the possible outcomes . How many different possible outcomes are there is he flips a coin, spin a spinner with 5 equal -sized sections labeled Monday ,Tuesday, Wednesday, Thursday, Friday and spins a spinner with three equal sized sections labeled walk , run stop?
Answer:
1 out of 10 i think
Step-by-step explanation
2 sides of a coin + 5 days + 3 movements = 10 outcomes?
I think i needs i lil help
the last one is- 5/6 0.8333 %0.8333
3/5 0.6 %0.6
1/5 0.2 %0.2
1/4 0.25 %0.25
Hope this helps you!! :)
What is the unknown fraction?
four tenths plus blank equals seventy three hundredths
seventy seven hundredths
one hundred forty six hundredths
thirty three hundredths
sixty nine hundredths
Answer:
thirty three hundredths
Step-by-step explanation:
4/10 + ? = 73/100
4/10 is the same as 40/100
73-40=33
33/100
Find the Volume and Surface area
Answer:
Volume: 203,594
Surface Area: 105,237
----------------------------------------------------------------------------------------------------------
Solve for surface area ✅Let's start with surface area because it is a bit complex.
[tex]A = 5 ah + \frac{1}{2} \sqrt{5(5 + 2 \sqrt{5})}~a^2[/tex]
Now, we must break all of these factors into an equation.
remember, the height is 4, the base is 172
[tex]A = 5 * 172 * 4 + \frac{1}{2} * \sqrt{5 * (5 + 2 * \sqrt{5})} * 172^2[/tex]
[tex]A = \sf 1.05237 * 10^5 = 105,237[/tex]
So that should wrap things up for surface area, being 105,237
________________________________________________________
Solve for volume ✅Now, we move on to the volume of this pentagonal prism.
[tex]A = \frac{1}{4} \sqrt{5(5 + 2 \sqrt{5})}~a^2h[/tex]
Similar to surface area, but different.
[tex]A = \frac{1}{4} * \sqrt{5 * (5 + 2 * \sqrt{5})} * 172^2 * 4[/tex]
And the result of this is...
[tex]A = \sf 2.03594 * 10^5[/tex]
Which is also equal to ⇒ 203,594
please let me know if this helped or was correct, I really spent a lot of time on this and would like to hear any good or bad feedback. Thanks!
The high school near Washington school decides to hold their own walking backwards race. They find that the average high school student can walk1/3 of a mile in 12 minutes. How many miles would the average high school student cover in 30 minutes? Explain your reasoning.
help me with this math equation peez
Answer:
x = 15, 45 degree angle
Step-by-step explanation:
2x + 15 and 6x - 45 adds up to 90 degrees
(2x + 15) + (6x - 45) = 90
combine like terms:
2x + 6x = 8x
15 + (-45) = -30
8x - 30 = 90
8x - 30 + 30 = 90 + 30
8x = 120
8x / 8 = 120 / 8
x = 15
2(15) + 15
30 + 15 = 45 degree angle
6(15) - 45
90 - 45 = 45
Answer:
x = 15.
Step-by-step explanation:
The figure is a square so opposite sides are congruent and parallel.
The 2 angles marked are interior alternate angles, so they are congruent.
Therefore:
2x + 15 = 6x - 45
15 + 45 = 6x - 2x
4x = 60
x = 15.
Which table represents a linear function?
Please hurry I have to finish this soon!
Answer:
C
Step-by-step explanation:
A linear function is the repeating of the same word. Therefore, C would be the correct option. Due to the order 3 9 3 9, this is a linear function. This is just the most logical answer. Please let me know if I am wrong. Sorry if I am :(
What is the simplest form of the expression below? f 2 − 25 5 × f f − 5
Answer:
[tex]{f}^{2} - 2f - 120[/tex]
Goodluck