So, you just have to recognize the line splitting the circle in half, line LJ. So, if JC (arc) is 94, then do 180-94=86. ∠LJC is an inscribed angle, so it's half of 86, which is 43°.
43° is your answer.
NEED HELP ASAP!! Worth 15 pts!!
Answer:
p = 1/6
Step-by-step explanation:
5/6 - 1/3 n = p(5-2n)
Multiply each side by 6 so we do not have any fractions
6(5/6 - 1/3 n) = 6*p(5-2n)
5 - 2n = 6p (5-2n)
Divide each side by (5-2n) to isolate 6p
(5-2n)/(5-2n) = 6p (5-2n)/ (5-2n)
1 = 6p
Now divide by 6 to get p alone
1/6 = 6p/6
1/6 = p
An ellipse has a vertex at (0, -7), a co-vertex at (4,0), and a center at the origin. Which is the equation of the ellipse in standard form?
ANSWER
[tex]\frac{ {y}^{2} }{49} + \frac{ {x}^{2} }{ 16 } = 1[/tex]
EXPLANATION
The given ellipse has a vertex at (0, -7), a co-vertex at (4,0), and a center at the origin.
The equation of an ellipse with vertex on the y-axis and center at the origin is given by
[tex]\frac{ {y}^{2} }{a ^{2} } + \frac{ {x}^{2} }{ {b}^{2} } = 1[/tex]
[tex]\frac{ {y}^{2} }{( - 7) ^{2} } + \frac{ {x}^{2} }{ {4}^{2} } = 1[/tex]
[tex]\frac{ {y}^{2} }{49} + \frac{ {x}^{2} }{ 16 } = 1[/tex]
The equation of the ellipse with a vertex at (0, -7), a co-vertex at (4,0), and a center at the origin is x^2/16 + y^2/49 = 1.
Explanation:To find the equation of the ellipse in standard form, we need to identify the lengths of the major and minor axes. The given vertex at (0, -7) indicates that the semi-major axis length, a, is 7 because the distance from the center to a vertex measures the semi-major axis. Similarly, the co-vertex at (4, 0) represents the semi-minor axis length, b, which is 4.
Since the center is at the origin (0, 0), the standard form of the ellipse equation is given by x^2/b^2 + y^2/a^2 = 1. Plugging the values of a and b, we get x^2/4^2 + y^2/7^2 = 1. So, the equation of the ellipse is x^2/16 + y^2/49 = 1.
the cost of oranges in a grocery store is directly proportional to the number of oranges purchased. elia paid $2.52 for 6 oranges. if p represents the cost(in dollars) and n represents the number of oranges, find the unit rate
Step-by-step explanation:
6 oranges =$2.52
1 orange=$2.52/6
=$0.42
Answer:
Step-by-step explanation:
The answer is aP=0.42n
To get to that answer all you have to do is 2.52/6=0.42
6 oranges=2.52
1 oranges=0.42
Ty had 10 eggs. He made 4 servings of scrambled eggs. He used n eggs for each serving.
create an expression to represent the number of eggs Ty has left.
[tex]10-4n=x[/tex]
Hope this helps.
Brainliest would help me as well.
Final answer:
The number of eggs Ty has left after making 4 servings of scrambled eggs, using n eggs for each serving, is represented by the algebraic expression 10 - 4n.
Explanation:
To determine the number of eggs Ty has left after making scrambled eggs, we need to use a simple algebraic expression. If Ty started with 10 eggs and used n eggs for each of the 4 servings, we can represent the number of eggs used in total as 4n.
To find the number of eggs remaining, we subtract the total number of eggs used from the initial number of eggs:
Number of eggs remaining = Initial number of eggs - Number of eggs used
Number of eggs remaining = 10 - 4n
Use the given information to write an equation of the circle.
center at (-7,-3), radius 2
The equation of a circle is written as (x-h)^2 +(y-k)^2 = r^2
h and K are the center points of the circle and r is the radius.
replace the letters with the provided center and radius:
(x- (-7))^2 + (y- (-3))^2 = 2^2
Simplify:
(x+7)^2 + (y+3)^2 = 4
What number is an outlier for the given data? 23,34,27,7,30,26,28,31,34. A)7 B)23 C)31 D)34
Answer:
A) 7
Step-by-step explanation:
The outlier of a given data set is one that is significantly larger or smaller than the rest of the data.
In this set, most of the values are within the 25-35 range, more or less. But out of all of those numbers, one of the is too small to make sense, which is 7.
Select all of the values that are solutions to this inequality.
Answer:
12, 18.
Step-by-step explanation:
2x-5 < 33
2x < 38
x < 38/2
x < 19
Mr. Abrams conducted a survey of 355 students. 72% of them said that they study for tests. How many students said they study for tests?
Rounded Answer: 256
Exact Answer : 255.6
The sum of the digits of a two digit number is 14. The difference between the tens digit and the units digit is 2. If x is the tens digit and y is the ones digit, which system of equations represents the word problem?
xy = 14 and x - y = 2
x + y = 14 and x - y = 2
x + y = 14 and y - x = 2
Answer:
B. x + y = 14 and x - y = 2
Step-by-step explanation:
Sum means addition, so the sum of the tens digit (x) and the ones digit (y) is equal to 14 (x + y = 14).
Difference means subtraction, so the difference between the tens digit (x) and the ones digit (y) is 2 (x - y = 2).
I hope this helps =)
Answer:
Option B. will be the answer.
Step-by-step explanation:
If the tens digit is x and ones digit is y, then the number formed will be xy.
Now we fill form the equations as per statements given in the question.
"The difference between tens and unit digits is 2"
x - y = 2 --------(1)
"Sum of the digits of two digit number is 14"
x + y = 14 -------(2)
Therefore, system of equations will be as the given equations 1 and 2.
Option B is the answer.
te
5. A farmer found a crop circle in his fields. He rode his tractor around it, and found that its
circumference was 1.884 miles. He rode his tractor directly across the center, and found
that the diameter was 0.6 miles. What is the area of the crop circle?
Answer: 0.283 square miles
Step-by-step explanation:
The area of a circle is:
Diameter:A = (π/4) × D2
or, when you know the Circumference:A = C2 / 4π
Simplify 4y-8y^2+9y-7y^2
Answer: D) 13y+15y^2
Step-by-step explanation:
(4y+9y)+(-8y^2-7y^2)=13y-15y^2
4y-8y^2+9y−7y^2
=4y+ −8y^2+9y+ −7y^2
Combine Like Terms:
=4y+ −8y^2+9y+ −7y^2
=(−8y^2+ −7y^2)+(4y+9y)
= −15y^2+13y
The numbers 4 through 14 are placed in a
bowel and drawn at random then replaced
after being drawn. What is the probability of
drawing the number 14 and then a number
less than 12?
The probability of drawing the number 14 is 1/10 (because there are 10 different numbers to pick from). The probability of drawing a number less than 12 is 8/10 (or 4/5 simplified). Multiply the fractions: 1/10 *4/5 = 4/50. Simplify to 2/25. The probability of drawing 14 and then a number less than 12 is 2/25.
Post A and Post B are 120 meters apart. Post B and Post C are 300 meters apart. Ben cycled from Post A to Post B in 15 seconds. Then he cycled from Post B to Post C in 55 seconds. Find Ben's average speed for the distance from post A to Post C.
Show work
Answer: 6 meters per second
Step-by-step explanation:
Ben's average speed from Post A to Post C is 6 meters per second, calculated by dividing the total distance cycled (420 meters) by the total time taken (70 seconds).
Explanation:The subject of the problem is calculating average speed. In this context, Ben's average speed can be calculated by dividing the total distance cycled by the total time taken.
Total distance is the sum of the distance from Post A to Post B and from Post B to Post C, which is 120 meters + 300 meters = 420 meters.
Total time is the sum of the time taken from Post A to Post B and from Post B to Post C, which is 15 seconds + 55 seconds = 70 seconds.
So, Ben's average speed=Total Distance/Total Time.
This equals 420 meters/70 seconds= 6 meters/second.
Therefore, Ben’s average speed for the entire distance from Post A to Post C is 6 meters per second.
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Pls help!!!
So I been needing help for the past week now and my friends dk either cuz they just as dumb as me.
[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\implies \stackrel{\textit{8\% of (s)ales}}{\left(\cfrac{8}{100} \right)s}\qquad \qquad \begin{cases} c=commission\\ s=total~sales \end{cases}[/tex]
[tex]\bf \stackrel{\textit{her (c)ommision is 8\% of (s)ales}}{c = \cfrac{8}{100}s\implies c=\cfrac{8s}{100}}\implies \stackrel{\textit{we know she made 2560 in commision}}{2560=\cfrac{8s}{100}\implies 256000=8s} \\\\\\ \cfrac{256000}{8}=s\implies 32000=s[/tex]
Find the area of the rhombus.
Please help ASAP
Answer:
The area of rhombus = 195 yd²
Step-by-step explanation:
Points to remember
Area of rhombus = d₁d₂/2
Where d₁ and d₂ are the diagonals of the rhombus
To find the area of given rhombus
Here diagonals of rhombus are given
From the figure we get,
d₁ = 13 + 13 = 26 yd and
d₂ = 7.5 + 7.5 = 15 yd
Area = d₁d₂/2 = (26 * 15 )/2 = 13 * 15 = 195 yd²
Therefore the area of rhombus = 195 yd²
How is that equal to 10.17378? How do you write that on a calculator? Sorry, haven’t learnt logarithms.
Answer:
Step-by-step explanation:
The log is basically saying: 13/5 to what exponent gives you 50 000/3.
and the exponent is approximated at 10.17378.
Each person in the vale family drinks 481/2 ounces of water a day how much water will each person drink in 7 days
Each person in the Vale family will drink a total of 339.5 ounces of water over the course of 7 days.
The student is asking how much water in ounces each person in the Vale family will drink over the span of 7 days if each person drinks 48.5 ounces of water daily.
To find the total amount of water consumed by one person in 7 days, we multiply the daily intake by the number of days:
48.5 ounces/day imes 7 days = 339.5 ounces
So, each person will drink a total of 339.5 ounces of water in 7 days.
Find the volume of the prism.
Answer:
[tex]V=120\ units^3[/tex]
Step-by-step explanation:
we know that
The volume of a prism is equal to
[tex]V=BL[/tex]
where
B is the area of the base of the prism (triangular base in this problem)
L is the length of the prism (perpendicular distance between the top and the bottom)
Find the area of the triangular base B
[tex]B=\frac{1}{2}(3)(4)=6\ units^2[/tex] ---> area of a triangle
we have
[tex]L=20\ units[/tex]
substitute in the formula of volume
[tex]V=6(20)=120\ units^3[/tex]
Note The problem does not specify whether the measurements are in centimeters or in units, so I assume they are in units.
central school is hosting a "central has talent" show. they will award various prizes for the best acts in the show. first place wins the most money
the answer is b and f
Answer:
b f
Step-by-step explanation:
The total surface area of a cube is 600 sq cm what is the length of one edge of the cube
Answer:
4.64
Step-by-step explanation:
s = 6a^3
600=6a^3
100 = a^3
solve for a which would be 4.64
Algebraic Reasoning please help!
Answer:
[tex]\left[\begin{array}{ccc}7\\4\\2\end{array}\right][/tex]
The answer is a single-column matrix (7,4,2)
Step-by-step explanation:
In such multiplication of matrices, you have to proceed by multiplying each ROW of the first matrix by the COLUMN of the second matrix. So,
[tex]\left[\begin{array}{ccc}3&6&1\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (3 * 2) + (6 * 0) + (1 * 1) = 6 + 0 + 1 = 7[/tex]
then...
[tex]\left[\begin{array}{ccc}2&4&0\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (2 * 2) + (4 * 0) + (0 * 1) = 4 + 0 + 0 = 4[/tex]
and
[tex]\left[\begin{array}{ccc}0&6&2\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (0 * 2) + (6 * 0) + (2 * 1) = 0 + 0 + 2= 2[/tex]
I hope it helps.
Mary spends 2 2/3 hours on math homework every week. She also spends 3 1/3 hours on art homework every week. How much time does Mary spend in total on math and art over 4 weeks?
Answer:
2 2/3+ 3 1/3 = 6. Multiply 6 by 4 weeks. 24 as your whole number.
Step-by-step explanation:
Final answer:
Mary spends a total of 24 hours on math and art homework combined over a period of 4 weeks.
Explanation:
Mary spends 2 2/3 hours on math homework and 3 1/3 hours on art homework each week.
To find out how much time she spends on both subjects over 4 weeks, first, we add the weekly hours:
2 2/3 + 3 1/3 = 6 hours per week.
Next, we multiply this weekly total by 4 to determine the monthly total: 6 hours/week × 4 weeks = 24 hours.
Therefore, Mary spends a total of 24 hours on math and art homework over 4 weeks.
16x to the 3rd / y * 5 y to the second / xy
Answer:
Final answer is [tex]80x^2[/tex].
Step-by-step explanation:
Given expression is [tex]\frac{16x^3}{y}\cdot\frac{5y^2}{xy}[/tex].
Now we need to simplify this expression as shown below:
[tex]\frac{16x^3}{y}\cdot\frac{5y^2}{xy}[/tex]
[tex]=\frac{80x^3\cdot y^2}{y\cdot xy}[/tex]
[tex]=\frac{80x^3\cdot y^2}{xy^2}[/tex]
[tex]=\frac{80x^3}{x}[/tex]
[tex]=80x^2[/tex]
Hence final answer is [tex]80x^2[/tex].
tents hold 2, 3, 5, 6, or 12 people. how many combinations of tents are possible to sleep 32 all tents are fully occupied and exactly one 12 person tent is used.
there would be 12 combinations
Answer:
12
Step-by-step explanation:
We are given that tent hold 2,3,5,6 or 12 people.
We have to find the combinations of tents are possible to sleep 32 all tents are fully occupied and exactly one 12 person tent is used.
If one 12 person tents is used then remaining people=32-12=20
Therefore, 20 people that must be in other tents.
To place 20 persons in combination of 2,3,5 and 6.
20=5+5+5+5
20=5+5+5+2+3
20=6+6+6+2
20=2(10)=2+2+....+2(10 times)
20=5+5+2(5)(5 times add 2)
20=6+6+2(4) (4 times add 2)
20=3+3+3+3+3+3+2
20=3+3+3+3+3+5
20=3+2+6+5+2+2
20=3+3+3+3+6+2
20=3+3+5+5+2+2
20=6+6+3+5
Hence, there are 12 possible combination of tents to sleep 32 all tents are fully occupied and exactly one 12 person tents is used.
Type the correct answer in each box. Use pi= 22/7, and round your answers to the nearest interger. The perimeter of the largest cross section of a sphere is 88 centimeters. The radius is 14 cm. The volume of the sphere is __ cm^3
Answer:
11,499 cm^3
Step-by-step explanation:
The volume of a sphere is given by the formula [tex]V=\frac{4}{3}\pi r^3[/tex]
The radius is given as 14, we plug it into the formula and find the volume:
[tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}(\frac{22}{7}) (14)^3\\V=11498.66[/tex]
rounded to nearest integer, the volume is 11,499
Answer:
r=14 cm
V=11499 cubic cm
Step-by-step explanation:
If the radius of the sphere is r cm, then the perimeter of the largest cross section is the circumference of the circle qith radius r. Thus,
[tex]88=2\pi r,\\ \\r=\dfrac{88}{2\pi}=\dfrac{44}{\pi}=\dfrac{44}{\frac{22}{7}}=\dfrac{44}{1}\cdot \dfrac{7}{22}=14\ cm.[/tex]
Thvolume of the sphere can be calculated using formula
[tex]V=\dfrac{4}{3}\pi r^3.[/tex]
Since r=14 cm, we get
[tex]V=\dfrac{4}{3}\cdot \dfrac{22}{7}\cdot 14^3=\dfrac{4\cdot 22\cdot 2\cdot 14^2}{3}=\dfrac{34496}{3}\approx 11499\ cm^3.[/tex]
Isaac is working as a security guard. He earns $8.45 an hour. He earns double time for any overtime over 40 hours. Last week he worked 44 hours. How much did he earn last week? (Hint: double time means 2 times the regular hourly rat.)
your answer would be $405.60
The answer is 709.8 You would do 8.45 times 40 = 338 now since he did overtime you multiply it by 2. 338*2= 676. He also did another 4 hours 8.45*4=33.8 now you add these together 33.8+676 = 709.8
Find the mean for each set of data. Round to the nearest tenth if necessary.
5, 10, 10, 20, 20, 5, 20, 20, 15, 15
Answer:
14
Step-by-step explanation:
Mean = (5+10+10+20+20+5+20+20+15+15)÷10
= 140÷10
= 14
Segments Ra and Ny are best described as which of the following
Answer:
B
Step-by-step explanation:
B). RA and NY are perpendicular segments
Answer:
The correct answer option is B. Perpendicular segments.
Step-by-step explanation:
We are given two segments RA and NY and we are to determine whether which of the given answer options describe them the best.
Since the angles ∠RDA and ∠NDY are perpendicular angles and they lines RA and NY intersect each other at point D so the formed segments are also perpendicular.
Therefore, the option which best describes this is B. Perpendicular segments.
F(x)=-3x+4 and g(x)=x^2 what is (g ° f)(0)
Answer:
[tex]\left(gof\right)\left(0\right)=16[/tex]
Step-by-step explanation:
Given functions are [tex]f\left(x\right)=-3x+4[/tex] and [tex]g\left(x\right)=x^2[/tex].
Using both functions we need to find about what is the value of [tex]\left(gof\right)\left(0\right)[/tex]. That can be done as shown below:
[tex]\left(gof\right)\left(0\right)[/tex]
[tex]=g\left(f\left(0\right)\right)[/tex]
[tex]=g\left(-3\left(0\right)+4\right)[/tex]
[tex]=g\left(0+4\right)[/tex]
[tex]=g\left(4\right)[/tex]
[tex]=4^2[/tex]
[tex]=16[/tex]
Hence final answer is [tex]\left(gof\right)\left(0\right)=16[/tex].
Distance formula: Does the point (2, rt sqr. 6 ) lie on the circle shown? Explain.
Answer:
Thus, the fourth answer choice is the correct one
Step-by-step explanation:
Let's check this, using the Pythagorean Theorem:
"Yes, the distance from (0, 0) to (2, square root 6 ) is 3 units."
Does 2² + (√6)² = 3²?
Does 4 + 6 = 9? NO. .