Answer:
Step-by-step explanation:
1)
O = center of circle (origin)
we know that the angle at the center of the circle ∠ ROS will be
180= 2(31) + ∠x
180-62 = ∠x
118° = ∠x
The supplemental angle to the 118° will be 62°
62° is the interior angle to arc QR , so
arc QR is also 62°
3)
b/c the intercepted arc YZ = 2* 68=136
then 136+125+? = 360
? = 99°
arc ZX = 99°
5)
O= center point
we are given the two arcs 120 and 70 for both of these we know that the
interior angles will be the same. ∠JOX has a central angle of 120 , then
b/c triangle JOX is an isosceles, we know that the two angles J and X of
the triangle JOX will be 1/2 of 60 , or 30 each
also for
also ∠XOY has an interior angle of 70 so the two angle at X and Y will be 1/2 of 110 , or 55°
now add 55+30 to find X for box XYZJ
85° = ∠X
9514 1404 393
Answer:
1) 62°
3) 99°
5) 85°
Step-by-step explanation:
The relevant relationships are ...
an inscribed angle is half the measure of the arc it interceptsthe total measure of the arcs of a circle is 360°__
1) Arc QR has twice the measure of inscribed angle QSR, so is ...
QR = 2×31° = 62°
__
3) Arc YZ is twice the measure of angle X, so is 2×68° = 136°. The sum of arcs around a circle is 360°, so ...
arc XZ = 360° -125° -136° = 99°
__
5) The sum of arcs around a circle is 360°, so ...
arc JZY = 360° -120° -70° = 170°
Angle X is half the measure of arc JZY, so is ...
angle X = 170°/2 = 85°
Find the value of the following by suitable rearrangement. Mention the
property used.
a. 25 x 679 x 4
b. 2917 x 102 - 2917 x 2
(a) 67900
(b) 291700
Step-by-step explanation:(a) 25 x 679 x 4
Rearrange the terms starting with the smallest
4 x 25 x 679
The property used here is the commutative property of multiplication which states that the order in which these numbers are multiplied does not matter.
Now solve
4 x 25 x 679 = 67900
(b) 2917 x 102 - 2917 x 2
Factor out the common terms
2917(102 - 2)
Using the distributive property which states that when a number is multiplied by the sum or difference of two numbers, the result is the same as multiplying each of the two numbers by the number and then adding or subtracting the products.
Now solve
2917(102 - 2) = 2917(100)
= 291700
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 6 yards long, and the height of the equilateral triangle is 5.2 yards. The pyramid's slant height is 7 yards. What is its surface area?
Answer:
78.6 sq. yards
Step-by-step explanation:
SA = (½×6×5.2)+(3×½×6×7)
= 15.6 + 63 = 78.6 sq. yards
Solve the system of equations with graph as given below. Write the solution as an ordered pair (x, y).
Answer:
(5,-2)
Step-by-step explanation:
The two equations are y=-x+3 and y=x-7
Their point of intersection, (5,-2), is the ordered pair solution to the system of equations.
Simplify this expression by distributing: (p - 3)6.
Answer:
6p-18
Step-by-step explanation:
Answer:
6p -18
Step-by-step explanation:
(p - 3)6
Distribute
6*p - 6*3
6p -18
what is communication
Answer:
An interaction that you do verbally or physically to let someone know something.
it either
the imparting or exchanging of information or news
or
means of sending or recieving information, such as phone lines or computers
Suppose that prices of a gallon of milk at various stores in one town have a mean of $3.69 with a standard deviation of $0.11. Using Chebyshev's Theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91
Answer:
The minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91 is of 75%.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
Mean of $3.69, standard deviation of $0.11.
What is the minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91?
3.47 = 3.69 - 2*0.11
3.91 = 3.69 + 2*0.11
So the minimum percentage within 2 standard deviations of the mean, which by Chebyshev's Theorem, is of 75%.
Answer:75%
Step-by-step explanation:
-10x^2-4x+2=0 real number solutions
Answer:
2 real solutions
Step-by-step explanation:
a=-10, b=-4, c=2
(-4)^2-4x(-10)x2=96
SOMEONE HELP ME WITH THIS PLEASE IM STRUGGLING
Answer:
Final point (-4, 4) Original point (3, -4)
Answer:
Again, I can't move it for you but I can give you the points!
original: (3, -4)
final: (-4, 4)
The sales tax rate is 8% if Jim bought a new Buick and paid a sales tax of 1,920 what was the cost of 1,920
Answer:
24000 I'm guessing you want to know the price of the car.
Step-by-step explanation:
1920/.08=24000
Matthew has 5 1/4 bags of fertilizer to spread around his yard. Each bag of fertilizer will cover 115.4 ft2. How many square feet will Matthew be able to cover if he uses all of the fertilizer?
5_1/4 = 21/4 = 5.25 bags.
To find the number of square feet, multiply
5.25 by 115.4.
So, 5.25 x 115.4 = 259.65 ft^2.
find the area of the trapezoid in square inches.
Answer:
Hello! answer: 64
Step-by-step explanation:
I split this into a triangle and rectangle and did the appropriate formulas for each for square I did base × height and got 48 because 8 × 6 = 48 then for the triangle I did base × height ÷ 2 So I did 8 × 4 = 32 32 ÷ 2 = 16 now I just add these two numbers up! so... 48 + 16 = 64 HOPE THAT HELPS!
Answer:
A = 64 in²
Step-by-step explanation:
Step 1: Add the bases
[tex]10 + 6 = 16[/tex]
Step 2: Multiply that by the height
[tex]16 * 8 = 128[/tex]
Step 3: Divide the result by 2
[tex]\frac{128}{2} = 64[/tex]
Therefore, the area of the trapezoid is 64 in²
Estimate the line of best fit using two points on the line. (8, 80) 100 90 80 70 60 50 40 30 20 10 (2.20) 10 O A. y= 2x O B. y = 2x + 10 O c. y= 10x+ 2 OD. y= 10x
Answer:
[tex]y = 10x[/tex]
Step-by-step explanation:
Given
The attached plot
Required
The line of the best fit using [tex](8,80)[/tex] and [tex](2,20)[/tex]
We have:
[tex](x_1,y_1) = (8,80)[/tex]
[tex](x_2,y_2) = (2,20)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{20 - 80}{2- 8}[/tex]
[tex]m = \frac{-60}{-6}[/tex]
[tex]m = 10[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 10(x - 8) + 80[/tex]
Expand
[tex]y = 10x - 80 + 80[/tex]
[tex]y = 10x[/tex]
The spinner below shows
5 equally sized slices. Yolanda spun the dial
20 times and got the following results. (a) Assuming that the spinner is fair, compute the theoretical probability of landing on grey. (b) From Yolanda's results, compute the experimental probability of landing on grey. (c) Assuming that the spinner is fair, choose the statement below that is true:
As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.
As the number of spins increases, we expect the experimental and theoretical probabilities to become farther apart.
The experimental and theoretical probabilities must always be equal.
A) there are 5 slices and 2 of them are grey.
The theoretical probability to land on grey would be the number of grey slices over the total number of slices: 2/5
B) the experimental probability would be the number of times the spinner landed in grey over the number of times the spinner was spun. From the table the spinner landed on grey 11 times and was spun 20 times. The experimental probability is 11/20
C) not all the answer choices are shown.
But the experimental and theoretical probabilities would most likely be different.
Answer:
From Yolanda's result, compute the experimental porbability of landing on grey
Step-by-step explanation:
Find A in degrees. Round to the
nearest tenth.
С
a = 7
b
b = 4
a а
C = 8
B
B
A
С
A = [?]°
Answer:
8/7
Step-by-step explanation:
Answer:
61 degrees
Step-by-step explanation:
What is the area of the figure? Round to the nearest tenth.
10 m
5 m
4 m
개
A 20.0 m2
B. 40.0 m2
O c. 45.0 m2
OD 50.0 m2
How many gallons of a plant food that is 6% nitrogen must be combined with another plant food that is 30% nitrogen to make 10 gal of a plant food that is 15% nitrogen?
Answer:
x = 6 1/4
y = 3 3/4
Step-by-step explanation:
let 'x' = gallons of 6% nitrogen
let 'y' = gallons of 30% nitrogen
system of equations:
x + y = 10; let y = 10-x
6x + 30y = 10(15)
substitute '10-x':
6x + 30(10-x) = 150
6x + 300 - 30x = 150
-24x = -150
x = 6 1/4
y = 3 3/4
How much does $3,000 earn in six months at an interest rate of 4 compounded quarterly?
Answer:
The final balance is ₹4,926.8.
The total compound interest is ₹3,926.8.
The amount of money that was earned in six months with an interest rate of 4 compounded quarterly will be $3184.6.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
[tex]\rm A = P \left (1 + \dfrac{r}{n} \right ) ^{nt}[/tex]
Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of years.
The principal amount of $3,000 was earned in six months at an interest rate of 4 compounded quarterly. Then the value of n will be 4. Then we have
[tex]A = 3000 \left (1 + \dfrac{0.04}{4} \right )^6[/tex]
Simplify the equation, then we have
A = 3000 (1.01)⁶
A = 3000 x 1.062
A = $3184.6
The amount of money that was earned in six months with an interest rate of 4 compounded quarterly will be $3184.6.
More about the compound interest link is given below.
https://brainly.com/question/25857212
#SPJ2
Five applicants are to be scheduled for job interviews at five given times. On an application form, each applicant was asked to mark two out of the five times. What is the probability that each of them can be interviewed at one of the two times they have marked
Answer:
0.01024
Step-by-step explanation:
Assume marking was done at random : Hence, each of the 5 time slots have equal Chamves of being marked ;
Number of time slots, n = 5
Required to mark, number of preferred timeslot x = 2
P(x) = 2 /5 = 0.4
Probability of 0.4 that an interviewee gets one of his preferred timeslot.
Probability that each of the 5 interviewees gets one of their preferred time slots :
Using the multiplication rule of independence :
0.4 * 0.4 * 0.4 * 0.4 * 0.4 = 0.4^5 = 0.01024
0.01024 * 100% = 1.024%
which number line shows the solution to the inequality below
-4g<4
(look at picture)
Answer:
b
Step-by-step explanation:
make g by itself -> inequality becomes g>-1. Answer choice b fits the criteria
Find angle 1,2,3, and 4 please and thank you
Answer:
i think its 34/1
Step-by-step explanation: because if u plot it by 2
what is going on
I am confused
Answer:
What do you mean?
Step-by-step explanation:
I would suggest adding more info
PLEASE HELP ME IT'S MY LAST GRADE
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Which expression below has a coefficient of 3?
4x +9
5x-3
3x² + 3x4
Answer:
3x^2+3x4
Step-by-step explanation:
the coefficient comes before the variable
ILL GIVE BRAINLEST, please show work :D
answer is 4/9 in^2
2/3 * 2/3 = 4/9
John walks his dog home from the vet. The graph shows the remaining distance from his house as a linear function of x, the number of minutes he spent walking. Find the domain and range of the graph.
Answer:
Step-by-step explanation:
domain is the input, or the x values, range is the output, or y values
x goes from 0 to 40 so that's the domain
y goes from 0 to 4 so that the range
Answer:
Y is more than or equal to 0, but less than or equal to 4.
X is more than or equal to 0, but less than or equal to 40
Step-by-step explanation:
Which is a true statement?
O A. 48 is 25% of 160.
O B. 32 is 40% of 88.
O C. 40 is 60% of 100.
O D. 72 is 80% of 90.
Answer:
D is the answer
Step-by-step explanation:
90 × 80/100 = 72
Answer:
B. 32 is 40% of 88
Step-by-step explanation:
At first i thought it was D, but 72 is really close to 90.. thats like 90% I'm pretty sure its B. 32 is 40%
A keyboard cost -P400.
On sale the price is
reduced to to P360.
calculate the percentage
decrease.
What is 12% of 125? Round each answer to the nearest WHOLE number.
Answer:
10
Step-by-step explanation:
Answer: 15
you do the whole number (125) times the percentage in decimal for (.12)
so its 125 x 0.12 = 15
Which shows 0.124 in expanded form? A. ( 1 × 1 10 ) + ( 2 × 1 100 ) + ( 4 × 1 1000 ) B. 1 + ( 2 × 1 100 ) + ( 4 × 1 1000 ) C. 1 + ( 2 × 1 10 ) + ( 4 × 1 100 ) D. ( 1 × 1 10 ) + ( 20 × 1 100 ) + ( 400 × 1 1000
Answer:
A. ( 1 × 1 / 10 ) + ( 2 × 1 / 100 ) + ( 4 × 1 / 1000 )
Step-by-step explanation:
A number is written in expanded form if it shows the sum of the values of the individual digits that make up the number.
To write 0.124 in expanded form, follow these steps:
(i) Take the digits one after the other and multiply it by its value depending on its place.
Taking the first digit - 0
The value is 0 unit, where a unit is 1
Now multiply 0 by 1
=> 0 x 1
=> 0
Taking the second digit - 1
The value is 1 tenth, where a tenth is 1 / 10
Now multiply 1 by 1 / 10
=> 1 x 1 / 10
Taking the third digit - 2
The value is 2 hundredth, where a hundredth is 1 / 100
Now multiply 2 by 1 / 100
=> 2 x 1 / 100
Taking the fourth digit - 4
The value is 4 thousandth, where a thousandth is 1 / 1000
Now multiply 4 by 1 / 1000
=> 4 x 1 / 1000
(ii) Add the results obtained in (i) above
=> (0 x 1) + ( 1 x 1 / 10) + (2 x 1 / 100) + ( 4 x 1 / 1000)
=> ( 1 x 1 / 10) + (2 x 1 / 100) + ( 4 x 1 / 1000)
Therefore,
0.124 in expanded form is ( 1 × 1 / 10 ) + ( 2 × 1 / 100 ) + ( 4 × 1 / 1000 )
Ica ingin membuat sebuah lampion
berbentuk kubus, panjang rusuknya 15
dm, maka volume lampion Ica adalah
... m?
a. 45
b. 3,375
c. 33,75
d. 3,375
Well the answer is 3,375