In the figure below, B is the center of the circle. NL= 28, OS = 4x-2, RB = 22 and SB = 22. Find the value of x.
Answers
Explanation:
RB and SB are 22 units. Since they are both equal, this means the chords NL and OQ are the same length. This is true whenever the chords are the same distance away from the center.
NL = 28, so OQ = 28 as well.
Furthermore, the radius BP cuts chord OQ in half (because BP is perpendicular to OS), which means OS = 28/2 = 14. We are also told that OS = 4x-22
Therefore,
4x-22 = 14
4x = 14+22
4x = 36
x = 36/4
x = 9
Related Questions
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:115:115, colon, 1. He currently has 404040 grams of the spice blend, and he can go buy more if necessary. He wants to make 101010 servings, where each serving has 757575 grams of rice. Overall, David spends 4.504.504, point, 50 dollars on rice. How many servings can David make with the current amount of spice he has
Answers
Answer:
8 servings
Step-by-step explanation:
At the ratio of 15:1, the 75 grams of rice in one serving will require 75/15 = 5 g of spice. David's inventory of 40 g of spice is enough for ...
40 g/(5 g/serving) = 8 servings
Only 8 servings can be made with the available spice.
Rice to spice ratio = 15 : 1
Number of grams per serving = 75 grams
Grams of spice available = 40 grams
Grams of rice, r required for available spice :
15 grams of rice = 1 gram of spice
r grams of rice = 40 grams of spice
Cross multiply :
r = (40 × 15)
r = 600 grams
The grams of rice which can go with the available spice :
Number of servings = grams of rice / grams per serving
Number of serving = 600 grams / 75 grams
Number of grams per serving = 8
Hence, The number of servings which can be made with the available spice is 8 servings
Learn more : https://brainly.com/question/18796573
Thank you for helping
Answers
Answer:
The answer is option B
Step-by-step explanation:
Using BODMAS the expression in the bracket
that's
( 9 + 3) must be solved first
Hope this helps you
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Answers
Answer:
15.62 = x
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
10 ^2 + 12^2 = x^2
100 +144 = x^2
244 = x^2
Take the square root of each side
sqrt(244) = sqrt(x^2)
15.62049935 = x
Rounding to the nearest hundredth
15.62 = x
Answer:
15.62
Step-by-step explanation:
We can use the Pythagorean Theorem.
10^2+12^2=c^2
100+144=c^2
244=c^2
15.62=c, or x=15.62
23 points! Paige has 3 coats: a pink one, a red one, and a white one. She has a black scarf, a gray scarf and 1 set of white gloves. Determine the different combinations Paige has for staying warm if she always wears a coat, a scarf, and gloves. For your answer, list the total number of possibilities and all possible combinations she has.
Answers
Answer:
6 combinations
Step-by-step explanation:
3 coats => Pink, Red, White
2 Scarves => Black, Grey
Gloves => Only 1
So the combination are drawn in the tree diagram below.
Hi there! Hopefully this helps!
---------------------------------------------------------------------------------------------------------
Since she has 3 coats, 2 scarfs, and 1 glove:
She has 6 ways to choose a coat, a scarf, and a glove(s).
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
My 6 combinations:
1.) Red coat, black scarf, white glove(s).
2.) White coat, grey scarf, white glove(s).
3.) Pink coat, black scarf, white glove(s).
4.) Red coat, grey scarf, white glove(s).
5.) White coat, black scarf, white glove(s).
6.) Pink coat, grey scarf, white glove(s).
solve x^2+5x-2=0 Enter your answers,as exact values, in the boxes.
Answers
Answer:
√33
x = -5/2 ± ---------
2
Step-by-step explanation:
Through completing the square, we get:
x^2 + 5x + (5/2)^2 - (5/2)^2 - 2 = 0, or
(x + 5/2)^2 - 25/4 - 2 = 0.
This simplifies to
(x + 5/2)^2 = 33/4
Taking the square root of both sides yields:
x + 5/2 = ±√(33/4), which can be solved explicityl for x:
√33
x = -5/2 ± ---------
2
The monthly salary of a salesman of a departmental store is Rs 12,500 and an additional payment of 0.5 % on the total monthly sale is provided as commission.
i) Calculate his total income in a month if he makes a total sale of Rs 7,20,000 in that month.
ii) What should be his total sale in the next month so that he can receive a total income of Rs 20,000 in the month?
Answers
Answer:
i. [tex]Total\ Income = Rs\ 16,100[/tex]
ii. [tex]Monthly\ Sales = Rs\ 1,500,000[/tex]
Step-by-step explanation:
Given
[tex]Salary = Rs\ 12,500[/tex]
Commission = 0.5% of Monthly Sales
Calculating his total income is total sales is Rs 720,000
[tex]Total\ Income = Salary + Commission[/tex]
Substitute (0.5% of Monthly Sales) for Commission
[tex]Total\ Income = Salary + (0.5\%\ of\ Monthly\ Sales)[/tex]
Substitute Rs 720,000 for Monthly Sales and Rs 12,500 for Salary
[tex]Total\ Income = Rs\ 12,500 + 0.5\%\ of\ Rs\ 720,000[/tex]
[tex]Total\ Income = Rs\ 12,500 + 0.5\%\ * Rs\ 720,000[/tex]
Convert % to decimal
[tex]Total\ Income = Rs\ 12,500 + 0.005\ * Rs\ 720,000[/tex]
[tex]Total\ Income = Rs\ 12,500 + Rs\ 3,600[/tex]
[tex]Total\ Income = Rs\ 16,100[/tex]
Calculating his total sales if total income = Rs 20,000
Recall that;
[tex]Total\ Income = Salary + Commission[/tex]
Substitute Rs 20,000 for Total Income; Rs 12,500 for Salary and (0.5% of Monthly Sales) for Commission
[tex]Rs\ 20,000 = Rs\ 12,500 + 0.5\%\ of\ Monthly\ Sales[/tex]
Subtract Rs 12,500 from both sides
[tex]Rs\ 20,000 - Rs\ 12,500 = Rs\ 12,500 - Rs\ 12,500 + 0.5\%\ of\ Monthly\ Sales[/tex]
[tex]Rs\ 7,500 = 0.5\%\ of\ Monthly\ Sales[/tex]
[tex]Rs\ 7,500 = 0.5\%\ *\ Monthly\ Sales[/tex]
Divide both sides by 0.5%
[tex]\frac{Rs\ 7,500}{0.5\%} = \frac{0.5\%\ *\ Monthly\ Sales}{0.5\%}[/tex]
[tex]\frac{Rs\ 7,500}{0.5\%} = Monthly\ Sales[/tex]
Convert % to decimal
[tex]\frac{Rs\ 7,500}{0.5\%} = Monthly\ Sales[/tex]
[tex]\frac{Rs\ 7,500}{0.005} = Monthly\ Sales[/tex]
[tex]Rs\ 1,500,000 = Monthly\ Sales[/tex]
[tex]Monthly\ Sales = Rs\ 1,500,000[/tex]
Graph the linear function whose equation is
y - 2 = - * (x + 1) by following these steps:
Answers
Answer:
The slope is -2/3
Step-by-step explanation:
With this its easier to get all of the x's on one side.
distribute the -2/3 to the x and 1. Also add a 2 on each side.
Thats leaves you with y=-2/3x+4/3
You than want to make a chart of x's and y's so you know what this graph looks like
x|y
-3|(10/3)
-2|(8/3)
-1|2
0|(4/3)
1|(2/3)
2|0
3|(-2/3)
To find the slope, it's (y2-y1)/(x2-x1)
So in this case, (0-2)/(2+1)
The slope is (-2/3)
Answer:
Slope = -2/3
Point = (-1,2)
Plot the given point = (-1,2)
Use the slope to plot one more point = (2,0)
Step-by-step explanation:
A manufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle can take no longer than 3 minutes. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)? On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the right of the line is shaded. On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the left of the line is shaded. On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the right of the line is shaded. On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the left of the line is shaded.
Answers
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x -----> time of the first process in minutes
y -----> time of the second process in minutes
we know that
The time of the first process multiplied by 4 (because is repeated 4 times) plus the time of the second process multiplied by 1 (because is repeated only once) must be less than or equal to 3 minutes
so
The inequality that represent this situation is
The solution of the inequality is the shaded area below the solid line
The equation of the solid line is
The y-intercept of the solid line is the point (0,3)
The x-intercept of the solid line is the point (0.75,0)
The slope of the solid line is negative m=-4
using a graphing tool
The solution is the shaded area
The graph in the attached figure
Remember that the time cannot be a negative number
Answer: The answer is the last graph so D
Step-by-step explanation: Pogchamp
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.
(6, 2); parallel to 8x - y = 4
(a) Write the equation of the line in slope-intercept form.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
Answers
Answer:
(a) y=8x-46
(b) 8x-y=46
Step-by-step explanation:
-y=-8x+4
y=8x+4
We know that 8 is the slope, and if we need a equation parallel to this line, then it will have the same slope.
Substitute (6,2)
2=8(6)+b
2=48+b
b=-46
The final answer is y=8x-46
Find the number: 25% of a number is z lb.
Answers
Answer:
Depends on the number.
Step-by-step explanation:
Please help!!! Question is below
Answers
Answer:
A. Obtuse
Step-by-step explanation:
Well we can cross out C and D just by looking at the triangle because the triangle is not equal and there is no right angle.
Also it is not B an acute because not all the angles are acute.
Hence, the answer is A. Obtuse
Answer:
[tex]\boxed{\mathrm{A}}[/tex]
Step-by-step explanation:
An obtuse triangle is a triangle with one obtuse angle and two acute angles.
An obtuse angle is an angle greater than 90 degrees.
An acute angle is an angle less than 90 degrees.
Angle C is an obtuse angle, it is greater than a right angle or 90 degrees.
Angles B and A are acute angles, they are less than a right angle or 90 degrees.
Plz help me 3y+x=7 4x-2y=0
Answers
Answer: 3
Step-by-step explanation:
Write a linear equation in point-slope form for the line that goes through
(-1,1) and (1,-5).
A. y+1 = -3(x+1)
B. y-1 = 3(x+1)
C. y+ 1 = 2(x - 1)
D. y-1=-3(x + 1)
Answers
Answer:
y -1 = -3(x+1)
Step-by-step explanation:
First find the slope
(-1,1) and (1,-5)
m = (y2-y1)/(x2-x1)
= (-5-1)/(1--1)
=-6/ (1+1)
= -6/2
= -3
We are using point slope form
y-y1 = m(x-x1) where m is the slope
y - 1 = -3( x - -1)
y -1 = -3(x+1)
Answer:
The answer is option D.
Step-by-step explanation:
Equation of a line is y= mx + c
where m is the slope
Slope of the line using points
(-1,1) and (1,-5) is
[tex] \frac{ - 5 - 1}{ 1 + 1} = \frac{ - 6}{2} = - 3[/tex]
Therefore the equation of the line using point (-1,1) is
y - 1 = - 3( x + 1)Hope this helps you
If sin ZA = { and cos ZA = }, what is tan ZA?
Answers
Answer:
A: 3/4
Step-by-step explanation:
sine is the length of the opposite side / length the hypotenuse side
cosine is the length of the adjacent side / length the hypotenuse side
using what's given:
the opposite side has a length of 3the adjacent side has a length of 4the hypotenuse side has a length of 5Tangent is the ratio between the opposite side length and the adjacent side length (opp/adj). With our givens, this means tan(A) = 3/4. See image for more.
Answer:
A
Step-by-step explanation:
HELP NOW A dartboard has 20 equally divided wedges, and you are awarded the number of points in the section your dart lands in. If you are equally likely to land in any wedge, what is the probability you will score more than 10 points?
Answers
Answer:
1/2 (or) 0.50 (or) 50%
Step-by-step explanation:
10 out of 20 wedges are worth more than 10.
10/20 = 1/2 (or) 0.50 (or) 50%
Answer:
0.75
Step-by-step explanation:
Complete this item. Identify angle1 and angle2. Select all that apply off the following terms: acute, right, obtuse, adjacent, vertical, complementary, supplementary.
Answers
Answer:
Angles 1 and 2 are both obtuse and adjacent.
Step-by-step explanation:
We can go about this systematically.
Acute: They are not acute. Looking at the angles, we can assume that they are greater than 90°.
Right: Greater than 90°, not equal, so not right.
Obtuse: Greater than 90°, so it's obtuse.
Adjacent: The angles are next to each other, so they are adjacent.
Vertical: They share a vertex, but they are not opposite to each other.
Complementary: They do not form a right angle together.
Supplementary: They do not form a straight angle together.
---
I hope this helps, let me know if you have any questions.
Correct Answers:
right
vertical
supplementary
I finished the quiz, it's correct. They're both 90 degree [right] angles, they're across from each other and therefore they're vertical, and they both add up to 180 degrees total, which means that they're supplementary.
pre-algebra !!!. A class contains 3 female and 9 male students. Find the probability that a student chosen at random is a male, and then a second student chosen at random from the remaining students is also male. 9/16 3/4 1/2 6/11 None of the above
Answers
Answer:
D
Step-by-step explanation:
The first student is from a class of 12.
The first student = 9/12 for the fist male.
The second male is 8 out of 11.
The probability of both being males is
9/12 * 8/11 = 3/4 * 8/11 = 6/11
The pair of points is on the graph of an inverse variation. Find the missing value.
(5, 4) and (x, 7)
Answers
Answer:
20/7 or 2 and 6/7
Step-by-step explanation:
convert it into the equation 5=k/4
so 5x4 is 20
k=20
then x=20/y
and y is 7
so the answer is 20/7
One day the temperature was 72°F. That night, the temperature was 44°F. What number represents the change in temperature?
Answers
Answer:
28°F
Step-by-step explanation:
We can find the change in temperature by subtracting 44 from 72:
72 - 44 = 28
So, the change in temperature was 28°F
Reason being is when you would like to find the difference between 2 numbers, you take the larger one and subtract it by the smaller, thus giving you how far apart they are
In this case 72°-44°=28°
can you draw a quadrilateral with no parallel lines and at least one right angle?
Answers
Answer:
Yes
Step-by-step explanation:
We can draw a quadrilateral with no parallel lines and at least one right angle
Answer:
Yes
Step-by-step explanation:
It's possible to draw a quadrilateral with no parallel lines and with 1 right angle
I really hope this helps I know how you feel (:-D)
Write an equation of a line that has a y-intercept at (0, -6)
Answers
Answer:
[tex]y=x-6[/tex]
Step-by-step explanation:
First to write this equation you will need to know slope intercept form which is the equation that the people that wrote this problem are presumably looking for. Slope intercept form can be simply written as [tex]y=mx+b[/tex] . The variable [tex]m[/tex] would be the slope while the variable [tex]b[/tex] would be the y -intercept.
So to find out this we would have to assume that m or the slope would have to be 1 so we would have [tex]y=1x+b[/tex] or [tex]y=x+b[/tex].
Now we have the first half of the equation we can move on to the variable [tex]b[/tex] or the y-intercept (0,-6) . To find the variable [tex]b[/tex] we will just have to graph the point (0,-6) which as you can see from the picture is the y-intercept and that is -6 units below 0. So the final answer will be [tex]y=x-6[/tex]
y=-5x-6
y=x-6
Any line y=Cx-6
find the value of a in this picture below
Answers
Answer:
[tex]\boxed{a=40}[/tex]
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
[tex]a[/tex] is equivalent to all the other [tex]a[/tex].
Put up an equation and solve for [tex]a[/tex].
[tex]60+a+a+a=180[/tex]
[tex]3a+60=180[/tex]
[tex]3a=120[/tex]
[tex]a=40[/tex]
Answer:
Step-by-step explanation:
in the given figure;
a+60deg.+a+a=180 deg.
=> 3a+60=180
=> 3a=180-60
=> 3a=120
=> a=120/3
=40 deg.
2 3 4 5 6 7 8 9 10 TIME REMAINING 58:34 The graph for the equation y = x minus 4 is shown below. On a coordinate plane, a line goes through (0, negative 4) and (4, 0). Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions? y minus x = negative 4 y minus x = negative 2 y minus 4 = x y + 4 x = 1 Mark this and return Save and Exit
Answers
Answer:
The answer is y minus x = negative 4
or c for short
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
i got it right on the test
The function ƒ(x) = 6x is vertically shrunk by a factor of ½ and translated 9 units in the negative y- direction. Select the correct graph of the resulting function.
Answers
Step-by-step explanation:
The graph on the left is f(x). The roots -- the x-intercepts -- are −3, −1, 2. The middle graph is f(−x), which is its reflection about the y-axis. The graph on the right is −f(x), which is its reflection about the x-axis.
Answer:
The graph on the left is f(x). The roots -- the x-intercepts -- are −3, −1, 2. The middle graph is f(−x), which is its reflection about the y-axis. The graph on the right is −f(x), which is its reflection about the x-axis.
Step-by-step explanation:
this was correct
?help..........thanks you for helping me
Answers
Answer:
Step-by-step explanation:
cost of one box = RS20
IT IS 20 TIMES MORE THAN COST OF ONE BOX
Answer:
The cost of 1 small box of mixed organic vegetables is $20. The cost of 20 small boxes of vegetables is $380 more than the cost of 1 small box.
Step-by-step explanation:
Since the cost of 9 small boxes is $180, we can divide both by 9 to get the price of one small box. 180/9=20. The cost of 20 small boxes is 20 boxes multiplied by 20 dollars, which is 400 dollars. $400-$20=$380.
Write each of the following expressions without using absolute value: PLEASE HELP I WILL MAKE BRAINLIEST TO WHOEVER GETS BOTH OF THEM RIGHT
Answers
Answer:
7
Step-by-step explanation:
Mandana is ordering new tile for her kitchen floor. The area of the floor is 111.8 square feet, and she wants to order between 15% and 20% extra of the materials. Which of the following is a reasonable amount of tile for Mandana to order?
Answers
Answer:
132 tiles
Step-by-step explanation:
We would just take the average of 15% and 20% which would be 17.5% and we could round up to 18% so 18% of 111.8 is 20.124 and if you add them together you would get 131.9 and that rounds up to 132 tiles.
Explain how to create a Stem-and-Leaf plot using the 6 rules. And write down what the 6 rules are.
Answers
Answer:
The 6 rules/steps are below
Step-by-step explanation:
1. determine the smallest and largest number
2. Using the largest and smallest number, make sure that your graph can fit both of those numbers
3. identify the stems/tens place
4. fill in the leaves/ones place
5. Sort them from lowest to highest
6. Check
pls help !
simplify
Answers
Answer:
B
Step-by-step explanation:
Sqaure roots can be rewritten as fractions.
The numerator will be rewritten as 6^(1/4)
The denominator will he written as 6^(1/5)
Now u can subtract the power, but u have to find a common denominator so it is now (5/20)-(4/20)
The denominator stays the same so you are left with 1/20 which is still the power over 6
6^1/20
Answer:
[tex]6^{\frac{1}{20} }[/tex]
Step-by-step explanation:
[tex]6^{\frac{1}{4} } /6^{\frac{1}{5} }[/tex]
1/4 - 1/5 = 1/20
If a = 4 and b = 7, what is the value of the following expression? 20 ÷ a + 7 • b A. 28 B. 84 C. 54 D. 33
Answers
Answer:
54
Step-by-step explanation:
20 ÷ a + 7 • b
Let a = 4 and b = 7
20 ÷ 4 + 7 • 7
Multiply and divide first
5 + 49
Then add
54
Answer:
54
Step-by-step explanation:
a=4 b=7
20/4=5
7✖️7=49
5+49=54
Hope this helps you!