According to the given data the value of the triangle's angle is m ∠ A =30
What is the triangle's angles?A triangle's inner angles always add up to 180°, whereas its outside angles are equivalent to the sum of its two inside angles. equal toward the combination of the two nearest interior angles Another method for calculating a triangle's exterior angle is to subtract overall angle of something like the vertex of concern from 180°.
According to the given data:m ∠ R=41
m ∠S=109
find m∠ A
We know that the total of the triangle's angles must equal 180°.
So ,
(substitute given values)
m ∠R+ m ∠S +m ∠A =180
(add)
41 + 109 + m ∠A =180
(subtract 150 from both side)
150+m∠A =180
m ∠ A =30
According to the given data the value of the triangle's angle is m ∠ A =30
To know more about triangle's angle visit:
https://brainly.com/question/27682397
#SPJ4
There were 323232 volunteers to donate blood. Unfortunately, nnn of the volunteers did not meet the health requirements, so they couldn't donate. The rest of the volunteers donated 470470470 milliliters each.
How many milliliters of blood did the volunteers donate?
Write your answer as an expression.
The number of milliliters of blood the volunteers donated will be given by expression 470(32 - n).
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
There were 32 volunteers to donate blood. Unfortunately, n of the volunteers did not meet the health requirements, so they couldn't donate. The rest of the volunteers donated 470 milliliters each.
Then the expression will be given as
⇒ 470(32 - n)
The number of milliliters of blood the volunteers donated will be given by expression 470(32 - n).
More about the value of expression link is given below.
https://brainly.com/question/23671908
#SPJ1
please help!!!!!!! need the right answer in like before 15 minutes please
45 because it's 45 and I'm smart with a PhD in maths
The mass of a paper clip is 5.0 x 10^−4 mg. If a box of paper clips has 6.85 x 10^4 paper clips, determine the total mass of the paper clips in the box. Write the final answer in scientific notation with the correct number of significant digits.
=====================================================
Explanation:
Multiply the given values. This is because,
total mass = (number of paperclips)*(mass per paperclip)
So,
(5.0 x 10^−4)(6.85 x 10^4)
(5.0 * 6.85) x (10^−4 * 10^4)
34.25 x 10^(-4+4)
34.25 x 10^0
(3.425 x 10^1) x 10^0
3.425 x 10^(1+0)
3.425 x 10^1
3.4 x 10^1
We round the first value to 2 sig figs because it is the smaller sig fig count of 5.0 and 6.85; the 0 in 5.0 is significant.
Notice how I rewrote 34.25 into 3.425 x 10^1. I did this to get the number in the form a x 10^b, where [tex]0 \le a < 10[/tex], which fits scientific notation form.
The value 3.4 x 10^1 simplifies to 34. So an estimate of the total mass is about 34 mg. But we'll stick with scientific notation since your teacher instructed it.
Determine whether the statement is true or false. If it is false, rewrite it as a true statement. In a frequency distribution, the class width is the distance between the lower and upper limits of a class. Question content area bottom Part 1 Choose the correct answer below. A. True. B. False. In a frequency distribution, the class width is the distance between the lower or upper limits of consecutive classes. C. False. In a frequency distribution, the range is the distance between the lower and upper limits of a class.
Given statement is False and the True statement is 'In a frequency distribution, the class width is the distance between the lower or upper limits of consecutive classes.'
The correct answer is an option (B)
In this question, we have been given a statement 'In a frequency distribution, the class width is the distance between the lower and upper limits of a class.'
We need to determine whether the given statement is True or False.
We know that, the class width is the distance between the lower limits of consecutive classes.
So, the given statement is False.
The correct statement is 'In a frequency distribution, the class width is the distance between the lower or upper limits of consecutive classes. '
Therefore, given statement is False and the True statement is 'In a frequency distribution, the class width is the distance between the lower or upper limits of consecutive classes.'
The correct answer is an option (B)
Learn more about the class width here:
https://brainly.com/question/13769995
#SPJ1
Solve for x.
2x + 0.8 = 1.2
9
x = [?]
Step-by-step explanation:
2x=1.2-0.8
2x=0.4
x=0.4/2=0.2
Explain how point-slope form is related to the formula for slope.
The point slope form finds the equation of a straight line that passes through a given point and is inclined to the x-axis. Each point on a line must satisfy the line's equation. Two-variable linear equations symbolize lines. The point slope formula is utilized when we know the line's slope and a point. The next section explains the point slope form and how to calculate its formula.
The equation of a straight line that is inclined at a particular angle to the x-axis and passes at a given point may be found by using the point slope form. This form is used to get the equation of the line. An equation may be said to be the equation of a line if it can be shown to be fulfilled by every point along the line. This indicates that a line is represented by a linear equation that has two variables. Whereas the Point slope formula is only used in situations in which both the slope of the line and a point on the line are known. In the next part, let's get more in-depth knowledge about the point slope form as well as how to derive the formula that is used to express the point slope form.
Learn more about point slope form-
https://brainly.com/question/24907633
is (10^4 + 10^3 + 10^2) divisible by 37?
Kole and his sister ordered ice cream. He spent $6.50 for his sundae. She ordered the same sundae with sprinkles, which were an extra $0.40. Kole pays for his ice cream and half of his sisters with $10. How much change will he get back?
Pls explain it step by step
Answer:
$6.95
Step-by-step explanation:
Kole: $ 6.50
His sister : $6.50+$0.40
= $6.90
Half of his sister: $6.90/2 =$3.45
$10-($6.50 +$3.45)
=$10-$3.05
=$6.95
Barbara deposits $3,000 in a 1-year CD at 1.1% interest, compounded daily. What is the APY to the nearest hundredth of a percent?
neverminding the amount of $3000, we know the compound interest is 1.1%, we also know that the compounding period is daily, so hmmm let's assume there are 365days in a year, so
[tex]~~~~~~ \textit{Annual Percent Yield Formula} \\\\ ~~~~~~~~~~~~ \left(1+\frac{r}{n}\right)^{n}-1~\hfill \begin{cases} r=rate\to 1.1\%\to \frac{1.1}{100}\dotfill &0.011\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, so let's assume 365} \end{array}\dotfill &365 \end{cases} \\\\\\ \left(1+\frac{0.011}{365}\right)^{365}-1 ~~ \approx ~~ 0.01106055 ~~ \approx ~~ 1.106055\% ~~ \approx 1.11\%[/tex]
Which value represents |-2½?
OA) 2%2₂
OB) -2½
OC) 2
OD) 3
The numeric value of the question is present in the in the option B. Thus, Option B is a correct option.
According to the statement
We have to find that the Numeric value.
So, For this purpose, we know that the
The Number value is the value refers to the worth of each digit depending on where it lies in the number.
From the given information:
The given value is a -2½.
And we have to find that the in which option the given value in the question is placed.
For example, if the value in the given question is a 1 then the in which option we have given value is 1.
Then
according to the statement,
In option B the value is similar to the those value which is given in the question.
So, The numeric value of the question is present in the in the option B. Thus, Option B is a correct option.
Learn more about numeric value here
https://brainly.com/question/15224258
#SPJ9
Need help asap please
Answer:
1) the center is (3,4), radius is 3. 3) ( x − 2 )^2 + ( y − 14 )^2 = 9, 5) the center is (12,5), the radius is 4
Step-by-step explanation:
For the graphs just look for the middle point, and thats essentially your center, and the radius is how many units the edge of the circle is to the center. So for 1 the center would be (3,4) and the radius 3. For problem 3 use the equation ( x − a )^2 + ( y − b )^2 = r^2, where you substitute the radius for r, your x center coordinate as a, and your y coordinate as b. In problem 5, use 12 as your x value for the center coordinate, and 5 as your y value. Then just take the root of 16 to get your radius, and apply that to the other problem. Hope this helps :)
In an arithmetic sequence:
S14 = -63
a14 = -24
Find the first term, a₁, of the sequence.
Answer:
a₁ = 15
Step-by-step explanation:
the sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
given S₁₄ = - 63 , then
[tex]\frac{14}{2}[/tex] [ 2a₁ + 13d ] = - 63
7(2a₁ + 13d) = - 63 ( divide both sides by 7 )
2a₁ + 13d = - 9 → (1)
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
given a₁₄ = - 24 , then
a₁ + 13d = - 24 → (2)
subtract (2) from (1) term by term to eliminate d
a₁ + 0 = - 9 - (- 24)
a₁ = - 9 + 24 = 15
Sadie has worked at a cell phone store for nine months. Her sales are denoted by the set {5, 7, 8, 21, 15, 18, 5, 13, 14}. Which five-number summary represents the data set?
{5, 6, 13, 16.5, 21}
{5, 14.5, 15, 9, 14}
{5, 7, 13, 16, 21}
{5, 7, 13, 15, 18}
Answer: 5, 7, 13, 15, 18
Step-by-step explanation:
a. You ride your bike to a store, 4 mi away, to pick up things for dinner. When there is no wind, you ride at 10 mi/h. Today your trip to the store and back took 1 hour. What was the speed of the wind today?
The speed of the wind today is 6 miles per hour.
We know that speed = distance / time .........(1)
You ride your bike to a store, 4 mi away, to pick up things for dinner.
Here, distance = 4 miles
When there is no wind, you ride at 10 mi/h.
So, using above formula (1),
⇒ 10 = 4 / t
⇒ t = 10/4
⇒ t = 2.5 hours
This means, it takes 2.5 hours for you to get to the store on a day without wind.
Today your trip to the store and back took 1 hour.
We need to find the speed of the wind.
Let 's' be the speed of the wind.
So using above formula (1),
⇒ (10 - s) = 4 / 1
⇒ 10 - s = 4
⇒ s = 6 mi/h
Therefore, the speed of the wind today is 6 miles per hour.
Learn more about the speed here:
https://brainly.com/question/3012585
#SPJ4
Which line is parallel to the line 5 x+6 y=30 ?
f. 5 x+9 y=30
g. 9 x+6 y=30
h. 5 x+6 y=9
i. 6 x+5 y=30
The equation of the line h. 5x + 6y = 9 is parallel with the equation of the line 5x + 6y = 30.
Two lines are parallel with each other if they do not intersect no matter how much you extend both lines. Parallel lines have equal slopes.
The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points. In an equation in slope-intercept form, y = mx + b, the slope, m is the coefficient of x.
Determine the slope of the given line and each given choices by transforming each into slope-intercept form.
5x + 6y = 30
6y = -5x + 30
y = -5/6 x + 30/6
y = -5/6 x + 5
m = -5/6
f. 5x + 9y = 30
9y = -5x + 30
y = -5/9 x + 30/9
y = -5/9 x + 10/3
m = -5/9
g. 9x + 6y = 30
6y = -9x + 30
y = -9/6 x + 30/6
y = -3/2 x + 5
m = -3/2
h. 5x + 6y = 9
6y = -5x + 9
y = -5/6 x + 9/6
y = -5/6 x + 3/2
m = -5/6
i. 6x + 5y = 30
5y = -6x + 30
y = -6/5 x + 30/5
y = -6/5 x + 6
m = -6/5
Since h. 5x + 6y = 9 has a slope of -5/6 and equal to the slope of the given line, then they are parallel lines.
Learn more about parallel lines here: https://brainly.com/question/13763238
#SPJ4
For each rational function, find any points of discontinuity.
y=1 / x² - 5x+6
To find the discontinuities, we need to factor the polynomial below. Once we have the two binomials, we set each to 0. This way, you can find the value that produces 0 in the denominator.
Let's factor x2−5x+6
x2−5x+6
The middle number is -5, and the last number is 6.
Factoring means we want something like
(x+_) (x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -5
Multiply together to get 6
Can you think of the two numbers?
Try -2 and -3:
-2+-3 = -5
-2*-3 = 6
Fill in the blanks in
(x+_) (x+_)
with -2 and -3 to get...
(x-2) (x-3)
Since you cannot divide by 0, the discontinuities at these points exist as a vertical asymptote. Therefore, the vertical asymptote exists at x= two and x= 3.
More similar problems are solved in the given link below.
https://brainly.com/question/27914791?referrer=searchResults
#SPJ4
Simplify-100
-10
-10/
10/
10
Find the center and the radius of each circle. x²+y²=2
The equation of the circle x^2 + y^2 = 2 has a radius of √2 and a center located at (0 , 0).
The standard form of the equation of circle is given by
(x - h)^2 + (y - k)^2 = r^2
where (h , k) is the location of the center and r is the radius of the circle.
On the other hand, the general form of the equation of circle is given by
x^2 + y^2 + Dx + Ey + F = 0
where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.
If the equation of the circle, x^2 + y^2 = 2, is in standard form, then
h = 0
k = 0
r = √2
Learn more about equation of a circle here: https://brainly.com/question/1559324
#SPJ4
r^2 + 5x– 14
factor
Answer:
it is not factorable
Step-by-step explanation:
Please help me pass
Answer:
I would say y=3x+6
Step-by-step explanation:
Pls pls help whoever gets it right gets a crown
Answer:
last one is the correct one
Mark please
Use the spinner to find following probability. The spinner is spun again if it stops on a line.
P (pointer landing on red)
The spinner's point has a 11.11% chance of landing on red.
What is a pie chart, exactly?A pie chart is a type of chart which displays data as a circular graph.
We comprehend that the pie's total value is always 100%. It is also assumed that a circle has a circumference of 360°. As a result, the sum of all pieces of data equals 360°. Based on these, there appear to be primarily two pie chart formulas:
We use the mentioned format to calculate a percentage of a set of data: 100 (Frequency ÷ Total Frequency) × 100We use the following equations to convert the data to degrees: (Informed Data ÷ Total value of Data) × 360°Now, the stated data of the pie chart are-
When a circle is wholly rotated, the center forms a 360-degree angle.
A complete rotation at the central point of the circle yields 360 degrees.
The total color percentage is 100%.
Divide a red value by 3.6 because 360 ° / 100% = 3.6.
The spinner's pointer displays an overall percentage of red of 40%.
P = 40/3.6 (probability of each pointer landing on red).
P = 11.111.. = 11.11 (pointer landing on red) (approx.)
As an outcome, the pointer has a 11.11% chance of landing on the red.
To know more about pie chart, here
brainly.com/question/24253422
#SPJ4
Suppose you use the origin to test whether a linear equation is a direct variation function. Does this method work? Support your answer with an example.
The linear equation with a direct variation function always passes through the origin.
What are direct variation functions?
The direct variation function defines a linear function of the form y = kx, where y varies as a multiple of x and x 0. These always follow the origin test.
Calculation
Yes, the method will always work because the linear equations having direct variations are those equations which always pass through the origin.
For example: If we consider an equation y = 3x. Then, it will always pass through the origin as y changes with respect to some multiples of x.
Hence, the direct variation function always passes through the origin.
To learn more about the direct variation function, visit the link given below:
https://brainly.com/question/4055532
#SPJ4
The height of a thrown football, in feet after t seconds is given by h(t) =-16^2+48^t+6. How many seconds does it take for the balls to reach maximum height after it is thrown?
Answer:
I don't know rjdjdjjdjddjidis
Five million four thousand three hundred in standard form (maths watch)
In a class of 28 sluderds, 14 take physics and
22 take mathematics. The students in the class
take at least one of the two subjects;
Calculate how many
students take both subjects
It can be solved using a Venn diagram. Total 8 students took both subjects.
Describe the Venn diagram.A Venn diagram uses overlapping circles or other shapes to represent the relationships between two or more groups of objects. They typically serve to attractively organize objects, highlighting both the similarities and differences between the components. In the fields of mathematics, statistics, logic, education, linguistics, computer science, and business, Venn diagrams are extensively utilized.
It can be solved using a Venn diagram as
14 students take Physics, 6 students take mathematics and the rest 8 take both subjects.
where, 14(Physics) + 6(mathematics) + 8(both) = 28 (which is the total no. of students).
To know more about Venn diagrams, click on the link
https://brainly.com/question/9180480
#SPJ9
Find the equation of a line passing through (2,2) and perpendicular to -x+3y=-6. Write your answer in slope-intercept form and leave all numbers as a reduced fraction
The line's equation is y=3x-4.
What is Equation of line?
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation where the slope of line is m and b is the y- intercept. The slope is defined as
m = (y-y1)/(x-x1)
Given:
For two lines to be perpendicular to each other, they must have slopes that are negative reciprocals of each other (i.e. the negative reciprocal of n is -1/n). The slope of the given line is –1/3 which means the slope of a line perpendicular to it would be 3.
From the given slope equation of the line
y=3x+b,
where b is the y-intercept. Since we know the line passes through the point (2,2).
(y-2)/(x-2) = 3
y-2 = 3*(x-2)
y=3x-6+2
y=3x-4
The value of b = -4
Therefore, the equation of the second line is y=3x-4.
To learn more about equation of line visit:
https://brainly.com/question/21511618
#SPJ9
Identify a pattern and find the next three numbers in the pattern.
1,3,9,27,81, . . .
The pattern exists described as a sequence of repeating objects, shapes, or numbers. Patterns can also occasionally be referred to as a series.
The pattern follows the rule tn = t(n-1) × 3
The next three numbers be 1, 3, 9, 27, 81, 243, 729, 2187.
What is meant by pattern?A recurring arrangement of numbers, forms, colors, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.
Let the numbers in the pattern be 1, 3, 9, 27, 81, . . .
t2 = 1 × 3 = 3
t3 = 3 × 3 = 9
t4 = 9 × 3 = 27
t5 = 27 × 3 = 81
t6 = 81 × 3 = 243
t7 = 243 × 3 = 729
t8 = 729 × 3 = 2187
Thus the pattern follows the rule tn = t(n-1)×3
Therefore, the next three numbers be 1, 3, 9, 27, 81, 243, 729, 2187.
To learn more about identifying patterns, refer to:
brainly.com/question/24565868
#SPJ4
Jenny's Bakery sells carrot muffins at 2 each. The electricity to run the oven is 120 per day and the cost of making one carrot muffin is 1.40 . How many muffins need to be sold each day to break even?
If Jenny's Bakery sells carrot muffins at 2 each and the electricity to run the oven is 120 per day and the cost of making one carrot muffin is 1.40, then the number of muffins needed to be sold each day to break even is equal to 200.
The number of muffins needed to be sold each to break even can be determined by forming a linear equation.
A linear equation, sometimes also referred to as a first-degree equation can be described as an equation that contains variables that have the maximum power of not more than one.
The linear equation for this problem will be,
Cost of electricity to run the oven + Cost of making x number of muffins = Sale price of x number of muffins
120 + 1.40 (x) = 2 (x)
Here x is equal to the number of muffins
Rearranging the equation,
120 = 2(x) - 1.40 (x)
120 = 0.6 (x)
120/0.6 = x
x = 200
Hence, 200 muffins are needed to be sold each day to break even.
To learn more about linear equations, click here:
https://brainly.com/question/12788590
#SPJ4
ASAP Please
Three of the angles in a quadrilateral are 100°, 65° and 100°.
a. Show how you can calculate the fourth angle.
b. Suggest which type of quadrilateral this shape may be.
a. 95 b. kite
Step-by-step explanation:
a. all quadrilaterals add up to 360° angle with all angles, so 100+100+65=265, 360-265=95.
b. most quadrilaterals have 2 pairs of 2 equilateral angles, and this is one of the only ones that doesnt.
Answer:
a) 95°
b) Kite
Step-by-step explanation:
Part (a)Theorem: Interior angles of a quadrilateral sum to 360°.
Given angles:
100°65°100°Let x be the unknown angle.
⇒ 100° + 65° + 100° + x = 360°
⇒ 265° + x = 360°
⇒ 265° + x - 265° = 360° - 265°
⇒ x = 95°
Therefore, the fourth angle is 95°.
Part (b)A kite is a quadrilateral that has one pair of congruent opposite angles.
Therefore, as two of the interior angles of the given quadrilateral are equal, the shape may be a kite.
