Answers
2a-9 +a = 90 degrees
3a -9 = 90
3a = 99
a = 33
angle GEF is 33 degrees
Related Questions
Three sides of a fence and an existing wall form a rectangular enclosure. the total length of fence used for three sides is 240 ft. write the area function in terms of one variable, then find the domain of that function
Answers
x+2y=240 ft
then
2y=240-x
y=(240-x)/2=120-x/2
The area of the rectangular enclosure is determined by the function
[tex]A(x)=x \cdot y =x \cdot (120-x/2)[/tex] (square feet)
both width and length must be >0,
so we must have:
i) x>0
ii) 120-x/2>0 (at the same time)
solving the second inequation:
120-x/2>0
120>x/2
240>x
so x must be smaller than 240, but also larger than 0.
Thus the domain is (0, 240)
Answer: Domain: (0, 240)
the perimeter of a square picture frame is 48 inches. one side length of the frame is 30.48 centimeters. how many centimeters are in an inch?
The answer is 2.54 centimeters but i need help with my work
Answers
Which expression represents the phrase, "one third the sum of 12 and a number"?
Answers
you must get the sum first before you can one third it
hope this helps
Let
x--------> the number
we know that
1) the phrase, "the sum of 12 and a number"
represent the expression --------> [tex](12+x)[/tex]
and
2) the complete phrase, "one third the sum of 12 and a number"
represent the expression --------> [tex]\frac{1}{3}(12+x)[/tex]
therefore
the answer is
[tex]\frac{1}{3}(12+x)[/tex]
Jana is thinking of a number. If she divides her number by 12 and then multiplies the quotient by 8, the result is 520. What number is Jana thinking of?
Answers
Over the past ten years, the town's population doubled in size. The population is currently 12,000. What was the population ten years ago?
Which of the following represents the given word problem if "P" represents the population ten years ago?
Answers
Twice a number is added to the number and the answer is 90. find the number
Answers
so the pther number becomes 2x
According to question
x+ 2x = 90
3x = 90
x = 30
so, the first number = 30
and the other one is 2x = 2 (30) = 60.
Find the perimeter of the polygon with the vertices g(2, 4), h(2,−3), j(−2,−3), g(2, 4), h(2,−3), j(−2,−3), and k(−2, 4)k(−2, 4).
Answers
Help In Math Please!!
The graphic shows the average number of points scored per game for ten players in the NBA.
What is the interquartile range (IQR) of the data set.
A) 1.1
B) 4.9
C) 6.9
D) 9.8
Answers
Since the given dataset is already arranged in order.
We obtain the Q1 and the Q3 data values.
The Q1 value is the value for which 25% of the datavalues lie below it. For the given dataset, the Q1 value is 24.
Similarly, the Q3 value is the value for which 25% of the datavalues lie above it. For the given dataset, the Q1 value is 28.9.
The interquartile range is given by
IQR = Q3 - Q1 = 28.9 - 24 = 4.9
Therefore, the interquartile range (IQR) of the data set is 4.9.
Answer:
The other answer for USA TP is 26.25
Step-by-step explanation:
The mean is the average of the numbers.
29.8 + 29.6 + 28.9 + 27.1 + 26.4 + 25.5 + 24.5 + 24.0 + 23.8 + 22.9
10
= 26.25
Write an equation that represents degrees fahrenheit in terms of degrees celsius. let xx represent the temperature in degrees celsius and let yy represent the temperature in degrees fahrenheit.
Answers
[tex]F - 32 = \frac{9C}{5} [/tex]
We can write it also as
[tex]F = \frac{9C}{5}+32 [/tex]
F as y and C as x then we can write it as
[tex]y = \frac{9x}{5} + 32 [/tex]
An equation is formed of two equal expressions. An equation that represents degrees Fahrenheit in terms of degrees celsius is y=(9/5)x+32.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation to covert degrees fahrenheit to degrees celsius is given as,
(C × 9/5) + 32 = F
where C represents temperature in degrees Celcius and F represents the temperature in degrees Fahrenheit.
Now, we need to represent the degree Celcius by x, while the degree Fahrenheit by y. Therefore, the above equation can be rewritten as,
y = (x × 9/5) + 32
y = (9/5)x + 32
Hence, an equation that represents degrees Fahrenheit in terms of degrees celsius is y=(9/5)x+32.
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Claire made 1⁄2 pound of trail mix. If she puts 1⁄4 pound of trail mix into each bag, how many bags are filled?
Answers
How many n's are there in an atom of p-33?
Answers
What is 7 more than five times the number 9 divided by 15?
Answers
Answer:
7 more than five times the number 9 divided by 15 is, 10
Step-by-step explanation:
As per the statement:
7 more than five times the number 9 divided by 15
"five times the number 9" translated to [tex]5 \times 9 = 45[/tex]
"five times the number 9 divided by 15" translated to [tex]\frac{45}{15} = 3[/tex]
then;
"7 more than five times the number 9" divided by 15 means 7 + 3 = 10
Therefore, 7 more than five times the number 9 divided by 15 is, 10
Answer:
10
Step-by-step explanation:
Hope this helps!
Laura drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 8 hours. when laura drove home, there was no traffic and the trip only took 6 hours. if her average rate was 16 miles per hour faster on the trip home, how far away does laura live from the mountains
Answers
To find the distance Laura lives from the mountains, calculate her average speed when driving to the mountains and use the time taken during the trip. With the given speeds and travel times, the distance can be determined using a simple equation.
Explanation:To find the distance Laura lives from the mountains:
Let x be Laura's average speed when driving to the mountains.Since Laura drove 16 mph faster on the way home, her speed returning was x+16 mph.Distance to mountains = x * 8 (hours) and distance from mountains = (x+16) * 6 (hours).Set up the equation: x * 8 = (x+16) * 6 to solve for x.Once x is found, the distance Laura lives from the mountains can be calculated as x * 8.
4 pieces of wood each 11 and a half inches long are required to build a cabinet. If all four pieces are cut from one board and 1 inch is allowed for waste in cutting each piece, how long should the board be?
Answers
4 * 11.5 = 46 inches
then, we have 1 inch of waste allowed fir each piece, so the total waste is 4*1 = 4 inches
finally, we will add the length of the waste to the desired length to get the total length of the board as follows:
total length of board = 46+4 = 50 inches
Subtract the polynomials: (3x2 + 2x + 4) - (x2 + 2x + 1). Enter your answer as a polynomial in descending order below, and use the caret (^) for exponents. For example, you would write as 4x^2.
Answers
3x^2 + 2x + 4
x^2 + 2x + 1
Now subtract straight down
3x^2 - x^2 = 3x^2 - 1x^2 = 2x^2
2x - 2x = 0x = 0
4 - 1 = 3
The results of 2x^2, 0 and 3 are added up to get 2x^2 + 0 + 3 and that turns into 2x^2 + 3
Answer: 2x^2 + 3
if you live in Dallas then you live in Texas what is the biconditional of this
Answers
The biconditional of the statement 'If you live in Dallas then you live in Texas' is 'You live in Dallas if and only if you live in Texas'. This means that living in Dallas is both necessary and sufficient for living in Texas.
Explanation:The biconditional of the statement 'If you live in Dallas then you live in Texas' would be 'You live in Dallas if and only if you live in Texas'. In other words, living in Dallas is both necessary and sufficient for living in Texas. This means that if one condition is true, then the other must also be true. Similarly, if one condition is false, then the other must also be false. A biconditional statement essentially equates the truth of two conditions.
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what is the area of a circular mirror with a radius of 10 cm?
Answers
area=3.14 x 10squared
area= 314
the answer is 314
Final answer:
The area of a circular mirror with a radius of 10 cm is calculated using the formula πr², which results in an area of 314.16 cm².
Explanation:
The area of a circular mirror can be calculated using the formula πr², where π (pi) is approximately 3.1416 and r is the radius of the circle. Given the radius of the circular mirror as 10 cm, we can substitute this value into the formula to find the area.
Area = π × (10 cm)²
A = 3.1416 × 100 cm²
A = 314.16 cm²
Therefore, the area of the circular mirror is 314.16 cm².
Amy leaves a rest stop at 2 PM traveling west, at 45 miles per hour. Sarah leaves 2 hours later, also traveling west, but at 55 miles per hour. At what time will Sarah catch up with Amy?
Answers
55(t-2) =45t
55t-110 = 45t
-110 = -10t
t = 11 hours
2 pm plus 11 hours = 1 am
Answer: mathematics, central tendency is the tendency of data values to cluster around some central value. What does a measure of variability tell you about the central tendency of a set of data? ... If the range and IQR are small, the values are clustering around some central value.
Step-by-step explanation:
What is767,074 rounded to the nearest hundred thousand
Answers
Suppose that you have he option to buy an item with either cash or credit. Under which condition would you use credit?
Answers
Answer:
If you want to build a good credit history
Step-by-step explanation:
Buying something in order to build a good credit history does not benefit in the short run such as any financial or non-financial benefit.
However, when need arises to make request for a large sum of loan in the long run (such as buying house, purchasing vehicle or capital for investing in business) from the financial institution or any other credit providers, then the good credit history would be winning key factor for obtaining the loan.
I've never even seen a box and whiskers plot before!! Should be pretty straight forward though. Thanks!
Answers
25% of 24 students= 6 students
Final answer: 6 students
The left whisker ending, which is at 35, signifies the minimum.
The right whisker ending, which is at 99, signifies the maximum.
The middle line, at 68, is the median.
And the edge of the box on the left, at 50, is the First Quartile. (If you don't know what that is, basically the marker in between the first quarter and the second quarter)
And the edge of the box on the right is the Third Quartile, (Same thing except in between the third quarter and fourth)
So since the question is asking how many students scored better than an 85, and we know that 85 is the third quartile here, we know that 1/4 of the students scored better than an 85.
(So basically each section is 1/4 of the data set)
And 1/4 of 24 is 6.
So 6 students scored better than an 85.
Need help finishing problem 27.
Answers
Total = 1,000 * (1 +[.0925/12])^12*42
Total = 1,000 * (1.00770833333333)^504
Total = 1,000 * 47.9473276233
Total = 47,947.33
What is 7,130 divided by 86?
Answers
Write the polynomial in standard form. identify the degree and leading coefficient of the polynomial. then classify the polynomial by the number of terms
Answers
The Standard Form: -w¹² + 4w¹¹,
Degree: 12 degree
Leading Coefficient: -1
What is polynomial?Polynomial is formed composed of the phrases Nominal, which means "terms," and Poly, which means "many." An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Given equation
4w¹¹ - w¹²
Standard form of polynomial,
List the exponents in decreasing order of importance.
-w¹² + 4w¹¹
Degree of polynomial,
The degree, or the exponent in the first term, if it is in standard form, is the biggest exponent.
degree is 12.
Leading coefficient,
the first term's standard form coefficient Before the w in the first phrase, there is and understood 1.
for equation coefficient is -1,
Hence degree = 12, and leading coefficient is -1.
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The complete Question is
Write the polynomial in standard form. Identify the degree and leading coefficient of the polynomial.
Then classify the polynomial by the number of terms.
4w11 - w12
standard form
degree
leading coefficient.
-3x+2y=-10, -2x+y=-6 solve by substitution
Answers
y = -6+2x
So, you can substitute y in the other equation.
-3x+2(-6+2x)=-10
-3x-12+4x=-10
x-12=-10
x=2
You can get y value by substituting too.
y=-6+2(2)=-2
Solve the literal equation 2a-b=8b-4a for a
Answers
Have a great day!
The cruise control function on Georgina's car should keep the speed of the car within 3 miles per hour of the set speed. The set speed is 55 miles per hour. Write a compound inequality to show the leaves that are within each range. Then graph the solutions.
Answers
Answer:
Given,
Set speed of car = 55,
∵ The speed of the car within 3 miles per hour of the set speed.
So, the maximum speed of car = 55 + 3,
And, the minimum speed of car = 55 - 3
Let x shows the current speed of car,
x ≤ 55 + 3 or x ≥ 55 - 3
x - 55 ≤ 3 or x - 55 ≥ - 3
x - 55 ≤ 3 or -(x-55) ≤ 3
⇒ | x-55 | ≤ 3
Which is the required compound inequality,
Now, 55 - 3 ≤ x ≤ 55 + 3
52 ≤ x ≤ 58
⇒ [52, 58]
Which is the solution of the above compound inequality.
Also, the graph is shown below.
if a and b are the measures of two first quadrant angles and sin a = 4/9 and sin b = 2/5 find sin (a+b)
Answers
The sine of the sum of two angles a and b, with sin a = 4/9 and sin b = 2/5, is calculated using the sine addition formula and is approximately 32.24/45.
To find sin(a+b) when given sin a = 4/9 and sin b = 2/5, we use the sine addition formula:
sin(a+b) = sin(a)cos(b) + cos(a)sin(b)
Since we have the sine values, but not the cosine values, we need to find cos(a) and cos(b). Knowing that [tex]sin^2(\theta) + cos^2(\theta) = 1[/tex]for any angle theta, we can find the cosines:
For cos(a): [tex]cos^2(a) = 1 - sin^2(a) = 1 - (4/9)^2 = 1 - 16/81 = 65/81[/tex]. So, [tex]cos(a) = \sqrt{(65/81)} = 8/9[/tex] (since a is in the first quadrant where cosine is positive).For cos(b): [tex]cos^2(b) = 1 - sin^2(b) = 1 - (2/5)^2 = 1 - 4/25 = 21/25[/tex]. So, cos(b) = [tex]\sqrt{(21/25)}= 4.6/5[/tex] (since b is in the first quadrant where cosine is positive).Now, we plug these values into the formula:
sin(a+b) = (4/9)(4.6/5) + (8/9)(2/5) = 16.24/45 + 16/45 = 32.24/45
Thus, the sine of the sum of the two angles a and b is approximately 32.24/45.
Determine the 3-day sma for the ten consecutive day closing prices of sprint nextel corp listed below. $7.78, $8.08, $7.99, $8.02, $7.89, $8.72, $9.19, $9.16, $8.98, $9.38
Answers
The 3-day sma for the ten consecutive day closing prices is given by of sprint nextel corp:
(1st day price + 2nd day price + 3rd day price) / 3 = ($7.78 + $8.08 + $7.99) / 3 = $23.85 / 3 = $7.95
(2nd day price + 3rd day price + 4th day price) / 3 = ($8.08 + $7.99 + $8.02) / 3 = $24.09 / 3 = $8.03
(3rd day price + 4th day price + 5th day price) / 3 = ($7.99 + $8.02 + $7.89) / 3 = $23.90 / 3 = $7.97
(4th day price + 5th day price + 6th day price) / 3 = ($8.02 + $7.89 + $8.72) / 3 = $24.63 / 3 = $8.21
(5th day price + 6th day price + 7th day price) / 3 = ($7.89 + $8.72 + $9.19) / 3 = $25.80 / 3 = $8.60
(6th day price + 7th day price + 8th day price) / 3 = ($8.72 + $9.19 + $9.16) / 3 = $25.80 / 3 = $27.07 / 3 = $9.02
(7th day price + 8th day price + 9th day price) / 3 = ($9.19 + $9.16 + $8.98) / 3 = $27.33 / 3 = $27.33 / 3 = $9.11
(8th day price + 9th day price + 10th day price) / 3 = ($9.16 + $8.98 + $9.38) / 3 = $27.33 / 3 = $27.52 / 3 = $9.17
Therefore, the 3-day sma for the ten consecutive day closing prices of sprint nextel corp are $7.95, $8.03, $7.97, $8.21, $8.60, $9.02, $9.11, $9.17
Answer:
Step-by-step explanation:
The 3-day moving average is the average 3 number moiving one place each time.
The 3-day sma for the ten consecutive day closing prices is given by of sprint nextel corp:
(1st day price + 2nd day price + 3rd day price) / 3 = ($7.78 + $8.08 + $7.99) / 3 = $23.85 / 3 = $7.95
(2nd day price + 3rd day price + 4th day price) / 3 = ($8.08 + $7.99 + $8.02) / 3 = $24.09 / 3 = $8.03
(3rd day price + 4th day price + 5th day price) / 3 = ($7.99 + $8.02 + $7.89) / 3 = $23.90 / 3 = $7.97
(4th day price + 5th day price + 6th day price) / 3 = ($8.02 + $7.89 + $8.72) / 3 = $24.63 / 3 = $8.21
(5th day price + 6th day price + 7th day price) / 3 = ($7.89 + $8.72 + $9.19) / 3 = $25.80 / 3 = $8.60
(6th day price + 7th day price + 8th day price) / 3 = ($8.72 + $9.19 + $9.16) / 3 = $25.80 / 3 = $27.07 / 3 = $9.02
(7th day price + 8th day price + 9th day price) / 3 = ($9.19 + $9.16 + $8.98) / 3 = $27.33 / 3 = $27.33 / 3 = $9.11
(8th day price + 9th day price + 10th day price) / 3 = ($9.16 + $8.98 + $9.38) / 3 = $27.33 / 3 = $27.52 / 3 = $9.17
Therefore, the 3-day sma for the ten consecutive day closing prices of sprint nextel corp are $7.95, $8.03, $7.97, $8.21, $8.60, $9.02, $9.11, $9.17
The penny size d is given by the literal equation d = 4n - 2, solve for n
Answers
d = 4n -2
d + 2 = 4n
(d+2)/4 = n
Hope this helped!