What is the measure of ∠D ?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
m∠D=
°
Answers
Related Questions
The percents of different drinks sold at a snack shop are shown in the circle graph. What percent of the drinks sold were colas?
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Ice tea: 30%
Lemonade: 32%
Colas: ?
The percent of the drinks sold that were colas is 38%.
One whole circle is equivalent to 100%. Since the ice tea takes up 30% of the circle and lemonade takes up 32% of the circle, the remaining portion for colas is no longer 100%. We simply deduct these percentages from 100% to get the percentage of colas which is 38%.
Is the line through points P(0, 5) and Q(–1, 8) parallel to the line through points R(3, 3) and S(5, –1)? Explain.
a. No, the lines have unequal slopes.
b. Yes, the lines are both vertical.
c. Yes, the lines have equal slopes.
d. No, one line has slope, while the other has no slope.
Answers
m = (y2 - y1)/(x2 - x1)
y2 = 8
x2 = - 1
m = (8 - 5)/(-1 - 0)
m = 3/-1 = -3
Slope RS
m = (y2 - y1)/(x2 - x1)
y2 = 3
x2 = 3
m = (3 - - 1)/(3 - 5)
m = 4/-2 = -2
Conclusion
The slopes are not either 0 or undefined. They are not vertical or horizontal. They are not related by m1*m2 = -1 so they do not relate by right angles. They are not the same.
Answer: A <<<
cade road 1 3/5th miles on Saturday and 1 3/4th on Sunday. how far did he ride on the two days?
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how many liters of a 60% acid solution must be mixed with a 75% acid solution to obtain 20L of a 72% solution
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y = amount of the 75% solution
now, how much is 60% of x? well, (60/100) * x, or 0.6x.
and how much is 75% of y? well, (75/100) * y, or 0.75y.
well, the resulting mixture is 72% of acid and then water or other liquids, but we know is that much off 20 liters, how much is that then? well 72% of 20 is (72/100) * 20, or 14.4.
regardless of what "x" and "y" are, we know that the resulting substance has to be 20 liters, thus x + y = 20.
and we also know that the amount of acid in each amount, will add up to the acid in the resulting amount.
since we know that there is 0.6x liters of only acid and 0.75y liters of only acid in each, thus 0.6x + 0.75y = 14.4.
[tex]\bf \begin{array}{lccc} &\stackrel{liters}{amount}&\stackrel{\%~of~acid}{amount}&\stackrel{acid~liters}{quantity}\\ &------&------&------\\ \textit{60\% solution}&x&0.60&0.6x\\ \textit{75\% solution}&y&0.75&0.75y\\ ------&------&------&------\\ mixture&20&0.72&14.4 \end{array} \\\\\\ \begin{cases} x+y=20\implies \boxed{y}=20-x\\ 0.6x+0.75y=14.4\\ -------------\\ 0.6x+0.75\left( \boxed{20-x} \right)=14.4 \end{cases} \\\\\\ 0.6x-0.75x+15=14.4\implies -0.15x=-0.6 \\\\\\ x=\cfrac{-0.6}{-0.15}\implies x=4[/tex]
how many liters of "y"? well, y = 20 - x.
PLEASE HELP!!!! How can you tell if a triangle can be drawn more than one way?
please explain in detail and be specific.
Answers
it takes 2 goats and 3 cows 6 days to eat 2 acres of grass. it takes 6 goats and 5 cows 10 days to eat 8 acres of grass. how many days does it take 8 goats and 8 cows to eat 17 acres of grass/10929719/ff5df148?utm_source=registration
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The 15 days it takes for 8 goats and 8 cows to eat 17 acres of grass if it takes 2 goats and 3 cows 6 days to eat 2 acres of grass. it takes 6 goats and 5 cows 10 days to eat 8 acres of grass.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
it takes 2 goats and 3 cows 6 days to eat 2 acres of grass. it takes 6 goats and 5 cows 10 days to eat 8 acres of grass.
Number of days to eat 2 acres for 2 goats and 3 cows = 2/6
Number of days to eat 8 acres for 6 goats and 5 cows = 8/10
Now adding the fraction number of 2/6 and 8/10
[tex]\rm = \frac{2}{6}+ \frac{8}{10}[/tex]
= 68/60
= 15/17
Now the number of days is 15 days for the 17 acres.
Thus, the 15 days it takes for 8 goats and 8 cows to eat 17 acres of grass if it takes 2 goats and 3 cows 6 days to eat 2 acres of grass. it takes 6 goats and 5 cows 10 days to eat 8 acres of grass.
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For which of the inequalities below is v = 4 a solution?
A v + 5 < 8
B v + 5 > 9
C v + 5 ≥ 9
D v + 5 ≤ 8
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9≥9 which is true
Leticia charges $8 per hour to babysit. She babysat Friday night for 4 hours, and then she babysat again on Saturday. She earned a total of $72. How many hours did Leticia babysit on Saturday? Choose two answers: one for the equation that models this situation and one for the correct answer.
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First, we have to look at the equation that models this situation. We learn that the price per hour of babysitting is $8. On Friday, Leticia babysat for 4 hours, and on Saturday, she babysat an unknown amount of time. In total, she earned $72. Therefore:
8 ( 4 + x ) = 72
( 4 + x ) = 72 / 8
4 + x = 9
x = 9 - 4
x = 5
Leticia babysat 5 hours on Saturday.
The table below shows the average temperature, in degrees Celsius, in Jacob's city over a period of five months:
Month 1 2 3 4 5
Temperature 5 7.2 9.4 11.6 13.8
Did the temperature in Jacob's city increase linearly or exponentially?
Linearly, because the table shows a constant percentage increase in temperature each month
Exponentially, because the table shows a constant percentage increase in temperature each month
Linearly, because the table shows that temperature increased by the same amount each month
Exponentially, because the table shows that temperature increased by the same amount each month
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Answer:
C. Linearly, because the table shows that temperature increased by the same amount each month
Step-by-step explanation:
it takes Joanna 15 minutes to complete 4 puzzles. At that rate, how many puzzles can she complete in 1 hour 45 minutes
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4 puzzles = 15 min
1 puzzle = 15/4 = 3.75 min
x puzzles = 105 min (which is the same as 1 hour 45 minutes)
divide 105 / 3.75 = 28
soooo....
28 puzzles = 105 min
Joanna can complete 28 puzzles in 1 hour 45 minutes.
Hope this helped! :)
1 hour 45 min = 95 min. 95/15 = 7. 7 x 4 = 28
Simplify the rational expression. State any restrictions on the variable n^4-11n^2+30/ n^4-7n^2+10
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The given rational expression simplifies to (n^2 - 6)/(n^2 - 2). However, n cannot be equal to ±√2 and ±√5. These are the values that would make the denominator of the original or simplified expression equal to 0.
Explanation:To simplify the given rational expression we must first factor both the numerator and the denominator. The expression is n^4 - 11n^2 + 30/ n^4 - 7n^2 + 10. We recognize this is a quadratic in terms of n^2. Hence, the numerator factors into (n^2 - 6)(n^2 - 5), and the denominator factors into (n^2 - 5)(n^2 - 2).
The simplified version of the expression is (n^2 - 6)/(n^2 - 2) but we need to take into account the restrictions for n which are that n cannot be equal to ±√2 and ±√5. These are the values that would make the denominator of the original or simplified expression equal to 0, thus undefined.
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The rational expression [tex](n^4 - 11n^2 + 30)/(n^4 - 7n^2 + 10)[/tex] simplifies to [tex](n^2 - 6)/(n^2 - 2)[/tex], with restrictions on n being ±√5 and ±√2 since these values would cause the original denominator to be zero.
To simplify the rational expression [tex]n^4 - 11n^2 + 30[/tex] divided by [tex]n^4 - 7n^2 + 10[/tex], we start by factoring both the numerator and the denominator.
Factor the numerator:
→ [tex]n^4 - 11n^2 + 30 = (n^2 - 5)(n^2 - 6)[/tex]
Factor the denominator:
→ [tex]n^4 - 7n^2 + 10 = (n^2 - 5)(n^2 - 2)[/tex]
After factoring, we can eliminate common terms.
The term ([tex]n^2 - 5[/tex]) is present in both the numerator and the denominator and can be cancelled out.
The simplified expression is [tex](n^2 - 6)/(n^2 - 2)[/tex].
We also need to state restrictions on the variable n. These restrictions come from the values that make any denominator zero, which are not allowed.
For the initial fraction, the restrictions are the values of n that make [tex]n^2 - 5[/tex] or [tex]n^2 - 2[/tex] equal to 0. Thus, n cannot be ±√5 or ±√2.
Use completing the square to solve for x in the equation (x - 12)(x + 4) = 9.
A. x = -1 or 15
B. x = 1 or 7
C. x (plus sign over minus sign) square root of 41.
D. x (plus sign over minus sign) square root of 73.
Please help! This is timed!
Answers
(x - 12) (x + 4) = 9
Expand out terms of the left-hand side:
x^2 - 8 x - 48 = 9
Add 48 to both sides:
x^2 - 8 x = 57
Add 16 to both sides:
x^2 - 8 x + 16 = 73
Write the left hand side as a square:
(x - 4)^2 = 73
Take the square root of both sides:
x - 4 = sqrt(73) or x - 4 = -sqrt(73)
Add 4 to both sides:
x = 4 + sqrt(73) or x - 4 = -sqrt(73)
Add 4 to both sides:
Answer: x = 4 + sqrt(73) or x = 4 - sqrt(73) Thus the Answer is D:
Answer:
It is D.x=4+√73
Step-by-step explanation:
Got it right on edg.2022 :))
Evaluate the expression. 12 + 3 • 8
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To solve the expression 12 + 3 • 8, first perform the multiplication to get 24, then add this to 12 to get a final result of 36.
Explanation:To evaluate the expression 12 + 3 • 8, you must follow the order of operations, often remembered by the acronym PEMDAS which stands for Parentheses, Exponents, Multiplication and Division, Addition and Subtraction, from left to right. As per PEMDAS, multiplication should be carried out before addition.
First, perform the multiplication: 3 times 8 is 24. Then, add the result to 12.
So, 12 + 24 equals 36. Therefore, the value of the expression 12 + 3 • 8 is 36.
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Which phrase describes the variable expression m + 5?
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Have a nice day :)
11. The polygons are similar, but not necessarily drawn to scale. Find the value of a and b.
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(2a -5)/25 = 18/30
2a -5 = 25*18/30 = 15
a = (15 +5)/2 = 10
(3b +1)/15 = 30/18
3b +1 = 15*30/18 = 25
b = (25 -1)/3 = 8
a = 10
b = 8
A four-sided polygon has sides that measure (2x + 1), (4x – 10), (x + 1)and (12x + 25). What is the perimeter of the polygon, in terms of x?
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(2x+1)+(4x-10)+(x+1)+(12x+25). The bold parts are terms that can be combined together and all the other numbers (constants) can be combined.
2x+4x+1x+12x=19x
1+ (-10)+1+25 = 17
19x+17 would be the simplified expression that represents the perimeter.
Final answer:
The perimeter of the polygon, given the sides (2x + 1), (4x – 10), (x + 1), and (12x + 25), is calculated by summing these expressions to get 19x + 17.
Explanation:
To find the perimeter of a four-sided polygon, we add together the lengths of all the sides. Given the sides (2x + 1), (4x – 10), (x + 1), and (12x + 25), the perimeter P in terms of x is calculated by summing these expressions:
P = (2x + 1) + (4x – 10) + (x + 1) + (12x + 25)
Now, we combine like terms:
P = 2x + 4x + x + 12x + 1 – 10 + 1 + 25
P = (2x + 4x + x + 12x) + (1 – 10 + 1 + 25)
P = 19x + 17
Therefore, the perimeter of the polygon in terms of x is 19x + 17.
NEED answer fast, please hurry. If events A and B are independent, and the probability that event A occurs is 83%, what must be true?
The probability that event B occurs is 17%.
The probability that event B occurs is 83%.
The probability that event A occurs, given that event B occurs, is 83%.
The probability that event B occurs, given that event A occurs, is 83%.
Answers
Answer:
the answer is C.
Step-by-step explanation:
83%
The true statement about the given conditional Probability is; The probability that event A occurs, given that event B occurs, is 83%.
How to Solve Conditional Probability?
We are told that If events A and B are independent, and the probability that event A occurs is 83%.
Now, Conditional probability like p(A|B) is the probability of event A occurring, given that event B occurs. Thus, applying that to our question means we can denote that;
The probability that event A occurs, given that event B occurs, is 83%.
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Does the point (2 3 , 2) lie on the circle that is centered at the origin and contains the point (0, -4)? Why?
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Answer:
No, because it doesn't satisfy the equation of the circumference
Step-by-step explanation:
A circle is the locus of points on the plane that are equidistant from a fixed point called the center. For a circle whose center is the point
[tex]C=(a,b)[/tex]
and its radius is [tex]r[/tex], the ordinary equation of this circle is given by:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
Since the circle is centered at the origin:
[tex]C=(a,b)=(0,0)\\\\Hence\\\\(x-0)^2+(y-0)^2=r^2\\\\x^2+y^2=r^2[/tex]
Now, let's find [tex]r[/tex] using the data provided. Evaluating the point (0,-4) into the equation:
[tex](0)^2+(-4)^2=r^2\\\\16=r^2\\\\r=\pm 4[/tex]
Thus the equation for the circle given by the problem is:
[tex]x^2+y^2=16[/tex]
In order to corroborate if the the point (2 3, 2) lie on the circle, we need to evaluate it into the equation and check if it satisfy the equation:
Note: I don't know what you mean with 2 3, so I will assume 3 cases:
[tex]2\hspace{3} 3=23\\2\hspace{3} 3=2*3=6\\2\hspace{3} 3=\frac{2}{3}[/tex]
First case:
[tex](23)^2+(2)^2=16\\\\533\neq16[/tex]
It doesn't satisfy the equation, therefore doesn't lie on the circle.
Second case:
[tex](6)^2+(2)^2=16\\\\40\neq16[/tex]
It doesn't satisfy the equation, therefore doesn't lie on the circle.
Third case:
[tex](\frac{2}{3} )^2+(2)^2=16\\\\\frac{40}{9} \neq16[/tex]
It doesn't satisfy the equation, therefore doesn't lie on the circle.
Final answer:
The point (3, 2) does not lie on the circle centered at the origin with a radius of 4 units because when its coordinates are plugged into the circle's equation x² + y² = 16, the result is not equal to the radius squared.
Explanation:
To determine if the point (3, 2) lies on the circle centered at the origin that contains the point (0, -4), we need to see if it satisfies the equation of the circle.
We know the radius of the circle is the distance from the center to the point (0, -4), which is 4 units since all points on a circle are equidistant from the center.
The general equation for a circle centered at the origin (0,0) is x² + y² = r², where r is the radius.
Our circle's equation is x² + y² = 16.
We plug in the coordinates of the point (3, 2) to see if it lies on the circle: 3² + 2² = 9 + 4 = 13, which is not equal to 16. Therefore, the point (3, 2) does not lie on the given circle.
Two circles have the same radius. Complete the description for whether the combined area of the two circles is the same as the area of a circle with twice the radius. The combined area of two circles with the same radius is ___πr2. The area of a circle with twice the radius is ___πr2. The combined area of two circles is as the area of a circle with twice the radius.
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There is a two-digit number whose units digit is six less than the tens digit. Four times the tens digit plus five times the units digit equal 51. Find the digits.
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4T + 5U = 51 substitute for T
4(U + 6) + 5U = 51
4U + 24 + 5U = 51
9U + 24 = 51
9U = 27
U = 3
t = U + 6
t = 3 + 6
t = 9
Check
4*t + 5*u = ? 51
4*9 + 5*3 = ? 51
36 + 15 =? 51
51 = 51 It checks.
Answer:
The tens digit number is 9 and the ones digit number is 3.
Write an equation (any form) for the quadratic graphed below
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.. y = -(x -2)^2 + 3
_____
The vertex is (2, 3) and the graph opens downward. The vertical scale factor is 1.
To the nearest hundredth, what is the length of line segment AB ? Drag your answer into the box. The length of line segment AB is approximately units
9.54
10.44
13.00
13.15
Answers
Answer:
B. 10.44 units.
Step-by-step explanation:
We are asked to find the length of line segment AB.
To find the length of line segment AB we will use distance formula.
[tex]\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Upon substituting the coordinates of point A and B in distance formula we will get,
[tex]\text{Distance between point A and point B}=\sqrt{(1--9)^2+(-1--4)^2}[/tex]
[tex]\text{Distance between point A and point B}=\sqrt{(1+9)^2+(-1+4)^2}[/tex]
[tex]\text{Distance between point A and point B}=\sqrt{(10)^2+(3)^2}[/tex]
[tex]\text{Distance between point A and point B}=\sqrt{100+9}[/tex]
[tex]\text{Distance between point A and point B}=\sqrt{109}[/tex]
[tex]\text{Distance between point A and point B}=10.4403065089105502\approx 10.44[/tex]
Therefore, the length of line segment AB is 10.44 units and option B is the correct choice.
Answer:
I'm a nooby so 10.44.
Step-by-step explanation:
Which system of equations below has infinitely many solutions?
y = –3x + 4 and y = –3x – 4
y = –3x + 4 and 3y = –9x + 12
y = –3x + 4 and y = -1/3x + 4
y = –3x + 4 and y = –6x + 8
Answers
y = –3x + 4 and 3y = –9x + 12 y=4-3x
y = –3x + 4 and y = -1/3x + 4 x=0, y=4
y = –3x + 4 and y = –6x + 8 x=4/3, y=0
Answer:
y = –3x + 4 and y = –3x – 4 no solution exists
y = –3x + 4 and 3y = –9x + 12 y=4-3x
y = –3x + 4 and y = -1/3x + 4 x=0, y=4
y = –3x + 4 and y = –6x + 8 x=4/3, y=0
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Step-by-step explanation:
Which expression is equivalent to a(^8)^4? a a2 b a4 c a12 d a32
Answers
The rule for exponents in this case is multiplication.
We have been given the expression [tex] (a^8)^4 [/tex].
To solve this problem we will use one of the rules of the exponents called the Power Rule.
The power rule states that:
[tex] (x^m)^n=x^{m\times n}=x^{mn} [/tex]
In our case, x=a and the powers involved are m=8 and n=4.
Therefore, applying the power rule to the case given in our question we get:
[tex] (a^8)^4=a^{8\times 4}=a^{32} [/tex].
Therefore, Option D which says [tex] \boldsymbol{a^{32}} [/tex] is the correct option.
A circle has an area of 75 square centimeters. Which answer is closest to the measure of its radius?
A) 2.75 centimeters
B) 4.9 centimeters
C) 9.8 centimeters
D) 23.9 centimeters
Answers
75 = [tex] \pi r^2 [/tex]
[tex]r [/tex] ≈ 4.89
So, answer is B.
Answer:
4.9
Step-by-step explanation:
Find the equation of the sphere for which the line segment pq connecting p(4,2,1) and q(5,-1,3) is the diameter
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The sphere has for equation (x-9/2)²+(y-1/2)+(z-2)²=R²
and P is a point of the sphere so R=(-1/2)²+(3/2)²+(-1)²=R²=7/2
what is 6 ×2/3 in simplest form
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Brainliest please?
A cube with a volume of 75cm^3 is dilated by a scale factor of 5. What is the volume of the dilated cube?
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in volume
[the scale factor]=∛{[dilated volume]/[initial volume]}
then
[the scale factor]³=[dilated volume]/[initial volume]
[dilated volume]=[initial volume]*[the scale factor]³
[dilated volume]=[75]*[5]³-------> 75*125-------> 9375 cm³
the answer is 9375 cm³
wo groups of students were asked how many pets they had. The table below shows the numbers for each group: Group A 1 2 1 1 3 5 4 2 3 Group B 3 2 3 2 2 2 1 1 2 Based on the table, which of the following is true?
Answers
we know that
The interquartile range is a measure of where the “middle fifty” is in a data set
the interquartile range formula is the first quartile subtracted from the third quartile:
Group A [1 2 1 1 3 5 4 2 3]
Step 1: Put the numbers in order
[1 1 1 2 2 3 3 4 5]
Step 2: Find the median
[1 1 1 2 2 3 3 4 5]
Step 3: Place parentheses around the numbers above and below the median
[(1 1 1 2) 2 (3 3 4 5)]
Step 4: Find Q1 and Q3
[(1 1 1 2) 2 (3 3 4 5)]----> Q1=1 Q3=3
IQRA = Q3 – Q1--------> 3-1=2
Group B [3 2 3 2 2 2 1 1 2]
Step 1: Put the numbers in order
[1 1 2 2 2 2 2 3 3]
Step 2: Find the median
[1 1 2 2 2 2 2 3 3]
Step 3: Place parentheses around the numbers above and below the median
[(1 1 2 2) 2 (2 2 3 3)]
Step 4: Find Q1 and Q3
[(1 1 2 2) 2 (2 2 3 3)]----> Q1=1 Q3=2
IQRB = Q3 – Q1--------> 2-1=1
IQRA=2
IQRB=1
the answer is the option
The interquartile range for Group A students is 1 more than the interquartile range for Group B students
The question about how many pets two groups of students have cannot be answered without the correct data. Typically, such a question would involve computing descriptive statistics or organizing the data into a graph or table for easier comparison and interpretation.
Explanation:Based on the information given in the prompt, which seems to contain a mistake as it does not directly correlate to the question about the two groups of students and their number of pets, we can not effectively conclude which of the following is true regarding the data about Group A and Group B without the appropriate data or statements to compare. Therefore, we need the correct data to proceed with the analysis. Generally, in math problems like this, we would compute the mean, median, mode, or range of the data to compare the two sets, or we could use more advanced statistics if required.
In a correct scenario, you could group the data differently by organizing it into a frequency table or creating a graph to visualize the distribution. Depending on the data shape, you might group it by intervals or categories. Grouping data helps to understand and interpret the data more easily. For instance, it is often easier to see trends and patterns in a histogram or bar chart than in a raw list of numbers.
What is the formula for the surface area of a triangular pyramid
Answers
Answer:
4(base*height)/2