Answers
Make ∠A + B + C = 180.
x + (4x) + (5x - 13) = 180
Add all like terms.
10x - 13 = 180
Add 13 to both sides.
10x = 193
Divide both sides by 10.
x = 19.3
Now plug in x into m∠C, (5x - 13).
5(19.3) - 13 = 83.5
The m∠C is 83.5°.
Related Questions
Why is a square a rectangle and a rhombus??
Answers
A square is a rhombus because it has 4 equal sides.
The center circle of a soccer field prohibits a defender from being near the ball at the start or restart of a soccer game. On a professional soccer field this circle is 20 yards in diameter. Find the area of this circle. Show work or explain how you found your answer.
Answers
A = (π/4)d²
You have d=20 yd, so the area of the circle is
A = (π/4)×(20 yd)² . . . . substitute the given information into the formula
A = 100π yd² . . . . . . . . do the arithmetic
A ≈ 314.16 yd²
The area of the center circle on a professional soccer field, which has a diameter of 20 yards, is calculated using the formula for the area of a circle. The calculated area is approximately 314.16 square yards.
Explanation:To find the area of the center circle on a soccer field, we use the formula for the area of a circle: A = πr^2, where A is the area and r is the radius of the circle. Given that the diameter of the circle is 20 yards, the radius (which is half of the diameter) would be 10 yards. Therefore, substituting 10 for r in the formula gives A = π(10)^2.
Performing the calculations, we find that A = π(100), which equals 314.16 square yards, using 3.1416 as the approximation for σ. Hence, the area of the center circle on a professional soccer field is approximately 314.16 square yards.
Find the greatest common factor of 8a 3 b 2 and 12ab 4.
Answers
If it is like this..
The GCF is 4ab²
Answer:
4ab²
Step-by-step explanation:
The two expressions are given as 8a³b² and 12ab⁴
Now factors of 8a³b² = 2 × 2 × 2 × a × a × a × b × b
and factors of 12ab⁴ = 2 × 2 × 3 × a × b × b × b × b
Now greatest common factor will be 2 × 2 × a × b × b
= 4ab²
The base of this regular right pyramid is a square. What is its surface area?
base edge = 8in
Height = 12in
Answers
B=8^2=64 inches2
T.S.A.=1/2(32)(12)+ 64
=192+ 64
= 256 inches2
Answer:
C
Step-by-step explanation:
The height h of an arrow in feet is modeled by h(t) = -16t^2 + 63t +4, where t is the time in seconds since the arrow was shot. what is the height of the arrow after 2 seconds?
Answers
If you substitute in the formula t = 2, you will get 66.
Hope this helps you!
solve using quadratic equations
Answers
4x² - 4x - 5x + 5 = 0
4x(x - 1) - 5(x - 1) = 0
(4x - 5)(x - 1) = 0
Set each binomial equal to zero.
4x - 5 = 0
4x = 0 + 5
4x = 5
x = 5/4
x - 1 = 0
x = 0 + 1
x = 1
Your solutions are x = 1, 5/4
I WILL MARK THE BRAINLIEST! PLZ HELP!
The track-and-field coach wants to know whether the students in the entire school prefer track races or field events. The coach draws a random sample from the following groups:
All students in each grade
All teachers in the school
All boys in each grade in the school
All students on the track-and-field team
Which group best represents the population she should take a random sample from to get the best results for her survey? (5 points)
{A} All students in each grade
{B} All teachers in the school
{C} All boys in each grade in the school
{D} All students on the track-and-field team
Answers
The track-and-field coach should select the group which contains all students in each grade to take a random sample to get the best results for her survey.
We have a situation in which track-and-field coach wants to know whether the students in the entire school prefer track races or field events. In order to do so she draws a random sample from the following groups:
• All teachers in the school
• All boys in each grade
• All students in the track-and-field team
• All students in each grade
We have to find the best group from which she should take a random sample of the above mentioned to get the best results for her survey.
What is the condition for Set A to be a Superset of Set B?Set A is superset of Set B if Set A contains all the elements of Set B.
In our question, we have four groups in the form of four sets as -
• Set of all teachers in school (say Set T)
• Set of all boys in each grade (say Set B)
• Set of All students in track-and-field team (Say Set C)
• Set of all students in each grade (Say Set S)
Since the art teacher wants to know the opinion of students, therefore Set T is not correct. Set B contains all boys in each grade, but it would exclude the girls in each grade, therefore it is also not correct. Set C consists of all students in track-and-field team, but it would exclude students who are not in track and field team, therefore incorrect. Set S consist of all Students in each grade, this means that Set S is the superset of Set B and Set C and contains all the students of the school.
Hence, the group that contains all students in each grade should be selected to take a random sample to get the best results for her survey.
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Over the period of one month 159 dogs visited the dog park. Suppose the same number of dogs visited each month for 1 year. How is this total different from the year before 95 dogs visited the dog park every 3 months for the year? Show your work and explain how you got your answer. WILL MARK BRAINLEST!!!!!!
Answers
Final answer:
The total number of dogs visiting the park in the current year, assuming 159 dogs visit each month, is 1,908 dogs/year. The previous year, with 95 dogs visiting every 3 months, saw 380 dogs/year. Hence, there are 1,528 more dogs visiting the park in the current year.
Explanation:
Calculating the Total Annual Number of Dogs Visiting the Dog Park
To calculate the total number of dogs visiting the dog park over the course of a year for the current period, we simply multiply the number of dogs that visit each month by the total number of months in a year. For the previous year, we will add up the number of dogs visiting every three months and then determine the difference between the two annual totals.
Current Period Calculation:
Number of dogs visiting each month: 159 dogsNumber of months in a year: 12 monthsTotal dogs visiting in the current year = 159 dogs/month * 12 months/year = 1,908 dogs/yearPrevious Year Calculation:
Number of dogs visiting every 3 months: 95 dogsNumber of 3-month periods in a year: 4Total dogs visiting in the previous year = 95 dogs/3 months * 4 (3-month periods) = 380 dogs/yearNow, we find the difference between the two annual totals:
Difference = Current year total - Previous year totalDifference = 1,908 dogs/year - 380 dogs/yearDifference = 1,528 dogs/yearThe total number of dogs visiting the park in the current year is 1,528 dogs more than the previous year.
Can you find the measure of angle PVQ for 30 points?
Answers
12x + 3x = 90
15x = 90
x = 6
Plug in x into ∠PVQ, which is 12x.
12(6) = 72
m∠PVQ = 72°
⇒ 12x + 3x = 90
12x + 3x = 90
Combine like terms:
15x = 90
Divide both sides by 15:
x = 6
Find ∠PVQ :
∠PVQ = 12x = 12 x 6 = 72°
Answer: ∠PVQ = 72°
the product of two consecutive even integers that are negative is 224. Write an equation and find the two integers.
Answers
the first integer be x and the second one will be x+2
What is the probability that her keys have landed within the forest?
Answers
Answer:
0.8
Step-by-step explanation:
egde
I need help trying to find the vertex y=2x^2 + 12x +26
Answers
So you would multiply 12 by -1 and get -12, then multiply 2 by 2 (a) and you should get 4.
In order to get the A.O.S, divide -12 by 4 = -3
Finally, plug in x (or the A.O.S)
Your equations should now look like this;
y = 2 (-3) ^2 + 12 (-3) +26
Solve each part separately and then add it up:
-3^2 = 9 * 2 = 18
12 * -3 = -36
and just 26
18 - 36 + 36
Vertex (or y) = 18
(-3,8)
if d=2, what is the value of 8/(4-d)
Answers
The value of the expression 8/(4-d) when d = 2 is 4.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
We have the expression,
8/(4-d)
And here, d = 2.
Substituting the value of d to the expression,
8/(4-d),
= 8/(4-2)
= 8/(2) {using simple division}
= 4
Therefore, 4 is the value of the expression.
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mrs.beluga is driving on a snow covered road with a drag factor of 0.2. she brakes suddenly for a deer. The tires leave a yaw mark with a 52 foot chord and a middle ornate of 6 feet. What is the minimum speed she could have been going?
Answers
where
[tex]c[/tex] is the length of the chord
[tex]m[/tex] is the middle ordinate
We know from our problem that the tires leave a yaw mark with a 52 foot chord and a middle ornate of 6 feet, so [tex]c=52[/tex] and [tex]m=6[/tex]. Lets replace those values in our formula:
[tex]r= \frac{52^2}{8(6)} + \frac{6}{2} [/tex]
[tex]r= \frac{2704}{48} +3[/tex]
[tex]r= \frac{169}{3} +3[/tex]
[tex]r= \frac{178}{3} [/tex]
Next, to find the minimum speed, we are going to use the formula: [tex]s= \sqrt{15fr} [/tex]
where
[tex]f[/tex] is drag factor
[tex]r[/tex] is the radius
We know form our problem that the drag factor is 0.2, so [tex]f=0.2[/tex]. We also know from our previous calculation that the radius is [tex] \frac{178}{3} [/tex], so [tex]r= \frac{178}{3}[/tex]. Lets replace those values in our formula:
[tex]s= \sqrt{(15)(0.2)( \frac{178}{3}) } [/tex]
[tex]s= \sqrt{178} [/tex]
[tex]s=13.34[/tex] mph
We can conclude that Mrs. Beluga's minimum speed before she applied the brakes was 13.34 miles per hour.
The minimum speed Mrs. Beluga could have been traveling when she braked suddenly on the snow-covered road is approximately 13.68 mph.
To find this, we can use the formula for determining speed from yaw marks: v = √(15 × f × R), where v is the speed in miles per hour, f is the drag factor (0.2 in this case), and R is the radius of the yaw mark.
First, we need to determine the radius of the yaw mark using the given chord length (52 feet) and middle ordinate (6 feet). The formula for R using these values is: R = (C² / 8M) + (M / 2), where C is the chord length and M is the middle ordinate.
Plugging in the values, we get:R = (52² / 8 × 6) + (6 / 2)Calculating inside the parentheses:
R = (2704 / 48) + 3This simplifies to:
R ≈ 59.42 + 3Thus, R ≈ 62.42 feet.Now, plug R and f into the speed formula:
v = √(15 × 0.2 × 62.42)Calculating inside the square root:
v = √(187.26)This yields:
v ≈ 13.68 mph.
Therefore, the minimum speed Mrs. Beluga could have been traveling was approximately 13.68 mph.
What is the angle of rotation of this regular decagon? What is the measure of an interior angle?
Answers
360 / (number of sides)
Therefore,
360 = 10 = 36.
The interior angles are determined by the following equation:
180 - (angle of rotation)
Therefore,
180 - 36 = 144
The answer is A.
What is the volume of a cube with an edge length of 3.2 meters?
Enter your answer as a decimal
___ cm^3
Answers
S = 3.2 meters
Volume = 3.2^3
Volume = 32.768 cubic meters (cm^3)
You may need to round the answer.. The problem doesn't say how many decimal places are needed.
To find the volume of a cube you use the equation
[tex]V = a^{3} [/tex]
a is side length
Put in the values you know
[tex]V = 3.2^{3} [/tex]
Cube the number
V = 32.768
The answer is 32.768 cubic centimeters
Hope this helps!
A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard deviation of 34. What is the 90% confidence interval for the population mean? Use the table below to help you answer the question.
Confidence Level
90%
95%
99%
z*-score
1.645
1.96
2.58
Remember, the margin of error, ME, can be determined using the formula mc021-1.jpg.
128.75 to 147.25
130.98 to 145.02
132.10 to 143.90
137.38 to 138.62
Answers
Using the z-distribution, it is found that the 90% confidence interval for the population mean is: 132.10 to 143.90.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
The other parameters are given as follows:
[tex]\mu = 138, \sigma = 34, n = 90[/tex]
Hence, the bounds of the interval are given by:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 138 - 1.645\frac{34}{\sqrt{90}} = 132.1[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 138 + 1.645\frac{34}{\sqrt{90}} = 143.9[/tex]
The 90% confidence interval for the population mean is: 132.10 to 143.90.
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HELP QUICKLY
15 men and 20 women what is the experimental probability that the next person to enter the store will be a man?
Answers
15/35
which we can simplify to
3/7
The probability that the next person to enter the store will be a man is 3/7
Answer: 3/7
Women: 20
Men: 15
Total: 35
15/35 is simplified to 3/7
A ladder is leaning against a building and makes 42° angle with the ground. The top of the ladder reaches 30 feet up on the building. What is the length of the ladder?
Answers
sin 42 deg = opp / hyp, or hyp*sin 42 deg = 30 ft. Then hyp = (30 ft)(sin 42), which in turn equals hyp = (30 ft) / (0.669) = 44.8 feet (answer)
The length of the ladder will be 44.8 feet.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
A ladder is leaning against a building and makes a 42° angle with the ground.
The top of the ladder reaches 30 feet up on the building.
Let the length of the ladder be L.
Then the length of the ladder is given by the sine of angle 42°.
sin 42° = 30 / L
L = 30 / sin 42°
L = 30 / 0.699
L = 44.8 feet
The length of the ladder will be 44.8 feet.
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Rhombus WXYZ is graphed on a coordinate plane. What is the area of the rhombus? 24 square units 28 square units 32 square units 48 square units
Rhombus WXYZ is graphed on a coordinate plane.
What is the area of the rhombus?
24 square units
28 square units
32 square units
48 square units
Answers
Answer:
24 square units
Step-by-step explanation:
Find two square roots of 36.
Answers
what is the missing constant term in the perfect square that starts with x^2 +6x
Answers
The answer is 9
x^2 + 6x + 9 is the same thing as (x+3)^2
a recipe for 2 1/2 dozen whole-wheat muffins require 600 g of flour. How many muffins can be made with 900 g of flour?
Answers
With 900 g of flour, you can make 45 muffins.
Explanation:To find out how many muffins can be made with 900 g of flour, we can set up a proportion:
2.5 × 12 = 600
x × 900 = 1
Cross-multiplying gives us:
2.5 × 12 × 900 = 600 × x
30 × 900 = 600 × x
27000 = 600x
x = 27000 / 600
x = 45
Therefore, with 900 g of flour, you can make 45 muffins.
Over the last 4 years, Michael has earned $240 interest on an initial investment of $2,000. What simple annual interest rate is the bank paying on this account?
Answers
Answer:
3%
Step-by-step explanation:
i need your help please!!!
Answers
Area of Semicircle = ([tex] \pi 6^{2} [/tex]/2)
Area of Semicircle = (3.14 x 36/2)
Area of Semicircle = (3.14 x 18)
Area of Semicircle = 56.52[tex] in.^{2} [/tex]
Hope this helps!
[pi]r^2
So substituting...
The diameter is 12 in. And radius is half of the diameter.
12/2=6. The radius is 6 in.
To finish this, we do the r^2, which is 6^2, which is 36.
Finally, we multiply pi by 36, in this question we found pi to 3.14.
The area of the circle is 113.04 in. BUT, Half of the circle, that is being shaded, would subtract half of the circle away from the total area.
So we do 113.04/2=
56.52.
The answer is that the shaded/not shaded side of the circle is equal to 56.52 in.
Which pair of numbers is an example of opposites? 1/2 and 2 -1/2 and 2 -2 and 1/2 -2 and 2
Answers
ANSWER: -2 and 2
Hops this helps! :)
Answer is : -2 and 2
Step-by-step explanation:
solve the equation. choose the answer in simplest form. 4x= 8/7 (A) 1/28 (B) 1/7 (C) 2/7 (D) 7/2
Answers
x=(8/7)÷4
x=2/7
/4 /4
x = (8/7)/4 (Keep, change, flip)
x = 8/7 * 1/4
x = 8/28
x = 2/7
Jonathan bought 10lb of flour at 7.50 he had a store cupon for 0.79 what was the final price for flour
Answers
150% of A is equal to $120
Answers
So, to find 150% of A, we use this equation:
1.5a = 120
We divide both sides by 1.5 to isolate a:
a = 80
150% of 80 is equal to 120
150/100A=120
Simplify
3/2A=120
A=80
Is 7/8 the right answer