The required angle is measured as 117 degrees which it's a supplement, the measure is 63 degrees.
What are supplementary angles?Supplementary angles are defined as angles whose pairings sum up to 180°. Supplementary angles are classified into two categories.
Angles that are adjacent: Supplementary angles are of the type adjacent angles. Adjacent angles share a side and a vertex, such as a corner point. Their points are not in any sense overlapping. In other terms, adjacent angles are pairs of two angles near each other.
We have been given that the measure of an angle is 63 degrees.
To determine the measure if it’s a supplement
We know that supplementary angles whose pairings sum up to 180°
Let the required supplement angle would be x
As per the property of supplementary angles, we can write the equation as:
⇒ x + 63° = 180°
⇒ x = 180° - 63°
⇒ x = 117°
Therefore, the measure of its supplement angle is 117 degrees.
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Liam has 2 quarts of apple juice he wants to pour the juice into 1/5 quart servings how many servings can Liam pour
Brian is ordering books online. He has $100 to spend on the books. Each book costs $7. The shipping charge for the entire order is $8. The number of books, b, that Brian can buy is represented by the inequality 7b + 8 < 100. How many books can Brian buy without overspending?
A. 13
B. 15
C. 18
D. 20
whats the answer ????
Answer:13
Step-by-step explanation:
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Can someone help me math homework
A farmer in china discovers a mammal hide that contains 54% of its original amount of c-14. Find the age of the mammal hide to the nearest year
Final answer:
The age of the mammal hide can be determined by using carbon-14 dating. By comparing the remaining amount of carbon-14 to the initial amount and knowing the half-life of carbon-14, the age of the hide can be calculated. In this case, the hide is approximately 778 years old.
Explanation:
The age of the mammal hide can be determined using carbon-14 dating. Carbon-14 (or C-14) is an isotope that is present in all living organisms. When an organism dies, the amount of C-14 in its remains begins to decay.
Based on the information provided, the mammal hide contains 54% of its original amount of C-14. Knowing that the half-life of C-14 is 5,730 years, we can calculate the age of the hide.
To do this, we can set up the following equation: Remaining amount of C-14 = Initial amount of C-14 × (0.5)^(number of half-lives)
Since the hide contains 54% of its original amount of C-14, the remaining amount is 0.54 times the initial amount.
By substituting the known values into the equation, we can solve for the number of half-lives:
0.54 × Initial amount of C-14 = Initial amount of C-14 × (0.5)^(number of half-lives)
Dividing both sides of the equation by the initial amount of C-14 and taking the logarithm of both sides, we can find the number of half-lives:
ln(0.54) = number of half-lives × ln(0.5)
Using a logarithmic calculator, we find that the number of half-lives is approximately 0.136.
Since each half-life spans 5,730 years, we can calculate the age of the hide:
Age of hide = Number of half-lives × Half-life duration
Age of hide = 0.136 × 5,730 years
Therefore, the age of the mammal hide is approximately 778 years.
Answer: 5621
Step-by-step explanation:
i did it
The carnival owner pays the owner of an exotic animal exhibit $650 for the entire time the exhibit is displayed. The owner of the exhibit has no other expenses except for a daily insurance cost. If the owner of the animal exhibit wants to make more than $500 in profit for the 5 1/2 days, what is the greatest daily insurance rate he can afford to pay?
3y-6=-18 what does y equal
What is the arc measure of D C in degrees
Name the factors in each of the following problems.
a. 6 × 12 = 72
b. 8 × 9 = 72
c. 4 × 4 = 16
d. 3 × 7 = 21
I don't understand what "factors" mean, please help. :)
SOS!!!!!!! HELP!!!!!!!!!!!!! Drink Soda Does Not Drink Soda
Play Video Games 13 7
Does Not Play Video Games 6 4
Jordan interviewed her 30 classmates on whether or not they played video games and if they drink soda. She displayed her results in the two-way table shown. Which statement is true? A) A classmate who drinks soda is more likely to play video games. B) A classmate who plays video games is not as likely to drink soda. C) About the same percentage of students play video games as those who don't drink soda. D) It is twice as likely that a student doesn't play video games nor drink soda as one who plays video games and drinks soda.
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Brian read 8 I/4 pages of a book in 1/6 hour at this rate what is the total number of pages of the book he will read in 1 hour
3 to the power of n = 81. Pls explain
what is the solution to the linear system of equations ? x - y =4 8x + 2y =2 A. (4,0) B. (1, -3) C. (1,3) D.The system has no solution
NEED HELP ASAP , PLEASEEEEEE
What is (-98.6) divided by (3.8)
Marvin lives in Stormwind City and works as an engineer in the city of Ironforge. In the morning, he has 3 transportation options (teleport, ride a dragon, or walk) to work, and in the evening he has the same 3 choices for his trip home. If Marvin randomly chooses his method of travel in the morning and in the evening, what is the probability that he teleports at least once per day?
Answer:
The probability is [tex]P=\frac{5}{9}[/tex]
Step-by-step explanation:
Marvin has to randomly choose between 3 transport options.
Since the choice is random, then the probability of choosing any of the three options is the same.
The probability of teleportation in the first attempt is:
[tex]P_t = \frac{1}{3}[/tex]
So, the probability that you do not teleport is
[tex]q = 1-p\\\\q = 1-\frac{1}{3}\\\\q = \frac{2}{3}[/tex]
The probability that Marvin does not teleport when going to work and Marvin does not teleport when he returns from work is:
[tex]P = \frac{2}{3} * \frac{2}{3}\\\\P = \frac{4}{9}.[/tex]
Therefore the probability of teleportation at least once is:
[tex]P= 1-\frac{4}{9}\\\\P = \frac{5}{9}[/tex]
A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.
9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8
What is the variance of the data? Round to the nearest hundredths.
0.40
0.72
1.28
2.14
Answer:
1.28
Step-by-step explanation:
The variance is found by first finding the mean; the mean of this data set is 7.15.
Next we find the difference between each data point and the mean; square the differences; find the sum; and divide by the number of data point (10). Following these steps gives us the rounded answer 1.28.
Tell multiple ways to write 65% as a fraction
The graph of a function is a line that passes through the points (1,4)(1,4), (3,8)(3,8), and (6,y)(6,y). What is the value of y?
Monte performs an experiment using 2 identical graduated cylinders, each with a radius of 2 cm. The volume of the liquid in the first graduated cylinder is 188.4 cm³. The volume of the liquid in the second graduated cylinder is 314 cm³. What is the difference in the height of the liquid in the two cylinders? Use 3.14 to approximate pi. Enter your answer in the box.
What is the exact volume of the cone?
40π cm³
803π cm³
1603π cm³
160π cm³
Outline of cone with dotted line rising from middle of base to the point. Line is labeled ten centimeters. A second dotted line extends horizontally from middle of base to its edge. Line is labeled four centimeters.
Answer:
it is c
Step-by-step explanation:
The exact volume of the cone in which the outline of cone with dotted line rising from middle of base to the point is 160/3π cm³.
What is of volume of solid?Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
The volume of the cone can be given with the following formula as,
[tex]V=\dfrac{\pi r^2 h}{3}[/tex]
Here, (r) is the radius of the base of the cone and (h) is the height of the cone.
The image of the cone, whose volume has to be find out, is attached below.
The height of the cone is 10 cm long and the radius is 4 cm long. Thus put these values in the above formula as,
[tex]V=\dfrac{\pi (4)^2 (10)}{3}\\V=\dfrac{160}{3}\pi \;\;\tm cm^3[/tex]
Hence, the exact volume of the cone in which the outline of cone with dotted line rising from middle of base to the point is 160/3π cm³.
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Giving 40 Points...need help as soon as possible
im need HELP!!!
m<JEF=40°
Answer:JEF has a 50 degree complement
140 degrees is the supply of JEF
If your teacher says NONE, then the complement of DON is -34 degrees.
DON is 56 degrees when supplemented
the string, that supports the stairs, makes an angle of 50° with the floor. It reaches 3.2 m up the wall. How far is the base od the stringer from the wall?
We use trigonometry to find the distance from the base of the string to the wall. The cosine of an angle in a right triangle is defined as the adjacent side length divided by the hypotenuse length. You can plug the given values into the rearranged formula and solve it.
Explanation:The question is asking about the distance from the base of the string (the part that touches the floor) to the wall. This is a typical trigonometry problem. We know that the string forms an angle of 50° with the floor and that it stretches up to 3.2 m on the wall. Given these values, we can use the cosine function to find the distance between the base of the string and the wall.
The cosine of an angle in a right triangle is defined as the adjacent side length divided by the length of the hypotenuse. In our case, you can think of the 3.2 m wall height as the 'adjacent' and the string length as the 'hypotenuse'. So, we can rearrange this relationship to solve for the base, or 'hypotenuse', of the triangle:
Length of string (hypotenuse) = Adjacent side / cos(angle)
Plugging in the values we know:
Length of string = 3.2 m / cos(50°)
After that, you can plug the numbers into a calculator to find the value in meters of the distance from the base of the string to the wall.
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Solve for x in the diagram.
A. 25 B. 37 C. 15 D. 14
The value of the hypotenuse x is equal to 12 units.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Use the Pythagorean theorem for this. (a^2+b^2=c^2)
a=9, b=12, c=x
The value of x will be calculated as,
a² + b² = c²
9²+12²=x²
81 + 144 = x²
225 = x²
x =15
Therefore, the measure of x is 15 units.
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Eight less than the product of two and a number X
**ANSWER ASAP**
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How does Pythagorean theorem work?
A point located at (6, -4) is reflected over the x-axis. What are the coordinates of the image?
(6, 4)
(-6, -4)
(-6, 4)
(-4, 6)
-6, 4 is the answer
On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2). What is the length of Side RT of the polygon?
4 unit
6 units
7 units
11 units
When two coordinates are given and asked to find distance between those points or length of line segment made by joining those points, then you can use the distance formula for 2 dimension.
The length of RT is given by:
Option D: 11
Given that:A side of a polygon is named RTThe endpoints of RT are R(-6, 2) and T(5, 2).To find:Length of RT
Formula of distance between two points (x,y) and (p,q) is given by:[tex]\text{Distance((x,y), (p,q))} = \sqrt{(x-p)^2 + (y-q)^2}[/tex]
Thus, we have:
[tex]|RT| = \sqrt{(-6-5)^2 + (2-2)^2} = 11 \: \rm units[/tex]
Thus, the length of RT is given by:
Option D: 11
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A right rectangular pyramid is sliced parallel to the base, as shown.
What is the area of the resulting two-dimensional cross-section?
A. 15 cm²
B. 18 cm²
C. 25 cm²
D. 50 cm²