Hello!
So the 2 angles of the base are equal, so:
If 74° = the angle of the vertex of the triangle:(180 - 74)/2 = 53° one of the 2 angles
74°
/\
/ \
/ \
/ \
53° 53°
If 74° one of the two angles of the base:180 - 74*2 = 32°
32°
/\
/ \
/ \
/ \
74° 74°
So the others angles can be:
- 74° and 53°
- 74° and 32°
20 26 28 25 28 18 23 15 17 26 29 24 29
29 17 15 17 20 30 29 16 21 22 28 19
Find Q1
Find Q2
Find Q3
Find the minimum and maximum value,
Based on the information, the minimum value is 15, and the maximum value is 30.
How to calculate the valueTo find Q1: Calculate the position of Q1 using the formula: Position = (n + 1) * (Q / 100), where n is the total number of values and Q is the desired percentile (25).
Position = (22 + 1) * (25 / 100) = 5.75 (rounded to 6)
Take the average of the values at positions 6 and 7 to find Q1.
Q1 = (18 + 19) / 2 = 18.5
To find Q2 (the median): Calculate the position of Q2 using the formula: Position = (n + 1) * (Q / 100), where n is the total number of values and Q is the desired percentile (50).
Position = (22 + 1) * (50 / 100)
= 11.5 (rounded to 12)
The value at position 12 is the median.
Q2 = 21
To find Q3: Calculate the position of Q3 using the formula: Position = (n + 1) * (Q / 100), where n is the total number of values and Q is the desired percentile (75).
Position = (22 + 1) * (75 / 100) = 16.5 (rounded to 17)
Take the average of the values at positions 17 and 18 to find Q3.
Q3 = (28 + 29) / 2 = 28.5
The minimum value is 15, and the maximum value is 30.
Learn more about minimum value on
https://brainly.com/question/30236354
#SPJ1
A city in China is one of the world's coldest cities and is known for its ice and snow festivals. In February, the average nightly low temperature is −40°C and the average daily high temperature is −9°C. What is the temperature drop (in °C) from day to night?
The temperature drops by [tex]31\°C[/tex] from day to night in this city.
To calculate the temperature drop from day to night in [tex]\°C[/tex], we subtract the average nightly low temperature from the average daily high temperature.
Given:
Average nightly low temperature: [tex]-40\°C[/tex]
Average daily high temperature: [tex]-9\°C[/tex]
The temperature drop can be calculated as:
Temperature drop = Average daily high temperature - Average nightly low temperature
Substituting the given values:
Temperature drop = [tex]-9\°C - (-40\°C)[/tex]
Simplifying the equation:
Temperature drop = [tex]-9\°C + 40\°C[/tex]
Temperature drop = [tex]31\°C[/tex]
The concept of temperature drop refers to the difference in temperature between two specific periods or conditions. In this case, we are looking at the temperature drop from day to night in a city in China known for its cold climate.
Therefore, the temperature drops by [tex]31\°C[/tex] from day to night in this city.
For more questions on temperature drops:
https://brainly.com/question/24746268
#SPJ8
solve :-|2x +1| >= 3
The solution to the inequality |[tex]2x+1[/tex]| ≥ [tex]3[/tex] is [tex]x[/tex] ≥ [tex]1[/tex].
To solve the inequality |[tex]2x+1[/tex]| ≥ [tex]3[/tex] , we need to consider two cases: when the expression inside the absolute value is positive and when it is negative. Here's a step-by-step explanation:
Case 1: |[tex]2x+1[/tex]| ≥ [tex]3[/tex]
Subtract 1 from both sides of the inequality:
[tex]2x + 1 - 1[/tex] ≥ [tex]3 - 1[/tex]
2x ≥ 2
Divide both sides of the inequality by 2:
[tex]$\frac{2x}{2} ≥ \frac{2}{2}$[/tex]
x ≥ 1
Case 2: -([tex]2x+1[/tex]) ≥ [tex]3[/tex]
Multiply both sides of the inequality by -1 (to reverse the inequality):
-[tex]1(2x + 1)[/tex] ≤ [tex]-1(3)[/tex]
-2x - 1 ≤ -3
Add 1 to both sides of the inequality:
[tex]-2x - 1 + 1[/tex] ≤ [tex]-3 + 1[/tex]
-2x ≤ -2
Divide both sides of the inequality by -2 (note that we need to reverse the inequality sign when dividing by a negative number):
[tex]$\frac{-2x}{-2} ≥ \frac{-2}{-2}$[/tex]
x ≥ 1
Combining the solutions from both cases, we have x ≥ 1.
Therefore, the solution to the inequality |[tex]2x+1[/tex]| ≥ [tex]3[/tex] is [tex]x[/tex] ≥ [tex]1[/tex].
For more questions on inequality :
https://brainly.com/question/24372553
#SPJ8
Let P(x) = -50x+20,000x-1,5000,000 represent the profit function for manufacturing a particular model of recreational
vehicle (RV) and x represent the number of RVS produced monthly. Use a compound inequality to state the range of the
number of RVs that need to be sold each month for the company to make a profit.
O 0
100
200
none of the answer choices
O 0
O 100
Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".
To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.
The profit function is given by P(x) = -50x + 20,000x - 1,500,000.
To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:
-50x + 20,000x - 1,500,000 > 0.
Combining like terms, we have:
19,950x - 1,500,000 > 0.
Now, let's solve this inequality for x:
19,950x > 1,500,000.
Dividing both sides by 19,950, we get:
x > 1,500,000 / 19,950.
Simplifying the right side, we have:
x > 75.
The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.
Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".
for such more question on range
https://brainly.com/question/30389189
#SPJ8
A spinner has six equal sections from 1 to 6 what is the probability what is the probability of spinning either a 5 or 6
1. Solve and show your work for each question.
(a) What is 0.36-- (line on 3&6) expressed as a fraction in simplest form?
(b) What is 0.36- (line on 6) expressed as a fraction in simplest form?
(c) What is 0.36 expressed as a fraction in simplest form?
The decimal 0.36 can be represented as a fraction in simplest form as 9/25. It can also be expressed as a repeating decimal using a variable.
a) 0.36 can be represented as a fraction in simplest form by using place value to identify the denominator. The number 3 is in the hundredths place value position.
Thus, the denominator is 100. 36 is in the numerator position.
Therefore, 0.36 in fraction form is 36/100 which simplifies to 9/25.
b) 0.36 can be represented as a fraction in simplest form by identifying the denominator based on place value.
In this case, 6 is in the thousandths place value position, so the denominator is 1000. 36 is in the numerator position. Thus, 0.36 in fraction form is 36/1000 which can be simplified to 9/250.
c) To write 0.36 as a fraction in simplest form, the place value of each digit needs to be considered. 3 is in the tenths place value position and 6 is in the hundredths place value position.
Therefore, 0.36 in fraction form is 36/100 which simplifies to 9/25.The decimal 0.36 can be represented in fraction form as 36/100 or 9/25.
To determine the fraction in simplest form, the denominator must be reduced to its lowest possible value without changing the numerator. The decimal 0.36 with a line on top of 3 and 6 represents a repeating decimal.
To express this number as a fraction, a variable is used.
In this case, the variable x is equivalent to 0.36. By setting up a proportion and solving for x, the answer can be found.
For more questions on decimal
https://brainly.com/question/28393353
#SPJ8
Simplify the expression. Write the answer without using negative exponents. Assume that the variable is restricted to those numbers for which the expression is defined.
−m−8m9
The simplified expression is m^1 or simply m.
To simplify the expression −m^(-8) * m^9 without using negative exponents, we can utilize the properties of exponents.
First, let's deal with the negative exponent. A negative exponent indicates that the term should be moved to the denominator. So, we can rewrite −m^(-8) as 1/m^8.
Now, we can simplify the expression further: 1/m^8 * m^9.
When multiplying terms with the same base, we add the exponents. In this case, we have m^(-8) * m^9, which becomes m^(-8 + 9) = m^1 = m.
Finally, multiplying 1/m^8 by m gives us (1/m^8) * m = 1/m^(8-1) = 1/m^7.
Therefore, the simplified expression is 1/m^7, where m is the variable restricted to those numbers for which the expression is defined. By eliminating the negative exponent and combining like terms, we've simplified the expression without using negative exponents.
for such more question on simplified expression
https://brainly.com/question/723406
#SPJ8
Explain the process you would use to find the area of the shaded region. Then calculate the shaded region.
You may leave your answer in terms of m or round to the nearest tenth.
Given statement solution is :- To find the area of the shaded region, we first need to determine the shapes involved and their respective areas. A general process that you can apply to various scenarios, Identify the shapes , Break down the region, Calculate individual areas.
To find the area of the shaded region, we first need to determine the shapes involved and their respective areas. Without a specific diagram or description, I'll provide a general process that you can apply to various scenarios.
Identify the shapes: Examine the diagram and determine the shapes that make up the shaded region. These shapes can include rectangles, triangles, circles, or combinations of them.
Break down the region: If the shaded region consists of multiple shapes, break it down into simpler, recognizable shapes. This step is crucial for accurately calculating the total area.
Calculate individual areas: Determine the area of each shape by using the appropriate formulas. Here are some common formulas:
Rectangle: Area = length × width
Triangle: Area = (base × height) / 2
Circle: Area = π × radius²
Sum the individual areas: Add up the areas of all the individual shapes to find the total area of the shaded region.
For such more questions on Shaded Region Area
https://brainly.com/question/31408242
#SPJ8
Instructions:
• View the video found on page 1 of this journal activity.
. Using the information provided in the video, answer the questions below.
. Show your work for all calculations.
The Student's Conjecture: What are you trying to determine? (1 point)
Conjecture
The student in the video is trying to determine if the number of sides of a regular polygon has a relationship to the sum of its interior angles.
How to explain the informationThey are specifically interested in finding a formula that can be used to calculate the sum of the interior angles of any regular polygon, given the number of sides.
The student's conjecture is that the sum of the interior angles of a regular polygon is equal to (n-2)*180, where n is the number of sides.
In order to test their conjecture, the student drew a regular polygon with 3 sides, 4 sides, 5 sides, and so on, up to a regular polygon with 100 sides. They then calculated the sum of the interior angles of each polygon and compared their results to their conjecture.
The student's results showed that the sum of the interior angles of each regular polygon was equal to (n-2)*180, as they had conjectured. This suggests that their conjecture is correct.
Learn more about polygon on
https://brainly.com/question/1592456
#SPJ1
A league is a nautical measurement equal to about 3 miles. If a ship travels 2,000 leagues, about how many miles does the ship travel?
Answer: 600000
Step-by-step explanation: just multiply it man
4 yd
6 yd
?
11 yd
5 yd
12 yd
0
Answer:
I think it might be 10 yd but I wish I could be a better help
Step-by-step explanation:
Determine the following estimate without using a calculator. Then use a calculator to perform the computation necessary to obtain an exact answer. How reasonable is your estimate when compared to the actual answer? Estimate the total cost of six grocery items if their prices are , , , , , and , by rounding each price to the nearest dollar and then adding.
a.
The estimated total cost of the grocery items is $36.
b.
The actual total cost of the grocery items is $35.82.
How do we calculate?for part a.
We will round each price to the nearest dollar:
$5.12 = $5
$3.07 = $3
$7.11 = $7
$1.67 = $2
$13.18= $13
$5.67 = $6
Summing them up, we have:
$5 + $3 + $7 + $2 + $13 + $6 = $36
the estimated total cost of the grocery items is $36.
for part b.
We will calculate the actual total cost of the grocery items by using a calculator:
$5.12 + $3.07 + $7.11 + $1.67 + $13.18 + $5.67 = $35.82
In conclusion, we will find the actual total cost of the grocery items as $35.82.
The complete question is added as an image
Learn more about actual total cost at:
https://brainly.com/question/29509552
#SPJ1
Please help I been stuck on this question for so long
Answer: 1/ 3 ^9
Step-by-step explanation:
Answer:
1/39
Step-by-step explanation:
3-9=1/39
The answer is 0ne over three exponent nine