How many triangles can be constructed with angles measuring 120°, 40°, and 10°?
Answers
Answer:
0
Step-by-step explanation:
All angles in a triangle must add to 180 degrees
Related Questions
He then unpacked 192 packs of frozen peas from 8 boxes.How many packs of frozen peas were in each box?
Which expression is irrational? 8 over 5. square root of 4 square root of 10. square root of 64
it takes a hose 4 minutes to fill a rectangle 9inc long, 11inches wide and 12 inches tall, how long will it take to fill an aquarium 24 by 25 by 33 inches tall
In January 2012, the U.S. Population was about 313 million people. In January 2017, it was about 324 million. What was the average rate of population change per year?
Answers
Final answer:
The question pertains to Mathematics, asking how to evenly split a bill. In this case, $120 is divided by three (you and your two friends), resulting in each person paying $40.
Explanation:
The subject of this question is Mathematics, specifically a calculation problem. You are faced with the scenario of splitting a dinner bill evenly with your friends. The bill comes to a total of $120 and you need to split it amongst three people: yourself and two friends.
To calculate this, you simply need to divide the total amount of the bill by the number of people. So, $120 divided by 3 equals $40. Thus, each person will pay $40 to cover the total cost of the meal.
In conclusion, when you divide any amount equally amongst a group of people, you are performing a mathematic operation known as division. In this question, you divide the total cost of the dinner by the number of people to find out how much each person will have to pay. In this case, each person will pay $40.
Learn more about Division here:
#SPJ11
0.000005
0.00005
0.0005
Answers
500 * 0.000000001 = 0.0000005 Giga seconds
Final answer:
500 seconds equates to 0.0000005 gigaseconds. This is determined by dividing 500 seconds by 1,000,000,000 seconds (the number of seconds in a gigasecond).
Explanation:
In the field of physics, the measure of time can be broken down into various units. The smallest unit is the second. Higher units include kiloseconds, megaseconds, and gigaseconds. One gigasecond (Gs) is equal to 109 seconds or 1,000,000,000 seconds.
To convert 500 seconds into gigaseconds, you need to divide 500 by 1,000,000,000.
So, 500 seconds = 500 / 1,000,000,000 Gs.
This calculation results in 0.0000005 Gs, which is your answer.
Learn more about Time Conversion here:
#SPJ11
Answers
Answers
Answer: The answer is
Step-by-step explanation: Given that the co-ordinates of point G and H are (3, -1) and (-2, 3) respectively.
We are to find the y-value of the point P that is located at two-third distance from point G to point H.
As shown in the attached figure, the ration in which the point P divides the line segment GH is 2 : 1.
Therefore, the co-ordinates of point P will be
Thus, the y-value of the point P is
m : n = 2 : 1
( x, y ) = ( (1*3 + 2*(-2))/(2+1) ; (1 * (-1) + 2 * 3) /(2 + 1) ) =
= ( (3-4)/3 ; (-1+6)/3 ) 1.67
x= -2 and x = -16
x = 2 and x = V-10
x = 4 and x = -10
x = 40 and x = -58
Answers
Answer:
The answer is x=4 or x=−10
Solutions:
(x + 3)² = 49
(x+3)(x+3)=49
x²+6x+9=49
x²+6x+9-49=0
(x-4)(x+10)
x-4=0 x+10=0
x=4 x=-10
Use these expressions to write an inequality based on the given information.
Solve the inequality, clearly indicating the width of the rectangle
Answers
L=7+W
A rectangle's perimeter (the total sum of its sides) will be made my 2 sides representing the length (2L) and 2 sides representing the width (2W). We also know that this rectangle's perimeter is greater than 62. Since eventually we are solving for W, let's state all expressions in terms of W:
2L=2(7+W)
2(7+W)+2W>62
14+2W+2W>62
14+4W>62
4W>62-14
4W>48
W>48/4
W>12
If the rectangle's perimeter is greater than 62, then the width will be greater than 12. Let's confirm this:
Perimeter=2L+2W
P=2(7+12)+2(12)
P=14+24+24
P=62
So we can see that if the perimeter is to surpass 62, W needs to be greater than 12 and L ( which is also 7+W) needs to be greater than 19.
Final answer:
The length of the rectangle is expressed as w + 7 mm. The inequality for the perimeter is 2(w + w + 7) > 62. The solution for the inequality reveals that the width, w, must be more than 12mm.
Explanation:
The question is asking for an expression for the length of a rectangle in terms of the width and an inequality based on the perimeter. We are given that the length of the rectangle is 7 mm longer than its width, and its perimeter is more than 62 mm.
The width of the rectangle is defined as w. We can express the length as w + 7 mm, since it is 7 mm longer than the width.
The perimeter of a rectangle is calculated as 2 times the sum of its width and length, so we form the inequality: 2(w + w + 7) > 62.
To solve it, we simplify the left side: 4w + 14 > 62. We then subtract 14 from both sides, getting 4w > 48. Finally, we divide both sides by 4, which gives us w > 12. Therefore, the width of the rectangle must be more than 12 mm.
Learn more about Inequalities here:
#SPJ11