If three lengths can make a triangle by using the Triangle Inequality Theorem which states . that any two triangle sides added together must exceed the third side If the sum of any two sides is equal to or less than the third side, then the lengths cannot make a triangle.
The Triangle Inequality Theorem can be used to determine if a triangle can be formed from three lengths. According to this theorem, any two triangle sides must add up to more than the third side. To put it to use, add up the lengths of the first two sides and compare them to the third side's length. The lengths cannot form a triangle if the total of the first two sides is more than or equal to the third side. The lengths can form a triangle if the product of the first two sides is bigger than the product of the third side.
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For a project in her Geometry class, Violet uses a mirror on the ground to measure the height of her school’s football goalpost. She walks a distance of 6.65 meters from the goalpost, then places a mirror flat on the ground, marked with an X at the center. She then walks 4.25 more meters past the mirror, so that when she turns around and looks down at the mirror, she can see the top of the goalpost clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.75 meters. How tall is the goalpost? Round your answer to the nearest hundredth of a meter.
Answer: To find the height of the goalpost, we can use the information provided in the problem and the concept of similar triangles. Since Violet is looking down at the mirror, the line of sight from her eyes to the top of the goalpost forms a right angle with the ground. This right angle creates two similar triangles, one between her eyes, the ground, and the top of the goalpost, and the other one between the mirror on the ground, the goalpost, and a point on the ground that is the same distance from the mirror as the top of the goalpost is from Violet's eyes.
Since similar triangles have the same angle measures, we can set up the following proportion:
(distance from mirror to point on the ground) / (distance from mirror to top of goalpost) = (distance from Violet's eyes to ground) / (height of goalpost)
We can now use the information provided in the problem to solve for the height of the goalpost.
(6.65+4.25)/x = 1.75 / H
x = (6.65+4.25) * (1.75/H)
Where x is the distance from mirror to top of the goalpost.
Substitute the known values and solve for H
H = 1.75*(6.65+4.25) / x = 1.75*10.9 / x
We know that x = 4.25, so
H = 1.75*10.9 / 4.25 = 4.093 m
The height of the football goalp
Step-by-step explanation:
Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese. how much cheese does mai use per pizza? At this rate, how much cheese will she need to make 15 pizzas? Please help its due tomorrow
Mai uses 10 ounces of cheese to make 4 pizzas, so she uses 10/4 = <<10/4=2.5>>2.5 ounces of cheese per pizza.
To make 15 pizzas, she will need 152.5 = <<152.5=37.5>>37.5 ounces of cheese.
Determine the domain of the following graph
Answer:
-5<=x<=5 or in other terms {-5, 5}
Answer:
-5 ≤ x ≤ 5 Step-by-step explanation: That's the answer the dot starts at the x value of -5 and continues to +5. THe x is in the middle because this is domain.
−16−8≥0
How is it solved?
Answer:Subtract
8
from
−
16
.
−
24
≥
0
Step-by-step explanation:
5. It takes a truck 4 hours to drive 240 miles. What was the truck's miles per hour? How far would the truck go in 1 days (think carefully)?
Answer:
Step-by-step explanation:
a.4 hours drive 240 miles, so the speed is 240÷4=60 miles per hour
b.1 days have 24 hours, then, it will go 60 ×24 = 1440 miles in 1 days
Answer:
1440
Step-by-step explanation:
240+4= 60
distance = rt
r= rate
t = time
IN ONE DAY
60 times 24= 1440
(24 for 24 hours)
PLEASE HELP ME WITH THIS QUESTION AND ILL BRAINLIEST YOU
Answer:
c
Step-by-step explanation:
Two sum of any two side lengths of a triangle will always be greater than the length of the remaining side
a doesn't work because 8+12=20 and 20 is not greater than 20
b doesn't work because 4+5=9 and 9<10
d doesn't work because 6+6=12 and 12 is not greater than 12
c is the only option where you can take any two sides, add them, and the sum will be greater than the remaining side.
For example, for c,
6+8=14, and 14>10
8+10=18, and 18>6
10+6=16, and 16>8
Answer:
b
Step-by-step explanation:
The answer is B because you can automatically mark out C and D because the first two dimensions can't equal to the last one and A is out because 6 and 8 is greater than 10 so that answer wouldn't be correct either.
What should be taken away from 3x² 4y² 5xy 20 obtain X² y²+ 6xy 20?
4x2 - 3y2 - xy should be taken away from 3x² 4y² 5xy 20 obtain X² y²+ 6xy 20
A fraction is a percentage of a whole. This entire sentence could be referring to a single location or a collection of locations. The English word "fraction" originates from the Latin word "fraction," which means "to break." As the first society to comprehend fractions, the Egyptians used fractions to solve a number of mathematical problems, including the distribution of food and resources and the absence of a metal currency.
Assume X is the component that is absent.
As a result, the answer to the question is
(3x2 - 4y2 + 5xy + 20) - (X) = - x2 - y2 + 6xy + 20
To determine the value of X, let's change the words.
X is equal to (-x2 - y2 + 6xy + 20) = 3x2 - 4y2 + 5xy + 20.
X = 4x2 - 3y2 - xy X = 3x2 - 4y2 + 5xy + 20 + x2 + y2 - 6xy - 20
Thus, the expression that should be subtracted is 4x2 - 3y2 - xy.
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J31) what are the undefined values for sinx cosx / 1 - sin²x , where 0 ≤ x < 2pi ?
how?
Answer:Mathematics2 minutes ago
+5 pts
J31) what are the undefined values for sinx cosx / 1 - sin²x , where 0 ≤ x < 2pi ? how?
Step-by-step explanation:
NEED HELP ASAP
NO LINKS AND NO JUST SAYING HI, PLEASE ANSWER LEGITIMATELY! THANK YOU!!!! <3
Answer:
74
Step-by-step explanation:
you have a bag of 850 pieces of candy and you eat half of the piece a day
a. create a table showing the candy remaining for days 0 - 8
b. what is the y-intercept
c. what is the decay factor
d. what equation matches the situation
please help quick. In triangle ABC,
Answer:
What is triangle ABC and what are the measures and what are the angles. Please provide enough information
Step-by-step explanation:
WHAT IS THE VOLUME OF THIS CONTAINER 2FT 1FT 1 FT
Answer:
What container is it. Is it cilyndrical or a prism ?
Step-by-step explanation:
Help me please (no links plz)
9514 1404 393
Answer:
vertex: Ssides: ST and SRStep-by-step explanation:
The vertex is the point the rays have in common. The side rays are named by naming the vertex first, then a point on the ray.
The rays come together at point S. The name of the vertex point is S.
The sides of the angle are rays ST and SR.
If a is 200% of b, what percent of 5a is 4b?
250% (percent) of 5a is 4b.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
here, given that,
a is 200% of b
i.e. a=2b
Now, 5a=10b
So, we have,
5a/4b
=10b/4b
=5/2
=250%
Hence, 250% (percent) of 5a is 4b.
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Anna's hair has grown
2
3
of an inch in the 6 weeks since her last haircut. How fast does her hair grow?
A construction worker is tasked with tiling two square rooms, room A and room B. Room B has side lengths that are double the side lengths of room A. The construction worker uses one box of tiles to complete the flooring of room A.
How many boxes of tiles will they need to complete the flooring of room B? Assume the boxes of tiles are identical.
Therefore, since the area of room B is four times the area of room A, four boxes of tiles will be needed to complete the flooring of room B.
Define Volume and Area.The area is the volume a flat, two-dimensional item occupies in a plane. The space occupied by a three-dimensional object is referred to as its volume. Area is measured in square units. Volume is measured in cubic units.
What is Surface Area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface.
Since the side lengths of room B are double the side lengths of room A, the area of room B is four times the area of room A.
The number of tiles needed to cover a floor is equal to the area of the floor divided by the area of each tile.
Since the boxes of tiles are identical, the number of tiles in each box must also be identical.
Therefore, since the area of room B is four times the area of room A, four boxes of tiles will be needed to complete the flooring of room B.
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Geometry
If BE = 2x + 2, BD = 5x - 3, and
AE = 4x - 6, what are the values
of x and AC?
In parallelogram, x=7 and AC = 44 units are the values of x and AC .
What do math parallelograms mean?
A unique kind of quadrilateral known as a parallelogram is defined by having both pairs of its opposite sides parallel and equal.
A parallelogram ABCD with the coordinates AB II CD and AD II BC can be seen in the provided illustration. Moreover, AB = CD and AD = BC. Non-Example: A parallelogram is not represented by a trapezium.
Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.
BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6
Using (i)
BE = BD/2
2x + 2 = (5x- 3)/2
2(2x + 2) = 5x - 3
4x + 4 = 5x - 3
x = 7
Now , AE = 4(7)-6 = 28-6 = 22
AC =2 AE = 2 (22) =44 units.
Hence, x=7 and AC = 44 units.
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Write a real-world application problem such that the equation to be formed to solve the problem is
7x – 5(x + 8) = 10.
Answer:
X=25
Step-by-step explanation:
Remove parentheses
7x - 5x - 40= 10
Merge the similar terms
2x - 40= 10
Constantly move to the right side and change characters
2x = 10 + 40
Addition
2x = 50
Divide both sides of the equation by 2
x = 25
help me asap ..
- i will give BRAINLIEST.
Answer:
B, C, D, and F are all possible.
Answer:
B, C, D
Step-by-step explanation:
1. A is not possible because right and obtuse both define triangle angles. An angle cannot be obtuse and right at the same time.
2. B is possible because a right triangle can have all sides of different length.
3. C is possible because a scalene triangle can have an obtuse angle.
4. D is possible because an isosceles triangle can have all acute angles.
5. E is not possible because of how equilateral triangles work. When a triangle is equilateral, it is also equiangular, meaning all of its angles are the same. The angles on every type of triangle always add up to 180 degrees. If a triangle is equiangular, the 180 degrees are divided evenly, with every angle being 60 degrees, which is acute. Therefore, an equilateral triangle cannot have a right angle.
6. F is not possible because isosceles and scalene both refer to the side lengths of triangles. A triangle cannot be isosceles and scalene at the same time.
7. G is not possible because equilateral triangles cannot have angles other than 60 degrees and therefore cannot be obtuse.
Can anybody help me please?
Answer:
a or 116
Step-by-step explanation:
First you solve the blue part which is 14*14=196. Then solve the green part 10*8=80. Subtract blue minus green. Which gives you 116.
Find the distance between point k and point L
The distance between two points in a plane is the length of the line segment connecting them. The formula d=((x2 - x1)2 + (y2 - y1)2) is frequently used to determine the separation between two points.
What do you call the distance between points?The length of the line segment bridging two locations in a plane is known as the distance between them. d=((x2 - x1)2 + (y2 - y1)2) is a common formula to calculate the distance between two points. This equation can be used to determine the separation between any two locations on an x-y plane or coordinate plane.
The length of the line segment is the distance between two points. Congruent segments are those that share the same length. By using a ruler to draw a line, we may determine how far apart two points are.
x,y = (-8,0) (-8,0)
or
x/y = -8/0
If there was an association between L and K, we would use x,y = 8,0.
Since the query reads "between point K and point L," the x,y relationship becomes "-8,0."
Therefore, the answer is -8,0.
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(Pls help!!) Find the volume of each cylinder in terms of π. Which cylinder has the greatest volume? Cylinder A: diameter7 in., height12 in. Cylinder B: diameter12 in., height7 in.
Answer: Cylinder B has the greater volume
Step-by-step explanation:
Cylinder A= 147πinch cubed
Cylinder B=252π inch cubed
(if youre using savvas or something like that, use the pie symbol and it might work if youre having difficulties.)
I need help finding the answer X=6y+24
2x+3y=3
Which of the following are possible solutions for this inequality?
What is the maximum number of students among whom 135 pens, 180 pencils and 300 books can be equally divided.
Answer:
Step-by-step explanation: You can add all of these numbers with a calculator. but be sure what are the numbers telling you what to do. So always focus on the words that are going to mention about the numbers.
Barrett earns $15 per hour cutting grass and $10 per hour tutoring reading. In one month, Barrett
needs to save at least $400 for a new lawnmower but does not want to work more than 35 hours.
Part A: Let x represent the hours cutting grass and y represent the hours tutoring. Given x ≥ 0 and
y ≥ 0, select all the inequalities that represent the situation.
A. x + y ≥ 35
B. 15x + 10y ≤ 400
C. x + y ≤ 35
D. 15x + 10y ≥ 400
E. 25x + 25y ≤ 400
F. 15x + 10y ≤ 35
Part B: Determine whether each point is a viable or nonviable solution according to the above scenario.
Viable Nonviable
(10, 25)
(10, 20)
(20, 12)
(35, 0)
(20, 20)
The inequalities that represent the situation are 15x + 10y ≥ 400 and x + y ≤ 35 and the viable solutions are (10, 25), (20, 12), (35, 0) and (20, 20)
The inequalities that represent the situation.From the question, we have the following parameters that can be used in our computation:
Earnings from cutting = $15Earning from tutoring = $10Number of hours = not more than 35Total earnings = At least $400These parameters above mean that
15x + 10y = Total earnings
x + y = Number of hours
So, we have
15x + 10y ≥ 400
x + y ≤ 35
The above represent the inequalities of the situation
The viable solutionsIn (a), we have
15x + 10y ≥ 400
x + y ≤ 35
Next, we test the options
(10, 25)
15 * 10 + 10 * 25 ≥ 400 ⇒ 400 ≥ 400
10 + 25 ≤ 35 ⇒ 35 ≤ 35
True
(10, 20)
15 * 10 + 10 * 20 ≥ 400 ⇒ 350 ≥ 400
10 + 20 ≤ 35 ⇒ 30 ≤ 35
False
(20, 12)
15 * 20 + 10 * 12 ≥ 400 ⇒ 420 ≥ 400
20 + 12 ≤ 35 ⇒ 32 ≤ 35
True
(35, 0)
15 * 35 + 10 * 0 ≥ 400 ⇒ 525 ≥ 400
35 + 0 ≤ 35 ⇒ 35 ≤ 35
True
(20, 20)
15 * 20 + 10 * 20 ≥ 400 ⇒ 500 ≥ 400
20 + 20 ≤ 35 ⇒ 40 ≤ 35
False
Hence, the viable solutions are (10, 25), (20, 12), (35, 0) and (20, 20)
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Find the value of x.
Answer:
x = 68 degrees
Step-by-step explanation:
The right angle symbol tells us its 90 degrees.
90 degrees - 22 degrees = 68 degres
Answer:
x = 68 degrees
Step-by-step explanation:
It is given that this angle is a right angle. A right angle means that it is 90 degrees.
One part of the angle is 22 degrees so the other is labled x.
90 - 22 = 68 degrees
Therefore, x=68 degrees
1/2 X (6 X 4)divided by + 3 + 2
Answer:
1/108
Step-by-step explanation:
Composite Figures Question 4.
A. 42 cm
B. 35 cm
C. 26 cm
D. 14 cm
Answer:
42 cm A
Step-by-step explanation:
Find the measurements of the exterior angles of the polygon
Explain (not optional)
On solving the question, sum of exterior angle is 360 degree. Hence, the value of x is 120°.
How do you calculate a triangle's total exterior angles?The exterior angle of a triangle is equal to the sum of its two opposite interior angles, according to the external angle theorem. Remember that the total external angle, measured from each vertex, is always 360°. Alternatively stated, d + e + f = 360°.The angle that is created between a triangle's extended side and one of its sides is known as the external angle. A triangle has a total of 360 degrees in its outside angles.
x + ( x+6) +114 = 360
2x = 240
x = 120
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