Answers
Related Questions
A triangle has one side that measures 1 foot and another side that measures 20 inches. What are possible lengths of the third side? (Select all that apply.)
6 inches
13 inches
28 inches
36 inches
Answers
Answer:
The correct options for the possible lengths of the third side are;
13 inches
28 inches
Step-by-step explanation:
The given lengths of two sides of the triangle are;
The length of one side of the triangle = 1 foot = 12 inches
The length of the other side of the triangle = 20 inches
The question can be solved by the triangle inequality theorem as follows;
A + B > C
B + C > A
A + C > B
Let the given sides be A = 12 inches and B = 20 inches
We have;
12 + 20 = 32 > C
Therefore, by the triangle inequality theorem, the third side, 'C', is less than 32 inches
Similarly, when C = 6 inches, we have;
A + C = 12 + 6 = 18 < B = 20
Therefore, the third side cannot be 6 inches
when C = 13 inches, we have;
A + C = 12 + 13 = 25 > B = 20
Therefore, the third side can be 13 inches
when C = 28 inches, we have;
A + C = 12 + 28 = 30 > B = 20
Therefore, the third side can be 28 inches
Based on the triangle inequality theorem, the possible lengths of the third side of the triangle are: 13 inches and 28 inches.
The Triangle Inequality Theorem
The triangle inequality theorem states that, sum of the length of any two sides of a given triangle = length of the third side.
Given the measures,
1 ft = 12 iches20 inchesThe possible third side must make the three set of numbers conform to the triangle inequality theorem.
Thus, for 13 inches, we have:
13 + 12 > 20; 12 + 20 > 13; 20 + 13 > 12
Also, for 28 inches, we have:
28 + 12 > 20; 12 + 20 > 28; 20 + 28 > 12
Therefore, based on the triangle inequality theorem, the possible lengths of the third side of the triangle are: 13 inches and 28 inches.
Learn more about triangle inequality theorem on:
https://brainly.com/question/26037134
Can y’all plz help me !!!!!
Answers
Answer:
2
Step-by-step explanation:
4*2=8 and 8+4=12
4x+4=12
- 4
4x=8/4
X=2
PLZ HELP
I’m failing
Answers
Answer:
h = 5
Step-by-step explanation:
h + 9 = 14
Subtract 9 from both sides
h +9 - 9 = 14 - 9
h = 5
Answer:
5
Step-by-step explanation:
9+5=14
Noor, Layla, and Diego play a trivia game. Noor’s score is -2. Layla’s score is 3/4 of Noor’s score. Diego’s score is 2/3 of Layla’s score. What is Diego’s score?
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Answer:
layla is savege score in mobile legends and diego's score in ml is 20
A scale drawing of a building shows 1 inch = 8 feet. How many feet are represented by 3 ¾ inches on the drawing?
Answers
Answer:
30 feet
Step-by-step explanation:
3x8=24 ft
3/4x*8= 6 ft
Can you help me please and thank you:)
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Lupita y Fernando y Andrés quieren comprar entre los tres una bicicleta que ven todos los días en el aparador de la tienda todo para todos para sus vacaciones le han deseado tanto que decidieron comprarla cada uno sacó cuentas de lo que debería pagar por la bicicleta
Answers
Answer:
el precio de la biciclete entre 3 es lo que van a pagar cada quien.
Step-by-step explanation:
What is the measurement of this angle?
__°
Answers
Explanation
Find the sum of5x^2-3x+2 and 3x^2-4x-1
Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Simplifying
(3x + -2)(4x + -1) = 0
Reorder the terms:
(-2 + 3x)(4x + -1) = 0
Reorder the terms:
(-2 + 3x)(-1 + 4x) = 0
Multiply (-2 + 3x) * (-1 + 4x)
(-2(-1 + 4x) + 3x * (-1 + 4x)) = 0
((-1 * -2 + 4x * -2) + 3x * (-1 + 4x)) = 0
((2 + -8x) + 3x * (-1 + 4x)) = 0
(2 + -8x + (-1 * 3x + 4x * 3x)) = 0
(2 + -8x + (-3x + 12x2)) = 0
Combine like terms: -8x + -3x = -11x
(2 + -11x + 12x2) = 0
Solving
2 + -11x + 12x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(1 + -4x)(2 + -3x) = 0
Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve:
Simplifying
1 + -4x = 0
Solving
1 + -4x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -4x = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1
Combine like terms: 0 + -1 = -1
-4x = -1
Divide each side by '-4'.
x = 0.25
Simplifying
x = 0.25
Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve:
Simplifying
2 + -3x = 0
Solving
2 + -3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2
Combine like terms: 0 + -2 = -2
-3x = -2
Divide each side by '-3'.
x = 0.6666666667
Simplifying
x = 0.6666666667
Solution
x = {0.25, 0.6666666667}
2.) 5x^2-3x=2
We move all terms to the left:
5x^2-3x-(2)=0
a = 5; b = -3; c = -2;
Δ = b2-4ac
Δ = -32-4·5·(-2)
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
x1=−b−Δ√2ax2=−b+Δ√2a
Δ−−√=49−−√=7
x1=−b−Δ√2a=−(−3)−72∗5=−410=−2/5
x2=−b+Δ√2a=−(−3)+72∗5=1010=1
Find the area of triangle ABC.
Give your answer correct to 1 decimal
Answers
Answer:
let
a=9cm
b=8cm
c=10cm
Step-by-step explanation:
now
s=(a+b+c)/2=(9+8+10)/2=13.5
area of traingle=√(s(s-a)(s-b)(s-c))=√(13.5(13.5-9)(13.5-8)(13.5-10))=34.197cm²
Can the sides of a triangle have lengths 3, 7, and 15?
Answers
Which is a composite number
81
61
71
41
Answers
Answer:
81
Step-by-step explanation:
A composite number has factor more than just one and itself.
Factors of 81=
1, 3, 9, 27, 81
Help me please I don't know how to solve this problem.
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Solve for x
9
X+4
12
2x
units
Answers
A cylinder with a height of 6 1/2 inches (in.) and a diameter of 5 inches is shown. What is the volume of the cylinder, in cubic inches? (Use 3.14 for π.) cubic inches. Round to the nearest inch!
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Answer:
i dont know for sure but I think it would be 0.07
If you minus a positive number from a negative number is the diffirance a positive number, or a negative number? For example: 5 - ( -2 ) would this problem be positive negative. Also would you add or subtract because there is an negative number?
Answers
Answer:
positive + positive is negative
negative+ positive = negative ii think
Step-by-step explanation:
Will give brainiest to the person who shows how to do the problems step by step (proportionally) and those with the correct answer
Questions (below the pictures):
Answers
Answer:
15. 1.125 hours = 1 hour 7 minutes 30 seconds
17. 3840 cal
18. 60 g
Step-by-step explanation:
15.
8 miles is to 3 hours as 3 miles is to x hours
8/3 = 3/x
8x = 3 * 3
8x = 9
x = 1.125
Answer: 1.125 hours = 1 hour 7 minutes 30 seconds
17.
1/2 avocado is to 160 cal as 12 avocados are to x cal
(1/2)/160 = 12/x
(1/2)x = 12 * 160
x = 24 * 160
x = 3840
Answer: 3840 cal
18.
We need the same units. We convert 2 1/2 cups into tablespoons.
1 cup = 16 tablespoons
2 1/2 cups = 2 1/2 * 16 tablespoons = 2.5 * 16 tablespoons = 40 tablespoons
Now we start the proportion.
1.5 g to 1 Tbsp is as x is to 40 Tbsp
1.5/1 = x/40
x/40 = 1.5
x = 1.5 * 40
x = 60
Answer: 60 g
Can 80°, 75 and 20° form a triangle Justify
Select one:
0
a. No
b. Yes
c. None
Answers
Answer:
A. No
Step-by-step explanation:
We know that the sum of the angles of a triangle is always equal to 180°. The sum of the angles of a triangle is not equal to 180° in this equation. Hence, we cannot form a triangle.
Yes it can
The answer is b
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar.
y=-x^2+90x-454
Answers
9514 1404 393
Answer:
$1571
Step-by-step explanation:
If we assume that y is profit in dollars, the maximum value of y is revealed by a graph to be ...
ymax = $1571
The maximum profit the company can make is $1571 at a selling price of $45 each.
_____
The function can be written in vertex form as ...
y = -(x^2 -90x) -454
y = -(x^2 -90x +45^2) -454 +45^2
y = -(x -45)^2 +1571
Because the leading coefficient is negative, we know this vertex represents a maximum. (x, y) = (45, 1571) at the vertex. Maximum profit is $1571.
It took a skydiver 12 seconds to drop 450 feet. What is the rate (in feet per/second) of the skydiver's drop?
Answers
Answer:
37.5 feet per second
Step-by-step explanation:
Answer:
37.5 ft per second
Step-by-step explanation:
Find the given trigonometric ratio in the problem below.
Answers
Answer:
cosC = 30/50
Step-by-step explanation:
Before you find cosC, you should know that:
tangent = opposite side/adjacent side
sine = opposite side/hypotenuse
cosine = adjacent side/hypotenuse
You should also know that trigonometric ratios work for only right triangles.
If cosine = adjacent side/hypotenuse, then:
cosC = 30/50
cosC = 0.6
If rounding to the nearest four decimals, it should be 0.6000.
what is x? please help
Answers
Answer:
29
Step-by-step explanation:
This is a right triangle because it has the small square in the corner.
And when you have a right triangle the angle with the square in it is ALWAYS going to be 90 degrees.
It gave you one of the angle measurements which is 61.
90+61=151
And When you add all the angle measurements of a triangle it will ALWAYS be a total of 180 no matter what kind of triangle it is.
To find "x" you subtract the sum of the two angles you you know from 180.
180-151=29
Graph the equation y = -x^2+ 8x – 15 on the accompanying set of axes. You must plot 5 points including the roots and the vertex. Using the graph, determine the roots of the equation –x^2 + 8x – 15 = 0.
Answers
Answer:
Graph below
Step-by-step explanation:
Graph of the Quadratic Function
We are given the function:
[tex]y=f(x)=-x^2+8x-15[/tex]
Select 5 values of x={2,3,4,5,6}
And calculate the corresponding values of y:
[tex]f(2)=-2^2+8*2-15=-4+16-15=-3[/tex]
[tex]f(3)=-3^2+8*3-15=-9+24-15=0[/tex]
[tex]f(4)=-4^2+8*4-15=-16+32-15=1[/tex]
[tex]f(5)=-5^2+8*5-15=-25+40-15=0[/tex]
[tex]f(6)=-6^2+8*6-15=-36+48-15=-3[/tex]
We have obtained the points
(2,-3) (3,0) (4,1) (5,0) (6,-3)
Now we plot them in the graph below.
It can be noted three remarkable points:
The vertex is located at (4,1)The roots are located at (3,0) and (5,0)The roots of the equation
[tex]-x^2+8x-15=0[/tex]
Are x=3 and x=5.
im not sure how to do this
Answers
Answer:1 =5
2 = 55/3
3= 11
Step-by-step explanation:
hope i could help lol
1. Take the whole number and bring it to the other side (ex. -10) but convert the sign (-10 changed to +10) then add together
2. Add the x’s together
Divide the x from the other side
2x + y = 11
3x - y = 4
Answers
Answer:
[tex]x=3,y=5[/tex]Step-by-step explanation:
Add the equations together and solve for x.
[tex](2x + y )+ (3x - y) = 11 + 4[/tex]
[tex]5x=15[/tex]
[tex]x=3[/tex]
Use equation [tex]2x+y=11[/tex] to solve for y.
[tex]2(3) +y=11[/tex]
[tex]6+y=11[/tex]
[tex]y=11-6[/tex]
[tex]y=5[/tex]
What is 3 kilometers as meters
Answers
Answer: 3000 meters
Answer:
3000 meters
Step-by-step explanation:
1 kilometer = 1000 meters so 3 = 300 meters
simplify the expression
Answers
Answer:
-88
Step-by-step explanation:
If a=2, we can say that -[tex]a^{2}[/tex] would be -4.
Secondly, if a=2 and b=-6 we can assume that 4ab would become -48.
Finally, if b=-6 we can say that -[tex]b^{2}[/tex] would become -36.
Adding all of those up gives you -88, your answer.
class A has 11 pupils and class B has 14 pupils. Both classes sit the same maths test. the mean score for class A is 32. The mean score for class B is 38. What is the mean score(rounded to 2DP) in the maths test across both classes?
Answers
Answer:
35.36
Step-by-step explanation:
For Class A
Class A has 11 pupils
The mean score for Class A is 32.
The total score of the students =
Mean score × Number of pupils
= 32 × 11
= 352
For Class B
Class B has 14 pupils. The mean score for class B is 38.
The total score of the students =
Mean score × Number of pupils
= 38 × 14
= 532
Total number of pupils for both classes = (11 + 14)pupils
= 25 pupils
Total score for both class = 532 + 352
= 884
The mean score(rounded to 2DP) in the maths test across both classes is calculated as:
Total score of both classes÷ Total number of pupils
884 ÷ 25
35.36
) Which expression is equivalent to 1/3b - 7?
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Parker's dog will be having four puppies. Parker performs a
simulation by tossing a coin to model whether these
puppies will be male or female.
• Let heads (H) = female puppy
• Let tails (T) = male puppy
Answers
Answer:
7/10 70%
Step-by-step explanation:
based on the coin flips, 7 out of 10 of the results have at least 2 female puppies. I hope this is correct :)
Answer: A
Step-by-step explanation: took the quiz and got it right