Three triangles have the side lengths given below:
Triangle X: 8cm, 13cm, 5cm
Triangle Y: 14cm, 30cm, 17cm
Triangle Z: 26cm, 10cm, 24cm
Which of the triangles could not be right triangles?
Answer:
Triangle Z
Step-by-step explanation:
If a triangle is a right angle triangle, it will follow the Pythagoras theorem.
By Pythagoras theorem,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
Options (1)
Side lengths of the triangle X: 8 cm, 13 cm, 5 cm
By Pythagoras theorem,
(13)² = 8² + 5²
169 = 64 + 25
169 = 69
False.
Option (2)
Side lengths of triangle Y: 14 cm, 30 cm, 17 cm
By Pythagoras theorem,
(30)² = (14)² + (13)²
900 = 196 + 169
900 = 365
False.
Option (3)
Side lengths of triangle Z: 26 cm, 10 cm, 24 cm
By Pythagoras theorem,
(26)² = (10)² + (24)²
676 = 100 + 576
676 = 676
True.
Therefore, triangle Z represents a right triangle.
Explain why the quotient of two integers with different signs is negative PLEASE.
Answer:
Ok, so we have the fact that plus +minus=minus
Thats the fact. It always works that way that same signs means positive and different means negative, as explained with logic.
4+(-5)
So we know that 4 is positive and -5 is negative
if you look at it through a number line, substracting 5 from 4 you have
3--->2---->1---->0---->-1
Under zero, the negatives start, so its proved by maths and logic as well.
Step-by-step explanation:
The quotient of two integers with different signs is negative because if a number is divided by the negative number it always gives a negative value.
What is the quotient?The number being divided is referred to as the dividend, and the number being divided by it is referred to as the divisor. The quotient is the outcome of the division.
Due to the following causes, it is discovered that the two quotients with the two different signs give a negative quotient.
Divide the absolute values of the integers to divide the two numbers with a different sign. The ratio is adverse. Note from this rule that 12/–3 and −12/3 are equal to – 4.
The product of two negative integers has a positive quotient. If the indicators differ, the response is unfavorable. The answer is yes if the signals are consistent.
Thus, the quotient of two integers with different signs is negative because if a number is divided by the negative number it always gives a negative value.
Learn more about the quotient here,
https://brainly.com/question/16134410
#SPJ2
A chord is 28 inches long in a circle with a
radius of 50 inches. Find the distance the
chord is from the center of the circle.
Distance=
Given that,
Length of a chord = 28 inches
Radius of the circle = 50 inches
To find,
The distance the chord from the center of the circle.
Solution,
Let the distance from the chord to the centre of circle is x.
It is denoted by OM.
Using Pythagoras theorem to find it.
[tex]50^2=28^2+x^2\\\\x=\sqrt{50^2-28^2} \\\\x=41.42\ \text{inches}[/tex]
So, the distance from the chord to the centre of circle 41.42 inches
Please help with this acellus question!
Find the value of x.
2x-3
14
х
10
x = [?]
Enter
Answer:
The value of x is 5
Step-by-step explanation:
In the given triangle
∵ A segment joining two points lie on the two side
∵ This segment is parallel to the third side
∴ This segment divides the two sides into parts that have the same ratio
→ That means x over 2x - 3 equal to 10 over 14
∵ [tex]\frac{x}{2x-3}[/tex] = [tex]\frac{10}{14}[/tex]
→ By using cross multiplication
∴ 10 × (2x - 3) = x × 14
∴ 10(2x) - 10(3) = 14x
∴ 20x - 30 = 14x
→ Add 30 to both sides
∵ 20x - 30 + 30 = 14x + 30
∴ 20x = 14x + 30
→ Subtract 14x from both sides
∵ 20x - 14x = 14x - 14x + 30
∴ 6x = 30
→ Divide both sides by 6
∴ x = 5
∴ The value of x is 5
Answer:
x = 5
Hope This Helps Mate!
Plssss help thx
Algebra
Answer:
f(x)=2x²+24x+22
Step-by-step explanation:
.......
hope it helps
Examine these points on line u and line v. Line u: (9, –8), (5, 4) Line v: (4, 2), (7, –7) How many points of intersection are there between line u and line v?
Answer:
The line u and line v have no point of intersection because they are parallel lines
Step-by-step explanation:
The slope of a straight line is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
The slope of line u is (4 - (-8))/(5 - 9) = -3
The equation for line u is y - 4 = -3*(x - 5)
y = -3·x + 15 + 4 = 19 - 3·x
The slope for line v is (-7 - 2)/(7 - 4) = -3
The equation for the line v is y - 2 = -3*(x - 4)
∴ y = -3x + 12 + 2 = -3x + 14
y = 14 - 3·x
Therefore. line u and line v have the same slope and are therefore parallel and they do not intersect
Answer:
The correct answer is A: Zero
Step-by-step explanation:
1. Although she’s only in middle school, Tameka loves to drive go-carts! Her favorite place to drive go-carts, Driver’s Delight, has 3 circular tracks. Track 1 has a radius of 60 feet. Track 2 has a radius of 85 feet. Track 3 has a radius of 110 feet. a. Compute the circumference of Track 1. b. Compute the circumference of Track 2. c. Compute the circumference of Track 3. d. Driver’s Delight is considering building a new track. They have a circular space with a diameter of 150 feet. Compute the circumference of the circular space.
Tameka wants to build a circular go-cart track in her backyard. a. If she wants the track to have a circumference of 150 feet, what does the radius of the track need to be? b. If she wants the track to have a circumference of 200 feet, what does the radius of the track need to be? c. If she wants the track to have a circumference of 400 feet, what does the diameter of the track need to be?
the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.
a. The circumference of Track 1 is 376.8 feet.
b. The circumference of Track 2 is 533.8 feet.
c. . The circumference of Track 3 is 690.8 feet.
The circular space Driver’s Delight has of 150 feet radius will have a circumference of 471 feet.
What is circumference?The circumference is the distance around the circle and he formula to calculate is 2πr, where r is the radius.
Driver’s Delight has 3 circular tracks for go-carting.
Track 1 has a radius of 60 feet therefore the circumference of this circular track will be,
Track₁ circumference = (2πr).
= (2×3.14×60) feet.
= 376.8 feet.
Track 2 has a radius of 85 feet therefore the circumference of this circular track will be,
Track₂ circumference = (2πr).
= (2×3.14×85) feet.
= 533.8 feet.
Track 3 has a radius of 110 feet therefore the circumference of this track will be,
Track₃ circumference = (2πr).
= (2×3.14×110) feet.
= 690.8 feet.
They also have a circular space of 150 feet there the circumference of this circular space will also be (2πr). And we know Diameter = Twice of radius.
So, we just have to multiply the diameter by π which has an approximate value of 3.14.
So, the circumference of this circular space is
= 150×π feet.
= 150×3.14 feet.
= 471 feet.
learn more about circumference here :
https://brainly.com/question/12512221
#SPJ2
As an estimation we are told 5 miles is 8 km.
Convert 20 km to miles.
Answer:
12.4 miles
Step by Step Explanation:
You have to multiply 20 by 0.6213 then you get your answer. You can round it if you want.
Answer:
12.5
Step-by-step explanation:
I got the answer on Hegarty maths
hope its helpfully
Which statement best explains if the graph correctly represents the proportional relationship y = 0.5x? (4 points)
A coordinate plane is shown. Points are graphed at 1 and 0.5 and 4 and 2. The points are joined by a line.
It does, the points shown on the line would be part of y = 0.5x.
It does, all proportions can be shown on a graph of this line.
It does not, the points shown would not be part of y = 0.5x.
It does not, proportions cannot be represented on a graph.
Answer:
I believe the answer is
Yes, the points shown on the line would be part of y = 0.5x
Answer:
A
Step-by-step explanation:
2x-8+3x+2=4x+10+3x-6
Step by step
Answer:
2x-8+3x+2=4x+10+3x-6
We move all terms to the left:
2x-8+3x+2-(4x+10+3x-6)=0
We add all the numbers together, and all the variables
2x+3x-(7x+4)-8+2=0
We add all the numbers together, and all the variables
5x-(7x+4)-6=0
We get rid of parentheses
5x-7x-4-6=0
We add all the numbers together, and all the variables
-2x-10=0
We move all terms containing x to the left, all other terms to the right
-2x=10
x=10/-2
x=-5
Step-by-step explanation:
David is making patterns using these rules. Rule for Pattern A: start with 20 and subtract 2 Rule for Pattern B: start with 10 and subtract 1 Which patterns did David make?
Answer:
20,18,16,14,12,10,8,6,4,2
10,9,8,7,6,5,4,3,2,1
Step-by-step explanation:
Pattern A:
Rule : start with 20 and subtract 2
Pattern B:
Rule : Start with 10 and subtract 1
Pattern 1:
20 - 2 = 18
18 - 2 = 16
16 - 2 = 14
14 - 2 = 12
12 - 2 = 10
10 - 2 = 8
8 - 2 = 6
6 - 2 = 4
4 - 2 = 2
20,18,16,14,12,10,8,6,4,2
Pattern 2:
10 - 1 = 9
9 - 1 = 8
8 - 1 = 7
7 - 1 = 6
6 - 1 = 5
5 - 1 = 4
4 - 1 = 3
3 - 1 = 2
2 - 1 = 1
10,9,8,7,6,5,4,3,2,1
A tour director collected AED 258 for 13 tour packages. Tour packages A cost AED 18 and tour package B costs AED 22. How many of each tour package were sold?
Answer:
6 packages B
7 packages A
Step-by-step explanation:
let the number of packages A be a and the number of packages B be b
Total number of packages is 13;
Thus;
a + b = 13 •••••(i)
Total package a cost is 18(a) = 18a
Total package b cost is 22(b) = 22b
Total of both is 258
18a + 22b = 258 •••••••(ii)
From i, a = 13-b
Put this in equation ii
18(13-b) + 22b = 258
234-18b + 22b = 258
4b = 258-234
4b = 24
b = 24/4 = 6
since;
a + b = 13
a + 6 = 13
a = 13-6
a = 7
Factorise fully 9x^2-9
Answer:
180
Step-by-step explanation:
Tyler, Jackie, Pam, and Marc all live on the same street. Tyler lives 1/2 mile from the neighborhood's public school. Jackie lives 5/9 mile from the school. Pam lives 4/7 mile from the school, and Marc lives 2/5 mile from the school. Who lives farthest from the school?
Answer:
pam
Step-by-step explanation:
you can make all fractions equivalent using a common denominator of 620 or change each to a decimal, then compare:
1/2 = .50
5/9 = .55
4/7 = .57
2/5 = .40
Giving brainliest to first person hurry help!!
Answer: If you're looking for the sum of the equation, it's 9.57.
If you're looking for a better way to add it. It's this. (1.7 + 5.3) + 2.57.
Step-by-step explanation: The reason for my answer is quite simple. Since 1.7 and 5.3 add up to 7, all you need to do is add 7 and 2.57. That way, it's much easier to get the answer 9.57
Hope this helped :)
Solve the equation 8 sin x = 2.5 for
the interval 0° to 720°
Answer:
18.2°, 161.8° and 378.2°
Step-by-step explanation:
Given the expression:
8 sin x = 2.5
Divide both sides by 8
sinx = 2.5/8
Sinx = 0.3125
x = arcsin(0.3125)
x1 = 18.2
Since sin theta is positive in the second quadrant, x2 = 180 - 18.2 = 161.8°
Since our angle must lie in between 0° and 720°,then;
x3 = 360 + 18.2 = 378.2°
Hence the required angles are 18.2°, 161.8° and 378.2°
need help for pythagorean theorem model
Answer:
8
Step-by-step explanation:
(10)^2 - (6)^2 = 64
Square root 64 = 8
What is 4+6-23+30+80-12
Answer:
85 is the answer
Step-by-step explanation:
byeeeeee
Please Help What is 3/5 x 5/9
Answer:
1/3
Step-by-step explanation:
3/5 × 5/9 is 15/45 but simplified it is 1/3
Answer:
1/3
Step-by-step explanation:
3/5×5/9=?
|
3/5×5/9= 15/45
|
15/45 divided by 15= 1/3
|
Therefore 3/5x5/9=1/3
A rational number is multiplied by an irrational number. Which statement about the
product is true?
a) the product is an irrational number
b) the product is a positive integer
c) the product is a rational number
d) the product is a negative integer
Answer:
a
Step-by-step explanation:
irration minus rathional is a irrational number
A jeweler is making a triangular pendant. He has two sides of length 23 mm and 31 mm. What are the
possible lengths (in whole mm) for the third side?
Answer:
38.60mm
Step-by-step explanation:
Step one:
Given data
We are given that the dimension of the triangles are length 23 mm and 31 mm
Let us assume that the triangle is a right angle triangle
Step two:
Applying the Pythagoras theorem we can find the third as
[tex]z^2= x^2+y^2\\\\z^2= 31^2+23^2\\\\z^2= 961+529\\\\z^2= 1490\\\\[/tex]
square both sides
z= √ 1490
z= 38.60mm
Hence a possible dimension of the third side is 38.60mm
Y = 15x + 10, where y is the total cost of renting 1 bicycle on the boardwalk for x hours. Determine whether the function is proportional or non-proportional. Explain.
Answer:
The function is non-proportional.
Step-by-step explanation:
If the function was proportional, when the number of hours spent riding the bicycle is equal to 0, the total cost of renting the bicycle would also be 0. In other words, the function would be proportional if y=0 when x=0. However, this is not the case.
[tex]y=15x+10[/tex]
Plug 0 into the equation as x
[tex]y=15(0)+10\\y=10[/tex]
When 1 bicycle has been rented for 0 hours, the customer still has to pay 10 dollars just for renting it. When x=0, y=10. This means that the function is non-proportional.
I hope this helps!
write a quadratic polynomial, sum of whose zeroes is 2 and product is -8
Answer:
x^2 +2x-8
Step-by-step explanation:
Here, we want to write the quadratic polynomial given the sum of the root and the product
mathematically, we can have the factors as -2 And +4
So we have the equation as;
(x-2)(x + 4)
= x^2+ 2x - 8
Express this answer as a unit rate: $50 for 4 days of work. Lable the unite rate.
Ans
$12.5/1 day
Step-by-step explanation:
Just cause
A meteorologist found that the rainfall in Belleville during the first half of the month was 3/8 of an inch. At the end of the month, he found that the total rainfall for the month was 1/2 of an inch. How much did it rain in the second half of the month?
Answer:
1/8 in.
Step-by-step explanation:
The amount of rain in the second half of the month is the difference between the two amounts of rain.
1/2 in. - 3/8 in. = 4/8 in. - 3/8 in. = 1/8 in.
Answer: 1/8 in.
Answer:
The answer is 1/8
Step-by-step explanation:
Can I get brainiest
Given that f(x) = x2 + 4x - 32 and g(x) = x– 4, find (f + g)(x) and express
the result in standard form.
Answer:
(f + g)(x) = x² + 5x - 36
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/Coefficients/DegreesFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = x² + 4x - 32
g(x) = x - 4
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute: (f + g)(x) = x² + 4x - 32 + (x - 4)Combine like terms (x): (f + g)(x) = x² + 5x - 32 - 4Combine like terms (Z): (f + g)(x) = x² + 5x - 36An original oil painting measures 55" x 55". The artist wants to produce prints that are 2.5 times smaller than the original painting. What will be the side length, in inches, of the prints?
Answer:
The side length of the prints is approximately 34.785 inches.
Step-by-step explanation:
First, we have to calculate the area of the original oil painting ([tex]A[/tex]), measured in square inches, by the following formula:
[tex]A = l^{2}[/tex] (1)
Where [tex]l[/tex] is the length of the side, measured in inches.
And the length of the miniature is determine by means of reduction factor ([tex]k[/tex]), with no unit:
[tex]\frac{A}{k} = l'^{2}[/tex] (2)
If we know that [tex]l = 55\,in[/tex] and [tex]k = 2.5[/tex], then the side length of the miniatures is:
[tex]l' = \sqrt{\frac{l^{2}}{k} }[/tex]
[tex]l' = \frac{l}{\sqrt{k}}[/tex]
[tex]l' = \frac{55\,in}{\sqrt{2.5}}[/tex]
[tex]l' \approx 34.785\,in[/tex]
The side length of the prints is approximately 34.785 inches.
8p2 + 2p+ 7p? does anyone know?
Please help asap, thank you!
Answer:
x ≈ 2.1
y ≈ 5.4
w = 5
Step-by-step explanation:
The given parameters are;
Segment AC = 13
Segment BC = y
Segment AD = 12
Segment CD = w
Segment BD = x
By Pythagoras's theorem, for the right triangle ΔACD, we have;
[tex]\overline {AC}[/tex]² = [tex]\overline {AD}[/tex]² + [tex]\overline {CD}[/tex]²
∴ 13² = 12² + w²
w² = 13² - 12² = 25
w = √(25) = 5
w = 5
By, Pythagoras's theorem similarly, in the right triangle ΔBCD we have;
y² = x² + w²
∴ y² = x² + 5² = x² + 25
y² = x² + 25
In the right triangle ΔABC we have;
[tex]\overline {AB}[/tex]² = [tex]\overline {AC}[/tex]² + [tex]\overline {CB}[/tex]²
∴ (12 + x)² = 13² + y² = 13² + (x² + 25)
(12 + x)² = 13² + (x² + 25)
144 + 24·x + x² = 13² + x² + 25
24·x = 13² + 25 - 144 = 50
x = 50/24 ≈ 2.1
x ≈ 2.1
y² = x² + 25
∴ y = √(x² + 25) = √((50/24)² + 25) = 65/12 ≈ 5.4
y ≈ 5.4
2. A farm lets you pick 3 pints of raspberries for $12.00. a. What is the cost per pint? b. How many pints do you get per dollar? c. At this rate, how many pints can you aford for $20.00? d. At this rate, how much will 8 pints of raspberries cost?
Answer:
(a) the cost per pint = $4 per pint
(b) the number of pints per dollar = 0.25 pints per dollar
(c) the number of pints you can afford for $20.00 = 5 pints of raspberries
(d) the cost of 8 pints of raspberries = $32
Step-by-step explanation:
Given;
cost of 3 pints of raspberries = $12.00
(a) the cost per pint
[tex]= \frac{\$12}{3 \ pints} = \$4 \ \ per \ pints[/tex]
(b) the number of pints per dollar
[tex]= \frac{ 3 \ pints}{\$12 } = \frac{3 \times\frac{1}{12} }{12 \times\frac{1}{12} } = \frac{\frac{1}{4} \ pints }{1\$} = \frac{0.25 \ pints}{1 \$} = 0.25 \ pints \ per \ dollar[/tex]
(c) the number of pints you can afford for $20.00
= (0.25 pints per dollar) x ($20.00) = 5 pints of raspberries
(d) the cost of 8 pints of raspberries
= ($4 per pints) x (8 pints) = $32