Answer:
The door has a width of 6.26 feet, with a height of 12.52 feet.
Step-by-step explanation:
You can solve this by taking two pieces of information we're given:
1) the diagonal size of the doorway is 14 feet
2) the height of the doorway twice its width
First lets describe the width and height using the diagonal length. We can do that with the Pythagorean theorem:
w² + h² = 14²
Now we can use the relationship between the width and height to eliminate one variable:
w² + (2w)² = 14²
w² + 4w² = 14²
5w² = 196
w² = 39.2
w ≈ 6.26
So the door has a width of 6.26 feet, with a height of double that, 12.52 feet.
Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The width of the door is 6.26 ft or √(196/5)ft.
What is Pythagoras theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
Given the length of the rectangular door is two times its width, therefore, the length and width of the rectangular door are,
Width = x
Length = 2x
Since the measure of the diagonal of the rectangular door is 14 feet, therefore, using the Pythagorus theorem we can write,
x² + (2x)² = 14²
x² + 4x² = 196
5x² = 196
x² = 196/5
x = 6.26099 ≈ 6.26ft
Hence, the width of the door is 6.26 ft or √(196/5)ft.
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5
An athlete covers three consecutive miles by walking the first mile, running the second mile
and cycling the third. He runs twice as fast as he walks, and he cycles one and a half times as
ast as he runs. He takes ten minutes longer than he would do if he cycled the three miles,
How long does he take by walking, running and cycling?
ter your math answer
Answer:
Total time taken by walking, running and cycling = 22 minutes.
Step-by-step explanation:
Let the speed of walking = x
As given,
The distance of walking = 1
Now,
As [tex]Time = \frac{Distance }{Speed}[/tex]
⇒ Time traveled by walking = [tex]\frac{1}{x}[/tex]
Now,
Given that - He runs twice as fast as he walks
⇒Speed of running = 2x
Also given distance traveled by running = 1
Time traveled by running = [tex]\frac{1}{2x}[/tex]
Now,
Given that - he cycles one and a half times as fast as he runs.
⇒Speed of cycling = [tex]\frac{3}{2}[/tex] (2x) = 3x
Also given distance traveled by cycling = 1
Time traveled by cycling = [tex]\frac{1}{3x}[/tex]
Now,
Total time traveled = Time traveled by walking + running + cycling
= [tex]\frac{1}{x}[/tex] + [tex]\frac{1}{2x}[/tex] + [tex]\frac{1}{3x}[/tex]
= [tex]\frac{6+3+2}{6x} = \frac{11}{6x}[/tex]
If he cycled the three mile , then total time taken = [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] = x
Given,
He takes ten minutes longer than he would do if he cycled the three miles
⇒x + 10 = [tex]\frac{11}{6} x[/tex]
⇒[tex]x - \frac{11}{6} x = -10[/tex]
⇒[tex]-\frac{5}{6}x = -10[/tex]
⇒x = [tex]\frac{60}{5}[/tex] = 12
⇒x = 12
∴ we get
Total time traveled by walking + running + cycling = [tex]\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22[/tex] min
Melinda has a block of clay that weighs 28.8 Oz she divides the clay into a equal places to find the weight w in ounces of each piece does solve the equation 8 W equals 28.8
Answer:
3.6
Step-by-step explanation:
each piece weighs 3.6 ounces
Answer:
3.6
Step-by-step explanation:
28.8/w=8
8w=28.8
w=28.8/8
w=3.6
Which answer choice contains only equations?
Answer:
A
Step-by-step explanation:
because an equation has to have a = in it and A is the only one with two answers with =
Hurry I’ll give 10pts
what’s the area pls help for 30 points ?
Answer:67.5
Step-by-step explanation:
5*10=50
5*7=35 35/2=17.5
17.5+50=67.5
Answer:
5*10=50
5*7=35 35/2=17.5
17.5+50=67.55*10=50
5*7=35 35/2=17.5
17.5+50=67.5
Step-by-step explanation:
Tate purchased a pair of slippers on the internet for a retail price of $16. After 6.5% sales tax, how much were the slippers?
Answer:
$15.02
Step-by-step explanation:
Given data
Total cost= $16
tax= 6.5%
let the actual cost of the slippers be x
6.5/100*x+ x= 16
0.065x+x= 16
1.065x= 16
divide both sides by 1.065
x= 16/1.065
x= 15.02
Hence the actual cost of the slippers is $15.02
I’ll mark u as brainliest
Answer:
8,20,32
Step-by-step explanation:
8
20
32
You would do 2 x 4 and so on
Answer:
8,20,32
Step-by-step explanation:
multiply 4 times each number in the x section
II. Compare. Use >, < or =
6. + 8_____- 9
7. +25_____+26
8.0_____18
9. - 10_____+10
10. -7 ______.18
pls I need it fast
Answer:
6. >
7. <
8. <
9. <
10. <
all the positive integers are valued greater than the negative integers and 0 is not a integer so the positive one will be greater in all the cases
3.3.4 Practice: Angle Relationships in Triangles
Practice
Math 8 Sem 2
Points Possible:5
Date:
Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Answer the questions to find the measures of ∠2 and ∠3.
1. What is the measure of ∠4? Explain how you know.
Write your answer in the space below.
2. What is the sum of the measures of the angles in a triangle?
Write your answer in the space below.
3. ∠1 is in a triangle with ∠4 and a 53° angle. What is the sum of the measures of those two angles?
Write your answer in the space below.
4. What is the measure of ∠1? Explain.
Write your answer in the space below.
5. Find the measure of ∠2. Explain how you found its measure.
Write your answer in the space below.
6. What is the measure of ∠3? Explain.
Write your answer in the space below.
For question 1 and 2, you should keep in mind that the sum of all angles in a triangle is 180°. 1. If the measure of one angle of a triangle is 90 degrees, you can assume that the sum of the other two triangles should be 90 degrees. Because
180 - 90 = 90
The sum of the three angles of any triangle is equal to 180 degrees.
Angle 2=127 because 180-53=127.
Angle 3=23 because 180-30-127=53
Angle 1=37 because 90-53=37
Angle 4=90
Angle 1+4=127
The measure of ∠1 is 125° .
Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46
Answer:
AP EX
Step-by-step explanation:
The tallest mountain in the world is Mt. Everest. It is about
140% as tall as the tallest mountain in the United States. Mt. Mckinley.
Write 140% as a mixed number in simplest form.
Answer:
7/5
Step-by-step explanation:
140 by 100
cutting methord
cut the zeros, then divide by 2.
4. An app developer projects that he
will earn
$20.00 for every 8 apps
downloaded. Write
an equation to represent the proportional
relationship between the number of apps
and
the total earnings.
Please please help please please
Answer:
hexagon, regular polygon
find the length of segment LT PLEASE HELP
a. 5
b. 7
c. 14
d. 21
How do you write your answer as a mixed number fraction?
Answer:
to convert an improper fraction to a mixed fraction, follow these steps:
-divide the numerator by the denominator.
-write down the whole number answer.
-then write down any remainder above the denominator.
Step-by-step explanation:
Answer:
Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the other fraction.
Example: 46/17
46/17= 2 r 12
2 is the whole number, and 12/17 is the fraction next to it.
-8(i - 6) = 32
Solve equation with distributive property
Answer:
i = 2
Step-by-step explanation:
-8(i - 6) = 32
-8i + 48 = 32
-8i = -16
i = 2
PLEASE HELP What is the volume?
0.3 ft
0.3 ft
0.3 ft
cubic feet
[tex]0.3\cdot0.3\cdot0.3=0.0027[/tex]
Hope this helps.
8th grade math solution problem. Please help
Tanisha bought 2 skirts and 3 pairs of pants for $220. A week later she bought 1 skirt and 3 pairs of pants, at the same prices, for $185. How much is each skirt?
Answer:
220.00
-185.00
= 35.00 the difference of what was paid at the same prices.
There are 12 students running for three student coun-
cil positions: president, vice president, and secretary.
Which of the following expressions represents the
number of ways in which these three positions can be
filled by the 12 candidates?
(a) 12.12.12
(c) 12.11.10
3.2.1
(b) 12 · 11 · 10
(d) 12!
The solution is Option C.
The number of ways 3 positions can be filled by the 12 students is given by combinations where ¹²C₃ = ( 12 x 11 x 10 ) / 3 x 2 x 1
What are Combinations?
The number of ways of selecting r objects from n unlike objects is:
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
Let the equation be represented as A
Now , the value of A is
The total number of students n = 12 students
The number of positions in the council x = 3 positions
So , the number of ways the 3 positions can be filled by 12 students is calculated by combinations
where n = 12 and x = 3
ⁿCₓ = n! / ( ( n - x )! x! )
Substituting the values in the equation , we get
¹²C₃ = ( 12! / ( 12 - 3 )! 3! )
On simplifying the equation , we get
¹²C₃ = ( 12! / 9! 3! )
And ,
¹²C₃ = ( 12 x 11 x 10 x 9! / 9! 3! )
¹²C₃ = ( 12 x 11 x 10 ) / 3!
¹²C₃ = ( 12 x 11 x 10 / 3 x 2 x 1 )
¹²C₃ = 220 ways
Hence , the number of ways the 3 positions can be filled by the 12 students is 220 ways
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Por enviar un paquete e de 5kg de peso a una ciudad que está a 60km de distancia una empresa de transporte me ha cobrado 9€ cuanto me costará enviar un paquete de 50 kg a 200km de distancia
Responder:
300 €
Explicación paso a paso:
Dado que:
El peso del paquete de 5 kg enviado a una distancia de 60 km es de 9 €
Tomando el producto:
5 * 60 = 9 €
300 kgkm = 9 €
1 kg · km = 9/300 €
= 0,03 €
Para un paquete de 50 kg, enviado a una distancia de 200 km:
50 * 200 = 10000 kgkm
Costo de envío de paquete:
Precio por kgkm = 0,03 €
10000 * 0,03 € = 300 €
What fraction of an hour is 4 minutes Simplest From
Answer: 1/15
Step-by-step explanation:
An hour is 60 minutes. Thus, simply do 60/4 to get 15, and that the fraction is 1/15.
Hope it helps <3 :)
Answer:
1/15
Step-by-step explanation:
1 hour = 60 minutes
[tex]\frac{4}{60}=\frac{1}{15}[/tex]
A number is 4 times the sum of its digits. The units digit is two more than the tens digit. Find the number.
Answer:
24
Step-by-step explanation:
Let x = the 10's digit
Let y = the units
then
10x+y = "a number"
:
A number is 4 times the sum of its digits.
10x + y = 4(x + y)
10x + y = 4x + 4y
10x - 4x = 4y - y
6x = 3y
Simply, divide by 3
2x = y
;
The units digit is two more than the tens digit.
y = x + 2
Replace y with 2x
2x = x + 2
2x - x = 2
x = 2
then
y = 4
:
24 is the number
The two digit number is equivalent to 24.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a number is 4 times the sum of its digits. The units digit is two more than the tens digit.
Let the number be {A}. Then, we can write -
A = 10x + y ......... (1)
also
A = 4(x + y) ........... (2)
The units digit is two more than the tens digit, so we can write -
y = x + 2 .............. (3)
So, we can write -
10x + y = 4(x + y)
10x + (x + 2) = 4(x + x + 2)
11x + 2 = 8x + 8
3x = 6
x = 2
So, we can write {y} as -
y = 4
Number will be -
10 x 2 + 4
n = 24
Therefore, the number will be equivalent to 24.
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Keep getting this wrong , please help
The solution for the system of equations is (1, 4).
The graph is given below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
Two equations:
y = 3x + 1
y = -x + 5
The point of intersection.
3x + 1 = -x + 5
3x + x = 5 - 1
4x = 4
x = 1
And,
y = 3x + 1 = 3 + 1 = 4
or
y = -x + 5 = -1 + 5 = 4
Now,
The graph is given below.
Thus,
The solution is (1, 4).
The graph is given below.
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Pls answer ASAP it’s due tomorrow
Answer:
729
Step-by-step explanation:
How do I do this really confused please explain
9514 1404 393
Answer:
(a) 15
Step-by-step explanation:
Each of the marked angles is an exterior angle of the polygon. The sum of exterior angles is always 360°. We can use that fact to write the equation.
4x° +77° +59° +6x° +74° = 360° . . . . . an equation to find x
10x + 210 = 360 . . . . . . . . . . . . . . divide by °, collect terms
x + 21 = 36 . . . . . . . . . . . . . . . divide by 10
x = 15 . . . . . . . . . . . . . . . subtract 21
_____
Comment on the sum of exterior angles
Imagine the figure shrunk smaller and smaller until all of the angle vertices are the same point. You can see that those angles will completely fill the angular space around that central point, so they must have a sum of 360°.
Solve for a.
√7a-10 - √2a+5=0
What is the root? If there is no root, choose none.
-1
1
3
none
Answer:
3
Step-by-step explanation:
√7a-10 - √2a+5=0
√7a-10 = √2a+5
7a-10 = 2a+5
5a = 15
a = 3
Evaluate 8x^2 + 2x + 5, when x =7
Answer:
432
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
8x² + 5x + 5
x = 7
Step 2: Evaluate
Substitute in x: 8(7)² + 5(7) + 5Evaluate exponents: 8(49) + 5(7) + 5Multiply: 392 + 35 + 5Add: 427 + 5Add: 432What is 4 1/3 as a decimal
Answer:
4.33 i think im not to sure
Step-by-step explanation:
math
I need help worth 25 points please help
the answer is on the pictures
sorry if their wrong
x=1/2 (or 1)
y=3/4
Simplify the ratio 16.8 to 11.2. is
Answer:
5.7
Step-by-step explanation:
Im not so sure if this is the correct answer but i hope if helps! <3
