Answers
Answer:
14^2+48^2=2500 sqrt2500= 50 c=50
Step-by-step explanation:
The length of c using the Pythagorean theorem is 50 units.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is ABC which is right angle triangle
AB=c
BC=14 and AC=48
We have to find the value of c
By Pythagoras theorem, in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
AB²=AC²+BC²
c²=48²+14²
c²=2304+196
c²=2500
Take square root on both sides
c=√2500
c=50
Hence, the length of c using the Pythagorean theorem is 50 units.
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Related Questions
Is 4 to 7 the same as 7 to 4? Explain why or
why not?
Answers
Step-by-step explanation:
4 times of 7 (7 + 7 + 7 + 7 = 28) is the same as 7 times of 4 (4 + 4 + 4 + 4 + 4 + 4 + 4 = 28)
4^7 (4 x 4 x 4 x 4 x 4 x 4 x 4 = 16384) is not the same as 7^4 (7 x 7 x 7 x 7 = 2401)
Answer:
Yes. The difference between them are the same. Both have the same number of units between them,
Step-by-step explanation:
Cardi B is buying a condo built within
a skyscraper. She learned that each floor is 13 feet tall.
Write an expression to represent the height of the skyscraper if it has f
floors, where f is the number of floors.
How tall, in feet, would her condo be in the skyscraper if she was on the 26th floor?
PLEASE HELP... 25 points
Answers
Answer:
13f is equation
which is floors times height
Step-by-step explanation:
26*13=338
338 feet tall
Brainliest appreciated!
Answer:
(H)=13f and the height is 338ft
Step-by-step explanation:
height of skyscraper=h
f=floors
height per floor is 13ft...
(H)=13f
(H)=13*f, if f is 26, then to find height multiply 13 by 26
doing this you get 13*26=338ft
What is the ratio of green stars to red stars? 4 green stars and 6 red stars
Answers
Answer:
2:3
Step-by-step explanation:
we have 4 green stars
and six red stars
as a ratio, it's
4:6
simplified
2:3
penny reads 10 pages in 1/2
hour. What is the unit rate for pages per hour? For hours per page?
Answers
Answer:
she would read 20 pages in 1 whole hour
It rained all day on Mother's Day and the temperature dropped fourteen and seven tenth degrees. The next day the rain stopped and the temperature rose ten and nine tenths degrees. If the temperature at the beginning of Mother's Day was sixty five and eight tenths degrees, what was the temperature at the end of the day after Mother's Day?
PLEASE ANSWER< I WILL GIVE YOU BRAINLIEST
Answers
Answer:
62 Degrees
Step-by-step explanation:
65 8/10 - 14 7/10 = 51 1/10
51 1/10 + 10 9/10 = 62
136 = -8(1 + 6v)
Help
Answers
136 = -8 + -48v
-8 - 48v = 136
Add 8 to both sides
-48v = 144
Divide both sides by -48
v = -3
Answer:
-3
Step-by-step explanation:
136 = -8(1+6v)
136 = -8 - 48v
136 + 8 = -48v
144 = -48v
144/ -48 = v
-3 = v
y is directly proportional to x2
If y = 12 when X = 2 find
X when y = 300
Answers
What system of equations can be used to ring s, the cost in dollars of each standard photo and w, the cost in dollars of each wallet photo ?
Answers
Answer:
A
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation x^2-19x+9=0 which number would have to be added to "complete the square"?
Answers
Answer:
90.25Step-by-step explanation:
Given the quadratic equation x^2-19x+9=0 re arranging we have;
x^2-19x+9 - 9=0 -9
x^2-19x = - 9
In order to complete the square we would add a number to both sides and the number will be the square of the half of coefficient of x in the expression as shown.
Coefficient of x = -19
half of coefficient of x = -19/2
square of the half of coefficient of x = (-19/2)²
square of the half of coefficient of x = 361/4
square of the half of coefficient of x = 90.25
Hence the number that would have to be added to "complete the square" is 90.25
As of July 1, 2014, the population of India was about 1,267,000,000. How can you write this number in scientific notation?
1. Move the decimal point to the right of the first digit. What is the first factor?
Answers
Answer:
1) 1.267x10^9
2) 2
Step-by-step explanation:
Which of the following statements best describes the location of -(-6) on a number liner
A. It is 6 units to the left of 0.
B. It is 6 units to the night 6.
C. It is 6 units to the right of 0.
D. It is 6 units to the left of 6.
Answers
C. It is 6 units to the right of 0.
Explanation:
-(-6) can be rewritten as 6 because two negatives next two each other make a positive. 6 is 6 units to the right of 0, so therefore, -(-6) is also 6 units to the right of 0.
I hope this helps!
Sumiko and Jandella ran the bleachers together today at Poly High School. Sumiko runs these same bleachers every 6 days and Jandella runs them every 16 days. The soonest they will see each other again is in days.
Answers
Answer:
48 days
Step-by-step explanation:
Given that :
Sumiko runs bleachers every 6 days
Jandella runs bleachera every 16 days
The soonest they will see each other again is in days can be obtained by getting the lowest common multiple of 6 and 16
Multiples of
6 : 6, 12, 18, 24, 30, 36, 42, 48, 54,...
16 : 16, 32, 48, 64,...
Lowest common multiple of 6 and 16 = 48
Hence, the soonest they'll see each other again is in 48 days
1) Which of the following is NOT a property of reflection?
A)distance between points is preserved (stays the same)
B)angle measure is preserved (stays the same)
C)pre-image and image are congruent
D)orientation is preserved (stays the same)
Answers
Answer:
orientation is preserved (stays the same)
Step-by-step explanation:
Please help look at the picture
Answers
Answer:
The correct answer would be D
Plzzzzzz helpppppp meeeee
Answers
Trisha uses 3 cups of sugar for every 4 cups of flour to make a batch of cookies. Which equation could be used to solve x, the number of cups of flour needed for 9 cups of sugar.
Answers
Answer: The number of cups of flour needed for 9 cups of sugar = 12.
Step-by-step explanation:
Equation of direct proportion between two quantities x and y :
[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
Let x= the number of cups of flour needed for 9 cups of sugar.
Put [tex]x_1=4,\ y_1=3,\ y_2=9, x_2=x[/tex]
[tex]\dfrac{4}{3}=\dfrac{x}{9}\\\\\Rightarrow\ x=\dfrac{9\times4}{3}\\\\\Rightarrow\ x=12[/tex]
Hence, the number of cups of flour needed for 9 cups of sugar = 12.
Which Figure is a rotation of the Blue Figure?
A
B
C
D
Answers
Answer:
a
Step-by-step explanation:
the green figure is the same as the blue figure.
Is 2(6-3x)+x equivalent to 2(3x)+x?
Answers
2(6-3x) = 12-6x
2(3x)+x = 7x
15
The warmest temperature last winter was 17° F. The very next day, the temperature dropped 22° F. What was the actual temperature at the
end of the second night?
°F
Answers
Answer:
-5 degrees fahrenheit
How many solutions does r > 5 have?
Answers
Answer: It can have infinite
Step-by-step explanation:
because numbers never finish
There are 144 students in the school this year. One-quarter of the students have blue
eyes. One-sixth of the students have green/hazel eyes. Seven-twelfths of the students
have brown eyes. How many students have each of the three colours? SHOW ALL
OF YOUR WORK!
Answers
Answer:
Blue eyes = 36
green eyes= 24
brown eyes = 84
Step-by-step explanation:
144 divided by 4 is 36
144 divided by 6 is 24
144 divided by 12 is 12 and then multiplied by 7 is 84
hope this helps
4. If you are given that plq and p || r,
what can you conclude about lines q and r?
State the theorem that justifies that conclusion.
Answers
The number of tons of wheat the government can afford to buy if it spends total of $100 million, wheat costs $300 per ton, and it must buy 5 fighter planes at $15 million each.
Answers
Total amount, T = $100 million.
Cost of wheat per ton, C = $300 .
Price per fighter plane, c = $15 million.
Now,
Price of 5 fighter planes, P = $( 15 × 5 ) = $75 million.
Amount left = $( 100 - 75 ) = $25 million.
So,
Number of tons of wheat government can buy is :
[tex]n=\dfrac{25\times 1000000}{300}\\\\n = 83333.33\ tons[/tex]
Therefore, number of tons of wheat the government can afford is 83333.33 tons.
Hence, this is the required solution.
What kind of solution does 3x+5=-2 have?
Answers
Answer:
[tex]x = - \frac{7}{3} [/tex]
step by step:
3x+5=-2
move constant to the right-hand side and change it's sign
3x=-2-5
Calculate the difference
3x=-7
Divided both sides of the equation by 3
Michelle drew a purple line that was 1/2 of an inch long then she drew a green line that was 1/6 of an inch long how much longer what is the purple line than the green line
Answers
Answer:
[tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given length of purple line = [tex]\frac{1}{2}\ inch[/tex]
Given length of green line = [tex]\frac{1}{6}\ inch[/tex]
To find:
How much longer is the purple line than the green line ?
Solution:
To find the required length, we have to subtract the length of green line from the length of purple line.
i.e.
The required answer =
[tex]\frac{1}{2}-\frac{1}{6}\\\text{Taking LCM of 2 and 6, we get 6}\\\Rightarrow \dfrac{3-1}{6}\\\Rightarrow \dfrac{2}{6}\\\Rightarrow \bold{\dfrac{1}{3}}[/tex]
Therefore, the answer is:
Purple line is [tex]\frac{1}{3}[/tex] of an inch longer than the green line.
NEED HELP ASAP. WILL GIVE BRAINLIEST
Let w represent the sum of vectors u and v. Find the magnitude of w and the angle between w and u given the following information: u = 14 |v1 = 16 The angle between u and w is 120°.
The magnitude of w is approximately?
The angle between w and u is approximately?
Answers
Answer:
The magnitude of w is approximately 26.
The angle between w and u is approximately 32.2°.
Step-by-step explanation:
The magnitude of w is approximately 15.1, and the angle between w and u is approximately 62.67 degrees and this can be determined by using the given data.
Given :
Let w represent the sum of vectors u and v. |u| = 14 |v| = 16 The angle between u and w is 120°.a) The magnitude of 'w' is calculated using the below formula:
[tex]w = \sqrt{u^2+v^2+2uvcos\theta }[/tex]
Now, substitute the values of u, v, and [tex]\theta[/tex] in the above formula.
[tex]w = \sqrt{14^2+16^2+2\times14\times16\;cos120 }[/tex]
Simplify the above expression.
[tex]w =15.1[/tex]
b) The angle between w and u is calculated using the below formula:
[tex]tan\beta =\dfrac{vsin120}{u+vcos120}[/tex]
Now, substitute the above values of u and v in the above expression.
[tex]tan\beta =\dfrac{14\times sin120}{14+16\times cos120}[/tex]
Simplify the above expression in order to determine the value of [tex]\beta[/tex].
[tex]\beta = 62.67^\circ[/tex]
The magnitude of w is approximately 15.1, and the angle between w and u is approximately 62.67 degrees.
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PLS HELP
Determine the intercepts of the line. y=11x+6 (x and y intercept)
Answers
Answer:
Step-by-step explanation:
the xintercept is (-6/11,0)
y intercept is (0,6)
Insert brackets to make this calculation correct.
4 - 1 x 2 = 6
Answers
Answer:
(4-1)x2=6
Step-by-step explanation:
(4-1)x2=6
(3)X2=6
6=6
Answer:
[4 - 1] x 2 = 6
Step-by-step explanation:
Test out each possible solution.
Problem: 4 - 1 x 2 = 6
#1: [4 - 1] x 2 = 6
4 - 1 is 3.
3 x 2 is 6.
6 = 6 ✅
#2: 4 [-1 x 2] = 6
-1 x 2 is -2.
-2 [tex]\neq[/tex] 6 ❎
Therefore, #1 is correct.
Jogging burns 375 calories in 45 minutes. Determine how many calories burned per hour?
Answers
Set them as proportions
375/46=x/60
Multiply 60 to each side to eliminate fraction
Then you’ll get x=500
Does the table show a proportional relationship, if so , what is the value of y when x is 10
Answers
Yes, the given table shows a proportional relation with constant of proportionality 1/3.
What are proportional relation?Two variables x and y are in proportional relation if the relation between then is in the form y = k x, where k is the constant of proportionality.
Or we can say for all pairs ( x, y ) , y/x = k , k is constant then the table containing (x, y) values shows a proportional relationship.
From given table
When x= 5 , y =[tex]1\frac{2}{3}[/tex] =5/3
Then, y/x = (5/3)/5 = 1/3 =k
When x =6 , y =2
Then, y/x = 2/6 = 1/3 =k
When x = 7 , y = [tex]2\frac{1}{3}[/tex] = 7/3
Then, y/x = (7/3) /7 = 1/3 =k
When x=8 , y =[tex]2\frac{2}{3}[/tex] = 8/3
Then , y/x = (8/3) / 8 = 1/3 =k
Thus for each pair (x, y) given in the table the ratio y/x is same , this ratio is say k = 1/3
Therefore, for the given table y/ x = k or y =k x with k = 1/3 , and the table shows a proportional relation with constant of proportionality 1/3.
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