Answer:
1.3
Friend is wrong
Step-by-step explanation:
Given:
friend's claim: height of his building is more than 1.50 times the height of yours
line of sight to the top edge of the other building makes an angle of 21° above the horizontal
line of sight to the base of the other building makes an angle of 52° below the horizontal
Solution:
Let A be the height of your building is A
Let B+A his building is B higher than yours.
Let the distance between the buildings is x.
then
tan 52 = A/x
tan 21 = B/x
A/B = tan 52 / tan 21
= 1.27994 / 0.38386
A/B = 3.33
(A + B) / A = 1.5 0
A/A + B/A = 1.50
1 + B/A = 1.50
B/A is basically (B/x) / (A/x)
So
1+ 3.33 / 3.33
= 4.33/3.33
= 1.3
Since 1.3 is not equal to 1.5
Hence the friend's claim is wrong.
The height of the taller building can be given in relation to the height of
the other building using trigonometric ratios.
Correct response:
The claim is wrongReasons for the above responseThe given parameters are;
Angle of elevation to the top of the other building = 21°
Angle of depression to the base of the other building = 52°
The claim of the friend = The height of his building > 1.5 × The height of the other building
Required:
To state whether the claim is right or wrong.
Solution:
Let h represent the height of the smaller building, let l represent the
distance between the two buildings, and let d represent the height by
which one building is taller than the other, we have;
[tex]tan\left(21^{\circ} \right) = \mathbf{ \dfrac{d}{l} }[/tex]l·tan(21°) = d
[tex]tan \left(52^{\circ} \right) = \mathbf{\dfrac{h}{l} }[/tex]l·tan(52°) = h
Height of the taller building, H = h + d = l·tan(52°) + l·tan(21°)
Height of the other building = h = l·tan(52°)
Therefore;
[tex]\dfrac{H}{h} = \mathbf{ \dfrac{l \cdot tan \left(52^{\circ} \right) + l \cdot tan \left(21^{\circ} \right)}{l \cdot tan \left(52 ^{\circ} \right)}} = 1 + \dfrac{tan \left(21^{\circ} \right)}{tan \left( 52^{\circ} \right)} \approx 1.3[/tex]H ≈ 1.3·h
Which gives that the taller building, H, is approximately 1.3 times the other building.
Therefore;
The claim is incorrectLearn more about trigonometric ratios here:
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If k is a positive integer and n = k(k + 7), is n divisible by 6 ? (1) k is odd. (2) When k is divided by 3, the remainder is 2.
Answer:
1.) Yes
2.) Yes
Step-by-step explanation:
Given that
n = k(k + 7)
If k is a positive integer and n = k(k + 7), is n divisible by 6 ?
(1) k is odd. Yes.
Let assume that k = 3
Then, n = 3(3 + 7)
n = 3 × 10
n = 30.
30 is divisible by 6.
(2) When k is divided by 3, the remainder is 2. That is,
Let k = 5
Then,
5/3 = 1 remainder 2
Substitute k into the equation
n = k(k + 7)
n = 5(5 + 7)
n = 5 × 12
n = 60
And 60 is divisible by 6.
Therefore, the answer to both questions is Yes.
Which list shows the temperatures in order from coldest to warmest in degrees Fahrenheit?
A) -10°F 8°F -5°F 0°F
B) -5°F -10°F 0°F 8 °F
C) -10°F -5°F 0°F 8 °F
D) 0°F -5°F 8 °F -10°F
Answer:
C.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
-10^F, -5^f, 0^f, 8^F
Solve for x
41 – 3 = 7
Enter your answer in the box.
X =
Answer: X= 2.5
Step-by-step explanation:
A cell phone beeps every 4 minutes. Another cell phone beeps every 5 minutes. What are the first three times that the cell phones beep at the same time?
Answer:
20, 40, 60
Step-by-step explanation:
We can find the LCM by making a list which is my favorite way.
Cell phone number 1: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60
Cell phone number 2: 5, 10, 15, 20, 25, 30, 35 40, 45, 50, 55, 60
Answer:
The first three times that the cell phones beep at the same time are the 20th, 40th and 60th minutes.
Step-by-step explanation:
Let the first cell phone be A, that is, A beeps every 4 minutes
and let the other cell phone be B, that is, B beeps every 5 minutes.
Cell phone A will be at the 4th, 8th, 12th, 16th and 20th minutes while cell phone B will beep at the 5th, 10th, 15th and 20th minutes. Hence, the first time the cell phones will beep together is the 20th minute.
Cell phone A will then beep at the 24th, 28th, 32nd, 36th and 40th minutes while cell phone B will beep at the 25th, 30th, 35th and 40th minutes. The second time the cell phones will beep together is the 40th minute.
Cell phone A will beep at the 44th, 48th, 52nd, 56th and 60th minutes while cell phone B will beep at the 45th, 50th, 55th and 60th minutes. The third time the cell phones will beep together is the 60th minute.
Hence, the first three times that the cell phones beep at the same time are the 20th, 40th and 60th minutes.
HELP ASAP WILL gIVE BRAINLIsT
Answer:
(4,0)
Step-by-step explanation:
it went to the right 3, so needs to go to the right 9 more.
It went down 2, so needs to go down 6 more.
-5+9=4
6-6=0
A climber is suspended 54 feet below a cliff by a rope. If
she were to climb 18 feet up the rope, how many feet below
the cliff would she be then?
There are 24 men, 60 women, and 44 children on a bus. Write the ratio men:women:children in simplest form?
Answer:
6:15:11
Step-by-step explanation:
We first start off with 24:60:44. We then know that the greatest common factor is 4, so we divide the ratio by 4 to get 6:15:11.
If you would like more help on math or other subjects for FREE, check out growthinyouth.org.
Answer:
6:15:11
Step-by-step explanation:
men:women:children = 24:60:4424, 60, and 44 can all we divided by 4. 24 ÷ 4 = 660 ÷ 4 = 1544 ÷ 4 = 11Put them together: 6:15:11What type of number is 3908i?
A)real
B)imaginary
C)complex
Answer:
B
Step-by-step explanation:
Imaginary number contain the letter i in order for them to be recognized
what is x to the power of two =36 over 121
Answer:
x = ± [tex]\frac{6}{11}[/tex]
Step-by-step explanation:
Given
x² = [tex]\frac{36}{121}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{36}{121} }[/tex] = ± [tex]\frac{\sqrt{36} }{\sqrt{121} }[/tex] = ± [tex]\frac{6}{11}[/tex]
BRAINLIEST FOR WHOMEVER ANSWERS CORRECTLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! the manager of a pizza restaurant finds that its daily food cost is $60 plus $3 for pizza write an equation for the food cost C in terms of numbers of pizza sold p. then solve the equation to find the daily food cost on a day when 113 pizzas were sold. write your answer as an ordered pair
Answer:
C = 3x + 60
C = 3(113) + 60
C = 339 + 60
C = 399
(113, 399)
In 2011 Clayton Kershaw earned $500,000 pitching for the LA Dodgers. In 2019, his salary was $31,000,000. Answer the three parts below. Clearly show all work and reasoning.
A) Kershaw pitched in 32 games in 2011. What was his salary per game in 2011?
B) He pitched in 28 games in 2019. What was his salary per game in 2019? Round to the nearest cent.
C) Did he earn more per game in 2019 than he did for the entire 2011 season?
Answer:
A. $15,625 per game
B. $1,107,142.86 per game
C. he earned $607,142.86 more per game in 2019 than he did for the entire 2011 season
Step-by-step explanation:
His salary in 2011 = $500,000
His salary in 2019 = $31,000,000
A) Kershaw pitched in 32 games in 2011. What was his salary per game in 2011?
Kershaw's salary per game = Total salary / Total number of games
= $500,000 / 32 games
= $15,625 per game
B) He pitched in 28 games in 2019. What was his salary per game in 2019? Round to the nearest cent.
Kershaw's salary per game = Total salary / Total number of games
= $31,000,000 / 28 games
= $1,107,142.8571428
To the nearest cents
= $1,107,142.86 per game
C) Did he earn more per game in 2019 than he did for the entire 2011 season?
$1,107,142.86 per game - $500,000
= $607,142.86
Yes, he earned $607,142.86 more per game in 2019 than he did for the entire 2011 season
Answer:
A. $15,625 - game
B. $1,107,142.86 - game
C. Kersh earned $607,142.86 more per game in 2019 than he did for the entire 2011 season ($500k)
Evaluate this expression: 3x + 9x -5
Answer:
12x - 5
Step-by-step explanation:
3x + 9x - 5 can be easily simplified by combining like terms.
3x and 9x are like terms because they both contain the same variable and the same exponent (understood to be 1).
Therefore, because an addition sign separates the two terms, it is expected of you to add the two together. To do this, just add the terms together as you would any other terms.
3x + 9x = 12x
Because the 5 is the only constant in the equation, it cannot be combined with anything else.
The simplified expression is 12x - 5.
how do you dilate a point on a graph?
Answer:
If the point that you are dilating is directly above the point of dilation and you are dilating by 3, you take the distance from the point of dilation and the point you are dilating and you multiply it by 3. That is where you put your new point.
Step-by-step explanation:
i found this on google
What is a term used to describe two-dimensional figures with all sides and all angles congruent?
Answer:
congruent figures
Step-by-step explanation:
(- 5x^-2y) + (6x^7y^-1)+7x^5
Answer:
[tex]\frac{-5y+6x^7+7x^5}{x^2y^1}[/tex]
Step-by-step explanation:
Step 1: Write out expression
-5x⁻²y + 6x⁷y⁻¹ + 7x⁵
Step 2: Move negative exponents to denominator
*x⁻² and y⁻¹ have to be moved. Everything else stays.*
[tex]\frac{-5y+6x^7+7x^5}{x^2y^1}[/tex]
Tell whether the equation is true or false. *
3
60 = 20
O True
O False
Mr. Adams drove his delivery truck 151.2 miles during 2.4 days. He drove the same number of miles each day. How many miles did he drive in one day? *
Daniel went to Target and bought a basketball for $ 21.85 and a shirt for $12.68. Daniel received $ 0.47 in change. How much did Daniel give the cashier?
Answer:
$35
Step-by-step explanation:
To do this you would just add the 2 prices together and you would get $34.53 and you would add 47 cents to that and you would get that Daniel gave $35 to the cashier.
Which statements are true about the table of values? Check all that apply.
xy = 3
When x = 3, y = 1.
x varies directly with y.
k =
The graph of this table would not be linear.
Answer:
A B and E
Step-by-step explanation:
The statement that is true about the equation xy = 3 is:
When x = 3, y = 1.
Option B is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 8 is an equation.
We have,
xy = 3
When x = 3, y = 1
Substitute x = 3.
3 x y = 3
y = 1
This is true.
Now,
x varies directly with y.
This means,
x ∝ y
But xy = 3
x = 3/y
This is not possible.
Now,
The graph of this table would not be linear.
xy = 3
x = 1, y = 3
x = 2, y = 3/2 = 1.5
x = 3. y = 1
x = 4, y = 3/4 = 0.75
The rate of change is not the same.
So,
xy = 3 is not linear.
Thus,
When x = 3, y = 1 statement is true.
Learn more about equations here:
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what is the image of the point (-3,5) after a rotation of 90 counterclockwise about the origin
Answer:
(5, 3 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (y, - x ) , thus
(- 3, 5 ) → (5, 3 )
Answer:
(-5,-3)
Step-by-step explanation:
What would be the answer for -2 -12n=-303
Answer:
25.08
Step-by-step explanation:
-12n - 2 = -303
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, n. Do the opposite of PEMDAS.
First, add 2 to both sides:
-12n - 2 (+2) = -303 (+2)
-12n = -303 + 2
-12n = -301
Next, divide -12 from both sides:
(-12n)/-12 = (-301)/-12
n = -301/-12 = 301/12
n = 25.08 (rounded).
help plzzzzzzzzzzzz not i am lost. 100 points or more if I can. Show how to solve the Quadratic Equation y=6x^2 +2x - 20 or a different equation you choose by ALL OF THE FOLLOWING METHODS: Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator
Answer and Step-by-step explanation:
y=6x² +2x - 20
let a=6
let b= 2
let c = -20
Using Quadratic Formula by hand Using Factoring and the Zero Property Product Using Completing the Square Using Graphing on the Calculator
using Quadratic Formula
-b ± √( b² - 4ac)
2a
-2 ± √( 2² - 4*6(-20))
2*6
-2 ± √( 2² - 4*6(-20))
2*6
-2 ± √(484)
2*6
20/12 = 5/3
-24/12 = -2
the answers are 5/3 ; -2
use by Factoring
0=6x² +2x - 20
0 =2( 3x² +x - 10)
=2 ( 3x-5) ( x+2)
by using the zero product property
3x-5 = 0
x+2 = 0
3x=5
x =-2
x = 5/3
x = -2
by using completing the square
y=6x² +2x - 20 Add 20
20=6x² +2x Divide by 6
20/6 = x² +2/6x
10/3 = x^2 +1/3x Take the coefficient of x and divide by 2
1/3 /2 = 1/6 Square it
(1/6) ² = 1/36 Add it to both side s
10/3 + 1/36 = x² +1/3x+ 1/36
120/36 + 1/36 = ( x+ 1/6)²
121/ 36= ( x+ 1/6)² Take the square root of both side
√(121/ 36) = √( ( x+ 1/6)²)
±11/6 = x+1/6 Subtract 1/6 from both side
-1/6 ±11/6 = x
-1/6 - 11/6 = x
-1/6 + 11/6 = x
-12/6 =x
10/6 =x
x = -2
x = 5/3
by using a graphing computer
Suppose we want to choose 2 objects without replacement from the 4 colors red, blue, green, purple. How many ways can this be done, if the order of the choices matter?
Answer:
Number of ways = 6
Step-by-step explanation:
Given:
Total number of choices = 4
Taken object choices = 2
Find:
Number of ways
Computation:
Number of ways = [4 × 3] / 2!
Number of ways = [4 × 3] / [2 × 1]
Number of ways = [12] / [2]
Number of ways = 6
Answer:
These are the awnsers to it!
1: 12
2. 6
if there is a strong correlation between two variables the correlation coefficient will be close to -1 or 1 true or false
=================================================
Explanation:
r = correlation coefficient
If r is close to -1, then the points are close to (or some fall on) the same straight line that has a negative slope. We consider this be a strong negative linear correlation.
If r is close to +1 or just 1, then the points are close to the same straight line that has a positive slope. These points would be considered to have strong positive linear correlation.
By "same straight line", I mean the regression line or line of best fit.
find two numbers with a sum of 129 and a difference (equation only)
Answer:
x + y = 129
with possible solution
128 and 1
Step-by-step explanation:
128 + 1 = 129
There are infinitely many solutions if you don't specify the difference.
Graph h(x) = 4x + 4 + 3.
Help me plz
Answer:
h(x)=4x+7
Step-by-step explanation:
4+3 can be added together if they do not have a variable. h(x)=4x+7. Plug in different x coordinates and solve for h(x). Now graph those points.
(-2,1)
(0,7)
(-1.75,0)
Solve for y:
2y-2=4y+2
Answer:
2y-4y=2+2.
-2y=4.
y= -2.
Answer:
y=−2
Step-by-step explanation:
Step 1: Subtract 4y from both sides.
−2y−2=2
Step 2: Add 2 to both sides.
−2y=4
Step 3: Divide both sides by -2
y=−2
Nearest to 10, 100,1000 ,10000
Answer:
21,875: 21,880, 21900, 22,000, 20,000
85,000: 85,000, 85,000, 85,000, 90,000
36,243: 36,240, 36,200, 36,000, 40,000
54,999: 55,000, 55,000, 55,000, 50,000
Answer:
a
Step-by-step explanation:
Write an equation for the following scenario. The sum of 2 times a number and 8 is equal to 3 less than that number.
Answer: 2n + 8 = n -3
Step-by-step explanation:
In this scenario we will represent that number by the variable n.
So two times the number will be 2n plus 8 is 2n +8 and it has to equal 3 less that number so it will be n-3.
Line AB and line CD intersect at point E, with point E between A and B and between C and D. Which rays are opposite rays?
Answer:
EA, EB, EC and ED are opposites rays.
Step-by-step explanation:
Given that,
Line AB and line CD intersect at point E.
According to figure,
We need to find opposite rays
Using diagram
We draw a first line AB and second line CD which is intersect of AB at point E.
Now, EA and EB is called opposite ray of first line AB.
Similarly,
EC and ED is called opposite ray of first line CD.
Hence, EA, EB, EC and ED are opposites rays.