When gold medalist Ren Qian prepared for her dive from the 10 meter platform during the
Olympics, she looked out at her family sitting on the front row (level with the pool) at a 20°
angle of depression. How far away was Ren from her family (ground distance)? Round to the
nearest tenth of a meter.
Write answer like this: ##.# m.
(5 Points)
Enter your answer
Answer:
Ren was 27.5 meters away from her family.
Step-by-step explanation:
Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.
But the angle of depression is measured with respect to the horizontal plane, so;
the vertical angle = [tex]90^{o}[/tex] - 20°
= [tex]70^{o}[/tex]
Applying the appropriate trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]70^{o}[/tex] = [tex]\frac{x}{10}[/tex]
⇒ x = 10 x Tan [tex]70^{o}[/tex]
= 10 x 2.7475
= 27.475
x = 27.5 meters
Ren was 27.5 meters away from her family.
A recipe states that 5 servings of peanuts have 1,250 calories. How many servings is 375 calories of peanuts? *
Answer:
500 calories
Step-by-step explanation:
divide the 1250 calories by the initial five servings and you get 250 then multiply that by the 2 servings they are asking for and you get 500 calories
Determine if the ordered pair (-5, -1) is a
solution of 2x - y =-11.
Answer:(-5,-1) is not an ordered pair
Step-by-step explanation:
the ordered pair (-5,-1) is directly related to the variables (x,y) making -5=x and -1=y
so to figure out if the ordered pair is a solution you just plug in the number into their respective variable.
so the equation then becomes 2 (-5) - (-1) = -11
once you solve for the left part of the equation you are then left with -9 = -11 which we know is false.
I TRIED SO MANY THINGS AND I JUST DO NOT UNDERSTAND WHAT I AM DOING, CAN I PLEASE GET SOME HELP QUICK. ITS SOLVING ALL SOLUTIONS FOR X.
I included a image please someone help I need help with my homework.
[tex]8. \: \: \: \: 2 {x}^{2} + 14 = 22 \\ \\ = > 2 {x}^{2} = 22 - 14 \\ \\ = > 2 {x}^{2} = 8 \\ \\ = > {x}^{2} = \frac{8}{2} \\ \\ = > {x}^{2} = 4 \\ \\ = > x = \underline{+}\sqrt{4} \\ \\ = > \green {\boxed{x = 2\: or \: (-2)}} \\ \\ \\ \\ \\ 9. \: \: \: \: 8 {x}^{2} + 19 = 54 + 3 {x}^{2} \\ \\ = > 8 {x}^{2} - 3 {x}^{2} = 54 - 19 \\ \\ = > 5 {x}^{2} = 35 \\ \\ = > {x}^{2} = \frac{35}{5} \\ \\ = > {x}^{2} = 7 \\ \\ = > x = \underline{ + } \sqrt{7} \\ \\ = > \green{\boxed{ x = \sqrt{7} \: or \: ( - \sqrt{7} )}} [/tex][tex]\\\\\\\\10. \: \: \: 7 {x}^{2} + 12 = 51 - 4 {x}^{2} \\ \\ = > 7 {x}^{2} + 4 {x}^{2} = 51 - 12 \\ \\ = > 11 {x}^{2} = 39 \\ \\ = > {x}^{2} = \frac{39}{11} \\ \\ = > {x} = \underline{+ }\sqrt{ \frac{39}{11} } \\ \\ = > \green{\boxed{ x = \sqrt{ \frac{39}{11} } \: or \: (- \sqrt{ \frac{39}{11} } )}}[/tex]
Which number is equivalent to (1/3)^-4
A.12
B.81
C.1/12
D.1/81
Answer:
B
Step-by-step explanation:
(1/3)^-4
=1/[(1/3)^4]
=1/(1/81)
=81
In *W * X * Y , y = 7.8 cm angle W=26^ and angle X=76^ Find the length of w, to the nearest of a centimeter
Answer: 3.5
Step-by-step explanation:
Factor -4 out of -8d + 20.
The factored expression is
Shawna is saving money to buy a new laptop. She starts her savings with $64. Each week, she adds another $17 to her savings. Graph the relationship that models the amount of money Shawna is saving. If her laptop costs $589, after how many weeks will she be able to afford the laptop?
Answer:
4 weeks
Step-by-step explanation:
To make homemade whipped cream the recipe calls for 1 ½ C of heavy cream, 1 ¼ t of vanilla, and 1 t. of sugar. This amount of whipped cream would be enough to cover one pie. If K makes 6 pies and covers them with whipped cream, how many teaspoons of vanilla will he need?
Answer:
7 1/2 teaspoons of vanilla
Step-by-step explanation:
From the above question,
The whipped cream for 1 pie contains
1 1/4 teaspoon of vanilla
Hence:
1 pie = 1 1/4 teaspoon of vanilla
6 pies = x
Cross Multiply
x = 6 × 1 1/4
x = 6 × 5/4
x = 30/4
x = 7 2/4
x = 7 1/2 teaspoons of vanilla
Hence: If K makes 6 pies and covers them with whipped cream, he would be needing 7 1/2 teaspoons of vanilla
5-3(2x-7)=2(7-3x)
What is true for the equation x=0, x=28, the equation has no solution or the equation has infinitely many solutions
Step-by-step explanation:
Part 1: 4x + 7 = 3(2x - 5)4x+7=3(2x−5)
4x+7=6x-154x+7=6x−15
7=6x-15-4x7=6x−15−4x
7=2x-157=2x−15
7+15=2x7+15=2x
22=2x22=2x
22=2x / 222=2x/2
x=11x=11
Part 2: Sam is not correct because he messed up the second step. He added 2x on both sides to get 7x, instead he should have subtracted.
How do you prove 2 lines are congruent
Answer:If they have the same length or if their parallel but that’s not always the case.
Step-by-step explanation:
Answer:
If the two lines have the same length and width.
Step-by-step explanation:
Correct me if I am wrong but I am pretty confident that it is the answer by going from logic.
Read the problems and and write the word that indicates an equation or inequality and decide whether an equation or inequality is indicated Brett has a $30 online gift certificate. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2. How many books can he afford without spending more than his gift certificate amount? Word/phrase?_________ Equation/Inequality_______
Answer:
Word/phrase : Equation
Equation:4x + 2 = $30
He can afford to buy 7 books without spending more than his gift certificate amount
Step-by-step explanation:
Step 1
We find the equation
Brett has a $30 online gift certificate. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2.
Hence,
$4 × x + $2 = $30
Where x = number of books that he can buy
4x + 2 = $30
Step 2
We solve for x
4x + 2 = 30
4x = 30 - 2
4x = 28
x = 28/4
x = 7
Hence, Brett can buy 7 books
Equation: 4x + 2 = $30
Word/phrase : Equation
He can afford to buy 7 books without spending more than his gift certificate amount
Patty is inviting her friends to a party. She has 30 snack bars 45 juice boxed, and she wants to give the same number of each item to each friend.
( √-5 + 2√20) ( -√-5)
Answer:
you cant do it
Step-by-step explanation:
because i have tryed with my calculator and it keeps on saying MATH ERROR
[AC]:CANCEL
[LEFT ARROW][RIGHT ARROW]: GOTO
YOUR WELCOME AND PLZ VOTE AS BRAINLESS
PS DAD IS IN HOTSPITAL SO I WOULD LIKE YOU TO VOTE ME AS BRAINLESS
THANK YOU AGAIN
This problem cannot be simplified at all.
Simply.
[tex] \frac{ab - a}{a} = [/tex]
[tex] \frac{2x + y}{y} = [/tex]
I mainly forgot how to do it. Do I divide -ab to get it alone? How do I do it?
Answer:
Required Answer:-First go to first equation[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac{ab-a}{a}}[/tex]
Take common[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {{\bcancel {a }}(b-1)}{{\bcancel {a}}}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf b-1)}}}[/tex]
What's the slope of this line
Answer:
slope= 1/2x-3
Step-by-step explanation:
Rise / run + the y intercept
verbal expression for the following numerical expression: ( 4 + 9 ) x 3
Answer:
I don't know if I'm doing this 100% correctly but I would put:
four plus nine's total multiplied by 3
What is the slope of this line?
y+2=−2(x−3)
Answer:
-2
Step-by-step explanation:
The final equation is y= -2x+4, so the slope is -2
Answer:
The slope is -2
Step-by-step explanation:
This equation is in point slope form
(y-y1) = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y+2=−2(x−3)
y- -2=−2(x−3)
The slope is -2 and a point on the line is ( -3,-2)
Does anyone know this ?
Answer:
if im not mistaken AACB
Step-by-step explanation:
Becca made 2 trays of rolls and biscuits. Each tray had 12 rolls and 6 biscuits. How many total rolls and biscuits did Becca make? helppppppppppppppppppppp pleaseeeeeeeeeeeeeeeeeeeeeee
Answer:
Becca made 24 rolls and 12 biscuits
Step-by-step explanation:
Becca will have 24 rolls and 12 biscuits on the tray.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given that,
Becca made 2 trays of rolls and biscuits.
Since in 1 tray there are 12 rolls and 6 biscuits.
Number of rolls in 2 tray = 2(12) = 24 rolls
Number of biscuits in 2 tray = 2(6) = 12 biscuits.
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ2
Ordena los siguientes números decimales en una tabla en la que integres en la zona azul: UM, C, D, U, Punto decimal (.), Décimos, Centésimos, Milésimos, Diezmilésimos.
a) 4567.3456
b) 78.6549
c) 7.0909
Answer:
que?
Step-by-step explanation:
solve for n in the proportion. n/40=27/36. n=?
Answer:
n=30
Step-by-step explanation:
40/36=1.111111
1.111111 times 27=30
Answer:
n=30
Step-by-step explanation:
solve by simplifying both of the equations , the isolating the variable
Reduce the fraction with 9 27/36 divide top and bottom by 9 = 3/4
n/40=3/4 cross multiplication 4n = 120 ( divide both sides by 4 )
n=30
QUICK I REALLY NEED HELP
When playing a game, Noahs last 5 points in the last 3 turns. show how to use integers to determine the change in his score
Answer:
-5
Step-by-step explanation: Yeah i think its -5
4,914÷7=
4
,
914
÷
7
=
1 is 25% of what number
Answer:
4
Step-by-step explanation:
because 25% times 4 makes 100 so it is 4
Find the value of x.
Answer:
x = 5
Step-by-step explanation:
Here, from what we have, the angle and the sides facing it are equal
Since we have pi oh both sides
Thus;
6x + 6 = 9x-9
9x-6x = 9 + 6
3x = 15
x = 15/3
x = 5
Brinlyn increased the amount of water she drank per day from 32 oz to 40 oz. By what percentage did Brinlyn increase the amount of water she drank each
day?
Answer:
20%
Step-by-step explanation:
Question #1 Find the unit rate if the graph below
A
150
135
120
105
90
75
Toys
60
45
30
15
3 6 9 12 15 18 21 24 27 30
Cartons
Answer:
The unit rate is 5 toy per carton on the graph
If you ate 1/5 of the desert served at
dinner, what percent of the food did you
eat?
Answer:
20%
Step-by-step explanation:
so to become a percentage, you should multiply by 100% (which is basically 100/100 but don't multiply the bottom instead you write a percent sign)
So 1/5*100/100 without multiplying the bottom is:
100/5%
100 divided by 5 is 20. There you go! And you can use a calculator if that is easier for you. All you do is 1/5 which is .20 and your answer is 20%! Hope this helps!
What is the value of the expression below when y = 8?
2y + 7
Answer:
Submit Answer
Answer:
23
Step-by-step explanation:
we will put 8 instead of "y" in the equation
2 x 8 + 7 = 23