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.
¿Cuáles son los términos de la expresión
algebraica 5p + 4?
A: 4
B: 5p
C: +
Answer:
A, B
Step-by-step explanation:
Los términos están separados por +, -, / o x.
Really stupid question, but how do you add a comment lol. There’s no enter button or anything (I’m on an iPad) if that helps.
Answer:
You just do
Step-by-step explanation:
Answer:
just click the thing that says "Ask blah blah about this question..."
Step-by-step explanation:
Monday's high temperature in Denver, Colorado was 25°F. The low temperature was
-4° F. What was the difference between the high and low temperatures?
Answer:
The difference between the high and low temperatures is 29°F
Step-by-step explanation:
Subtraction
The high temperature in Denver, Colorado was 25°F on Monday.
The low temperature was -4°F in the same place.
We are required to find the difference between the high and low temperatures.
We need to subtract 25 and -4:
Difference = 25°F - (-4°F)
Note we change the sign of the subtraction multiplying (-1) by (-1);
Difference = 25°F + 4°F
Difference = 29°F
The difference between the high and low temperatures is 29°F
Sam scored 10 points. This was double the number of points he scored in the first game. Which equation can be used to find, x, the number of points Sam scored in the first game?
a.x−2=10
b.2x = 10
c.x + 2 = 10
d.x/2=10
Answer:
b is the answer of this puestion
Hannah filled her car at the gas station. She
bought 48.3 L, and her bill was $37.43.
What was the price of the gasoline, in cents
per litre ?
Answer:
43.43/43
Step-by-step explanation:
expand and simplify
2(x+7)+ 3(x+1)
Answer:
2(x+7)+3(x+1)
2x+14+3x+3
5x+17
Answer:
Step-by-step explanation
2(x+7)+ 3(x+1)
2x+14+3x+3
5x+17 is the answer
For a craft each student will need five rubber bands.There.There are eight students.Rubber bands come in bags of nine. How many will be needed?How many rubber bands will be left over?
Answer:
40 rubber bands are needed
5 rubber bands will be left from 5 bags of of rubber band
Step-by-step explanation:
Each student will need five rubber bands.
There are eight students
Total rubber bands needed = rubber bands per student × number of students
= 5 × 8
= 40
Total rubber bands needed = 40
Rubber bands come in bags of nine.
Number of bags needed = Total rubber bands needed / number of rubber bands in each bag
= 40 / 9
= 4.44 bags
It is impossible to get decimal number of rubber bands bag, so, the next whole number after 4 is 5
5 rubber bands bags will be bought which = 5 × 9
= 45 rubber bands
Only 40 rubber bands are needed
Left over rubber bands = 45 - 40
= 5 rubber bands
Oak Street intersects with Mill Avenue. The traffic light on Oak Street follows a cycle. It is green for 35 seconds, yellow for 5 seconds, and red for 20 seconds. As you travel along Oak and approach the intersection, what is the probability that the first color you see is red? Write the probability as a simplified fraction. Incorrect feedback has been removed from the screen. Fill in the blank text field 1
Answer:
1/3
Step-by-step explanation:
20/60 simplified is 1/3
20 for the red light
60 all of them added
i need help asap......
solve for f. -11f = 7(1 - 2f) + 5
Answer:
F = 4
Step-by-step explanation:
−11f=7−14f+5
−11f=−14f+12
−11f+14f=12
3f=12
f=
3
12
f=4
Answer:
f=
23/14
=1.643
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-11-(7*(1-2*f)+5)=0
-11 - (7 • (1 - 2f) + 5) = 0
14f - 23 = 0
3.1 Solve : 14f-23 = 0
Add 23 to both sides of the equation :
14f = 23
Divide both sides of the equation by 14:
f = 23/14 = 1.643
Find the area of the triangle.
Answer:
A
Step-by-step explanation:
Help ASAP I need it quick please and thank you!!!!!
ANSWER PLSSS THANK YOUUUUU
Answer:
As a fraction: 81/100 (cannot be simplified) Decimal: 0.81 and a percent 81%
Step-by-step explanation:
Count the blocks and convert (you can also use an array.) Hope this helps you!
Answer:
Fraction: 81/100
Decimal: 0.81
Percent: 81%
Step-by-step explanation:
The box is a 10x10 so it has 100 squares inside.
There are 81 squares shaded so the fraction would be 81/100
To get the decimal just divide 81 by one hundred so the decimal is .81
As a percent is would be 81%
Hope this helps ya!!
A loon is a bird that dives in the ocean for its food. It can dive to a depth of 12ft in 8 seconds. How many feet does it dive per second? (Write your answer as a decimal) *
Answer: 1.5ft/seconds
Step-by-step explanation:
From the question, we are informed that a loon is a bird that dives in the ocean for its food and that it can dive to a depth of 12ft in 8 seconds.
The amount of feet it dive per second will be gotten by dividing 12ft by 8 seconds. This will be:
= 12ft / 8sec
= 1.5ft/seconds
find the slope
help with this please it’s due soon :)
HELPPPPPPPPPPPP
i give brainliest!
Answer:
C
Step-by-step explanation:
The scuba diver started at -55 feet as it says below the surface then went up 20 feet so the equation would be -55+20=-35
hi can somebody answer this rlly quickly
Answer:
11
Step-by-step explanation:
72/9=8 so 99/9=11
10 divided by 2 would be 5 because it pretty much splits it in equal parts like this if you do each friend get 1 cup of water there is 9 liters so what you do it give each 3 liters of water and that's 9 divided by 3 so you split 3 parts into 9
Answer:
First of how many friends are there and if each freind get one why are you giving them three and did you count yourself as well
Step-by-step explanation:
Please help will give brainliest if its correct
Answer:
radius squared
Step-by-step explanation:
Can Anybody Help With Geometry?
Answer:
SAS
Step-by-step explanation:
Side Angle Side: It shows only one angle and shows that 2 sides are congruent.
Answer:
It is SAS. Please mark brainliest.
Step-by-step explanation:
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)
Answer:
orientation is preserved (stays the same)
Step-by-step explanation:
Which equation represents a line which is parallel to the line 3x + 8y = - 40 ?
Step-by-step explanation:
3x + 8y = -40
8y = -40 - 3x
y = -5 - 3/8x
y = -3/8x - 5
Equation that represents a line which is parallel to y = -3/8x - 5 can be any equation as long as it's y = -3/8x + c, as in c can be any value as long as the other parts of the equation is not changed
Plz help I will mark branindiest?
Answer:
the answer is on google
PLS HELP ME ASAP!!!!
In 2 hours, a canoeist can go 40 km downstream but only 6 km upstream. Find the rate of the current and the canoeist.
Answer:
20 Km per hour.
What are three inequalities equal to 15x+20y=150?
Answer:
1. 3x+4y=30
2. 30x+40y=300
3. x+4/3y=10
Step-by-step explanation:
Solve the equation 186+10x=25.5x to find how many diving lessons
__ lesson(s)
Answer: x=12
Steps shown in image below:
Find the slope of the line that passes through the points (5,9) and (2,7).
Answer:
-2/3
Step-by-step explanation:
y2-y1 over x2-x1
The coldest temperature last December was –18.24 degrees. The difference between this and the highest recorded temperature was 56.24 degrees. What was the highest recorded temperature?
Answer: The highest recorded temperature was 38 degrees.
Step-by-step explanation:
Given: The coldest temperature last December was –18.24 degrees.
Difference between this and the highest recorded temperature=
56.24 degrees
The highest recorded temperature = coldest temperature + difference
= -18.24+56.24 degrees
= 38 degrees
Hence, the highest recorded temperature was 38 degrees.
c). The local bus service has 2 lines of buses that start together at 8
a.m. Buses on line A leave after every 15 minutes while Buses on line
B leave after every 20 minutes. In a day, how many times do buses on
both line A and B leave together between 8 a.m. and 11 a.m.
Answer:
3 times
Step-by-step explanation:
Firstly we calculate the number of minutes between 8 and 11 am
The number of hours is 3 hours
The number of minutes is 180 minutes since 1 hour is 60 minutes
Now out of 180, to know the number of times that they both leave, we need to get the multiples of both between 0 and 180
The multiples are;
60, 120, 180
This means that they leave together 3 times