16.5 / p = 11 / 18
p = 16.5 × 18 / 11
p = ( 16.5 / 11 ) × 18
p = 1.5 × 18
p = 27
A 2 meter television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad. The camera’s angle of elevation to the shuttle is 32° at this specific time . Find the height of the shuttle.
To find the height of the shuttle, we can use trigonometry and the concept of similar triangles. The height of the shuttle is approximately 468.675 meters.
Let's assume that the height of the shuttle is represented by 'h' meters. From the information given, we know that the distance between the camera and the launch pad is 750 meters, and the angle of elevation from the camera to the shuttle is 32 degrees.
Using trigonometry, we can set up the following equation:
tan(32°) = h / 750
To find the value of h, we can rearrange the equation:
h = tan(32°) * 750
Using a calculator, we can find the value of tan(32°) ≈ 0.6249.
Now we can calculate the height of the shuttle:
h ≈ 0.6249 * 750
h ≈ 468.675 meters
Therefore, the height of the shuttle is approximately 468.675 meters.
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A bank advertises an interest rate of 4% per year, compounded monthly
Page 7
What is the APY?
The units are percent, but do not enter the % sign. Round 2 decimal places,
Note: if your answer is 5.24%, then enter only 5.24
Given :
Interest rate , r = 4 %.
To Find :
The APY .
Solution :
APY is given by :
\(APY=(1+\dfrac{r}{n})^n-1\)
Here , r is compound interest and n is number of time compounded .
So ,
\(APY=(1+\dfrac{r}{n})^n-1\\\\APY=(1+\dfrac{4}{12})^{12}-1\\\\APY=30.57\%\)
Therefore , APY is 30.57 % .
Hence , this is the required solution .
Divide 6/13 by 6/12 .
A. 12/13
B. 9/16
C. 1/12
D. 13/12
Select the best choice to correct the vague pronoun reference in this sentence.
Did you see it in the sky last night?
in the evening
looking up
near the stars
the spaceship
The vague pronoun "it" can be replaced by -
Option D: the spaceship
What is a pronoun?
An alternative to a noun is a pronoun. In order to avoid using the noun more than once in a paragraph or piece of writing, it replaces. Singular and plural pronouns can be used. The verb in the sentence should be utilised in keeping with the specific pronoun form that is being employed.
The sentence is "Did you see it in the sky last night?".
"The spaceship" is the most appropriate option to replace the ambiguous pronoun reference in this statement.
Did you see it in the sky last night? is a vague question because "it" could refer to a variety of sky-observed objects.
The language becomes clearer and more precise by swapping "it" for "the spaceship," referring specifically to a particular item observed in the sky.
Therefore, the spaceship is the correct choice.
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5 times 100 times 105
Answer:
52500
Step-by-step explanation:
first do 5*105 to get 525 then mutiply by 100 to get 52500
The perimeter of a rectangle is 156 feet. The length is 22 feet. What is the width?
Answer:
Width is 56 feet
Step-by-step explanation:
MARK ME AS BRAINLIEST
8 less than a number results in 3.
Answer:
11
Step-by-step explanation:
if you add 3 and 8 you get 11
When writing a proof, how do you construct the first statement?
A) By writing the next logical statement from the current one.
B) By copying the “given” statement(s) from the original problem.
C) By copying the “prove” statement(s) from the original problem.
D) By writing the justification for the first statement in the right column
Please I need this for tonight :(
Answer:
B
Step-by-step explanation:
Just took the quiz
By copying the “given” statement(s) from the original problem.
What is a Proof?
evidence or argument establishing or helping to establish a fact or the truth of a statement.
How to determine?We just start any proof or derivation
By copying the “given” statement(s) from the original problem.
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hello, I need help with a couple of practice geometry problems
From the figure, YW is a median
The median is defined as a line segment that join a vertex to the mid-point of the opposite side.
In this case, YW joins vertex Y to the segment XZ to mean that at point W, the median divides the side XZ into two equal parts.
So, length XZ= length WZ
Answer
d) WX=WZ
Given m∥ n, find the value of x.
Answer:
Step-by-step explanation:
3x + 5 + x - 25 = 180
4x - 20 = 180
4x = 200
x = 50
Can someone help !!
2. What is the probability that you select a Jack given that it is a Club?
P(Jack∣Club)=
3. What is the probability that you select a Club given that it is a Jack?
P(Club∣Jack)=
4. What is the probability that you select a card that is NOT a Jack given that it is NOT a Club?
P(NotJack∣NotClub)=
5. What is the probability that you select a card that is NOT a Club given that is it NOT a Jack?
The probability that you select a Jack given that it is a Club P(Jack∣Club) is 1/13.
The probability that you select a Club given that it is a Jack is P(Club∣Jack) is 1/4.
The probability that you select a card that is NOT a Jack given that it is NOT a Club,P(NotJack∣NotClub) is 47/38
The probability that you select a card that is NOT a Club given that is it NOT a Jack is 38/47
The probability that you select a Jack given that it is a Club P(Jack|Club):
There are 4 Jacks in a deck (one for each suit), and since we are given that the selected card is a Club, we only need to consider the 13 cards in the Club suit.
So, the number of favorable outcomes is 1 (the Jack of Clubs), and the total number of possible outcomes is 13 (the number of cards in the Club suit)
P(Jack|Club) = 1 / 13
The probability that you select a Club given that it is a Jack
P(Club|Jack):
P(Club|Jack) = Number of favorable outcomes / Total number of possible outcomes
P(Club|Jack) = 1 / 4
The probability that you select a card that is not a Jack given that it is not a Club
P(NotJack|NotClub):
The number of cards that are not Jacks is 52 - 4 = 48 (since there are 4 Jacks in the deck), and the number of cards that are not Clubs is 52 - 13 = 39 (since there are 13 cards in the Club suit).
P(NotJack|NotClub) = Number of favorable outcomes / Total number of possible outcomes
P(NotJack|NotClub) = (48 - 1) / (39 - 1)
=47/38
P(NotClub|NotJack) = (39 - 1) / (48 - 1)
=38/47
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The product of two whole numbers is 812 and their sum if 57. What are the two numbers?
Answer:
28 and 29
Step-by-step explanation:
28x29=812
28+29=57
Two angles in a triangle add up to 139 degrees. What is the size of the third angle?
Answer:
41
Step-by-step explanation:
A triangle has 180 angles therefore the last angle = 42 degrees. 180-139=41
3^2 x 3
pls help i can figur it out
Answer: 27
Step-by-step explanation:
3^2 = 3 x 3= 9
9 x 3 = 27
The side lengths are 9,12,18. is this a right triangle?
No the side lengths of 9,12, and 18 doesn’t form a right triangle. Posted a picture showing all the side length that is a right triangle.
Answer:
no it is not
Step-by-step explanati
Write the sentence as a conditional. 5x-9 = 11 implies that 5x = 20. Choose the correct answer below. A. If 5x-9 = 11, then 5x = 20. B. If 5x = 20, then 5x-9= 11. c. If 5x = 20, then x = 4. D. If 5x-9= 11, then x= 4.
It is given that if 5x-9=11 then 5x=20
Twice a number added to another number is -8. The difference of the two
numbers is 2. Find the numbers.
Answer:
x = -2 and y = -4
Step-by-step explanation:
Given:
2x + y = -8
x - y = 2
Add the two equations:
3x + 0y = -6
3x = -6
x = -2
Sub x = -2 into the second equation
-2 - y = 2
-4 = y
Therefore, x = -2 and y = -4
HELP PLEASE
LOTS OF POINTS
EASY POINTS
JUST ANSWER
THXX <3
Answer:
180°
Step-by-step explanation:
You can rotate the equilateral triangle 180° to match the original orientation.
Which linear function represents a slope of ? A two column table with five rows. The first column, x, has the entries, 3, 6, 9, 12. The second column, y, has the entries, negative 11, 1, 13, 25. A coordinate plane with a straight line with a positive slope passing through (0, 3), (4, 4), and (8, 7). A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8. A coordinate plane with a straight line with a positive slope passing through (2, 0), (3, 4), and (4, 8)
The linear function which represents a slope of -3 as required in the task content is; A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8.
Which answer choice has a slope of -2?It follows that the task requires that a linear function whose slope, i.e rate of change is -2 is to be determined.
Since slope is the rate of change in y with respect to x;
The required linear function is; A two column table with five rows. The first column, x, has the entries, -5, -1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8 so that we have;
Slope = (24 - 32) / (-1 -(-5)) = -8 / 4 = -2.
Remarks: The complete question is such that the required slope is -2.
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Answer: the second option
Step-by-step explanation:
i took the assignment
Suppose Carson worked as a babysitter for85 hours one week. What is the minimum number of full hours he would need to work at his fathers business to earn at least $96 that week?
Answer:
Answer: The minimum number of full hours did Carson need to work at his father's business is 8 hours and 15 minutes. Happy to help!
Step-by-step explanation:
elm st. and spruce st. are parallel what is m<1
Answer:
The measure is 68
Step-by-step explanation:
180-112 = 68
side alternate exterior (supplementary)
The measure of angle 1 will be equal to 68.
What are supplementary angles?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet. The supplementary angle is defined as the angle having the sum of 180 degrees.
Given that there are two parallel lines intersecting one line at an angle of 112. The angle 1 will be calculated as:-
The angle will be calculated as follows:-
∠1 + 112 = 180
∠1 = 180 - 112 = 68
Therefore, the measure of angle 1 will be equal to 68.
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Brand A has a box of 25 forks for 1.99 and Brand B has a box of 42 totals for 3.89. What is the unit price for each brand and what brand is a better buy based on unit price
Answer:
Brand A
Step-by-step explanation:
Brand A has a box of 25 forks for 1.99
Take the price per fork
1.99 /25 = .0796
.08 per fork
Brand B has a box of 42 totals for 3.89
3.89 / 42
.092319048
.09 per fork
Can you simplify thiss !
-2 - x
To simplify the expression -2 - x, we can combine the constant term (-2) with the variable term (-x).
So, -2 - x simplifies to -2x - 2.
Let's simplify the expression -2 - x step by step:
Step 1: Start with the given expression: -2 - x.
Step 2: To simplify, we combine like terms. In this case, we have a constant term (-2) and a variable term (-x).
Step 3: Combine the constant term (-2) with the variable term (-x) by subtracting x from -2. This gives us -2x.
Therefore, the simplified expression is -2x.
In summary, -2 - x simplifies to -2x.
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I need help with these questions
Answer:
28. m<A=20°, m<B=70°
32. m<A=103°, m<B=77°
Step-by-step explanation:
complementary angle=a+b=90°
supplementary angle=a+b=180°
28. A+B=90°
5x+17x+2=90°
22x+2=90°
22x=90-2
22x=88
22x/22=88/22
x=88/22=4
m<A=5x=5*4=20°
m<B=17x+2=17*4+2=68+2=70°
Check
A+B=90°
20+70=90°
90°=90°
32. A+B=180°
x+11+x-15=180°
2x-4=180°
2x=180+4
2x=184
2x/2=184/2
x=184/2
x=92
m<A=x+11=92+11=103°
m<B=x-15=92-15=77°
Check
A+B=180°
103+77=180°
180°=180°
PLEASE HELP ?
Find the length of BC
A: 72
B: 54
C: 40.5
D: 108
Answer:
its 72
Step-by-step explanation:
i did itand it showed 72
The average of three numbers is 16 if one of the numbers is 18 what is the sum of the other two numbers
Answer:
sum of two numbers is 30
Step-by-step explanation:
let three numbers are x,y,z
average =x+y+z/3
x+y+z/3=16
x+y+z=48......(1)
The sum of two numbers is 18.
according to condition:
let x=18
subtitute x=18 in (1)
18+y+z=48
y+z=48-18
y+z=30
900 employees had put their names in a lucky draw. When the lucky numbers were drawn. The first draw eliminated 20% of the people, the second draw eliminated 30% of the remaining people and the third draw eliminated exactly one third of the remaining people. How many people were eliminated in the third draw?
Answer: in the third draw 33.33% people eliminated.
Step-by-step explanation:
the volume of a cone is 2307.9 mm^3. The height is 5 mm. What is the radius?
Answer:
21 mm
Step-by-step explanation:
Given,
Volume of cone ( V ) = 2307.9 mm³
Height ( h ) = 5 mm
To find : Radius ( r )
Formula : -
Volume of cone = πh/3 r²
Note : -
The value of π is 3.14
Volume of cone = πh/3 r²
2307.9 mm³ = 3.14 x 5/3 x r²
2307.9 = 5.23 x r²
Divide 5.23 on both sides,
r² = 2307.9 / 5.23
r² = 441
r² = 21 x 21
r² = 21²
r = 21 mm
100 POINTS!
STATS
EXPLANATION NEEDED
Answer:
Step-by-step explanation:
Answer:
500 dollars
Step-by-step explanation:
Identify the next number in the following sequence
25 49 97 ?
Select only one answer
- 124
- 171
- 139
- 193
Answer:
the correct answer is 193
Step-by-step explanation:
25×1-0=25
25×2-1=49
49×2-1=97
97×2-1=193