The distance between two people or the distance of the adjacent is 150 ft.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjacent/hypotenuse and
tan = opposite/adjacent.
The distance of the string can be thought of as a hypotenuse which is 300 ft long.
The angle it is making with the hypotenuse is cosine 60° and the distance they are apart can be thought of as an adjacent.
Therefore, cos = adjacent/hypotenuse.
cos60° = adjacent/300.
1/2 = adjacent/300.
adjacent = 300/2.
adjacent = 150 ft.
Q. Two people are standing in a field. One person is flying a kite with a string that is 300 ft long. When the kite is directly above the second person, the cosine value of the angle made by the string and the ground is
60°, How far apart are the two people?
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17. A rectangular prism has a length of 12 cm, a
height of 6/cm, and a width of 4 cm. Use the
formula SA = 2({w) + 2(wh) +2(ehy to find the
surface area of the rectangular prism.
Answer:
SA = 288 cm
Step-by-step explanation:
l = 12
w = 4
h = 6
SA = 2lw + 2wh + 2lh
SA = (2 x 12 x 4) + (2 x 4 x 6) + (2 x 12 x 6)
SA = 96 + 48 + 144
SA = 288
Hanover High School has the best women's swimming team in the region. The 400-meter freestyle relay team is undefeated this year. In the 400-meter freestyle relay, each swimmer swims 100 meters. The times, in seconds, for the four swimmers this season are approximately normally distributed with means and standard deviations as shown.
Complete question :
Swim team Hanover High School has the best women’s swimming team in the region. The 400- meter freestyle relay team is undefeated this year. In the 400-meter freestyle relay, each swimmer swims 100 meters. The times, in seconds, for the four swimmers this season are approximately Normally distributed with means and standard deviations as shown. Assuming that the swimmer’s individual times are independent, find the probability that the total team time in the 400-meter freestyle relay is less than 220 seconds. Follow the four-step process
Answer:
0.225
Step-by-step explanation:
Given the data:
Swimmer__ Mean __Std. dev.
Wendy ___ 55.2 ____ 2.8
Jill _______ 58.0 ____ 3.0
Carmen____56.3 ____ 2.6
Latrice_____54.7_____2.7
Team average = (55.2 + 58 + 56.3 + 54.7) = 224.2
Team standard deviation = (2.8 + 3 + 2.6 + 2.7) = 11.1
Standard Error = 11.1 /sqrt(n)
Standard Error = 11.1 / sqrt(4)
Standard Error (S. E) = 11.1 / 2 = 5.55
P(x < 220) :
(x - mean) / S.E
(220 - 224.2) / 5.55
= −0.756756
P(Z < - 0.757) = 0.22452
P(Z < - 0.757) = 0.225
Answer:
its B
Step-by-step explanation:
3(x+1)-5=3x-2
Option1: no solution
Option2:infinite solutions
Option3:one solution
Answer:
Simplify 3(x+1)−5.
3x−2=3x−2
Move all terms containing x to the left side of the equation.
−2=−2 Since −2=−2 , the equation will always be true for any value of x
All real numbers
The result can be shown in multiple forms.
All real numbers
Interval Notation:
(−∞,∞)
Option2 : infinite solutions
Step-by-step explanation:
8 less than the quotient of a number and 4
Answer:
(n/4)- 8
Step-by-step explanation:
a number= "n"
(n/4)-8
Write the phrase as a numerical expression; the product of 5 and 7
Answer: 12 = 7 + 5
Step-by-step explanation:
12 = 7 + 5
Blake purchased a new car in 1990 for \$15,200$15,200. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was \$10,000$10,000 in the year 1992, then what would be the predicted value of the car in the year 2001, to the nearest dollar? HELP!
Answer:
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
Step-by-step explanation:
VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV
I colour coded them so it would be easy to point out what goes where
Ex:
Poly: blue green, etc.
Non poly: pink purple, etc.
Help will make brainlist.
Answer: A
Step-by-step explanation:
what am i missing? ..
Marisa's hair grew 11 in. in 2 mo.
how many inches did her hair grow in a month
Find the diameter of a circle
with an area of 90.25m2
Answer:
10.7196
Step-by-step explanation:
In ΔXYZ, y = 55 cm, z = 87 cm and ∠X=131°. Find the area of ΔXYZ, to the nearest square centimeter
Answer:
1806
Step-by-step explanation:
deltamath
Can someone plz help me with this one problem plzzzzz!!!!
(I Will Mark Brainliest)!!!
Please answer this ASAP!!!!
if you have 10 boxes and 93 needs to be distributed in to them equally how much is in each box
5 points and brainliest to first correct answer!
Absalom states that 0 is a rational number. Which is a correct explanation for this statement?
The number 0 is a whole number, which is part of the rational numbers.
The number 0 is the center of the number line.
The number 0 is a natural number, which is part of the rational numbers.
The number 0 cannot be written as a fraction.
Answer:
The number 0 is a whole number, which is part of the rational numbers.
Step-by-step explanation:
I'M 50% SURE THAT THIS IS CORRECT SO SORRY IF I'M WRONG.
Answer:
answer is A
Step-by-step explanation:
The number 0 is a whole number, which is part of the rational numbers.
Find the area of the unshaded portion of
this figure. The figures shown below are a
trapezoid and a rhombus.
21.4 ft
8.6 ft
10.1 ft
30.5 ft
Round your answer to the nearest tenths place.
The area of the unshaded portion is
square feet
Answer: 3055.25
Step-by-step explanation:
i need the answer to thisssssss im confused please help thank youuuuuu
Answer:
light blue
Step-by-step explanation:
Brian is building a rectangular pool that has a circular island in the middle. If he wants the length to be 25ft long, the width to be 15ft wide, and the island to have a diameter of 4ft, then what will the area of Brian's pool be, not including the island?
Answer:
368.72 ft^2
Step-by-step explanation:
25x15-2π
=375-2π
~368.72
Write in simplest form. Ysgrifennwch mewn ffurf symlaf. 15cm:12mm
Answer:
very easy go to india the children's can tell u the answer indians are brilliant
Step-by-step explanation:
got it follo w me plsss
Answer:
first we have to convert mm to cm or cm to mm,but I prefer to convert mm to cm so 1cm is equals to 10mm so 12mm×10=120mm
Step-by-step explanation:
15cm:120cm
both are divisible by 15 so we will divide both by 15
15cm÷15:120cm÷15
1cm:8cm
PLS HELP WHAT IS THE ANSWER?!!
A crew of highway workers paved 2/15 mile in 20
minutes. If they work at the same rate, what portion of
a mile will they pave
in an hour?
Answer:
So they would pave 3×215=3 ×23 ×5=25 mile/hr.
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
findth(2.718282)volum(2.718282)ifth(2.718282)diam(2.718282)t(2.718282)ris(12)(7.5)
=13357.184319ad2f2h2i4lm2norst3uv
Step-by-step explanation:
16 - 6 into 2 + 3 by 23 - 3 into 2
Answer:
80.5
Step-by-step explanation:
Find the area of the rectangle with measurements shown; reduce to lowest terms
Length: 2 2/5 feet; width: 1/3 feet
Answer:
I have gotten 100% on the quiz. The answer is 4/5 square feet.
Step-by-step explanation:
The area of the rectangle with the given measurements is 4/5 square feet.
How to find the area of a rectangle?The area of a rectangle can be found by multiplying the 2 adjacent sides of the rectangle. In a rectangle with sides l and b, the area can be found by A = l*b.
The length and width of the rectangle are given. We can find the area of the rectangle as follows:
[tex]\text{Area} =2\frac{2}{5} (\frac{1}{3} ) \text{ft}^{2}[/tex]
= (12/5) * (1/3) square feet
= 4/5 square feet
We have found the area of the rectangle with the given measurements to be 4/5 square feet. The correct answer is option C.
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find the value of given expression
[tex] \sqrt{63 + 37} [/tex]
Answer:
√{63 + 37}=√100=10 is your answer
prepare their flower beds for the Cedar bark mulch 6 inches deep is to be spread on each of the beds The mulch is sold in bags containing 3 cubic feet for $6.95 per bag If the landscaping company charges $200 plus the cost of the mulch, what will the Andersons pay for this mulching work?
Answer:
F>U>C>K U B>R>A>I>N>L>Y F>O>R D>E>L>E>T>I>N>G M>Y ANSWERS B>I>TCH
Step-by-step explanation:
Dwayne buys ingredients to make a cake. He buys 1 1/2 pounds of flour, 12 ounces of coconut, and 1 1/4 pounds of sugar. What is the total weight of the ingredients Dwayne bought? Select all that apply.
Answer:
3.05 or 31/2 pounds
56 ounces
Step-by-step explanation:
To find the total weight all the weights have to have the same units of measurements
It is either pounds is converted to ounces or ounces is converted to pounds
1. convert ounces to pound
1 ounce = 0.0625
12 ounces = 0.0625 x 12 = 0.75 pounds or 3/4
add together = 1 1/2 + 3/4 + 1 1/4 = [tex]1\frac{1}{2} + \frac{3}{4} + 1\frac{1}{4}[/tex]
[tex]2\frac{2 +3 + 1}{4}[/tex] = [tex]2\frac{6}{4}[/tex] = 3 1/2
2. 16 ounces = 1 pound
flour = 16 x 1 1/2 = 24
sugar = 16 x 1 1/4 = 20
total = 24 + 20 + 12 = 56 ounces
what is the value of x
Rewrite y=2x-7 in function notation
Answer:
this is how you rewrite in function notation F(×)=2x-7