A cellular phone tower services a 20-mile radius. A rest stop on the highway is 5 miles east and 12 miles north of the tower. If you continue driving due east, for how many more miles will you be in range of the tower?
Answer: 11
I just need a explanation, thank you!
Answers
The tower will work within next 11 miles inasmuch the drives moves through the road.
How to determine a distance inside a cellular phone towerThe maximum distance corresponds to the radius of the tower ([tex]r[/tex]), in kilometers, the east direction corresponds to the +x semiaxis and the north direction corresponds to the +y semiaxis. The angle and magnitude of the rest stop are found below:
[tex]l = \sqrt{5^{2}+12^{2}}[/tex]
[tex]l = 13[/tex]
[tex]\theta = \tan^{-1}\left(\frac{12}{5} \right)[/tex]
[tex]\theta \approx 67.380^{\circ}[/tex]
To determine distance within the cellular phone tower works we need to solve the following system of linear equations representing vector components:
[tex]5 + x = 20\cdot \cos \theta[/tex] (1)
[tex]12 = 20\cdot \sin \theta[/tex] (2)
By (2):
[tex]\theta = 36.869^{\circ}[/tex]
By (1):
[tex]x = 11[/tex]
The tower will work within next 11 miles inasmuch the drives moves through the road. [tex]\blacksquare[/tex]
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i dont understand this
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Pepper Jackie used a precision hydrometer to perform an experiment
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Answer:
Both have about the same range of sugar,but Jim's jint uses more sugar overall.
Step-by-step explanation:
please help me answer this asap thank you
find the value of x.
Answers
Answer:
x = 20
Step-by-step explanation:
the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord , that is
9x = 15 × 12 = 180 ( divide both sides by 9 )
x = 20
What is the height of a cone is the volume is 718.38mi^2 and the radius is 7mi?
Answers
Answer:
14 mi
Step-by-step explanation:
V = 718.38 mi³, r = 7 mi, find h
Use V = πr²h/3
718.38 = 3.14 * 7² * h/3
718.38 = 51.287 h
h = 718.38/51.287 = 14 mi
(Algebra 2)
Find the inverse of f(x) and its domain.
Answers
f^-1(x)=x
y=1/(x+5) - 1
y+1=1/(x+5)
(x+5)=1/(y+1)
x=1/(y+1)-5
f^-1(x)=1/(x+1) -5
denominator cannot equals to zero
x+1≠0
x≠-1
answer
B
Akaia ran 1.5 miles every Monday, 2 miles every Tuesday, 1.75 miles every Wednesday. How many total miles did she run in 4 weeks?
Answers
Answer:
21 miles
Step-by-step explanation:
1.5+2+1.75=5.25 but since it says total miles in 4 weeks
HELP PLS
A construction crew is lengthening a road. The road started with a length of 54 miles, and the crew is adding 2 miles to the road each day.
Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use this equation to find the total length of the road after the crew has worked 39 days.
FIND EQUATION AND TOTAL LENGTH OF ROAD AFTER 39 DAYS
Answers
Answer:
L=54+2d
L=54+2*39
L=54+78
L=132
Answer:
L = 2D + 54
132 miles
Step-by-step explanation:
Starting length: 54
Additional length each day: 2
On day 0, the additional length is 0.
On day 1, the additional length is 2 × 1
On day 2, the additional length is 2 × 2
On day 3, the additional length is 2 × 3
...
On day D, the additional length is 2 × D or simply 2D.
The total length after D days is the original length plus the total amount of the daily additions.
The equation is:
L = 2D + 54
On day 39, D = 39
L = 2D + 54
L = 2 × 39 + 54
L = 78 + 54
L = 132
Answer:
L = 2D + 54
132 miles
One of the greatest assets of a second Terry is often his/her ability on the keyboard of a computer. Miss Garcia has been recognized as the most outstanding typist at prestigious firm because of her outstanding typing speed. The table below displays data collected from her most recent evaluation.
Write an equation to represent the total number of words, Y, that Miss Garcia can type in X minutes.
if Miss Garcia maintains a constant speed consistent with the results above, how many words will she type in 49 minutes?
Answers
Answer:
Y = 70X
or
Y = 70*X
Step-by-step explanation:
The words she will type in 49 minutes will be,
70*49 ===> 3430 words
12.5 is 8% of what number?
Answers
8 percent of the number 156.25 is 12.5.
Let the unknown number be x.
Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here, 8% of x is 12.5
8% of x= 12.5
8/100 ×x= 12.5
0.08x=12.5
x=12.5/0.08
x= 156.25
Therefore, 8 percent of the number 156.25 is 12.5.
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Let A = {O, 2, 4, 6, 8, 10}, B = {O, 1, 2, 3, 4, 5, 6}, and C = {4, 5, 6, 7, 8,9, 10}. Find
Answers
Answer:
Ans= {0,1,2,3,4,5,6,7,8,9,10}
Step-by-step explanation:
Union of set A, B, C
A={0,2,4,6,8,10}
B={0,1,2,3,4,5,6}
C={4,5,6,7,8,9,10}
Union={0,1,2,3,4,5,6,7,8,9,10}
Find the value of x.
Answers
Answer:
12.5
Step-by-step explanation:
In this problem, we see a 5 on one side. The other side will be 5 as they have the congruent line indicator.
The formula for these types of problems are a*b=c*d.
a = 5
b = 5
c =2
d = x
(5)(5)=2(x)
x = 25/2 = 12.5
Simplify the following into a single logarithm: 3 log ( 6 ) − 3 log ( x )
Answers
Answer:
3 log (6/x)
Step-by-step explanation:
Rule: log(a) - log(b) = log(a/b)
3 log ( 6 ) − 3 log ( x ) = 3 log (6/x)
The prime factorization of which number 2⁵ x 5?
Answers
Answer:
Step-by-step explanation:
[tex]2^{5} *5 = 2 * 2* 2 * 2 * 2 *5[/tex]
= 160
Analyze the diagram below and complete the instructions that follow.
Find the value of x and the value of y.
Answers
Answer:
B
Step-by-step explanation:
This is an isosceles triangle. So, the sides opposite to equal angles are equal.
y = 5
To find x, use Pythagorean theorem,
x² = 5² + 5²
= 25 + 25
= 50
[tex]x =\sqrt{50}\\\\x=\sqrt{2*5*5}\\\\x=5\sqrt{2}[/tex]
Sean baked 5 batches of cookies. Each batch contained between 3 dozen and 5 dozen cookies. Which is a reasonable estimate of the
total number of cookies Sean baked?
Answers
Answer:
96 or 2,160
Step-by-step explanation:
Find the median of the data. 3,5,7,9,11,3,8 The median is...
Answers
Answer:
Step-by-step explanation:3
,
5
,
7
,
9
,
11
,
8
,
3
Arrange the terms in ascending order.
3
,
3
,
5
,
7
,
8
,
9
,
11
The median is the middle term in the arranged data set.
7
Answer:
the median is 7.
Step-by-step explanation:
line each number up in order from least to greatest. it should look like this. 3, 3, 5, 7, 8, 9, 11
on a sheet of paper, cross of the numbers on the ends until you get to the middle.
once you have gotten to the middle you should have one number left which is 7.
because this is a uneven number there will be only one number for the median.
i hope this helped<33.
James Marbury is the payroll accountant at All's Fair Gifts The employees of All's Fair Gifts are paid semimonthly. Lauren Stenn comes to him on April 2 and requests a pay advance of $1000, which Lauren will pay back in equal parts on the April 15 and May 15 paychecks Lauren is single with one dependent under 17 and is paid $51,680 per year Lauren contributes 3 percent of gross pay to a 401(k) and has $139 per paycheck deducted for a Section 125 plan.
Answers
Based on Lauren's income and the various deductions, the net pay for April is $1,151.44.
What is the taxable income?Taxable income:
= Semimonthly income - 401k - Section 125 plan
= (51,680 / 24 pay periods) - (0.03 x 51,680/24 periods) - 139
= 2,153.33 - 64.6 - 139
= $1,949.73
What is Lauren's April net pay?= Taxable income - federal income tax - state income tax - social security - Medicare - advance repayment
= 1,949.73 - (1.6% x 1,949.73) - (5.25% x 1,949.73) - (6.2% x 2,153.33 gross income) - (1.45% x 2,153.33) - 500
= $1,151.44
Find out more on taxable income at https://brainly.com/question/10137785.
Please helppppppppppppp
Answers
The line DB is 8cm which is made up of DE and EB which are equal to each other, thus DE and DB are both 4 cm.
Secondly, since AC and DB are perpendicular, that means angle DEC and angle DEA are ninety degrees.
Thus using the Pythagorean theorem, we can find the length of AE and EC which we can add up to find the length of AC.
[tex]AE = \sqrt{AD^2-DE^2} =\sqrt{5^2-4^2} =\sqrt{25-16} =\sqrt{9}=3\\ \\EC=\sqrt{DC^2-DE^2}=\sqrt{6^2-4^2}=\sqrt{36-16} =\sqrt{20} =2\sqrt{5} =4.47[/tex]
By adding AE and EC, we get that the length of AE and EC is 7.47 or as approximated to the nearest tenth 7.5.
Hope that helps!
Find the value of this expression if x = 3. x ^2 -1/ x+ 1
Answers
3^2-1/3+1
3x3=9 -1 = 8
3+1=4
8/4=2
Evaluate the expression 4 exponent 3 + 96 divided by 8 times 5 - 42
Answers
Answer: 61
Step-by-step explanation: 1+12*5
Simplify the sum 43+(96/8)*5-42
1
Add 43 and -42
12*5
Reduce 96/8 by factoring out and cancelling common factors
8*12/8.1
Factor out 8 from the top and bottom of the fraction
8*12=96
8*1=8
96/8=12
multiply 12 and 5. 12*5= 60
add 60 and 1
so the answer is 61
If you were to cover a pizza with cheese, how much area, rounded to the nearest whole number, would you need to cover with cheese if the pizza had a circumference of 31.4 inches?
Answers
Answer:
79 square inches
Step-by-step explanation:
First, let's find the diameter given the circumference.
[tex]C=\pi d[/tex] [tex]d=\frac{C}{\pi }[/tex] [tex]d= 31.4/3.14[/tex] [tex]d=10[/tex]Next, we know the the radius is half the diameter, so the radius is 5 inches. Now, we can solve the area of the circle.
[tex]3.14 * 5^2[/tex] [tex]3.14 * 25[/tex] [tex]78.5[/tex] 78.5 ≈ 79 square inchesTherefore, the answer is 79 square inches.
HELP ASAP
Connor needs 60 mL of a 19% acid solution for a science experiment. He has available a 21% solution and a 15% solution.
How many milliliters of the 21% solution and how many milliliters of the 15% solution should he mix to make the 19%
solution?
Provide your answer below:
mL
21% solution:
mL
15% solution:
FEEDBACK
Content attribution
1 POINT
QUESTION 15
8 and the interest rate on the second loan was 9%.
Answers
Answer:
Let x = ml of 21% solution
Let y = ml of 15% solution
ATQ,
x + y = 60.....(1)
or
0.21x + 0.15y = 0.6....(2)
Multiplying equation 1st by 0.21, we get,
0.21y+0.21y =12.6....(3)
subtracting equation 3
0.21y+0.21y =12.6
-0.21x +0.15y = 0.6
_________________
ㅤㅤㅤ 0.6y = 12
_________________
6y = 12
y = 20ml
x= 60-20 = 40 ml
Hence , Conner needs 20ml of 21% solution & 40ml of 15% solution
a blue and a red dice are rolled, what is the probability of rolling an odd number on the blue and an even number on the red?
Answers
There are 5 subjects each school day. Each subject is 45 minutes long. Lunch and recess are 35 minutes long. How long is the school day?
Answers
Answer:
4 hours and 33 minutes
Step-by-step explanation:
Before I answer, I was confused if recess and lunch are 35 minutes in total or 35 minutes each. My answer is if they are 35 minutes combined. If that's wrong, you can just add 35 minutes to my answer.
5*45 = 225
225+35 = 260 minutes or 4 hours and 33 minutes
Which relationships describe angles 1 and 2?
Select each correct answer.
O supplementary angles
O complementary angles
O vertical angles
O adjacent angles
Answers
What is the correct answer 2+245=
Answers
Answer:
247
Step-by-step explanation:
2 + 245
= 002 + 245
= 247
Two stores are having sales on cameras. • At Store X all cameras are on sale for 15% off the original price.
• At Store Y all cameras are on sale for off the original price. Which store would have the better sale price for a camera with an original price of $80?
Answers
Answer:
Store X, because the sale price would be $68
Step-by-step explanation:
vStore X, because the sale price would be $68
Assuming at Store Y all cameras are on sale for off the original price. The store with the better sale price is: Store y, because the sales price is $64.
Store x and yStore x
x=80×(1-0.15)
x=80×0.85
x=68
Store y
y=80×(-1/5+1)
y=80×4/5
y=64
y=64≤68
Based on the above calculation store y is the best.
Inconclusion the store that would have the better sale price is: Store y, because the sales price is $64.
Learn more about store x and y here:https://brainly.com/question/20455611
Find the point-slope equation for the line
that passes through the points (5, 19) and
(-5, -1). Use the first point in your
equation.
Answers
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ =\frac{-1-19}{-5-5} \\=\frac{-20}{-10} =2\\y-y_{1} =m(x-x_1)\\\\m=2\\(x_1, y_1)=(5, 19)\\y - 19 = 2(x - 5)\\y = 2x+9[/tex]
Which symbol would best replace the question marks below? 100 ? 88 ? 57 ? 47 ? 31 ? 16
A.=
B.<
C.>
Answers
Answer:
C
Step-by-step explanation:
Because the numbers on the left are always greater than the numbers on the right.
A restaurant serves a 16 inch pizza and a 20 inch pizza. About how many square inches is
each?
Answers
Answer:
16×16=256
20×20=400
multiply the number with its self and that's the square inches of each pizza.