Answers
h is measured in miles so you need to convert 1135ft to miles
1 mile = 5280 feet
so 1135/5280 = 0.21496 miles
D = sqrt(2(3960)(0.21496) + 0.21496^2)
D = sqrt(1702.4832 + 0.046207801)
D = sqrt(1702.529408
D = 41.2617 miles round answer as needed
Related Questions
Staci has 7 more cats than Taylor. Write an expression that illustrates how many cats Staci has. use x to represent the number of cats that Taylor has
Answers
T=x S=x+7
How do you simplify 25-4x-15/4
Answers
[tex]-4x+(25- \frac{15}{4} )[/tex]
Step 2. Simplify
[tex]-4x+ \frac{85}{4} [/tex]
Done! :)
what factors do 28 and 44 have in common?
Answers
Factors that 28 and 44 have in common are 1, 2, and 4.
Factors that 28 and 44 have in common:
1. List of Factors for 28:
1, 2, 4, 7, 14, 28
2. List of Factors for 44:
1, 2, 4, 11, 22, 44
Common Factors: 1, 2, 4
in the chorus there 12 more girl than boys there 32 student in chorus how many boys are there and how many girls are there
Answers
x + (x + 12) = 32
Now simplify:
2x + 12 = 32
Then subtract:
2x = 20
Now divide to find x:
x = 10
Plug back in to find the amounts:
10 boys
22 girls
Hope this helps!! :)
A plant has a height of 8 1/4 inches what is the height of the plant after it grows 1 7/8 inches?
Answers
The height of the plant after it grows 1 7/8 inches is 81/8 inches.
Explanation:To find the height of the plant after it grows 1 7/8 inches, we need to add 1 7/8 to the current height of 8 1/4. First, we can convert 8 1/4 to an improper fraction by multiplying the whole number (8) by the denominator (4) and then adding the numerator (1). This gives us 33/4 inches. Next, we can add 1 7/8 by finding a common denominator (8) and adding the numerators (1+7=8). So, 1 7/8 is equivalent to 15/8. Adding 33/4 and 15/8, we first need to find a common denominator which is 8. Multiplying the numerator and denominator of 33/4 by 2 gives us 66/8. Now, we can add 66/8 and 15/8 to get a total of 81/8 inches. Therefore, the height of the plant after it grows 1 7/8 inches is 81/8 inches.
Final answer:
After adding the growth of 1 7/8 inches to the original plant height of 8 1/4 inches, the new height of the plant is calculated to be 10 1/8 inches.
Explanation:
To calculate the new height of the plant after it grows an additional 1 7/8 inches, we simply need to add this growth to the plant's original height of 8 1/4 inches. The sum of these two measurements will give us the plant's total height.
Begin by converting the mixed numbers to improper fractions to make addition easier: 8 1/4 inches becomes 33/4 inches and 1 7/8 inches becomes 15/8 inches. Next, find a common denominator and add the two fractions.
Common denominator for 4 and 8 is 8.Convert 33/4 to an equivalent fraction with a denominator of 8, which is 66/8.Add 66/8 inches and 15/8 inches.(66/8) + (15/8) = 81/8 inches.Now, convert the improper fraction back to a mixed number to determine the plant's new height:
81 divided by 8 is 10 with a remainder of 1.So, 81/8 inches is equal to 10 1/8 inches.Therefore, after growing an additional 1 7/8 inches, the plant's new height is 10 1/8 inches.
A 9-ft light pole casts a 15-ft shadow. Find thw height of a nearby tree that is cadtinh a 40-ft shadow.
Answers
What is the measure of DG?
In circle D, mGEC is 230 degrees
What is the measure of GDC?
what is the measure of AC?
Segment CO is congruent to segment HZ
which congruence statement is true?
A. OZ is congruent to CO
B. CH is congruent to COZ
C. CH is congruent to HZO
D. CO is congruent to HZ
in circle K, what is the value of x?
A. x=30
B. x=25
C. x=20
D. x=15
Answers
Minor arc DG is 110 degrees because we double the inscribed angle (DHG) to get 2*55 = 110
Answer: 110 degrees
=================================================
Problem 2)
Central angle GDC is the same measure as arc GFC. The central angle cuts off this arc.
The arcs GEC and GFC both combine to form a full circle. There are no gaps or overlapping portions.
So they must add to 360 degrees
(arc GEC) + (arc GFC) = 360
(230) + (arc GFC) = 360
(230) + (arc GFC)-230 = 360-230
arc GCF = 130
Answer: 130 degrees
=================================================
Problem 3)
Similar to problem 1, we have another inscribed angle. ABC is the inscribed angle that cuts off minor arc AC
So by the inscribed angle theorem
arc AC = 2*(inscribed angle ABC)
3x+9 = 2*(3x-1.5)
Solve for x
3x+9 = 2*(3x-1.5)
3x+9 = 6x-3
9+3 = 6x-3x
12 = 3x
3x = 12
3x/3 = 12/3
x = 4
If x = 4, then
arc AC = 3x+9
arc AC = 3*4+9
arc AC = 21
Answer: 21 degrees
=================================================
Problem 4)
Since we have congruent chords, this means that the subtended arcs are congruent. In this case, the arcs in question are CO and HZ
So arc CO is congruent to arc HZ
Answer is choice D
=================================================
Problem 5)
We have a right triangle due to Thale's theorem
The angles 75 degrees and x degrees are complementary angles. They must add to 90
x+75 = 90
x+75-75 = 90-75
x = 15
Answer: Choice D) 15
It can be deduced that the value of angle GDC is 110°.
How to calculate the anglesThe value of minor arc DG will be;
= 2 × 55°
= 110°
The value of AC will be:
= 230° + AC = 360°
AC = 360° - 230°
AC = 130°
Lastly, since segment CO is congruent to segment HZ, CO is congruent to HZ.
Learn more about angles on:
https://brainly.com/question/25716982
What is the exact value of sin30
Answers
The exact value of sin30 is 1/2
Just use calculator, then press sin and put the number 30 then you will find it.
I hope I helped!
Find three consecutive even integers such that the sum of the smallest integer and twice the median is 20 more than the largest integer
Answers
The three consecutive even integers are 10, 12, and 14.
Given that three consecutive even number the sum of the smallest integer and twice the median is 20 more than the largest integer.
Let's represent the three consecutive even integers as follows:
The smallest integer: x
The median integer: x + 2 (since it's consecutive and even)
The largest integer: x + 4 (since it's consecutive and even)
Now, we can set up the equation based on the given information:
"The sum of the smallest integer and twice the median is 20 more than the largest integer."
This can be expressed as:
x + 2(x + 2) = (x + 4) + 20
Now, we can solve for x:
x + 2x + 4 = x + 24
Combine like terms:
3x + 4 = x + 24
Subtract x from both sides:
2x + 4 = 24
Subtract 4 from both sides:
2x = 20
Now, divide by 2:
x = 10
So, the smallest integer is 10, the median integer is x + 2 = 12, and the largest integer is x + 4 = 14.
Therefore, the three consecutive even integers are 10, 12, and 14.
Learn more about consecutive even integers click;;
https://brainly.com/question/26438608
#SPJ12
When using the substitution method to solve a nonlinear system of equations, you should first see if you can _____ one variable in one of the equations in the system?
Answers
What's the next three terms of the following sequence 160,136,112,88
Answers
On each number from the sequence you are subtracting 24 from it. So 160-24= 136 then 136-24= 112 then 112-24 = 88 then 88-24 = 64 and so on
ello guys pls help with me with this ques
Answers
Using Thalès,
[tex] \dfrac{12}{12+6} = \dfrac{XY}{24} \\\\ ==\ \textgreater \ XY= \dfrac{12*24}{18} =16[/tex]
How to multiply a whole number into a fraction?
Answers
To multiply a fraction, both terms must be a fraction.
To turn a whole number into a fraction (without changing the value of the number), we put 1 as the denominator:
Example:
8=8/1
Now that you have terms as fractions, you can multiply them by eachother:
8/1*2/5
=16/5
Hope this helps.
-Benjamin
Write the function y = 3(x - 1)2 + 2 in standard form.
Answers
6(x-1) = 6x - 6
6x - 6 + 2
6x -4
hope this helps
Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = i/pie . Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?
Answers
P=I/rt
P the amount of money ?
I simple interest 20
R interest rate 0.05
T time 5years
So
P=20÷(0.05×5)
P=80
Hope it helps!
r= 5% = 0.05
t = 5 years
I= 20
P=20÷(0.05×5)
P=$80
If an item is 1/3 off, to calculate the final price simply divide the original price by 3. true or false
Answers
if it was asking for 1/3 of the original price, it would be true
but 1/3 off....means u are paying 2/3...so u would multiply the original price by 2, then divide by 3...or u would take the original price and subtract 1/3 * the original price
Answer:
False.
Step-by-step explanation:
If an item is [tex]\frac{1}{3}[/tex] off thats how much you are not paying from the original price of the item, to calculate how much are you paying after the disccount you can do 2 things.
The first one is multiplying the price by [tex]\frac{1}{3}[/tex] and then substracting that from the original price, that will give you the final price.
Or you can simply multiply the original price by 2/3 which is what you have to pay for the item in terms of fractions, and you´d get the final price.
PLEASE HELP!!!! The measure of an angle is x. The sum of the measure of this angle and an angle with twice the measure is the measure of an obtuse angle. Given the range of possible measures for the larger angle
Answers
Which of the following is not a good plan for achieving goals? a. Set goals higher than what you feel you can achieve. b. Be positive about achieving your goals. c. Continue to monitor your plan for achieving your goals. d. Keep reminding yourself of your goals.
Answers
Answer: Set goals higher than what you feel you can achieve.
Step-by-step explanation:
Considering the one-time deposit and monthly rent, the equation y=1200+400x can be used to represent y, the total cost of renting an apartment for x months. What is the amount of the deposit?
A. $30
B. $400
C. $800
D. $1200 <--- My answer ( Check this please ^_^
Answers
y = 1200 + 400x
where y is the total amount of rent and x is the number of months.
There are two terms in the right-hand side of the equation: 1200, and 400x. It is observed that the value of the first term is constant at 1200 while that of the second term is variable depending on the number of months. The first term therefore can be attributed as the deposited value.
Therefore, the answer to the question is letter D.
Evaluate the following expression. 5^-1/5^0
Answers
Exact form:
1/5
Decimal Form: 0.2
ok, know some stuff
[tex]x^0=1[/tex] for all real values of x
[tex]x^{-m}=\frac{1}{x^m}[/tex]
so
[tex]\frac{5^{-1}}{5^0}=[/tex]
[tex]\frac{\frac{1}{5^1}}{5^0}=[/tex]
[tex]\frac{\frac{1}{5}}{5^0}=[/tex]
[tex]\frac{\frac{1}{5}}{1}=[/tex]
[tex]\frac{1}{5}[/tex]
it results in 1/5
or, we could have done
[tex]\frac{x^m}{x^n}=x^{m-n}[/tex] and
[tex]x^{-m}=\frac{1}{x^m}[/tex]
so
[tex]\frac{5^{-1}}{5^0}=5^{-1-0}=5^{-1}=\frac{1}{5^1}=\frac{1}{5}[/tex]
the result is [tex]\frac{1}{5}[/tex]
If a person puts 1 cent in a piggy bank on the first day, 2 cents on the second day, 3 cents on the third day, and so forth, how much money will be in the bank after 40 days? $8.20 $16.40 $0.40 $4.10
Answers
and if u have 1 cent on day 1 and 2 cents on day 2....then on day 40, u would have 40 cents....but we need the sum of all the days..
the sum of an arithmetic sequence can be found using the formula :
sn = n(a1 + an) / 2
n = number of terms = 40
a1 = first term = 1
an = last term = 40
now we sub
s(40) = 40(1 + 40) / 2
s(40) = 40(41)/2
s(40) = 1640/2
s(40) = 820.....820 cents = $ 8.20 <== the sum
if a and b are the measures of two first quadrant angles and sin a = 4/9 and sin b = 2/5 find sin (a+b)
Answers
The sine of the sum of two angles a and b, with sin a = 4/9 and sin b = 2/5, is calculated using the sine addition formula and is approximately 32.24/45.
To find sin(a+b) when given sin a = 4/9 and sin b = 2/5, we use the sine addition formula:
sin(a+b) = sin(a)cos(b) + cos(a)sin(b)
Since we have the sine values, but not the cosine values, we need to find cos(a) and cos(b). Knowing that [tex]sin^2(\theta) + cos^2(\theta) = 1[/tex]for any angle theta, we can find the cosines:
For cos(a): [tex]cos^2(a) = 1 - sin^2(a) = 1 - (4/9)^2 = 1 - 16/81 = 65/81[/tex]. So, [tex]cos(a) = \sqrt{(65/81)} = 8/9[/tex] (since a is in the first quadrant where cosine is positive).For cos(b): [tex]cos^2(b) = 1 - sin^2(b) = 1 - (2/5)^2 = 1 - 4/25 = 21/25[/tex]. So, cos(b) = [tex]\sqrt{(21/25)}= 4.6/5[/tex] (since b is in the first quadrant where cosine is positive).Now, we plug these values into the formula:
sin(a+b) = (4/9)(4.6/5) + (8/9)(2/5) = 16.24/45 + 16/45 = 32.24/45
Thus, the sine of the sum of the two angles a and b is approximately 32.24/45.
Find the value of d in the triangle
Answers
d = 3/ sin(15)
d= 11.5911 feet
round answer as needed
Why is it important to take note of skipped check numbers?
A. Skipping a check wastes the check and will end up costing money.
B. Locating skipped checks helps to identify where the fees come from.
C. Skipped checks were written for more money than was available in the account.
D. A skipped check has not been cashed or deposited.
Answers
Answer:
D. A skipped check has not been cashed or deposited.
Step-by-step explanation:
We can say that a skipped check number means the check has not been cashed yet.
If we see the check book and there is a gap between the check numbers that you have written, then that means the missing number checks are not processes yet. The processing can be depositing or withdrawing/cashing.
So, the correct answer here is D. A skipped check has not been cashed or deposited.
What is the length of line RS? Use the law of sines to find the answer.Round to the nearest tenth.
Answers
sin80°/3.1 = sin∠QSR/2.4
∠QSR = sin^-1(2.4sin80°/3.1)
≈ 49.679°
∠SQR = 180° - 80° - 49.679° (angles in a triangle)
= 50.321°
sin50.321°/RS = sin80°/3.1
RS = (3.1sin50.321°/sin80°)
= 2.4 units (nearest tenth)
The length of line RS is 2.4 units.
Help In Math Please!!
The graphic shows the average number of points scored per game for ten players in the NBA.
What is the interquartile range (IQR) of the data set.
A) 1.1
B) 4.9
C) 6.9
D) 9.8
Answers
Since the given dataset is already arranged in order.
We obtain the Q1 and the Q3 data values.
The Q1 value is the value for which 25% of the datavalues lie below it. For the given dataset, the Q1 value is 24.
Similarly, the Q3 value is the value for which 25% of the datavalues lie above it. For the given dataset, the Q1 value is 28.9.
The interquartile range is given by
IQR = Q3 - Q1 = 28.9 - 24 = 4.9
Therefore, the interquartile range (IQR) of the data set is 4.9.
Answer:
The other answer for USA TP is 26.25
Step-by-step explanation:
The mean is the average of the numbers.
29.8 + 29.6 + 28.9 + 27.1 + 26.4 + 25.5 + 24.5 + 24.0 + 23.8 + 22.9
10
= 26.25
What integer is equivalent to 25 3/2
Answers
25 3/2 = 26.5....not a whole number
Answer: 13
25 3/2 = 26.5
26.5 is basically 26 1/2
26 1/2 = 13
At what value of x does the graph of the following function F(x) have a vertical asymptote? F(x)= 2/x-2
Answers
That is x = 2
At a value of 2, the graph of F(x) = 2/x-2 has a vertical asymptote.
How do you factor: 12x^2-4x-40
Answers
4(3x^2-x-10)
From here use slip and slide for the inner trinomial
x^2-x-30
(x-6)(x+5)
(x-6/3)(x+5/3)
(x-2)(3x+5)
Final answer: 4(3x+5)(x-2)
4.5(8-x) + 36=102-2.5(3x+24)
what’s x?
Answers
30-4.5x+36=102-7.5x-60
30+36-4.5x=102-60-7.5x
66-4.5x=42-7.5x
Second, add 7.5x on both sides:
66+3x=42
Next, subract 66 on both sides:
3x=-24
Now, divide 3 on both sides:
-24/3=-8
x=-8