Answers
Answer:
AB=21 miles
Step-by-step explanation:
Since it's a right angles triangle, we'll use Pythagoras theorem
HYPOTENUSE ²= base² + perpendicular ²
Where hyp=AB, base=16 and perp=13
AB²=16²+13²
AB²=256+169
AB²=425
Taking sq root.
AB=20.6 miles
AB≈21 miles
Related Questions
-10 + square root of 2x+1 = -5
Answers
Answer:
Step-by-step explanation:
-10+sqrt2x+1 = -5
sqrt2x+1 = -5+10
sqrt2x+1 = 5
2x+1 = sqrt5
2x = sqrt5-1
x = (sqrt5-1)/2
Which set of statements about the angles is true? Angle 1 is congruent to angle 6, angle 2 is congruent to angle 4, angle 3 is congruent to angle 5 Angle 1 is congruent to angle 5, angle 2 is congruent to angle 4, angle 3 is congruent to angle 6 Angle 6 is congruent to angle 2, angle 5 is congruent to angle 4, angle 1 is congruent to angle 3 Angle 6 is congruent to angle 1, angle 3 is congruent to angle 2, angle 4 is congruent to angle 5
Answers
Answer:
Angle 1 is congruent to angle 5(alternate angles)
Angle 2 to 4(alternate angles)
And
Angle 3 is congruent to 6 (vertical angles)
Answer:
Angle 1 is congruent to angle 5(alternate angles)
Angle 2 to 4(alternate angles)
Angle 3 is congruent to 6 (vertical angles)
Step-by-step explanation:
A bag contains 1 red, 1 yellow, 1 blue, 1 green marbles. What is the probability of choosing a green marble, not replacing it, and then choosing a red marble
Answers
Answer:
you have a 25% chance of picking any marbel
Step-by-step explanation:
you have 4 marbels and each is worth 25.
Answer:
Choosing green marble: 1/4
Choosing Red marble: 1/3
Step-by-step explanation:
The probability of choosing a green marble is 1/4, because out of the total marbles in the bag (4), there is only 1 green marble. YOU WILL NOT REPLACE IT in the bag, so now you have only 3 marbles left in the bag. Out of those 3 marbles only 1 is red. Thats why the probability of choosing red is 1/3
In triangle DOC, cos(D) = 20/29. What is the value of tan(D)?
Answers
Answer:
[tex]tan(D) = \frac{21}{20}[/tex]
Step-by-step explanation:
Step(i):-
Given in triangle DOC
Cos(D) = 20/29
now
[tex]Sec(D) = \frac{1}{Cos(D)} = \frac{1}{\frac{20}{29} } = \frac{29}{20}[/tex]
We Know that trigonometry formulas
[tex]sec^{2}(D) -tan^{2} (D) =1[/tex]
[tex]tan^{2} (D) = sec^{2} (D) -1[/tex]
= [tex](\frac{29}{20} )^{2} -1[/tex]
= [tex]\frac{841 -400}{400} = \frac{441}{400}[/tex]
[tex]tan^2(D) = \frac{441}{400}[/tex]
[tex]tan(D) = \sqrt{\frac{441}{400} } = \frac{21}{20}[/tex]
[tex]tan(D) = \frac{21}{20}[/tex]
Which represents where f(x) = g(x)?
O f2) = g(2) and f(0) = g(0)
O f(2) = g(0) and f(0) = g(4)
O f(2) = g(0) and f(4) = g(2)
O f(2) = g(4) and f(1) = g(1)
Answers
Answer:
f(2) = g(2) and f(0) = g(0)
Step-by-step explanation:
The notation f(x) = g(x) means that x has the same value in both functions, and the function values are the same:
For x=2:
f(2) = g(2)
For x = 0:
f(0) = g(0)
__
If you're searching for solutions to f(x)=g(x), it does you no good to compare the function values for different values of x, as in f(2) = g(0). Such an equality is irrelevant to the problem of finding x such that f(x)=g(x).
The appropriate choice is ...
f(2) = g(2) and f(0) = g(0)
Raven is considering taking out a 30-year loan with monthly payments of
$145 at an APR of 1.3%, compounded monthly, and this equates to a loan of
$43,205.56. Assuming that the APR and the length of the loan remain fixed,
which of these is a correct statement?
Answers
Answer:
If Raven's monthly payment were $125, the amount of the loan that she is considering taking out would be less than $43,205.56.
Step-by-step explanation:
If you think about it this way it may be more simple. If the APR stays constant then a greater payment will result in a greater loan. The opposite is also true meaning a lesser payment will result in a lesser loan. If the amount Raven pays is greater than $145 then the loan will be greater than $43,205.56. If the amount she pays is less than $145 then the loan will be less than $43,205.56. Of the options, only one of these situations will be present. In my case, the correct option was a payment of $125 will result in a lesser loan than $43,205.56.
Answer:
If Raven's monthly payment were $125, the amount of the loan that she is considering taking out would be less than $43,205.56.
Step-by-step explanation:
What is the meaning of life
Answers
Answer:
The answer of life is 42 just look it up
What do you have to know before you can round a number
Answers
Answer:
if it ends in 5 then you round up but if it's less than 5 you round down
Step-by-step explanation:
You first have to locate the digit in the rounding place and this digit can be in the ones place, tens place,
hundreds place, thousands place, and so on.
After you locate the digit, look at the
digit to the right of the rounding place.
If the digit to the right of the rounding place is less than 5, we round down and if the digit is greater than or equal to 5, we round up.
Gymnastics lessons cost $10 per session, plus a one-time fee of $25. Shawn went to 7 sessions. Write an equation that can be used to find how much Shawn paid ?
Answers
Answer: y=10x+25
y=10(7)+25
=70+25
=$95
Step-by-step explanation:
3. What is the next term of the geometric sequence?
-1, -3, -9, -27, -81,
Answers
Help please
During a food drive, a school collected 217 cans of peas and
217
186 cans of corn. The problem at the right can be used to find
186
how many more cans of peas were collected than cans of corn.
Fill in the blanks to explain how to regroup when solving the problem.
Since
tens cannot be subtracted from 1 ten, regroup 2 hundreds
as
hundred(s) and 10 tens. Then combine all the tens in the top
number for a total of
tens. The school collected
more cans of peas than cans of corn.
Answers
Answer:
31 (i.e 3 tens and 1 unit)
Step-by-step explanation:
217 can be split up as,
2 hundreds, 1 tens, and 7 units.
186 can be split up as,
1 hundred, 8 tens and 6 units
If we solve straight we'll have
(2-1)hundreds + (1-8)tens + (7-6)units.
(1-8)tens will give a negative value, complicating the operation.
To make our operation easier we can use the fact that 1 hundred is equal to 10 ten to further split the 217, and it becomes
1 hundred, 11 tens and 7 units.
The operation becomes
(1-1)hundreds + (11 - 8)tens + (7-6)units
= 0 hundred + 3tens + 1 unit
= 3 tens + 1unit
= (3 x 10) + 1 = 31
X/7 ≥ -6 solve for x
Answers
Answer:
x>=42
Step-by-step explanation:
multiply by 7 on both sides
CAN SOME HELP ME PLEASE IT'S DUE IN 10 MINS
Answers
Answer:
Step-by-step explanation:the first one
volume ....................
Answers
Answer:
360 cm^2
Step-by-step explanation:
length x width x height
6 x 6 x 10
Answer:
360cm^3
Step-by-step explanation:
V=L*W*H
V=6*6*10
V=36*10
V=360
what sock price should the company set to earn a maximum profit
Answers
Answer:
10000000000000
Step-by-step explanation:
I do not know how to explain
Use distributive property to write an expression that is equivalent to each expression. -8(-x-3/4y+7/2
Answers
Answer:
8x +6y -28
Step-by-step explanation:
The outside factor applies to each inside term, so the equivalent expression is ...
-8(-x -3/4y +7/2) = 8x +6y -28
Applying the distributive property once again, we can also write the equivalent expression ...
= 2(4x +3y -14)
__
There are an infinite number of other equivalent expressions. The problem statement is non-specific as to the acceptable form.
PLEASE HELP ME
A .strong
B.parabolic
C.weak
D.negative
Question is in the picture
Answers
Two solutions of salt water contain 0.04% and 0.2% salt respectively. A lab technician wants to make 1 liter of solution which contains 0.12% salt. How much of each solution should she use?
Answers
x = amount (in L) of 0.04% solution
y = amount (in L) of 0.2% solution
x + y = 1
Each liter of p% salt solution contributes 0.01*p L of salt to the mixture. In the new solution, the lab tech wants to end up with a concentration of 0.12%, which comes out to 0.0012 * (1 L) = 0.0012 L of salt:
0.0004x + 0.002y = 0.0012
Solve for y in the first equation:
y = 1 - x
Substitute this into the other equation and solve for x, then y:
0.0004x + 0.002(1 - x) = 0.0012
0.0008 = 0.0016x
x = 0.5 L
y = 1 - 0.5 = 0.5 L
Toni adds the numbers. 43+51+32+25=376. What is toni's mistake
Answers
Answer:
Step-by-step explanation:
Toni didn’t add it up correctly, so the real answer is 151
Graphs of what functions are shown below?
Answers
Answer:
y = -√(x -5) +2
Step-by-step explanation:
This looks like a square root function reflected vertically, and translated up 2 and right 5.
y = -√(x -5) +2
_____
g(x) = a·f(x -h) +k represents a translation of f(x) by (h, k) and a vertical scaling by a factor of "a". If "a" is negative, the function is reflected across the x-axis.
If three points of a parallelogram are A (-5, -2), B (1,5), C (7.1). Which of the
following is the fourth point D of parallelogram ABCD?
(13,8)
(13.-6)
(1. -2)
(1,-6)
Answers
What is the slope of (-1,-2) and (0,-4)
Answers
Answer:
slope = rise / run = (y2-y1)/(x2-x1)
slope = (-4-(-2)/(0-(-1)) = (-4+2)/(0+1) = -2/1
Slope = -2
Step-by-step explanation:
Look at the attached picture
Hope it will be helpful to you..
The daily exchange rates for the five-year period 2003 to 2008 between currency A and currency B are well modeled by a normal distribution with mean 1.832 in currency A (to currency B) and standard deviation 0.044 in currency A. Given this model, and using the 68-95-99.7 rule to approximate the probabilities rather than using technology to find the values more precisely, complete parts (a) through (d). a) What would the cutoff rate be that would separate the highest 2.5% of currency A/currency B rates?
Answers
Answer:
The cutoff rate that would separate the highest 2.5% of currency A/currency B rates is 1.92.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 1.832
Standard deviation = 0.044
Top 2.5%
95% of the measures are within 2 standard deviation of the mean.
Since the normal distribution is symmetric, this 95% goes from the 50 - 95/2 = 2.5th percentile to the 50 + 95/2 = 97.5th percentile.
The 97.5th percentile is the cutoff for the highest 2.5% of currency A/currency B rates, and it is 2 standard deviations above the mean.
1.832 + 2*0.044 = 1.92
The cutoff rate that would separate the highest 2.5% of currency A/currency B rates is 1.92.
The operations manager at a compact fluorescent light bulb (CFL) factory needs to estimate the mean life of a large shipment of CFLs. The manufacturer’s specifications are that the population standard deviation is 1,000 hours. A random sample of 64 CFLs indicated a sample mean life of 7,500 hours.
Construct a 95% confidence interval estimate for the popu- lation mean life of compact fluorescent light bulbs in this shipment.
Answers
Answer:
The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.95[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96*\frac{1000}{\sqrt{64}} = 245[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 7500 - 245 = 7255 hours.
The upper end of the interval is the sample mean added to M. So it is 7500 + 245 = 7745 hours.
The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.
A means of the estimate numerical, the variation in that estimate is referred to as the confidence interval, therefore its value is "[tex][7255, 7745][/tex]".
Confidence interval:[tex]95\%[/tex] C.I. for a mean lifetime is given by
[tex]= [ \overline{X} - \tau_{0.975} \frac{\sigma}{\sqrt{n}} , \overline{X} + \tau_{0.975} \frac{\sigma}{\sqrt{n}} ][/tex], where
[tex]\bar{X}[/tex] (sample mean) [tex]= 7500[/tex]
[tex]\sigma[/tex] (standard deviation)[tex]= 1000[/tex]
[tex]n = 64[/tex]
by putting the value into the above-given formula we get the value that is [tex]= [7255, 7745].[/tex]
Find out more information about the confidence interval here:
brainly.com/question/2396419
A fraction that is equivalent to 6/-5?
Answers
Answer:
12/-10
Step-by-step explanation:
Any multiple of a fraction is the equivalent of the original fraction, the only difference is that it wont be fully simplified. If we multiply the original fraction (6/-5) by 2, both the numerator and denominator, you will get 12/-10.
Answer:
12/-10
Step-by-step explanation:
6/-5
6×2= 12
-5×2=-10
12/-10
If AB = 10, what is the length of DE?
11
5
12
3
Answers
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
What is the value of x in the equation 0.7x -1.4 = -3.5?
-7
x
-3
Answers
Answer:
–3
Step-by-step explanation:
i got 90% on my quiz also may i pleas get brainliest
How to factor this trinomial(a=1)?
Answers
Answer:
The answer is (x+8)(x-3) .
Step-by-step explanation:
First, you have to elaborate out :
[tex] {x}^{2} + 5x - 24[/tex]
[tex] = {x}^{2} - 3x + 8x - 24[/tex]
Next, you can factor out the like terms :
[tex] {x}^{2} - 3x + 8x - 24[/tex]
[tex] = x(x - 3) + 8(x - 3)[/tex]
[tex] = (x - 3)(x + 8)[/tex]
Answer:(x-3)(x+8)
Step-by-step explanation:
x^2+5x-24
We first find two numbers whose product is -24 and whose sum is 5,the two numbers are 8 and -3,we then removed +5x from the equation and replace it with +8x-3x
x^2+8x-3x-24
We factorise
x(x+8)-3(x+8)
We factorise the like terms which is (x+8)
(x-3)(x+8)
Pls help with this one I will give you brainliest thank you!
Answers
Answer:
[tex] \boxed{Volume \: of \: right \: rectangular \: prism = 790 \: {meter}^{3}} [/tex]
Explanation:
Volume of right rectangular prism is same as volume of cuboid
Length = 22.9 meters
Width = 7.5 meters
Height = 4.6 meters
Volume of right rectangular prism = Length × Width × Height
= 22.9 × 7.5 × 4.6
= 22.9 × 34.5
= 790.05 meter³
= 790 meter³
You need to be taller than 48" to ride the roller coaster. Which of the following inequalities shows the height Susan has to be to ride the roller coaster.
h < 48"
h > 48"
h ≤ 48"
h ≥ 48"
Answers
Answer:
> 48"
Step-by-step explanation:
> represents greater than 48"
