If construction costs are $160,000 per kilometer, find the cost of building the new road in the figure
shown to the right
new road
10,000 m
24,000 m
The cost of building the new road is s
(Round to the nearest dollar as needed)
Answer:
$4,160,000
Step-by-step explanation:
First, find the length of the new road in km using Pythagorean Theorem.
According to Pythagorean Theorem:
c² = a² + b²,
Where, c is the longest leg, which is the hypotenuse, a and b are the 2 other legs of the ∆.
Since we are calculating the lenght in km, convert each lenght of the two legs of the ∆ into km.
1 km = 1,000 m
10,000 m = 10 km
24,000 m = 24 km
c² = 24² + 10²
c² = 576 + 100
c² = 676
c = √676
c = 26 km
Lenght of the new road = 26 km
If cost of construction is $160,000 per kilometer, therefore, cost of constructing 26 km road = 160,000*26 = $4,160,000
The cost of building the new road is $4,160,000.
Calculation of the cost of building:here we determine the length by using the Pythagorean Theorem.
So,
[tex]c^2 = a^2 + b^2[/tex]
Here
c is the longest leg
And, a and b are the 2 other legs of the ∆.
Now
1 km = 1,000 m
10,000 m = 10 km
24,000 m = 24 km
So,
[tex]c^2 = 24^2 + 10^2[/tex]
c² = 576 + 100
c² = 676
c = √676
c = 26 km
Now the cost should be
= 160,000(26)
= $4,160,000
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MATH
Please heeeeeeeeeeeelp
Answer:
3.002 * 10⁵
Step-by-step explanation:
3 * 10⁵ = 3 * 10³ * 10² = 3000 *10²
3 * 10⁵ + 2* 10² = 3000 * 10² + 2*10²
= (3000 + 2) * 10²
= 3002 * 10²
= 3.002 * 10³ * 10²
= 3.002 * 10⁵
80 + (-25) =
integers
Adding a negative is the same as subtracting a positive number.
80 + (-25)
80 - 25
= 55
Best of Luck!
which is right??????
Answer:
Point D
Step-by-step explanation:
To draw a perpendicular bisector between BE, you have take more than half of the length BE on the compass. So, it should be D
A triangle in the coordinate plane has the following vertices: P(-4,-3), 1(-2,-2), G(-2,-4). What are the new coordinates if the triangle is translated 3 units right and 4 units up?
Answer:
P’(-1, 1), I’ (1, 2), G’(1,0)
Step-by-step explanation:
Find a − b when a = −7 and b = 11.
Answer:
-18
Explanation:
a - b
a = -7
b = 11
Insert -7 for 'a' and 11 for 'b'
-7 - 11
= -18
If g(x)=x^2+5x find the value g(-2)+2
Answer:
-4
Step-by-step explanation:
g(-2) = (-2)^2 + 5(-2)
g(-2) = 4 - 10
g(-2) = -6
and
g(-2) + 2
-6 + 2 = -4
Answer:
-4
Step-by-step explanation:
g(x)=x^2+5x
First find g(-2) by letting x=-2
g(-2) = (-2)^2 +5(-2)
= 4 -10
= -6
g(-2) +2 = -6+2 = -4
1. In how many ways can a committee of eight people to be formed from a group of 6 male, 5 female and 4 students if there are no restrictions, as all members are eligible?
Answer:
The number of ways is 6435
Step-by-step explanation:
Given
[tex]Male = 6[/tex]
[tex]Female = 5[/tex]
[tex]Students = 4[/tex]
Required
Number of ways a group of 8 can be formed
Here, I'll assume each category of people are distinct:
Hence;
[tex]Total = Male + Female + Students[/tex]
[tex]Total = 6 + 5 + 4[/tex]
[tex]Total = 15[/tex]
Number of ways is then calculated as follows:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
Where
[tex]n = 15\ and\ r = 8[/tex]
So, we have:
[tex]^{15}C_8 = \frac{15!}{(15 - 8)!8!}[/tex]
[tex]^{15}C_8 = \frac{15!}{7! * 8!}[/tex]
[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9 * 8!}{7!8!}[/tex]
[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7!}[/tex]
[tex]^{15}C_8 = \frac{15 * 14 * 13 * 12 * 11 * 10 * 9}{7 * 6 *5 * 4 * 3 * 2 * 1}[/tex]
[tex]^{15}C_8 = \frac{32432400}{5040}[/tex]
[tex]^{15}C_8 = 6435[/tex]
Hence, the number of ways is 6435
4c-d for c please help!
Answer:
c=d/4
Step-by-step explanation:
we have to get c by itself...first we have to add d t the other side of the equation so
4c=d now since 4 is being multiplied by c we have to divide it out.
c=d/4
I need to change the subject to x
(x - 4y) / w = 9
Multiply both sides by w
x - 4y = 9w
Add 4y to both sides
x = 9w + 4y
A local traffic light is set so that it cycles between 30 seconds of red and 30 seconds of green. What is the probability of randomly hitting a red light more than 25 times in n = 40 trips through the intersection?
Answer: 0.04
Step-by-step explanation:
Number of trips (n) = 40
Red = 30 seconds, Green = 30 seconds
P(red) = p(green) = 30/ (30+30) = 0.5
P(not red) = p(not green) = 1 - 0.5 = 0.5
P(x) = nCx * p^x * (1-p)^(n-x)
n = number of trials
x = number of outcome desired
P = probability of success of desired outcome
P(X > 25) = P(26) + p(27) + p(28) +.... + p(40)
Hence, to save computation time, we use the binomial distribution probability calculator :
P(X > 25) = 0.04
Find the missing number in the sequence
100, 93, 84, 73 45
Answer:
60
Step-by-step explanation:
Form on number to the other there is a difference,and the difference are all odd numbers
From 100 to 93 is 7
From 98 to 84 is 9
From 84 to 73 is 11
From 73 to 45 is 28 this shows that there is a number missing
So from 73 to x should be 13
And from x to 45 should be 15
So 73 -13=60
And 60-15=45
So x is 60
The missing number in the sequence is 60
Given the sequence 100, 93, 84, 73, ... 45
To get the next term, we need to get the common differences as shown:
7, 9, 11,... 15We can see that the common difference forms an AP, hence the missing term in the resulting sequence is 13To get the missing value, we will subtract 13 from 73.
Missing number = 73 - 13
Missing number = 60
Hence the missing number in the sequence is 60
Learn more on sequence here: https://brainly.com/question/24989563
If (7^ 0)=1what are the possible values of x
Answer: I would say that any number
Step-by-step explanation:
I think so because any number to the 0 power is going to be 1.
For example: 6^0=1 21^0=1
Hope it helped!! ;)
Find an equation for the line with the given properties. Express the equation in slope-intercept form.
Slope = 2; containing the point (-8,2)
What is the equation of the line?
y=
(Type your answer in slope-intercept form.)
a well is being dug into the ground. the well needs to reach the depth of 120 feet. a machine can dig down in 12 minutes. what is the change in depth each minute the machine is digging
Answer:
10 feet
Step-by-step explanation:
Explain howto use friendly percents to find 35% of 80
Answer:
28
Step-by-step explanation:
35% × 80 =
(35 ÷ 100) × 80 =
(35 × 80) ÷ 100 =
2,800 ÷ 100 =
28
I hope this helps :)
Answer:
You would have to add two different percents to get to 35. You would need to add 25% and 10%. So, I would divided 80 by 4, which gets me 20, and divided 80 by 10, which gets me 8. If you add 20 and 8 together, that gets you 28. Your answer is 28.
Not sample answer, but correct
3193.55767741 round to the nearest thousand
Answer:
3000
Step-by-step explanation:
Rounding to the nearest thousand implies not writing any significant figure after the digit located in the column of the thousand. In this case, what you have in that column is the number 3 (which is followed by a 1 in the column of the hundreds) so you need to round the number to 3000.
If the number that followed the 3 was 5 or larger, you would have rounded it to 4000.
Answer:
3,000
Step-by-step explanation:
The answer is 3,000 because:
1) The number in the hundreds place is 1, which is less than 5. Therefore, the number in the thousands place stays the same.
2) Whenever you are rounding with decimals, you have to leave the numbers after the decimal point.
Hope this helps!
Population of Olde Town
What is the slope for this scenario?
0-500
0.250
200
Answer:
- 250
Step-by-step explanation:
Pick two points along the line of the graph
(4,7000) and (8,6000)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (6000-7000)/(8-4)
-1000/4
- 250
Answer:
-250
Step-by-step explanation:
Given f(x) = |x| and g(x) = 2x-3. Solve for (f ⚬ g)(x)
Step-by-step explanation:
(f o g)(x)
= f(g(x))
= f(2x - 3)
= |2x - 3|
17. Identify the explicit formula for the arithmetic sequence 12, 14, 16, 18, . . . . options: A) f(n) = 12 + 2(n − 1) B) f(n) = 12 + 2(n + 1) C) f(n) = 2 + 12(n + 1) D) f(n) = 2 + 12(n − 1)
Answer:
A) f(n) = 12 + 2(n-1)
Step-by-step explanation:
Arithmetic Sequence Formula:
a(n) = a(1) + (n-1)d
d = 2
a(1) = 12
a(n) = 12 + 2(n-1)
Answer:
Step-by-step explanation:
A) f(n) = 12 + 2(n-1)
State how many solutions, 3 + 2x + 1 = 2x + 3
Answer:
Step-by-step explanation:
3 + 2x + 1 = 2x + 3
2x + 4 = 2x + 3
4 ≠ 3
no solution
A. B. 4 x +1 x+4 =−3 =−12 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Rewrite one side (or both) using the distributive property (Choice B) B Rewrite one side (or both) by combining like terms (Choice C) C Multiply/divide only one side by a non-zero constant (Choice D) D Multiply/divide both sides by the same non-zero constant 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No
Answer:
D. Multiply/divide both sides by the same non-zero constant
A. Yes
Just Did It On Khan Academy
Step-by-step explanation:
find the domain of the function, picture included
Answer:
[4,∞)
Step-by-step explanation:
x≥4
[4,∞)
ca
7. Consider the equation a-3 =
What value(s) of a make the equation true?
(3)?
3.) Yvonne's hourly wage is raised from $11.09 per hour to $12.35 per hour. She works 40 hours
per week. How much more does she earn per week at the new rate?
Answer: She earns 50.4 much than she did on her other pay per hour.
Step-by-step explanation: First multiply 11.09 by 40, you get 443.6, then multiply 12.35 by 40 you get 494.0, so then you subtract the two total paychecks, and that's how you get the answer 50.4, more money.
Hope this helps. :)
Solve inequalities 5x>2x+6
Answer:
x>2
Step-by-step explanation:
5x>2x+6 Subtract 2x from 5x
3x>6 Divide 3 by 6
x>2
Answer:
B. April
Step-by-step explanation:
The matrix below represents the solution to a system of equations.
Which of the following describes the solution?
Answer: C
Step-by-step explanation:
Twelve more than x is greater than fourteen
Answer:
x > 2
Step-by-step explanation:
12 + x > 14
x > 14 - 12
x > 2
Find the Slope using the Slope Formula 1. (8.6).(2-8)
Answer: 2.3 repeating
Please mark me as Brainliest
8×4-5×(3⅕-2½)+(4-1)²
Answer:
101/2
Step-by-step explanation:
Answer:
75/2
Step-by-step explanation:
Simplify the following:
8×4 - 5 (3 + 1/5 - (2 + 1/2)) + (4 - 1)^2
Put 2 + 1/2 over the common denominator 2. 2 + 1/2 = (2×2)/2 + 1/2:
8×4 - 5 (3 + 1/5 - (2×2)/2 + 1/2) + (4 - 1)^2
2×2 = 4:
8×4 - 5 (3 + 1/5 - (4/2 + 1/2)) + (4 - 1)^2
4/2 + 1/2 = (4 + 1)/2:
8×4 - 5 (3 + 1/5 - (4 + 1)/2) + (4 - 1)^2
4 + 1 = 5:
8×4 - 5 (3 + 1/5 - 5/2) + (4 - 1)^2
Put 3 + 1/5 - 5/2 over the common denominator 10. 3 + 1/5 - 5/2 = (10×3)/10 + 2/10 + (5 (-5))/10:
8×4 - 5(10×3)/10 + 2/10 + (5 (-5))/10 + (4 - 1)^2
10×3 = 30:
8×4 - 5 (30/10 + 2/10 + (5 (-5))/10) + (4 - 1)^2
5 (-5) = -25:
8×4 - 5 (30/10 + 2/10 + (-25)/10) + (4 - 1)^2
30/10 + 2/10 - 25/10 = (30 + 2 - 25)/10:
8×4 - 5(30 + 2 - 25)/10 + (4 - 1)^2
30 + 2 = 32:
8×4 - 5 (32 - 25)/10 + (4 - 1)^2
| 2 | 12
| 3 | 2
- | 2 | 5
| 0 | 7:
8×4 - 5×7/10 + (4 - 1)^2
-5×7/10 = (-5×7)/10:
8×4 + (-5×7)/10 + (4 - 1)^2
The gcd of -5 and 10 is 5, so (-5×7)/10 = ((5 (-1)) 7)/(5×2) = 5/5×(-7)/2 = (-7)/2:
8×4 + (-1×7)/2 + (4 - 1)^2
4 - 1 = 3:
8×4 - 7/2 + 3^2
8×4 = 32:
32 - 7/2 + 3^2
3^2 = 9:
32 - 7/2 + 9
Put 32 - 7/2 + 9 over the common denominator 2. 32 - 7/2 + 9 = (2×32)/2 - 7/2 + (2×9)/2:
(2×32)/2 - 7/2 + (2×9)/2
2×32 = 64:
64/2 - 7/2 + (2×9)/2
2×9 = 18:
64/2 - 7/2 + 18/2
64/2 - 7/2 + 18/2 = (64 - 7 + 18)/2:
(64 - 7 + 18)/2
| 1 |
| 6 | 4
+ | 1 | 8
| 8 | 2:
(82 - 7)/2
| 7 | 12
| 8 | 2
- | | 7
| 7 | 5:
Answer: 75/2