In XYZ, a right angled triangle, Z=90 degrees. Given that X=58 degrees, and XZ is 4.9m, find the length of XY
Answers
Answer:
XY ≈ 9.2 m
Step-by-step explanation:
using the cosine ratio in the right triangle
cos58° = =
=
( multiply both sides by XY )
XY × cos58° = 4.9 ( divide both sides by cos58° )
XY = ≈ 9.2 m ( to the nearest tenth )
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Given the position function, s of t equals t cubed divided by 3 minus 12 times t squared divided by 2 plus 36 times t , between t = 0 and t = 15, where s is given in feet and t is measured in seconds, find the interval in seconds where the particle is moving to the right. (5 points)0 < t < 65 < t < 15t > 15The particle always moves to the right.
Answers
then we make a proportion and solve 99.99 multiply by 100 and divide by 35,
then we get the original price $285,7
maybe I have a mistake)
Answers
Answer
To solve this system of linear equations, we can use the method of substitution.
First, let's solve the first equation for x:
x = 34 - y - z
Now, we substitute this value of x into the second equation:
1(34 - y - z) + 10y + 5z = 100
34 - y - z + 10y + 5z = 100
34 + 9y + 4z = 100
Next, we simplify the second equation:
9y + 4z = 100 - 34
9y + 4z = 66
We can rewrite this equation as:
9y = 66 - 4z
y = (66 - 4z) / 9
Now, we substitute this value of y back into the first equation:
x + (66 - 4z) / 9 + z = 34
Multiplying through by 9 to eliminate the fraction:
9x + 66 - 4z + 9z = 306
9x + 5z = 240
Now we have a system of two equations in two variables:
9x + 5z = 240
9y + 4z = 66
We can solve this using the method of substitution or elimination. Let's use the method of elimination:
Multiplying the first equation by 4 and the second equation by 5, we get:
36x + 20z = 960
45y + 20z = 330
Subtracting the second equation from the first, we eliminate z:
36x - 45y = 630
We can simplify this equation by dividing through by 9:
4x - 5y = 70
Now, let's solve the new system of equations:
4x - 5y = 70
9y + 4z = 66
We can multiply the first equation by 9 and the second equation by 4 to eliminate x:
36x - 45y = 630
36y + 16z = 264
Now, subtracting the first equation from the second, we eliminate y:
36y + 16z - 36x + 45y = 264 - 630
81y + 16z = -366
Dividing through by 3, we get:
27y + 16z = -122
Now, we have a system of two equations in two variables:
4x - 5y = 70
27y + 16z = -122
We can solve this system using the method of substitution or elimination.
Answers
Answer:
165.90 pounds
Step-by-step explanation:
Answer:
165.90
Step-by-step explanation:
Answers
'of' in mathematics means multiplication
percent means over 100
32 = 40% * x
32 = 40/100 * x
32 = 4/10 * x
Multiply 10/4 on both sides, so we can isolate 'x'
32 * 10/4 = x
x = 8 * 10
x = 80
32 is 40 percent of 80.
Option 3: $12 down with equal payments of $5 for 12 months
Option 4: $20 down with equal payments of $20 for 12 months
(A.) Option 3
B. Option 1
C. Option 2
D. Option 4
Answers
Answer:
Option 3
Explanation:
To get the value of the cheapest bike, best option, we will calculate the total cost of each bike:
i- Option 1:
Total cost = $88
ii- Option 2:
$5 down payment and $8 per week for 10 weeks
Total cost = 5 + 8(10) = 5 + 80 = $85
iii- Option 3:
$12 down payment and $5 per month for 12 months
Total cost = 12 + 5(12) = 12 + 60 = $72
iv- Option 4:
$20 down payment and $20 per month for 12 months
Total cost = 20 + 20(12) = 20 + 240 = $260
Now, from the above calculations, we can conclude that:
The best price would be that of option 3 ($72). It is the lowest price compared to other option.
Hope this helps :)
Answer:
The answer is option 3
Step-by-step explanation: