The train travel 270 Km in 3 hours.
What is speed- distance?Speed = Distance/Time Distance = Speed X TimeTime = Distance / SpeedGiven:
Distance = 165 Km
Time= 1 hour 50 min
= 1 5/6 hour = 11/6 hour
So, speed= distance/ time
speed = 165 / (11/6)
= 165 x 6/11
= 15 x 6
= 90 Km/ h
Then, In three hour the train travels
Distance= 90 x 3
Distance= 2700 Km
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The recommended daily intake of vitamin C for males 18 years and older is 90 milligrams. If an 18 year-old male has already consumed 36 milligrams of vitamin C, what percentage of the daily recommended amount has he already consumed?
Answer:
40%
Step-by-step explanation:
who is correct Alex or sophia and why?
Answer:
alex
Step-by-step explanation:
given that ABCD is a parallelogram, find each of the following
AB
AD
< A
< D
Answer:
AB = 8
AD = 10
<A = 118
<D = 62
Step-by-step explanation:
1. AB
Because opposite sides in a parallelogram are equal, DC = AB = 8.
2. AD
Because opposite sides in a parallelogram are equal, BC = AD = 10.
3. <A
Adjacent angles are supplementary in a parallelogram, so A = 180 - 62 = 118
4. <D
Opposite angles are equal in a parallelogram, so B = D = 62
Answer:
AB = 8
AD = 10
m∠A = 28°
m∠D = 62°
Step-by-step explanation:
A few facts to remember about a parallelogram.
1. Opposites sides are congruent
2. Opposites angles are congruent
3. Consecutive angles are complementary
So, AB = 8, AD = 10, m∠A = 90 - 62 = 28°, m∠D = 62°
Seth missed the due date for his credit card payment. His credit card company will
charge him $20 and an APR of 27%. What is the amount of interest he would have to
pay at the 27% APR?
messed up and didnt put the attachment on the last post
Answer :-
9(3+√3) feet
Step by step explanation :-
A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .
Now here the other angle will be = (90°-30°)=60° .
In ∆ABC ,
=> sin 30 ° = AB / AC
=> 1/2 = AB / 18ft
=> AB = 18ft/2
=> AB = 9ft .
Again In ∆ ABC ,
=> cos 30° = BC / AC
=> √3/2 = BC / 18ft
=> BC = 18 * √3/2 ft
=> BC = 9√3 ft .
Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .
Hence the perimeter of the triangular pathway shown is 9 ( 3 + √3 ) ft .Find the length of side x in simplest radical from with a rational denominator.
Answer:
4
Step-by-step explanation:
The value of the hypotenuse x will be equal to √6.
What are trigonometric identities?Equations involving trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities. The Pythagorean Theorem serves as the basis for some of the most popular trigonometric identities, including.
The study of correlations between triangles' side lengths and angles is known as trigonometry.
Given that the angles are 45 and the base is √3 the hypotenuse will be calculated as,
cosθ = Base / Hypotenuse
cos45 = √3 / x
x = √3 / ( 1 / √2)
x = √6
Therefore, the value of the hypotenuse x will be equal to √6.
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Amelia builds and sells birdhouses. The difference between the amount she sells each birdhouse for and the cost of supplies to build each birdhouse is $20. Amelia also spends $45 on tools to build birdhouses. Which equation can Amelia use to calculate the amount of money (m), in dollars, she earns from selling b birdhouses?
Answer:
[tex]m= 20b-45[/tex]
Step-by-step explanation:
Given data
The difference between the amount she sells each birdhouse for and the cost of supplies to build each birdhouse is $20
This means that her profit = $20
the number of birdhouses = b
cost of tools= $45
Hence the amount she earns from selling b houses is given as
[tex]m= 20b-45[/tex]
2 inches = 5 ft find the actual length...pls help Asap
Answer:
if the drawing length is 5 inches, the actual length in feet would be 12.5 ft
Step-by-step explanation:
2 inches = 5 ft
1 inch = 2.5 ft
5*2.5=12.5 ft as final answer.
hope it helps
Simplify, must end in positive exponent :)
Answer:
b^4
Step-by-step explanation:
have a good day
Step-by-step explanation:
[tex] \frac{ ({b}^{8}) (b)}{(b)^{5} } \\ = \frac{ {b}^{8 + 1} }{ {b}^{5} } \\ = \frac{ {b}^{9} }{ {b}^{5} } \\ = {b}^{9 - 5} \\ = {b}^{4} [/tex]
Hope it will help :)
h(x) = x²- 5x + 7
a). h(2)
b).h(-5)
c). h(-8)
Find the length of AB.
140°/6 in
19%
AB = [ ? ]in
B
Round your answer to the nearest hundredth.
Answer: 14.66 in
Step-by-step explanation:
what is 33493.33333 rounded to the nearest tenth?
Answer:
33493.33
Step-by-step explanation:
Which set of ordered pairs represent y as a function of x?
a) {(-5,3) (6,2) (8,-9) (-5,4)}
b) {(9,4) (8,4) (9,5) (8,5)}
c) {(6,8) (7,8) (8,8) (9,9)}
d) {(-7,4) (-7,5) (-7,10) (-7,6)}
Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Step-by-step explanation:
Answer with Explanation:
To qualify as a function, each x value may not have more than 1 Y value.
This rules out A, B, and D.
The answer is C.
Why is A incorrect? -5 (the x value) has more than one y value so it is wrong.
Why is B incorrect? 9 (the x value) has more than one y value so it is wrong.
Why is D incorrect? -7 (the x value) has more than one y value so it is wrong.
You can also use the vertical line test to graph these pairs. Then, test by drawing a vertical line through the graph. If the vertical line goes through more than 1 pair, it is not a function.
Andy is buying a car.
He negotiated a 7% decrease on a £6 500 car.
He will pay the full balance in 12 equal monthly payments.
Calculate the amount paid each month.
Answer:
£503.75
Step-by-step explanation:
Andy is buying a car.
Step 1
We calculate the decrease
He negotiated a 7% decrease on a £6 500 car.
Decrease = 7% × £6500
= $455
Step 2
We calculate the new price of the car.
= Old price - Decrease
= £6500 - £455
= £6045
Step 3
We calculate the amount he pays every month.
We are told that:
He will pay the full balance in 12 equal monthly payments.
Andy's monthly payments =
New price/12 months
= £6045/12
= £503.75
Therefore, the amount he would be paying each new month = £503.75
A woman has 31 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 5.65, how many dimes and how many quarters does she have?
Answer:
14 dimes and 17 quarters
Step-by-step explanation:
d and q are the number of dimes and quarters, respectively.
"31 coins, all of which are dimes and quarters."
d+q = 31
d = 31-q
"the value of the coins is $5.65"
0.10d + 0.25q = 5.65
substitution
0.10(31-q) + 0.25q = 5.65
3.10-0.10q + 0.25q = 5.65
0.15q = 2.55
q = 17
d = 31-q = 14
14 dimes and 17 quarters
What is the output of this function when the input is -2?
Examine the figure below. If ABC is similar to the DEF, determine the measure of
Answer:
22 degrees is the answer
Step-by-step explanation:
Find the slope of the line that passes through: (2, 4) and (6, 12)
Answer: i dont know the answer bc i dont have the graph.
Step-by-step explanation:
but if you follow the line they should give you to in between
the two points you should find the answer. i hope this helped some what.
I need help please❤️❤️❤️❤️
Answer:
x = 5
Step-by-step explanation:
the supplementary angle of (19x-18) = 180 - (19x-18) = 198-19x
all interior angles of a triangle = 180 degrees
180 = (7x+1) + (10x-9) + (198-19x)
180 = 7x+10X-19x+1-9+198
180 = -2x+190
-2x = -10
x = 5
help plz I dont remember how to solve these
Answer:
uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
12.56 inches²
Step-by-step explanation:
Area = π × r²
A = π × 2²
A = π × 4
A = 4(3.14)
A = 12.56
Use the diagram and the information given to find the indicated measure:
1. ZX is the perpendicular axis of WY, yYZ = 13.75. Find the value of WZ.
2. ZX is the perpendicular axis of WY,
WZ = 4n − 13, and YZ = n + 17. Find the value of
AND Z.
3. Find the value of WX when
W Z = 20.5, W Y = 14.8, and Y Z = 20.5
x 1 у 3 4 6. 516
What is R
Answer:
the question is not correct. please rewrite the question.
A science fair has 180 entries. There
are 72 entries from sixth grade
students.
Answer:
40%
Step-by-step explanation:
Total entries= 180
Entries from 6th grade= 72
Percentage = 72/ 180 x 100= 40%
Hope its right!!!
If x = 9 units, y = 3 units, and h = 7 units, find the area of the rhombus shown above using decomposition. A. 21 square units B. 13 square units C. 72 square units D. 63 square units
Answer:
63 square units
Step-by-step explanation:
Area of the rhombus = Base × Height
Given
Base = x = 9unit
Height = h = 7units
Substitute into the formula
Area of the rhombus = 9×7
Area = 63units²
Hence the required area of the rhombus is 63 square units
is it a, b, c, or d?
Answer:
The answer is B. 4,7.5,8
Step-by-step explanation:
Becouse A and C Both of them is Right-angled triangle and D is Obtuse triangle
Lee bought a light bulb online. It cost $1 plus 10% shipping and handling. What was the total cost?
Find the coordinated points which quadrasects the line segments joining the points A(-3,6) and B (4,-2)
Answer:
The coordinated points which quadrasects the line segments joining the points A and B are [tex]\left(-\frac{5}{4},4\right)[/tex], [tex]\left(\frac{1}{2}, 2 \right)[/tex] and [tex]\left(\frac{9}{4},0 \right)[/tex].
Step-by-step explanation:
Let [tex]A(x,y) =(-3,6)[/tex] and [tex]B(x,y) = (4,-2)[/tex], when the line segment is quadrasected, it means that segment is divided into four equal parts. The locations are determined by the following expressions:
[tex]\vec R_{1} = \vec A + \frac{1}{4}\cdot \overrightarrow{AB}[/tex] (1)
[tex]\vec R_{2} = \vec A + \frac{1}{2}\cdot \overrightarrow{AB}[/tex] (2)
[tex]\vec R_{3} = \vec A + \frac{3}{4}\cdot \overrightarrow{AB}[/tex] (3)
Where:
[tex]\overrightarrow{AB} = B(x,y)-A(x,y)[/tex]
[tex]\overrightarrow{AB} = (4,-2) - (-3,6)[/tex]
[tex]\overrightarrow{AB} = (7,-8)[/tex]
The coordinated points which quadrasects the line segments joining the points A and B are, respectively:
[tex]\vec R_{1} = (-3,6)+\frac{1}{4} \cdot (7,-8)[/tex]
[tex]\vec R_{1} = \left(-\frac{5}{4},4\right)[/tex]
[tex]\vec R_{2} = (-3,6)+\frac{1}{2} \cdot (7,-8)[/tex]
[tex]\vec R_{2} = \left(\frac{1}{2},2 \right)[/tex]
[tex]\vec R_{3} = (-3,6)+\frac{3}{4} \cdot (7,-8)[/tex]
[tex]\vec R_{3} = \left(\frac{9}{4},0\right)[/tex]
The coordinated points which quadrasects the line segments joining the points A and B are [tex]\left(-\frac{5}{4},4\right)[/tex], [tex]\left(\frac{1}{2}, 2 \right)[/tex] and [tex]\left(\frac{9}{4},0 \right)[/tex].
Noralie has a home-based business putting on children’s parties. She charges $45 to design the party and then $5.50 per child. Write a function rule that relates the total cost of the party to the number of children n.
f(n) = 5.5 – 55n
f(n) = 5.5n – 55
f(n) = 5.5 + 45n
f(n) = 45 + 5.5n
Answer:
The answer would be C because n is the number of children and it costs $5.50 per child plus an extra design fee of $45
Step-by-step explanation:
Design = $45
rate per child = $5.50
number of children, x
total cost, f(x) = $5.5x + $45
If x>0 and y=0, Where is the poiny (x,y) located?
Answer:
x-axis
Step-by-step explanation:
y = 0==> x-axis
Answer:
the answer would be x-axis
8. Calculate the final price including tax for a watch that costs $139.99 that is on sale for 20% off.
a) $158.19
b) $111.99
c) $139.99
d) $126.55
Answer:
should be B
Step-by-step explanation:
however tax rate is different in different states sooo