Answer:
The complete question can be found online.
The missing information is:
Carson drove a total distance of 120km, he initially has 30L of fuel on his tank, and his car efficiency is 100 cm^3/km
Remember that 1000cm^3 = 1 L
then:
100cm^3 = 0.1L
This means that he uses 0.1 L per kilometer.
The equation that shows how many liters of fuel he will have is:
initial fuel - consumed fuel.
We know that the initial fuel is 30 liters.
And the consumed fuel will be the amount of fuel he used to drive the 120 km
Remember that for each km, he consumes 0.1 L of fuel.
Then for the 120km he used 120 times 0.1 L of fuel, so he used a total of:
120*0.1 = 12 L of fuel
Then the remaining fuel in the tank is:
30 L - 12 L = 18L
There are 18 L of fuel in the tank.
Answer:
Should be 30-100/1000*120
Step-by-step explanation:
a. 65
b. 67
c. 43
d. 23
In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?
Answer: [tex]\frac{33}{65}[/tex]
Step-by-step explanation:
cosine of ∠T = [tex]\frac{adjacent}{hypotenuse}[/tex]
For ∠T,
Adjacent side = 33Hypotenuse = 65cosine of ∠T = [tex]\frac{33}{65}[/tex]
The value of the trigonometric relation cos ∠T = 0.507
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔTUV
where the measure of ∠UVT = 90°
And , the measure of side UT = 65 units
The measure of VU = 56 units
And , the measure of TV = 33 units
From the trigonometric relations ,
cos θ = adjacent / hypotenuse
On simplifying , we get
cos ∠T = TV / UT
cos ∠T = 33 / 65
cos ∠T = 0.50769
Hence , the trigonometric relation is solved
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what is the point-slope equation of the line with slope -12 that goes through the point (5,3)
Answer:
the correct answer is c
Step-by-step explanation:
because we use formule when we write a equation
a kid eat 5 sunscreen and sally eat seven sunscreen how much sunscreen was eat by both
Answer:
Both ate 12 sunscreens all together
5 + 7 = 12
Srsly tho, like who in their right mind eats sunscreen
1) Find the measure of 0. (imagine that is an x) 2) Then, find the measure of AB. (the length from A to B)
Answer:
θ ≈ 50°, AB ≈ 15.6
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{11.9}{10}[/tex] = 1.19 , then
θ = [tex]tan^{-1}[/tex] (1.19 ) ≈ 50° ( to the nearest degree
-----------------------------------------------------------------
Using the cosine ratio in the right triangle
cos50° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{10}{AB}[/tex] ( multiply both sides by AB )
AB × cos50° = 10 ( divide both sides by cos50° )
AB = [tex]\frac{10}{cos50}[/tex] ≈ 15.6 ( to 1 dec. place )
Find p(0), p(1) and p(2) for the polynomial P(t) = 2 + t + 2t²-t³
p(0)=2
p(1)=2+1+2-1=4
p(2)=2+2+8-8=4
If the ratio of a to b is 2.3 and the ratio
of to bis 3:4, which of the following is
equal to the ratio of a to c.?
Answer:5.7 D
Step-by-step explanation:
Write an algebraic expression for each word phase 9 less than x 6 minus f t multiplied by 6 one half of a number n
Answer:
9 < x
6 - f
t × 6
1/2n
Step-by-step explanation:
Given expressions:
9 less than x
Less than (<)
9 less than x = 9 < x
6 minus f
Minus (-)
= 6 - f
t multiplied by 6
Multiplication (×)
= t × 6
one half of a number n
One half = 1/2
one half of a number n
= 1/2 × n
= 1/2n
= n/2
ax + by = c and mx + ny = d and an # bm then these simultaneous equations have a) Only one common solution. b) No solution. c) Infinite number of solutions. d) Only two solutions.
Answer:
a) Only one common solutionStep-by-step explanation:
The first line has slope of a/b and the second one has slope of m/n.
As an ≠ bm ⇒ a.b ≠ m/n, the slopes are different.
Since the slopes are different the lines are not parallel, hence they intersect at one point.
This means there is one solution only.
ax + by = c and mx + ny = d and an # bm then these simultaneous equations have Only one common solution.
[tex]\sf{ }[/tex] [tex]\sf{ }[/tex]
Use the graph below, find f(10).
6points!!!
Answer:
the answer is a
tell me if it’s rite or wrong I did the work as best as I could
f(10) is undefined.
What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is the graph of a function?"It is the set of points on the coordinate plane which satisfies the given function."
For given question,
We need to find the value of a function at x = 10.
We can observe that, when x = 10, the function value 2 is denoted by an open circle.
This means the function do not have value 2 when x = 10
Therefore, f(10) is undefined.
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9. Determine the volume of concrete needed to build a ramp in the shape of a triangular prism to the nearest tenth of a cubic metre.
Answer:
67.5
Step-by-step explanation:
I've learned this multiple ways but in my opinion this is the easiest. Just times everything together so, 40 x 2.5 x 1.2 which equals 135 and then divide 135 by 2 which equals your answer of 67.5 which is rounded to the nearestt tenth already.
A rectangular piece of paper has an area of ⅓ square meter. If the length of the paper is ⅗ meter, what is the breadth of the paper?
Answer: [tex]\frac{5}{9}\ m[/tex]
Step-by-step explanation:
Given
Area of the rectangular piece of paper is [tex]A=\frac{1}{3}\ m^2[/tex]
Length of the paper is [tex]l=\frac{3}{5}\ m[/tex]
Suppose width of the paper is [tex]w[/tex]
Area is the multiplication of length and width
[tex]\therefore A=lw\\\\\Rightarrow \dfrac{1}{3}=\dfrac{3}{5}\times w\\\\\Rightarrow w=\dfrac{5}{9}\ m[/tex]
Thus, the width of the paper is [tex]\frac{5}{9}\ m[/tex]
7. State the type of system of equations.
y + 5x = 6
5y + 25x = 80
Step-by-step explanation:
the systems of equations shown are parallel because they have the same slope
Max can travel 100 miles in 2 hours. At this rate, how many hours will it take him to travel 650 miles?
HELPPP SOMEONE PLEASSSSE
Answer:
c. -x -y = 5
Step-by-step explanation:
parallel means same x
4. If carbon was the most common element found in the moons and planets, what element is missing that would make them similar to Earth? Explain why. (Hint: Think about the carbon cycle.)
Oxygen
Step-by-step explanation:
That's what I think
You have a large container of castor oil. You have used 34 quarts of oil.
Fifteen percent of the castor oil remains. How many quarts of castor oil
remain?
co
=====================================================
Explanation:
x = original amount of caster oil (in quarts)
Since 15% remains, this means you used 85% of the original amount x.
Note how 15% + 85% = 100%
So,
85% of x = 34 quarts
0.85x = 34
x = 34/0.85
x = 40
You started with 40 quarts of oil.
15% of that remains, meaning 0.15*40 = 6 quarts of oil are left over.
-----------
We could also solve like this
(amount used)/(amount total) = (percent)/(100)
34/x = 85/100
34*100 = x*85
3400 = 85x
85x = 3400
x = 3400/85
x = 40
So we end up with the same x value as before, and we follow the same set of steps at the end of the first section to end up with the answer of 6 quarts.
Work out the height of this triangle with base, b = 8mm and
area, A = 218.8mm?,
Answer:
54.7 mm
Step-by-step explanation:
use the formula area= 1/2 base time height
A=1/2bh
Answer:
54.7mm
Step-by-step explanation:
Area=1/2b×h
218.8=0.5×8×h
218.8=4h
h=218.8÷4
h=54.7
If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be
7
18
11
0
Answer:
please mark me brainlist
Step-by-step explanation:
Find the lateral surface area of this
cylinder. Round to the nearest tenth.
r = 5 cm
5 cm
LSA = [ ? ] cm2
Enter
Answer:
[tex]A=157.07\ cm^2[/tex]
Step-by-step explanation:
Given that,
The radius of a cylinder, r = 5 cm
Height of the cylinder, h = 5 cm
We need to find the lateral surface area of the cylinder. The formula for the lateral surface area of the cylinder is given by :
[tex]A=2\pi r h[/tex]
Put all the values,
[tex]A=2\pi\times 5\times 5\\\\=157.07\ cm^2[/tex]
So, the lateral surface area of the cylinder is [tex]157.07\ cm^2[/tex].
Are the two triangles similar. If so, State how
Answer:
Yes by AAA
Step-by-step explanation:
Angle A is the same for both triangles. Angle D is congruent to Angle A since BC and DE are parallel lines and same with angle E. So by AAA the triangles are similar
what percent of 98 million is 7740
Answer:
Step-by-step explanation:
x : 100 = 7740 : 98 000 000
x = (7740 * 100)/98 000 000
x = 0.007898 %
A percentage is a hundredth of a number Then [tex]\displaystyle\bf \frac{7740}{98\cdot10^6} \cdot100=\frac{387}{49000} \approx 0,00789\%[/tex]
A farmer in China discovers a mammal
hide that contains 37% of its original
amount of C-14.
N = Noekt
No = inital amount of C-14 (at time
t=0)
N = amount of C-14 at time t
k= 0.0001
t = time, in years
Answer:
Step-by-step explanation:
I'm going to take a giant leap here and guess that you are looking for how old this mammal hide is. At least that's what I'm going to work out for you. Filling in the formula is relatively easy as long as we remember that the initial amount of hide was 100%:
[tex]37=100e^{-.0001t}[/tex] and begin by dividing both sides by 100 to get
[tex].37=e^{-.0001t}[/tex] In order to get that t down from its current position, we have to take the natural log of both sides. The reason we do natural log as opposed to common log is because the natural log will cancel out the e:
[tex]ln(.37)=ln(e^{-.0001t})[/tex] and again, because the log cancels out the e we have:
ln(.37) = -.0001t and divide both sides by -.0001 to get
t = 9942.5 years
Answer:
answer is 9943
Step-by-step explanation:
Simplify the radical (180°.
Answer:
radical is sqrt we find 180 sqrt root
Step-by-step explanation:
first we write sqrt 180
sqrt 180 = ?
we can choose first two letters
18 are two letters
4^2 + 2 = 18
so first + third number choose
4 , 2 are number choose
4 + 2 sqrt (4+2-1)
6 sqrt 5
sqrt 180 = 6sqrt 5
is dilated to become LaTeX: g\left(x\right)=\frac{1}{3}\cdot4^x. What is the specific effect on LaTeX: f\left(x\right)
Answer:
f(x) is shrinked
Step-by-step explanation:
Given
[tex]f(x) = 4^x[/tex]
[tex]g\left(x\right)=\frac{1}{3}\cdot4^x[/tex]
Required
The effect of dilation on f(x)
From the given parameters, we have:
[tex]f(x) = 4^x[/tex]
[tex]g\left(x\right)=\frac{1}{3}\cdot4^x[/tex]
On a general term;
[tex]g(x) = k * f(x)[/tex]
So by comparison:
[tex]k = \frac{1}{3}[/tex]
When scale of dilation is less than 1, it means the function is reduced. Hence, the specific effect on f(x) is shrink
plz help ASAP with explanation
Answer:
Kindly check attached picture
Step-by-step explanation:
Based d on the instruction given.
1.)
-3 * 6 = 18
6 * - 2 = - 12
-3 * - 2 = 6
2.)
We use logical reasoning to find 2 numbers whichbwhen multiplied gives the number in the box in between :
The answers are given in the picture attached.
If the volume of a sphere is 36t cubic units, what is the radius?
Answer:
Volume of sphere = 4/3 * π * r³
Since 36π = 4/3 * π * r³, r³ = 27 and r = 3.
Step-by-step explanation:
Which inequality is true?
A.
|-15| > |-19|
B.
|-16| < |13|
C.
|-15| > |12|
D.
|12| < |-8|
E.
|-19| > |-20|
Answer:
I don't know I don't know about question
A cost of a washing machine is 70 percent the cost of a dishwasher .Both cost 3400 dollars .What is the cost of the dishwasher.
Answer:
2000
Step-by-step explanation:
set up equation
.7x+x=3400
combine like terms
1.7x=3400
divide by 1.7 on both sides
x=2000