The janitor found that it was leaking at a rate of 13 fl oz per minute How fast was the pipe leaking in gallons per hour?
How many kilometers can the prius travel on 16 liters of gasoline?
Prius can travel up to 4.23 × x kilometers on 16 liters of gasoline.
It is given that Prius runs on gasoline.
We have to find out that how many kilometers it can run if amount of gasoline is 16 liters.
What will be the value of 16 times of a number x ?
The value will be ; 16 × x .
No. of kilometers Prius travels depends on what is the model of Prius . Also quality of roads makes a difference.
∵ 1 liter = 0.264172 gallons
⇒ 16 liters = 16 × 0.264172 = 4.23 gallons
Let's say a Prius travels x kilometers per gallon.
So ; on 16 liters of gasoline , Prius will travel ;
x × 4.23 = 4.23 × x kilometers
Thus , Prius can travel up to 4.23 × x kilometers on 16 liters of gasoline.
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In a circle with an 8-inch radius, a central angle has a measure of 60°. How long is the segment joining the endpoints of the arc cut off by the angle?
Answer:
The length of segment joining the endpoints of the arc is [tex]8\ in[/tex]
Step-by-step explanation:
we know that
In the triangle ABC
see the attached figure to better understand the problem
[tex]AC=BC[/tex] -----> is the radius of the circle
[tex]m<CAB=m<CBA[/tex]
[tex]m<ACB=60\°[/tex] ----> given problem (central angle)
Initially the triangle ABC is an isosceles triangle
Remember that
the sum of the internal angles of triangle must be equal to [tex]180\°[/tex]
For this particular case, the isosceles triangle ABC becomes an equilateral triangle, as the three angles are equal to [tex]60\°[/tex]
The equilateral triangle has three equal sides and tree equal angles
so
[tex]AC=BC=AB[/tex]
Hence
The length of segment joining the endpoints of the arc is [tex]8\ in[/tex]
what number increased by 80% is 90?
10 POINTS!!!!! Which of the following statements is true about 63 and 20?
a.) They are relatively prime.
b.) They have more than one common factor.
c.) They each have a factor of 4.
d.) They are both prime numbers.
The difference between a number and 12 is 20
an angle measures 12 degrees less than 3 times its supplement
find the product (x-y)(6x+4y)
Given tan A = .78 find angle A in degrees. Round your answer to the nearest hundredth.
Answer:
[tex]A\approx 37.95^{\circ}[/tex]
Step-by-step explanation:
We have been given that [tex]\text{tan}(A)=0.78[/tex]. We are asked to find measure of angle A in degrees.
We will inverse tangent to find measure of angle A as:
[tex]A=\text{tan}^{-1}(0.78)[/tex]
[tex]A=37.954230875133^{\circ}[/tex]
Upon rounding our answer to nearest hundredth, we will get:
[tex]A\approx 37.95^{\circ}[/tex]
Therefore, the measure of angle A is approximately 37.95 degrees.
Which of the following values is the 25th percentile?lower quartile, median, upper quartile
Answer:
The value of 25th percentile equals:
lower quartile
Step-by-step explanation:
We have to find the value of the 25th percentile
25th percentile is equal to the lower quartile.
50th percentile is equal to the median.
and 75th percentile is equal to the upper quartile.
Hence, the value of 25th percentile equals:
lower quartile
What is the area of triangle FGH? Round your answer to the nearest tenth of a square centimeter.
Answer: [tex]\text{Area}=9.8\ \text{square centimeter}[/tex]
Step-by-step explanation:
Given: The height of the triangle h= 3.0 cm
The base corresponding to the given height b= 6.5 cm
We know that the area of a triangle is given by :-
[tex]\text{Area}=\frac{1}{2}bh\\\\\Rightarrow\text{Area}=\frac{1}{2}(3)(6.5)\\\\\Rightarrow\text{Area}=\frac{19.5}{2}\\\\\Rightarrow\text{Area}=9.75\approx9.8\ \text{square centimeter}[/tex]
According to the empirical rule, for a distribution that is symmetrical and bell-shaped (in particular, for a normal distribution) approximately how much of the data values will lie within two standard deviations on each side of the mean?
he product of a non-zero rational number and an irrational number can always be written as
a)a fraction.
b)a terminating decimal.
c)a non-repeating, non-terminating decimal.
d)a repeating decimal
Answer with explanation:
⇒Consider a Non Zero Rational Number = 2, 3, [tex]\frac{2}{3}[/tex], 53,....
The decimal Expansion of Rational number is Either terminating or Non Teminating repeating.
⇒ Irrational Number = π, √2,√7,...
The decimal Expansion of Irrational number is Non terminating Non repeating.
⇒Product of a non-zero rational number and an irrational number
=2 ×√2 or 3 × √2 or 3 π
are all Irrational number.
In terms of decimals:
(c)⇒a non-repeating, non-terminating decimal=(Irrational Number)
Option C
If a 70 inch television's diagonal forms a 29° angle with the base of the screen, what is the vertical height (h) of the screen to the nearest inch? 34 in 39 in 51 in 61 in
Answer:
34 inches.
Step-by-step explanation:
What is the range of this function?
Answer:
c) -16 ≤ x < 5
Step-by-step explanation:
The given function is f(x) = -3x + 2 and domain is -1 < x ≤ 6
The maximum value of the domain is 6 and the minimum value of the domain is -1.
To find the range, plugin the maximum and minimum value of the domain.
Plug in x = 6 in the given function, we get
f(6) = -3(6) + 2 = -18 +2 = -16
f(-1) = -3(-1) + 2 = 3 + 2 = 5
So the range is -16 ≤ x < 5
Divide (x^5+15x^4+54x^3-25x^2-75x-42) by x+8
Please show all work
A surveyor measures the angle of elevation to a point on a mountain to be 18 degrees the point on the mountain is horizontally 4 miles away from the surveyor the vertical change in elevation from the point where the surveyor is standing to the point on the mountain is___ miles?
Answer:
1.3 miles
Step-by-step explanation:
Solution:-
- The surveyor stands at a platform that is B = 4 miles and at an elevation of θ = 18 ° away from the point on the mountain.
- We can construct a right triangle from surveyor to the point of observation. To determine the change in height/elevation (H) we will apply the trigonometric relation as follows:
tan ( θ ) = H / B
- Solve for the elevation (H):
H = B*tan ( θ )
H = 4*tan ( 18 )
H = 1.3 miles
- The change in elevation from surveyor to point of observation is H = 1.3 miles.
What is the radius of the circle defined by x^2+2x+y^2+6y-39=0?
What is the following product
Answer:
Option B.[tex]\sqrt[6]{200}[/tex]
Step-by-step explanation:
The given expression is ∛5.√2 and we have to find the product.
In this question ∛5 can be written as [tex]5^{\frac{1}{3} }[/tex] and [tex]\sqrt{2}=2^{\frac{1}{2}}[/tex]
We know to multiply these terms we should have the same powers of both the terms.
Now we will convert these terms to the terms having same powers.
first term [tex]5^{\frac{1}{3}}=5^{(\frac{1}{3}).(\frac{2}{2})}[/tex]
=[tex]5^{\frac{2}{6}}[/tex]
=[tex]25^{\frac{1}{6}}[/tex]
Second term √2 = [tex]2^{\frac{1}{2}}[/tex]
= [tex]2^{(\frac{1}{2}).(\frac{3}{3})}[/tex]
= [tex]2^{\frac{3}{6}}[/tex]
= [tex]8^{\frac{1}{6}}[/tex]
Now we multiply these terms
[tex]25^{\frac{1}{6}}.8^{\frac{1}{6}}[/tex]
= [tex]200^{\frac{1}{6} }[/tex]
Therefore option B is the answer.
The scale on a map is 1cm 7 km. if two cities are 12 cm apart on the map, what is the actual distance between the ctities
A football team loses 3 yards on one play and 6 yards on another play. Write a sum of negative intergers to represent this situation. Find the sum and explain how it is related to the problem.
What is the area of triangle DEF?
Find the first six terms of the sequence. a1 = 1, an = 4 • an-1
I have forgotten how to answer this question
Someone pls help!? I don't get it
Bilal is sharing candy with 6 of his friends. He has 5 over 6 of a bag of candy left after he takes what he wants. What fraction of candy will each of his friends get if he shares equally with them?
_____ of the bag
Jenny and Hanan are collecting clothes for a clothing drive. Hanan collected 1 half as many bags of clothes as Jenny did. If Jenny collected 3 over 4 of a bag of clothes, what portion of a bag of clothes did Hanan collect?
_____bags
Branliest and 30 points
Evaluating expressions
1.x squared when x=3/4
2. x+y when x=11 and y=6.4
3. w-z when w=9.5 and z = 2.8
Help plz fast with this question
90-7 =83 degrees
height = 3 miles
divide 3 by the cos of 83 degrees
3/cos(83) = 24.6165
rounded to nearest mile = 25 miles
How do you solve 3x+4y=12 and 2x=y-6
3x +4y =12
2x = y-6 Rewrite this as y = 2x+6
now replace that for y in the first equation
3x + 4(2x+6) = 12
now do all the calculations:
3x + 8x +24 =12
11x + 24 = 12
11x = -12
x = -12/11 = -1 1/11
now substitute -12/11 for x in the 2nd equation and solve
y = 2x+6
y = 2(-1 1/11) +6
y = 42/11 = 3 9/11
Some facts about powers of ten are shown.
Use what you know about powers of ten to enter numbers that make the equation true.
Enter numbers to write 7.9×10^-6 in standard notation.
The number to write [tex]7.9\times 10^-6[/tex] in standard notation is 0.0000079.
Given that,
The number to write the given equation in standard notation.Based on the above information, the calculation is as follows:
[tex]= 7.9\times 10^-6 = 7.9 \times \frac{1}{1,000,000}[/tex]
= 0.0000079
Therefore we can conclude that the number to write [tex]7.9\times 10^-6[/tex] in standard notation is 0.0000079.
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