Answer:
Step-by-step explanation:
40/30=409
Find the Constant of proportionality of Henderson Toll Road Cost
The constant of proportionality is equal to 3/10.
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship refers to a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y represents the miles traveled.x represents the cost ($).k is the constant of proportionality.Next, we would determine the constant of proportionality (k) by using various data points as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 3/10 = 6/20 = 9/30
Constant of proportionality, k = 3/10.
Therefore, the required linear equation is given by;
y = kx
y = 3/10(x)
Read more on proportional relationship here: brainly.com/question/28350476
#SPJ1
NEED HELP PLS! 25 POINTS
The ceiling of Stacy's living room is a square that is 30 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 30 ft, but she doesn't know how long it is.
Solve for the length of the diagonal of Stacy's ceiling in two ways:
(a) Using the Pythagorean Theorem.
(b) Using trigonometry.
Round each answer to the nearest whole number and make sure to show all your work. (Hint: the answers should be the same!)
Answer:
⬆️ I'm typing random stuff for the 20 letters the answer is the image
Can anyone do this without seeing the whole thing?
Answer:
It is the first graph that is shown on the screen
Which of the expressions are equivalent to the one below check all the apply (12 + 3) ÷ 5
The expression is equivalent to the expression (12 + 3) ÷ 5 is (3 + 12) ÷ 5
Which of the expressions are equivalent to the expressionFrom the question, we have the following parameters that can be used in our computation:
(12 + 3) ÷ 5
The above expression is a quotient expression
However, we can apply some algebraic properties
Take for instance;
12 + 3 can be expressed as 3 + 12
So, we have
(12 + 3) ÷ 5 = (3 + 12) ÷ 5
Hence, the expression is equivalent to the expression is (3 + 12) ÷ 5
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
64° 42 °
xº
48°
Find the value of x
Discuss measures that can be taken to develop the spirit of hard work
Is an acute triangle less than 90 degrees?
Yes, an acute triangle less than 90 degrees
what is acute triangle?
An acute angled triangle is one in which all of the angles are fewer than 90 degrees. One such illustration of an acute angled triangle is the one below.
Hence the triangle less than 90 degrees is acute angle
To learn more about acute angle from the given link
https://brainly.com/question/6979153
#SPJ4
A right rectangular prism has a length of 15 cm width of 10 cm and a height of 5 cm savanna claims that doubling the length width and height of the prism will double its surface area is Savannah, correct?
No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.
What is surface area?Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.
The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.
For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:
Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2
Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:
Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2
As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).
In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.
To know more about surface area click-
http://brainly.com/question/16519513
#SPJ1
No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.
What is surface area?Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.
The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.
For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:
Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2
Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:
Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2
As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).
In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.
To know more about surface area click-
http://brainly.com/question/16519513
#SPJ1
Jared took a math test. He got 90%. There were 30 problems. How many did he get right?
You want to survey people about their favorite types of art. Which is the better place to get a random sample?
A) outside an art museum
B) in the modern art section of an art museum
Answer:
B) in the modern art section of an art museum
Step-by-step explanation:
Hope it helps! =D
A restaurant owner mixed the juices of 7 lemons with every 3 oranges to make a special drink
Which ratio of lemons to oranges will make the same drink?
a:28:15
b:42:21
c:21:9
d:15:35
Answer:
C, 21:19
Step-by-step explanation:
This is because we know that 21 divided by 7 is 3, so we would have to make sure that we are multiplying 7:3 by 3, which we are because 7 times 3 = 21 and 3 times 3 = 9.
Label the triangle sides, assuming the angle of interest is the 30-degree angle:
solve for
The side with x is the
blank side.
The side with y is the
NO SPAM I WILL REPORT YOU
blank side.
The side with 17 is the blank side
Check the picture below.
Name the acute angles in this figure. Choose all that apply.
HEJ
DEH
HEK
DEK
HEF
DEJ
JEK
DEF
KEF
JEF
Answer:
HEJ
DEH
JEK
KEF
Answer:
HEJ
DEH
JEK
KEF
i think
pleas
HELP IMMEDIATELY
Answer:
144ft^3
Step-by-step explanation:
To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism
Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)
\(V=\frac{1}{2} (36)(8)\)
\(V=(18)(8)\)
\(V=144\)
Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)
could anyone help me solve this?
Step-by-step explanation:
The body reverses direction whenever we go from Positve velocity to negative velocity or vice versa.
So here it is (2,7) exclusive then (7,10) exclusive.
A constant speed means a slope of 0. Here it is (3,6).
c. Since speed is non negative, we would reflect any part of the velocity function that is below the time.axis about the time axis
So we would get
Above is the function, don't worry bout the math part.
D. Knowing that acceleration is the derivative of velocity with respect to time, the derivative of any linear function is the slope of that linear function. So if we find the slope of different paths, we will get a constant and then we can graph it
We must use the original graph because acceleration is a vector meaning it can be negative.
We would get
the second graph is acceleration vs time
7/8+1/3 in simplest form
Answer:
\( \frac{7}{8} + \frac{1}{3} = \frac{21 + 8}{24} = \frac{29}{24} \)
Please help!! Correct answer gets brainliest!!
Answer:
Step-by-step explanation:
it a it the one that makes the most sense
(c)yz dx + xz dy + xy dz, where c consists of straight-line segments joining (1, 0, 0) to (0, 1, 0) to (0, 0, 1) (d) x2 dx-xy dy + dz, where c is the parabola z = x2, y = 0 from (-1, 0, 1) to (1, 0, 1)
The value of the line integral is 1/2.
To evaluate this line integral, we need to parameterize the curve C that consists of straight-line segments joining (1, 0, 0) to (0, 1, 0) to (0, 0, 1).
Let's parameterize the first segment from (1,0,0) to (0,1,0) using t as the parameter
r(t) = (1-t) * <1,0,0> + t * <0,1,0>
= <1-t, t, 0>
where 0 ≤ t ≤ 1.
Now, let's parameterize the second segment from (0,1,0) to (0,0,1) using s as the parameter
r(s) = (1-s) * <0,1,0> + s * <0,0,1>
= <0, 1-s, s>
where 0 ≤ s ≤ 1.
We can then use the parameterization of C to evaluate the line integral:
∫_c yz dx + xz dy + xy dz
= ∫_0^1 yz dx/dt dt + xz dy/dt dt + xy dz/ds ds
= ∫_0^1 (t(1-t)) 0 dt + ((1-t)t) 0 dt + ((1-t)t) ds
= ∫_0^1 (1-t)t ds
= 1/2
Learn more about line integral here
brainly.com/question/12440198
#SPJ4
The given question is incomplete, the complete question is:
∫_c yz dx + xz dy + xy dz, where c consists of straight-line segments joining (1, 0, 0) to (0, 1, 0) to (0, 0, 1) Evaluate Line Integrals
IM SO DESPERATE !!!!!!!!!
Answer:
3) sin B = 5/√89
cos B = 5/√89
tan B = 5/8
4) Set your calculator to degree mode.
cos A = 47/61
A = 40°
5) Set your calculator to degree mode.
tan(28°) = 21/x
x•tan(28°) = 21
x = 21/tan(28°) = 39.5 mm
Find x in this 45°-45°-90° triangle.
22
45
X =
Step-by-step explanation:
45 and 22 multiplied would be your answer
Fraction that less then 5/6 dominater is 8
Answer:
1/8, 2/8, 3/8, 4/8, 5/8, 6/8
Step-by-step explanation:
If i have interpreted correct. You want to know a fraction with a denonminator of 8 that is less than 5/6
5/6=0.8333
Multiple Answers
1/8, 2/8, 3/8, 4/8, 5/8, 6/8
At the candle factory, 10 out of 100 produced candles in the sample are defective. Find a point estimate of the probability that a fault free candle is produced.
Answer:
p=0.9
Step-by-step explanation:
Total Sample of Candles =100
Number of defective Candles = 10
Therefore, the number of fault-free candles =100-10=90
A point estimate of the probability that a fault-free candle is produced is:
\(p=\dfrac{90}{100}\\\\ p=0.9\)
Answer:
thank u
Step-by-step explanation:
solve for y : 3x-2y+12>0
Answer:
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
\(y < \frac{3x}{2} +6\)
What is the distance between the points (2, 3) and (5, -4)?
7.6 units
6.3 units
3.7 units
10 units
Answer:
7.6 units
Step-by-step explanation:
d=(5−2)2+(−4−3)2−−−−−−−−−−−−−−−−√
d=(3)2+(−7)2−−−−−−−−−−√
d=9+49−−−−−√
d=5–√8
d=7.615773
A wet sock is stuck onto the inner wall of a washing machine drum as it rotates at a steady speed the graph shows the sock displacement y, in inches, from the center of the drum, for a given number of seconds, X what is the diameter of the washing machine drum?
The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.
How to determine the diameter of the washing machine's drum?To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;
V = fλ
where
V = displacement/time
F = 1/T
But;
Displacement = 10 in
Time = 2 seconds
V = 10/2 = 5 in/s
F = 1/2 = 0.5
λ = 5/0.5 = 2.5in
Learn more about diameter here:
https://brainly.com/question/28162977
#SPJ1
(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
find the domain and range of each f(x)^ * = 1 + x ^ 2
The function f(x)* = 1 + x^2 is defined for all real numbers x, so the domain is all real numbers, or (-∞, ∞).
How to explain the domainIn determining the function's output values, one must consider its collection of feasible results to extract the range. Reviewing f(x)* exhibits a minimum value of 1 due to x^2 being perpetually non-negative, while adding another factor merely preserves positivity.
Concurrently as x skyrockets, so too does the value of f(x)* given that approaching infinity generates infinitely larger powers than any constant coefficient subordinated by it. Consequently, the overall range of f(x)* becomes [1, ∞), enwrapping all feasible solutions equivalent or superior to 1.
Learn more about domain on
https://brainly.com/question/26098895
#SPJ1
18 ABCDEFGH is a cuboid. AB= 7.3 cm CH= 8.1 cm Angle BCA = 48° F A E D G B Find the size of the angle between AH and the plane ABCD Give your answer correct to 1 decimal place. H C (Total for Question 18 is 4 marks)
The size of the angle between AH and the plane ABCD is approximately 74.4°, rounded to one decimal place.
To find the size of the angle between AH and the plane ABCD in the given cuboid, we can use the concept of three-dimensional geometry.
First, let's consider the right triangle BCA. The given angle BCA is 48°, and we know that the length of AB is 7.3 cm. Using trigonometric functions, we can find the length of BC:
BC = AB * sin(BCA)
BC = 7.3 * sin(48°)
BC ≈ 5.429 cm
Now, let's look at the right triangle BAH. The length of AH is given as 8.1 cm. We can find the length of BH by subtracting BC from AB:
BH = AB - BC
BH ≈ 7.3 - 5.429
BH ≈ 1.871 cm
Next, let's consider the right triangle ABH. We want to find the angle BAH, which is the complement of the angle between AH and the plane ABCD. We can use the cosine function to find the angle BAH:
cos(BAH) = BH / AH
cos(BAH) ≈ 1.871 / 8.1
BAH ≈ arccos(1.871 / 8.1)
BAH ≈ 74.4°
For more such questions on angle
https://brainly.com/question/31615777
#SPJ8
I really need help! Brainliest awarded to correct answer
:))
Answer:
Can you be more specific on this question?
Step-by-step explanation:
Which is greater 3/10 or 3/100
Answer:
3/10ths is bigger
Step-by-step explanation:
2+2 what is da answer ill gib bralniest
Answer:
4
Step-by-step explanation:
2+2=4
Answer:
Step-by-step explanation:
4