The formula for the area of a trapezoid is:
\(A=\frac{1}{2}(b_1+b_2)\cdot h\)where b_1 is the length of one base, b_2 is the length of another base and h is the height.
In this case, we have the following information:
\(\begin{gathered} b_1=3mi \\ b_2=11mi \\ h=3mi \end{gathered}\)then, using these values on the formula, we get:
\(\begin{gathered} A=\frac{1}{2}(3+11)\cdot(3)=\frac{1}{2}(14)(3)=\frac{1}{2}(42)=\frac{42}{2}=21 \\ \Rightarrow A=21mi^2 \end{gathered}\)therefore, the area of the trapezoid is 21 square miles
Please help and answer ASAP please will mark Brainlest
What is the value for x?
Enter your answer in the box.
x =
Answer:
x=45
Step-by-step explanation:
i hope its right good luck :)
i think im wrong
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Please give explanation if possible!
Annual expenses do NOT need to be budgeted for monthly. Don't worry about paying them on time. *
1 point
True
False
Annual expenses need to be budgeted for monthly, therefore the statement is false.
A budget is vital for an individual to plan well. It's important for an individual to budget monthly for annual expenses. This will make it easier for the person to pay.
An annual expense can include house rent, paying for a car, etc. Therefore, it's important for one to plan ahead. Ta essential for one.to pay them on time too.
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If g(x)=f(x-3), then select all the statements that are true.
The value of g(1) is 3 .
The value of g(-1) is 1 .
The value of g(-1) is 8 .
The y-intercept of g(x) is at the point (0,1).
The true statement is The value of g(1) is 3 .
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
g(x)=f(x-3)
When x= 1
g(1) = f(-2)= 3
and, When x= -1
g(1) = f(-2)= -1
Hence, the true statement is The value of g(1) is 3 .
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write an equation in slope intercept form that passes through the given point and is perpendicular to the graph of given equation (1,-2) y=5x+4
The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.
The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.
To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.
The negative reciprocal of 5 is -1/5.
Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:
y - y1 = m(x - x1)
Substituting the values:
y - (-2) = (-1/5)(x - 1)
Simplifying:
y + 2 = (-1/5)(x - 1)
To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:
y + 2 = (-1/5)x + 1/5
Subtracting 2 from both sides:
y = (-1/5)x + 1/5 - 2
Combining the constants:
y = (-1/5)x - 9/5
Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
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Circle all of the sums which
are odd.
11 + 22
42 + 96
55 + 86
Answer:
11+22, and 55+86
Step-by-step explanation:
11+22 = 33 which is odd
55+86 = 141 which is also odd
42+96 = 138 which is EVEN
Even is the opposite
of odd
Find the value of x.
78°
OA7
OB. 8
O C. 5
O D. 1
(12x+18)
Step-by-step explanation:
you can find the answer by vertical opposite angle
if the value of x is computed and it's equal to 78 you will find the answer
78=(12x+18)^
78=(12×5+18)
78=(60+18)
78=78 the problem is solved
may u get branliest please please
1.
Which of these numbers is irrational?
a 27
b
7T
c 16
d
1
Answer:
b
Step-by-step explanation:
pi is never ending; you can't simply pi into a fraction/ratio
A fair number cube is rolled twice. After 500 trials of the experiment, the experimental probability of rolling two 3s is 11/50. What is the difference between the number of expected outcomes and the number of actual outcomes?
What is the volume (in cubic meters) of 10,000 kilometers of water? Enter the value only (no units)
Answer:
10,000,000 cubic meters
For every 1 kilometer it is 1000 meters. Hence 10,000 times 1,000 equals 10,000,000.
Please Help
What is the polar form of -9 square root 3 EndRoot + 9 i?
A. 18(cos(120°) + isin(120°))
B. 18(cos(150°) + isin(150°))
C. 324(cos(120°) + isin(120°))
D. 324(cos(150°) + isin(150°))
Answer:
The correct answer is B) 18(cos(150)+isin(150))
Step-by-step explanation:
Hope this helps!
Which of the following scenarios
is the best way to think about
wires with low resistance?
A. drinking a milkshake out of a long, wide straw
B. drinking a milkshake out of a short, wide
straw
C. drinking a milkshake out of a long, narrow
straw
D. drinking a milkshake out of a short, narrow
straw
The scenarios that best depicts the way to think about wires with low resistance is: drinking a milkshake out of a short and narrow straw. The Option D is correct.
How do you know which wire has the low resistance?Having lower resistance means that less power is converted to heat and lost to the environment, and that more of the supplied power reaches its intended destination. It also implies that the wire and cable will run cooler, and that the power source can be smaller for a given load.
The electrical resistance of a wire is proportional to its length and thickness. Longer wires offer more resistance than shorter wires. If two wires of equal length are used, the thicker wire will have less resistance than the thinner wire.
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The radius of a circle is 17 centimeters. What is the circle's circumference?
Answer:
The circle's circumference is approximately 106.81 centimeters.
Explanation:
The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.
So, for a circle with a radius of 17 centimeters, its circumference can be found by:
C = 2πr
C = 2 x 3.14 x 17
C ≈ 106.81 cm
Therefore, the circumference of the circle is approximately 106.81 centimeters.
The diameter of a cylindrical pipe is 7 ft. If the pipe is 42 ft long, what is it’s volume? Use the value 3.14 for n, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
ANSWER:
1616 ft³
STEP-BY-STEP EXPLANATION:
We have that the formula to determine the volume of the cylinder is as follows:
\(V=\pi r^2\cdot h\)The radius is equivalent to half the diameter, therefore the radius is equal to 3.5 ft (7/2) while the height, in this case, is equivalent to the length, so it is equal to 42 ft. Therefore, we replace each value and calculate the volume, like this:
\(\begin{gathered} V=\left(3.14\right)\left(3.5^2\right)\left(42\right) \\ \\ V=1615.53\cong1616\text{ }ft^3 \end{gathered}\)The volume of the cylindrical pipe is 1616 ft³.
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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If the supply equation is:
Q= -8*P+ 24,
and the demand equation is:
Q= 5*P + 11,
please determine the equilibrium quantity (Q).
Select one
a 1
b. 7
c 16
d. 12
e. 13
Answer:
1
Step-by-step explanation:
Find the area of the following figure:
Please answer I’ll give Brainly
Answer:
138 square centimeters
Step-by-step explanation:
You can find the area by splitting up the shape into pieces and adding it all together, and you get 138 square centimeters.
For what value of Θ is cotΘ undefined?
0°
180°
270°
The value of such that = k * 180, where k is an integer, is the value at which cotangent is undefinable.
Cotangent, or cot, is one of the six standard trigonometric functions. Cotangent of an angle is defined as the ratio of the adjacent side to the opposite side of a right-angled triangle.
The value of cotangent is undefined when the denominator is zero. This implies that cotangent is undefined at angles where the value of sine is zero.
Since the sine function is periodic and has a period of 360 degrees, the values of sine repeat themselves after every 360 degrees.
For this reason, cotangent is undefined at angles such that θ = k * 180, where k is an integer.
That is, cotangent is undefined at 0°, 180°, 360°, and so on. It is also important to note that cotangent is a periodic function, and its values repeat every 180 degrees.
Therefore, cotangent is undefined at 0° + k * 180°, where k is an integer.
To summarize, the value of Θ at which cotangent is undefined is such that θ = k * 180, where k is an integer.
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Find the mode of the data set: 9, 6, 7, 3, 10,9
A. 6
B. 7
C. 8
D. 9
Answer:
the mode is 9 as it occures the most often so it is D
Answer:
9 is the mode of the data set
Consider parallelogram QRST below. Use the information given in the figure to find m
The missing values are
<UTQ = 41 degree
x= 1
<UQT = 47 degree
We have a parallelogram QRST.
We know that the opposite sides of the parallelogram is equal and parallel then
QR || ST
QT || SR
Then, <SRT = <RTQ (<UTQ) (alternate Interior Angle)
<UTQ = 41
Similarly, <UQT = <SRQ = 47
Now, RU = UT
2x + 1= 3
2x = 2
x= 1
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What are the 3 ways to prove triangles are congruent?
The relationship between equality and congruence is established by three key theorems. If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.
What is triangle?In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.
All triangles are contained in a single plane if all geometry is on the Euclidean plane, but in higher-dimensional Euclidean spaces, this is no longer the case.
The definition of the terminology used to classify triangles can be found on the first page of Euclid's Elements, which dates back more than two thousand years. In modern classification, names are either directly transliterated from Euclid's Greek or translated from Latin.
hence, The relationship between equality and congruence is established by three key theorems. If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.
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3g - 7 (7g - 7) + 2 (5g - 6)
Answer:
-36g+37
Step-by-step explanation:
3g-7(7g-7)+2(5g-6) - distribute
3g-49g+49+10g-12 -combine like terms
-36g+37 - solution
is defined broadly as a set of information technology (it) components that are the foundation of an it service
Information technology infrastructure is defined broadly as a set of information technology (it) components that are the foundation of an it service
A collection of information technology elements that constitute the basis of it service is the broad definition of information technology infrastructure. It describes the networks, computers, software, and other technological elements needed to enable the provision of IT services inside a business. This can comprise things like operating systems, databases, routers, switches, storage devices and servers.
It also includes software and equipment needed to administer and monitor these components. Organizations of all sizes must have a dependable and effective IT infrastructure in order to provide their users and clients with high-quality IT services. Organizations may increase productivity by investing in IT infrastructure and making sure it is well-designed, well-maintained, and secure.
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1 1/6 x 7/8 mixed number
The product of the expression 1 1/6 x 7/8 is 49/48
What are fractions?Fractions are defined as parts of a whole number.
The different types of fractions are;
Mixed fractionsSimple fractionsComplex fractionsProper fractionsImproper fractionsFrom the information given, we have the fractions;
1 1/6 x 7/8
convert the mixed fraction to improper fractions, we have;
7/6 × 7/8
Now, multiply both the numerators and denominators, we get;
49/48
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The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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1. What percent of 120 is 18?
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
120 · 15% = 18
I hope this helps!!
can someone please help me
50 points
Answer:.
Step-by-step explanation im not sure
Answer:
Step-by-step explanation:
47.) sin20 = 6/b
b = 6(sin20) = 17.5
c = √6²+17.5² = 18.5
48.) tan61 = y/18
y = 18(tan61) = 32.5
z = √18²+32.5² = 37.1
49.) r = √25²+23² = 34
50). d = √30²+7² = 30.8
51.) sin71 = j/19
j = 19(sin71) = 18
k = √19²-18² = 6.2
52.) y = √4²-1² = √7 = 2.6
53.) sin49 = f/26
f = 26(sin49) = 19.6
h = √26²-19.6² = 17
54.) t = √7²+4² = 8.1
A packaging company conducts a survey for the two new package designs for lunch boxes in a supermarket. The results are as follows: Design1 158.5 138.4 168.1 149.4 145.8 168.7 154.4 162.9 Design2 150.3 155.4 151.6 158.8 151.4 150.8 161.4 157.6 156.8 147.6 a. What is the range of the true (or population) mean of the data in each design for 80% confidence level
Answer:
Design 1: 151.19≤x≤160.37
Design 2: 152.46≤x≤155.88
Step-by-step explanation:
Confidence interval formula is expressed as;
CI = xbar ± Z×σ/√n
xbar is the mean of the sample
σ is the standard deviation
n is the sample size
z is the z score at 80% confidence level
For Design 1:
158.5 138.4 168.1 149.4 145.8 168.7 154.4 162.9
xbar = Sum of the samples/sample size
Sum of samples = 158.5+ 138.4+ 168.1+149.4+ 145.8+ 168.7+ 154.4+ 162.9
Sum of samples = 1246.2
Sample size = 8
xbar = 1246.2/8
xbar = 155.78
Standard deviation
σ = √\sum(x-xbar)²/N
σ = (158.5 - 155.775)² + ... + (162.9 - 155.775)²/8
= 821.075/8
= 102.634375
= √102.634375
= 10.13
σ = 10.13
CI = 155.78±(1.282×10.13/√8)
CI = 155.78±(1.282×3.5815)
CI = 155.78±(4.5915)
CI = {155.78-4.5915, 155.78+4.5915}
CI = {151.19, 160.37}
The range for the true mean is 151.19≤x≤160.37
For Design 2:
150.3 155.4 151.6 158.8 151.4 150.8 161.4 157.6 156.8 147.6
xbar = Sum of the samples/sample size
Sum of samples = 150.3+ 155.4+ 151.6+158.8 +151.4+ 150.8+ 161.4 +157.6+ 156.8 +147.6
Sum of samples = 1541.7
Sample size = 10
xbar = 1541.7/10
xbar = 154.17
Standard deviation
σ = (150.3 - 154.17)²+ ... + (147.6 - 154.17)²/10
σ = 177.681/10
σ = 17.7681
σ = √17.7681
σ = 4.22
CI = 154.17±(1.282×4.22/√10)
CI = 154.17±(1.282×1.3345)
CI = 154.17±(1.7108)
CI = {154.17-1.7108, 154.17+1.7108}
CI = {152.46, 155.88}
The range for the true mean is 152.46≤x≤155.88
What is the value of n?
Enter your answer in the box.
n=
The value of the n will be 6 from the property of chords.
What are the properties of the circle?The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.
Given a circle with two chords,
From the property of the chord:
If two chords intersect in a circle, then the products of the measures of the segments of the chords are equal.
Thus,
(n +4) *7 = (n + 8)*5
7n + 28 = 5n + 40
2n = 40 -28
2n = 12
n = 6
therefore, the value of the n will be 6 from the property of chords.
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You stand at zero on a number line and flip a coin. When the coin is heads, you move one unit to the right. When the coin is tails, you move one unit to the left. After each flip, you record your position on the number like. Let g represent your position after the nth flip.
a.Explain why g is a function
b. What does g(5)=3 represent
c. What is the probability that g(3)=0
By using the concept of number line, it can be calculated that
a) g is a function
b) g(5) = 3 means after 5 flips, the person is at '3' on the number line
c) Probability that g(3) = 0 is zero
What is a number line?
All the real numbers, integers, fractions can be pictorially represented with the help of a line. The line is known as number line.
a) Here, g represents the position after the nth flip
After n flips, a person stands at only one position on the number line, not more than one. So every point on the domain has unique image. So g is a function.
b) g(5) = 3 means after 5 flips, the person is at '3' on the number line
c) The person is initially standing at zero. To move to zero position, even number of flips have to be made. But 3 is not an even number. So probability that g(3) = 0 is zero
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