Answer:
6.82%(or -6.82%, it depends)
Step-by-step explanation:
95.2-88.7=6.5
6.5/95.2=6.82%
Find the area of the trapezoid.
Answer:
A 303.66
Step-by-step explanation:
b1+b2÷2×h is the formula.
So step by step.
29.2+19=48.2
48.2÷2=24.1
24.1×12.6=303.66
The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.
It is required to find the area of a trapezoid.
What is a trapezoid?It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.
We know the formula for the area of a trapezoid:
[tex]\rm Area = \frac{a+b}{2} \times h[/tex] Where 'a' is the long base, 'b' is the short base and 'h' is the height.
We have a = 29.2 in
b = 19 in
h = 12.6
By putting these values in the formula, we get:
[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]
Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
Learn more about the trapezoid here:
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The size of the coyote population at a national park increases at the rate of 4.3% per year. If the size
of the current population is 183, find how many coyotes there should be in 6 years. Use
y = yoe^0.043t and round to the nearest whole number.
A) 235
B) 241
C) 239
D) 237
Answer:
B
Step-by-step explanation:
The estimated number of coyotes after six years, rounded to the closest whole number, is 237.
Therefore, option D) 237 is the appropriate response.
Given that in a national park the population of coyote is increasing by 4.3% per year.
The current population is 183.
We need to find the size of the population after 6 years.
To calculate the number of coyotes in 6 years using the given growth rate, we can use the formula:
[tex]y = y_oe^{0.043t[/tex]
Where:
y = final population after t years
y₀ = initial population
r = growth rate
t = time in years
In this case, the initial population (y₀) is 183, the growth rate (r) is 4.3% or 0.043, and we want to find the final population (y) after 6 years (t = 6).
Plugging in the values:
[tex]y = 183 \times e^{(0.043 \times 6)[/tex]
Calculating this expression:
[tex]y \approx 183 \times e^{(0.258)[/tex]
Using a calculator:
[tex]y \approx 183 \times 1.294[/tex]
[tex]y \approx 236.502[/tex]
Rounding to the nearest whole number, the estimated number of coyotes after 6 years is 237.
Therefore, the correct answer is option D) 237.
Learn more about Exponential growth rate, click;
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A plane traveling with a velocity measured in meters per second, is described by vector a = 5,6). Find the
speed of the plane.
Answer:
The speed of the plane is [tex]v=1.2\: m/s[/tex]
Step-by-step explanation:
The vector (5,6) represents a point in the coordinate system time-position.
So, we have that at t = 5 s the position is x = 6.
Let's recall that the slope of this vector is the speed, then using the tangent definition:
[tex]v=\frac{x}{t}=\frac{6}{5}[/tex]
[tex]v=1.2\: m/s[/tex]
I hope it helps you!
A landscaper will pave the walkway for $5 per square foot. How much will it cost for Mrs. Johnson to have the landscaper pave her walkway If there is 9ft 16ft and 10ft? HELP PLEASE
A: $117
B: $144
C: $585
D: $720
Identify whether the representation is a function or not a function.
Function
Not A Function
tell whether the slope is positive or negative. then find the slope.
Answer:
slope is negative
m=-1
Step-by-step explanation:
the slope of a line is positive if it passes through Quadrants III and I. The slope is negative if it passes through II and IV.
yes, this line passes through Quadrant I alongside II and IV, but it doesn't pass through Quadrant III (it has to pass through Quadrant III to be positive)
that means that the slope of this line must be negative
We can calculate the slope (m) with this formula:
(y2-y1)/(x2-x1)
we can pick two points- for example, (1,3) and (2,2)
label the points:
x1=1
y1=3
x2=2
y2=2
now substitute into the equation
m=(2-3)/(2-1)
m=-1/1
m=-1
the slope is -1
Hope this helps! :)
Write the number in 2 equivalent forms as a fraction, decimal, or percent.0.40
Answer:
2/5 or 40%
Step-by-step explanation:
.40 is 40 hundredths or 40/100
40/100 can be reduced to 20/50 and reduced again to 10/25 and one more time to 2/5
Percentages are fractions out of 100 so 40/100 would be 40%.
A pedestal for a statue is made with 405 cubic feet of concrete. What is the area of the base of the pedestal? 6.7 square feet 22.5 square feet 45 square feet 3,645 square feet
Complete Question:
A pedestal for a statue is made with 405 cubic feet of concrete. A rectangular prism with a height of 9 feet.
What is the area of the base of the pedestal?
Answer:
45 square feet
Step-by-step explanation:
Given the following data;
Volume of pedestal = 405 ft³
Height of rectangular prism = 9 ft
To find the area of the base of the pedestal;
Volume of pedestal = base area * height
405 = base area * 9
Base area = 405/9
Base area = 45 square feet.
Therefore, the area of the base of the pedestal is 45 square feet.
Answer:
45 square feet
Step-by-step explanation:
PLEASE HELP WITH THIS BEEN WAITING FOR AN HOUR!!!
Answer:
The 3rd one
Step-by-step explanation:
The 3rd one because a tessellation is (By definition) "an arrangement of shapes closely fitted together, especially of polygons in a repeated pattern without gaps or overlapping." In this case 3rd because they fit with no gaps and no overlapping.
Answer:
the third one sorry couldn't answer here sooner!
Step-by-step explanation:
-Ash
What is the measure of an angle that is the complement of angle A?
A. 135
B. 5
C. 45
D. None of the above
E. 55
help with my khan academy assignment please
Help me with this!!!
Answer:
yes
Step-by-step explanation:
Dave goes into a cafe and buys 2 cups of coffee and a piece of cake.
Each
cup of coffee costs £2.75
The cake costs £2.90
Dave pays with a £10 note.
He thinks he will get more than £1.50 in change.
Is Dave correct?
You must show how you get your answer.
Diana is working on a painting for school. She needs 1 1/5 ounces of yellow paint and 2 1/2 ounces of orange paint. How much less yellow paint does she need than the orange paint?
Answer:
1 3/10
Step-by-step explanation:
We are to determine the difference the paint of yellow and orange paint
The equation we are to solve is
[tex]2\frac{1}{2} - 1\frac{1}{5}[/tex]
The equation can be solved by taking the following steps
Subtract the two whole numbers divide each denominator by the least common multiple of the denominator and multiply the figures by the numerator[tex]1\frac{5 - 2}{10}[/tex] = [tex]1\frac{3}{10}[/tex]
The straight lines y = px + 9, where p is a constant, and y = ½ x – 1 are perpendicular. (a) State the value of p *
Answer:
14587676
Step-by-step explanation:
Solve the equation 7= -108 – 3.
Answer:
s=-1
Step-by-step explanation:
Which shapes have parallel sides? Choose ALL the correct answers
Answer: The shapes that have parallel sides would be the blue diamond (bottom right) and the green trapezoid (top right).
The shapes that have the parallel sides should be blue diamond (bottom right) and the green trapezoid (top right).
What are parallel sides?The parallel sides are considered as the two sides or line that should be parallel to one other also it contain the same kind of distance also it never intersected or even touched to one another.
hence, The shapes that have the parallel sides should be blue diamond (bottom right) and the green trapezoid (top right).
Learn more about sides here: https://brainly.com/question/18190212
In the figure, all lines intersect at point W.
What is the value of n?
Please help quick
Answer:
n = 15
Step-by-step explanation:
A straight line equals 180 degrees
Angle SWT is congruent to angle XWV meaning:
SWT (55 degrees) = XWV (55 degrees)
Set up an equation:
3n + 80 + 55 = 180
Combine like terms
3n + 135 = 180
Subtract both sides by 135 to isolate variable n
3n = 45
Divide both sides by 3 to isolate variable n
n = 15
Which measure of central tendency best describes the data?
10, 14, 15, 15, 14, 13, 18, 13, 14
mean only
median only
either mean or median please answer now fast
diagram not drawn to scale
please helppp
Answer:
144?
Step-by-step explanation:
Hellohello, if you able to help me then please do. (:
Answer:
The answer is D.
Sum means addition. So, you would be adding a and b. Remember this; a - b = difference, a * b = product, a ÷ b = quotient, and a + b = sum. Good luck!
Answer:
d) a+b
Step-by-step explanation:
For this question we can think of a and b as different numbers just for the sake of making the question easier. For example "a" could be 2 and "b" could be 3 (a=2 and b=3).
(However, keep in mind that "a" and "b" can be any number and that we don't know their values. But we can assign some values to them in order to solve the question more easily)
So if a=2 and b=3 in our example the notation for their sum would be 2+3. If we just put a for 2 and b for 3 we get a+b, which is the answer
Need help!!!!!!!!!!!!!!!
Answer:
no error original system so good by
Find the slope of the line. Write your answer in simplest form.
Answer:
Slope = -3/5
Step-by-step explanation:
slope (m) = y2 - y1 / x2 - x1
m = -2 - 1 / 1 - -4
m = -3 / 1 + 4
m = -3 / 5
You can check the work by counting rise (-3 which means 3 units down) over run (5 which means 5 units to the right)
Answer:
-3/5
Step-by-step explanation:
The line is y=-3/5x-1.4
I need help on my question that’s not anwserd please help a
And if u help me I’ll give points and brainlist and thanks and a 5 star please
Answer:
where's the question. you gave no information....
Step-by-step explanation:
I don't know what I have to work with...
A roll of ribbon is used to tie 12 gifts which will be given to teachers on Teacher's
Day. Every gift requires a length of 1.85 m. After tying all the gifts, it was found that
2/3 of the ribbon had been used. The remaining ribbon was cut into 12 pieces of the same length. Calculate the length of each piece of ribbon that had been cut.
can someone help me answer this question plss
Each piece of ribbon that had been cut has a length of approximately 3.7 m.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The total length of ribbon to tie 12 gifts is calculated as,
⇒ 12 gifts × 1.85 m/gift = 22.2 m
The length of the ribbon remaining is calculated as,
Total length = [22.2 / (1/3)] x 2/3
Total length = 66.6 x 2/3
Total length = 44.4
The length of each piece of ribbon that had been cut is calculated as,
Length of each piece = 44.4 m ÷ 12 = 3.7 m
More about the Algebra link is given below.
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Help!
This is for Patterns, Functions, and Algebra!
Answer:
C.
Step-by-step explanation:
The answer is C
The system of equations n=2p+3 and n=5p is graphed.what is the solution to the system of equations
Answer:
n=7 and p=2
Step-by-step explanation:
Graph is not given,
we have n=2p+3 and n=5+p
that's 2p+3=5+p
P=5 - 3
P=2
so the solution is n=7 and p=2
Answer:
(2,7)
Step-by-step explanation:
Write an inequality to label the shaded region of the graph
-3
2
11
X
-3
-
4
-
- 1 -2
3
4
Answer:
y < 1
Step-by-step explanation:
the value of y in the whole part is less than or equal to 1.
A reflecting telescope contains a mirror shaped like a parabola of revolution. If the mirror is 16 inches across at its opening and is 2 feet deep, where will the light be concentrated?
Answer:
18
Step-by-step explanation:
PLEASE HELP
Find the measure of the numbered angles
Answer:
I believe the answers are;
m<1 = 50°
m<2 = 130°
m<3 = 50°
m<4 = 130°
m<5 = 40°
m<6 = 30°