Find the area of the trapezoid to the nearest tenth.
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However, I will try to help you with the procedures on how to get the area of trapezoid and you can apply on the diagram you have.
Now, area of trapezoid can be calculated using the following rule:
area of trapezoid = [tex] \frac{b1 + b2}{2} * h[/tex]
where:
b1 is the length of the first base
b2 is the length of the second base
h is the height of the trapezoid
The bases are the two parallel sides in the trapezoid
To better illustrate this, consider the attached diagram.
We have:
b1 = 5 m
b2 = 8 m
h is the perpendicular height = 4 m
Area = [tex] \frac{5+8}{2} *4[/tex] = 26 m²
Hope this helps :)
Related Questions
A father is ten times as old as his daughter. In 5 years he will be just five times as old as she will be. How old are they now? HELP PLEASEEE
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The given problem is an algebraic equation where the daughter's age is denoted as 'x' and the father's age as '10x'. An equation is formulated to solve for 'x' based on future ages. The solution to the problem is that the daughter is 5 years old, and the father is 50 years old.
Explanation:The problem asked is a classic example of algebra problem solving. We are told that a father is 'ten times as old as his daughter', and in five years, 'he will be just five times as old as she will be'. Let's denote the daughter's current age as 'x'. Therefore, the father's current age will be '10x'.
In five years, the daughter will be 'x+5' and the father will be '10x+5'. At this future moment, the father is 'five times as old as the daughter', so we can create the equation: 10x + 5 = 5(x + 5). Solving this equation leads to 'x=5'. So, the daughter is 5 years old and the father is 50 years old.
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Billy is flying his new radio-controlled helicopter around town. He is using a map in which each grid line is equivalent to 100 feet. Billy releases the helicopter from the library parking lot, at (2, 6) on the map. He gets it to cruising altitude and then starts measuring its flight. Billy flies the helicopter in a direct line to the town pool, at (6, 9) on the map. How far has the helicopter flown?
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The helicopter has flown a distance of 500 feet as calculated using the Euclidean distance formula for two points on a grid.
Explanation:To find the distance the helicopter has flown, we need to calculate the Euclidean distance between the two points (2,6) and (6,9) on the grid map. We can use the formula: Distance = √[(x₂ - x₁)² + (y₂ - y₁)²], where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points. Substituting the given points into the formula, we have:
Distance = √[(6 - 2)² + (9 - 6)²] = √[(4)² + (3)²] = √[16 + 9] = √25 = 5 grid lines.
Given that each grid line is equivalent to 100 feet, the helicopter has traveled 5 grid lines * 100 feet/grid line = 500 feet.
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Mr. Baker’s fifth grade class of buried a time capsule in the field behind the school they drew a map and mark the location of the capsule with an ax so that his class can dig it up in 10 years what could Mr. Baker’s class have done to make the capsule easier to find
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The could have create an actual physical marker on the ground at the location of a capsule, like a sign, rock or flag.
If the spinner is spun 100 times, how many times would you expect it to land in region E? Explain.
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Count of pieces in Region E 4 4
----------------------------------------- = ------------------- = ---------- = 1/3, or 0.333...
Total # of pieces in all regions 2+2+3+1+4 12
Thus in 100 spins, the spinner will land in Region E approx. (1/3)(100) times, or
33 times.
Please solve both and tell me how!
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To determine k, you need to throw x + 3 into the original function:
[tex]f(x)= x^{2} -2x-24[/tex]
So, [tex]f(x+3)[/tex] would be:
[tex]f(x+3)= (x+3)^{2} -2(x+3)-24[/tex]
Doing some FOILing/distributing, we get:
[tex]f(x+3)= (x^{2}+6x+9) -2x-6-24[/tex]
Doing some clean up/combining like terms, we get:
[tex]f(x+3)= x^{2}+4x-21[/tex]
Now, it should be clear that k=4, since k is the coefficient in front of the x term (it's the "b" in [tex]ax^2+bx+c[/tex]).
PART B:
There are several ways to find the zeros, but perhaps the easiest is to factor the result from Part A:
[tex]f(x+3)= x^{2}+4x-21=(x+7)(x-3)[/tex]
From those factors, we know that zeros occur at x = -7 and x = 3 (answers A and E).
By the way, you can check the logic of these zeros if you know about shifts/translations. [tex]f(x+3)[/tex] is a 3 unit left shift from the original function, which has zeros at x = -4 and x = 6. Well, x = -7 is 3 units to the left of x = -4. And x = 3 is 3 units to the left of x = 6. So everything seems to check out.
A bag has 10 marbles and 4 are black. Joseph picks 2 marbles without replacing the first. What is the probability that both are black?
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To find the probability that both marbles drawn by Joseph are black, you need to consider the number of ways he can draw 2 black marbles out of the 4 black marbles in the bag, divided by the total number of ways he can draw 2 marbles from the 10 marbles in the bag without replacement. The probability is 2/15.
Explanation:To find the probability that both marbles drawn by Joseph are black, we need to consider the number of ways he can draw 2 black marbles out of the 4 black marbles in the bag, divided by the total number of ways he can draw 2 marbles from the 10 marbles in the bag without replacement.
Let's calculate:
Therefore, the probability that both marbles are black is 6/45, which simplifies to 2/15.
Jason and Kyle both choose a number from 1 to 10 at random. What is the probability that both numbers are odd?
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Segment KL is tangent to ⊙ J. If KL¯¯¯¯¯¯≅JK¯¯¯¯¯, what is m∠J? The image is of a circle with centre P and having a sector KJM. KL is tangent to the circle. Points J, M and L are joined to form a horizontal line and thus a triangle KJL is formed.
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That’s what it looks like. Im not sure how to solve it either though.
given the function f(x)=2x^2-3x, calculate f(a+h)-f(a)/h
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[tex] \dfrac{ f(a+h)-f(a)}{h} [/tex]
[tex]= \dfrac{2(a + h)^2 - 3(a + h) - (2a^2 - 3a)}{h} [/tex]
[tex]= \dfrac{2(a^2 + 2ah + h^2) - 3a - 3h - 2a^2 + 3a}{h}}[/tex]
[tex]= \dfrac{2a^2 + 4ah + 2h^2 - 3a - 3h - 2a^2 + 3a}{h}}[/tex]
[tex]= \dfrac{4ah + 2h^2 - 3h}{h}}[/tex]
[tex]= \dfrac{h(4a + 2h - 3)}{h}}[/tex]
[tex]= 4a + 2h - 3[/tex]
Help please Math Geometry
Answers
5.7+70
=???
Hope this helps
Two angles are complementary. If one angle measures 32 degrees, what is the measure of the second angle?
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Complementary angles = 90°
Supplementary angles = 180°
To calculate the measure of the second angle, subtract 32 from 90.
90 - 32 = 58
The measure of the second angle is 58°. :)
If one angle measures 32 degrees, the measure of the second angle can be found by subtracting 32 from 90. Therefore, the second angle is 58 degrees.
Explanation:Complementary angles are two angles whose sum is 90 degrees. So, if one angle measures 32 degrees, we can find the measure of the second angle by subtracting 32 from 90:
Second angle = 90 - 32
Second angle = 58 degrees
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List the theorems for finding zeros of higher degree polynomial functions?
Answers
Rational Root Theorem
Final answer:
The theorems for finding zeros of higher degree polynomials include the Fundamental Theorem of Algebra, which guarantees n roots for an nth degree polynomial, the quadratic formula for second-order polynomials, and Euler's Theorem for Homogeneous Functions. These tools and theorems assist us in identifying possible roots and understanding the behavior of polynomial functions.
Explanation:
Theorems for Finding Zeros of Higher Degree Polynomial Functions
There are several important theorems relevant to finding zeros or solutions of higher degree polynomial functions. One key theorem is the Fundamental Theorem of Algebra, which states that every nth-degree polynomial has exactly n complex roots, which may include repeated roots. Additionally, polynomials are continuous and differentiable, so finding points where the derivative is zero leads to identifying potential maxima and minima.
The quadratic formula is used to find the zeros of second-order polynomials, revealing up to two roots, which may be real or complex numbers. Another relevant theorem is Euler's Theorem for Homogeneous Functions, which pertains to homogeneous functions of a certain degree and their properties. In the case of polynomials, it can be applied to determine certain types of symmetries and relationships amongst the coefficients.
Regarding polynomials of odd degrees, these always have at least one real root. Furthermore, since real-world numbers are approximations, tiny changes in the coefficients of a polynomial can lead to distinct roots. It's also worth noting that for any nth degree polynomial, differentiation yields an n-1 degree polynomial, which guides us in understanding the number of maxima or minima the function can possess. This is illustrated by the derivative of a third-order polynomial being a second-order polynomial, which can have at most two real roots.
if triangle ABC is rotated 180 degrees about the origin, what are the coordinates of A?
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Answer:
The coordinates of A is [tex](-x_1,-y_1)[/tex].
Step-by-step explanation:
We are given that a triangle ABC is rotated 180 degrees about the origin .
We have to find the coordinates of A.
Let vertices of triangle ABC [tex]A(x_1,y_1),B(x_2,y_2) ,C(x_3,y_3)[/tex]
When we rotate the about 180 degrees then the coordinates changes like as
[tex](x,y)\rightarrow (-x,-y)[/tex]
When we rotate triangle ABC about 180 degrees then its vertices Ais ([tex]x_1,y_1)[/tex] change into [tex](-x_1,-y_1)[/tex]
Hence, the coordinates of A is [tex](-x_1,-y_1)[/tex].
Final answer:
After rotating triangle ABC 180 degrees about the origin, the coordinates of point A, initially at the origin (0, 0), remain unchanged at (0, 0).
Explanation:
If triangle ABC is rotated 180 degrees about the origin, the coordinates of point A after the rotation can be determined by applying the rules of rotation in the Cartesian coordinate system. Since point A is at the origin, its initial coordinates are (0,0). A rotation of 180 degrees about the origin will essentially reflect a point over both the x-axis and y-axis, but the location of point A will remain unchanged because it is located at the center of rotation. Therefore, the rotated coordinates of point A will still be (0, 0).
What is the attribute being measured?
A. Psi
B. Stress
C. glass rods
D. number of rods
Answers
Answer:
B. Stress
Step-by-step explanation:
Did the usa prept test :)
What expression can be used for estimating 868 divided by 28?
Pls help me
Thanks
Answers
870 / 30 = 29
So 868 / 28 is approximately 29.
1. How many parts does each complex number have? What are they?
2. What kind of numbers are a and b in a complex number?
3. Give 4 examples of complex numbers. Identify the real numbers (a and b) (not parts) in your examples.
4. In a complex number in the form a + bi, what is the real coefficient of i?
5. Show and explain how you can write real numbers, such as 6, or -7.2 as complex numbers.
6. Give 2 examples of real numbers written in complex form.
7. Show and explain how you can write imaginary numbers, such as 23i or -0.24i as complex numbers.
8. Give two examples of imaginary numbers written in complex form.
9. What is the modulus of 5 - 3i ?
Will give more points once answered fully and correctly
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2. a is the real part of a complex number, while bi is the imaginary part.
3. 1+3i, where a = 1 and b = 3.
5 - 6i, where a = 5 and b = -6.
-2 + 4i, where a = -2 and b = 4.
-1 - i, where a = -1 and b = -1.
4. In a + bi, the real coefficient of i is b.
5. 6 is basically 6 + 0i, where a = 6, b = 0. Similarly, -7.2 is the same as -7.2 + 0i, where a = -7.2 and b = 0. Real numbers are just complex numbers with b = 0.
6. 2 + 0i and 8 + 0i are real numbers (2 and 8) written in complex form.
7. 23i is the same as 0 + 23i, where a = 0 and b = 23. Similarly, -0.24i is the same as a = 0 and b = -0.24. A purely imaginary number is simply a complex number with a = 0.
8. 0 + i and 0 - 4i are examples of imaginary numbers in complex form.
9. The modulus is calculated as sqrt(a^2 + b^2), so in this case, a = 5 and b = -3, so the modulus is sqrt(25 + 9) = sqrt(34).
Which choice represents the best rational approximation for *square root symbol* 3? A) 14/9 B) 15/13 C) 17/10 D) 6/5
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A rational number is a number which is in the form [tex]\frac{p}{q} ,q \neq 0[/tex]
Now, the value of the number [tex]\sqrt 3 = 1.73[/tex]
Now let us evaluate each given rational number in decimal form.
[tex]\frac{14}{9} = 1.6\\ \\ \frac{15}{13} = 1.2\\ \\ \frac{17}{10} = 1.7\\ \\ \frac{6}{5} = 1.2[/tex]
Therefore, among these numbers, the best approximation is option c i.e. 17/10.
C is the correct option.
Answer:
C) [tex]\frac{17}{10}[/tex]
Step-by-step explanation:
[tex]1,732050808 ≈ \sqrt{3} \\ \\ 1,73 ≈ \sqrt{3}[/tex]
Therefore answer choice C) would be the best approximate answer to this:
* [tex]1\frac{7}{10} = 1,7[/tex]
I am joyous to assist you anytime.
Jean's bedroom is 14 feet by 13 feet. She has chosen a carpet which costs $30.90 per square yard. This includes installation.
Determine her cost to carpet her room. $
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mrs adrian bought 30 yards of dirt for her garden in her backyard. she hired 4 girls to spread the dirt if the girls divided the dirt up evenly, how many yards did each girl need to spread mrs adrians garden?
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= 30 yards ÷ 4 girls
= 30/4
simplify by 2
= 15/2
convert to mixed number
= 7 1/2 yards per girl
ANSWER: Each girl needs to spread 7 1/2 yards.
Hope this helps! :)
1 girl = 30 ÷ 4 = 7.5 yards
Answer: Each girl needs to spread 7.5 yards of dirt.
WILL MARK BRAINLIEST!!!
PLEASE JUST HELP!!!!
END OF UNIT ASSESSMENT TEST QUESTION!!!!
The table shows the results of a random survey of children between the ages of 10 and 15 about their favorite food.
Pizza Hamburger Chicken fingers Hot dogs Mac and cheese
67 42 59 14 24
Based on these results, if 375 children are asked about their favorite food, how many children will prefer pizza?
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Antoine is wrapping a block of cheese that is 22 centimeters long by 6 centimeters high by 10 centimeters wide with plastic wrap. What is the surface area of the cheese box?
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width = 10 cm
height = 6 cm
Surface area of a rectangular prism (cheese box) = 2B + PH
Word form ⇒ 2(Area of base) + (perimeter of base)(height)
Find the measurements needed for the formula.
Area of base = 22 × 10 = 220 cm²
Perimeter of base = 22 + 10 + 22 + 10 = 64 cm
Height = 22 cm
Plug these into the formula.
2(220) + (64)(22) = 1,848
The SA of the cheese box is 1,848 cm².
How to do this I’m lost
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[tex]We\ have\ y^{-1}=\sqrt{9-x}\\\\D:\\9-x\geq0\to x\leq9\\\\x\in\left(-\infty;\ 9\right>[/tex]
verify the identity sec(theta)sin(theta)cot(theta) = 1
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sine = opposite / hypotenuse
cotangent = adjacent / opposite
So, if we multiply all three we have a numerator of
hypotenuse * opposite * adjacent and a denominator of
adjacent * hypotenuse * opposite
Notice that "hypotenuse", "opposite", and "adjacent" appear exactly once in the numerator AND the denominator.
When numerator = denominator, then a fraction equals ONE.
The table shows the results of drawing letter tiles from a bag. What is the probability that the next title drawn will have the letter C on it?
Outcome. Number of times drawn
A. 12
B. 5
C. 18
D. 15
A) 1/18
B)6/25
C)9/25
D)18/25
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number of times C has already been drawn: 18
probability of getting a C is 18/50 which reduces to 9/25
The answer is C
how do I find the area of this shape
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What is the axis of symmetry for
Y=5x^2+12x+2
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The axis of symmetry is x = -6/5.
A circular table has a diameter of 4ft.what is its approximate area?(use pi=3)
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Area = pi r^2
r = d/2
r = 4/2
r = 2 feet
pi = 3
Area = 3 * 2 * 2 = 12 square feet <<<<<< Answer.
Somewhere in 1 Kings Ch 7, the Bible makes reference to pi being 3. It's a pretty good estimate considering the number system the Bible used.
what is the length of leg s of the triangle below?
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a² + b² = c²
4² + s² = (√32)²
16 + s² = 32
s² = 16
s = 4
calculate length of x
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x^2 = 576 - 90.25
x^2 = 485.75
x = √485.75
x = 22.04 cm
Find the area of the figure