help!!!
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Determine each segment length in right triangle ABC
The segment lengths are given as follows:
BD = 7.BC = \(7\sqrt{2}\)What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.Considering the geometric mean theorem, the triangle has bases of 7 and 14 - 7 = 7, hence the altitude BD is given as follows:
BD² = 7 x 7
BD² = 7²
BD = 7.
The segment BC is the hypotenuse of a right triangle of two sides with length 7, hence:
(BC)² = 7² + 7²
\(BC = \sqrt{2 \times 49}\)
\(BC = 7\sqrt{2}\)
More can be learned about the Pythagorean Theorem at brainly.com/question/30203256
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The area of parallelogram WXYZ is approximately 45 square units.
Parallelogram W X Y Z is shown. Sides W Z and X Y are congruent. The lengths of sides W X and Z Y are 10 units. Angle W Z Y is 115 degrees.
Trigonometric area formula: Area = One-half a b sine (C)
What is the approximate perimeter of the parallelogram?
5 units
15 units
30 units
40 units
Answer:
30 units!
Step-by-step explanation:
Edge 2020, I got a 100% on the test
Answer:
30 units
Step-by-step explanation:
muah good luck guys!
Solve the system of inequalities by graphing.
y ≥ 2
y < 4
Select a line to change it between solid and dotted. Select a region to shade it.
The area between the solid line (y=x+4) and the dotted line (y=-2x-2) represents the system of inequalities solution set.
Two linear inequalities system on a coordinate plane. The first has a solid line graphed with a negative slope of one, a negative y-intercept, and a shaded origin area. The area encompassing the origin is shaded, and the second is a dashed vertical line 3 units to the left of the origin.
x ≥ –3; y ≥ x – 2
x > –3; 5y ≥ –4x – 10
x > –3; y ≥ –x + 1
x > –2; y ≥ –x – 1
The solution set for the system of inequalities is represented by the region between the solid line (y=x+4) and the dotted line (y=-2x-2).
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A semicircle of diameter 1 sits at the top of a semicircle of diameter 2, as shown. The shaded area inside the smaller semicircle and outside the larger semicircle is called a lune. Determine the area of this lune.
a. π/6 - √3/4
b. √3/4 - π/12
c. √3/4 - π/24
d. √3/4 + π/24
e. √3/4 + π/12
The required area of the lune is (D) √3/4 - π/24.
What is the area?The measurement that expresses the size of a region on a flat or curved surface is termed area.
Surface refers to the area of a surface or the boundary of a tri structure, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
So,
The lune's area is equal to the smaller semicircle's area minus the segment's area.
The area of the segment is equal to the sum of the areas of the sector and the triangle formed by the intersection points and the larger semicircle's center.
Additionally, because all of the sides are one unit, the triangle thus constructed is an equilateral triangle.
Area of the lune = π * 1/8 (60/360 * π * 1² - √3/4 * 1²)
Area of the lune = π/8 - π/6 + √3/4
= √3/4 - π/24
Therefore, the required area of the lune is (D) √3/4 - π/24.
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Question 9 of 60
Which symbol correctly compares the fractions below? 3/7 ? 4/14
O A. =
B. >
O C. <
OD. None of these are correct.
SUBMIT
Given f(x)=3x(to the scnd power)−5x−2. What is the value of f(−2/3)? 1 8/3 3 10/3
Given:
\(f(x)=3x^2-5x-2\); find f(-2/3)
Answer:
\(f(-\frac{2}{3} )=\frac{8}{3}\)
Step-by-step explanation:
1. Insert \(-\frac{2}{3} \\\) as X; \(f(-\frac{2}{3}) = 3 (-\frac{2}{3} )^2 - 5 (-\frac{2}{3}) - 2\)
2. Solve equation; \(f(-\frac{2}{3} )=\frac{8}{3}\)
can someone help answer this and explain how you did it
Answer:
2
Step-by-step explanation:
You want the slope of segment DC given points A, B, C, D are collinear and the rise between B and A is 2 units, while the run is 1 unit.
Slope of a lineThe slope of a line is the same everywhere on the line. It is the same for segment DC as for segment BA on the same line.
slope = rise/run = 2/1 = 2
The slope of DC is 2.
<95141404393>
Thanks for reposting the pertinent question:
Therefore the SLOPE of DC:
DC = 2
Step-by-step explanation: Cheers to the person who has explained and answered the question correctly as well.Make a Plan: FORMULA FOR SLOPE OF A LINE: m = rise/run = y1 - y2 / x2 - x1POINTS: D, C, B, and A are COLLINEAR
Now, We can FIND That:SLOPE of: DC is Equal (=) To the SLOPE of: AB
So, Now, The SLOPE of AB:AB = 2/1 = 2
Now, we conclude that:Therefore the SLOPE of DC:
DC = 2
I hope this helps you!
PLSSS HELP ME 14 POINTS
The transformation of f(x) to g(x) is :
Vertically compressed by a factor of 9Shifted down by 2 Describing the transformation of the functionsFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = x
g(x) = 1/9x - 2
The graph of the functions f(x) and g(x) are added as an attachment
And we have the transformations to be:
Vertically compressed by a factor of 9Shifted down by 2Read more about transformation at
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what is the mode of these values? 5, 4, 3, 4, 5, 6, 7, 3, 6, 5
Step-by-step explanation:
5 is the mode
Hope it helps youDetermine whether each function is even, odd, or neither.
F(x)=√x^2 -9
g(x) = |x-3|
F(x)=x/x^2 -1
g(x) = x + x²
Answer: even, neither, odd, neither
Step-by-step explanation:
What is the 30th term in the arithmetic series: {58,51, 44, 37,...}?
Answer:
-145
Step-by-step explanation:
Plzzz hellppp I needs thiss nowwww plzzzzz
3x + 2 = 11
Answer: x=3
Step-by-step explanation:
3x= 11-2
3x=9
then divide each side by 3
3 divide 3 =1 9 divide 3 = 3 so...
x=3
A stack of books is 62 inches high. How high is it in feet and inches?
Answer:
5 feet and .16667 inches
Step-by-step explanation:
if you where to simplify the inches it would be 2 inches because the 6 next to the 1 is greater then five making the 1 a 2
hii pls answer as quickly as possible i will give you the brainliest :))
Answer:
sorry
Step-by-step explanation:
I really don't know answer
I am not understanding this topic in math and I have a huge test tomorrow, I forgot about this assignment and I would really appreciate it if someone could help me out with this!!! ❤️
The radius of a circle is 5 meters. What is the length of a 45° arc?
Answer:
Step-by-step explanation:
36712 dvided by 52. 43803 dvided by 93
1 4/7x4/5 in simplest form
Answer:
1 9/35
Step-by-step explanation:
A Lexus can drive 15 miles per gallon of gas. How many
gallons of gas would the car need to go 225 miles?
HELPPP
Answer:
15 gallons
Step-by-step explanation:
225 divided by 15 is 15
Ballet teacher Monica Lawry earns time
and a half for the number of hours she
works over 40. One week she worked 48
hours. If her base pay is $9.00, how much
did she earn that week?
O $432
O $468
$792
Answer:
792
Step-by-step explanation:
A certain game consist of rolling a single fair die and based off as a following numbers listed in the picture
Given:
A fair die is rolled.
It pays off $10 for 6, $7 for a 5, $4 for a 4 and no payoff otherwise.
To find:
The expected winning for this game.
Solution:
If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.
The probability of getting a 6 is:
\(P(6)=\dfrac{1}{6}\)
The probability of getting a 5 is:
\(P(5)=\dfrac{1}{6}\)
The probability of getting a 4 is:
\(P(4)=\dfrac{1}{6}\)
The probability of getting other numbers (1,2,3) is:
\(P(\text{Otherwise})=\dfrac{3}{6}\)
\(P(\text{Otherwise})=\dfrac{1}{2}\)
We need to find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.
\(E(x)=10\times P(6)+7\times P(5)+4\times P(4)+0\times P(\text{Otherwise})\)
\(E(x)=10\times \dfrac{1}{6}+7\times \dfrac{1}{6}+4\times \dfrac{1}{6}+0\times \dfrac{1}{2}\)
\(E(x)=\dfrac{10}{6}+\dfrac{7}{6}+\dfrac{4}{6}+0\)
\(E(x)=\dfrac{10+7+4}{6}\)
\(E(x)=\dfrac{21}{6}\)
\(E(x)=3.5\)
Therefore, the expected winnings for this game are $3.50.
NASA’s research center has seven crates of hard-shell space suits. Each crate has two suits. If three suits crack during pressure testing, how many suits are left that are NOT cracked?
Find three consecutiveintegers with a sum of48.
First, we have to express algebraically the part "three consecutive integers".
\(x,x+1,x+2\)According to the problem, these three consecutive integers have to sum 48. So, we can express the following equation.
\(x+x+1+x+2=48\)Now, we solve for x
\(3x+3=48\)We subtract 3 on each side-
\(\begin{gathered} 3x+3-3=48-3 \\ 3x=45 \end{gathered}\)At last, we divide the equation by 3
\(\begin{gathered} \frac{3x}{3}=\frac{45}{3} \\ x=15 \end{gathered}\)Therefore, the first number is 15, the second is 16 and the last number is 17.Jessica and Brad are both solving 3.65 divided by 100. Jessica says the answer is 365. Brad says
the answer is 0.0365. Which student is correct?
Answer:
Brad
Step-by-step explanation:
3.65 / 100 = 0.0365
Another way to figure out the answer is by moving the decimal point two times to left ( division goes left, multiplicatin goes right)
If you move the decimal point to left 2 times in 3.65, you will get 0.0365
SOMEONE ANYONE PLEASE HELP!!!
The graph of g(x) is obtained from the graph of f(x) by the following transformations:
- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).
- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).
In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.
Here is a more detailed explanation of the transformations:
- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).
- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).
Write the given equation for the quadratic function in standard form.
9(x) = (x - 4) +11
Find the area of the polygon.
Answer:
240
Step-by-step explanation:
Hello There!
Note: the little arrows indicate that the line can be extended and it's opposite side will never touch indicating that it's a parallelogram
The formula for area of a parallelogram is
\(A=bh\)
where b = base and h = height
the given dimension are
height = 15
base = 16
so all we have to do is plug in the values into the formula
\(A=(15)16\\15*16=240\\A=240\)
so we can conclude that the area of the polygon is
240 square units
Find the root of the function f(x)=−4x+1.
Answer: A
Step-by-step explanation:
\(-\frac{4}{x}+1=0\\\\1=\frac{4}{x}\\\\x=4\)
12(5)—150 divided by (-25)4(-22) 175(-1) -7(50) -51 divided by3 -7(50)-72 divided by (-36) -15(-21) Quotient
1) 12(5)= 60.
2) - 150 / -(25) = 6
3) 4 (-22) = 88
On a coordinate plane, point A is 4 units down. Point B is 8 units to the left and 7 units down.
Which statements are true about the locations of points A and B? Select all that apply.
Point A is at (0, –2).
Point A is at (0, –4).
Point A is at (–4, 0).
Point B is at (–4, –3).
Point B is at (–8, –6).
Point B is at (–8, –7).
Answer:
Point A is at (0, –4).
Point B is at (–8, –7).
Step-by-step explanation:
point A is 4 units down : y = –4
Point B is 8 units to the left : x = –8
and 7 units down: y = –7
A : (0, –4)
B : ( –8, –7)