Answers
Answer: 25.71
Step-by-step explanation:
The area of a triangle is b*h/2. First, focus on finding the missing height. To find the height, use the pythagorean theorem. The pythagorean theorem only works on rights triangles. If you divide the triangle in half (vertically), you end up with two right triangles. From there, use the pythagorean theorem. The equation for the theorem is a²+b²=c². a and b are the sides and c is the hypotenuse(longest side).
1. For this triangle, you have the base and hypotenuse. Because there are technecally two right triangles, divide the base into two. 7.2/2 is 3.6.
2. Going back to what I said about a²+b²=c² , fill in the variables. The pythagorean theorem is used to find a missing side in a right triangle, so in this case, you would use it to find the height. 3.6²+X²=8². X represents the height which is 7.14
3. Finally, 7.14*7.2= 51.43.
4. Divide 51.43 by 2. 51.43/2 is 25.72.
I hope this wasn't too difficult to understand bc it's harded to explain without visuals. Hope this helped!
Answer:
[tex]\boxed{25.72 \: units^2}[/tex]
Step-by-step explanation:
Split the triangle into two triangles.
The base of one triangle is 3.6 and hypotenuse (longest side) is 8.
Use Pythagorean theorem to find length of one leg.
a² + b² = c²
3.6² + b² = 8²
b = 7.144228
The area of a triangle is [tex]\frac{1}{2} bh[/tex]
The base and height both are given now.
[tex]\frac{1}{2} (7.144228)(3.6)[/tex]
[tex]12.85961[/tex]
Multiply by 2 because there are two triangles.
[tex]12.85961 \times 2[/tex]
[tex]25.719221[/tex]
Related Questions
A
B
C
D
WHICH ONE??
PLEASE HELP ME !!!
Answers
Answer:
Is it B?
Step-by-step explanation:
ab^2 + 2a^2b + 4a + 2b
ab(b+2a) +2(2a+b)
ab(b+2a) +2(b+2a)
(ab+2)(b+2a)
that's why ab+2 is the answer.
What does x(x - 2) equal?
Answers
Answer:
x^2 - 2x
Step-by-step explanation:
Distribute the x to every term in the parenthesis.
Answer:
x^2 -2x
Step-by-step explanation:
x(x - 2)
Distribute
x*x - 2*x
x^2 -2x
helppp
Determine the x-intercept of the line whose equation is given:
y = StartFraction x Over 2 EndFraction minus 3
a.
(6, 0)
b.
(negative 6, 0)
c.
(0, three-halves)
d.
(Negative three-halves, 0)
Answers
Answer:
A
Step-by-step explanation:
If you put your function in a graphing calculator you will get (6,0)
If 3x-5=10x+9, what is 4(x+7)?
Answers
Answer: not sure
Step-by-step explanation:
Answer:
Hey there!
3x-5=10x+9
-5=7x+9
-14=7x
x=-2
4(x+7)
4(-2+7)
4(5)
20
Hope this helps :)
If there are 9 square patches on the quilt, how many circle patches are there?
Answers
Answer:
5
Step-by-step explanation:
there are 5 circle patches on the quilt
Use the graph to evaluate the function below for specific inputs and outputs.
Answers
Answer:
y = G(x) = 6, when x = -4
y = G(x) = -2, when x = 3
Step-by-step explanation:
From the attached graph tracing the first point to the graph and then to x axis.
y = G(x) = 6
as shown on the attachment(by the thick line)
y = G(x) = 6, when x = -4
From the attached graph tracing the second point to the graph and then to x axis.
y = G(x) = -2
as shown on the attachment(by the thin line)
y = G(x) = -2, when x = 3
geometry question please help
Answers
Answer:
see below
Step-by-step explanation:
Alright, geometric probability.
We need to find
the area of the rectanglethe area of the equilateral triangle the area of the square the area of the part of the circle that does not include the squareand the area of the part of the rectangle that does not include the square, circle, or triangle.To find those, we need to find the areas of:
the outer rectanglethe circlethe equilateral trianglethe squareLet's start off with the easiest figure. The circle.
The circle has a radius of 10. Therefore, its area is is π[tex]r^2[/tex]. 100π is roughly 314.159265.
The circle has an area of around 314.159265.
Half of the diagonal of the square is 10m. That means that the full diagonal of the square is 20 m.
Formula for side of square using diagonal:
a = q / √2
20/√2 = 14.142135623731
The area of a square is a^2
14.142135623731^2= 200
The area of the square is 200 m^2. (28)
Using this, and the area of the circle, we can find the area of the part of the circle that does not include the square.
314.159265 - 200= 114.159265
The area of the part of the circle that does not include the square is 114.159265.
Now, the most important calculation (because it lets us find the total area of the rectangle); the equiangular triangle.
The height of this triangle is 30m. Therefore, the area is 519.6152422706632.
The area of the equiangular triangle is 519.6152422706632.
The side length of the equiangular triangle is 34.64101615137755.
The area of the rectangle= l times w.
l = 34.64101615137755
w= 30
30 times 34.64101615137755= 1039.23048454133
The total area is 1039.23048454133.
Now that we have the denominator of our fraction (total area), lets go back to our questions.
We need to find
the area of the equilateral triangle the area of the square the area of the part of the circle that does not include the squareand the area of the part of the rectangle that does not include the square, circle, or triangle.The area of the equilateral triangle = 519.6152422706632
519.6152422706632/1039.23048454133 = .5
The geometric probability that a point chosen randomly inside the rectangle is inside the equilateral triangle is .5
The area of the square = 200
200/1039.23048454133 = 0.19245008973
The geometric probability that a point chosen randomly inside the rectangle is inside the square is 0.19245008973
The area of the part of the circle that doesn't include the square: 114.159265
114.159265/1039.23048454133= 0.10984980396
The geometric probability that a point chosen randomly inside the rectangle is inside the part of the circle that doesn't include the square is 0.10984980396
The part of the rectangle that doesn't include the square, circle or triangle.
Area of triangle = 519.6152422706632
(The triangle contains the circle and square).
1039.23048454133- 519.6152422706632 = 519.61524227067
519.61524227067 /1039.23048454133 = 0.5
The geometric probability that a point chosen randomly inside the rectangle is inside the part of the circle doesn't include the square, circle, or triangle is 0.5
Hope this helped! Let me know if I made an errors, or if my answers are incorrect.
I have two U.S. coins that total 30 cents. One is not a nickel. What are the two coins?
Answers
To solve the given problem, we need to know the types of US coins. The given problem is one of the tricky problems. So lets find out
In the united states, there are six types of coins produced. Penny- 1 cent, nickel- 5 cents, dime- 10 cents, quarter- 25 cents, half dollar- 50 cents and dollar- 100 cents. So u should know these types to slove this know lets move on to the :
Answer and Explanation:
The given problem is a kind of a riddle. It is given that the total of two US coins is
30
cents.
One is not a nickel, But the other one can be a nickel=
5
cents. So, the first one coin is a quarter=
25
cents. Which gives the total
30
cents.
Therefore, the two coins are a nickel and a quarter.
Hope you understood it!!!5. Solve 2(1 - x) > 2x.
a. x > 2
b. x < 2
c. x < 0.5
d. x > 0.5
Answers
Answer:
I do not know for sure but i think it might be B.
Step-by-step explanation:
Im not the smartest so yeah hopefully that is the answer you are looking for tho :D
Q2:
Which expression is equivalent to 4(x + 1) – 7(x + 3)?
A
11x + 25
B
11x – 17
C
–3x – 17
D
–3x + 25
Answers
Answer:
The expression equivalent to the given equation is -3x - 17
Step-by-step explanation:
4(x + 1) - 7(x + 3)
Distribute 4 to (x + 1) and distribute 7 to (x + 3).
4x + 4 - 7x - 21
Combine like terms.
-3x - 17
Solve the inequality 5(2h + 8) < 60
Answers
Step-by-step explanation:
5(2h+8) <60
10h +40< 60
10h + 40-40 < 60-40
10h < 20
10h/10 < 20/10
h < 2
The diagram shows a parallelogram.
4 cm
7 cm
100°
Work out the area of the parallelogram.
Give your answer to 2 significant figures.
Answers
Answer:
27.44 square cm
Step-by-step explanation:
If the length of parallelogram is a and b and angle between side a and b is [tex]\alpha[/tex].
Then area of parallelogram = [tex]a*b*sin(\alpha ) = ab sin(\alpha )[/tex]
Given side length 4 cm and 7 cm
angle between them = 100°
value of sin(100°) = 0.98
Thus, area of given parallelogram = 4*7*sin(100°) = 28*0.98 = 27.44
Thus, area of given parallelogram is 27.44 square cm.
what is a other name for the set of all x-values
Answers
Answer:
its domain
Step-by-step explanation:
Answer:
i believe it is A- range.
Step-by-step explanation:
i took the quiz
Allen is running a marathon. He would like to finish the race in under 5.5 hours. He has already run 3 hours. The inequality 3 + t less-than 5.5 represents the situation. Which number line shows how much longer Allen can run and still meet his goal?
Answers
Answer:
Kindly check attached picture for number line.
Step-by-step explanation:
Total time Allen would love to complete race is less than 5.5 hours
Time elapsed = 3 hours
Inequality representing the problem above :
3 + t < 5.5
Where t will mean the time left.
Solving for t
t < 5.5 - 3
t < 2.5
Time left is < 2.5 hours.
Answer:
Open Circle to the left from 2.5
Step-by-step explanation:
Given: JP = KP; PX = PY Prove: ΔPYJ ≅ ΔPXK Triangles P Y J and P X K overlap and intersect at point Z. Point X of triangle P X K is on side J P of triangle P Y J. Point Y of triangle P Y J is on side K P of triangle P X K. Which best describes the missing reasons? ♣: ♦:
Answers
Answer:
Which best describes the missing reasons?
♣:reflexive property
♦: SAS
Step-by-step explanation:
I just did it.
The missing reasons is ♣: reflexive property
We have given that,
JP = KP; PX = PY
ΔPYJ ≅ ΔPXK Triangles P Y J and P X K overlap and intersect at point Z. Point X of triangle P X K is on side J P of triangle P Y J. Point Y of triangle P Y J is on side K P of triangle P X K.
We have to determine which best describes the missing reasons.
What is the reflexive property?
The reflexive property of equality states that a number is always equal to itself. Reflexive property of equality. If a is a number, then. a = a. a=a.
♣: reflexive property
♦: SAS
To learn more about the reflexive property visit:
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A taut string of length 10 inches is plucked at the center. The vibration travels along the string at a constant rate of c inches per millisecond in both directions. If x represents the position on the string from the left-most end, so that 0≤x≤10, which of the following equations can be used to find the location x of the vibration after 0.3 milliseconds? A. | x -5 | =0. 3 B. ∣cx−5∣=0.3 C. | x -0.3 | = 5 D. | x - 10 | =0.3c
Answers
Answer:
The correct option is
[tex]A. \ \dfrac{1}{c} \times \left | x - 5 \right | = 0.3[/tex]
Step-by-step explanation:
The parameters given are;
The length of the string = 10 inches
The speed or rate of travel of the wave = c inches per millisecond
The position on the string from the left-most end = x
The time duration of motion of the vibration to reach x= 0.3 milliseconds
The distance covered = Speed × Time = c×0.3
Given that the string is plucked at the middle, with the vibration travelling in both directions, the point after 0.3 millisecond is x where we have;
The location on the string where it is plucked = center of the string = 10/2 = 5 inches
Distance from point of the string being plucked (the center of the string) to the left-most end = 5 inches
Therefore, on the left side of the center of the string we have;
The distance from the location of the vibration x (measured from the left most end) to the center of the string = 5 - x = -(x -5)
On the right side of the center, the distance from x is -(5 - x) = x - 5
Therefore, the the equation that can be used to find the location of the vibration after 0.3 milliseconds is [tex]\dfrac{1}{c} \times \left | x - 5 \right | = 0.3[/tex] or [tex]\left | x - 5 \right | = 0.3 \times c[/tex] which gives the correct option as A
a) Complete the table of values for y = 3x – 1
X
-2
-1
0
1
2
3
y
I
-4
5
Answers
Answer:
x | y
− 2 − 6
− 1 − 3
0 0
1 3
2 6
hope this helps!
The table of values for the equation y = 3x - 1, is attached.
x y
-2 -7
-1 -4
0 -1
1 2
2 5
3 8
What are equations?Equations are relations between two or more variables, used to find the value of an unknown variable from the known value of other variables.
How do we solve the given question?We are given the equation y = 3x - 1. We are asked to complete the table, for the given values of x: -2, -1, 0, 1, 2, 3.
To find the y variable, for the given x's, we substitute each value of x, one at a time in the equation.
Value of y when x = -2 is, y = 3(-2) -1 = - 6 - 1 = -7.Value of y when x = -1 is, y = 3(-1) -1 = - 3 - 1 = -4.Value of y when x = 0 is, y = 3(0) -1 = 0 - 1 = -1.Value of y when x = 1 is, y = 3(1) -1 = 3 - 1 = 2.Value of y when x = 2 is, y = 3(2) -1 = 6 - 1 = 5.Value of y when x = 3 is, y = 3(3) -1 = 9 - 1 = 8.We put all these values of y, for the corresponding value of x in the table. The completed table is attached.
Learn more about equations at
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I will mark brainiest if correct Let f(x)=5x−7 and g(x)=x+3. Find f(g(x)) and g(f(x)).
Answers
Step-by-step explanation:
f(g(x))= 5(g(x))- 7 = 5(x+3) - 7 = 5x +8
g(f(x)) = f(x) +3 = 5x -7 +3= 5x -4
Determine the solution to f(x) = g(x) using the following system of equations: (5 points) f(x) = 3x − 23 g(x) = −4.5x + 7
Answers
Answer:
(The solution is (4, -11).
Step-by-stp explanation:
Let f(x) = g(x) = y:
y = 3x − 23
y = -4.5x + 7 Subtract the second equation from the first to eliminate y:
0 = 7.5x - 30
7.5x = 30
x = 4
Plug this into the first equation:
y = 3(4) - 23
y = -11.
Solve the system of equations by substituion,
-5x + y = 3
7.5x - 1.5y = 3
Answers
find the value of t perimeter
Answers
Answer:
t = 15.2 is the answerStep-by-step explanation:
1. Make an equationnumbers to find perimeter = perimeter
Side + Side + 2 unknown sides = perimeter
12 + 7.8 + 2t = 50.2
2. Simplify like terms19.8 + 2t = 50.2
3. Solve19.8 + 2t = 50.2
-19.8 - 19.8
2t = 30.4
t = 15.24. Check:12 + 7.8 + t + t = 50.2
12 + 7.8 + (15.2) + (15.2) = 50.2
50.2 = 50.2 Correct!Hope this helped,
Kavitha
Answer:
t = 15.2 miles
Step-by-step explanation:
First, let's add the top and bottom numbers together.
7.8 + 12 = 19.8 mi
Next, we subtract that from 50.2 to get the combined value of both t's.
50.2 - 19.8 = 30.4 mi
Finally, we can divide 30.4 by 2 to get the value of t.
30.4 ÷ 2 = 15.2 mi
To check our answer, we can add all the sides up to see if they equal to 50.2. 15.2 + 15.2 = 30.4
30.4 + 12 + 7.8 = 50.2
help me solve this please
Answers
Please mark brainliest! Thank you
Answer:
Center : (-2, 7)
Radius : 6
Step-by-step explanation:
If you use desmos (graphing website), you're able to plug in the the equation to find the radius and center.
Can someone help me solve (a) and (c) pls.
Thanks
Answers
Answer:
Area of ABCD = 959.93 units²
Step-by-step explanation:
a). By applying Sine rule in the ΔABD,
[tex]\frac{\text{SinA}}{46}=\frac{\text{Sin}\angle{DBA}}{35}[/tex]
[tex]\frac{\text{Sin110}}{46}=\frac{\text{Sin}\angle{DBA}}{35}[/tex]
Sin∠DBA = [tex]\frac{35\times \text{Sin}(110)}{46}[/tex]
m∠DBA = [tex]\text{Sin}^{-1}(0.714983)[/tex]
m∠DBA = 45.64°
Therefore, m∠ADB = 180° - (110° + 45.64°) = 24.36°
m∠ADB = 24.36°
c). Area of ABCD = Area of ΔABD + Area of ΔBCD
Area of ΔABD = AD×BD×Sin([tex]\frac{24.36}{2}[/tex])
= 35×46Sin(12.18)
= 339.68 units²
Area of ΔBCD = BD×BC×Sin([tex]\frac{59.92}{2}[/tex])°
= 46×27×(0.4994)
= 620.25 units²
Area of ABCD = 339.68 + 620.25
= 959.93 units²
It takes Carrie 58 minutes to get home. If Carrie leaves for home at 1:32, what time will she arrive?
Answers
Answer:
2:30
Step-by-step explanation:
58+32=90
90-60=30
2:30 is the answer
Answer: she will get home at 2:30
Step-by-step explanation:
If you start at 1:32 then take 28 min from 58 then you get 2:00
Finally add 30 yo that and get 2:30.
Select the correct answer. What is the average rate of change of f(x), represented by the graph, over the interval [-1, 1]? A. 2 B. 3 C. 5 D. 6
Answers
Answer:
C
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [- 1, 1 ] , thus
f(b) = f(1) = 5 ← from graph
f(a) = f(- 1) = - 5 ← from graph , thus
average rate of change = [tex]\frac{5-(-5)}{1-(-1)}[/tex] = [tex]\frac{10}{2}[/tex] = 5 → C
helpppppp pleaseeeeee
Answers
Answer:
HL, the two triangles both share a side and have right angles.
Step-by-step explanation:
Congruent Triangles - Hypotenuse and leg of a right triangle. (HL) Definition: Two right triangles are congruent if the hypotenuse and one corresponding leg are equal in both triangles. If, in two right triangles the hypotenuse and one leg are equal, then the triangles are congruent.
What value of x is in the solution set of 2x-3> 11 - 5x?
-3
2
Answers
Answer:
x >2
Step-by-step explanation:
2x-3> 11 - 5x
Add 5x to each side
2x+5x-3> 11 - 5x+5x
7x -3 > 11
Add 3 to each side
7x-3+3 > 11+3
7x >14
Divide by 7
7x/7 > 14/7
x >2
A researcher plans to conduct a significance test at the 0.01 significance level. She designs her study to have a power of 0.90 at a particular alternative value of the parameter of interest. The probability that the researcher will commit a Type II error for the particular alternative value of the parameter at which she computer the power is'
Answers
Answer: 0.10
Step-by-step explanation: The type 2 error is committed when the alternative hypothesis is rejected when it should have been accepted causing the researcher to accept the null hypothesis which is false.
Power is the probability of avoiding a type 2 error. That is ;
Power = 1 - P(type 2 error)
Given that power = 0.90 ; P(type 2 error) = probability of committing a type 2 error.
P(type 2 error)' = 1 - P(type 2 error) = Probability of not committing or avoiding a type 2 error
0.90 = 1 - P(type 2 error)
P(type 2 error) = 1 - 0.90
P(type 2 error) = 0.10
The probability that the researcher will commit a Type II error for the particular alternative value of the parameter at which she computer the power is 0.10.
Calculation of the probability:Since The type 2 error should be committed at the time when the alternative hypothesis should be rejected
So, it can be like
Power = 1 - P(type 2 error)
Given that power = 0.90 ;
P(type 2 error) = probability of committing a type 2 error.
Now
P(type 2 error)' = 1 - P(type 2 error) = Probability of not committing
0.90 = 1 - P(type 2 error)
P(type 2 error) = 1 - 0.90
P(type 2 error) = 0.10
Learn more about probability here: https://brainly.com/question/10695144
Which of the following is a term in the algebraic expression:
p2 + 12p-14?
A. 12
B. p3
C. 3
D.P
Answers
Answer:
Hello!
____________________
Your answer would be (C).
Hope this helped you!
This is just probability, please help me !
Answers
Answer:
4/5
Step-by-step explanation:
Two are white.
10 total marbles.
10 - 2
8 are not white.
8/10
Simplify or reduce.
⇒ 4/5