Answer:
The answer is the following:
r≈5.64in
Answer:
5.641
Step-by-step explanation:
If you think about it, the formula for getting the area of a circle is:
[tex]a = \pi r^2[/tex]
So to rearrange and make r the subject, divide both sides of the equation by pi:
[tex]\frac{a}{\pi} = \frac{\pi r^2}{\pi}[/tex]
[tex]\frac{a}{\pi} = r^2[/tex]
Now square root both sides to find r:
[tex]\sqrt{\frac{a}{\pi} } = \sqrt{r^{2} }\\\sqrt{\frac{a}{\pi} } = r[/tex]
Plug the known area value in:
[tex]\sqrt{\frac{100}{\pi} } = r[/tex]
= 5.641
Hope this helps!
What do you call raising a base to the exponent 2
Answer:
Squaring
Step-by-step explanation:
At a store, 4 shirts cost $25 and 6 shirts cost $37.50.
Part A:
Is there a proportional relationship between the shirts and their cost? If so, what is the unit rate for one shirt?
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
On the first three tests, Jhon scored 72 points. On the next test, he got a higher score. On the
third test, his score was 1 more than on the second. His average on the three tests was 83.
What were his grades on the second and third tests?
Answer:
Second test=88
Third test=89 Hope this helps please mark brainliest it helps a lot! Thanks!
Step-by-step explanation:
According to the question, here we got to know that John scored 72 points in the first test
In the second he scored higher than the 1st test
In the third he scored 1 mark more than the second test
His average in the three tests was 83
So,
Let's the marks scored in the 2nd test be x
Hence, in the third test he got x + 1
Average is 83
[tex] \frak{Average = \frac{{1}^{st} \: test + {2}^{nd} \: test + {3}^{rd} \: test }{3} } \\ \\ \dashrightarrow \frak{83 = \frac{72 + x + x + 1}{3}} \\ \\ \dashrightarrow \frak{83 = \frac{73 + 2x}{3}} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{249 - 73 = 2x} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{x = \frac{176}{2} } \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{249 - 73 = 2x} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \star \qquad \boxed{ \green{\frak{x = 88}}} \\ \\ \sf{ \underline{{2}^{nd} \: test }} : \\ \\ \boxed{ \red{88}} \\ \\ \sf{ \underline{{3}^{rd} \: test }} : \\ \\ \rightarrow x + 1 \\ \\ \rightarrow 88 + 1 \\ \\ \boxed{ \red{ 89 }}[/tex]
Given:In quadrilateral WXYZ , and bisect each other at point A.
Prove: Quadrilateral WXYZ is a parallelogram.
Statement
Reason
1. and bisect each other. given
2. WA = YA
XA = ZA
definition of bisection
3. m∠YAZ = m∠XAW
Vertical Angles Theorem
4.
SAS criterion for congruence
5. ∠ YWX ≅ ∠WYZ
Corresponding angles of congruent triangles are congruent.
6. ||
converse of Alternate Interior Angles Theorem
7. m∠XAY = m∠ZAW
Vertical Angles Theorem
8. ∆XAY ≅ ∆ZAW
SAS criterion for congruence
9. ∠XZW ≅ ∠ZXY
Corresponding angles of congruent triangles are congruent.
10. ||
converse of Alternate Interior Angles Theorem
11. Quadrilateral WXYZ is a
parallelogram.
definition of parallelogram
Answer:
Given:In quadrilateral WXYZ , and bisect each other at point A.
Prove: Quadrilateral WXYZ is a parallelogram.
Statement
Reason
1. and bisect each other. given
2. WA = YA
XA = ZA
definition of bisection
3. m∠YAZ = m∠XAW
Vertical Angles Theorem
4.
SAS criterion for congruence
5. ∠ YWX ≅ ∠WYZ
Corresponding angles of congruent triangles are congruent.
6. ||
converse of Alternate Interior Angles Theorem
7. m∠XAY = m∠ZAW
Vertical Angles Theorem
8. ∆XAY ≅ ∆ZAW
SAS criterion for congruence
9. ∠XZW ≅ ∠ZXY
Corresponding angles of congruent triangles are congruent.
10. ||
converse of Alternate Interior Angles Theorem
11. Quadrilateral WXYZ is a
parallelogram.
definition of parallelogramTriangles can be similar or congruent. Similar triangles will have congruent angles but sides of different lengths. Congruent triangles will have completely matching angles and sides. Their interior angles and sides will be congruent. Testing to see if triangles are congruent involves three postulates, abbreviated SAS, ASA, and SSS.
How do I determine z ∈ C:
[tex](\frac{3-2i}{1+i} - \frac{5+3i}{1+2i} )z = \frac{1}{2} - \frac{2}{5}i[/tex]
Simplify the coefficient of z on the left side. We do this by rationalizing the denominators and multiplying them by their complex conjugates:
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3-2i}{1+i}\cdot\dfrac{1-i}{1-i} - \dfrac{5+3i}{1+2i}\cdot\dfrac{1-2i}{1-2i}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{(3-2i)(1-i)}{1-i^2} - \dfrac{(5+3i)(1-2i)}{1-(2i)^2}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 2i - 3i + 2i^2}{1-(-1)} - \dfrac{5 + 3i - 10i - 6i^2}{1-4(-1)}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 5i + 2(-1)}2 - \dfrac{5 - 7i - 6(-1)}5[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2 - \dfrac{11 - 7i}5[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2\cdot\dfrac55 - \dfrac{11 - 7i}5\cdot\dfrac22[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{5 - 25i - 22 + 14i}{10}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = -\dfrac{17 + 11i}{10}[/tex]
So, the equation is simplified to
[tex]-\dfrac{17+11i}{10} z = \dfrac12 - \dfrac{2i}5[/tex]
Let's combine the fractions on the right side:
[tex]\dfrac12 - \dfrac{2i}5 = \dfrac12\cdot\dfrac55 - \dfrac{2i}5\cdot\dfrac22[/tex]
[tex]\dfrac12 - \dfrac{2i}5 = \dfrac{5-4i}{10}[/tex]
Then
[tex]-\dfrac{17+11i}{10} z = \dfrac{5-4i}{10}[/tex]
reduces to
[tex]-(17+11i) z = 5-4i[/tex]
Multiply both sides by -1/(17 + 11i) :
[tex]\dfrac{-(17+11i)}{-(17+11i)} z = \dfrac{5-4i}{-(17+11i)}[/tex]
[tex]z = -\dfrac{5-4i}{17+11i}[/tex]
Finally, simplify the right side:
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{5-4i}{17+11i} \cdot \dfrac{17-11i}{17-11i}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{(5-4i)(17-11i)}{17^2-(11i)^2}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44i^2}{289-121(-1)}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44(-1)}{410}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 123i}{410}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 41\cdot3i}{410}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{1 - 3i}{10}[/tex]
So, the solution to the equation is
[tex]z = -\dfrac{1-3i}{10} = \boxed{-\dfrac1{10} + \dfrac3{10}i}[/tex]
y=3x+5 what are the missing values
A.) ONLY (2,11)
B.) ONLY (3,13)
C.) BOTH (2,11) and (3,13)
D.) NEITHER
Answer:
A
Step-by-step explanation:
so first substitute 2 into the x so 3*2=6 then and 5+6= 11 then substitute 11 into the y and boom it works. (3,13) doesnt work because if you substitute them in 3*3=9 then 9+5=14 but we needed 13 so only (2,11) works.
Find the equation for the linear function based upon this table. y = mx + b
y -6 -2 2 6 10
x -4 -2 0 2 4
Answer:
y = 2x + 2
Step-by-step explanation:
for each rise of 4 in y
there is a run of 2 in x
m = rise/run
m = 4/2
m = 2
when x = 0, y = 2
therefor the y-intercept, b = 2
y = mx + b
y = 2x + 2
A die is weighted in such a way that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5. Find the probability
distribution?
Considering that each of 2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, the probability distribution is given by:
[tex]P(X = 1) = 0.1111[/tex]
[tex]P(X = 2) = 0.2222[/tex]
[tex]P(X = 3) = 0.1111[/tex]
[tex]P(X = 4) = 0.2222[/tex]
[tex]P(X = 5) = 0.1111[/tex]
[tex]P(X = 6) = 0.2222[/tex]
The symbolic distribution is:
[tex]P(X = 1) = y[/tex]
[tex]P(X = 2) = x[/tex]
[tex]P(X = 3) = y[/tex]
[tex]P(X = 4) = x[/tex]
[tex]P(X = 5) = y[/tex]
[tex]P(X = 6) = x[/tex]
The sum of all probabilities is 1, hence:
[tex]3x + 3y = 1[/tex]
Simplifying by 3:
[tex]x + y = 0.3333[/tex]
[tex]y = 0.3333 - x[/tex]
2, 4, and 6 is twice as likely to come up as each of 1, 3, and 5, hence:
[tex]x = 2y[/tex]
[tex]x = 2(0.3333 - x)[/tex]
[tex]3x = 0.6667[/tex]
[tex]x = \frac{0.6667}{3}[/tex]
[tex]x = 0.2222[/tex]
Then:
[tex]y = 0.3333 - x = 0.3333 - 0.2222 = 0.1111[/tex]
Hence, the distribution is:
[tex]P(X = 1) = 0.1111[/tex]
[tex]P(X = 2) = 0.2222[/tex]
[tex]P(X = 3) = 0.1111[/tex]
[tex]P(X = 4) = 0.2222[/tex]
[tex]P(X = 5) = 0.1111[/tex]
[tex]P(X = 6) = 0.2222[/tex]
A similar problem is given at https://brainly.com/question/24855677
: Two manufacturers supply paper cups to a catering service. Manufacturer A supplied 100 packages and 5 were damaged. Manufacturer B supplied 50 packages and 3 were damaged. If a package is damaged, find the probability that it came from Manufacturer A.1 I.e., Find probability P(Manu
If a package is damaged, the probability that it came from Manufacturer A is 62.5%.
Given that two manufacturers supply paper cups to a catering service, and manufacturer A supplied 100 packages and 5 were damaged, while Manufacturer B supplied 50 packages and 3 were damaged, to determine, if a package is damaged, the probability that it came from Manufacturer A, the following calculation must be performed:
5 + 3 = 100 5 = X 5 x 100/8 = X 62.5 = X
Therefore, if a package is damaged, the probability that it came from Manufacturer A is 62.5%.
Learn more in https://brainly.com/question/23044118
consider the following :
[tex]f(x) = {x}^{2} - x + 2 \div x - 2 = x + 1 + 4 \div x - 2[/tex]
which polynomials do you think we should call the divisor,dividend,quotient and remainder ?
Step-by-step explanation:
remainder=4
quotient=x+1
divisor=x-2
dividend=x^2 -x +2
a small square garden has an area of 25 square yards. how long is each side of the garden?
Answer:
Step-by-step explanation:
A square has an area of base times height which is identical to base.
If x is the length of a side, A = x•x = x²
x² = 25
x = √25
x = 5 yards
The difference of a number and six is negative four
no link no bot please right fast but right
Answer:
12 in
Step-by-step explanation:
3in + 3in + 3in + 3in = 12
Find the angles of a triangle which are in the ratio 4:3:2.
Answer:
80o, 60o, 40o
Step-by-step explanation:
The sum has to add up to 180 degrees because of the three sides and this is what matches.
Answer:
Let the given angles of the triangle be 4x, 3x and 2x.
We know that the sum of all interior angles of a triangle is 180°.
Therefore,
4x+3x+2x = 1809x = 180x = 180/9x = 20Hence, the angles of the triangle are -
4x = 4×20 = 80°3x = 3×20 = 60°2x = 2×20 = 40°A radio tower is located 425 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 30 ∘ ∘ and that the angle of depression to the bottom of the tower is 26 ∘
. How tall is the tower?
The height of the tower is 452.66 ft
The situation will form 2 right angle triangle. One above the line of sight
and one below the line of sight.
Therefore,
Using trigonometric ratio,
tan ∅ = opposite / adjacent side
tan 30° = h(top of the tower) / 425
h(top of the tower) = tan 30 × 425 = 245.373864406
tan 26° = h(bottom of the tower) / 425
h(bottom of the tower) = 425 × tan 26° = 207.28635014
Therefore,
Height of tower = h(top of the tower) + h(bottom of the tower)
Height of tower = 245.37 + 207.29 = 452.66 ft
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What is 5 times 9 divided 5 add 40 subtract 100
Answer:
-51
Step-by-step explanation:
D.Solve the following problems.Show your solution
1.A boy ran a distance of 5.8 kilometers. How many meters did he run?
2. Jose walks 378 meters while Rene walks 0.67 kilometers.What is the difference between the distances which they walked,in centimeters
SHOW YOUR SOLOTION PLSSS
I will ggive u points
sana
please help meeeee c:
Answer:
x = - 2
Step-by-step explanation:
Don't let the points disturb you. They are actually meant to confuse you.
The expression on the left side of an equation is shown below.
-4(x-2)+5x=0
If the equation has no solution, which expression can be written in the box on the other side of the equation?
2(x+4) - x
O x + 8
O 4(x + 2) - 5x
Ο Χ
Answer:
x + 8
Step-by-step explanation:
Expanding the equation
-4(x-2)+5x = -4(x-2)+5x
= -4x+8+5x
= -4x+5x + 8
= x+8
1. Write the equation of a horizontal line that passes through the point (–2, 2). x = –2 y = –2 y = 2 x = 2
Answer:
x = 2
Step-by-step explanation:
The given point is (-2, 2). A horizontal line passing through this point is x = 2.
can i have some help pls
Answer:
the first recipe
Step-by-step explanation:
We can answer by finding the ratio of nuts to cereal. The one that has the higher ratio of nuts to cereal is the nuttier one.
Recipe 1: 2 1/2 cups of nut per 5 cups of cereal.
nuts to cereal ratio = 2 1/2 : 5 = 1 : 2
Recipe 2: 1 cups of nuts per 3 cups of cereal.
nuts to cereal ratio = 1 : 3
1 : 2 is a higher ratio than 1 : 3
Answer: the first recipe
Which equation has the correct sign on the product?
a. 27(-5)=-135
b. 22 x 4= -88
c. (-4)(-4)= -16
d. (-61)(3)= 183
Answer: a.
Would appreciate brainly <3
what is 282.74 in terms of pi
Answer:
90π
Step-by-step explanation:
282.74 / π
282.74 / 3.14159 = 90
282.74 = 90π
To solve the given system by elimination, what is the first step to take? A) Rewrite each equation in standard form, ax + by = c. B) Multiply 2x + y + 1 = 0 by −3. C) Multiply 2x + y + 1 by −2. D) Combine the equations by adding like terms.
Answer:
option d
Step-by-step explanation:
Your should have attached the equation for answer to be explained
What is the value of y in the following system of equation3x-4y=-20 -x+2y=10
A recipe asks for 4 1/2 pounds of chicken.
How many pounds of chicken are needed to make 1/2 of a recipe?
Express the answer in simplest form.
Enter the answer in the box.
Answer:
2/1/2 you need 2and 1/2 of chicken
PLEASE HELP WILL MARK BRAINEST
If I || m, find the values of x and y.
Answer:
x = 8, y = 89/9
Step-by-step explanation:
Because of parallel lines, some angles are the same, see the attached image. That also means that (12x-28) + (9y-77) = 180 because they are half of an angle. So:
(12x-28) + (9y-77) = 180 ->
12x + 9y = 185.
Then,
(7x+12) = (12x-28) ->
x = 8.
We can plug that into the last equation:
12(8) + 9y = 185 ->
y = 89/9
:)
Repost
A group of tourists are on a three-day hiking trip. They hike ⅛ of the trail on the first day. On the second day, they hike 4/7 of the remaining distance. On the third day, they hike 1/3 of the remaining distance, plus the final 8 km. How many kilometers long is the trail?
Answer:
You told me to resolve this question
How many solutions are there to the equation shown below?
4(2x−3)−2x=6x+8
pls answer ASAP I will give brainliest to the first
Answer:
0 = 20
Step-by-step explanation:
4(2x−3)−2x=6x+8
8−12−2=6+8
combine like terms.
8x−12−2x=6x+8
6−12=6+8
Add 12 to both sides of the equation
6x−12=6x+8
6−12+12=6+8+12.