Answers
Answer:
JK = 16√2
Step-by-step explanation:
This triangle is a special case right triangle, where you have 1 90-degree angle and 2 45-degree angles. The sides that correspond to the 45-degree angles are scalable by 1 and the hypotenuse is scalable by √2. Sometimes these are called 1-1-√2 triangles, describing the measurements of the sides.
Since this has a side of 16, the hypotenuse will be 16√2.
Cheers.
Related Questions
Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table: Color of Tile Number of times the tile is drawn
i
6 purple, 18 pink, 26 orange
i
What is the experimental probability that Jenny will pull out a purple tile?
Answers
Answer:
6/50
Step-by-step explanation:
Jenny pulled out 6 purple tiles out of the 50 trials
Answer: The experimental probability of Jenna pulling a purple tile is 6/50.
Step-by-step explanation:
In her experiment, Jenna pulled out 6 purple tiles out of the 50 total tiles she pulled. This would make the experimental probability of her pulling out a purple tiles 6/50.
i need help plzzzzz
Answers
Answer:
A
Step-by-step explanation:
Given
f(x) = [tex]\frac{3+x}{x-3}[/tex]
To evaluate f(a + 2), substitute x = a + 2 into f(x)
f(a + 2) = [tex]\frac{3+a+2}{a+2-3}[/tex] = [tex]\frac{5+a}{a-1}[/tex] → A
Pls answer this question with steps (proof).
Answers
Answer:
Step-by-step explanation:
Since triangle BCE is a right angle triangle, we would determine angle BEC by applying the tangent trigonometric ratio. Therefore,
Tan BEC = 6/3 = 2
Angle BEC = Tan^-1(2)
Angle BEC = 63.4°
The sum of the angles on a straight line is 180°. This means that
Angle AED + angle DEC + angle BEC = 180
Angle AED = 180 - (45 + 63.4) = 71.6°
Angle ADE = angle AED = 71.6°
Angle CDE + angle ADE = 180(sum of angles on a straight line)
Angle CDE = 180 - 71.6 = 108.4°
To get line EC, we would apply Pythagoras theorem. Therefore
EC² = 3² + 6² = 45
EC = √45 = 6.71 cm
The sum of the angles in a triangle is 180°
Therefore,
Angle ECD = 180 - (45 + 108.4) = 26.6°
By applying sine rule,
6.71/sin108.4 = ED/sin26.6 = DC/Sin45
6.71/sin108.4 = ED/sin26.6
Cross multiplying, it becomes
6.71sin26.6 = EDsin108.4
ED = 6.71sin26.6/sin108.4
ED = 3.00608/0.949 = 3.18cm
The area of a triangle is
Area = 1/2abSinC
Therefore, area of triangle EDC = 1/2 ×
ED × EC × SinDEC
Area = 1/2 × 6.71 × 3.18 × sin45
Area = 1/2 × 6.71 × 3.18 × 0.707
Area = 7.54 cm²
Find all solutions of the equation in the interval [0, 2pi).
2 cos 0 - 13 = 0
Write your answer in radians in terms of t.
If there is more than one solution, separate them with commas.
Answers
Answer:
The solutions of 2·cos(θ) - √3 = 0in the interval [0, 2pi) are;
π/6, 13/6·π
Step-by-step explanation:
The given that the equation is 2·cos(θ) - √3 = 0
The solution of the above equation in the interval [0, 2pi) are required
Therefore, the domain includes 0 ≤ θ < 2pi
2·cos(θ) - √3 = 0
2·cos(θ) = √3
cos(θ) = √3/2
Therefore;
θ = cos⁻¹(√3/2)
The values are;
[tex]\theta =\dfrac{12 \cdot \pi \cdot n_1 +\pi }{6} \, or \, \theta =-\dfrac{12 \cdot \pi \cdot n_1 +\pi }{6}[/tex]
Where the domain is 0 ≤ θ < 2pi, we have;
π/6, 13/6·π
Solve for x. Write both solutions, separated by a
comma.
7x2 - 4x - 3=0
Answers
Answer:
x = - 3/7 or x = 1Step-by-step explanation:
7x² - 4x - 3 = 0
Rewrite - 4x as a difference
That's
7x² - 7x + 3x - 3 = 0
Factorize the expression
7x( x - 1) + 3 ( x - 1) = 0
(7x + 3)( x - 1 ) = 0
7x + 3 = 0 x - 1 = 0
7x = - 3 x = 1
x = -3/7
The solutions are
x = - 3/7 or x = 1
Hope this helps you
Which shape has two sets of parallel sides only? quadrilateral rectangle parallelogram rhombus
Answers
How to do this question plz answer me step by step plzz plz
Answers
In general and here, when we have an object with a constant cross section of area A, the volume V = A L, where L is the length.
L = V / A = 330 / 55 = 6 cm
Answer: 6 cm
Wesimann Co. Issued 13-year bonds a year ago at a coupon rate of 7.3 percent. The bonds make semiannual payments and have a par value of $1,000. If the YTM on these bonds is 5.6 percent, what is the current bond price?
Answers
Answer:
Current Bond price = $1155.5116
Step-by-step explanation:
We are given;
Face value; F = $1,000
Coupon payment;C = (7.3% x 1,000)/2 = 36.5 (divided by 2 because of semi annual payments)
Yield to maturity(YTM); r = 5.6%/2 = 2.8% = 0.028 (divided by 2 because of semi annual payments)
Time period;n = 13 x 2 = 26 years (multiplied by 2 because of semi annual payments)
Formula for bond price is;
Bond price = [C × [((1 + r)ⁿ - 1)/(r(r + 1)ⁿ)] + [F/(1 + r)ⁿ]
Plugging in the relevant values, we have;
Bond price = [36.5 × [((1 + 0.028)^(26) - 1)/(0.028(0.028 + 1)^(26))] + [1000/(1 + 0.028)^(26)]
Bond price = (36.5 × 18.2954) + (487.7295)
Bond price = $1155.5116
HELLLLLPPPPPPPPPPPPpppppppppppppp
Answers
Answer:
22.9 or round it up to 23
Step-by-step explanation:
SOHCAHTOA
C=A/H
acos (35/38)
=22.9
Evaluate 55 ÷ 11 + (13 x 3)
Answers
Step-by-step explanation:
55 ÷ 11 + (13 x 3)
5 + (13 x 3)
5 + 39
44
Answer:
44
Step-by-step explanation:
13 * 3 = 39
55/11 = 5
5 + 39 = 44
I hope I helped! Please mark me brainliest!
The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answers
Answer:
Correct answer is option D. 96.4 yd.
Step-by-step explanation:
Please refer to the attached figure for labeling of the given diagram.
ABC is a triangle with the following labeling:
A is the hole, B is the Tee and C is the point where the ball is.
Sides are labeled as:
[tex]a =255\ yd\\c = 305\ yd\\\angle B =17^\circ[/tex]
To find:
Side [tex]b = ?[/tex]
Solution:
Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.
We can use cosine formula here to find the value of the unknown side.
[tex]cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]
Putting all the values:
[tex]cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd[/tex]
So, the distance between the Ball and hole is 96.42 yd
Correct answer is option D. 96.4 yd.
Answer:
D.) 96.4 yd
Step-by-step explanation:
I got it correct on founders edtell
NEED HELP ASAP I DONT GET THIS
Answers
Answer:
x = 60
Step-by-step explanation:
In a circle, the sum of the angles that meet at a point is 360 degrees. So now that we have the total, we can subtract all the given information in the picture. We have 84, 75, 68, and x + 73. Now let us set up and equation for this problem.
360 = 84 + 75 + 68 + x + 73
Now combine like terms.
360 = x + 300
Now subtract 300 on both sides.
x = 60
And this is the value of x.
Answer:
50 degrees
Step-by-step explanation:
84 + 75 + 68 = 227
227 - 360 = 133
133 - 73 = 50
The answer is 50 degrees.
Which set of events is an example of dependent events?
A. Rolling an odd number, and then rolling an even number.
B. You choose a number from 1 to 50 from a hat, replace it, and then draw a second number.
C. You choose a marble from a bag, don't replace it, and then choose another marble.
D. You roll a 4, and then spin yellow on a spinner.
Answers
C.
Because the marble is not replaced and that affects the next event where another marble is chosen.
Dependent events:
It is the event where one event outcome is dependent on the other event outcome.
Independent events:
It is the event where one event outcome is not dependent on the other event outcome.
You choose a marble from a bag, don't replace it, and then choose another marble.
This is a dependent event.
Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.
Option C is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Dependent events:
It is the event where one event outcome is dependent on the other event outcome.
Independent events:
It is the event where one event outcome is not dependent on the other event outcome.
Now,
A. Rolling an odd number, and then rolling an even number.
This is an independent event.
B. You choose a number from 1 to 50 from a hat, replace it, and then draw a second number.
This is an independent event.
C. You choose a marble from a bag, don't replace it, and then choose another marble.
This is a dependent event.
Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.
D. You roll a 4 and then spin yellow on a spinner.
This is an independent event.
Thus,
You choose a marble from a bag, don't replace it, and then choose another marble.
This is a dependent event.
Since we are not replacing the first marble outcome that is chosen, the next marble outcome is dependent on the first outcome.
Option C is the correct answer.
Learn more about probability here:
https://brainly.com/question/14099682
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The average age of 15 students is 16 years. If teacher’s age is included the average increases
by 1. Find teacher’s age
Answers
31
because 15 +16 :31
[tex]. = y1 = \times [/tex]
Please answer answer question answer
Answers
Answer:
346.38022
Step-by-step explanation:
Using Law of Sines, we know that v=50
[tex]\frac{34}{sin(36)}=\frac{x}{sin(24)}[/tex]
Area = ab·sin(C) /2
[34x50xsin(24)]/2
=346.38022
Answer:
i think he/she is right
Step-by-step explanation:
I am starting to get this but, each question is a different subject so plz help asap. Btw these are not test or quiz questions. They are just practice questions so I know how to do it before a test or quiz.
Answers
Answer:
73 degrees
Step-by-step explanation:
Given
A Shaped Frame of two congruent sides
Required
Determine the angle made with the ground
Given that there are two congruent sides, this implies that the A frame is an isosceles triangle;
Let the two angles made with the ground be represented by x
Angles in a triangle when added equals 180;
Hence;
[tex]x + x + 34 = 180[/tex]
[tex]2x + 34 = 180[/tex]
Subtract 34 from both sides
[tex]2x + 34 - 34 = 180 - 34[/tex]
[tex]2x = 180 - 34[/tex]
[tex]2x = 146[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} = \frac{146}{2}[/tex]
[tex]x = \frac{146}{2}[/tex]
[tex]x = 73[/tex]
Hence, the angle with the ground is 73 degrees
Justin weighed 8 lb 12 oz when he was born. At his two-week check-up, he had gained 8 ounces. What was his weight in pounds and ounces?
Answers
Answer:
9 lb 4 oz
Step-by-step explanation:
Justin weighed 8 lb 12 oz at birth. He gained 8 ounces by his two-week checkup. So,
8 lb 12 oz + 8 oz = 8 lb 20 oz
But, 16 oz equals one pound. So,
20 oz = 1 lb with 4 oz remaining
Now add them together.
8 lb + 1 lb 4 oz = 9 lb 4 oz
Justin's weight is 9 lb 4 oz.
Hope that helps.
(pic inside) What is the approximate value of the function at x = 1?
Answers
Answer: -2
Step-by-step explanation:
When x = 1, y = -2.
Hope it helps <3
Factoriza e indica la cantidad de factores primos: P(m) = a(m+1) + b(m+1) –c(m+1)
A) 2
B) 3
C) 5
D) 1
E) 4
Answers
Answer:
Step-by-step explanation:
P (m) = a (m + 1) + b (m + 1) - c (m + 1)
P (m) = (a + b - c) (m + 1)
There are 2 prime factors
p=E/x+Y express x in terms of p,e and y
Answers
Answer:
x = E/(p - y)
Step-by-step explanation:
p - y = e/x
x(p-y) = e
x = e/(p-y)
Answer:
Hey there!
p=e/x+y
p-y=e/x
x(p-y)=e
x=e/(p-y)
Hope this helps :)
pls say me the 12th qns
Answers
Answer:
Step-by-step explanation:
12) p & q are parallel lines , n is transversal
4z = 108 { corresponding angles are congruent}
Divide both sides by 4
z = 108/4
z = 27°
n & m are parallel lines , p is transversal
3y = 4z { corresponding angles are congruent}
3y = 4 * 27
y = [tex]\frac{4*27}{3}[/tex]
y = 4*9
y = 36°
n & l are parallel lines, q is transversal
6x = 108 { corresponding angles are congruent}
x = 108/6
x = 18°
What is the sum of 3x to the second power +2x-1
Answers
Answer:
[tex]3x^2+2x+1[/tex]
Step-by-step explanation:
Sum means to add and second power means that the exponent is "2". So, the expression is:
=> [tex]3x^2+2x+1[/tex]
It cannot be simplified further.
An old wheat-grinding wheel in a museum actually works. The sign on the wall says that the wheel has a rotational acceleration of 180 rad/s 2 as its spinning rotational speed increases from zero to 1700 rpm. How long does it take the wheel to attain this rotational speed?
Answers
Answer:
It will take 0.989 second to attain this speed
Step-by-step explanation:
In this question, we want to calculate the time it will take for the wheel of the machine to attain the given rotational speed
We proceed as follows;
From the question, we can identify the following parameters
Rotational acceleration of the wheel is, α = 180 rad/s^2
Initial spinning rotational speed of the wheel is, ω= 0 rpm
1 rpm = (1/60) revolution per second = 2π * (1/60) rad/s
Thus,
initial rotational speed ωi = 0 rad/s
Final spinning rotational speed ωf of the wheel is, = 1700 rpm =178.02 rad/s
Now, from the equations of motion (for rotational motions),
ωf = ωi + αt
where t is the time taken by the wheel to attain its final rotational speed.
178.02= 0 + 180 * t
t = 178.02/180
t = 0.989 second
Which of these shows the result of using the first equation to substitute for y
in the second equation, then combining like terms?
y = 2x
2x + 3y = 16
O A. 8x= 16
OB. 5x = 16
O C. 4x= 16
O D. 5y = 16
Answers
since 2x+3(2x)=16
Hence 8x=16
Answer:A
Step-by-step explanation:
BIG BRAIN
Samin can run 5 kilometers in 30 minutes. Assuming she keeps a constant pace, how many kilometers can she run in 45 minutes? URGENT ANSWERS PLEASE!
Answers
Answer:
7.5kilometer
Step-by-step explanation:
for 30mins semin runs 5kilometer
then for 1min: (1min×5kilometer)÷30mins,
therefore, for 45mins: (45mins×5kilometer)÷30mins=7.5kilometer
From the given information:
We are being informed that Samin can run for 5 kilometers in 30 minutes;
If Samin can run such a kilometer in 30 minutes;
5 kilometers = 30 minutes
∴
In x kilometers = 45 minutes
By cross multiplying;
(x × 30 minutes) = 5 kilometers × 45 minutes
30x = 225 kilometer/minutes
[tex]x = \dfrac{225 \ kilometer/minutes}{30 minutes}[/tex]
[tex]\mathbf{x = 7.5 \ kilometers}[/tex]
Therefore, we can conclude that the Samin can run 7.5 kilometers in 45 minutes.
Learn more about word problems here:
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What is the complete factorization of the polynomial below?
x3 + 3x2-x-3
Answers
Step-by-step explanation:
[tex]( {x}^{2})(x + 3) - (x + 3)[/tex]
[tex](x + 3)( {x}^{2} - 1) [/tex]
[tex](x - 1)(x + 1)[/tex]
[tex](x - 1)(x + 1)(x + 3)[/tex]
Hope this is correct and helpful
HAVE A GOOD DAY!
Answer:
(x+1) (x-1) (x+3)
Step-by-step explanation:
. .....................
In an examination 1/3 of the total student used unfair means and out of which 1/4 caught red handed while cheating. If 5 student caught red handed then find the total number of student appeared in exam
Answers
Answer:
total number of students =60
Step-by-step explanation:
total number of students 60
used unfair means 1/3= 20
1/4 caught red handed 1/4 of 20= 5
50 Pts!! Brainliest!! Answer ASAP, pls. Thx.
Answers
Answer:
Choice A
Step-by-step explanation:
First, let's simplify the equation. We get [tex]\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }[/tex] . Then, we can simplify. We now have [tex]\frac{3^{-3}m^{5} }{6n}[/tex] . To get rid of the negative exponent, we multiply the top and bottom by 3^3 to get [tex]\frac{m^{2} }{6nx3^{3} }[/tex]. Note that the x in the denominator stands for multiplication. 3^3 = 27, so we have [tex]\frac{m^{5} }{6n(27)} = \frac{m^{5} }{162n}[/tex]
Answer:
m^5/ 162 n
Step-by-step explanation:
( 3 m^-2 n) ^-3 / (6mn^-2)
We know a^ -b = 1/ a^b
1 / ( 3 m^-2 n) ^3 *(6mn^-2)
Distribute the power of 3
1 / ( 3^3 m^ -2 ^ 3 n^3) * ( 6m n^-2)
We know a^ b^ c = a^ ( b*c)
1 / ( 27 m^( -2 * 3) n^3) * ( 6m n^-2)
1 / ( 27 m^( -6) n^3) * ( 6m n^-2)
We know a^b * a^c = a^ ( b+c)
1 / ( 27*6 m^( -6+1) n^(3-2))
1/ (162 m^ -5 n^1)
We know a^ -b = 1/ a^b
m^5/ 162 n
When you conduct a t test, the calculated value of t can be negative. True/False
Answers
Answer:
True.
Step-by-step explanation:
In t-test test the value of t can be either negative or positive.
If value of t is negative, then it lies to the left of the mean.
If value of t is Positive, then it lies to the right of the mean.
The given statement is "When you conduct a t test, the calculated value of t can be negative.".
Therefore, the given statement is true.
-1 1/6 ÷ (-4 2/3) Help pls
Answers
Answer:
1/4
Step-by-step explanation:
-1 1/6 ÷ (-4 2/3)
Change to improper fractions
- ( 6*1 +1)/6 ÷ -(3*4 +2)/3
-7/6÷ -14/3
Copy dot flip
-7/6 * -3/14
Rewriting
-7/14 * -3/6
-1/2 * -1/2
1/4
