Answers
Answer:
17.1
Step-by-step explanation:
tan(35)=12/x, x=17.1
Answer:
x ≈ 17.1
Step-by-step explanation:
The angle is 35 degrees, so we do tan(35)
Which equals the side divided by x.
tan(35) = 12 / x
So x ≈ 17.1
Related Questions
help me with this question: Find y
Answers
Answer:
y = 4
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 45
Hypothenus = 4√2
Adjacent = y =?
The value of y can be obtained by using cosine ratio as illustrated below:
Cos θ = Adjacent / Hypothenus
Cos 45 = y / 4√2
Cross multiply
y = 4√2 × Cos 45
Recall
Cos 45 = 1 / √2
Therefore,
y = 4√2 × 1/√2
y = 4
Alex wants to test the reliability of “lie detector tests,” or polygraph tests. He performs a polygraph test on a random sample of 12 individuals. If there is more than a 50% chance that the tests result in no false positives (that is, the test does not result in a true statement being recorded as a lie), Alex will conclude that the tests are reliable. If the probability of a lie detector test resulting in a false positive is 5.5%, what will Alex conclude? Use Excel to find the probability, rounding to three decimal places.
Answers
The correct statement is test is reliable and authentic as the probability of no false positives is more than 0.5
Given that
[tex]H_o:P= 0.50\\\\H_1:P>0.50[/tex]
Now following calculations to be done to reach the conclusion:
There is no false positive as
= 100 - 5.5
= 94.5%
[tex]\hat P =0.945, n = 12[/tex]
Now
[tex]z = \frac{\hat P - P}{\sqrt\frac{P(1-P)}{n} }\\\\=\frac{0.945-0.5}{\sqrt\frac{0.5\times0.5}{12} } \\\\= 3.08[/tex]
So
P value = P(z >3.08) = 0.0010
Therefore we can conclude that test is reliable and authentic as the probability of no false positives is more than 0.5
Learn more about the polygraph test here:
brainly.com/question/3790493
Factorise.. 25a sq. - 9b sq. please tell the answer
Answers
Answer:
(5a + 3b)(5a - 3b)Step-by-step explanation:
Given,
[tex] {25a}^{2} - {9b}^{2} [/tex]
[tex] = {(5a)}^{2} - {(3b)}^{2} [/tex]
Since,
[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]
Then,
= (5a + 3b)(5a - 3b) (Ans)
Consider the triangle
Which statement is true about the lengths of the sides?
6 C5
45
O Each side has a different length.
O Two sides have the same length, which is less than
the length of the third side.
O The three sides have the same length
O The sum of the lengths of two sides is equal to the
length of the third side.
45
search
BI
59°F Clear
Answers
Answer:
b
Step-by-step explanation:
The triangle is an isoceles triangle since there are 2 equal angles. Hence, 2 sides would be the same length. Since its a right angled triangle, the hypotenuse (third side) would always be longer than the 2 equal sides.
for f (x)= -x + 8, what is the value of x for which f(x) = 9?
Answers
Answer:
x=-1
Step-by-step explanation:
f (x)= -x + 8
Let f(x) = 9
9 = -x+8
Subtract 8 from each side
9-8 = -x+8-8
1 = -x
Multiply each side by -1
-1 = x
Which of the following is 1 2 over 4 in its simplest form?
Answers
Answer:
its 3
Step-by-step explanation:
3 is your answer I hope this help
Answer:
i don' know
Step-by-step explanation:
Fill in the missing statements and reasons in the proof
Answers
Answer:
1. Given
2. Vertical angle theorem
3. AB≅DB, EB≅CB, m<ABC≅m<DBE
4. △ABC ≅ △DBE
Hope this helps :D
solve the inequality and graph the solution
-5-7x < -40
Answers
Answer:
x > 5
Step-by-step explanation:
-5-7x < -40
Add 5 to each side
-5+5-7x < -40+5
-7x < -35
Divide by -7, remembering to flip the inequality
-7x/-7 > -35/-7
x > 5
Open circle at 5, going to the right
if tge angle at the center is 62° and the radius is 12 cm.. find the length of arc
Answers
Answer:
Step-by-step explanation:
r = 12 cm
Theta = 62
Length of arc = [tex]\frac{theta}{360}*(2\pi r)[/tex]
[tex]=\frac{62}{360}*2*3.14*12[/tex]
= 12.98 cm
x^2-4x^2y^2+y^2+2*x*y
Answers
Answer:
(x + y - 2xy)*(x + y + 2xy)
Step-by-step explanation:
x^2-4x^2y^2+y^2+2*x*y
=x^2 + 2xy + y^2 - (2xy)^2
=(x + y)^2 - (2xy)^2
=(x + y - 2xy)*(x + y + 2xy)
What is 4 1⁄2 cm in millimetres
Answers
Answer:
the answer is 205 millimeters
Answer:
205 millimeters.
Step-by-step explanation:
just is
Given m|n, find the value of x.
(6x+9)
(4x-19)
Answer:
Submit Answer
attempt i out of 2
I NEED HELP PLS
Answers
Answer:
x = 19
Step-by-step explanation:
The angles sum are complementary so they will sum to 180
(6x+9) +(4x-19) = 180
Combine like terms
10x - 10 = 180
Add 10 to each side
10x-10+10 =180+10
10x =190
Divide by 10
10x/10 = 190/10
x = 19
Can someone verify if this is correct?
I used cosec because the others didn’t work
Answers
¿Qué valor de m creará un sistema de líneas paralelas sin solución? y = mx - 6 8 x - 4 y = 12 Una cuadrícula de coordenadas con una línea etiquetada como 8 x menos 4 y es igual a 12. La línea pasa por un punto en (0, menos 3), (1, menos 1) y un punto en (1,5, 0). - 2 - 2
Answers
Answer:
Hello,
m=2
(0,-3) True
(1,-1) True
(1.5,0) True
(-2,-2) False
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y&=&mx-6\\8x-4y&=&12\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&mx-6\\y&=&2x-3\\\end{array}\right.\\\\\\The\ slope\ must\ be\ the\ same:\ m=2\\\\\\\begin{array}{c|c}&y=2x-3\\---&--------\\x&y\\0&2*0-3=-3\\1&2*1-3=-1\\1.5&2*1.5-3=0\\-2&2*(-2)-3=-7\\\end{array}[/tex]
PLS HELP ME RN I AM FAILING AND NEED HELP ITS PYTHAGOREAN THEOREM
Answers
Answer:
9.89949 or 9.9
Step-by-step explanation:
7^2 + 7^2 = c^2
49+49=98
square root of 98 = 9.89949
In this case 7^2 + 7^2 =c^2
49 + 49 = 98^2
But you dont want the second number squared so you find the square root if it. In this case square root 98 = 9.899494937
Since it say round to the nearest tenth however it will look more like this 9.9
Good Luck
Is the following number rational or irrational?
0.7
Choose 1 answer:
Rational
Irrational
Answers
Rational Number
Can someone help me out
Answers
Answer:
34
Step-by-step explanation:
Perimeter,
2×(8+5+4)
= 34 units
Answered by GAUTHMATH
Can someone help me out
Answers
Answer:
40.2
Step-by-step explanation:
Circumference = 2πr
Plug in:
2π6.4
6.4 × 2 = 12.8
π = 3.14
12.8 × 3.14 = 40.1920.... = 40.2
The answer is 40.2
Hope this helped.
Answer:
Your answer should be 20.1
Step-by-step explanation:
6.4 x 3.14= 20.096
Rounded to the nearest tenth is 20.1
hope this helps c:
Question No.b
Find the products or quotient in the exponential forms by using law of indices
The answer will be :- 3^9
Answers
Answer:
3*6 × 3*-3 × 3*6
3*(6-3+6)
3*9
HELP ASAP!!!
Find the length of AB.
6 in
30°
В
AB = [? ]in
Answers
Answer:
30/360 ×π r^2 = AB
AB = 30 /360 × π ×6^2
AB = 9.42 IN
Tina's book bag contains 12 fiction books and 4 non-fiction books. What percentage of the
books is non-fiction?
Help! Homework due at 6:30 help ASAP! Thank you!
Answers
25%
Step-by-step explanation:
# of non-fiction books ÷ # of total books = percentage of non-fiction books
4 non-fiction books + 12 fiction books = 16 total books
4 non-fiction books divided by 16 total books = percentage of non-fiction books
4÷16= 0.25
0.25 x 100 = 25%
Answer: 0.48 percent
Step-by-step explanation:
solve for y.
y + 5.74 = 9.62
Answers
Answer:
3.88
Step-by-step explanation:
1. Subtract 5.74 from both sides of the equation
9.62-5.74=3.88
2a( 3a + b)- 3a(2a+4b)
Answers
Answer:
-10ab
STEP BY STEP EXPLANATION
2a (3a + b) -3a(2a +4b)
6a² + 2ab - 6a²- 12ab
2ab-12ab 6a²-6a²
-10ab
Hope this will help you if not then sorry :)
Answer:
[tex]2a( 3a + b)- 3a(2a+4b)[/tex]
Expand by distributing terms.
[tex]6a ^{2} +2ab-3a(2a+4b)[/tex]
Expand by distributing terms.
[tex]6a 2+2ab-(6a^{2} +12ab)[/tex]
Remove parentheses
.[tex]6a ^{2} +2ab-6a^{2} -12ab[/tex]
Collect like terms.
[tex](6a^{2}-6a^{2})+(2ab-12ab)[/tex]
[tex]=-10ab[/tex]
OAmalOHopeO
Dan was thinking of a number. Dan halves the number and gets an answer of 18.8. Form an equation with x from the information.
Answers
Answer:
[tex]\dfrac{x}{2} = 18.8[/tex]
Step-by-step explanation:
Let x represent the number Dan was thinking about.
Half of the number, x = 18.8
Therefore, when x is divided by 2, the result is 18.8
The equation which can be formed with the given information is therefore;
[tex]\dfrac{x}{2} = 18.8[/tex]
What is the common difference for this arithmetic sequence?
54, 50, 46, 42, 38, ...
Answers
Answer:
B. 4
Step-by-step explanation:
54 - 4 = 50
50 - 4 = 46
46 - 4 = 42
42 - 4 = 38
Answer: D. -4
Step-by-step explanation: took the quiz and got it right.
-1/2(6x+10)=13 please help I’m a lil confused on it
Answers
Answer:
x=-6
Step-by-step explanation:
-1/2(6x+10)=13
Distribute
-3x -5 = 13
Add 5 to each side
-3x-5+5 = 13+5
-3x = 18
Divide by -3
-3x/-3 = 18/-3
x=-6
in a survey of Swami student it was found that 60% of student studies in math and 40% study science if 40% students study both the subject and 10% did not any of the subject by drawing of exam find the ratio of the number of students who is the distance to the total number of students
Answers
Answer:
Step-by-step explanation:
150% = 150 ÷ 100 150% = 1.5
PLS HURRY!! PLS
solve:-10k2+7
Answers
Answer:
Degree: 2
Polynomial type: Quadratic
Step-by-step explanation:
One is asked to identify the degree and type of polynomial when given the following expression:
[tex]-10k^2+7[/tex]
The degree of a polynomial refers to the exponent to which it is raised. In essence, the largest exponent in the expression. In this case, the largest exponent in this polynomial is (2). An expression to the second degree is referred to as a quadratic expression.
Help please, I need with the question
Answers
Answer: [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
tangent of ∠PLM = [tex]\frac{opposite}{adjacent} =\frac{4}{3}[/tex]
Answer:
PLM=4/3
Step-by-step explanation:
Pamela is 14 years younger than Jiri. The sum of their ages is 52. What is Jiri's age?
Answers
Answer:
33
Step-by-step explanation:
Pamela-x
Jiri-x+14
x+x+14=52
2x=52-14
2x=38
x=19-Pamela
19+14=33-Jiri
check: 19+33=52
Answer: Jiri is 33 years old, and Pam is 19.
Step-by-step explanation:
Let's put Jiri as x, and Pam as y. We know that Pam's and Jiri's age =52. Pam is 14 years younger than Jiri(x)
You can model the situation by two equations:
y=x-14
x+y=52
Substitute y into second equation
x+x-14=52
2x=66
x=33
Jiri is 33
and back to the first equation
y=33-14=19, Pamela's age.
