Answer:
13[tex]\sqrt{22}[/tex] / 44
Step-by-step explanation:
cos A = 9/13
here adjacent = 9 and hypotenuse = 13 opposite = ?
using pythagoras theorem to find opposite
a^2 + b^2 = c^2
9^2 + b^2 = 13^2
81 + b^2 = 169
b^2 = 169 - 81
b^2 = 88
b = [tex]\sqrt{88}[/tex]
b = [tex]2\sqrt{22}[/tex]
therefore opposite = [tex]2\sqrt{22}[/tex]
cosec A = hypotenuse/opposite
= 13/[tex]2\sqrt{22}[/tex]
rationalizing the denominator
=13/ [tex]2\sqrt{22}[/tex] * [tex]2\sqrt{22}[/tex] / [tex]2\sqrt{22}[/tex]
=13 *[tex]2\sqrt{22}[/tex] /( [tex]2\sqrt{22}[/tex] )^2
=26 [tex]\sqrt{22}[/tex] / 4*22
=26 [tex]\sqrt{22}[/tex] / 88
=13[tex]\sqrt{22}[/tex] / 44
Answer:
[tex]cosec A = \frac{13}{\sqrt{88}}[/tex]
OR
[tex]cosec A = \frac{13 \sqrt{22}}{44}[/tex]
Step-by-step explanation:
Formulas used:
[tex]cos^2 A = 1 - sin^2 A\\\\cosec A = \frac{1}{sin A}[/tex]
Given :
[tex]cos A = \frac{9}{13}[/tex]
Find cosec A
[tex]sin ^2 A = 1 - cos^2 A[/tex]
[tex]= 1 - (\frac{9}{13})^2\\\\= 1 - \frac{81}{169}\\\\=\frac{169 - 81}{169}\\\\=\frac{88}{169}[/tex]
[tex]sin A = \sqrt{\frac{88}{169}} = \frac{\sqrt{88}}{13}[/tex]
Therefore,
[tex]cosec A = \frac{1}{sin A} = \frac{1}{ \frac{\sqrt{88}}{13}} = \frac{13}{ \sqrt{88}}[/tex]
OR In a simplified form :
[tex]cosec A = \frac{13}{\sqrt{88}} \times \frac{\sqrt{88}}{\sqrt{88}} = \frac {13 \times \sqrt{4 \times 22}}{88} = \frac{13 \times 2 \sqrt{22}} {88} = \frac{13 \sqrt{22}}{44}[/tex]
Please help I’ll give brainliest
Answer:
The answer is 9².
Step-by-step explanation:
9⁵ = 59049
9³ = 125
59049 ÷ 125 (9⁵ ÷ 9³) = 81
9² (9 × 9) = 81
Which 3 expressions are equivalent to the
expression : 3x-12-2(x+12)
Answer:
second option , third option and last option
Step-by-step explanation:
3x - 12 - 2(x + 12)
=3x - 12 -2x - 24
=x - 36
Which expression represents the greatest value?
Answer:
"-2" is the same in all expressions, and it's just plus or minus. so let's ignore the "-2" and look only at the rest
+1 is the greatest then
so -2+1 is the greatest
pls tell the answer by step by step
The point lies in 2nd quadrant.
Answer:
second quadrant
Step-by-step explanation:
here , -2 is x component and y component is 5
since x component is negative and y component is positive it lies on the second quadrant.
Note: if both x and y component are positive then the point lies on first quadrant.
id x component is negative and y component is positive then the point lies on second quadrant.
if x both x and y component are negative then the point lies on third quadrant.
if x component is positive and y component then the point lies on fourth quadrant.
An aeroplane flies 1860 miles in 4 hours. What is its average speed?
Answer:
The average speed is 465 mph
Step-by-step explanation:
1860/4 = 465
Answer:
The average speed is 465 mph
Step-by-step explanation:
Average speed = distance/time
1860 miles / 4 hours = 465 mph
the average length of string a and string d is 10x cm . the average length of string b and string c is 8x cm . the average length of string b , c, d is 6x cm . find the length of string a is terms of x
Answer:
a= 18x
Step-by-step explanation:
(a+d)/2 = 10x (1)
(b +c)/2 = 8x (2)
(b+c+d)/3 = 6x (3)
From the equation 2, we have (b+c)= 8x *2 = 16x
From the equation 3, we have d= 6x*3 - (b+c)= 18x- 16x = 2x
From the equation 1, we have a= 10x*2 -d= 20x - 2x= 18x
in this given figure find the value of x
QUESTION:- find the value of x
ANSWER:-[tex]180 - 6x + 180 - 5x + 180 - 4x = 180 \\ 360 + 180 - 15x = 180[/tex]
[tex]360 - 15x = 180 - 180 \\ 360 = 15x \\ 24 \degree = x[/tex]
Answer:
x = 24
Step-by-step explanation:
The exterior angles of the triangle sum to 360° , that is
5x + 4x + 6x = 360
15x = 360 ( divide both sides by 15 )
x = 24
Nicole is looking at a map of her neighborhood she notices the mall is 30 miles south of your house and that the grocery stores 40 miles east of her house how far apart are the mall and the grocery store?
Answer:
Distance of grocery stores from mailbox = 50 miles
Step-by-step explanation:
Given:
Distance of grocery stores = 40 miles east
Distance of mailbox = 30 miles south
Find:
Distance of grocery stores from mailbox
Computation:
Hypotenuse² = Perpendicular² + Base²
Distance of grocery stores from mailbox = √30² + 40²
Distance of grocery stores from mailbox = √900 + 1600
Distance of grocery stores from mailbox = √2500
Distance of grocery stores from mailbox = 50 miles
What is the value of y ?
Answer:
67
Step-by-step explanation:
Answer.
67°
Step-by-step explanation:
the two lines are parallel so,
angle on line XY 67° is alternate angle on BD so, angle will be opposite angle y.
therefore, angle y= 67°
i got help from an awesome app called Gauthmath you can check it out on play store and app store. in my opinion avery good app with tutors and concept videos.
Suppose y varies directly with x, and y = 13 when x = 39. What direct variation equation relates x and y?
Answer:
y = 1/3 x
Step-by-step explanation:
y = kx
13 = k 39
k = 13/39
k = 1/3
y = 1/3 x
CAN SOMEONE HELP ME OUT, PLEASE AND THANK YOU.
Answer:
what do you need help with?
Step-by-step explanation:
Hi guys pls answer this it’s easy tbh
Answer:
this is the accurate answer of your questions
is f(x)=–3?
–7
–4
4
5
Answer:
4 is the answer...........
_4 is the best answer of this question
Need it fastttttt plssss I will give brainly
Answer:
385
Step-by-step explanation:
(3/5 x 10/8) - (7/9 x 3/8) + (4/5 x 7/2)
=3/4-7/24+14/5
=90/120 - 35/120 + 840/120
=46200/120
=385
Hope this helps!
11) Write the explicit formula
for the sequence below and
use it to find the 47th term:
-3, 5, 13, 21,...
Answer:
365
Step-by-step explanation:
tn = t1 + (n - 1)(d)
t(47) = -3 + (47 - 1)(8)
t(47) = -3 + (46)(8)
t(47) = -3 + 368
t(47) = 365
what is the name of the shape made by the equation below?
r=2+2 sin(theta)
Answer:
cardioid
Step-by-step explanation:
r=2+2 sin(theta)
This is of the form
r =a+b theta
This is a limacon
When a = b, it is called a cardioid.
Consider the following system of two equations.
{3x−4y=−24
3x+2y=−6
What are the coordinates(x,y) of the solution to the system of equations?
Enter the coordinates in the space provided.
Help if i dont pass this im finna fail.!!!!!
Step-by-step explanation:
The given equations are:
(i)
3x+2y−4=0...(1)
2x−3y−7=0...(2)
put x=0 in (1),
3(0)+2y−4=0
y=2
put y=0 in (2),
2x−3(0)−7=0
x=
2
7
put x=0 in (2),
2(0)−3y−7=0
y=−
3
7
put y=0 in (1),
3x+2(0)−4=0
x=
3
4
(x=0,y=−
3
7
)
(x=
3
4
,y=0)
(x=0,y=2)
(x=
2
7
,y=0)
(ii)
3x+2y−11=0...(1)
2x−3y+10=0...(2)
put x=0 in (1),
3(0)+2y−11=0
y=
2
11
put y=0 in (2),
2x−3(0)+10=0
x=−5
put x=0 in (2),
2(0)−3y+10=0
y=
3
10
put y=0 in (1),
3x+2(0)−11=0
x=
3
11
(x=
3
11
,y=0)
(x=0,y=
3
10
)
(x=0,y=
2
11
)
(x=−5,y=0)
Plzzz help me with thiss
Answer:
Step-by-step explanation:
rather than doing all of the sums, you should just learn the formula (for the pattern)
it is n(highest + lowest) where n is number of numbers
2
for example 2+3+4+5+6 = 20
5(6+2) = 20
2
~~~~~~~~~~~~~~~~~~~~
1+2+3+4+5+6+7+8 = 36
8(9) = 72/2= 36
2
4 1/3 - 2 1/2 divided by 1 2/3
Answer:
Exact Form: [tex]\frac{17}{6}[/tex]
Decimal Form: 2.83
Mixed Number Form: [tex]2 and 5/6[/tex]
Step-by-step explanation:
Answer:
[tex]1\frac{1}{10}[/tex]
Step-by-step explanation:
[tex]4\frac{1}{3}-2\frac{1}{2}[/tex]
[tex]4\frac{2}{6} -2\frac{3}{6}=1\frac{5}{6}[/tex]
[tex]1\frac{5}{6} =\frac{11}{6}[/tex]
[tex]1\frac{2}{3}=\frac{5}{3}[/tex]
[tex]\frac{11}{6}[/tex] ÷ [tex]\frac{5}{3} =[/tex]
[tex]\frac{11}{6} *\frac{3}{5}=[/tex]
[tex]\frac{11}{2}*\frac{1}{5} =[/tex]
[tex]=\frac{11}{10}[/tex]
[tex]=1\frac{1}{10}[/tex]
Hope this is helpful
The value of the square root of 42
[tex]\sqrt{42} =6.480740698/\sqrt{42}[/tex]
Answer:
6.4807 Step-by-step explanation:
The square root of 42 is 6.4807.
find the area of a circle . diameter =30cm . suction
Area of Circle = pi * r* r
Diameter = 2* r
Radius = 30/2 = 15 cm
pi = 3.14
Area of circle = 3.14 * 15 *15 = 707.14 cm ^2
Please help, how do you write 4.06 in word form and expanded form?
Answer:
four and six one hundredths
406/100
4.06 = (4 x 1) + (0/10) + (6/100)
i need help asap Please
Answer: F. is a linear relation.
Step-by-step explanation:
Answer:
G
Step-by-step explanation:
Equation of the eventual line:
(y-4)/(5-4) = x
y-4 = x
y = x + 4
this equation can’t be used to determine the last three values. In fact, for examples:
7 = 2 + 4
7 = 6 (false)
So the relation is non linear
what is the square root of -1
Answer:
i
Step-by-step explanation:
Now, before you think I'm just stealing points, let me explain. The square root of a number is the number that, if you multiply it by itself, it equals that number. The square root of 4 is 2, because 2 * 2 = 4.
Also, a negative number times another negative number, is a positive number. -2 * -2 = 4
With both of those true, then what number could be multiplied by itself to equal a negative number? i.
i is a weird number that I don't really know how to explain all that well. I am sorry, but that is all that I can give you. i is very complex and has various different equivalents, and different meanings, but i is equal to [tex]\sqrt{-1}[/tex].
Hope that this helps!
Please help me!! Perimeter: about ______ ft squared
Area: about ________ ft squared
Answer:
55.1 ft ; 236.7 ft^2
Step-by-step explanation:
radius = 7.5 ft
Perimeter of the semicircles = 2 * radius * pi = 2 * 7.5 * pi = 47,12389 ft
Perimeter of the rectangle = 4 * 2 = 8 ft
Total perimeter = 55,12389 ft
Area of the semicircles = radius^2 * pi = 7.5^2 * pi = 176,714587 ft^2
Area of the rectangle = 4 * 15 = 60 ft^2
Total area = 236,714587 ft^2
Hence, determine the length of AB. (Correct to TWO decimal places).
Answer:
sorry also maybe a diagram would have helped
78.4 divided by 0.56
Simplify (sin^2 0+cos^2 0) (sin 0+cos 0)
Can someone help? I don’t understand.
Answer:
C) [tex]sin\theta+cos\theta[/tex]
Step-by-step explanation:
[tex](sin^2\theta+cos^2\theta)(sin\theta+cos\theta)[/tex]
[tex]sin\theta+cos\theta[/tex]
Recall the Pythagorean Trigonometric Identity where [tex]sin^2\theta+cos^2\theta=1[/tex], so [tex]1(sin\theta+cos\theta)=sin\theta+cos\theta[/tex]
Answer:
C
Step-by-step explanation:
To start this problem off, we should know an important trig rule:
[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]
From here, it is simple:
[tex](\sin^2(\theta)+\cos^2(\theta))(\sin(\theta)+\cos(\theta))=\\1(\sin(\theta)+\cos(\theta))=\\\sin(\theta)+\cos(\theta)[/tex]
C
I hope this helps! Let me know if you have any questions :)
Geometric stuff and please explain
Perimeter = Sum of the sides measures
Perimeter = | AB | + | AT | + | BT |
Perimeter = ( x + 3 ) + ( 4x ) + ( 2x + 2 )
40 = x + 4x + 2x + 3 + 2
Colect like terms
40 = ( 1 + 4 + 2 )x + ( 3 + 2 )
40 = 7x + 5
Subtract both sides - 5
40 - 5 = 7x + 5 - 5
35 = 7x
Switch sides
7x = 35
Divide both sides by 7
7x ÷ 7 = 35 ÷ 7
x = 5
_____________________________
AB = x + 3 = 5 + 3 ======》 AB = 8
AT = 4x = 4 × 5 =========》 AT = 20
BT = 2x + 2 = 2(5) + 2 ===》 BT = 12
According to the law of inequality in a triangle, the sum of any two random sides must be greater than the size of the other side which means :
AB + AT > BT
&
AB + BT > AT
&
AT + BT > AB
If the sides is true in the above inequalities, then those sides are able to form a triangle ;
But if even one of the above inequalities is violated, those sides will not be able to form a triangle.
8 + 20 > 12 ( Check )
8 + 12 > 20 ( Nope this inequlity violated )
Thus the measures of the sides can not represent the measures of the sides of a triangle .
And we're done ...
So I am rolling a standard dice once. Is rolling 3 or 4 mutually exclusive events? Please help me understand this.