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]
whats the answer for
x/9+7>10
Answer:
x > 27
Step-by-step explanation:
x/9 + 7 > 10
Subtract 7 from goth sides.
x/9 > 3
Multiply both sides by 9.
x > 27
$125 to the markup rate of 80% what is the final price?
Answer:
$225
Step-by-step explanation:
mark rate = 80%
original price = $125
mark amount = 80% of $125
=80/100 *125
=10000/100
=$100
final price = $125 + $100
=$225
Saw a board 5 ft 1 in. Long into six equal pieces. If the loss per cut is 1/5 in., how long will each piece be?
Answer:
The length of each piece is 0.833 ft.
Step-by-step explanation:
Length of board, L = 5 ft 1 inch
loss per cut = 1/5 inch
The board should be cut by 5 times to get the 6 pieces.
The loss in 5 cuts = 5 x 1/5 = 1 inch
So, the length of each piece is
[tex]L' =\frac{5 ft 1 in - 1in }{6}\\\\L' =\frac{5}{6}\\\\L' = 0.833 ft[/tex]
The length of each piece is 9 13/15 inches.
What is the length of each piece?The first step is to determine the length of the board in inches. In order to do this, feet should be converted to inches.
1 feet = 12 inches
(12 x 5) + 1 = 61 inches
Total losses of the 6 cuts = 1/5 x 6 = 6/5 = 1 1/5 inches
Total length left = 61 inches - 1 1/5 inches = 59 1/5 inches
Length of each board = 59 1/5 ÷ 6
296 / 5 x 1/6 = 296 /30 = 9 26/30 = 9 13/15 inches
To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498
Recall that the permeter of a rectangle is p=2(w+l) where w is the width and l is the length. The length of a rectangle is 17 feet more than the width. Of the perimeter is 94 feet then what is the lenth of the rectangle in the feet
Answer:
Width = 15 feet
Length = 32 feet
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Let
Width = x feet
Length = (x + 17) feet
Perimeter = 94 feet
Perimeter of a rectangle = 2(length + width)
94 = 2{(x + 17) + x}
94 = 2(x + 17 + x)
94 =2(2x + 17)
94 = 4x + 34
94 - 34 = 4x
60 = 4x
x = 60/4
x = 15
Width = x feet = 15 feet
Length = (x + 17) feet
= 15 + 17
= 32 feet
Which statement is false?
A.
The inequality sign always opens up to the larger number.
B.
The greater number in an inequality is always above the other number on the vertical number line.
C.
The smaller number in an inequality is always located to the left of the other number on the horizontal number line.
D.
The inequality sign always opens up to the smaller number.
Answer:
D.) The inequality sign always opens up to the smaller number
Hope This Helps :)
What is the least number of cuts you would need to make to cut a 3 by 3 by 3 inch block of cheese into 1 by 1 by 1 inch blocks of cubes?
Answer:
6 Cut Minimum
Step-by-step explanation:
According to the Question,
You have a 3x3x3 cube.
First make two cuts parallel to base of the cube each at a distance of 1 unit . This leaves you with three cuboids of dimensions 3x3x1. Now make two parallel cuts parallel to the height of the cube. This leaves you with nine cuboids of dimensions 3x1x1. Now make the final two cuts each 1 unit apart parallel to width and you are left with 27 cubes of 1x1x1.So , the final answer is 6 cuts.
plz help me I'm literally about to cry
Answer:
[tex](2,4)[/tex]
Step-by-step explanation:
Hope it is helpful...
Fiona and Pip win some money and share it in the ratio 3:1. Fiona gets £30. How much did they win in total?
Answer:
40
Step-by-step explanation:
Fiona: Pip
3 1
If fiona gets 30
30/3 = 10
Multiply each side by 10
Fiona: Pip
3*10 1*10
30 10
The total is 30 +10 = 40
There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 blue?
Answer:
5/7 is the answer to your question
660 g of 3 kg
Express as percentage
please tell how the answer is 22%..
:(
Answer:
Percent * base = Amount
660 g = 660 g
3kg = 3000g
percent(3000) = 660
percent = 660/3000
percent = .22
.22 = 22%
Step-by-step explanation:
Add the following numbers. -6 + 5 =
Step-by-step explanation:
-6 + 5 = -1!!!!!!!!!!!!!!!!!!!!!!!
I need help
Solve for X when:2X=8
Answer:
x=4
Step-by-step explanation:
x=8/2 =4
this question is quite easy
25.673 round off to the nearest hundredth
Answer:
25.67
Step-by-step explanation:
Look at the thousandth place. If it is 5,6,7,8 or 9 then add 1 to hundredth place. If it is less than 5, then write the hundredth place as it is
25.67
analyze the histogram comparing the frequencies shown for the annual temperatures of kentucky and illinois
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the required histograms are not provided; however, the general explanation is as follows.
(a) If any of the histograms has more bars at the left hand side, then it means that the distribution is skewed left.
(b) If any of the histograms has more bars at the right hand side, then it means that the distribution is skewed right.
(c) If any of the histograms has appears to have increasing number of bars at the middle, then it means the such histogram is symmetrical.
Use the above illustration to answer your question.
Answer:
C: Both distributions are skewed right.
Step-by-step explanation:
hey I have a doubt isn't for this question the ans supposed to be 36 but the option is not there so could you plzz help me
Answer:
Its actually 31
Step-by-step explanation:
Try drawing it and counting the matches
In a direct variation, y = 12 when x = 3. Write a direct variation equation
that shows the relationship between x and y.
O y = 12x
O y = 4x
O y = 3x
O y = 2x
helpppp
Answer:
fourth one
Step-by-step explanation:
What fraction of an hour is 45 minutes?
Give your answer in its simplest form.
Answer:
3/4
Step-by-step explanation:
1 hour is 60 minutes
45 minutes
---------------------
60 minutes
Divide top and bottom by 15
3
----
4
‼️‼️‼️‼️HELPPPP ILLL MAEK YOU BRAINLEST ‼️
a car loan is $2,500 with an interest rate of 8.5% for three years. what is the interest on the car loan?
a)$63,750
b)$212.50
c)$637.50
d)$6,375.00
Answer:
c) $637.50
Step-by-step explanation:
Formula: I= PRT
2500×8.5%×3 = 637.5
A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm.
A solid right pyramid has a regular hexagonal base with an area of 5.2 centimeters squared and a height of h centimeters.
Which expression represents the volume of the pyramid?
One-fifth(5.2)h cm3
StartFraction 1 Over 5 h EndFraction(5.2)h cm3
One-third(5.2)h cm3
StartFraction 1 Over 3 h EndFraction(5.2)h cm3
Answer:
its c
Step-by-step explanation:
cause this dude think u gonna open a word link^^^^
Answer:
c) One-third(5.2)h cm3
Step-by-step explanation:
edge 2023
4x−6y=36
Put the following equation of a line into slope-intercept form, simplifying all fractions.
Answer:
y = -6 + 2x/3 = 2x/3 -6
where
2/3 is the slope and -6 is the intercept
Step-by-step explanation:
4x-6y = 36
Simplify
2x - 3y = 18
put y on the LHS
-3y = 18 - 2x
divide by -3
y = -6 + 2x/3 = 2x/3 -6
where
2/3 is the slope and -6 is the intercept
It takes 26 recyclable plastic soda bottles to make one polyester suit. How many bottles will be needed to make one dozen suits??
Need your help.
Answer:
It would take 312 bottles to make one dozen suits.
Step-by-step explanation:
One dozen suits = 12 suits.
As each suit costs 26 plastic soda bottles to make, we simply multiply 26 bottles by 12 suits to get 312 bottles.
Please help I’ll give brainllist
If m(y) = 12 + 3 and nl) = 5% +9, which expression is equivalent to (n))?
5x + y2 + 15% - 27
2542 - 90% - 84
745x + 12
587 +24
Answer:
Option (2)
Step-by-step explanation:
Two functions have been given as,
m(x) = x² + 3
n(x) = 5x + 9
And we have to find the value of (mn)(x).
Since, (mn)(x) = m[n(x)]
Therefore, m[n(x)] = (5x + 9)² + 3
= 25x² + 90x + 81 + 3
= 25x² + 90x + 84
This expression matches with the expression given in option (2).
Therefore, Option (2) will be the answer.
A factory employs 200 men and 50 women. 80 of the men are each paid $100, the rest are paid $80 and the women are paid $50, what is the total wage bill.
8. The Oklahoma Museum of Natural History claims that on average, a square foot of grass contains 3.1 x 10^3 blades of grass. The soccer field has an area of 1.148 x 10^5 square feet. How many blades of grass are on the entire soccer field?
Answer:
3.5588 x 10⁸
Step-by-step explanation:
(3.1 x 10³) (1.148 x 10⁵) = (3.1 x 1.148) (10³ x 10⁵)
= 3.5588 x 10⁸
9514 1404 393
Answer:
3.6×10^8
Step-by-step explanation:
Your calculator or spreadsheet can multiply these numbers for you and give you the answer in scientific notation.
(3.1×10^3)×(1.148×10^5) = (3.1×1.148)×10^(3+5) = 3.5588×10^8
The supplied numbers have 2 and 4 significant digits, so rounding of the answer to 2 significant digits is appropriate.
about 3.6×10^8 blades of grass are on the entire soccer field
The picture is above I’ll mark as brainliest.
Answer:
area=l×b
24=6×b
or,24=6b
or, 24/6=b
or,4=b
therefore,b=4..
width =4
Answer:
4 in
Step-by-step explanation:
Let x be the width of the triangle
we know that the area of the rectangle above is the product of the length and the width
[tex]6 . x = 24\\[/tex]
divide both sides by 6
[tex]6x/6 = 24/6 \\\\x = 4[/tex]
the width is 4 inches
What is the measure of USQ
pls help
Answer:
USQ = 227°
Step-by-step explanation:
∠ QPR = ∠ UPT = 47° ( vertical angles )
∠ QPR is equal to the measure of the arc that subtends it , so
arc QR = 47°, then
arc USQ = arc USR + arc QR = 180° + 47° = 227°
Answer:
227º
Step-by-step explanation:
USQ = 180+47 = 227º
Please help I’ll give brainliest
Answer:
D. 12m^3n^5
Step-by-step explanation:
Answer:
12m³n⁵
Step-by-step explanation:
3 · 4 = 12
m² · m = m³
n³ · n² = n⁵
Therefore, 3m²n³ · 4mn² = 12m³m⁵
Rikki decided to collect data to determine if a runner's time and speed are correlated. She determined the data to have a correlation coefficient of −0.5. What does this r value indicate?
Which of the following is the product of the rational expression shown below?[tex]((x)/(x+3))*((x)/(x+2))[/tex]
A. x^2/ x^2+5x+6
B. x^2/ x^2+6
C. 2x/ x^2+5x+6
D. x^2/x^2+5
Answer:
A
Step-by-step explanation:
A