Answer:
The answer is below
Step-by-step explanation:
We need to prove that:
(Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A.
Firstly, 1 / cos A = sec A, 1 / sin A = cosec A and tanA = sinA / cosA.
Also, 1 + tan²A = sec²A; sec²A - 1 = tan²A
[tex]\frac{\sqrt{secA-1} }{\sqrt{secA+1} } +\frac{\sqrt{secA+1} }{\sqrt{secA-1} } =\frac{(\sqrt{secA-1)}(\sqrt{secA-1})+(\sqrt{secA+1)}(\sqrt{secA+1}) }{(\sqrt{secA+1})(\sqrt{secA-1}) } \\\\=\frac{secA-1+(secA+1)}{\sqrt{sec^2A-secA+secA-1} } \\\\=\frac{2secA}{\sqrt{sec^2A-1} } \\\\=\frac{2secA}{\sqrt{tan^2A} } \\\\=\frac{2secA}{tanA} \\\\=\frac{2*\frac{1}{cosA} }{\frac{sinA}{cosA} }\\\\= 2*\frac{1}{cosA}*\frac{cosA}{sinA}\\\\=2*\frac{1}{sinAA}\\\\=2cosecA[/tex]
Using the greatest common factor for the terms, how can you write 56+32 as a product?
Step-by-step explanation:
56 + 32
= 8 * 7 + 8 * 4
= 8(7 + 4)
= 8 * 11
= 88.
Evan’s family drove to a theme park for vacation.
They drove the same speed throughout the trip.
The first day, they drove 300 miles in 6 hours.
The second day, they drove 250 miles in 5 hours.
The third day, they arrived at the park after driving for 3 hours.
How many miles did they drive on the third day?
- First: Calculate how many miles the family is driving in ONE hour.
There are two equations you can form to solve this.
300 / 6 = mph (miles per hour)
250 / 5 = mph (miles per hour)
300 / 6 = 50
250 / 5 = 50
They are driving 50mph. Now, you need to find out how many miles they drive in three hours.
50 * 3 = 150
Evan's family drove 150 miles on the third day.
Answer:
150 miles
Step-by-step explanation:
The first day, they drove 300 miles in 6 hours so divide 6 by 300. 300 divided by 6 equals fifty. On the third day, they drove half the amount of time, so it would be half the amount of miles because they drove the same speed throughout the trip.
300/2 so the answer to the question is 150 miles.
2. MULTIPLE CHOICE What is the y-intercept when 3x – 2y = -6 is graphed?
Answer:
D. 3
Step-by-step explanation:
Subtract 3x from both sides. Divide both sides by -2. Simplify. You get
y = 3/2x + 3
3 is the y-intercept.
~theLocoCoco
swear last one for today :))
Which table represents a linear function?
Answer:
bottom right makes the most sense to me
Step-by-step explanation:
A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of a gallon of gas to go 1 mile.
How far can the car travel with 15 gallons? Show your reasoning.
How much gas does the car use to go 100 miles? Show your reasoning.
HELP ME PLEASE THIS QUESTION IS WORTH 65% OF MY GRADE!!!!
Answer:
20 gallons hope this helped
A store sells 6 T-shirts for $59.34. What is the unit cost per T-shirt?
OA. $9.89
OB. $8.48
OC. $53,34
OD $0.10
Answer:
$9.89
Step-by-step explanation:
Which of the following equations is equivalent to 4x+2y=12
A. 2x+2y=6
B. 8x+2y=24
C. 2x+y=6
D. 4x+4y=24
Answer:
my answer lies in paper
What is the gcf of 66xy and 30x2y?
Answer:
66yx , 30x2y, hope its right :)
Step-by-step explanation:
find the coordinates of the point which divides the line segment joining the points (4, -3) and (8.5) in the ratio 3:1 internally
Answer:
The coordinates of the division point are (7, 3)
Step-by-step explanation:
The coordinates of the point (x, y) which divides a segment with endpoints (x1, y1) and (x2, y2) at a ratio m1: m2 internally is ([tex]\frac{m1x2+m2x1}{m1+m2}[/tex] , [tex]\frac{m1y2+m2y1}{m1+m2}[/tex] ).
∵ The line segment joining the points (4, -3) and (8, 5)
∴ x1 = 4 and x2 = 8
∴ y1 = -3 and y2 = 5
∵ The point divides the segment at ratio 3: 1
∴ m1 = 3 and m2 = 1
→ By using the rule above
∵ x = [tex]\frac{(3)(8)+(1)(4)}{3+1}[/tex] = [tex]\frac{24+4}{4}[/tex] = [tex]\frac{28}{4}[/tex]
∴ x = 7
∵ y = [tex]\frac{(3)(5)+(1)(-3)}{3+1}[/tex] = [tex]\frac{15-3}{4}[/tex] = [tex]\frac{12}{4}[/tex]
∴ y = 3
∴ The coordinates of the division point are (7, 3)
please help... my teacher makes me do this thing called mathspace and im due 5 tasks can you help me with this question.
A bag of manure weighs $110kg. If the weight of the bag increases by $30% find the new weight of the bag.
Answer:
143 kg
I'm not sure but I think this is correct
Step-by-step explanation:
a plane flies 480 miles with a 15 mph tailwind and then back 480 miles with a 15 mph headwind. if the plane completes the trip in 7.2 hours, how fast is the plane traveling against the wind and with the wind
I need help please someone help
Answer:
x= 40 degrees
Step-by-step explanation:
The two angles inside must add up to 126, since the missing unknown angle is supplementary to 126 (where they add up to 180 degrees).
Thus
x + (2x+6) = 126
3x + 6 = 126
3x = 120
x = 40
please give thanks :)
There are 12 tomato plants in a garden. Each plant has 7 branches ad each branch has 4 tomatoes growing on it. If one-third of the tomatoes are picked, how many tomatoes were picked
Answer:
112
Step-by-step explanation:
4*7=2828*12=336336*(1/3)=112If one-third of the tomatoes are picked, the number of tomatoes that were picked is 112 tomatoes.
Number of picked tomatoes:Number of picked tomatoes=(Growing tomatoes× Tomatoes branch× Tomatoes plant)× One-third
Number of picked tomatoes=(4×7×12)×1/3
Number of picked tomatoes=336×1/3
Number of picked tomatoes=112 tomatoes
Inconclusion if one-third of the tomatoes are picked, the number of tomatoes that were picked is 112 tomatoes.
Learn more about plants here:https://brainly.com/question/600212
como simplifico las fracciones de 14+8
Answer:
Simplificadora de Fracciones
Si dividirmos 14 entre 8 obteremos un entero 1 más una fracción propria 6/8. Así, la fracción equivalente es el NÚMERO MIXTO 1 3/4). La fracción 14/8 es igual a 14÷8 y también se puede expresar por el número decimal 1.75.
Step-by-step explanation:
What is the value of the expression when a = –5 and c = –1? The expression is 8(a + 2c)
Answer:
8(a + 2c) = -56
Step-by-step explanation:
Given that,
An expression : 8(a + 2c)
We need to find the value of the above expression when a = -5 and c = -1.
Put the values of a and c in the given expression.
8(a + 2c) = 8(-5+2(-1))
= 8(-5-2)
= 8(-7)
= -56
Hence, the value of the given expression is -56.
Can someone help me?
Answer:
The probability that the pet seen was sick is 53.57%.
Step-by-step explanation:
Employees at a clothing store get a 15% discount. Find the regular price of jeans that cost an employee $24.65.
PLEASE THIS IS DUE TODAYYYY
Answer:
$20.95
Step-by-step explanation:
.15x24.65=3.6975
24.65-3.6975 =$20.95
Hope this helps! Have a wonderful day!
At a basketball camp there are 4 girls for every 5 boys. What is the ratio for BOYS to TOTAL number of campers?
There are nine campers in total. There are five boys in the camp. Here are the details:
Ratio: 5:9
Fraction: 5/9
Decimal: 0.5555...........
Percentage: 56%
Hope this helped! Have a wonderful Day! :D
Hi, i need help please.
Answer:
The answer is A.8x+13
Step-by-step explanation:
simplyfy: 4x + 8 + x -2 -3x
Answer:
2x+6
Step-by-step explanation:
To simplify an expression such as this you must add like terms. Like terms are terms that have the same variable and power. In this expression 4x, x, -3x are like terms and -2 and 8 are also like terms. To add like terms simply add the coefficients and remember adding a negative is the same as subtracting. So, add the previously listed terms 4x + x + (-3x) = 2x, then -2+8= 6. This means the simplified expression is 2x+6.
6
[tex] \frac{?}{?} [/tex]
m+4=1½
Answer:
i don't get the question ...
Step-by-step explanation:
x²=9/25
what is it
need help reply
2(6.75)+1.03+3S=22 therefore 3S = 14.53 divide by 3 so S equals 4.84 per pair of socks
Answer:
each pair of socks cost $2.49
Step-by-step explanation:
Eric spent $22.00, including sales tax on 2 jerseys and 3 pairs of socks. The jerseys cost $6.75 each and the total sales tax was $1.03. How much did each pair of socks cost?
Solution:
The total money spent was $22.00. 2 jerseys costing $6.75 each was bought, the total tax was $1.03. 3 pairs of socks was bought, Let S represent the cost for each pair of socks. The total money spent is the sum of the money spent on jersey, socks and tax. Hence:
2(6.75) + 3S + 1.03 = 22
13.5 + 3S + 1.03 = 22
14.53 + 3S = 22
3S = 22 - 14.53
3S = 7.47
S = 2.49
Hence each pair of socks cost $2.49
Which line shows the graph of y = 4x - 5 reflected over the y-axis?
y = 4x + 5
y = 4x - 5
Y=2x-5
y = -2x + 5
Answer:
The line y = -4x - 5 shows the reflection over the y-axis.
From the attached graph, the blue line i.e. y = -4x-5 represents the reflection over the y-axis.
Step-by-step explanation:
When we reflect a line function over the y-axis, all we need is to negate the x-coordinate or value of 'x', while y-coordinate or y-value remains the same.
Given the function
y = 4x-5
replace x with -x
y = 4(-x) - 5
y = -4x - 5
Thus, the line y = -4x - 5 shows the reflection over the y-axis.
From the attached graph, the blue line i.e. y = -4x-5 represents the reflection over the y-axis.
From the graph, it is clear that that that x-coordinate of y = 4x-5 is negated.
Write an equation for the translation of y=|x|
Answer:
y=1x
Step-by-step explanation:
1. Find the perfect square numbers between the following:
b. 11 and 33
c. 30 and 40
d. 59 and 92
a. 26 and 55
Answer:
Step-by-step explanation:
b. 16 and 25
c. 36
d. 64, 81
a. 36, 49
Half the area of the rectangle shown is 24 square inches. Write and solve an equation to find the value
of x.
6 in.
(x + 2) in
Equation:
X=
2
Answer:
Step-by-step explanation:
Half the area of the rectangle shown is 24 square inches. Then value of x is 6
What is Area of Rectangle?The area of Rectangle is length times of width.
Area = length x width.
24 = (x + 2)(x - 3) = x² - x - 6
x² - x - 30 = 0
(x + 5)(x - 6) = 0
We can eliminate the root x = - 5 because dimensions cannot be negative. So, the only valid answer is x = 6
The length = x + 2 = 6 + 2 = 8 in.
The width = x - 3 = 6 - 3 = 3 in
Hence, the value of x is 6.
To learn more on Rectangles click:
https://brainly.com/question/20693059
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Find the 10th term of the geometric sequence show below
3x^7,9x^9, 27x^11...
PLEASE ANSWER!! TY
Answer:
t_10 = 59049 x^25
Step-by-step explanation:
a = 3x^7
r = 3 x^2
t_10 = (3x^7)(3x^2)^10
t_10 = 3x^7 3^(10-1) * (x^2)^(10 - 1)
t_10 = 3x^7 * 3^9 * (x^2)^9
t_10 = 3x^7 * 19683 x^18
t_10 = 59049 x^25
...................helppppp