Given that
3 cos 80° cosec 10° + 2 sin 59° sec 31°
⇛3 cos(90°-10°) cosec 10°+2 sin (90°-31°) sec 31°
We know that
sin (90° - A) = cos A
cos (90°-A) = sin A
⇛3 sin 10° cosec 10° + 2 cos 31° sec 31°
⇛3 sin 10° (1/sin 10°) + 2 cos 31° (1/cos 31°)
⇛3 (sin 10°/sin 10°) + 2 (cos 31°/cos 31°)
⇛3 (1) + 2(1)
⇛3+2
⇛5
Answer: Therefore, 3cos 80°cosec 10°+2cos 59°sec 31° = 5.
also read similar questions: (sin teta + sec teta)^ + (cos teta+ cosec teta )^ = (1 + sec x cosec)^
https://brainly.com/question/87846?referrer
Answer:
5
Step-by-step explanation:
you can rewrite this as
3cos(90*-10*) x 1/sin(10*) + 2sin(90*-31*) x 1/cos(31*)
=3sin(10*) x 1/sin(10*) + 2cos31* x 1/cos(31*)
reduce with sin(10*) to get
3+2cos(31*) x 1/cos(31*)
cross out the cos 31* on both sides to leave you with
3+2
5
Find the equation of a line passing through (-2/3, 5) that is parallel to 4x-2y=6. Express your answer in point-slope form.
Using the information given, it is found that the linear function is given by:
[tex]y - 5 = 2\left(x + \frac{2}{3}\right)[/tex]
A linear equation, in point-slope formula, is modeled by:
[tex]y - y_1 = m(x - x_1)[/tex]
In which:
m is the slope.The point is [tex](x_1, y_1)[/tex].If two lines are parallel, they have the same slope.Parallel to 4x - 2y = 6, which, in standard form is:
[tex]2y = 4x - 6[/tex]
[tex]y = \frac{4}{2}x - \frac{6}{2}[/tex]
[tex]y = 2x - 3[/tex]
Hence, the slope is [tex]m = 3[/tex].
Point [tex]\left(-\frac{2}{3}, 5\right)[/tex], hence, the equation of the line is:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 5 = 2\left(x + \frac{2}{3}\right)[/tex]
To learn more about linear functions in point-slope form, you can take a look at https://brainly.com/question/13967935
The electric bills of household in a state are normal distribution the average of $85 with a standard deviation of $8. A sample of 25 households are selected random. Find the probability that the mean bill is less than $83.
Answer:
0.106
Step-by-step explanation:
We can plug this into normalcdf using the following values:
Lower bound = -1000
Upper bound = 83
Mean = 85
Standard deviation = pop. standard deviation / √(sample size) = 8/5 = 1.6
Does any know how to do paragraph proofs?
Answer:
A good paragraph should contain at least the following four elements: Transition, Topic sentence, specific Evidence and analysis, and a Brief wrap-up sentence (also known as a warrant) –TTEB!
Step-by-step explanation:
Calculate the distance between the points H=(-2, -5) and K=(-7, 1) in the coordinate plane.
Give an exact answer (not a decimal approximation).
Answer:
[tex]d=\sqrt{61}[/tex]
Step-by-step explanation:
The distance is given by the expression[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2}= \sqrt{[(-2)-(-7)]^2+[(-5)-(1)]^2} = \sqrt{(-2+7)^2+(-5-1)^2}=\sqrt{(5)^2+(-6)^2}=\sqrt{(25+36)}=\sqrt {61}[/tex]
which values of x are solutions to the equation below?
Answer:
-5,5
Step-by-step explanation:
move the constant to the right to make it
3x^2=33+42
3x^2=75
divide both sides by 3
x^2=25
sq root of 25 is 5 and -5
A parachutist's speed during a free fall reaches 60 meters per second. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 15 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
A) The speed of the parachute in feet per second is; 198 ft/s
B) At the given speed, the number of feet the parachute will fall during 15 seconds of freefall is; 2970 ft
We are given;
Speed of parachute during freefall = 60 m/s
A) We are told that 1 m = 3.3 ft
Thus, 60 m/s in ft/s = 60 × 3.3/1 = 198 ft/s
B) Speed is now 198 ft/s
Time is 15 seconds
Formula for distance is;
Distance = speed × time
Distance = 198 × 15
Distance = 2970 ft
Read more about distance, speed and time at; https://brainly.com/question/3267354
I need help please I can’t fail this
Answer:
200
Step-by-step explanation:
200 - 35% = 130
130 + 70 = 200
A convention center is in the shape of a rectangular pyramid with a height of 332 m. Its base measures 475 m by 571 m. Find the volume of the convention center. If necessary, round your answer to the nearest tenth
Answer:
30,015,566.7 m³ OR 3.0 x 10⁷ m³
Step-by-step explanation:
The formula for finding the volume of a rectangular pyramid is:
V = lwh/3
where l = length
w= width
h = height
(475)(571)(332)/3 = 30,015,566.7 m³ = 3.0 x 10⁷
Pls help. I'll mark you as brainliest.
The test scores of randomly selected students are listed: 30, 35, 43, 44, 47, 48, 54, 55, 57, 59, 62, 63, 65, 66, 68, 69, 71, 72, 73, 74, 76, 77, 77, 78, 79, 80, 81, 81, 82, 83, 85, 89, 92,93,94,97,98 Find the median.
Answer:
the median is 73 because 73 is the middle number
Find the area of the region bounded by the graphs of the equations [tex]y=2x-x^2, y=0.[/tex] Provide a sketch. Show the work!
[tex]\\ \sf\longmapsto y=2x-x^2[/tex]
y=0[tex]\\ \sf\longmapsto 2x-x^2=0[/tex]
[tex]\\ \sf\longmapsto x^2-2x=0[/tex]
[tex]\\ \sf\longmapsto x(x-2)=0[/tex]
[tex]\\ \sf\longmapsto x=0,2[/tex]
⇒ y=2x−x2
y=0⇒ 2x - x² = 0
⇒ x² - 2x = 0
⇒ x ( x - 2 ) = 0
⇒ x = 0, 2
Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 60 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 15.9 and a standard deviation of 1.8. What is the 99% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? <μ<
Enter your answers accurately to one decimal place.
Sample mean : \overline{x}=10.6x=10.6
Standard deviation : s=1.7s=1.7
Significance level : \alpha:1-0.95=0.05α:1−0.95=0.05
Critical value : z_{\alpha/2}=1.96
Hence the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies= (10.1989,\ 11.0011)(10.1989, 11.0011)
what numbers can multiply to get -55 but also add to get -6
Answer: 1, 5, 11, 55
A boat travels upstream a distance of 24 miles on a
river whose current is a constant rate of 3 mph. The boat returns downstream. The trip up the
river and back down the river takes a total time of 6 hours. What would the speed of the boat
be in still water?
Answer:the answer will be 48
Step-by-step explanation: 24 divided by 3 =8 x 6 =48
I REALLY HOPE THIS HELPS
Look at the graph below. What is the y-intercept?
Answer:
- 2 is the answer:)
Step-by-step explanation:
Wherever the line crosses on the y thats the answer
An artist paints a mural containing different-sized triangles. The area of each triangle is
given by the function A(x) = 1/2x(x – 3), where x represents the base length of the
triangle, in inches.
What is the area of a triangle with a base length of 16 inches, represented by A(16), in
square inches?
Answer:
104
Step-by-step explanation:
A(16)=1/2(16)(16-3)
A=8(13)
Area is 104 inches squared
With the last of your gold, you decide to buy a Ferrari F50 GT1. It has a maximum speed of 380 km/hour. How fast is that in MPH (miles per hour)
Answer:
237.5 miles / hour
Step-by-step explanation:
The conversion factor is 1.6 km = 1 mile.
1 mile / 1.6 km = x / 380 km / hour Multiply both sides by 380 km/hour
380 km/hr * 1 mile / 1.6km = x
237.5 miles / hour = x
How to test a function graphically
Answer:
Step-by-step explanation:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
that is known as the vertical line test
Answer:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does no represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
Step-by-step explanation:
Can somebody help me as soon as possible I’ll give brainliest
HELP
HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.
THX
Answer:
= 108
Step-by-step explanation:
the rectangle = 12 * 5 = 60
plan A:
the triangle A with H = (13 - 5)/2 = 8/2 = 4
then triangle A = [tex]\frac{1}{2}[/tex] * 6 * 4 = 24/2 = 12
total triangles = 12 * 4 = 48
hexagon area = 60 + 48 = 108
plan B:
there 13 - 5 = 8
because there are identical triangles, so we can shape both of it being a rectangle with short line is 8/2 =4, and long line is 12
then we calculate that rectangle area = 12 * 4 = 48, then total of the hexagon = 60 + 48 = 108
here what one is right?
Answer:
B.
Step-by-step explanation:
Y=1/3x-4 + Y=-7/3x+4
Answer:
-2
Step-by-step explanation:
if you arrange them over each other you get [tex]\frac{1}{3} -4 \\+\frac{-7}{3} +4[/tex]
the -4 and +4 cancel out to 0
and 1-7= -6
-6/3 is -2
please help ill mark brainliestO
Answer:
Yes triangles ACB and FGC are similar using AA.
(Please don't hate if it's wrong)
The perimeter of a rectangle is 20/33 feet. The length of three sides together is 16/33 feet.
What is the length of the fourth side?
40 feet
4/33feet
16/33feet
20/33feet
Maxden wanted to measure the length of the objects below.
For each one circle which unit of measurement he should use.
A. His puppy
Inches or Yards
B. A toy car
Yards or Centimeters
C. Width of his desk
Yards or Feet
D. His foot
Inches or Yards
33. Jeremy works at a bank and earns $800 for a 40-hour week. His sister, Beth works at a school and only earns $700 for a 30-hour week. Who makes more per hour?
A. Jeremy makes $10 more per hour
B. Beth makes $10 less per hour
C. Beth makes at least $3 more per hour
D. Jeremy makes at least $5 more per hour
Answer:
Step-by-step explanation:
Jeremy
Pay = 800
Time = 40 hours
Per hour pay= 800/40 = 20 dollars per hour.
Beth
Pay = 700
Time = 30 hours
Per hour Pay= 700 / 30 = 23.33
The answer is C. She gets 23.33 which is 3.33 more than her brother makes.
he .......... be eating pizza.
He will be eating pizza
S + will + be + V_ing
Find an equation for the line below
Answer:
y = 1/2x +7/2
Step-by-step explanation:
The two marked points are 2 units apart vertically, and 4 units apart horizontally. The slope of it is ...
m = rise/run = 2/4 = 1/2
The value of the y-intercept can be found from
b = y -mx . . . . . . where (x, y) is a point on the line
Using the point (-1, 3), we find the y-intercept to be ...
b = 3 -(1/2)(-1) = 3 1/2 = 7/2
Then the slope-intercept equation is ...
y = mx +b
y = 1/2x +7/2
Allison was comparing the price of salmon at two stores. At SuperGrocery B, 0.5 pounds of salmon costs $2.77. The table below represents the total cost, in dollars and cents, yy, that it costs for xx pounds of salmon at SuperGrocery A.
Answer:
15.48
Step-by-step explanation:
When we divide 6.45 by 10, we get 0.645 so, we know that is the rate per 0.1 pound. We multiply 6.45 by 2 to get 12.9 and add 0.645 four times since it is 2.4 pounds and get 15.48.
Answer:15.48
Step-by-step explanation:
15.48
What is the answer to the question?? Is the answer even on there?
Answer:
D. $105,750
Step-by-step explanation:
Use the formula I=prt,which stands for "Interest equals principal × rate × time" The clue to use that formula was the phrase "simple interest" The principal is the original amount of the loan, $150,000.
The interest rate is the 3.7% or 4.2% but you MUST change these to a decimal to use them. So we'll be using .037 and .042 for these calculations. The time part of the equation is the 15 years or the 30 years. See image.
A machinist must cut 17 strips of metal that are each 2 ft 6 2/8 in long. What is the total length of metal needed in inches? Write as a proper or mixed fraction.
Answer:
Step-by-step explanation:
2/8 inch = ¼ inch
1 ft = 12 inch
17(2(12) + 6¼) = 514¼ inches
provided a shear with zero kerf is used.