Answer:
See Explanation
Step-by-step explanation:
[tex] \sec \: x - cos \: x = \sin \: x \tan \: x \\ \\ LHS = \sec \: x - cos \: x \\ \\ = \frac{1}{ \cos x} - cos \: x \\ \\ = \frac{1 - { \cos x}^{2} }{ \cos x} \\ \\ = \frac{ { \sin x}^{2} }{ \cos x} \\ \\ = \frac{ \sin \: x \times \sin x}{ \cos x} \\ \\ = \sin x \: tan x \\ \\ = RHS \\ \\ thus \: proved \\ [/tex]
Please answer the last one!
Answer:
Step-by-step explanation:
your in on campus school
Answer:
Yes
Step-by-step explanation:
What number equals 2 4/5?
Answer:
2.8
Step-by-step explanation:
since 4/5 equals .8 it would just be 0.8 + 2
Answer:
14/5 i think it,s the answer
Step-by-step explanation:
The temperature at 6:00 P.M. was 3°C. At midnight, the temperature was -2°C.
What real number represents the change in temperature
Answer:
-5 degrees
Step-by-step explanation:
In this scenario, since the final temperature was the temperature that existed at midnight then that value is subtracted from the initial temperature which was at 6:00 PM. Therefore we do the following calculation...
(-2) - 3 = x
-5 = x
Finally, we can see that there was a change in temperature of -5 degrees between 6:00 P.M. and Midnight. Meaning that the temperature during this time dropped a total of 5 degrees. Since, real numbers include negatives then the answer to this question is -5 degrees
What is the sum of (-3)+(200)-(50)?
Answer:
147 is your answer.
I need help on this please!!
Answer:
Step-by-step explanation:
1. Height of the equilateral triangle = a√3/2
8√3/2=4√3=6.9
2. 60 (equilateral triangle means all three sides and angles are equal)
Which sets of angles listed are complementary in this diagram?
The two pairs ∠AEG and ∠CEG, ∠AEF and ∠FED are complementary angles. Therefore, option B is the correct answer.
From the given figure we need to identify the complementary angles.
What are complementary angles?In geometry, complementary angles are defined as two angles whose sum is 90 degrees.
By complementary angles concept:
From the figure, ∠AEG+∠CEG=90°
∠AEF+∠FED=90°
The two pairs ∠AEG and ∠CEG, ∠AEF and ∠FED are complementary angles. Therefore, option B is the correct answer.
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The ages Edna, and Elsa are consecutive integers. The sum of their ages is 114. What are their ages?
Answer:
Edna = 56.5
Elsa = 57.5
Step-by-step explanation:
Represent Edna age with x; Elsa age will be x + 1
So,
[tex]x + x + 1 = 114[/tex]
[tex]2x + 1 = 114[/tex]
Make 2x the subject
[tex]2x = 114 - 1[/tex]
[tex]2x = 113[/tex]
Solve for x
[tex]x = 113/2[/tex]
[tex]x = 56.5[/tex]
Elsa age is calculated as thus;
[tex]Elsa = x + 1[/tex]
[tex]Elsa = 56.5 + 1[/tex]
[tex]Elsa = 57.5[/tex]
the answer to the universe, life, and everything
Answer:
my life hurts now
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
GET A BOOK U MORON
need help with some practice
Answer:
51°
Step-by-step explanation:
(x+6)°+(3x-30)°=180°=
x+6+3x-30=80
x-24+3x=180
4x-24=180
4x-24+24=180+24
4x=204
x=51°
Answer:
it is 51
Step-by-step explanation:
Which of the following is not one of the Greek roots explored in this unit?
a. sin
C syn
b psyche
d. neuron
Please select the best answer from the choices provided
Answer:
Its A >_<Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Solve for distance and solve for time
5. total time taken = 3hrs
speed = 30km/hr
total distance travelled = 30 * 3= 90km
6. total time taken = 1.5hrs = 1 1/2 hrs
speed = 70 miles/hr
distance travelled in 1/2 hrs = 1/2 * 70 = 35 miles
total distance travelled = 3/2 * 70 = 3 * 35 = 105 miles
Rest of the answer jen will help
Hope it helped u,
pls put thanks and mark as the brainliest
Scott and Lana ride bikes a total of 64 miles in a week. Lana rides 8 fewer miles than Scott. How many miles does Lana ride each week?
A) 28
B) 36
C) 56
D) 72
Answer:
Welcome to Brainly! The answer is C. 56
Step-by-step explanation:
Think about the expansion for the binomial
(2x - y2)6.
The first term of this binomial is 2x.
The second term of this binomial is -y2.
What is the correct formula for the fifth term in this binomial expansion?
A)6C4(2x)4(-y2)2
B)6C4(2x)2(-y2)4
C)6C5(2x)(-y2)5
Answer: B
6C4(2x)2(-y2)4
Step-by-step explanation:
2020 edge
Jonas draws a triangle, measures its three angles, and adds the measures together. He draws several more triangles and does the same thing. He writes the following conjecture: The measures of the three angles of a triangle add up to 180°. Which of the following statements is true
Complete question is;
Jonas draws a triangle, measures its three angles, and adds the measures together. He draws several more triangles and does the same thing. he writes the following conjecture: the measures of the three angles of a triangle add up to 180°. which of the following statements is true?
a. jonas believes that his conjecture only applies to the triangles he drew and measured.
b. jonas believes that his conjecture only applies to the triangles he drew and measured.
c. jonas believes his conjecture is true for all triangles.
d. none of the above.
Answer:
C. jonas believes his conjecture is true for all triangles.
Step-by-step explanation:
A conjecture in maths is simply a conclusion or a proposition that is like an educated guess which is likely to be true due to supporting evidence from preliminary study or research. However, it is just like a hypothesis for which no proof or disproof has been gotten.
Now, to the question, he came up with that conjecture after drawing so many triangles. So it means he is making a generalized statement for every triangle and not just the ones he drew.
Thus, the correct answer is Option C.
A carpenter cut a 13 1/2 foot piece of wood into 3/4 foot pieces. After cutting the wood, how many pieces did the carpenter have
Answer:
18
Step-by-step explanation:
Turn the mixed number into an improper fractions: 13 × 2 = 26, 26 + 1 = 27Re-write improper fraction: [tex]\frac{27}{2}[/tex] [tex]\frac{27}{2}[/tex] ÷ [tex]\frac{3}{4}[/tex] = [tex]\frac{27}{2}[/tex] × [tex]\frac{4}{3}[/tex] [tex]\frac{27}{2}[/tex] × [tex]\frac{4}{3} = \frac{108}{6}[/tex] 108/6 = 18I hope this helps!
Point B is on line segment AC. Given BC
7 and AC
11, determine the length
AB.
Answer:
4
Step-by-step explanation:
Since the entire length is 11, and one segment is 7, you'll subtract and end up with the answer 4.
The length of AB if Point B is on the line segment AC, BC = 7 and AC = 11, is 4.
What is a line segment?A line segment is a measurable route between two points. Line segments can make up any polygon's sides because they have a set length.
Given:
Point B is on the line segment AC, BC = 7 and AC = 11,
Write the expression for the above phrase as shown below,
The length of the AC = The length of AB + the length of BC
11 = 7 + The length of AB
The length of AB = 11 - 7
The length of AB = 4
Thus, The length of AB is 4.
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Exercise 6.11 presents the results of a poll evaluating support for a generic "National Health Plan" in the US in 2019, reporting that 55% of Independents are supportive. If we wanted to estimate this number to within 1% with 90% confidence, what would be an appropriate sample size?
Answer:
The sample size is [tex]n =6697[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.55
The margin of error is E = 0.01
Given that the confidence level is then the level of significance is mathematically represented as
[tex]\alpha = (100 -90)\%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645 [/tex]
Gnerally the sample size is mathematically represented as
[tex]n = \frac{[Z_{\frac{\alpha }{2} }]^2 * p(1-p)}{E^2}[/tex]
=> [tex]n = \frac{1.645^2 * 0.55(1-0.55)}{0.01^2}[/tex]
=> [tex]n = \frac{1.645^2 * 0.55(1-0.55)}{0.01^2}[/tex]
=> [tex]n =6697[/tex]
Angelina received 2 discounts on $50. They were taken off one after the other. The first coupon was 20%. She paid $30 for shoes. What is the dollar amount taken off the first coupon.
Answer:
The dollar amount taken off is $10.
Step-by-step explanation:
I hope i helped.
The point B (-2, 4) has been rotated by 270⁰ counter clock wise about the point (1, 3). Determine the coordinates for the point B’. 1.B' ( - 2, - 6) 2.B' ( - 2, 6) 3.B' ( 2, - 4) 4.B' ( 2, 6)
Answer:
The coordinates of the point B’ is (2,6)
Step-by-step explanation:
Let us have a case of rotation for 270 counterclockwise first;
So if we had;
(x,y) and we rotate 270 degrees about the origin, we will have (y , -x)
This is the case of the origin.
In cases where we are not rotating around the origin, say a point (a,b)
The result of the rotation will be;
(x,y) Turning to (y - b + a , a - x + b)
In the case of this question;
x = -2, y = 4
a = 1 , b = 3
Substituting these into the rotation equation, we have;
(4-3 + 1 , 1-(-2) + 3)
= (2 , 6)
So the coordinates of the point B’ is (2,6)
Leslie played Tetris yesterday. She said, "If you multiply my score by 6, then
increase it by 45, then divide that answer by 3, you will get exactly 835.” What was
Leslie's score? Please explain step by step.
Answer:
(6x+45)÷3=835
2x+15=835
2x=820
x=410
Lesile's score is 410
What would be an appropriate label for the y-axis? Captionless Image
For wat kinda graph ND wat topic
The mean salary of 5 employees is $42200. The employee salaries have 2 modes: $32500 and $52000. If the median salary gets a $2000 raise, then....
a) what is the new mean?
b) what is the new median?
Answer:
I believe the answer is
Step-by-step explanation:
mean is 42,200 and median is 26,000
Can somebody help me with this pleaseee I need help
Answer:
3.225
Step-by-step explanation:
15%= 15/100
therefore 15% tip of 21.50
15/100×21.50 = 3.225
Which expression can be used to convert 5 meters per second to km per hour?
Answer:
i dont even know duh
hehehe
Step-by-step explanation:
n Ms. Ayala's class, 45% of the students regularly play video games. If 18 students regularly play video games, how many students are in the class?
Answer:
40 students
Explanation:
So its 45% out of 100%. multiply 18 by 100% and divide it by 45 and you get 40
Which number sentence represents the Associative Property of Addition?
18 + 7 = 7 + 18
4 + (1 + 11) = (4 + 1) + 11
0 + 90 = 90
22 + 3 = 25
Answer:
18+7=7+18
Step-by-step explanation:
Provide a) the **EQUATION** and b) the solution for the following:
During a charity drive, the senior class raised $85 more than twice the amount raised by the freshman class. The senior class raised $555. How much did the freshman class raise?
Answer:
y= 2x + 85
y= $555
x= $235
Step-by-step explanation:
Let y be the amount the senior class raised
Let x be the amount the freshmen class raised
Insert known values
$555 = 2x + $85
Subtract 85 from both sides
$470 = 2x
Isolate the variable (x) by dividing each side by 2
$235 = x
Hope this helps! :)
Put a check mark for each set the number is part of:
1.56432...
Natural
Whole
Integer
U
Rational
Irrational
Real
Answer:
Irrational Number
Step-by-step explanation:
Given
[tex]Number = 1.56432..[/tex]
Required
Determine which set of number it is
The given number is not a natural number, whole number and it is not an integer because it contains decimal point
The given number is not rational because it can not be expressed as a fraction of two whole numbers.
Hence:
The set of the number is irrational
find the zero of the function f(x) = 6x²+3
Answer:
[tex]\sqrt-{\frac {1}{2} }[/tex]
Step-by-step explanation:
Given expression;
f(x) = 6x² + 3
Unknown:
The zero of the function = ?
Solution:
The zero of the function is the value of x for which the function becomes zero. It is this value that solves the equation;
So;
6x² + 3 = 0
6x² = -3
x² = [tex]-\frac{3}{6}[/tex]
x = [tex]\sqrt-{\frac {1}{2} }[/tex]
A circular plate with radius 7 m is submerged vertically in water as shown. Express the hydrostatic force against one side of
the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s? for the
acceleration due to gravity. Recall that the mass density of water is 1000 kg/m²)
pg
XN
dy
х
3 m
m
Answer:
[tex]pg\int\limits^7_7(10-y)2\sqrt{7^2-y^2} \, dy[/tex]
*The last bound is negative 7
Then it equals 15085928 or 1.5E7
Step-by-step explanation:
[tex]x^2+y^2=7^2[/tex]
area = 2xdy
depth = (7+3)-y -> (10-y)
total force = [tex]pg\int\limits^7_7 {(10-y)2x} \, dy[/tex]
Substitute 2x from the first equation as x=[tex]\sqrt{7^2-y^2}[/tex]
total force = [tex]pg\int\limits^7_7 {(10-y)2\sqrt{49-y^2} } \, dy[/tex]
=pg1539.38
=(1,000)(9.8)(1539.38)=1.5E7 N
*Lower bound is -7, can't get the program to allow me to put it as a negative
The hydrostatic force against one side of the plate is an integral 1.5E7 N.
What is the equation of a circle at the origin?The general equation of a circle is [tex](x-h)^{2} +(y-k)^{2} = r^{2}[/tex]. The coordinate is (0, 0) at the origin, so the equation will become [tex](x)^{2} +(y)^{2} = r^{2}[/tex].
[tex](x)^{2} +(y)^{2} = 7^{2}[/tex]
area of circular plate = 2xdy
depth = (7+3)-y = (10-y)
The total force = [tex]pg\int\limits^7_7[ {10-y} ]2xdy[/tex]
Substitute 2x from the first equation as x = [tex]\sqrt{7^{2} -y^{2} }[/tex][tex]pg\int\limits^7_7[ {10-y} ]\sqrt{49 -y^{2} }dy[/tex]
= pg 1539.38
= (1,000)(9.8)(1539.38)
= 1.5E7 N
Thus, The hydrostatic force against one side of the plate is an integral 1.5E7 N.
Learn more about total force;
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