Answer:
see explanation
Step-by-step explanation:
Using the Pythagorean identity
cos²A + sin²A = 1 ( divide terms by cos²A )
[tex]\frac{cos^2A}{cos^2A}[/tex] + [tex]\frac{sin^2A}{cos^2A}[/tex] = [tex]\frac{1}{cos^2A}[/tex] , that is
1 + tan²A = sec²A ← as required
A group of four golfers paid $210 to play a round of golf. Of the golfers, one is a member of the club and three are nonmembers. Another group of golfers consists of two members and one nonmember. They paid a total of $120. What is the cost for a member to play a round of golf, and what is the cost for a nonmember?
What is the slope of the line shown in the graph?
A coordinate plane is shown. Points are graphed at −3 comma 2 and −1 comma −1. The points are connected by a line.
−3 over 2
−1 over 2
3 over 2
Undefined
helppppppppppppp plzzzzz
the answer is in the picture
The table shows the height of water in a pool as it is
being filled
The slope of the line through the points is 2. Which
statement describes how the slope relates to the
height of the water in the pool?
Height of Water in a Pool
Time
(min)
2
4
6
8
10
Height
(in.)
8
12
16
20
24
The height of the water increases 2 inches per
minute.
The height of the water decreases 2 inches per
minute.
The height of the water was 2 inches before any
water was added.
The height of the water will be 2 inches when the
pool is filled.
Answer:
Step-by-step explanation:
Slope is the rate of change. For us, this rate of change is inches of water per minute. If this rate of change is 2/1, that means that the rate is changing 2 inches every minute (aka The height of the water increases 2 inches per minute, first choice in your list of possibilities).
Which statement is true? (Algebra ll) *URGENT*
Answer:
3rd statement is correct
Read the text and answer the following questions:
1. Kolman shop was once a very rich town
True
False
2. The UFO buildings are a popular tourist attraction in Taipei.
True
False
3. Fordlandia became a problem because there was nowhere for the factory workers to live.
True
False
4. The Ford family sold Fordlandia for $20 million.
True
False
Answer:
1. False
2. True
3. True
4. False
Step-by-step explanation:
[tex]{hope it helps}}[/tex]
In the diagram, what is m NSR?
RU is a line which needs to equal 180 degrees. This means angle VSR + VSU needs to equal 180.
VSU = 100
VSR = 180 - 100 = 80
Answer: VSR = 80
Answer:
∠ VSR = 80°
Step-by-step explanation:
∠ VSR and ∠ VSU are adjacent angles and sum to 180° , then
∠ VSR + 100° = 180° ( subtract 100° from both sides )
∠ VSR = 80°
Evaluate (3n+2) -10 when n=3 !!!!
Hello!
(3n + 2) - 10 =
= (3 × 3 + 2) - 10 =
= (9 + 2) - 10 =
= 11 - 10 =
= 1
Good luck! :)
[tex]\displaystyle\bf (3n+2) -10 \ if \ n=3\Longrightarrow 3\cdot3+2-10=11-10=\boxed{1}[/tex]
please help me please
Answer:
that thing is not seeing properly and you can capture it again and resend it
A rectangular price tag has a perimeter of 10 centimeters and an area of 6 square centimeters. What are the dimensions of the price tag?
Answer:
3 by 2
Step-by-step explanation:
3+2+3+2=10
3*2=6
Hope this Helps!!!
A caterer is agrranging 72 ham sandwiche and 48 pimento cheese sandwiches on serving trays. He would like to arrange the sandwiches so tht each tray has the same number of each kind of sandwich. The number of ham sandwiches on a tray does not need to equal the number of pimento cheese sandwiches on the tray. What is the maximum number of traysthe caterer can use? .
Answer:
24
Step-by-step explanation:
The greatest number of trays the caterer can split the 72 ham sandwiches and 48 pimento cheese sandwiches into can be determined by calculating the highest common factor and 48 and 72
Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Factors of 72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.
the highest common factor is 48 ad 72 is 24
the school is located 0.8 miles west of willows house the park is 1.5 miles north what is the distance between willows house and the park
Answer:
0.7
Step-by-step explanation:
1.5 - 0.8 = 0.7 :)) hope u get it right!!!
The distance between the school and the park will be 0.7 miles.
What is the distance?Distance is defined as the length between the two points just like in the question it is the length between the school and the park.
Given that:-
The school is located 0.8 miles west of willows house The park is 1.5 miles northThe distance will be calculated as:-
Distance = 1.5 - 0.8 = 0.7 miles
Therefore the distance between the school and the park will be 0.7 miles
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WOrth 10 pts ... pls help
Nachelle went to the store to buy some almonds. The price per pound of the almonds is $6.50 per pound and she has a coupon for $4.75 off the final amount. With the coupon, how much would Nachelle have to pay to buy 5 pounds of almonds? Also, write an expression for the cost to buy pp pounds of almonds, assuming at least one pound is purchased.
Step-by-step explanation:
hope this will help you mark me as brinalist friend please
The amount paid for the 5 pound of almond by Nachelle is $27.75.
What is meant by the term equation?In its most basic form, an equation is a numerical declaration that demonstrates that two formulas are equal. 3x + 25 = 14, for example, is an equation whereby a 3x + 25 and 14 are 2 expressions separated by a 'equal' sign.Let 'p' be the number of pounds of almonds purchased by Nachelle.
Let 'c' be the total cost paid.
The cost of per pound of the almonds is $6.50 per pound.
The amount of the coupon is $4.75.
Thus, the equation will be ;
c = 6.50p - 4.75 ......equation.
For number of pounds p = 5.
c = 6.50×5 - 4.75
c = $27.75
Thus, the amount paid for the 5 pound of almond by Nachelle is $27.75.
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Type the correct answer in the box. If necessary, use / for the fraction bar. Marilyn has 10 caramels, 12 mints, and 14 bars of dark chocolate in a bag. She picks three items from the bag without replacement. The exact probability that Marilyn picks a mint, then another mint, and finally a bar of dark chocolate is
Answer: 77 / 1785
Step-by-step explanation:
Number of caramels = 10
Number of mints = 12
Number of dark chocolate = 14
Total number = 36
Since it's without replacement, the exact probability that Marilyn picks a mint, then another mint, and finally a bar of dark chocolate will be:
= 12/36 × 11/35 × 14/34
= 1/3 × 11/35 × 7/17
= 77/1785
Numbers are formed using the digits 1, 2, 3, 4, 5, 6. If no digit may be repeated, how many two-digit
numbers can be formed
A. 15
B. 20
C. 30
D. 6
I got 20.
I may have done it wrong so maybe wait until others have answered.
John is 20 years old than Steve. In 10 years, Steve's age will be half that of John's. What is the Steve age??
Answer:Steve age will be 15 y.o
Step-by-step explanation:
Pls answer it with explanation
Answer:
x=24 y=131
Step-by-step explanation:
it is right answer
Answer:
x = 24, y = 131
Step-by-step explanation:
The sum of the 3 angles in Δ ABC = 180°
Sum the 3 angles and equate to 180
72 + 35 + 25 + 2x = 180 , that is
2x + 132 = 180 ( subtract 132 from both sides )
2x = 48 ( divide both sides by 2 )
x = 48
--------------------------------------------
Similarly in the lower triangle
25 + x + y = 180
25 + 24 + y = 180
49 + y = 180 ( subtract 49 from both sides )
y = 131
Is the graph increasing, decreasing, or constant
Find the roots of the equation x^2 + 16 = 0.
Answer:
+4 and -4
Step-by-step explanation:
x² + 16=0
x=-√16
x=-4 or +4
Zachary's art club ordered a giant sub sandwich for a party. It was 6 feet long! When the sandwich arrived, Zachary cut it into 16 equal pieces.
How long was each piece?
Write your answer as a proper fraction or mixed number.
Answer:
3/8 feet long
Step-by-step explanation:
Find how long each piece was by dividing 6 by 16:
6/16
Simplify this by dividing each number by 2:
6/16
= 3/8
So, each piece was 3/8 feet long
A Solve the equation 2y2 – 7y – 4 = 0 . b Use your answer to part a to solve the equation 2(2x)2 _ 7(2x) _ 4 = 0. [5] 9
Answer:
[tex](a)\ y = 4\ or\ y = -\frac{1}{2}[/tex]
[tex](b)\ x = 2 \ or\ x = -\frac{1}{4}[/tex]
Step-by-step explanation:
Solving (a)
[tex]2y^2 - 7y - 4 = 0[/tex]
Expand
[tex]2y^2 +y - 8y - 4 = 0[/tex]
Expand
[tex]y(2y + 1) -4(2y + 1) = 0[/tex]
Factor out 2y + 1
[tex](y -4)(2y + 1) = 0[/tex]
Split
[tex]y - 4 =0\ or\ 2y + 1 = 0[/tex]
Solve:
[tex]y = 4\ or\ y = -\frac{1}{2}[/tex]
Solving (b):
[tex]2(2x)^2 - 7(2x) - 4 = 0[/tex]
Compare the above with the equation in (a)
[tex]2y^2 - 7y - 4 = 0[/tex]
We have:
[tex]2x = y[/tex]
So:
[tex]2x = 4 \ or\ 2x = -\frac{1}{2}[/tex]
Solve for x in both cases
[tex]x = 2 \ or\ x = -\frac{1}{4}[/tex]
Circle W has a radius of 20 in and right central angle, ZVWX. Find the length of vx. Leave your answer in terms of pi.
5
10
15
20
Answer:
The length of the arc is 10 pi
Step-by-step explanation:
Mathematically, the length of an arc is calculated as;
theta/360 * 2 * pi * r
theta represents the central angle subtended by the arc which is a right angle according to the question (a right angle is 90 degrees)
r is the circle radius which is 20 inches
so we have the length of the arc as;
90/360 * 2 * pi * 20 = 40 pi/4 = 10 pi
Which represents f(x)=g
does anyone know the answer to this question?
Answer:
(1,2)
Step-by-step explanation:
1. plug x into the equation:
[tex]2<\frac{2}{3}(1)+2[/tex]
2. simplify:
[tex]2<\frac{2}{3}+2[/tex]
[tex]2<\frac{2}{3}+\frac{6}{3}[/tex]
[tex]2<\frac{8}{3}[/tex]
since 8/3 is greather than 2, (1,2) is a solution
Below are the ages of the employees of a small gift shop in town. Describe the data using the five number summary.
17, 18, 19, 40, 42, 16, 33, 17, 33, 44, 19, 40, 37, 26, 25
helppppp pleaseeeee
median is 26
maximum is 44
minimum is 17
third quartile is 40
first quartile is 18
should be correct but I'm not sure
The median is 26, the maximum value is 44. The minimum value is 17. The third quartile is 40 and first quartile is 18.
What are quartiles?
When we get data that can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.
The given data set is;
17, 18, 19, 40, 42, 16, 33, 17, 33, 44, 19, 40, 37, 26, 25
The data using the five-number summary.
The median is 26
The maximum value is 44
The minimum value is 17
The third quartile is 40
The first quartile is 18
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15< 4 + x
O A. x>11
O B. X> 19
O C. x< 19
O D. x< 11
Answer:
A. x>11
Step-by-step explanation:
15 < 4 + x
take 4 to the LHS this becomes 15 - 4 < x
•°• 11 < x
< means less than
Therefore x is greater than 11
x > 11
Jul 02, 10:37:22 AM
Drag the numbers below to put them in order from least to greatest:
9.58 9.558 9.62 9.7 9.691 9.592
Answer: 9.558, 9.58, 9.592, 9.62, 9.691, 9.7
Step-by-step explanation:
Answer:
9.7 9.58 9.62 9.558 9.592 9.691
Simplify:
a.5³×5‐²×5⁴.
b.a⁴×a‐²×x³.
c.(x⁵)²×(y⁵)³
__________
(x³)³×(y²)²
Answer:
a. 125 * 0.04 * 625 = 5 * 625 = 3125
b. a^2 * x^3
c. x^10 * x^ y^15
Last one: x^9 * y^4
Step-by-step explanation:
Because yes.
Solve for x. Round to the nearest tenth, if necessary.
