Simplify the expression using trigonometric identities: sec (–θ) – cos θ.
Answer:
sin θ . tan θ
Step-by-step explanation:
Note : -
sec ( - θ ) = sec θ
Formula / Identity : -
sec θ = 1 / cos θ
sec ( - θ ) - cos θ
= [ 1 / cos θ ] - cos θ
{ LCM = cos θ }
= [ 1 / cos θ ] - [ cos²θ / cos θ ]
= [ 1 - cos²θ ] / cos θ
{ 1 - cos²θ = sin²θ }
= sin²θ / cos θ
{ sin²θ = sin θ . sin θ }
= sin θ . sin θ / cos θ
{ sin θ / cos θ = tan θ }
= sin θ . tan θ
Hence, simplified.
Help me please guys hurry!!!
Answer:
1. False 2. 7.11 > -7.1 3. -3 < -1 and -3 <= -1 <= is less than or equal to. 4. m + 7 => 8.2 5. {3, 4} Hope this helps even though I am late!
Step-by-step explanation:
A pennant flag that is 2 inches high with a base of 1.5 inches has an area of 1.5 square inches. The
area of a triangle varies jointly with the base and height. Find the area of a flag whose base
measures 2 inches and height is 2.5 inches.
Answer:
2.5 sq. inches
Step-by-step explanation:
Explanation is given in the pic attached.
Area of triangle= 1/2* base* height
Hope this helps!
The area of the flag when the base is 2 inches and the height is 2.5 inches is 2.5 square inches
From the question, we understand that the area (A) of the flag varies jointly with the base (B) and the height (H)
This variation is represented as:
[tex]\mathbf{A\ \alpha\ B \times H}[/tex]
So, we have:
[tex]\mathbf{A\ \alpha\ BH}[/tex]
Express as an equation
[tex]\mathbf{A\ =k BH}[/tex]
When the area is 1.5 square inches, the base is 1.5 inches and the height is 2 inches, we have:
[tex]\mathbf{A\ =k BH}[/tex]
This gives
[tex]\mathbf{1.5\ =k \times 1.5 \times 2}[/tex]
[tex]\mathbf{1.5\ =k \times 3}[/tex]
Divide both sides by 3
[tex]\mathbf{\frac 12 =k }[/tex]
Rewrite as:
[tex]\mathbf{k = \frac 12}[/tex]
When the base is 2 inches and the height is 2.5 inches, we have:
[tex]\mathbf{A\ =k BH}[/tex]
This gives
[tex]\mathbf{A = \frac 12 \times 2 \times 2.5}[/tex]
[tex]\mathbf{A = 2.5}[/tex]
Hence, the area of the flag is 2.5 square inches
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Find the slope given the coordinate points.
(12, 7) (-4, 2)
Answer as a fraction in reduced form.
Will mark brainliest if correct
-4v - 5 = -53 help me please
Answer:
v=12
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-4*v-5-(-53)=0
Pull out like factors :
-4v + 48 = -4 • (v - 12)
Solve : -4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : v-12 = 0
Add 12 to both sides of the equation :
v = 12
To check yourself:
-4(12)-5 = -53
Answer: v = 12
Step-by-step explanation:
-4v - 5 = -53
add 5 to both sides
-4v = -48
divide both sides by -4
v=12
a chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second Brian contains 15% vinegar. The chef wants to make 390 mL of a dressing that is 8% vinegar. How much of each brand should she use?
Answer:
273 mL of 5%117 mL of 15%Step-by-step explanation:
Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...
0.15q + 0.05(390 -q) = 0.08(390)
0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify
q = 117 . . . . . . . . . . . . . . . . . . multiply by 10
390-q = 273
The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).
__
Additional comment
You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.
Naomi can run 1/4 mile in 2 minutes. Does Amal or Naomi run faster? How do you know
Answer: Yes
Step-by-step explanation:
A: 12 minutesAnswer to B: 36 minutesAnswer to C:
Which of the expressions are equivalent to the one below? Check all that apply. (8+2 4+2 A. 8+ (2 - 4) + 2 B. 8.4 + 2 + 2 C. (8 + 2). (4+2) D. (8. 4) + (24) + 2
The value of the equation A = ( 8 . 4 ) + ( 2 . 4 ) + 2 = 42
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = ( 8 + 2 ) . 4 + 2 be equation (1)
On simplifying the equation , we get
A = ( 10 ) 4 + 2
A = 40 + 2
A = 42
Substitute the value of A as
A = ( 8 . 4 ) + ( 2 . 4 ) + 2
On simplifying the equation , we get
A = 32 + 8 + 2
A = 40 + 2
A = 42
Hence , the equation is A = ( 8 . 4 ) + ( 2 . 4 ) + 2
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a function is given, 2^x + 3. find f(-2)
Answer:
2_3_4_4/547767()9897568. thank
A store has apples on sale for $3.00 for 2 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $12.00? Complete the explanation
Answer:
you can buy 6 pounds of apples
Step-by-step explanation:
As an estimation we are told 5 miles is 8 km.
Convert 52.5 miles to km.
PLEASE HELP NO TIME FOR LINK!!!
Answer:
Step-by-step explanation:
52.5 mi(8 km/5mi) = 84 km
Help help math please help help help help
Answer:
Answered is x= 55x
Step-by-step explanation:
13x+10 * 12x+20
soln:
or, 13x+12x+10+20
or, 25x+30
:., therefore, x=55x
Three students, Madeline, Austin, and Aubree, line up one behind the other. How
many different ways can they stand in line?
Answer:
6 Ways
Step-by-step explanation:
Given: 3 students, Madeline, Austin, and Aubree
To Find: How many different ways can they stand in line?
Solution: 3 students, can line up in 3 so 6 ways.
9÷108 please tell me
Answer:
108 ÷ 9 = 12
Step-by-step explanation:
Answer:
0.083333333333333
Step-by-step explanation:
Bradley is 27 years older than Madison. Seven years ago, the sum of their age was 59. How old are they now?
Answer:
bradley is 50 and madison is 23
Step-by-step explanation:
m + 27 = b
(b - 7) + (m - 7) = 59
[(m + 27) - 7] + (m - 7) = 59
m + 20 + m -7 = 59
2m + 13 = 59
2m = 46
m = 23, b = 23 + 27 = 50
Let event A be defined as a randomly selected vehicle being silver or black. Let event B be defined as a randomly selected vehicle being a car or a truck. Find P(NOT B | A).
Answer:
i think its c in my opionion not sure tho
Answer:
D. 13/36
Step-by-step explanation:
pls help me solve the missing answers thanks!
Answer: I'll give you formula
Step-by-step explanation: circumference = 2 x π x radius
radius = diameter÷2 area = π × radius²
19 increased by twice joses savings
Answer:
19 x 2 38 is ur answer to the problem
What is the answer to
2 3/8 - 1 5/8 =
Answer:
6/8
Step-by-step explanation:
you have to convert each fraction into an improper. because the denominators are already the same, you dont have to worry. once you have it as an impropper, you can now subtract it. 19/8 - 13/8 = 6/8
reduce if you can
Evaluate the expression for the given variable values.
3∣m+2n∣2−(mn)2 if m=3 and n=−5
help please!!!!!!!!!!!
Answer:
1/(xy)³
Step-by-step explanation:
The applicable rule of exponents is ...
a^-b = 1/a^b
_____
[tex](x\cdot y)^{-3}=\boxed{\dfrac{1}{(x\cdot y)^3}}[/tex]
Use synthetic division to find the result when 3x^3 + 4x^2 - 5x - 2 is divided by x + 2
Check the picture below.
1 1/16 divided by 1 1/16
Answer:
1
Step-by-step explanation:
A new hotel was built with r rooms. The first weekend it was open, 3/5 of them were reserved. Which of the following expressions represents the number of rooms which were reserved?
A r-3/5
B r x 3/5
C r+3/5
D ÷3/5
Answer:
D ÷3/5 that's the answer i think I worked it out myself
pls help me find the missing angle
Answer:
b=114
c=43................
JACK'S bag weighed 10.5
Pounds and William's bag
weighed 10.05 POUNDS.
Who's bag weighed more?
How much more did it
weigh?
Help me please! This is so confusing!
Answer:
a) yes, 2, 1/2
b) b = 2t; t = 1/2b
Step-by-step explanation:
a) The number of batteries is twice the number of toys. Using the variables of part B, this relation is ...
b = 2t
This is of the form required for a proportional relation: y = kx, with a value of k=2.
__
If we divide the above equation by 2 on both sides, we get ...
1/2b = t
This is also a proportional relation, with a constant of proportionality of 1/2.
Toys and batteries are in a proportional relationship. The constants of proportionality are 2 or 1/2.
__
b) As we saw above, the equations can be ...
b = 2t
t = 1/2b
solve pls brainliest
Answer:
7
Step-by-step explanation:
If the parent function is y = 4x, which is the function of the graph?
Answer: y=3(4)x
Explanation: I took the test
The function represented in the graph is y = 3 (4ˣ).
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
From the given graph, consider any point.
Consider the point (0, 3).
That is, when x = 0, the value of y is 3.
We have the parent function as,
y = 4ˣ
Then the function represented will be of the form,
y = m (4ˣ)
Substitute the point (0, 3).
3 = m (4⁰)
3 = m × 1 [since any number raised to 0 is 1]
m = 3
So the function is y = 3 (4ˣ).
Hence the function is y = 3 (4ˣ).
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Your question is incomplete. The complete question is as given below in the image.
Which is greater, -6.4 or -6.5? please explain !!
Answer:
-6.4 is GREATER.
The number closest to 0 is greater.