Answer:
y= -2 x= 3
y= 3 x= -7
Step-by-step explanation:
If 0 < f ≤ 90 and cos(22f − 1) = sin(7f + 4), what is the value of f?
f = 3
f = 4
f = 5
f = 6
Answer:
f = 3Step-by-step explanation:
Given the equation cos(22f − 1) = sin(7f + 4), the following steps must be followed in order to get the value of f;
From the trigonometry identity, sin(90-theta) = cos theta.
cos(22f-1) = sin (90-(22f-1))
cos(22f-1) = sin (90-22f+1)
cos(22f-1) = sin (91-22f)... 3
substituting eqn 3 into the original equation given, we will have;
sin (91-22f) = sin(7f + 4)
91-22f = 7f+4
7f+22f = 91-4
29f = 87
f = 87/29
f = 3
A correct option is an option (a)
Given function is,
[tex]cos(22f-1) = sin(7f + 4)[/tex]
As we know the relation,
[tex]cosx=sin(90-x)[/tex]
Now, apply the above relates to the given function.
[tex]cos(22f − 1) = sin(7f + 4)\\sin(90-(22f-1))=sin(7f + 4)\\90-22f+1=7f+4\\-22f-7f=4-91\\-29f=-87\\f=3[/tex]
So, the required value is [tex]f=3[/tex]
Read More:https://brainly.com/question/16638358
A cube has an edge length of 7 inches. What is its volume, in cubic inches?
Answer:
343 cubic inches
Step-by-step explanation:
7 times 7 times 7 is 343
Solve the system of linear equations by graphing. Round the solution to the nearest tenth.
y = –0.25x + 4.7
y = 4.9x – 1.64
The approximate solution to the system is (
,
).
Answer:
The approximate solution to the system is (1.2, 4.4)
x = 1.2 and y = 4.4
Step-by-step explanation:
The solution of the system of linear equations equation y = –0.25x + 4.7 and y = 4.9x – 1.64 is shown in the attached graph. The red line represents the equation y = –0.25x + 4.7 and the blue line represents the equation = 4.9x – 1.64.
The solution of the system of equations is their point of intersection shown on the graph.
The point of intersection is (1.231, 4.392). To the nearest tenth, it is (1.2, 4,4). So x = 1.2 and y = 4.4.
So the approximate solution to the system is (1.2, 4.4)
Please please help!!!!
Which ordered pair is a solution of this
equation?
3x - 7y = 28
Click on the correct answer
A.
(-4,1)
B.
(0,-4)
C.
(-4,0)
D.
(1,-4)
Raj was asked to fully simplify this polynomial and put it into standard form.
2x2y + 8x3 – xy2 – 2x3 + 3xy2 + 6y3
Raj simplified the polynomial with a final term of 6y3. What is the first term of the polynomial Raj ended up with?
6x3
8x3
2xy2
3xy2
Step-by-step explanation:
The first term is 6x3
Because he subtracted like terms 8x3 and 2x3
Answer:
6x³
Step-by-step explanation:
2x²y + 8x³ – xy² – 2x³ + 3xy² + 6y³=
6x³+2x²y+2xy²+6y³
En una granja se observa que por 12 patos hay 5 gallinas, por tres gallinas hay 8 pavos ;por 10 pavos hay 9 cerdos. ¿A cuantos patos equivalen 7 cerdos?
Answer:
7 ducks equals 7 pigs.
Step-by-step explanation:
English Translation
On a farm it is observed that for 12 ducks there are 5 chickens, for three chickens there are 8 turkeys, for 10 turkeys there are 9 pigs. How many ducks equals 7 pigs?
Solution
For 12 ducks, there are 5 chickens
12 ducks = 5 chickens
For 3 chickens, there are 8 turkeys
3 chickens = 8 turkeys
For 10 turkeys, there are 9 pigs
10 turkeys = 9 pigs
We first need to create a direct relationship between ducks and pigs to know how many ducks are equivalent to 7 pigs.
9 pigs = 10 turkeys
8 turkeys = 3 chickens
10 turkeys = (10×3/8) chickens = 3.75 chickens
Hence, 9 pigs = 10 turkeys = 3.75 chickens
9 pigs = 3.75 chickens.
12 ducks = 5 chickens
5 chickens = 12 ducks
3.75 chickens = (3.75×12/5) ducks = 9 ducks.
9 pigs = 3.75 chickens = 9 ducks
9 pigs = 9 ducks.
Hence, 7 pigs = 7 ducks too.
Hope this Helps!!!
LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
12. ___________________ lines cross at a right angle.
A) Parallel
B) Slanted
C) Intersecting
Answer:
The answer is A, parallel.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
took the test
HELP PLEASE
18 miles= how many feet
_________feet
Answer:
18 miles= how many feet
____95,040_____feet
Step-by-step explanation:
happy to help ya:)
what is the answer for AC =
Answer:
The length of AC is 2.33 units.
Step-by-step explanation:
You have to use Tangent Rule, tanθ = opposite/adjacent :
[tex] \tan(θ) = \frac{oppo.}{adj.} [/tex]
Let oppo. = AC,
Let adj. = BC = 5,
Let θ = 25°,
[tex] \tan(25) = \frac{ac}{5} [/tex]
[tex]ac = 5 \tan(25) [/tex]
[tex]ac = 2.33 \: units \: (near.hundredth)[/tex]
A store sells an outfit that consists of a shirt, a tie, and a pair of pants. The store purchases the shirt for $18, the tie for $12, and the pants for $35. The percent of markup is 22%. Find the selling price of the outfit.
Answer:The selling price of the outfit is $79.3
Step-by-step explanation:
18 + 12 + 35 = $65
65* 22% = 14.3
14.3 + 65 = $79.3
or
100% + 22% = 122%
122% of 65
1.22 * 65 = 79.3
four rational numbers between 2/3 and 4/5
Answer:
5/7, 11/15, 23/31, 47/63
Step-by-step explanation:
any number you can write into a fraction between those numbers
Use the Law of Sines to complete an expression that represents the angle measure x.
Answer:
The length of a is equal to 14.9.
The angle measure of b is equal to 71°.
The length of c is equal to 25.5.
General Formulas and Concepts:
Pre-Calculus
Law of Sines:
[tex]\displaystyle \bold{ \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} }[/tex]
Step-by-step explanation:
Step 1: Define
Identify given from triangle.
Length corresponding with x°: 14.9
Other given angle: 71°
Length corresponding with 71°: 25.5
Step 2: Find Values
[Law of Sines] Substitute in variables:∴ we have completed the expression using Law of Sines.
---
Topic: Precalculus
Unit: Trigonometry
(PIC INSIDE!!!) What is the equation of the following linear function?
Answer:
y=4x-4
Step-by-step explanation:
Since this line rises 4 units for every 1 it moves to the right, it has a slope of 4/1=4. Also, since it intersects the y axis at the point (0,-4), b=-4.
Therefore, the equation is y=4x-4. Hope this helps!
2,7, 12, 17, 22, 27, 32, 37, ...
f(1) =
Common Difference:
Explicit Rule:
Answer:
Common difference=5.
A square has side lengths of 9 use the Pythagorean theorem to find the length of the diagonal
Answer:
12.73
Step-by-step explanation:
The diagonal of the square forms the shape of a right angle with two adjacent sides of the square.
The diagonal is the hypotenuse.
Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides of the triangle:
[tex]d^2 = a^2 + b^2[/tex]
where d = hypotenuse = diagonal.
Since the other two sides are equal, then:
[tex]d^2 = a^2 + a^2\\\\d^2 = 2a^2[/tex]
The length of the side of the square is 9:
[tex]d^2 = 2 * 9^2 \\\\d^2 = 2 * 81\\\\d^2 = 162\\\\d = \sqrt{162}\\ \\d = 12.73[/tex]
The length of the diagonal is 12.73
Answer:
12.73
Step-by-step explanation:
Which angles are corresponding angles?
Check all that apply.
8
4
7
3
6
2
O A. 6 and 3
B. 1 and 6
C. 1 and 3
D. 5 and 7
I E. 6 and 8
F. 7 and 2
A vegetable garden measures 20m x 30m. He wants to double the area by adding a strip of ground around the outside. How wide should the strip be?
Answer:
Step-by-step explanation:
Can someone please help with this answer
Answer:
16x9= 144 cm2
Step-by-step explanation:
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!
Answer:
see below
Step-by-step explanation:
(x + 1.5)² - 2.25 - 28 = 0
(x + 1.5)² - 30.25 = 0
(x + 1.5)² = 30.25
One number is 5 more than twice another and their sum is 23.
Which of the following system of equations represents the word problem?
y= 2( x + 5) and x + y= 23
x + y = 23 and y= 2 x + 5
y=x+ 5 and y + 2(x+5) = 23
Answer:
x + y = 23 and y= 2 x + 5
Step-by-step explanation:
The number is 5 more than twice another so 2x + 5 = y
The two numbers have a sum of 23 so x + y = 23.
If the temperature is 20c what is it in Fahrenheit.
Answer:
The answer is 68 degrees Fahrenheit.
Step-by-step explanation:
The equation to convert Celsius to Fahrenheit is (C × 9/5) + 32.
So, first we calculate Celsius times 9/5. 20×9/5 = 36.
Then, we add 36 and 32 together. 36+32= 68
So, 68 is your answer.
i will give brainliest. Select the 2 equations that are equal to the expression z^8. Answers in picture below.
[tex]the \: right \: options \: are \\ option \: b \\ option \: c \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Function g can be thought of as a translated (shifted) version of f(x)=x^2.
PLEASE HELP I NEED THISSS!!!
Answer:
g(x) = x² - 3
Step-by-step explanation:
A quadratic function has been given as,
f(x) = x²
If the function f is translated by 'h' unit down over the y-axis, the new function obtained by the translation is,
g(x) = x² - h
From the graph attached, h = 3 units (shift of 3 units downwards)
Therefore, g(x) = x² - 3 will be the translated version of f(x).
what are the zero's f(x)=(x-3)(x+8)
Answer:
-8, 3
Step-by-step explanation:
[tex]f(x) = (x - 3)(x + 8) \\ plug \: f(x) = 0 \\ (x - 3)(x + 8) = 0 \\ x - 3 = 0 \: or \: x + 8 = 0 \\ x = 3 \: or \: x = - 8 \\ \therefore \: - 8, \: 3 \: are \: zeros \: [/tex]
The price of a vase was increased by 4% to £22. What was the price before the increase? Give your answer to the nearest penny.
Answer:
The price before the increase was £21.20
Step-by-step explanation:
Now, let the former price before the increment be £x
The increment would be 22-x
Mathematically, the percentage increment = difference between the prices/old price * 100%
Thus, we have(
(22-x)/x * 100 = 4
100(22-x) = 4x
2200-100x = 4x
100x + 4x = 2200
104x = 2200
x = 2200/104
x = 21.154
which is x = 21.2 to the nearest penny
Answer:
21.15
Step-by-step explanation:
22 × 10 = 220
100%+4%=104
104 ÷ 10 = 10.4
220 ÷ 10.4 =21.15384615
To the nearest penny it would be 21.15
solve ....... x/2 = 7
Answer:
x=14
Step-by-step explanation:
x/2=7
*7 on both sides
x=14
Answer: x=14
Step by step explanation:
Step 1: Multiply both sides by 2.
X/2*2=7*2
X=14
It was easy as that:D
What is the value of x?
Answer:
4
Step-by-step explanation:
LJK is a special right triangle with angle measures of 90° 60° 30°
If the side length of hypotenuse is 8√2 the side length that sees 30° would be half of it so it's 4√2
LMJ is a special right triangle with angles 90° 45° 45° and if the side length of hypotenuse is 4√2 the the value of equal sides would be 4
SOMEONE PLEASE HELP MEEE !!!
Answer:
see explanation for answers
Step-by-step explanation:
prism = 12*4 + 5*4 + 12*4 + 5*4 + 12*5 + 12*5 = 256 ft²
lateral surface area of pyramid = 4*1/2*5*5 = 50 ft²
area of square base of the pyramid = 5*5 = 25 ft²
total exposed surface area of the figure = 256 + 50 - 25 = 281 ft²
What is the y-value when x equals -12.
Answer:
-128 it’s on the table
Step-by-step explanation:
HEY!HERE IS UR ANSWER:
So as x=-12
Well then y=-200-6(-12)
y=-200+72 {Positive 72 cause negative 6 * negative 12 equals positive 72}
y=-128
HOPE IT MAKES UR DAY BETTER!!
Benjamin has 3 gallons of punch. He adds another 1··2gallon of juice to the punch. How many gallons of punch does he have now? How many cups? Explain your reasoning.
Answer:
4.2 gallons
67.2 cups
Step-by-step explanation:
He had 3 gallons of punch.
He added another 1.2 gallons.
The number of gallons of punch he has now is:
3 + 1.2 = 4.2 gallons
1 gallon = 16 cups
=> 4.2 gallons = 4.2 * 16 = 67.2 cups
He has 67.2 cups
