The expression sin(23°)cos(7°) + cos(23º)sin(7°) is equivalent to
Answer:
[tex]\sin(30)[/tex]
Step-by-step explanation:
Given
[tex]\sin(23) \cos(7) + \cos(23) \sin(7)[/tex]
Required
An equivalent expression
The above is an illustration of the sine formula which states:
[tex]\sin(A) \cos(B) + \cos(A) \sin(B) = \sin(A + B)[/tex]
In this case:
[tex]A = 23\\ B = 7[/tex]
So:
[tex]\sin(23) \cos(7) + \cos(23) \sin(7) = \sin(23 + 7)[/tex]
[tex]\sin(23) \cos(7) + \cos(23) \sin(7) = \sin(30)[/tex]
Hence, an equivalent expression is: [tex]\sin(30)[/tex]
Ms McNaughton solved the equation below:
8x = 64
8x − 8 = 64 − 8
x = 56
Did she solve the equation correctly or incorrectly? (1 points) If the solution is correct, explain the steps she took to find the solution. If the solution is incorrect, show the correct steps to solve the equation. (4 points)
Answer:
she solved it incorrectly
Step-by-step explanation:
8x=64
8x÷8=64÷8
x=8
Answer:
no she did not
8x=64
÷8 ÷8
x=8
Step-by-step explanation:
simple
Pls Help! Which of the following equations represents a line that is parallel to the line
y = - x – 16.
A.) 10y + 20 = -5x
B.) -4x + 2y = 16
C.) y + 2x = 8
D.) 3y = 4x + 6
Please do not put a link or i will report you!
Answer:
B is the correct answer
Step-by-step explanation:
-4x+ 2 y= 16
Again I don’t know this . Plz help me
Answer:
y-2=0(x-3)
Step-by-step explanation:
If F(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f°g)(x)?
Answer:
The composite function is
[tex](f \circ g)(x) = 3x^2 + 5[/tex]
Step-by-step explanation:
Composite functions:
Suppose that we have two functions, f and g. Their composite is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
In this question:
We have that:
[tex]f(x) = 3x + 2[/tex]
[tex]g(x) = x^2 + 1[/tex]
The composite function is:
[tex](f \circ g)(x) = f(g(x)) = f(x^2+1) = 3(x^2 + 1) + 2 = 3x^2 + 3 + 2 = 3x^2 + 5[/tex]
The composite function is
[tex](f \circ g)(x) = 3x^2 + 5[/tex]
A bag contains 9 orange marbles and 36 green marbles. If a representative sample contains 2
orange marbles, then how many green marbles would you expect it to contain? Explain.
Because the ratio of orange marbles to green marbles is in the population, the expected number
of green marbles is times the number of orange marbles in the representative sample. There
should be green marbles.
Answer:
U can divide or multiply
Step-by-step explanation:
What is the solution to the system of equations?
A. (2, -5)
B. (-2, -5)
C. (-5,2)
D. (-5, -2)
Answer:
B. (–2, –5)
Step-by-step explanation:
Correct Answer
Mark the relations that ARE functions
{(2,5) (-3, 4) (0,1)}
{(1,1) (2,1) (0, 1) (-8, 1)}
{(3, -2) (9, 1) (3, 5) (9, 3)}
{( 2,5) (0, 3) (-1, 1) (7, 13)}
Answer:
first
second
fourth
Step-by-step explanation:
one domain must only one range
Attempt 1 of 2
<< <
1
2
Find the vertices for the ellipse with the given equation.
x2 + 9y2 + 2x + 18y + 1 = 0
Answer:
is this quadratic equation
Find the length of VW.
Answer:
1.8
Step-by-step explanation:
it is on the diagram
Lily used lime green, pink, blue, orange and yellow to make the bracelet. What fraction of the bracelet was the pink, blue and orange?
Find the missing angle and round to the nearest tenth! Thank you :)
Indicate which formula you would use to solve for the missing side B and then write your answer correct to two decimal places.Write only the formula down.. Single line text.
Answer:
44.04°
Step-by-step explanation:
We would use the Law of Sines, [tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} =\frac{sin(C)}{c} [/tex]
Applying the formula, let's find b°:
Thus:
[tex] \frac{sin(b)}{3.6} = \frac{sin(100)}{5.1} [/tex]
Cross multiply
[tex] sin(b)*5.1 = sin(100)*3.6 [/tex]
Divide both sides by 5.1
[tex] sin(b) = \frac{sin(100)*3.6}{5.1} [/tex]
[tex] sin(b) = 0.69516 [/tex]
[tex] b = sin^{-1}(0.69516) [/tex]
b = 44.0399685° ≈ 44.04° (2 decimal places)
what is order of operations and why is it important
Answer:
PEMDAS
Step-by-step explanation:
The order of operations is the order in which you solve an equation to find the correct answer. This is very important because randomly solving parts of an equation without using the order of operations will result in the wrong answer. The order of operations is PEMDAS which stands for: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Example:
[tex](2*2)^{2}+6/3-1[/tex]
Using PEMDAS to solve this equation we get 17 as our answer. However, if we solve it in order of how it appears we end up with 19/3 or 6.33, which is a very different answer.
Please help i'll give brainliest
For a television commercial 20 cars will be parked bumper to bumper to form a line. Which of the following would be the approximate length of the line of cars?
1/2 mile
1/8 mile
800 feet
300 feet
Answer:
300'
Step-by-step explanation:
Answer:
1/8 mile
Step-by-step explanation:
Because if you do the math the avarge car is 4.7 feet multiply that by 20 and there is your answer
Which object is located at the point (4.3)
A. Star
B. Circle
C. Triangle
D. Rectangle
Which one is it help me pls
I need help with this trigonometry question.
“Solve the right triangle.
“Round your answers to the nearest tenth.”
CAN SOMEONE PLZ ANSWER THIS ITS DUE AT 11:59 APRIL 11 2021 AND ILL MARK U BRAINLIST
Answer:
answer is c
Step-by-step explanation:
Answer:
c. 586.2
Step-by-step explanation:
add all areas together:
127.2 for semi circle on right
22x18=396 for middle square
7*9=36 for 2 triangles on left
Please help i need to get these right or i fail WILL GIVE BRAINLEST!!!
Answer:
1. C 4x4x4x4x4
2. Power is 5 and the Square yards are 25
3. 2^3 ^2
Step-by-step explanation:
what is more 7921 ft or 3 / 2 miles
Answer:
7,921
Step-by-step explanation:
If you get a calculator and put in 3 divided by 2, you will get 1.5 which is less than 7,921, by 7,919.5.
Drag and drop three values into the space provided that will make the inequality 18 − 3x < 10 true.
Answer:
https://brainly.com/question/22830500
Step-by-step explanation:
please help answer
The inequality is solved and the solution is x > 8/3
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
18 - 3x < 10
Adding 3x on both sides , we get
3x + 10 > 18
Subtracting 10 on both sides , we get
3x > 8
Divide by 3 on both sides , we get
x > 8/3
Hence , the inequality is x > 8/3
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ3
The table shows how many children and adults prefer each of two different
fruits. How would you find the joint relative frequency of being a child who
prefers watermelon?
Watermelon
Grapes
Total
Child
132
85
217
Adult
111
117
228
Total
243
202
445
A. Divide 132 by 445.
B. Divide 132 by 243.
C. Divide 243 by 445.
D. Divide 132 by 217
Answer:
B
Step-by-step explanation:
i did the math
The joint relative frequency of being a child who prefers watermelon is 132/445 option (A) Divide 132 by 445 is correct.
What is a conditional relative frequency?It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the frequency cell by the total frequency.
To find the joint relative frequency of being a child who prefers watermelon:
Total number of children who prefers watermelon = 132
Total number of children and adults = 445
joint relative frequency of being a child who prefers watermelon:
= 132/445
Thus, the joint relative frequency of being a child who prefers watermelon is 132/445 option (A) Divide 132 by 445 is correct.
Learn more about the conditional relative frequency here:
brainly.com/question/8358304
#SPJ2
The speed s in m/s of an athlete can be modeled by the
function
s = 9.8 – 9.8e-0.88t
where t is the time (in seconds) after the
athlete starts running. Graph this model and use the graph to
estimate the speed of the athlete 2 seconds after his launch.
Round your answer to the nearest whole m/s.
speed m/s
Answer:
Step-by-step explanation: The equation is s = 9.8 – 9.8e-0.88t and we need to find the speed if t or time = 2 so to solve this equation algebraically you would;
[tex]s = 9.8-9.8e-0.88(2)[/tex]
[tex]s = 9.8-9.8e-1.76[/tex]
[tex]s = 8.04-9.8e[/tex]
and after graphing it you would get
[tex]-18.5991619189[/tex]
which after rounding and using absolute value would be
[tex]s=18.6[/tex]
Please help me giving brainliest
Answer:
42cm^2
3x2=6x7=42
Step-by-step explanation:
Pls help asap help I’ll mark brainleast
Answer:
C
Step-by-step explanation:
1/2bh is the formula for the area of a triangle
multiply the base and the height
9 x 19 = 171
then multiply by 1/2 or divide by 2
171/2 = 85.5 or 85 1/2
A) What kinds of living things get their energy directly from the sun?
B) Where do consumers get their energy?
C) Why is sunlight important to animals that eat other animals?
Brainlist! Also don’t get your answer from online pls
And I report ppl who add links’s :)
Answer: A) Producers B) Consumers constitute the upper trophic levels. Unlike producers, they cannot make their own food. To get energy, they eat plants or other animals, while some eat both. c) Through the photosynthesis process, producers, such as grass, absorb the sun's light energy to produce food (stored sugar and starches). Consumers cannot make their own food, so they have to consume other organisms. The food of almost any kind of animal can be traced back to plants and the sun.
Step-by-step explanation:
Help please explain how you got the answer
Answer: V≈900 ft³
Step-by-step explanation:
Formula
V=πr²h
Given
r=5 ft
h=12 ft
Solve
V=πr²h
V=π(5)²(12)
V=π(25)(12)
V=300π
V≈300(3)
V≈900 ft³
Hope this helps!! :)
Please let me know if you have any questions
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9514 1404 393
Answer:
cylinder and cone256π ≈ 804.25 m³Step-by-step explanation:
The figure is a composite of a cylinder added to a cone.
The height of the conical portion is (20 m -14 m) = 6 m. We know that the volume of a cone is 1/3 the volume of a cylinder with the same dimensions. Another way to think of that is the volume of a cone is the same as that of a cylinder of 1/3 the height.
So, this figure has a volume equivalent to that of a 14 m tall cylinder topped by a (6 m)/3 = 2 m tall cylinder. Effectively, we're seeking the volume of a cylinder of radius 4 m and height 16 m.
V = πr²h
V = π(4 m)²(16 m) = 256π m³ ≈ 804.248 m³
The volume of the "silo" is 256π ≈ 804.25 m³.
_____
If you use 3.14 for π, you will get 803.84 m³.
y is directly proportional to x. When x = 6, y = 9
Find x when y = 15
Answer: x = 16
Step-by-step explanation:
A triangle has side lengths of 12 centimeters, 12 centimeters, and 18 centimeters. What kind of triangle is it?
Answer:
isosceles triangle
Step-by-step explanation:
2 sides the same