Answer:
D - cos(157)
Step-by-step explanation:
Cos sum angle identity
cos(A+B) = cosAcosB - sinAsinB
103+54=157
The correct answer to the question is Cos 157
There are two ways to solve this question:
Method 1:Evaluate: Cos103Cos54 – Sine103Sine54
This can be obtained as follow:
Cos103Cos54 – Sine103Sine54
= –0.1322 – 0.7883
= –0.9205Next, we shall evaluate each option given in the question to see which will be equivalent to –0.9205. This is illustrated below:
Sine 49 = 0.7547
Cos 49 = 0.6561
Sine 157 = 0.3907
Cos 157 = –0.9205From the above evaluation, we can see that Cos 157 is equivalent to Cos103Cos54 – Sine103Sine54
Thus, Cos 157 is the correct answer to the question.
Method 2Again, we can apply the addition formula from trigonometry.
Cos (A – B) = CosACosB + SineASineB
Cos (A + B) = CosACosB – SineASineB
Sine (A + B) = SineACosB + SineBCosA
Sine (A – B) = SineACosB – SineBCosA
Comparing
Cos103Cos54 – Sine103Sine54 with the formula given above, it is very clear that:
Cos103Cos54 – Sine103Sine54 = Cos(103 + 54)Cos103Cos54 – Sine103Sine54 = Cos 157
Recall:
Cos103Cos54 – Sine103Sine54 = –0.9205
Cos 157 = –0.9205
Therefore, Cos 157 remains the correct answer to the question.
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The ratio of boys to girls in a class is 3:4. There are 35 students in the class. How many students are girls?
Answer:
20 students are girls. (15 are boys)
Step-by-step explanation:
if the ratio is 3:4 and the total students is 35, you can make the following equation:
3x + 4x = 35
7x = 35
x = 5
then, multiply x by 4.
5*4 = 20.
20 students are girls. (15 are boys.)
sorry if this isn't well explained. hopefully I still helped!
Solve the equation 2/3x - 1/5x = x - 1 What does X equal help plz!!!!!!
At a soccer match, for every goal team A scored, team B scored 3 goals. The ratio of the number of goals scored by team A to the number of goals scored by team B is
PLEASE HELP!
Which graph represents f(x) = 1/2x^5
The solution is option a)
How to graph an equation?
To graph an equation using the slope and y-intercept. Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). Next, plot the y-intercept. From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.
Given data ,
Let the function be f ( x ) = ( 1 / 2 ) x⁵
Now , to know which graph represents the equation mentioned, you can put some values of x in the equation and evaluate the value of y
So , when x = 1
y = ( 1 / 2 )
when x = 2
y = ( 1 / 2 ) × 2⁵
= 2⁴
= 16
when x = -1
y= ( 1 / 2 ) × ( -1 )⁵
= - ( 1 / 2 )
So , by plotting all the points of x and y in the graph , Option a ) satisfies the solution
Hence , the solution is Option a)
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Untitled Question *
1 point
Find the value of x that makes lines u and v parallel.
x +93
21
1
A) 7
C) 9
B) 5
D) -3
Choose
Can someone please explain these to me??
Answer:
x = -1
y = 5
Step-by-step explanation:
When a graph has a line going straight up and down it means the x value of the line is the same it never changes
Example: (-1, 5) (-1, 2) (-1, -3)
When a graph has a line going straight left to right it means the y value never changes
Example: (5, 5) (-10, 5) (8, 5)
Ross said that if (x² + a)(x2 + b) = O means that (x2 + a) = 0 or (x2 + b) = 0, then(x+
a)(x2 + b) = 2 means that (x2 + a) = 2 or (x? b) = 2. Do you agree with Ross? Explain
why or why not.
9514 1404 393
Answer:
no; 2 has many factors besides 2
Step-by-step explanation:
The zero product rule says the only way a product may have a value of zero is if one or more factors is zero. That is why one of the factors of ...
(x^2 +a)(x^2 +b) = 0
must have a value of 0.
__
The same cannot be said of 2. We might have (1/2)(4) = 2, for instance, in which neither factor is 2. That a product is 2 is not a requirement that one of the factors be 2.
SOMEONE PLEASE HELP ME
I need help on 1 and 2, please :)
Answer:
you cute no cap
Step-by-step explanation:
Find the measure of this missing angle?
Answer:
B = 61°
C = 61°
Step-by-step explanation:
The sum of all the angles is 360.
When the angles are formed with straight lines like shown the angles back to back are equivalent or equal.
So you can take 119 and add it by itself to get 238.
You then get 360 and subtract 238 which gets you 122.
Then divide 122 by two and you have the answer for both b and c which is 61.
my math asks what is 30÷50?
Craig went to the video game store $100 he bought a video game system for $65 and then bought games for $5 each. What is the greatest number of games that Craig could have bought? I need an equation and the answer
Answer:
100=65+5x
-65 -65
35=5x
35/5 5/5
7=x
Step-by-step explanation:
Grace swam a mile in 21 minutes. Jill swam a mile in 19.47 minutes. How
much faster did Jill swim than Grace?
Answer:
1.53
Step-by-step explanation:
because 21 minus 19.47= 1.53
Answer:
1 minute and 13 seconds
Step-by-step explanation:
⚠️PLEASE HELP⚠️
1. A 16 oz box of cereal for $3.36 or a 24 oz box for $5.52
2. 3 lbs. of ground beef for $3.87 or 5 lbs. for $6.25 EUS
3. A package of 18 pens for $6.84 or a package of 30 for $8.40
4. A 16 oz can of soup for $1.99 or a 24 oz can for $3.99 es des
5. A 14 oz bottle of ketchup for $1.69 or a 12 oz bottle for $1.29 orations
6. A package of 3 batteries for $4.80 or a package of 12 for $14.76 le Drive
7. A 7 lb. bag of dog food for $10.92 or a 10 lb bag for $12.99
Answer:
Step-by-step explanation:
nvhnyhrn uk s*d
Hello again! I need help with this question!
Answer:
(f o g) = -5x+22
Step-by-step explanation:
f o g basically means f(g(x))
So:
f(g(x)) = -5(x-4)+2
f(g(x)) = -5x+20+2
f(g(x)) = -5x+22
Therefore: (f o g) = -5x+22
This is called function composition. Basically, the output of g(x) goes into the input of f(x).
Answer:
its the 3rd option
Step-by-step explanation:
its right
Consider the table. -4 -2 0 2 4 9 6 0 3 Determine the slope of the linear function described by the table.
Answer:
Let's see what to do buddy...
Step-by-step explanation:
_________________________________
Step (1)
First we need two points of the table :
I choose a = ( 0 , 3 ) and b = ( 2 , 0 ) .
_________________________________
Step (2)
To find the slope of linear functions using two points, we use the following equation :
[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]
Where a and b are two points of the function.
_________________________________
Step (3)
Now just need to put the coordinates of the points which we chose.
a = ( 0 , 3 ) °•°•°•°•°•°•° b = ( 2 , 0 )
[tex]slope = \frac{0 - 3}{2 - 0} \\ [/tex]
[tex]slope = - \frac{3}{2} \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
BACK NEXT You're cooking a recipe that requires \frac{3}{5} 5 3 cup of flour, but you only want to make \frac{1}{3} 3 1 of the recipe. Which answer shows the correct amount of flour you need in the most reduced form? A \frac{1}{5} 5 1
Answer:
1/5
Step-by-step explanation:
1/3 of 3/5 is 1/5
The amount of flour you need is 1/5 cup.
what is the evaluated expression of
(4^-3) (4^6)
Answer:
4096/64
Step-by-step explanation:
whats {(5-8)+5}+10/2-20/5
Answer:
{(5-8)+5}+10/2-20/5= 3
Step-by-step explanation:
{(5-8)+5}+10/2-20/5
PEMDAS
Parentheses first
5-8 = -3
( -3 + 5 ) + 10/2 - 20/5
-3 + 5 = 2
2 + 10/2 - 20/5
10/2 = 5
2 + 5 - 20/5
2 + 5 = 7
20/5 = 4
7 - 4 = 3
can someone please answer this asap thank you !
Jason solved the following equation to find the value for x.
–8.5x – 3.5x = –78
x = 6.5
Describe how Jason can check his answer.
Sample answer:
Substitute the value for x into the original equation. Simplify using order of operations. If the statement is true, Jason’s solution for x is correct. If the statement is false, Jason’s solution for x is incorrect.Step-by-step explanation: (My answer)
1) Subtract 8.5 and 3.5, that equals 12.
[tex]8.5x - 3.5x = -78[/tex]
2) Multiply 78 and 12, that equals 6.5 .
[tex]\frac{12x}{12} = \frac{78}{12}[/tex]
3) Check your answer.
[tex]-8.5 (6.5) -3.5 (6.5) = -78[/tex]
Multiply 8.5 and 6.5, that equals 55.25. Next, multiply 3.5 and 6.5, that equals 22.75.Finally, you will need to subtract your answers. Subtract both 55.25 and 22.75.Once you've done that, the answer you should get is 78.
78 is equal to 78, that is your final answer and it is correct.
Geometry On the number line point B is between points A and C. The distance between points a and b is 1/3 of AC. Where is point B located?
Answer:
hfbhlbghulbfrhbuf
Step-by-step explanation:
hbbfhhbfhfhlflb frf
Find the acute angle between the lines whose slopes are 2 & 1\3.
Answer:30 degrees
Step-by-step explanation:There are a couple of ways to do this.
This is the straightforward, “follow-your-nose” way. Find a point on each line. (Say, (1,2) on the line with slope 2 and (-1,1) on the line with slope -1. Then the angle in the triangle formed by the origin (0,0) and these other two point is the desired angle. One can find the cosine of angle in the triangle using the Law of Cosines, since the lengths of all of the sides can be found directly from the distance formula and the coordinates of the points. Finally, use arccosine to get from the cosine of the angle to the angle itself.
There is also a “slick” way, which relies on remembering the subtraction formula for tangents. tan(u-v) = [tan(u) - tan(v)] / [tan(u) + tan(v)]. Consider u as the angle between the positive x-axis and the line with slope -1, and v as the angle between the positive x-axis and the line with slope 2. Then the requested angle is u-v. We know tan(u) = -1 and tan(v) = 2, so substituting into the subtraction formula for tangents allows us to find tan(u-v). Finally, use arctangent of that value to find u-v.
The bottom of a pylon is 3 1/2 yards below
the ground. The top of the pylon is 2 1/2 yards
above the ground. How tall is the pylon?
Answer:
6 yards
Step-by-step explanation:
The pylon is 6 yards tall.
What the types of fractions ?There are mainly two types of fractions proper fraction and improper fraction.In proper fraction numerator is smaller than the denominator and in improper fraction denominator is smaller than the numerator.
According to the given question
A pylon has some part of it below the ground and some part is above the ground and we have to find the total length of it.
Given [tex]\whole{3}\frac{1}{2}[/tex] yards is below the ground and [tex]\whole2\frac{1}{2}[/tex] yards above the ground.
∴Total length of the pylon is (7/2 + 5/2) yards.
= 12/2 yards.
= 6 yards.
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Ashley has a $80 gift card to her favorite coffee shop. Each day, she uses her gift card to buy the a coffee for $4.50. Aaron has a $60 gift card to the same coffee shop. Each day, he uses his gift card to buy an iced tea for $2.50. For what number of drinks purchased will Ashley's gift card balance be equal to Aaron's?
A)9 drinks
B)10 drinks
C)
D)11 drinks 12 drinks
Answer:
The answer is B
Find the slope of the line that passes through:
(-4, 7) and (-6, - 4)
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{ \frac{11}{2} }}}}[/tex]
Step-by-step explanation:
[tex] \text{Let \: the \: points \: be \: A\: and \: B} [/tex]
[tex] \text{A \: ( - 4 \:, 7 \: )} \longrightarrow \: \text{(x1 \:, y1)}[/tex]
[tex] \text{B \: ( \: - 6 \:, - 4 \: )} \longrightarrow \text{(x2 \:, y2)}[/tex]
[tex] \underline{ \text{Finding \: the \: slope} }: [/tex]
[tex] \boxed{ \sf{slope = \frac{y2 - y1}{x2 - x1} }}[/tex]
[tex]↣ \: \sf{slope = \frac{ - 4 - 7}{ - 6 - ( - 4)} }[/tex]
[tex] \underline{ \text{Remember}} : [/tex]
[tex] \text{ \: ( + ) * ( + ) = ( + )}[/tex][tex] \text{( + ) \: * \: ( - ) = ( - )}[/tex][tex] \text{( - ) \: * \: ( - ) = ( + )}[/tex][tex] \text{( - ) \: * \: ( + ) = ( - )}[/tex][tex] \sf{↣ \: slope \: = \: \frac{ - 4 - 7}{ - 6 + 4}} [/tex]
[tex] \underline{ \text{Remember}}: [/tex]
The positive integers are always added but posses the positive ( + ) sign.The negative integers always added but posses the negative ( - ) sign.The negative and positive integers are always subtracted but posses the sign of the bigger integer.[tex] \sf{↣ \: slope = \frac{ - 11}{ - 2} }[/tex]
[tex] \sf{↣ \: slope \: = \frac{ \cancel{ - } \: 11}{ \cancel{ - } \: 2} }[/tex]
[tex] \sf{↣ \: slope \: = \frac{11}{2} }[/tex]
[tex] \text{Hope \: I \: helped!}[/tex]
[tex] \text{Best \: regards!}[/tex]
~[tex] \text{TheAnimeGirl}[/tex]
Dan and David win some money and share It into the ratio 5:2 Dan gets £55.how much did they win in total?
Answer:
$77
Step-by-step explanation:
Answer:
77
Step-by-step explanation:
because den whose part is 5:2 got 55, then you should divide 55 by 5 and get 11, then multiply 11 by 2 equals 22.
55 + 22 = 77
I really need help!!!!!!!!!!!!!!!!!!!!! Im so confused between 1st and 4th.... welp
Answer:
you are correct it is a
Step-by-step explanation:
Answer:
Its A
Step-by-step explanation:
Simplify the following expressions:
x−(x−14)
thanks this should be easy I'm just working on other problems right now and don't want to deal with it
Answer:
x-(x-14)
Distribute negative one by everything in the parentheses
and you will get x=14
Step-by-step explanation:
is 2yx – 3y + 2x = 0 a linear function or not a linear function
is a linear function because It forms a straight line or represents the equation for the straight line
It has only one degree. Or we can also define it as an equation having the maximum degree 1.
All these equations form a straight line in XY plane. These lines can be extended to any direction but in a straight form.
The general representation of linear equation is;
y = mx +c
Where x and y are the variables, m is the slope of the line and c is a constant value.