Answer:
[tex]A= 35.8[/tex]
Step-by-step explanation:
Given
[tex]sin(53.2) = cos(A)[/tex]
Required
Find A
In trigonometry
[tex]sin(\alpha) = cos(\theta)[/tex]
Then
[tex]\alpha + \theta = 90[/tex]
So, this gives:
[tex]54.2 + A= 90[/tex]
Make A the subject
[tex]A= 90-54.2[/tex]
[tex]A= 35.8[/tex]
$50 tool with 9.5% tax
Answer:
55.26
Step-by-step explanation:
Divide 50 by 9.5 to get the amount the tool will be taxed.
5.26
Add 50 to that to get the total
55.26
The tax rate charge on the tool that is worth 9.5% is $4.75. The total amount paid for the tool is $54.75
What is the tax rate charged on a piece of equipment?The tax rate charge on a piece of equipment follows a standard rate by tax charges organization in that geographical region.
Given that:
A tool is worth $50The tax rate charge = 9.5%= 9.5% × $50
= 0.095 × 50
= $4.75
The total amount paid for the tool is = $4.75 + $50 = $54.75
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Jorge swam a total of 173 minutes during 3 days. He swam the same number of
minutes each day, Which of the following is the best estimate of the number of
minutes Jorge swam each day?
o
60
40
20
30
Answer:
60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
173 divided by 3 =57.6666667. So i estimated it to 60
What is the most difficult math question you've ever had and why?
Answer:
Algebra questions cuz im bad at it
Step-by-step explanation:
Answer:
fractions
Step-by-step explanation:
confusing
IF SOMEONE EXPLAINS THIS TO ME CLEARLY I WILL GIVE YOU BRAINLIST
Answer:
235/3
Step-by-step explanation:
First, let's make a varible x. Let x be the "what number" part in the question.
Now, Let's convert the words into an equation.
We get:
60% * x = 47
Simplifing, we get:
0.6 * x = 47
0.6x = 47
x = 47 / 0.6
x = 47 / [tex]\frac{6}{10}[/tex]
x = 47 / [tex]\frac{3}{5}[/tex]
x = 47 * 5/3
x = 235/3
A student currently has $250 dollars in a savings account. He plans to save $35 per week until he has a total of $460 in his savings account. Which equation can be used to determine x, the total number of weeks it will take him to reach his goal?A student currently has $250 dollars in a savings account. He plans to save $35 per week until he has a total of $460 in his savings account. Which equation can be used to determine x, the total number of weeks it will take him to reach his goal?
Answer:
460=35x+250
Step-by-step explanation:
He starts off with 250, adding 35 each week, which is constant, represented by x
Answer:
460 = 250 + 35x
Step-by-step explanation:
First, let's review some given knowledge. We know how much money he currently has, $250, and how much he plans to save per week, $35. We can represent this as a linear function in the form y = mx + b. The rate of change, aka the slope, is represented by m and the initial amount, aka the y-intercept, is b.
So what do m and b equal? We already have that knowledge! Because b represents the starting amount, we need to find the starting value of the savings account. That amount is $250, and so b = 250.
As for m, that, once more, is the rate of change. Here, that's how much money is added to the savings account in a frame of time. In this case, y represents how much money is in the savings account and x is how many weeks the student has been saving money for. In other words, the amount of money in the savings account is dependent on how many weeks the student has been saving money for.
This is for two reasons: first, in a linear equation of the form y = mx + b, x is the independent variable and y is the dependent variable. The function represents the change in x; this is why y could also be written as f(x),"the function of x" — y is a function of x. Second, it's very rare to find a situation where time is the dependent variable; you can go forward in time, but you (presumably!) can't go backward, unless you happen to have a DeLorean or a TARDIS.
Why is this important? Slope is rise over run; this could also be described as the change in y over the change in x, or [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]. Here, the slope is the change in the amount of money in the savings account over the number of weeks the student has been saving money. That's also the rate of change.
So, how much money is the student saving per week? The problem tells us that amount: he's saving $35 per week.
Now that we have our values, we can write our function. It is y = 35x + 250, where y is the amount of money in the savings account, x is the number of weeks the student has been saving money, 35 is the amount of money saved per week, and 250 is the starting amount of money in the account.
Next, we need to solve for a specific value of x. Here, y is given to us; it's 460, because the student wants to have $460 in his savings account. By substituting 460 for y, we turn our function into an equation. Then, we can solve for x, the number of weeks the student needs to reach his goal of having $460 in his savings account when he started with $250 and is saving $35 per week.
This, once again, makes our function, y = 35x + 250, into 460 = 35x + 250. Now, if we wanted to, we could solve for x by reversing the operations done. If this were a function, it would mean we were finding the inverse. But since this is an equation, we'd just be solving for x, the number of weeks the student will save money for until he reaches his goal.
Phew! This is a long explanation, I know. But my goal here is to help you understand the concept so you don't need to ask questions like this in the future. Hopefully, this answer helps you to reach that level.
It's about 9:00 AM where I am as I finish writing my answer, so good morning and have an awesome day! Keep learning, keep growing, and never stop going! You've got this!
What is the simplified form of an improper fraction?
Answer:
You have to turn it into a mixed fraction.
Step-by-step explanation:
When you start out with the numerator being larger than the denominator.
Find the Highest Common Factor of the numerator. (I.E 10/8 - 1 2 4) and then divide by the HCF. the whole number part will be the same.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = 1x + 46
Step-by-step explanation:
Bob has $24 more than twice as much as Susie,
Together they have $150.
using the equations created in
Answer:
150
Step-by-step explanation:
To solve this problem, first start setting up the equation.
Start with bob first - this is the easiest. Let x = bob
To get the part for susie - he has $24 more than twice the amount of bob, so his part of the equation would be set up as: 2x + 24
Combine these parts:
x + (2x + 24)
Combined they have $150, so you would set the equation above equal to 150
x + (2x + 24) = 150
Combine like terms:
3x + 24 = 150
Solve the equation for x
3x + 24 = 150
- 24 -24
3x = 126 isolate x by itself on one side of the equation
divide both sides by 3 to get x by itself
3x = 126
3 3
x = 42
Now that you have solved for x, you know the amount that bob has... $42
With this information you can substitute 42 for x in the equation that was created for susie
2x + 24 would now by (2*42) + 24 which is $108
So, the amount that bob has is $42 and susie has $108
You can double check your work by adding $42 and $108 together to see if you get $150 (which you do)
Hope this helps!!!
If y varies inversely with x, and y = 20 when x = 5, then find the constant of variation (a).
this is the correct answer
5 less than a number is equivalent to 1 more than three times the number
The number is ??
Answer:
-3
Step-by-step explanation:
Let x equal the mystery number
Our equation will be:
x - 5 = 1 + 3x
Subtract x from both sides
-5 = 1 + 2x
Subtract 1 from both sides
-6 = 2x
Divide both sides by 2
-3 = x
3 gardeners can plant 18 trees in 30 minutes.
How many gardeners would it take to plant 45 trees in 45 minutes?
Answer:
5 gardeners
Step-by-step explanation:
1 gardener - 6 trees in 30 min
or 1 tree in 5 min so in one minute gardener can plant 1/5 tree
in 45 min 1 gardener can plant 9 trees
so you would need 5 gardeners to do 45 trees in 45 min
We have that the number of men needed to plant 45 trees in 45 minutes is
From the question we are told that
3 gardeners can plant 18 trees in 30 minutes.
plant 45 trees in 45 minutes?
Generally the equation for the One gardeners time of planting is mathematically given as
Since
3 gardeners can plant 18 trees in 30 minutes.
Therefore
[tex]X=\frac{18}{30}*\frac{1}{3}\\\\X=\frac{1}{5}trees/min[/tex]
Since
45 trees in 45 minutes
Therefore
1 tree for every min
Hence
Men need for 1 tree for every min is
[tex]1=x*\frac{1}{5}\\\\x=5[/tex]
Therefore
x=5men would plant 45 trees in 45 minutes
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The radius of the base to the right circular cone shown below is 5 inches, and the height of the cone is 7 inches. Solving which of the following equations gives the measure,θ, of the angle formed by a slant height of the cone and a radius?
Step-by-step explanation:
In right angled triangle
Tan = opposite side / adjacent side
Opposite side = 7 inches
Adjacent side = 5 inches
Tan = 7/5
Trigonometric function is the ratio of the different sides of the triangle. The correct value of Tanθ is 7/5.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
We know that the value of the perpendicular height of the cone is 7 inches while the measurement of the base of the triangle is 5 inches, therefore, using Pythagoras theorem the third side of the triangle can be written as,
[tex]\rm(Slant\ Height)^2 = 7^2 + 5^2\\\\(Slant\ Height)^2 =49+25\\\\(Slant\ Height)= 8.6[/tex]
Now, the value of the trigonometric ratios can be written as,
[tex]\rm Sin \theta=\dfrac{7}{8.6}\\\\\\Cos \theta=\dfrac{5}{8.6}\\\\\\Tan \theta=\dfrac{7}{5}\\\\\\Cosec \theta=\dfrac{8.6}{7}\\\\\\Sec \theta=\dfrac{8.6}{5}\\\\\\Cot \theta=\dfrac{5}{7}\\\\\\[/tex]
Hence, the correct value of Tanθ is 7/5.
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ASAP
-42÷3/7
Answer quickly and please show work
Answer:
-42÷3/7=-98
Step-by-step explanation:
Select the best answer for the question.
4. Multiply 3/4 * 16/9
A. 4/3
B.3/4
C. 64/27
D. 27/64
Answer:
A. 4/3
3/4 *16/9 =
(3*16)/ (4*9) =
48/36 =
12*4/12*3 =
4/3
If the value of "y" varies directly with "X"
and y = -51 when x = 3, find "y" if x = 2.
Enter the number
Answer:
x : 3 :: y : -1
9 : 3 :: y : -1
3y = -9
y = -3
Answer:
-34
Explanation:
Y varies directly as x then the equation relating them is
y= kx ⬅️k is the constant of variation
To find k use the condition y= -51 when x=3
k= -17
y= -17x⬅️equation of variation
when x=2, then
y= -17*2=-34
Express 4x^-4
with a positive exponent.
Answer:
4x^-4
4(x^-2)²
4x^4
Step-by-step explanation:
sorry I am not clear about question.
Complete the table:
Theta
0
90
Sine (theta)
?
1
a.
1
c.
2
b.
-1
d.
0
Answer:
Step-by-step explanation:
sin(0°) = 0
sin(90°) = 1
The values of sin0 and sin 90 are 0 and 1 respectively
Table and values of a functionGiven the following values of theta
Theta = 0 and 90 degrees
If theta = 0 dgrees
Sin (0) = 0
If theta = 90 degrees
Sin(90) = 1
Hence the values of sin0 and sin 90 are 0 and 1 respectively
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Help please someone need answer done soon
Answer:
below
Step-by-step explanation:
y=0,100
x= -250, 0
Hope this helped
Help with edge PLEASEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
yes sure why do you want help dear
A solution with a pH of 9 would be acidic. true or false
Evaluate the cumulative distribution function of a binomial random variable with n equals 3 and p equals 1 divided by 6 at specified points. Give exact answers in form of fraction. Upper F left-parenthesis 0 right-parenthesis equals Upper F left-parenthesis 1 right-parenthesis equals Upper F left-parenthesis 2 right-parenthesis equals Upper F left-parenthesis 3 right-parenthesis equals
Answer:
125/216
25/72
5 / 72
1 / 216
Step-by-step explanation:
n = 3
p = 1/6 = 0.1667
Using the relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
F(0) = 3C0 * (1/6)^0 * (1 - 1/6)^3
F(0) = 1 * 1 * (5/6)^3
F(0) = 1 * 125/216
F(0) = 125 / 216
F(1) = 3C1 * (1/6)^1 * (1 - 1/6)^2
F(1) = 3 * 1/6 * (5/6)^2
F(1) = 3 * 1 / 6 * 25/36
F(1) = 75 / 216
F(1) = 25 / 72
F(2) = 3C2 * (1/6)^2 * (1 - 1/6)^1
F(2) = 3 * 1 / 36 * (5/6)^1
F(2) = 3 * 1/36 * 5/6
F(2) = 15/216
F(2) = 5/72
F(3) = 3C3 * (1/6)^3 * (1 - 1/6)^0
F(3) = 1 * 1 /216 * (5/6)^0
F(3) = 1 * 1/216
F(3) = 1/216
7 1/2 divided by 3/4
Answer:
10
Step-by-step explanation:
List the answers and I will give brainliest AND all my points
Answer:
9) - 17
11) - 5
13) 30
15) 16
10) - 20
12) - 1
14) 30
16) - 21
1) 16
3) 21
5) - 22
7) - 19
2) 11
4) 7
6) - 9
8) - 6
Step-by-step explanation:
Sorrh I wrote this weirdly I was reading it downwards not sideways but hopefully this helps either way :))
Write a proportion that can be used to find the value of x. Do not solve.
x
18
32
Step-by-step explanation: ummnmm i think 18
The proportion of the value is is 18/a = a/16 , A proportion is an equation that sets two ratios at the same value.
What is proportion ?A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4)
If two ratios depict the same relationship, they are said to be proportionate. By writing two ratios as fractions and then reducing them, one can determine if they are proportionate. Your ratios are proportional if the reduced fractions are equal.
Given:
It is a similar triangle to the one in the example.
The hypotenuse measures 18 units in length.
The leg is a certain length.
The portion of the hypotenuse is 16 units long.
We must ascertain the ratio that was employed to calculate the value of a.
We will use the geometric mean leg rule to discover the ratio needed to calculate the value of a.
When using the "leg rule," we have;
hypotenuse/leg
leg/part
Substituting the values of hypotenuse, leg and part, we get;
18/a = a/16
Thus the proportion of the value is is 18/a = a/16
The complete question is :
Which proportion can you use to find the value of a?
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Which of the following is used to measure a vehicle's efficiency when it
comes to distance traveled with 1 gallon of gas?
A. Odometer
B. GPA
C. Fuel tank size
D. MPG
Answer:
Miles per gallon, or mpg
Step-by-step explanation:
x+gh? when x=-3, g = 4, h= -2
Evaluate
Answer:
x + gh = -11
Step-by-step explanation:
x + gh
= -3 + 4(-2)
= -3 + (-8)
= -11
Answer:
- 11
Step-by-step explanation:
= -3+4x-2
=-3+ (-8)
= -3-8
=-11
Find the missing angle.
68
45
79
75
What is the solution to the system of equations given below?
y = 7x + 14 y = 6x + 15
A. x = 29, y = 217
B. x = -1, y = 7
C. x = 1, y = 21
D. x = 21, y = 1
Given triangle ABC and A’B’C’, find the scale of factor and the center of dilation.
Please help me!
Answer:
1/4 I think, reduction?
Step-by-step explanation:
The polygons below are similar. Set up a proportion
and use it to solve for x.
18
18
15
35
15
Answer:
x = 42
Step-by-step explanation:
[tex]\frac{18}{15}[/tex] = [tex]\frac{x}{35}[/tex] ⇔ [tex]\frac{6}{5}[/tex] = [tex]\frac{x}{35}[/tex] ⇔ [tex]\frac{6*7}{5*7}[/tex] = [tex]\frac{x}{35}[/tex] ⇒ x = 42