Answers
Answer: 41 degrees
Step-by-step explanation:
so, we know that a triangle is 180 degrees. since we know that one angle is 80 degrees, we can subtract that from the equation. now, we are trying to find what X is so that we can find the angle. here is how i did it:
i rewrote it and removed the parentheses.
4x + 1 + 4x + 19 = 100
then, i collected like terms and calculated it.
8x + 20 = 100
then, i moved the constant to the right.
8x = 100 - 20
then, i simply calculated it.
8x = 10
solution: x = 10
so, we just insert X into the angle for A. that gets us 4(10) + 1 = angle A
40 + 1 = angle A, hence angle A = 41 degrees.
Related Questions
can i plz get help wit 5(6x-10y+7)
5(6x−10y+7)
Answers
Answer:
5(6x -10y +7) (use the distributive property)
30x -50y +35 (simplest form)
Step-by-step explanation:
Given f(x)= 10-2x, find f(7).
o -4
O 3
o 7
O 56
Answers
The value of f(7) is -4 for the function f(x) = 10-2x. option A is correct.-
The given function is f(x)=10-2x.
In the equation, the x represents the variable.
We have to find the value of f(7).
To find the value of f(7), we need to replace x as the value 7.
Plug in x as 7 in the function:
f(7)=10-2(7)
Solve the above equation:
f(7)=10-14
When 14 is subtracted from 10, we get -4.
f(7)=-4
Hence, the value of f(7) is -4 for the function f(x)= 10-2x.
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PLEASE HELP
9 increased by the product of 4 and v
Answers
Answer:
4v + 9 or 9 + 4v
Step-by-step explanation:
increased means plus
the product of is multiplication
im too tired to explain annything else
gn bro
Two bottle rockets are simultaneously launched on parallel paths, from 5 feet apart on level ground. After 0.1 second, the rockets are at the same height.
Which theorem or definition can you use to show that the rockets are still 5 feet apart 0.1 second after launch?
Help asap please it's due today :)
Answers
Answer:
The definition of parallel lines are lines that have a constant minimum distance between them at any given point along the lines, such that the lines are the same distance apart all through
Therefore, given that we have;
1) The path of the two bottle rockets are parallel,
2) The initial distance between the two rocket on level ground = 5 feet = The perpendicular (shortest) distance between the two rockets
3) The shortest distance between the rockets having the same height moving on parallel path will be constant = 5 feet
4) The height of the two rockets after 0.1 second = Constant = 5 feet
5) Therefore, by the definition of parallel lines, distance between the two rockets which are at the same height after 0.1 second will still be 5 feet
Step-by-step explanation:
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x? On a coordinate plane, a circle is centered around (0, 0).
Answers
Answer:
Where are the statements to choose from??
Answer:
The graph is a function of x because the line y = 5 does not intersect the graph
Step-by-step explanation:
2x + 6 = 10 is an example of
A) Algebraic Inequality
B) Algebraic Expression
C) Verbal Expression
D) Algebraic Equation
Answers
2x + 6 = 10 is an example of Algebraic Equation
Answer:
D is the answer for the question
Pllzzzz help it’s an exam !!!! A side of the triangle below has been extended to form an exterior angle of 125 . Find the value of x
Answers
Answer:
i think it is 105
Step-by-step explanation:
180-125=55
180-(55+25)=105
*second 180 is triangle's total interior angle
It is given that the lengths of two sides of a triangle are both 7 and the length of the remaining side is an integer. Find the maximum possible and the minimum possible perimeters of the triangle.
Answers
Answer:
Have you tried |-7|?
Step-by-step explanation:
please please hurry ! What is the length of side X?
Answers
Answer:
its eleven
Step-by-step explanation:
it just is....
Answer:
11
Step-by-step explanation:
They are proportional, so since side RS is 3 and MN is 6, we know that Triangle MNO is twice that size, so all of the side lengths will be twice that size. So ST being 5.5 means that the same side in Triangle MNO will be twice that amount, and 5.5 * 2 = 11.
Each interior angle of a regular polygon with 20 sides is 2° more than each interior angle of a regular polygon with n sides. Calculate the value of n. Help me please hurry any math genius:(
Answers
Answer:
400
Step-by step explanation:
The sides of the regular polygon is 20 and more than 2 so you divide the two number up to get 10 and then also you multiply all of them up together which is 400
If f(x)= x+4/x, g(x) = x-2, and h(x)= 4x-1, what is (fohog)
Answers
Answer:The answer is d (fohog)= 4x-5/4x-9
Step-by-step explanation:
The mean score on a physics test was 75 points. Amy’s score was 67 points, which was 2 standard deviations below the mean. What is the variance of the data set?
Answers
Answer:
D.16
Step-by-step explanation:
took the Unit test 100%
Answer:
D
Step-by-step explanation:
How many terms are in this expression ?-3x + 7y - 6 *
Answers
Answer:
3 terms in the expression
Integrate the following:
[tex]\displaystyle \int \frac{x^2}{x^2+x+3}\, dx[/tex]
Answers
Answer:
[tex]\int {\frac{x^2}{x^2+x+3} } \, dx = - \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} ) - \frac{1}{2}ln|x^2+x+3| +x + C[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Completing the SquareRearranging VariablesAlgebra II
Long DivisionCalculus
U-Substitution[Integration Trick 1] Numerator Split[Integration Trick 2] Completing the SquareIntegration Rule 1: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Integration Rule 2: [tex]\int {f(x)+g(x)} \, dx =\int {f(x)} \, dx + \int {g(x)} \, dx[/tex]Integration 1: [tex]\int {\frac{1}{u} } \, du =ln|u| + C[/tex]Integration 2: [tex]\int {\frac{du}{u^2+a^2} } = \frac{1}{a} arctan(\frac{u}{a} )+C[/tex]Integration 3: [tex]\int {x^n} \, dx = \frac{x^{n+1}}{n+1} +C[/tex]Step-by-step explanation:
Step 1: Define
[tex]\int {\frac{x^2}{x^2+x+3} } \, dx[/tex]
Step 2: Simplify Function
We do long division to simplify the function inside the function.
See Attachment for Long Division Work.
Once we do long division, our function becomes [tex]1-\frac{x+3}{x^2+x+3}[/tex]
Now we rewrite our Integral: [tex]\int ({1-\frac{x+3}{x^2+x+3} }) \, dx[/tex]
Step 3: Integrate Pt. 1
Distributive Integral [Int Rule 1]: [tex]\int {1} \, dx - \int {\frac{x+3}{x^2+x+3} } \, dx[/tex]Integrate 1st Integral [Int 3]: [tex]x - \int {\frac{x+3}{x^2+x+3} } \, dx[/tex]Step 4: Identify Variables Pt.1
Set variables for u-substitution.
u = x² + x + 3
du = (2x + 1)dx
Step 5: Integrate Pt. 2
Rewrite Integral [Int Rule 1]: [tex]x - \frac{1}{2} \int {\frac{2(x+3)}{x^2+x+3} } \, dx[/tex]Distribute 2 [Alg]: [tex]x - \frac{1}{2} \int {\frac{2x+6}{x^2+x+3} } \, dx[/tex]Rewrite Integral [Alg]: [tex]x - \frac{1}{2} \int {\frac{2x+1+5}{x^2+x+3} } \, dx[/tex]Rewrite Integral [Int Trick 1]: [tex]x - \frac{1}{2} [\int {\frac{2x+1}{x^2+x+3} } \, dx + \int {\frac{5}{x^2+x+3} } \, dx ][/tex](2nd Int) Complete the Square: [tex]x - \frac{1}{2} [\int {\frac{2x+1}{x^2+x+3} } \, dx + \int {\frac{5}{(x+\frac{1}{2})^2 + \frac{11}{4} } } \, dx ][/tex]Step 6: Identify Variables Pt. 2
Set variables for u-substitution for 2nd integral.
z = x + 1/2
dz = dx
a = √(11/4)
Step 7: Integrate Pt. 3
[Integrate] U-Substitution: [tex]x - \frac{1}{2} [\int {\frac{1}{u} } \, du + \int {\frac{5}{z^2 + (\sqrt{\frac{11}{4}})^2} } \, dz ][/tex]Rewrite Integral [Int Rule 1]: [tex]x - \frac{1}{2} [\int {\frac{1}{u} } \, du + 5\int {\frac{dz}{z^2 + (\sqrt{\frac{11}{4}})^2} } ][/tex]Integrate 1st Integral [Int 1]: [tex]x - \frac{1}{2} [ln|u| + 5\int {\frac{dz}{z^2 + (\sqrt{\frac{11}{4}})^2} } ][/tex]Integrate 2nd Integral [Int 2]: [tex]x - \frac{1}{2} [ln|u| + 5(\frac{1}{\sqrt{\frac{11}{4}}}arctan(\frac{z}{\sqrt{\frac{11}{4} } } ) ) ][/tex]Distribute 5 [Alg]: [tex]x - \frac{1}{2} [ln|u| + \frac{5}{\sqrt{\frac{11}{4}}}arctan(\frac{z}{\sqrt{\frac{11}{4} } } ) ][/tex]Distribute -1/2 [Alg]: [tex]x - \frac{1}{2}ln|u| - \frac{5}{2\sqrt{\frac{11}{4}}}arctan(\frac{z}{\sqrt{\frac{11}{4} } } )[/tex]Rationalize [Alg]: [tex]x - \frac{1}{2}ln|u| - \frac{5\sqrt{11} }{11}arctan(\frac{z}{\sqrt{\frac{11}{4} } } )[/tex]Resubstitute variables [Alg]: [tex]x - \frac{1}{2}ln|x^2+x+3| - \frac{5\sqrt{11} }{11}arctan(\frac{x+\frac{1}{2} }{\sqrt{\frac{11}{4} } } )[/tex]Simplify/Rationalize [Alg]: [tex]x - \frac{1}{2}ln|x^2+x+3| - \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} )[/tex]Rewrite [Alg]: [tex]- \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} ) - \frac{1}{2}ln|x^2+x+3| +x[/tex]Integration Constant: [tex]- \frac{5\sqrt{11} }{11}arctan(\frac{\sqrt{11}(2x+1) }{11} ) - \frac{1}{2}ln|x^2+x+3| +x + C[/tex]And we have our final answer! Hope this helped you on your Calculus Journey!
hope this will help you........
can someone help me please???
what is BC?
Answers
Answer:
3.5
Step-by-step explanation:
There were 640 gallons of water in a 1,600-gallon pool. Water is being pumped into the pool at a rate of 320 gallons per hour.
If t stands for hours and the pool is being filled using the equation: 1600=320t+640, how many hours will it take to fill the pool?
Answers
Answer:
4
Step-by-step explanation:
do 320 +320 untill you get to 1,600
HELPPP THIS IS TIMEDD I NEED A STEO BY STEPP
Answers
Answer:
Why do you need a step by step
Step-by-step explanation:
George places $5,000 into an account that earns a simple interest of 4.3%. John places $5,500 into an account that earns 4%. Who has earned the most interest at the end of 6 years?
Answers
Answer/Step-by-step explanation:
George:
4.3% ÷ 100 = 0.043
0.043 × 5000 = 215
John:
4% ÷ 100 = 0.04
0.04 × 5500 = 220
End of 6 years:
George: 215 × 6 = 1290
John: 220 × 6 = 1320
John has earned the most interest at the end of 6yrs. $1320
Help. Examine the figure below. Determine which of the following angle measures are correct PICK up 2 answers
Answers
Answer:
RPQ = 30 and QRP = 75
Step-by-step explanation:
First we need to find "x".
Since we know that all the angles of a triangle must equal 180 and we know that angles PQR and QRP are the same (Due to the fact that two of the lengths of the triangle are the same) we can set up an equation.
x + (2x + 15) + (2x + 15) = 180
1. we can drop the parentheses (when there is a + in front of an expression in parentheses, the expression remains the same)
x + 2x + 15 + 2x + 15 = 180
2. We can collect the like terms to simplify the equation. (x and 2x and 2x combine to equal 5x) (Remember that there is a hidden 1 behind an "x" without a number next to it)
(the two 15's add together to make 30)
This leaves us with this equation
5x + 30 = 180
3. Now we suptract the constant from 180 (The constant is 30)
5x = 180 - 30
5x = 150
4. Now we devide both sides by 5
x = 30
Next we can find all of the angles
PRQ = (2x + 15)
1. PRQ = (2(30) + 15)
2. PRQ = (60 + 15)
3. PRQ = 75
RQP = (2x + 15)
1. RQP = (2(30) + 15)
2. RQP = (60 + 15)
3. RQP = 75
RPQ = x
RPQ = 30
what’s the answer to this question ?????????????
Answers
Answer is is 2 .........
What is the equation of a line that its parallel to -3x+4y=4 and passes through the point (4,0)?
Enter your answer in the box.
Answers
Answer:
y=3/4x-3
Step-by-step explanation:
Okay so to be parallel to an equation of another line, the line must have the same slope but a different y-intercept. First, you need to find the slope of the equation -3x+4y=4. The equation must be in y=mx+b format, so you first move -3x to the right by adding it on both sides, leaving you with 4y=3x+4. Next, you divide 4y by 4 in order to isolate y and do that on the other side. Now, you have y=3/4x+1.
To find the equation of the new line, you must put the point and slope into point slope form: y-y1=m(x-x1). In the point (4, 0), 4 would be x1 and 0 would be y1. so, the new equation is y-0=3/4 (x-4). now, distrubute the 3/4, leaving you with y=3/4x-3. This is correct since the slope remains the same in both equations with a different y-intercept. To check deeper, you could place point (4, 0) on a graph and then rise 3, run 4 until you get the line :) hope this helps
Select the correct answer. What is[tex]\sqrt{192}[/tex] in simplest form? A.32√3 B.3√8 C.8√3 D. 2√48
Answers
Answer:
C. 8√3
Step-by-step explanation:
Please mark me as brainlest!
Thanks!
48√2 in the simplest form of the expression √192.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can simplify the √192 by factoring it into its prime factors:
192 = 2 × 2 × 2 × 2 × 2 × 3 × 3
Then, we can group the prime factors into pairs of two:
192 = (2 × 2) × (2 × 2) × (2 × 3) × 3
Simplifying each pair of factors under the square root gives:
[tex]\sqrt{192} = \sqrt{(2\times2)}\sqrt{(2\times2)}\sqrt{(2\times3)}\sqrt{3}\\= 4\times4\times\sqrt{6}\sqrt{3} \\= 16\sqrt{6}\sqrt{3}[/tex]
Finally, we can simplify the expression by multiplying the coefficients and combining the square roots:
[tex]16\sqrt{6}\sqrt{3} \\= 16\sqrt{18} = 16\sqrt{2\times3\times3} \\= 16\times3\sqrt{2} \\= 48\sqrt{2}[/tex]
Therefore,
48√2 in the simplest form of the expression √192.
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Two complementary angles have a difference of 22 degrees. What are the two angles?
plz its due in 20 min
Answers
Answer:
If two angles sum is equal to 90° and makes right angle called = complementary angle...☺️✌️
Above sum solution....
one angle =x
other angle =y
According to question
x+y= 90°......(1)
x-y=22°......(2)
from one and two ....by eliminating method...
2y=68
y=68/2
y=34
put y in equation 1
x+y=90°
x+34=90°
x=90°-34
x= 56...
To verify add both
sum = 90°
Hence ..verified...
Step-by-step explanation:
hope its helps u...☺️✌️✌️
Answer:
13 degrees
Step-by-step explanation:
WILL MARK BRANLIEST IF RIGHT
Answers
Answer:
its 3 and 4
Step-by-step explanation:
Answer:
2 and 3
Step-by-step explanation:
You are standing at the edge of a cliff. You look down with an angle of depression of 20 degrees and see a a dog at the bottom that is 130 feet away from where you're standing. What is the height of the cliff? Round your answer to the nearest tenth, and round only once.
Answers
Answer:
47.3feet
Step-by-step explanation:
The set up will give a right angled triangle.
The distance of the dog away from the cliff = 130 feet = adjacent side
Angle of depression = 20°
Height of the cliff = Opposite = x
Using the SOH, CAH, TOA trigonometry identity;
According to TOA;
tan theta = opposite/adjacent
tan 20 = x/130
Cross multiply;
x = 130tan20
x = 130(0.3639)
x = 47.3 feet
Hence the height of the cliff to the nearest tenth is 47.3feet
Please help due IN MY CLASS TODAY
Answers
Answer:
A. 3,4. E. Origin or 0,0 D. 6,-3
C. -2,-4 B. -3, 2
Step-by-step explanation:
Just go from x to y and I did this last year :p
PLEASEEEEE HELPPPPP THIS IS ALGEBRA 1
Raise m to the 5th power, then multiply 8 by the result
Answers
Answer:
8m⁵
Step-by-step explanation:
m to the 5th power = m × m × m × m × m
= m⁵
Then multiplied by 8 = 8 × m⁵
= 8m⁵
Therefore, m to the 5th power multiplied by 8 will be represented by 8m⁵.
3 times the sum of 4 and 9:
I’m confused can anybody help me I forgot how to do it?
Answers
Answer:
39
Step-by-step explanation:
4 + 9 = 13
13 × 3 = 39
if you need more help let me know
Answer:
39 sorry if im worng
Step-by-step explanation:
3*(4+9)
2. Are these two ratios equivalent? 8/5, 24/20
Answers
Answer: No
Step-by-step explanation:
I took a test and this answer was correct.
What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?
Answers
Answer:
22meter per second
Step-by-step explanation:
374/17=22
Answer:
Could I have branliest please and heart answer is below <>
Step-by-step explanation:
22
374meters. 17
(/). divided by (/)
17seconds 17
Equals 22 meters per second