Looking at the diagram, Each division is 90 degrees. We can see the 90 degrees symbol there. Therefore,
\(17x\text{ + 7 + 9x + 5 = 90}\)\(17x\text{ + 9x = 90 - 7 - 5}\)\(26x\text{ = 78}\)\(x\text{ = 78/26 = 3}\)Also, vertically opposite angles are equal.
Therefore,
\(y\text{ = 17x + 7}\)Substituting x = 3 into the above equation,
\(y\text{ = (17 }\times3)+7=58\text{ degrees}\)What is the percent of sugar in a syrup made of 10 kg of water and 15 kg of sugar?
Answer:
60
Step-by-step explanation:
So you would have to add the solutions together, 15+10=25. divide by 15.. 15/25 = 0.6. But in order to get a percent, you must multiply by base tens. 0.6x100 = 60%
Answer:
60%
Step-by-step explanation:
To find the percent sugar, take the amount sugar over the total.
15
----------
15+10
15/25 =.6
Change the decimal to percent form.
.6 * 100% = 60%
Determine the equation of the line passing through the point below having the corresponding slope.
Point: ( -20, -34)
Slope: m =9/5
Write your answer as an equation in the form y=mx+b
Answer:
Step-by-step explanation:
-34 = (9/5)(-20) + b
b = -34 + 36 = 2
y = (9/5)x + 2
27
Select the correct answer.
The parent function f(x)=√x is transformed to g(x) = -2f(x). Which is the graph of g?
The graph of g(x) will be a downward facing, steeper version of the square root function f(x).
What is a function ?
Function can be defined in which it relates an input to output.
The parent function f(x) = √x is a square root function that starts at the origin and increases slowly as x gets larger.
When we transform this function to g(x) = -2f(x), we are multiplying the output of f(x) by -2.
This means that the new function g(x) will be a reflection of f(x) about the x-axis, and its outputs will be twice as large (in magnitude) as the outputs of f(x).
Therefore, the graph of g(x) will be a downward facing, steeper version of the square root function f(x).
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what is the answer for this question? i really need it
Answer:
a = 3
b = -9
c = -3
d = 22
e = 49 - 9
f = a^2 -3
Step-by-step explanation:
Please no more questions :(
Fill in the missing value for the coordinate pair that lies on the graph of the function. y=52 (2,
The missing value for the coordinate pair that lies on the graph of the function. y=5^x (2, 25)
How to determine the missing values?The equation of the function is given as:
y = 5^x
And the x value is given as
x = 2
To determine the missing value, we start by substituting 2 for x in the function y = 5^x
So, we have:
y = 5^2
Evaluate the exponent
y = 25
So, the complete coordinate is (2, 25)
Hence, the missing value for the coordinate pair that lies on the graph of the function. y=5^x (2, 25)
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The rectangular floor of a classroom is 26 feet in length and 22 feet in width. A scale drawing of the floor has a length of 13 inches. What is the perimeter, in inches, of the floor in the scale drawing?
The perimeter of the rectangle in scale is 48 inches
Perimeter of RectanglePerimeter of Rectangle could be considered as one of the important formulae of the rectangle. It is the total distance covered by the rectangle around its outside.
The formula of perimeter of a rectangle is given as
P = 2(L + W)
P = perimeter of rectangleL = length of the rectangleW = width of the rectangleThe length of the floor is 26 feet and the width is 22 feet.
But on the scale, the length is equal to 13 inches, we can find the width of the rectangle by calculating the scale
Using the dimensions;
26 feet = 13 inches
22 feet = x
x = (22 * 13) / 26
x = 11 inches
The perimeter of the scale drawing will be
P = 2(L + W)
P = 2 (13 + 11)
P = 2 * 24
P = 48 inches
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Pls click on me I need help( I’m trying to show my mom I’m smart
Answer:
30
Step-by-step explanation:
30 because 15/20=30/40
A bag contains 8items of which two are deffective.A man selects 3 items
When a man selects 3 items, the probability that they're all defective will be 1/64.
How to calculate the probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
From the information, bag contains 8items of which two are deffective. The probability of a defective item is:
= 2/8
= 1/4
When a man selects 3 items, the probability that they're all defective will be:
= (1/4)³
= 1 / 64
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Complete question
A bag contains 8items of which two are deffective. A man selects 3 items, what is the probability that they're all defective?
the isosceles trapezoid ABCDE is part of an isosceles triangle ACE. What is true about isosceles triangles?
The measure of the vertex angle of ΔACE is: D. 50°.
The two side lengths of all isosceles triangles are the same and the angles facing these side lengths are congruent.
What is an isosceles triangle?In Mathematics and Geometry, an isosceles triangle simply refers to a type of triangle with two (2) sides that are equal in length and two (2) equal angles.
Since the isosceles trapezoid ABCDE belongs to isosceles triangle ACE, we can reasonably infer and logically deduce that the measure of angle BDE (∠BDE) is equal to 115 degrees.
∠BDE + ∠BDC = 180° (sum of angles on a straight line).
115° + ∠BDC = 180°
∠BDC = 180° - 115°
∠BDC = 65°
Based on isosceles triangle ACE, we can logically deduce the following congruent angles;
∠BDC ≅ ∠CBD = 65°
Now, we can determine the measure of the vertex angle of ΔACE:
∠BDC + ∠CBD + ∠ACE = 180°
∠ACE = 180° - (∠BDC + ∠CBD)°
∠ACE = 180° - (65 + 65)°
∠ACE = 180° - 130°
∠ACE = 50°.
In conclusion, the two side lengths of all isosceles triangles are typically the same (equal) and the angles facing these side lengths are congruent.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Please look at the picture and answer the question thank you
Answer:
-2x^2+5y^3+
Step-by-step explanation:
Which number does not belong with the other three? Please explain
The number that does not belong with the other three is D. 10 x 9.2 ⁻¹³
Why is the number different from the others ?With the first three numbers, the base of the exponential that is being multiplied by the first number is 10. These numbers are:
2 . 8 x 10 ¹⁵4. 3 x 10 ⁻³⁰1. 05 x 10 ²⁸With the last number however, we see that the base of the exponential is 9. 2 and not 10 like the others. This is why 10 x 9 . 2 ⁻¹³ does not belong with the rest.
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3. Given: If x= 2, then 3x - 5 10
Prove this statement is true by contradiction
If x = 2, then 3x - 5 =10, take this statement as true and solve for x.
Answer:
i dont know what contradiction is (im not american)
Step-by-step explanation:
sooo imma solve the second one
3x-5=10
3x=10+5
3x=15
divide everything by 3
x=5
Eliana loves music, especially 80's punk rock. Eliana looked at the number of songs in her itunes account and she has 6 less than 4 times her best friend. Eliana's classmate David has 3 more than double her best friend. When talking to her Social Studies teacher, Eliana found out social study teacher has 7 more than two times the number of songs in his library than Eliana. Define a variable, then write and solve an equation. If the total number of songs is 382, how many songs does Eliana, her best friend, David and her social study teacher have?
Answer
Step by step explantion:
bsf= 26
Eliana:98
SS teacher=203
David=55
Step-by-step explanation:
m= music
bsf: m
eliana:4m-6
David:2m+3
SS teacher: 2(4m-6)+7
m+4m-6+2m+3+8m-12+7
382=15m-7
7+ +7
389=15m
/15m /15m
m=26
multiply 26 to each one of them
ASAP determine whether the polygons are similar
Answer:
Not similar
Step-by-step explanation:
For two triangles to be similar , their sides should be in the same ratio. Here the sides are ,
First ∆ = 5 , 5 & 3 Second ∆ = 6 , 6 & 4Ratio of first sides :-
= 6/5 = 1.2
Ratio of second sides :-
= 6/5 = 1.2
Ratio of third sides :-
= 4/3 = 1.33
Since the ratio of all three sides are not same , Hence the two triangles are not similar.
Hence the two triangles are not similar .By which rule are these triangles congruent?
A) AAS
B) ASA
O SAS
D) SSS
Answer:
d. sss
Step-by-step explanation:
Answer:
the correct answer is AAS
A card is drawn at random from a standard 52-card deck. Find the probability that the card is an ace or not a club.
Answer:
0.7692077
Step-by-step explanation:
Number of cards in a standard deck = 52
Number of aces in a standard deck = 4
Number of clubs in a standard deck = 13
Probability = required outcome / Total possible outcomes
P(ace) = 4 / 52 = 0.0769
P(club) = 13 / 52 = 1/4 = 0.25
P(not club) = 1 - p(club) = 1 - 0.25 = 0.75
P(ace and not club) = 3/52 = 0.0576923
P(ace or not club) = p(ace) + p(not club) - p(ace and not club
= 0.0769 + 0.75 - 0.0576923
= 0.7692077
sin^4x rewrite the power as a product of two squared terms
sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)
How to rewrite the expression?The sine expression is given as
sin^4x
The above means
sin x raised to the power of 4
This in other words, the expression is represented as
(sin(x))^4
Express 4 as 2 + 2
(sin(x))^(2 + 2)
Apply the law of indices
(sin(x))^2 * (sin(x))^2
This gives
sin^2(x) * sin^2(x)
Hence, sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)
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When the scale factor is 1, what is the ratio of the side length of the side opposite ∠A and the length of the hypotenuse?
when the scale factor is 1, we have:
(side length of side opposite ∠A) / (length of hypotenuse) = sin A
When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.
The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.
In mathematical terms, when the scale factor is 1, we have:
(side length of side opposite ∠A) / (length of hypotenuse) = sin A
It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.
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solve the equation secx=2 on interval[0,2pie)
The threes solutions to the given equation sec²x - secx = 2 are:
\(x_1=\frac{\pi}{3} ; \quad x_2=\frac{5 \pi}{3} ; \ x_3=\pi\)What exactly are equations?An equation is a statement composed of two expressions joined by an equal sign. An equation is 3x - 5 = 16. By solving this equation, we obtain the value of the variable x as x = 7.To solve: sec²x - secx = 2 on interval [0,2\(\pi\))
When we set t = sec x, we get the quadratic equation:
\(t^2-t-2=0\)Which has the solutions: \(t_1=2 ; \quad t_2=-1\)As a result, we must seek solutions to the equations:
\([1] \sec x=2: \quad \cos x=\frac{1}{2} \rightarrow x_1=\frac{\pi}{3} ; \quad x_2=\frac{5 \pi}{3} ;$\\\text { [2] } \sec x=-1: \quad \cos x=-1 \rightarrow x_3=\pi ;\)
Therefore, the three solutions are:
\(x_1=\frac{\pi}{3} ; \quad x_2=\frac{5 \pi}{3} ; \ x_3=\pi\)Know more about equations here:
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The correct question is given below:
solve the equation sec²x - secx = 2 on interval [0,2\(\pi\))
I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
solve this equation
3/5x-2=2/3x-1
The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.
What is the solution to the given equation?Given the equation in the question;
3 / 5x-2 = 2 / 3x-1
To solve for x, cross multiply the equation
3 / 5x-2 = 2 / 3x-1
3( 3x - 1 ) = 2( 5x - 2 )
Apply distributive property
3( 3x - 1 ) = 2( 5x - 2 )
3×3x + 3×-1 = 2×5x + 2×-2
9x - 3 = 10x - 4
Subtract 10x from both sides
9x - 10x - 3 = 10x - 10x - 4
9x - 10x - 3 = - 4
Add 3 to both sides
9x - 10x - 3 + 3 = - 4 + 3
9x - 10x = - 4 + 3
-x = -1
Divide both sides by -1
-x/-1 = -1/-1
x = 1
Therefore, the value of x is 1.
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Please answer this question now in two minutes
Answer:
the slope equation is y2 - y1 divided by x2 - x1
Step-by-step explanation:
so the answer would be 3 over 2 because of this method
Answer:
3/2
Step-by-step explanation:
Use the easy rise over run method.
start at the point (50,20) then go up 3 units and 2 units to the right to get the next point.
3/2 should be the slope.
Hope I helped you!
calculate the molar solubility of cui (ksp= 1.27×10−12).
CuI's molar solubility is determined to be 1.27 x 10⁻¹².
The quantity of ions dissolved per litre of solution is measured by molar solubility. The quantity of ions that are dissolved in this situation's amount of solvent is represented as solubility.
Think about the equation.
Cu+(aq) CuI.(s) + I- (aq)
Let's assume that CuI (s) has a molar solubility of "S" mol/L.
Thus,
Product of solubility = [Cu+(aq)] + [ I-(aq)] → [Cu+(aq)] Ksp
[ I-(aq)] ———(1)
We are aware of
For CuI, the solubility product Ksp is 1.27 x 10⁻¹².
Consequently, from equation (1)
1.27 × 10⁻¹² = S.S
S² =1.27 × 10⁻¹²
= (1.27 × 10⁻¹² )½ = 1.127 x 10⁻⁶ M
Therefore, CuI has a molar solubility of 1.127 x 10-6 M.
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Answer the questions below.
(a) Daily high temperature
The daily high temperature does not depend on the number of ticket sales.(b) Amount of sleep
The amount of medication influences the amount of sleep.(c) Input U
The independent variable is the input.Please help I’m super bad
find the cost of 25.06kg of meat, if the price is 2.05 per kilogram
Answer:
Solution :-Cost of 1 kg of meat = $2.05 kg
Cost of 25.06 kg of meat = $2.05 × 25.06
\( \huge \tt \pink{51.373}\)
Answer:
51.373
convert into two decimal place
what is the value of m
The measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°
What is angle subtended by an arcThe angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.
arc RS = 2(m∠RQS)
Also arc AD = 140°
2(m∠RQS) = 140°
m∠RQS = 140°/2 {divide through by 2}
m∠RQS = 70°
Therefore, the measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°
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Sarah has been an exemplary employee! The library has given her a 5% raise in recognition of
her hard work. If Sarah normally has a net salary of $212.50, what will Jessica’s net salary be now?
Remember, you calculated that 15% of Sarahs gross salary is withheld each week.
The correct value of Jessica's new net salary will be $225.
To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.
Let's denote Sarah's gross salary as "G." We can set up the following equation:
G - 15% of G = $212.50
Simplifying the equation, we have:
G - 0.15G = $212.50
0.85G = $212.50
G = $212.50 / 0.85
G ≈ $250
Sarah's gross salary is approximately $250.
Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:
Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary
Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250
Jessica's net salary = $250 + $12.50 - $37.50
Jessica's net salary = $225
Therefore, Jessica's new net salary will be $225.
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A model of a house is 6 inch wide and 8 inches long. If the actual house is 20 yards long, how wide is the actual house?
A) 2.4 yd
B) 4.8 yd
C) 15 yd
D) 26 yd
We can create a ratio of length to width. The length of the model is 8, while the width is 6. This is a 4:3 ratio of length to width. We can input this into the actual length, 4(5):3(5) = 20:15. Therefore, the actual width is 15 yd
Need help with a math problem If doing 5 stars and a good rating
Answer:
16:1
Step-by-step explanation:
Since there are 85 total people and 80 are students that means 5 are chaperones.(85-5) Therefore the ratio of students to chaperones is 80:5 or simplified 16:1.