Answers
Answer:
18 is your answer
the tickmarks on the vertices of B and C mean that those angles are twins, which means that the sides AB = AC, which means is an isosceles triangle.
now if AB = AC, then
[tex]\bf 8x-4=5x+11\implies 3x=15\implies x=\cfrac{15}{3}\implies \boxed{x=5} \\\\\\ BC\implies 4x-2\implies 4(5)-2\implies 18[/tex]
Related Questions
sarosh receives 8% commission on the final price of the clothing he sells . a customer bought a $45.00 coat the was marked 20% off and a $95.00 suit that was marked 30% off what would sarosh's commission be on that customers purchase?
Answers
Answer:
$8.2
Step-by-step explanation:
The final price of the coat = $45 -0.2 * $45 = $36
The final price of the suit = $95 − 0.3 * $95 = $66.5
sarosh's commission = 0.08 * ( $36 + $66 ) = $8.2
Problem 2: Toshi estimates that she needs 2 minutes to read one page. How many minutes longer did she spend reading the 304-page book than Kira-Kira? Explain how you found your answer.
Answers
what is the simplest form of the expression below?
Answers
Let us simplify each Expression Separately :
✿ [tex]\mathsf{(\frac{cot\theta.cos\theta}{sin\theta}).tan\theta}[/tex]
[tex]\mathsf{\implies (\frac{cot\theta.tan\theta.cos\theta}{sin\theta})}[/tex]
[tex]\mathsf{We\;know\;that : tan\theta.cot\theta = 1}[/tex]
[tex]\mathsf{\implies (\frac{cos\theta}{sin\theta})}[/tex]
[tex]\mathsf{We\;know\;that : cot\theta = \frac{cos\theta}{sin\theta} }[/tex]
[tex]\mathsf{\implies (\frac{cot\theta.cos\theta}{sin\theta}).tan\theta = cot\theta }[/tex]
✿ [tex]\mathsf{(\frac{sin\theta}{cos\theta.tan\theta})}[/tex]
[tex]\implies \mathsf{(\frac{\frac{sin\theta}{cos\theta}}{tan\theta})}[/tex]
[tex]\mathsf{We\;know\;that : tan\theta = \frac{sin\theta}{cos\theta} }[/tex]
[tex]\implies \mathsf{(\frac{tan\theta}{tan\theta})}[/tex]
[tex]\implies \mathsf{1}[/tex]
[tex]\mathsf{\implies (\frac{sin\theta}{cos\theta.tan\theta}) = 1}[/tex]
[tex]\mathsf{The\;Simplest\;form\;of\;the\;Given\;Expression\;is : cot\theta}[/tex]
The simplifying form of expression by using the trigonometry formula is,
⇒ [tex]\frac{cot (\theta) cos (\theta) }{sin (\theta) } \times tan(\theta) \div \frac{sin (\theta)}{cos(\theta)tan(\theta)}[/tex] = cot θ
The used formula is,
[tex]\frac{sin \theta }{cos \theta } = tan \theta[/tex]
And, [tex]\frac{cos \theta }{sin \theta } = cot \theta[/tex]
Given that,
The expression is,
[tex]\frac{cot (\theta) cos (\theta) }{sin (\theta) } \times tan(\theta) \div \frac{sin (\theta)}{cos(\theta)tan(\theta)}[/tex]
Now, by using the trigonometry formula, simplify the expression as,
⇒ [tex]\frac{cot (\theta) cos (\theta) }{sin (\theta) } \times tan(\theta) \div \frac{sin (\theta)}{cos(\theta)tan(\theta)}[/tex]
Substitute [tex]\frac{sin \theta }{cos \theta } = tan \theta[/tex] And, [tex]\frac{cos \theta }{sin \theta } = cot \theta[/tex],
⇒ [tex]\frac{cot(\theta)}{tan\theta} \times tan\theta \div \frac{tan\theta}{tan\theta}[/tex]
⇒ [tex]cot \theta \div 1[/tex]
Therefore, the solution of expression is,
⇒ cot θ
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Solve using elimination
2x+2y=8
3x+2y=12
Answers
[tex]\left\{\begin{array}{ccc}2x+2y=8\\3x+2y=12&\text{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+2y=8\\-3x-2y=-12\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-x=-4\to\boxed{x=4}\\\\\text{Put the value of x to the first equation:}\\\\2(4)+2y=8\\8+2y=8\qquad\text{subtract 8 from both sides}\\2y=0\qquad\text{divide both sides by 2}\\\boxed{y=0}\\\\Answer:\ \boxed{x=4\ and\ y=0\to(4,\ 0)}[/tex]
What value of $k$ will make $4x^2 - 20x + k$ the square of a binomial?
Answers
Answer:
k = 25
Step-by-step explanation:
(2x - sqrt(k) )^2 Expand this as a binomial
4x^2 - 4x*sqrt(k) + k The middle term must be -20x Solve for k so it is
-4xsqrt(k) = - 20x Divide by -4x
sqrt(k) = -20x/-4x Do the division
sqrt(k) = 5 Square both sides
k = 25
The ordered pairs model an exponential function, where p is the function name and t is the input variable.
{(1,80),(2,240),(3,720),(4,2160)}
What is the function equation in sequence notation?
HURRY!
Answers
[tex] p = 80({3})^{t - 1} [/tex]
It's a geometric sequence with common ratio 3. You can calculate the common ratio by dividing the 240 by 80 or likewise 720 by 240.
Hope it helps !
Answer:
what he said
Step-by-step explanation:
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
[tex]132 \div 6[/tex]
which gives u a price of 22 per gallon
Answer:
see explanation
Step-by-step explanation:
(1)
to calculate the slope m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 5) and (x₂, y₂ ) = (18, - 5)
m = [tex]\frac{-5+5}{18+2}[/tex] = [tex]\frac{0}{20}[/tex] = 0
(2)
divide number of miles travelled by number of gallons used
= [tex]\frac{132}{6}[/tex] = 22 miles per gallon
The variable y is directly proportional to the variable x. If y = 12 when x = 14, what is the value of x when y = 24? A) 26 B) 28 C) 30 D) 32
CORRECT ANSWERS ONLY, ILL MARK YOU THE BRAINLIEST!!!!!!!!!
Answers
Hi There!
Answer:
B) 28
Step-by-step explanation:
y = 12 and x = 14 are both proportional.
y = 24 and x = ? are both proportional.
You notice that 24 is twice as much as 12 so we do the same with x.
14 * 2 = 28
They are both proportional when y = 24 and x = 28.
Hope This Helps :)
Answer:
B) 28
Step-by-step explanation:
The equation for direct proportion is
y= kx
If y =12 and x =14
12 = k * 14
Divide each side by 14
12/14 = k
Simplifying
6/7 =k
y =6/7 x
Now if y =24
24 = 6/7 x
Multiply each side by 7/6 to isolate x
24 * 7/6 = 7/6 * 6/7 x
28 =x
plz help Pru, Piper, and Phoebe share spices in the ratio 5:3:4. If Pru has 24 more spices than Piper, how many spices does Phoebe have?
Answers
Answer:
Step-by-step explanation: Pru, Piper, Phoebe their ratio 5:3:4 added = 12
What this would mean is that Pru has 5/12 of the total amount, Piper has 3/12 of the total, and Phoebe has 4/12 of the total amount of spices all together.
pru = piper + 24
5/12x = 3/12x + 24
5/12x - 3/12x = 24
2/12x = 24
x = 24 / (1/6)
x = 24 * 6
x = 144 spices in all.
Pru has : 5/12(144) = 720/12 = 60 spices
Piper has : 3/12(144) = 432/12 = 36 spices
Phoebe has : 4/12(144) = 576/12 = 48 spices <====
Answer:
48 spices
Step-by-step explanation:
The number of spices each has is a multiple of 5, 3, and 4.
The number of spices each has is 5x, 3x, and 4x.
Pru has 5x spices.
Piper has 3x spices.
Pru has 24 more spices than Piper, so
5x = 3x + 24
2x = 24
x = 12
Phoebe has 4x spices, so Phoebe has
4(12) = 48
Find the simple interest and the total amount after three years. Principal =11,750= 11 =11,750 rupees Annual rate of interest 7.5%= Total interest == = rupees Total amount = = = rupeesFind the simple interest and the total amount after three years. Principal =11,750= 11{,}750 =11,750 rupees Annual rate of interest=7.5%=Total interest rupees Total amount rupees
Answers
The simple interest after three years is ₹2625 and the total amount is ₹14,375.
Explanation:To find the simple interest and total amount after three years, we can use the formula:
Simple Interest = Principal × Rate × Time
Total Amount = Principal + Simple Interest
Given that the Principal is ₹11,750 and the Annual Rate of Interest is 7.5%, we can calculate the Simple Interest by substituting these values into the formula:
Simple Interest = ₹11,750 × 0.075 × 3
After calculating, we find that the Simple Interest is ₹2625.
To find the Total Amount, we can use the formula:
Total Amount = Principal + Simple Interest
Substituting the values into the formula, we get:
Total Amount = ₹11,750 + ₹2625
After calculation, the Total Amount is ₹14,375.
2x2+5x-12 solve this equation
Answers
The expression 2x²+ 5x - 12 has infinite many solutions
How to detemrine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
2x²+ 5x - 12
The above is an expression and not an equation
This means that it has infinite many solutions
Hence, the expression 2x²+ 5x - 12 has infinite many solutions
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Consider the sequence 130, 143, 156, 169, ... Write an explicit formula to represent the arithmetic sequence and use it to find the 13th term.
Answers
Answer:
a(n) = 130 + (n-1) 13
13th term = 286
Step-by-step explanation:
We are given a sequence of numbers: 130, 143, 156, 169, ... and we are to write an explicit formula to represent the arithmetic sequence and use it to find the 13th term.
We know that the arithmetic sequence can be defined by:
[tex]a_n=d(n-1)+c[/tex]
where [tex]d[/tex] = the common difference between consecutive terms ; and
[tex]c[/tex]=[tex]a_1[/tex]
13th term:
[tex]a_{13}=130+(12)13 = 286[/tex]
Therefore, the formula for this sequence will be a(n) = 130 + (n-1) 13 and 13th term is 286.
I need help with this question please
Answers
Answer:
YES
Step-by-step explanation:
First, let's find the total number of seats int he airplane.
14 + 64 + 4 * 108 = 510
The airplane has a total or 510 seats.
Half of the number of seats is 510/2 = 255.
Now let's calculate the number of seats being used and compare with 255.
5/7 * 14 + 5/16 * 64 + 5/9 * 4 * 108 =
= 2 * 5 + 4 * 5 + 12 * 4 * 5
= 10 + 20 + 240
= 270
270 seats are being used.
270 is greater than 255, so more than half of the seats are being used.
Answer: YES
Which algebraic expression repesents the phrase? Cindy studied seven more hours than Nikki studied. a. n+7 b. 7-n c. 7n d. n/7
Answers
Answer:
Option a is the correct choice.
Step-by-step explanation:
Let n be number of hours studied by Nikki.
We are told that Cindy studied seven more hours than Nikki studied. This means that number of hours studied by Nikki plus 7 hours equals to the number of hours studied by Cindy.
We can represent this information in an expression as :
[tex]\text{The number of hours studied by Cindy}=n+7[/tex]
We can see from our given choices that expression given in option a represents the number of hours studied by Cindy in terms of hours studied by Nikki.
Therefore, option a is the correct choice.
Carrie buys 6.2 yards of blue fabric and 5.4 yards of red fabric.If the blue and red fabric costs the same amount per yard,and Carrie pays $58 for all of the fabrics ,what is the cost per yard ?
Answers
Answer:
5.00 a yard
Step-by-step explanation:
5.4 + 6.2 = 11.6
58.00 divided by 11.6 =
5
5.00 a yard
Answer:
$5 per yard
Step-by-step explanation:
Add 6.2 and 5.4
You get 11.6
Divide 11.6 by 58
The answer is 5
Which of these is a tax form that employers send to their employees?
A. W-2 form
B. 1040EZ form
C. Tax schedule form
Answers
Answer:
A. W-2 form
Step-by-step explanation:
What percent of 94 is 47
Answers
Answer:
50%
Step-by-step explanation:
47 is half of 94 which is the same thing as 50% of 94
Answer:
94% of 47 is just 47 x 0.94 ¯\_(ツ)_/¯
So 44.18
Please mark brainliest which would help alot.
Step-by-step explanation:
jim and Jon are painting a fence. Jon painted 1/4 of the fence. Jim painted 5/12 of the fence. how much of the fence did they paint in total?
Answers
Our first step is the find the lcm of 4 and 12 so we can add the two fractions without having a problem.
The lcm of 4 and 12 is clearly 12 because 12 is a multiple of 4. 12 divided by 4 is 3, so you must multiply by 3/3 to be able to add the two fractions.
1/4*(3/3)=3/12.
So, 3/12+5/12=7/12.
Jim and Jon painted 7/12 of the the fence.
Answer:
2/3 of the fence
Step-by-step explanation:
Jim painted 1/4 of the fence
Jon painted 5/12 of the fence
Together they painted
1/4+5/12 of the fence
We need a common denominator to add the fractions
The common denominator is 12
1/4*3/3 + 5/12
3/12 + 5/12
8/12
This can be simplified by dividing the top and bottom by 4
2/3
Together, they painted 2/3 of the fence.
at the beginning of school, we had 40 algebra books. We increased our supply by 65%. how many algebra books does the school have now?
Answers
One number is 7 more than another.The difference between their squares is 217.What are the numbers?
Answers
The problem where one number is 7 more than another and their squares differ by 217 can be solved by creating a system of equations and simplifying to find the numbers are 12 and 19.
Explanation:To solve the problem where one number is 7 more than another and the difference between their squares is 217, we can create a system of equations. Let's assume the first number is x and the second number is x+7. The problem then translates to the equation (x+7)² - x² = 217.
Step-by-step solution:
Expand the left side of the equation: (x+7)² - x² = (x² + 14x + 49) - x².Cancel out the x² terms: 14x + 49 = 217.Subtract 49 from both sides: 14x = 168.Divide both sides by 14: x = 12.Therefore, the first number is 12 and the second number is 12 + 7 = 19.After computing the solution, we find that the two numbers are 12 and 19.
The radius of the circle shown below is 7 inches what is the approximate length of AB?
Answers
Answer:
16.5 inches
Step-by-step explanation:
WE have arc length formula for a circle as
Arc length = [tex]\frac{x}{360} (2\pi r)[/tex]
where x is the central angle the arc subtends at the centre.
Here x = 135
r= 7 inches
Hence arc length
=[tex]\frac{135}{360} (2\pi )(7) =16.5"[/tex]
Hence option B
16.5 inches is right answer for arc length for a circle of radius 7 inches.
The measure of length of arc AB is 16.5 inches. Therefore, option B is the correct answer.
What is the relationship between a central angle and its arc?An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the centre. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
Given that, the radius of the circle is 7 inches and measure of arc AB is 135°.
Let O be the center of circle.
So, ∠AOB=135°
We know that, arc length of circle is θ/360° ×2πr
= 135°/360° ×2×3.14×7
= 0.375×2×3.14×7
= 16.485
≈ 16.5 inches
Therefore, the approximate length of AB is 16.5 inches.
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A skydiver falls 144 feet in 3 seconds. How far does he fall per second
Answers
Answer:
144/3=48 ft per sec
Step-by-step explanation:
Answer:
48 per second
Step-by-step explanation:
if you divide 144 by 3 you get 43
Ty takes 1 hour to read 35 pages, 2 hours to read 70 pages, and 3 hours to read 105 pages, is this proportional? Explain
Answers
Answer:
Yes it is proportional.
Step-by-step explanation:
35/1 is the same thing as 70/2, as well as 105/3, because they all simplify to 35/1.
use the substitution method to solve the system of
equations.choose the correct ordered pair.
3x+y=10
y=x-2
A.(4,2)
B.(5,3)
C.(2,0)
D.(3,1)
Answers
Answer:
I THINK THE ANSWER IS D
TELL ME IF I"M WRONG
Step-by-step explanation:
Which of the following segments is a radius a circle A
Bc
Ac
Cm
Rs
Answers
Answer: Segment AC (second choice)
The radius is the segment that goes from the center, point A, to a point on the circle (either B, C or M). Since AB and AM aren't mentioned, this means that only AC is a radius of the four answer choices listed.
Hi what’s 7 times 8 again?
Answers
Answer:
the ansnwer is 56
mark as brainlest please!!
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
Add 7, 8 times and you'd get 56
Suppose the radius of a circle is 3 units. what is its circumference ?
Answers
Answer:
18.84 (or 19 to 2.s.f)
Step-by-step explanation:
The formula for the circumference of a circle is π * diameter. To find the diameter you multiply the radius by 2:
3 * 2 = 6
Then simply plug the value into the formula:
π * 6 = 6π ≈ 18.84 ≈ 19 to 2.s.f
Hope this helps!
Answer:The answer is 18.84
Step-by-step explanation:To figure out the circumference of a circle you need to divide the radius by 2. After that you would do [tex]2\pi * ( your number )[/tex] * 2
somebody help me out please
Answers
Answer:
Boys : girls
5:6
Step-by-step explanation:
Boys : girls
20:24
We can divide each of these numbers by 4
20/4 =5
24/4 =6
Boys : girls
5:6
Answer:
For every 5 boys there are 6 girls
Step-by-step explanation:
because 20 and 24 both go into the same number and thats four.
20 divided by 4 = 5
24 divided by 4= 6
so for every 5 boys there are 6 girls
What is Distributive property
Answers
Answer:
It is when you distribute one number between two numbers like this
Step-by-step explanation:
2(5+3)
5 x 2 and 2 x 3
10 + 6
16
Tim started reading at 6:05 pm. He finished reading at 6:47 pm. How long did Tim read for?
Answers
Answer:
Tim read for 42 minutes
Step-by-step explanation:
You have to subtract 6:47 by 6:05 to find how long he read for.
6:47
- 6:05
-----------------
0:42
Answer:
Tim read for 42 minutes
Step-by-step explanation:
Since the hours are the same, we only need to subtract the minutes.
47-5 = 42 minutes