Answers
The value of x, if In triangle ABC, AC = 18, BC = 30 is 24.
What is circle?A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).
Given:
In triangle ABC, AC = 18, BC = 30
As we know, if a tangent is drawn from the circle then it will form a right-angled triangle thus, ∠ ABC = 90°,
Calculate the value of x by using Pythagoras' theorem as shown below,
[tex]x^2 = BC^2 - AC^2[/tex]
x² = 30² - 18²
x = √(900 - 324)
x = √576
x = 24
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Related Questions
Justin is buying a cell phone that has a regular price of $149.
The cell phone is on sale for 15% off the regular price.
What will be the sale price?
Answers
Answer:
22.35 i think
Step-by-step explanation:
you have to turn 15 into a decimal and then multiply by 149 correct me if Im wrong! hope that helps though.
Jesus borrowed $1000 for 1 week at an APR of 350%. How much interest did he have to pay at
the end of the week? (There are 52 weeks in a year)
$52.70
$67.31
$78.42
$86.21
Answers
If Jesus borrowed $1,000 for 1 week at an APR of 350%, the interest he has to pay at the end of the week is B. $67.31.
What is the interest?The interest represents the cost of borrowing.
The interest is computed as the principal multiplied by the annual percentage rate (APR) and time (period).
The interest formula used here is the simple interest instead of the compound interest, which charges interest on accumulated interest and the principal every period.
Principal borrowed for 1 week = $1,000
Annual percentage rate (APR) = 350%
Loan period = 1 week
52 weeks = 1 year
Interest = Principal x APR x Time
= $1,000 x 350% x 1/52
= $67.31.
Thus, the interest that the borrower pays for $1,000 for 1 week at 350% APR is not $52.70, $78.42, or $86.21, but $67.31.
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jar a has exactly four red buttons and eight blue buttons. carla then removes the same number of red buttons as blue buttons from jar a and places them in an empty jar b. jar a now has $\frac{2}{3}$ of its original number of buttons. if carla were now to randomly choose a button from jar a and a button from jar b, what is the probability that the two chosen buttons will both be red? express your answer as a common fraction.
Answers
Probability of choosing two buttons each from the Jar a and Jar b is equal to ( 3/ 4).
As given in the question,
Number of red buttons in Jar a = 4
Number of blue buttons in Jar a = 8
Total buttons in Jar a = 12
After removing equal number of red and blue buttons from Jar a
Number of buttons left in Jar a = ( 2/ 3) × 12
= 8 buttons
total number of buttons in Jar b = 4
Both the buttons are equal
Number of red buttons in Jar b = 2
Number of blue buttons in Jar b = 2
Probability of choosing a red button from each Jar
= (²C₁ / ⁸C₁) + ( ²C₁ / ⁴C₁ )
= ( 2 / 8) + ( 2 / 4)
= ( 1/ 4) + ( 1/ 2)
= 3 / 4
Therefore, the probability of getting total two red buttons one from each Jar is equal to ( 3 /4).
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Jeff spent $50 on gifts for his tamily. The first 2 items cost a total of $15 and then he bought 2 more for a total of $20. How many additional gifts did Jeff buy if their average cost was $10 each?
Answers
The number of additional gifts Jeff can buy with the remaining cost is 1.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
As per the given,
Total cost = $15 + $20 = $35
Total spent = $50
Remaining = $50 - $35 = $15
Since one gift cost $10
Thus, 15/10 = 1.5 since the number of gifts will be the whole number so it will be round to bottom 1 gift.
Hence "With the money still available, Jeff can purchase 1 more present".
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Helppp mememmemm plese it is do Tm
Answers
Answer: the same line
Step-by-step explanation:
Let us transform the equation:
[tex]\displaystyle\\y=\frac{4}{3} x+1\\\\[/tex]
Multiply both parts of the equation by 3:
[tex]\displaystyle\\3y=\frac{4}{3}(3) x+1(3)\\\\3y=4x+3\\\\3y-4x=4x+3-4x\\\\3y-4x=3[/tex]
Seven friends shared a two-thirds pound bag of pistachios. If each person had the same amount of nuts, how many pounds did each person eat?.
Answers
Each person ate 21/2 pounds of nut
First of all, we have 7 friends who are going to share 2/3 pound bag of pistachios
This will mean that we will have to divide equally the two-thirds-pound bag of pistachios among the seven people that we have so that we get the share that each person will get
There are 7 friends that share a 2/3-pound bag.
The first step will be: 7÷2/3
7÷0.6666
we will get 21/2 or 10.5
This will imply or mean that each of the friends will get an equal share of 21/2 of the a two-thirds pound bag of pistachios
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Joe is on a sidewalk 100ft away from the tree ,jim is on a perpendicular sidewalk 70ft from the tree how far away are they from earth other
Answers
Answer:
30 ft
Step-by-step explanation:
Answer:
122 ft
Step-by-step explanation:
The 100 ft and the 70 ft are two legs of a right triangle....their distance apart is the hypotenuse of this triangle ....use Pythagorean theorem
d^2 = 100^2 + 70 ^2
d = 122 ft
Flo had 3 packages of paper that each had p pieces of paper. After she gives away 6 pieces of paper, she has 23 pieces of paper left. Which equation can be used to determine how many pieces of paper are in each package? * 10 points A. 3p + 6 = 23 B. 23 = 3p – 6 C. 6 – 3p = 23 D. 6p + 23 = 3p
Answers
Answer:
D
Step-by-step explanation:
Consider a rectangle that is inscribed with its base on the x-axis and its upper corners on the parabola y=c−x2, with c
Answers
The area of a rectangle that is inscribed with its base on the x-axis and its upper corners on the parabola [tex]y=c-x^2[/tex] is [tex]4(\frac{c}{3})^\frac{3}{2}[/tex].
A rectangle has a width [tex]2x[/tex] ⇒ w= [tex]2x[/tex]
height of the rectangle is [tex]c-x^2[/tex] ⇒ [tex]y=c-x^2[/tex]
Area=width multiplied by the height
⇒[tex]area=width*height[/tex]
we maximize Area by setting [tex]\frac{dA}{dx} =0[/tex] .
[tex]\frac{d(2c-2x^3)}{dx} =0\\\\2c-6x^2=0\\\\x^2=\frac{1}{3}c\\ \\x=\sqrt{\frac{c}{3} }[/tex]
substituting back the value of x in the formula of the area we get
[tex]area=2\sqrt{\frac{c}{3} } *2\frac{c}{3} \\\\area=4(\frac{c}{3})^\frac{3}{2}[/tex]
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Simplify:
-x²+2-1+ 6x² - 4x²
Answers
Answer: x^2 + 1
Step-by-step explanation:
-x²+2-1+ 6x² - 4x²
We combine the x^2 and the numbers and we have the equation
x^2 + 1
Use completing the square to rewrite the given function in vertex form. Determine whether the vertex is a maximum or minimum value. Select the TWO correct answers.
y = x2 + 10x + 15
A The vertex is a maximum value at point (5, 10)The vertex is a maximum value at point (5, 10)
B The vertex form is y = (x+5)2 − 10.The vertex form is y = ( x + 5 ) 2 − 10.
C The vertex form is y = (x−5)2 + 10.The vertex form is y = ( x − 5 ) 2 + 10.
D The vertex form is y = (x+5)2 + 10The vertex form is y = ( x + 5 ) 2 + 10
E The vertex is a minimum value at point (−5, −10)
Answers
The function x^2 +10x +15 in vertex form is (x+5)^2 - 10 and the vertex is a minimum at (-5, -10)
What is the vertex of a curve?The vertex of a parabola is a point at which the parabola makes its sharpest turn. A parabolic function has either a maximum value (if it is of the shape '∩') or a minimum value (if it is of the shape 'U"). The vertex of a parabola is also the point of intersection of the parabola and its axis of symmetry.
y = x^2 + 10x +15
making x^2 + 10x +15 a perfect square expression we square the half of the coefficient of x on both sides which is (5)^2
y + (5)^2 = x^2 + 10x + (5)^2 + 15
y + 25 = x^2 + 10x + (5)^2 + 15
x^2 + 10x + (5)^2 can be written as (x+5)^2 since iti is now a perfect square expression
y + 25 = (x+5)^2 + 15
y = (x+5)^2 + 15 - 25
y = (x+5)^2 -10
Equation of parabola in vertex form is y = a (x - h)2 + k
where k is the minimum or maximum point of vertex and h is the x coordinate of vertex.
comparing both equations, the coordinate of vertex (h, k) is (-5, -10) which is a minimum point.
In conclusion the vertex is a minimum at (-5, -10) and the equation in vertex form is (x+5)^2 -10
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Please don’t answer if you don’t know
Answers
(pls help) Determain if each function is liner or non-liner.
A- y=6/x-2
B- y=x
C- y= x/2-3
D- 3x+y=12
E- y=3x[tex]x^{3}[/tex]+5
Answers
B. Linear
C. Linear
D. Linear
E. Doesn’t make sense
huck finn is interested in the average length of catfish in the mississippi river bordering st. louis. to collect his sample, huck breaks the river into 5 regions and catches 8 catfish from each region. what method did huck use to select his sample?
Answers
The method that he chooses to select his sample is Stratified Sampling.
In Stratified, the population is divided into subpopulations and then the same sampling is applied to each region or subpopulation.
The ability to obtain a sample population that most accurately represents the overall population being investigated while ensuring that each subgroup of interest is represented makes stratified random sampling one popular technique employed by researchers. Researchers use stratified sampling to ensure that specific subgroups are represented in the sample. It also helps in the precise evaluation of each group's characteristics. This technique is often used in surveys to better understand disparities between subpopulations.
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The admission fee at the fair is $1.50 for children and $3.00 for adults. On Saturday a total of 3200 people attended the fair and $5,850 was collected at the gate. How many adults attended the fair?
Answers
there were 1500 kids and 700 adults.
What exactly are linear equations with two variables?
Therefore, a linear equation in two variables is any equation that can be written in the form ax + by + c = 0, where a, b, and c are real values, and a and b are not equal to zero. This implies that you can come up with a ton of these equations. Solution: It is possible to write 2x + 3y = 4.37 as 2x + 3y - 4.37 = 0.
Write the following two equations first, setting c = children and a = adults:
c + a = 2200
1.50 ( c ) + 4.00 ( a ) = 5050
Use substitution now, explains the explanation
c = 2200 − a \s 1.50 ( 2200 − a ) + 4.00 ( a ) = 5050
Reduce complexity: 2.5 a = 1750 a = 700
Using the first formula, c = 2200 a = 2200 700 = 1500
In conclusion, there were 1500 kids and 700 adults.
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if a person rolls two dice, what is the probability of not getting a five as the sum of the two dice?
Answers
The probability of not getting a five as the sum of the two dice is 1/9.
Roll of Dice:
To roll means to take risks. Take risks in hopes of a lucky outcome or victory. As a noun, dice roll is the case for "rolling dice".
According to the Question:
To find the probability, divide the number of successful outcomes by the total number of possible outcomes.
Each dice has 6 combinations that are independent of each other. So the number of possible outcomes is 6*6 = 36.
The probability of rolling two dice and getting a total of 5 is 4/36 = 1/9.
The probability of getting a sum of 5 is
Therefore, the combinations are:
(4 , 1),(1 , 4),(2, 3) and (3 , 2)
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In which of the options below will the number 10 correctly fill in the blank? Select all that apply. A) 3 : 5 = 6 : ___ B) 2 : ___ = 4 : 16 C) 1 : ___ = 4 : 40 D) 5 : 8 = ___ : 24
Answers
Answer: i think c and a
Step-by-step explanation:
A rectangular solid has width w, a length of 7 more than the width, and a height that is equivalent to 15 decreased by 3 times the width. Express the volume in terms of the width, w. Then find the maximum volume to the nearest whole number cubic unit.
Answers
The maximum volume of the rectangular solid in cubic units in terms of the width, w is [tex]-3w^{3}-6w^{2}+105w[/tex].
Information from the question is known as follows :
width = w
length = w+7
height = 15-3w
The maximum volume of a rectangular solid can be found by the formula :
Volume = length x width x height
Volume = (w+7) x w x (15-3w)
Volume = [tex](w+7)(15w-3w^{2} )[/tex]
Volume = [tex]15w^{2}-3w^{3} +105w-21w^{2}[/tex]
Volume = [tex]-3w^{3}-6w^{2}+105w[/tex]
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Juan has a net monthly income of $4800 and is willing to spend 11% of that income on groceries, and 8% on entertainment. How much money does he devote to each category?
Answers
Answer:
11%=528
8%=384
Step-by-step explanation:
4800×11÷100
4800×8÷100
Is triangle ABC a dilation of triangle def?
Answers
The triangle ABC is a Dilation of triangle DEF.
A dilation is a transformation that produces an image that is the same shape as the original one but in a different size. Each point is stretched outwards from the center point D by multiplying distances by the scale factor. So, the shape of triangles ABC and DEF are the same.
Since they have similar shapes, their angles will be the same. The largest angle measured in triangle DEF = The largest angle measured in triangle ABC.
Dilation can reduce the shape of an object. The dilation can also enlarge a shape proportionally resulting in a giant monster version of itself.
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What is an equation of the line that passes through the points (5 , -6) and (-5 , -2)?
I will give brainliest! thank you
Answers
Answer:
Step-by-step explanation: Plug coordinates into y=ax+b
Simultaneous equations
-6=5a+b
-2=-5a+b
So y=-0.4x-4
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Ana is a teacher who plays a review game with her class. The game involves writing each student's name on an identical slip of paper and selecting students at random. Here's the makeup of her class: grade 9^\text{th}9 th 9, start superscript, start text, t, h, end text, end superscript 10^\text{th}10 th 10, start superscript, start text, t, h, end text, end superscript 11^\text{th}11 th 11, start superscript, start text, t, h, end text, end superscript number of students 121212 999 777 suppose that ana picks a name, replaces it, and picks a name again. What is the probability that neither of the students selected are 9^\text{th}9 th 9, start superscript, start text, t, h, end text, end superscript graders? round your answer to two decimal places.
Answers
Ana is a teacher who plays review games with the class. If Ana picks a name, replaces it, and picks a name again there is a 0.33 percent chance that none of the students is in ninth grade.
Probability is used to find out the number of chances that an event occurs.
Number of students that are not in nine grade
N9 = 9 + 7
N9 = 16
The total number of students are
Total = 12 + 9 + 7
Total = 28
The probability of neither of a student in nine grade
P = P (N9) x P (N9)
P = 16/28 x 16/28
P = 256/784
divide and approximate
P = 0.33
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Use the 30-60-90 rule to find the lengths of the sides labeled e and d
Answers
The length of the side e would be e = 9√3 and the length of the side d would be d = 18.
What is the 30-60-90 rule of the triangle?
If the angles of the triangle are 30, 60, and 90 degrees then we can say that the given triangle will follow the rule of 30-60-90.
The rule says:
Side opposite to 30 = 1/2 * Hypotenuse
Side opposite to 60 = √3/2 * Hypotenuse
In the given triangle, we can apply the 30-60-90 triangle rule, and we get
Side opposite to 30 = 1/2 * Hypotenuse
9 = 1/2 * d
d = 18
Now let's find the side 'e'
Side opposite to 60 = √3/2 * Hypotenuse
e = √3/2 * 18
e = 9√3
Hence, the length of the side e would be e = 9√3 and the length of the side d would be d = 18.
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a line is graphed on the coordinate plane write the equation of a line in slope-intercept form. Explain how you found the slope and the y- intercept
Answers
The slope (m) of the line that passes through the points (0, 4) and (8, 0) is -1/2 and the y-Intercept is (0, 4).
What is the slop of the line?
A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).
We have,
The line that passes through the points (0, 4) and (8, 0)
Slop (m) = ?
The slope formula is:
m = (y₂-y₁) ÷ (x₂-x₁)
so here,
m = (0 - 4) ÷ (8 - 0)
m = -4 ÷ 8
m = -1/2
Hence, the slope (m) of the line that passes through the points (0, 4) and (8, 0) is -1/2 and the y-Intercept is (0, 4).
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Only 30% of teams beat The Great Escape Challenge. If 15 teams beat the challenge,
how many teams have played The Great Escape Challenge?
conte the problem
Answers
Answer: 50 teams
Step-by-step explanation:
We will set up a proportion to solve.
[tex]\displaystyle \frac{30\%}{15\;\;\text{teams}} =\frac{100\%}{x\;\;\text{teams}}[/tex]
A percent divided by 100 becomes a decimal.
[tex]\displaystyle \frac{0.3}{15\;\;\text{teams}} =\frac{1}{x\;\;\text{teams}}[/tex]
Next, we will cross-multiply:
0.3x = 15
Lastly, we will divide.
x = 50
Nadia typically types 32 words per minute, but her rate may vary by as much as 5 words per minute. Let x be the actual rate at which Nadia types. What is the range of rates, in words per minute, that Nadia could type?
Answers
We know that 35 ≤ x ≤ 41 is typing speed of Nadia using inequality.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.
The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign.
It is an illustration of inequity.
This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.
So, Nadia can type 38 words per minute with her typical typing speed.
She has a 3-word per minute range for her typing speed.
Thus, either 38+3=41 or 38-3=35 words per minute will be typed.
Given that 38+3=41 is the actual typing speed in this case, the inequality will be:
35 ≤ x ≤ 41
Therefore, we know that 35 ≤ x ≤ 41 is typing speed Nadia using inequality.
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Alvin can jog 9 km in 0. 75 hr. And bicycle 12 km in 0. 5 hr. What is p? select the hint button to view a hint.
Answers
The value of p is 2 , when Alan’s jogging speed is 0.02% of his cycling speed.
Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
According to the question,
Alvin can jog 9 kilometers in 0.75 hours, and he can cycle 12 kilometers in 0.5 hour.
Let the jogging speed be "x" and cycling speed be "y"
=> Average Speed = distance/time
jogging Speed : x = 9 kilometers / 0.75 hours
=> x = 9/0.75
=> x = 12
Therefore, Jogging speed = 12 kilometers per hour
Now,
Cycling speed : y = 12 kilometers / 0.5 hour
=> y = 24 kilometers per hour
Let " p" be the percent
=> 12p = 24
=> p = 24/12
Apply the division operation,
=> p = 2
Convert 2 to a percent.
x = 0.02%
Therefore, Alan’s running speed is 0.02% of his cycling speed.
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The formula for Area of a Triangle is:
A= ½ (b)(h)
What is the formula for the height of a triangle in terms of Area and base?
h = ?
Answers
Answer:
h = [tex]\frac{2A}{b}[/tex]
Step-by-step explanation:
A = [tex]\frac{1}{2}[/tex] bh ( multiply both sides by 2 to clear the fraction )
2A = bh ( isolate h by dividing both sides by b )
[tex]\frac{2A}{b}[/tex] = h
evaluate 2 . ( 2 + 2 ⁵)
Answers
Answer:
86
Step-by-step explanation:
2[2+(2x2x2x2x2]
2(2 + 32)
2(43)
86
Given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line. State True or False your answer:a. Trueb. False
Answers
The answer is true because a parabola is made up of all points that are equally distant from a fixed point and a fixed line for a given fixed point and fixed line.
What is a parabola?A bowl-shaped object is defined as having a curve at the surface created by the intersection of a cone and a plane that is perpendicular to a straight line. Another definition of a curve is one created when a moving point moves such that its distance from a fixed point equals its distance from a fixed line. A quadratic function is known in this form as its standard form.
The trajectory of a plane to a point equal in distance from the fixed time is called as parabola. The fixed point is called the focal point of the parabola and the line is called the alignment of the parabola.
Therefore, The answer is true because a parabola is made up of all points that are equally distant from a fixed point and a fixed line for a given fixed point and fixed line.
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