Answers
CR = CP = 17
PQ = QR = 15
CQ = x^2 +15^2 = 17^2 = x^2 + 225 = 289
x^2 = 289-225 = 64, sqrt(64) = 8, CQ = 8
Related Questions
What are the side measures?
Answers
If so, I assume you know that the sum of the three angles of a triangle is always equal to 180.
So, (3x - 30) + (2x) + (x + 30) = 180
We solve for x
3x + 2x + x = 180 (I combined like terms)
6x = 180 (I combined like terms of x)
x = 30 (I divided by 6 to isolate x)
Now, we replace every value of x for 30
3x - 30 = 3 (30) - 30 = 60
One angle is 60 (This is the angle at the top)
2x = 2(30) = 60
Another angle is 60 (Angle at the right)
x + 30 = 30 + 30 = 60
The other angle is 60 (Angle at the left)
This triangle is a equilateral triangle.
I hope this helps.
YOU'RE WELCOME :D
*brainliest*
A circle whose area is 4 has a radius of x find the area of a circle whose radius is 3x
Answers
4=3.14(x)squared
4/3.14=x(squared)
x=1.12867
The second one is done simply by multiplying it out.
A=3.14(3x)squared
A=3.14(9x[squared])
A=28.26x[squared] -The squared is referring to the x.
Answer:
Area = 36 units.
Step-by-step explanation:
Given : A circle whose area is 4 has a radius of x .
To find : find the area of a circle whose radius is 3x.
Solution: We have given
Area of circle = 4 units.
Radius = x .
Formula of area = pi (radius)².
Plug the values
pi (x)² = 4 -------(A)
If the radius = 3x .
Then 4
Area = pi (3x)².
Area = pi (9)(x)².
Area = 9 pi (x)²-----(B) .
We can see from equation ( A) 4 = pi (x)²
Area = 9 * 4.
Area = 36 units.
Therefore, Area = 36 units.
Bill, Bob, and Barry are hired to paint signs. In 8 hours Bill can paint 1 sign, Bob can paint 2 signs, and Barry can paint 1 and 1/3 signs. They all come to work the first day, but Barry doesn't like the job and quits after 3 hours. Bob works half an hour longer than Barry and quits. How long will it take Bill to finish 2 signs they were supposed to paint?
Answers
Bill will take a total of 5 hours (or 1½ hours additional after Bob quits).
The mean score on a biology exam taken by all undergraduate students in a college in a particular year is 67.8 with a standard deviation of 11.5. The standard error of the mean for a sample of 70 students is , and the margin of error of the mean is . (Round off your answers to the nearest hundredth.)
Answers
Standard error
= std dev / (SQRT) n
= 11.5 / SQRT of 70
= 11.5 / 8.366
= 1.374
Margin of error is the standard error multiplied by a Z value that correspondence to a confidence percentage. At a 95% confidence the Z value is 1.96. Therefore
MOE = 1.96 x 1.374 = 2.69
The standard error of the mean for a sample of 70 students is 1.375 .
The margin of error of the mean is 2.69 .
[Round off your answers to the nearest hundredth]
A scientist is working with 3 meters of gold wire. How long is the wire in millimeters?
Answers
To convert the length of 3 meters of gold wire to millimeters, multiply the length in meters by 1000. The wire is 3000 millimeters long.
Explanation:The scientist is working with 3 meters of gold wire, and we need to convert this length into millimeters. There are 1000 millimeters in a meter, so to convert meters to millimeters, you multiply the length in meters by 1000.
Conversion formula: Length in millimeters = Length in meters × 1000 mm/m.
Using the formula:
Length in millimeters = 3 m × 1000 mm/m = 3000 millimeters.
Therefore, 3 meters of gold wire is 3000 millimeters long.
To convert meters to millimeters, we can use the conversion factor that 1 meter is equal to 1000 millimeters.
Therefore, to find the length of the wire in millimeters, we multiply the given length in meters by 1000:
3 meters * 1000 millimeters/meter = 3000 millimeters
The length of the gold wire in millimeters is 3000.
Explanation:To convert meters to millimeters, you need to multiply the measurement by 1000. Since the scientist is working with 3 meters of gold wire, you can calculate the length in millimeters by multiplying 3 by 1000, which equals 3000 millimeters. Therefore, the length of the wire is 3000 millimeters.
An oil slick is expanding as a circle. The radius of the circle is increasing at the rate of 20 meters per day. Express the area of the circle as a function of d, the number of days elapsed.
Answers
r=0+ 20*d
r=20d
The oil slick expands as a circle and the formula for circle area is [tex] \pi [/tex] r^2. If you insert the first equation into this equation you will got:
circle area = [tex] \pi [/tex] r^2
circle area = [tex] \pi [/tex] (20d)^2
circle area = [tex] \pi [/tex] 400*d^2
Answer:
Step-by-step explanation:
d = number of days since the oil slick started
r = radius in d days = 22d
A(d) = area of oil slick in d days = π(22d)2
A(d) = 484πd2
The sum of two numbers is 95. If the larger number is increased by twice the smaller number, the result is 120. What is the larger number?
If S = the smaller number and L = the larger number, then which of the following systems of equations represents the word problem?
Answers
2s+L=120
so it's 120
Answer: correct answer is S + L = 95 and 2S + L = 120
Step-by-step explanation:
Factor the polynomial completely 20x -220x squared + 600x
Answers
-220x^2 + 20x + 600x
Simplify
-220x^2 + 620x
Find the GCF of the two values
20x(11x + 13)
Hope this helps!
solve for p if 2|p|=4
Answers
2|p| = 4
|p| = 2
Now set p = 2, and set p = -2.
Since what was inside the absolute value symbol is just p, the equation is solved.
Answer: p = 2 or p = -2
If your speedometer reads 65 mph then you are actually traveling how many miles?
Answers
This set of points is on the graph of a function.
{(−3, 9), (−1, 1), (0, 0), (2, 4)}
Which points are on the graph of the inverse?
Select each correct answer.
(0, 0)
(−9, 3)
(4, 2)
(1, −1)
What is the inverse of f(x)=4x+3 ?
f^−1(x)=1/4x−3/4
f^−1(x)=−1/4x+3/4
f^−1(x)=4x−3
f^−1(x)=−4x−3
What is the inverse of the function?
g(x)=−4/3x+2
g^−1(x)=−4/3x−2
g^−1(x)=3/4x+2/3
g^−1(x)=−3/4x+3/2
g^−1(x)=4/3x−2
Which functions are invertible?
Select each correct answer. (has pictures)
A.
B.
C.
D.
What is the inverse of f(x)=x4+7 for x≥0 where function g is the inverse of function f?
g(x)=x+7√4 , x≥−7
g(x)=x√4+7 , x≥0
g(x)=x−7√4, x≥7
g(x)=x√4−7 , x≥0
Answers
(-3,9) is one point on the original function, so (9,-3) is on the inverse. We swap x and y. The point (9,-3) isn't listed so we move onto the next.
(-1,1) is on the original so (1,-1) is on the inverse. Again we swap x and y. Choice D matches with this. So D is one of the answers.
Choice A is also an answer since (0,0) swaps to (0,0)
Choice C is also an answer since (2,4) swaps to (4,2)
In summary, the answers are A, C, D
======================================================================
Problem 2)
Replace f(x) with y. Swap x and y. Then solve for y
f(x) = 4x+3
y = 4x+3
x = 4y+3
x-3 = 4y+3-3
x-3 = 4y
4y = x-3
4y/4 = (x-3)/4
y = (x-3)/4
y = x/4-3/4
y = (1/4)x-3/4
which matches with choice A, so choice A is the answer
======================================================================
Problem 3)
Replace g(x) with y. Swap x and y. Then solve for y
g(x) = (-4/3)x + 2
y = (-4/3)x + 2
x = (-4/3)y + 2
x-2 = (-4/3)y + 2-2
x-2 = (-4/3)y
(-3/4)(x-2) = (-3/4)(-4/3)y
(-3/4)(x-2) = y
y = (-3/4)(x-2)
y = (-3/4)x+(-3/4)(-2)
y = (-3/4)x+3/2 ... answer is choice C
======================================================================
Problem 4)
The first two are invertible while the last two are not. The last two fail the horizontal line test so they don't have an inverse.
======================================================================
Problem 5)
It's a bit tricky to determine what the answer choices are saying but I'm assuming they are referring to fourth roots. If so, then we have
f(x) = x^4+7
y = x^4+7
x = y^4+7
x-7 = y^4+7-7
x-7 = y^4
y^4 = x-7
FourthRoot(y^4) = FourthRoot(x-7)
y = FourthRoot(x-7)
which is written as [tex]\sqrt[4]{x-7}[/tex]
The points on the inverse function are (9, -3), (1, -1), (0, 0), and (4, 2). The inverse of f(x)=4x+3 is[tex]f^{-1}(x) = -3 + \frac{1}{4}x[/tex]. The inverse of g(x)=−4/3x+2 is [tex]g^{-1}(x) = \frac{3}{4}x + \frac{2}{3}[/tex] . The inverse of f(x)=x^4+7 for x≥0 is [tex]g(x) = \sqrt{\frac{x-7}{4}}[/tex], for x≥7.
Explanation:To find the points on the graph of the inverse of the function, simply switch the x and y coordinates. So, the points on the graph of the inverse function would be (9, -3), (1, -1), (0, 0), and (4, 2).
For the inverse of the function f(x)=4x+3, you rearrange the equation to solve for x. That gives [tex]f^{-1}(x) = -3 + \frac{1}{4}x[/tex]Therefore, the correct answer is [tex]f^{-1}(x) = \frac{1}{4}x - \frac{3}{4}[/tex]
The inverse of the function g(x)=−4/3x+2 could be found in the same way, which gives[tex]g^{-1}(x) = \frac{3}{4}x + \frac{2}{3}[/tex]
As for the question regarding invertible functions, without the images it is not possible to provide an answer.
The inverse of the function [tex]f(x)=x^4+7[/tex] for x≥0 is calculated by swapping x and y, and then solving for y. This yields: [tex]g(x) = \sqrt{\frac{x-7}{4}}[/tex], for x≥7.
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X^2= 1/100 what does x equal?
Answers
x = 1/10
Because 1/10 * 1/10 = 1/100
Choose the correct answer for the amount of interest earned in the following simple interest problem. A deposit of $4,000 at 6.5% for 270 days
Answers
I=prt
I interest earned?
P principle 4000
R interest rate 0.065
T time 270/360days
I=4,000×0.065×(270÷360)
I=195
Note that the interest is ordinary not exact. Ordinary interest assumes that there are 30 days in every month or in other word 360 days a year.
Hope it helps!
Answer:
195.00
Step-by-step explanation:
PLEASE HELP!!! Write the equation that describes the simple harmonic motion of a particle moving uniformly around a circle of radius 8 units, with angular speed 5 radians per second
Answers
The equation that describes the simple harmonic motion of a particle moving uniformly around a circle is x(t) = Acos(wt + φ). In this case, the equation is x(t) = 8cos(5t + φ).
The equation that describes the simple harmonic motion of a particle moving uniformly around a circle can be derived using the concept of circular motion and trigonometry.
The equation for the position of the particle is given by x(t) = Acos(wt + φ), where A is the radius of the circle, w is the angular speed, t is the time, and φ is the phase shift.
In this case, the radius of the circle is 8 units and the angular speed is 5 radians per second. Therefore, the equation for the simple harmonic motion of the particle is x(t) = 8cos(5t + φ).
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Sam made 6 identical necklaces, each having beads and a pendant. the total cost of the beads and pendants for all 6 necklaces was $31.80 . if the beads cost $2.70 for each necklace, how much did each pendant cost?
Answers
Answer: Each pendant costs $2.60
△VAT≅△BDT. What is length of BT?
Enter your answer in the box.
Answers
we know that
If △VAT≅△BDT, then the corresponding sides will be congruent
[tex]VT=BT\\VA=BD\\ AT=DT[/tex]
we have
[tex]VT=6.3\ unit\\VA=3.7\ unit\\AT=4.7\ unit[/tex]
so
[tex]BT=6.3\ unit[/tex]
therefore
the answer is
[tex]BT=6.3\ unit[/tex]
How can you distinguish the base of an isosceles triangle from a leg
Answers
What does it mean for data on a scatter plot to have no association? How does that affect the line of best fit?
Answers
For instance, let's say that I was going to plot (x,y) where x represented somebody's first name, and y represented how old they were
Does a person's name determine their age? Of course not, so there would be no association, or CORRELATION, which means there would not be a way to put in a line of best fit for this.
Hope this helps.
Brian
Answer:
If there isn't any association, or CORRELATION, then you'd have a very difficult time determining a line of best fit since the independent and dependent variables wouldn't have any form of relationship
Step-by-step explanation:
which is an equation in point-slope form of the line that passes through the points (4,5) and (-3,-1)?
A. y+1=6/5(x+3)
B. y-1=6/7(x-3)
C. y+1=6/7(x+3)
D. y+3=7/6(x+1)
Answers
First, you find the slope of the 2 points.
Slope= 6/7
C is the best answer to your question
A paper hat is folded into the shape of a kite, as shown. What total length of ribbon is needed to line the two long sides of the hat? 10 in. 11 in. 20 in. 22 in.
Answers
Answer:
Step-by-step explanation:
your answer is d
A kite is a quadrilateral with four sides that may be divided into two adjacent pairs of equal-length sides. The total length of ribbon that is needed to line the two long sides of the hat is 22 inches.
What is a kite?A kite is a quadrilateral with four sides that may be divided into two adjacent pairs of equal-length sides. A parallelogram, on the other hand, has two sets of equal-length sides that are opposite each other rather than adjacent.
Since the two adjacent small and two adjacent long sides of a kite are always equal. Therefore, the length of the smaller sides can be written as,
(2x + 1) inches = 5 inches
2x + 1 = 5
2x = 4
x = 2
Now, the length of the longer side of the kite can be written as,
(3x + 5) inches
= 3(2) + 5
= 11 inches
As both the long sides are needed to be covered with the ribbon, therefore, the length of the ribbon needed is,
Ribbon needed = 11 inches × 2
= 22 inches
Hence, the total length of ribbon that is needed to line the two long sides of the hat is 22 inches.
The diagram of the question is mentioned in the below image.
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What are the dimensions of the following matrix?
5 -6
0 1
3 5
-1 7
A. 2x4
B.4x2
C.3x2
D.none of these
Answers
A cube is packed with decorative pebbles. If the cube has a side length of 4 inches, and each pebble weighs on average 0.5 lb per cubic inch, what is the total weight of the pebbles in the cube?
Answers
This will give 32 pounds
As per an axiom in Euclidean geometry, if__ points lie in a plane, the___containing those points also lies in the same plane.
1. two or three
2. plane or line
Answers
Answer:
1. Two
2. Line
Step-by-step explanation:
Two out of the five axioms of the Euclidean Geometry are:
1. A straight line can be drawn between any two points.
2. Any straight line can be extended infinitely.
So, from the above axioms, we get that 'If two points lie in a plane, a straight line can be drawn between those points and that line can be extended indefinitely in that plane'.
Hence, 'If TWO points lie in a plane, the LINE containing those points also lie in the same plane'.
the shadow of an object varies directly as it height a man 1.8m tall cast a shadow 4.32m long if at the same time a flagpole cast a shadow 12.8m long how it is the flagpole?
Answers
Determine if the lines are parallel, perpendicular, or neither y=5 and y =-1
Answers
They both line on the y - axis .
( 0,5 ) and ( 0,-1 )
Chris is in training for a bicycle race. He needs to ride 50 kilometers a week as a part of his training. He rode 18.23 kilometers on Monday and 13.94 kilometers on Tuesday.
How much more does Chris need to ride to complete his training for the week ?
A. 4.29 km
B. 17.83 km
C.31.77 km
D. 36.06 km
Answers
add how many he rode already:
18.23 + 13.94 = 32.17
now subtract that from 50:
50 - 32.17 = 17.83
answer is B. 17.83 km
What is the equation of a line with a slope of -1/2 and passes through the point (6,-6)
Answers
y=-1/2x-3
Hope that helped
A parabola opens to the left. Which could be the equation of the parabola?
(x – 4)2 = 4(y + 3)
(x – 4)2 = –4(y + 3)
(y – 4)2 = 4(x + 3)
(y – 4)2 = –4(x + 3)
Answers
Answer:
[tex](y - 4)^2 = -4(x + 3)[/tex]
Step-by-step explanation:
When parabola opens the left then it is a horizontal parabola
Vertex form of horizontal parabola is
[tex](y-k)^2= 4p(x-h)[/tex]
where (h,k) is the vertex
When the parabola opens to the right then 4p is positive
when parabola opens to the left then 4p is negative
Now we look at the given equation and check with vertex form of parabola
[tex](y - 4)^2 = -4(x + 3)[/tex]
Here the value of 4p is negative , so parabola opens left
1. In what country did the government debate the merit of teaching students quadratics? 2. What modern technology would not be possible without quadratics? (hint: I have one at my house.) 3. What great ideas did the Babylonians come up with? 4. Why did the Babylonians need to solve quadratic equations?
Answers
Two people start walking at the same time in the same direction. one person walks at 4 mph and the other person walks at 7 mph. in how many hours will they be 2.25 miles apart?