Answer:
60°
Step-by-step explanation:
The whole circunference is 360° from a central angle
so from an inscribed angle is 180°
notice that arc ABC + arc ADC make the whole circunference
so the inscribed angles that support those arc together must add to 180°
120°+b=180
b=60
from here we deduce that a cyclic quadrilateral (a quadrilateral that his points are on a circunference) oposite angles add up to 180
using the property of squares find the value of the following 24 square - 23 square
Answer:
47
Step-by-step explanation:
Using the follwing property
[tex]x^{2} -y^2=(x+y)(x-y)[/tex]
in which x=24 and y=23
so
[tex]24^2-23^2=(24-23)(24+23)\\=1(47)\\=47[/tex]
Answer:
47
Step-by-step explanation:
Lets say 24 is x and 23 is y.
the equation would be x^2 - y^2
this is = to (x-y)(x+y)
substitute the numbers in
(24-23)(24+23)
which simplifies to
(1)(47)
which equals 47
Can integers be written as fractions?
Answer:
Step-by-step explanation:
Yes you can just write them with denominator 1,
So 3 = 3/1 and -6 = -6/1.
Answer:
Yes.
Step-by-step explanation:
ALL real numbers can be written as fractions, and since integers fall under the category of real numbers, it is official that they can be written as fractions.
I am joyous to assist you at any time.
4. The function g is defined by
the value of (60) ?
Answer:
Here for the comments .
Step-by-step explanation:
Without using a calculator, convert the fraction to a decimal
Answer:
what's the fraction though?
A line passes (-8,-2) and has a slope of 5/4. Write an equation in Ax + By=C
Answer:
5x-4y = -32
Step-by-step explanation:
First write the equation in point slope form
y-y1 = m(x-x1)
y - -2 = 5/4 ( x- -8)
y+2 = 5/4 (x+8)
Multiply each side by 4 to clear the fraction
4( y+2 )= 4*5/4 (x+8)
4y +8 = 5(x+8)
4y+8 = 5x+40
Subtract 4y from each side
8 = 5x-4y +40
Subtract 40 from each side
-32 = 5x-4y
5x-4y = -32
Answer:
The answer is
5x - 4y = -32Step-by-step explanation:
To write an equation of a line given a point and slope use the formula
y - y1 = m( x - x1)
where
m is the slope
( x1 , y1) is the point
From the question
slope = 5/4
point (-8 , -2)
So the equation of the line is
[tex]y + 2 = \frac{5}{4} (x + 8)[/tex]Multiply through by 4
4y + 8 = 5( x + 8)
4y + 8 = 5x + 40
5x - 4y = 8 - 40
We have the final answer as
5x - 4y = -32Hope this helps you
Help me on Domain and Range
Answer:
Domain: 0 ≤ x < 9
Range: 0 < y ≤ 3
Step-by-step explanation:
The domain is the set of all values used for x-coordinates of all points on the curve.
The range is the set of all values used for y-coordinates of all points on the curve.
Look at the graph. The leftmost point is (0, 3). That point is included in the graph since there is no open circle there.
So far we know this:
Domain goes from 0 to ...
Range goes from 3 to ...
Now we look at the rightmost point. It is (9, 0), but there is an open circle on it, so that point itself is not included in the domain or range.
Now we know this:
Domain goes from 0 to just less than 9.
Range goes from 3 to to just more than 0.
Domain: 0 ≤ x < 9
Range: 0 < y ≤ 3
To get from home to work, Felix can either take a bike path through the rectangular park or ride his bike along two sides of the park. How much farther would Felix travel by riding along two sides of the park than he would by taking the path through the park?
Answer:
c=5.9/6(G)
Step-by-step explanation:
first find the 2 distances.
a^2+b^2=c^2 c=2.4+.7
7^2+2.4^2=c^2 c=3.1
.49+5.85=c^2
c^2=6.34
c=√6.34
c=2.51.
next subtract the two distances to find the difference.
c=2.51-3.1
c=.59
so the distance would be .59 which can be rounded up to .60/G
explanation on how I knew the answer.
Im reviewing for the math 8th grade staar.
The domain of this function is {-12, -6, 3, 15}. y=-2/3x+7 Complete the table based on the given domain.
Answer:
Step-by-step explanation:
Domain of a function represents the set of x-values (input values) and y-values (output values) of the function represent the Range of the function.
Given function is,
[tex]y=-\frac{2}{3}x+7[/tex]
If Domain (input values) of this function is,
{-12, -6, 3, 15}
Table for the input-output values of this function,
x -6 3 15 -12
y 11 5 -3 15
Answer:
Step-by-step explanation:
5 diferrent representations of the value 3
Answer:
3
= 15/5
= [tex]\sqrt[3]{27}[/tex]
= 1.5*2
= 3/1
= 3*1
= 3¹
= 1/3⁻¹
= 3⁴ / 3³
= 3⁵ * 3⁻⁴
If the lengths of the legs of a right triangle are 3 and √10, what is the length of the hypotenuse?
Answer:
[tex]\sqrt{19}[/tex]
Step-by-step explanation:
We can use the pythagoren theorm (A^2 + B^2 = C^2) for right triangles, C being the hypotenuse.
3^2 + 10 = C^2
19 = C^2
C = [tex]\sqrt{19}[/tex]
The required length of the hypotenuse of triangle is √19.
Legs of right angle triangle is √10 and 3. Hypotenuse to be determine.
Legs in right triangle refers to the perpendicular and base.
Hypotenuse = [tex]\sqrt{perpendicular^2+base^2}[/tex]
= [tex]\sqrt{3^2+\sqrt{10}^2 }[/tex]
= [tex]\sqrt{19}[/tex]
Thus, the required length of the hypotenuse of triangle is √19.
Learn more about legs in triangle here:
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Arnold made the following grades on his quizzes and assignments: 80, 92, 88, 90, 75, 38, 92, 95 2. Arnold wants to present his scores as advantageously as possible. Should he use the mean or the median of this data set? What other strategies could he employ to yield a more favorable measure of center?
Answer:
Step-by-step explanation:
If he were to find the mean then he would need to add all the numbers up and divide by the number of numbers. The answer of this would 69.1
If you find the median you would need to put the numbers in order,
2, 38, 75, 80, 88, 90, 92, 92, 95, then find the middle which would be 88.
So the better option would be finding the median. I think that this would be the best way to get the the most favorable measure of center.
I hope this helps.
help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help ill give brainly ;))
Answer:
See explanation
Step-by-step explanation:
a) 15:20 - 12:35 = 14:80 - 12:35 = 2 hours and 45 minutes
b) 13:05 - 10:15 = 12:65 - 10:15 = 2 hours and 50 minutes
c) 6:50 - 4:30 = 2 hours and 20 minutes
d) 1:15pm - 9:55am = 13:15 - 9:55 = 12:75 - 9:55 = 3 hours and 20 minutes
Answer:
a) 15:20 - 12:35 = 14:80 - 12:35 = 2 hours and 45 minutes
b) 13:05 - 10:15 = 12:65 - 10:15 = 2 hours and 50 minutes
c) 6:50 - 4:30 = 2 hours and 20 minutes
d) 1:15pm - 9:55am = 13:15 - 9:55 = 12:75 - 9:55 = 3 hours and 20 minutes
Step-by-step explanation:
Paul travels from Rye to Eston at an average speed of 90 km/h He travels for T hours.
Mary makes the same journey at an average speed of 70 km/h She travels for 1 hour longer than Paul.
Work out the value of T .
Answer:
3.5 hours
Step-by-step explanation:
Paul:
Speed = 90 km/hTime= T hoursDistance = 90T kmMary:
Speed = 70 km/hTime = T + 1 hoursDistance = 70(T+1) kmSince the distance is same, we have:
90T = 70(T+1)90T= 70T + 7090T - 70T = 7020T= 70T= 70/20T= 3.5 hoursAnswer: Paul's travel took 3.5 hours
The value of x in this system of equations is 1. 3x + y = 9 y = –4x + 10 Substitute the value of y in the first equation: Combine like terms: Apply the subtraction property of equality: Apply the division property of equality:
Answer:
X = 1
Step-by-step explanation:
To solve the system of equation by susbtitution:
3x + y = 9
y = –4x + 10
We can follow the steps thus:
Substitute the value of y in the first equation:
As in the second equation y = -4x + 10 we can substitute in the first equation as follows:
3x + y = 9
3x + -4x + 10 = 9
Combine like terms:
3x + -4x + 10 = 9
Like therms are the therms with X (3x - 4x = -1x):
-1x + 10 = 9
Apply the subtraction property of equality:
-1x + 10 = 9
As 10 is suming, it passes to subtracting the 9:
-1x = 9 - 10
-1x = -1
Apply the division property of equality:
-1x = -1
Dividing in -1:
x = -1 / -1
X = 1Answer:
b
Step-by-step explanation:
The value of x in this system of equations is 1.
3x + y = 9
y = –4x + 10
Substitute the value of y in the first equation:
Combine like terms:
Apply the subtraction property of equality:
Apply the division property of equality:
3x + (–4x + 10) = 9
–x + 10 = 9
–x = –1
x = 1
What is the value of y?
y =
I NEED HELP ANSWERING THESE QUESTIONS FIRST ANSWER GET BRAINLIEST!
Answer:
3 - b=12
4- b=14.1
Step-by-step explanation:
Area of the bookshelf=864 square inches
the book shelf is a rectangular prism
if we have height=4b, width=3b, length=b
then the area=length * width
A=(l*w)*2 ( we have 2 shelves)
864=(b*3b)*2
864=6b²
b²=864/6=144
b=√144= 12 inches
4- to cover the sides :
(height * length)*2 ( we have 2 sides)
(4b*b)×2=1600
8b²=1600
b²=1600/8=200
b=√200=14.1
Answer:
Question #3: b = 12 in
Question #4: b = 14.1 in
Step-by-step explanation:
Please see in the image attached the actual proportions that the furniture manufacturer uses to build the furniture in question:
Height = 4 b
Width = 3 b
Depth = b
So for question #3, given that the customer wants a total surface of the shaded shelves to be 864 [tex]in^2[/tex]
we can write that one wants twice the area of each rectangle of width 3 b and depth b to total 864:
[tex]2\,(3b\,*\,b)=864\\6 b^2=864\\b^2=864/6\\b^2=144\\b=12\,\,in[/tex]
Question # 4:
The total lateral surface to be covered by the silk is 1600 [tex]in^2[/tex], therefore if we consider the surface of each lateral plank as:
Area of each lateral plank :
[tex](4b)\,(b) = 4\,b^2[/tex]
Then twice these is: [tex]8\, b^2[/tex]
So we can solve for be requesting that these total surface equal the amount of silk:
[tex]8\,b^2=1600\\b^2=1600/8\\b^2=200\\b=\sqrt{200} \\b\approx 14.1421\,\,in[/tex]
which rounded to the nearest tenth of an inch gives:
[tex]b\approx 14.1\,\,in[/tex]
The circle shown below is a unit circle, where ∠a=π/3 and the radius of the circle is 1.
Answer:
Step-by-step explanation:
Jack bought a car for $50,000. He spent $5000 on repairs. He sold the car at a profit of $5000. At what price did he sell the car.
Answer:$60,000
Step-by-step explanation:
If he bought it for $50,000 and then spent $5,000 on repairs then he spent a total of $55,000. For a profit of $5,000 he would need to sell it for $60,000 Because
60,000 - 55,000 = 5,000
a broker gets rs 20000 as commission from sale of a piece of land which costs rs 8000000. Find the rate of commission.
Answer:
0.25%
Step-by-step explanation:
Rate of commission
= (commission*100)/cost of land
=( 20000*100)/8000000
= 2000000/8000000
=2/8
= 0.25%
7x-y= 22
4x + 2y = 10
can someone help plz?
Answer:
x = 3
y = -1
Step-by-step explanation:
Based on the fact that our have two variables and two equations, I'm going to assume you are trying to find the values of x and y.
For these two equations, let's first find the value of x using the equation elimination method.
We're going to eliminate the y variable by multiplying the first equation by 2 and then adding that new equation to the second equation.
7x - y = 22 ==> 14x - 2y = 44
4x + 2y + (14x - 2y) = 10 + (44)
18x + 0y = 54
x = 3
Now we plug the value of x back into one of the equations to find the value of y.
7x - y = 22
7(3) - y = 22
-y = 22 - 21
y = -1
So our values are as follows:
x = 3
y = -1
Cheers.
Find the value of x. A. -7 B. does not exist C. 35 D. 26
Answer:
C. 35
Step-by-step explanation:
x^2 + 12^2 = (x + 2)^2
x^2 + 144 = x^2 + 4x + 4
144 = 4x + 4
4x = 140
x = 35
Answer:
C
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem (a² + b² = c², in this case a = x, b = 12 and c = x + 2) to solve for x.
x² + 12² = (x + 2)²
x² + 144 = x² + 4x + 4
144 = 4x + 4
140 = 4x
x = 35
What the correct answer
Answer:
653.12 ft²
Step-by-step explanation:
2πrh + 2πr²
2(3.14)(8)(5) + 2(3.14)(8)²
251.2 + ²401.92 = 653.12
Step-by-step explanation:
Here,
radius of a cylinder (r)= 8 ft.
height (h)= 5 ft.
now,
area of a cylinder (a)= 2.pi.r(r+h)
now, putting the values we get,
a = 2×3.14×8(8+5)
after simplification we get,
Area of cylinder is 653.12 sq.ft.
Hope it helps....
The formula for centripetal acceleration, a, is given below, where v is the velocity of the object and r is the object's distance from the center of the circular path.
This is the same as writing v = sqrt(ar)
===========================================
Work Shown:
[tex]a = \frac{v^2}{r}\\\\ar = v^2\\\\v^2 = ar\\\\v = \sqrt{ar}\\\\[/tex]
I multiplied both sides by r to isolate the v^2 term, then I applied the square root to fully isolate v.
at the rate of 50 mph a car can travel 14.6 miles for each gallon of gas used. On a trip Mr. Hanson used 12.5 gallons of gas traveling at a speed of 50 mph. the number of miles covered during the trip was:
Answer:
182.5 miles in the rate of 50 mph.
Step-by-step explanation:
1 gallon = 14.6 miles in the rate of 50 mph
12.5 gallons = ?
12.5 × 14.6 = 182.5 miles in the rate of 50 mph.
The number of miles covered during the trip was 182.5 miles.
Given that, at the rate of 50 mph, a car can travel 14.6 miles for each gallon of gas used. On a trip, Mr Hanson used 12.5 gallons of gas travelling at a speed of 50 mph.
What is a unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, 1 gallon = 14.6 miles at the rate of 50 mph
12.5 × 14.6 = 182.5 miles in the rate of 50 mph.
Therefore, the number of miles covered during the trip was 182.5 miles.
To learn more about the unitary method visit:
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1. Given thatA={1,2,3,4,5} and B={3,5,10,11,12} and such that U= AUB. I) list down the elements of U,A' and A'UB'. ii) how many subsets do set A have?
Answer:
U = {1, 2, 3, 4, 5, 10, 11, 12}A' = {10, 11, 12}A'∪B' = {1, 2, 4, 10, 11, 12}A has 32 subsetsStep-by-step explanation:
i) The union of the two sets is the list of elements that are in either. Duplicates are listed only once.
U = {1, 2, 3, 4, 5, 10, 11, 12}
A' = U - A = {10, 11, 12}
A'∪B' = {10, 11, 12}∪{1, 2, 4} = {1, 2, 4, 10, 11, 12}
__
ii) A has 5 elements, so has 2^5 = 32 subsets, including the empty set and the whole set.
Someone pls help thank you sm ..
Answer:
15 lawns
Step-by-step explanation:
The Xbox costs $400 and his parents gave him $100. He needs to earn $300 more. $20 each lawn so $100 for 5 lawns. 5 lawns times three.
Xbox cost =400
Daniel's money =100
Xbox cost - Daniel money=300
yard cost =20
therefore 400 -100 /20
Daniel's need 15 yards to get the xbox
What is equivalent to 9 3/4?
The answer is supposedly is 3 square root 3, but how is that the answer? can someone tell me the steps?
Step-by-step explanation:
We need to say that [tex]9^{3/4}[/tex] is equivalent to what.
We know that, (3)² = 9
So,
[tex]9^{3/4}=((3)^2)^{3/4}\\\\=3^{3/2}[/tex]
We can write [tex]3^{3/2} =3\times 3^{1/2}[/tex]
And [tex]3^{1/2}=\sqrt{3}[/tex]
So,
[tex]3\times 3^{1/2}=3\sqrt{3}[/tex]
So, [tex]9^{3/4}[/tex] is equivalent to [tex]3\sqrt{3}[/tex].
Hence, this is the required solution.
Which of the functions below is not exponential or logarithmic?
Answer:
f(x) = 5x² + 3
Step-by-step explanation:
Exponential Function: [tex]a(b)^x+c[/tex]
Logarithmic Function: [tex]alog_bx+c[/tex]
5x² + 3 is a quadratic function. Therefore, it is not an exponential or logarithmic function and is incorrect.
log₅x is a logarithmic function. Therefore, it is correct.
5log₃x + 3 is a logarithmic function. Therefore, it is correct.
5ˣ + 3 is an exponential function. Therefore it is correct.
find the exterior angle of a triangle whose interior opposite angles are 43 degree and 27 degree
Answer:
[tex]\huge\boxed{Exterior\ angle = 70\°}[/tex]
Step-by-step explanation:
The measure of exterior angle is equal to the sum of opposite interior angles.
So,
Exterior angle = 43+27
Exterior angle = 70°
Which measurement is equal to 6 kilograms?
Answer:
6000 metres is equal to 6 kilograms
A rectangular solid and a cube are of equal volume. If the rectangular solid is 20 centimeters long, 5 centimeters wide, and 10 centimeters high, what is the length, in centimeters, of an edge of the cube?
Answer:
10 centimeters.
Step-by-step explanation:
First, we need to remember what's the formula to get the volume of a rectangular solid and a cube.
The volume of the first equals:
Volume = Length x Width x Height
While the volume of the cube is:
[tex]Volume = a^{3}[/tex] where a is the edge.
We are given the measures of the rectangular solid so we can calculate its volume:
[tex]Volume= (20)(5)(10)=1000[/tex] cubic cms.
Now, we know that both the volume of the rectangular solid and the cube are the same so we will use this information to calculate the edge of the cube.
[tex]1000=a^3 \\\sqrt[3]{1000} =\sqrt[3]{a^3} \\10=a[/tex]
Thus the length of an edge of the cube is 10 centimeters