Answer:
The measure of exterior angle of regular octagon is 45°
Step-by-step explanation:
Given the regular octagon we have to find the measure of exterior angle of regular octagon.
The formula to find the measure of exterior angle of regular octagon is
[tex]\frac{360}{n}[/tex]
where n is number of sides.
Number of sides in octagon=8 sides
Hence, the measure of exterior angle is
[tex]\frac{360}{8}=45^\circ}[/tex]
The measure of arc XYZ is 296 degrees. What is the measure of angle XZW, the tangent-chord angle?
A: 296
B:148
C:116
D:206
Factor 5k 2 - 35k 3.
A. 5k2(1 - 7k)
B. 5k3(1 - 7k)
C. 5k(1 - 7k2)
Answer:
The correct answer is A) 5k^2(1 - 7k)
Step-by-step explanation:
To factor, take out the greatest common multiple. Each term has a factor of 5 that can be taken out as a constant and k^2 as a variable. Take both of these out and divide each term by that expression.
5k^2(1 - 7k)
its A) 5k^2(1 - 7k) :)
Select the postulate or theorem that you can use to conclude that triangles are similar.
Answer:
AA similarity postulate.
Step-by-step explanation:
Two triangles which are of same shape are called similar triangles.
In the given triangles two angles are marked 90 degrees and another pair of angles are marked the same that is equal.
In the given figure:
m∠P==m∠L=90°
m∠J=m∠M.
Two angles are equal .
The AA similarity postulate states: if two pairs of corresponding angles are congruent, then the triangles are similar .
Answer :AA similarity postulate.
Answer:
AA
Step-by-step explanation:
A certain forest covers an area of 3900 km2 . suppose that each year this area decreases by 8% . what will the area be after 10 years? use the calculator provided and round your answer to the nearest square kilometer.
A = P(1-r)^t
A = 3900(1-0.08)^10
A = 3900(0.92)^10
A = 3900(0.434388454)
A = 1694.11
1694 square km
The area of the trapezoid is 40 square units.
What is the height of the trapezoid? __ Units
we know that
The area of a trapezoid is equal to
[tex]A=\frac{1}{2}(b1+b2)h[/tex]
where
b1 and b2 are the parallel bases of the trapezoid
h is the height of the trapezoid
In this problem we have
[tex]b1=6\ units\\b2=10\ units\\A=40\ units^{2}[/tex]
substitute in the formula
[tex]40=\frac{1}{2}(6+10)h[/tex]
Solve for h
[tex]40*2=16h[/tex]
[tex]h=80/16=5\ units[/tex]
therefore
the answer is
The height of the trapezoid is [tex]5\ units[/tex]
The sum of a certain number and 3 times the number is 40. what is the number?
The value of x is 10 if the sum of a certain number and 3 times the number is 40 and the equation will be 3x + x = 40.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The sum of a certain number and 3 times the number is 40
Let the number is x
From the question, we can frame a linear equation in one variable
3x + x = 40
Adding like terms:
4x = 40
Divide by 4 into both sides
x = 40/4
x = 10
Thus, the value of x is 10 if the sum of a certain number and 3 times the number is 40 and the equation will be 3x + x = 40.
Learn more about the linear equation here:
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Find the area of the quadrilateral in the figure
In the given figure the area of quadrilateral is 19.64 square units.
Option (C) is correct.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180.
In the given figure,
A quadrilateral is shown.
The quadrilateral can be seen as two triangles,
One triangle whose sides are 6, 6 and 5
And second triangle whose sides are 3, 4, and 5.
In first triangle, use Heron's formula to find the area,
The area of triangle = √ S.(S- a).(S -b).(S-c)
The semi perimeter of triangle = 6 + 6 +5 / 2 = 17 / 2 = 8.5
Area = √ 8.5 x (8.5 - 6) x (8.5 - 6) x (8.5 - 5)
= √8.5 x 2.5 x 2.5 x 3.5
= 13.635
The second triangle whose side are 3, 4 and 5, makes a right angle.
The area of second triangle = 1/2 x base x height = 1/2 x 4 x 3 = 6
Total area = 13.635 6 + 6 = 19.635
The required area of quadrilateral is 19.635 square units.
To know more about Triangle on:
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if the measure of angle 1 is (3x-4)° and the meadure of angle 2 is (4x+10)° what is the measure of angle 2 in degrees?
Answer:
The measure of ∠ 2 in 58° .
Step-by-step explanation:
As given
if the measure of ∠ 1 is (3x-4)° and the measure of ∠ 2 is (4x+10)° .
As shown in the picture given in the question
90° + ∠1 + ∠2 = 180°
(By linear pair property)
Put the value of ∠1 and ∠2 in the above
90° + (3x -4)° + (4x+10)°= 180°
90 + 3x -4 + 4x + 10 = 180
7x + 6 = 180 - 90
7x + 6 = 90
7x = 90 -6
7x = 84
[tex]x = \frac{84}{7}[/tex]
x = 12
Put the value of x in the (4x+10)° .
∠2 = (4 × 12 + 10)°
∠2 = 58°
Therefore the measure of ∠ 2 in 58° .
Laura is now trying to come up with a number where three less than 8 times the number is equal to half of 16 times the umber after it was increased by 1
Is the number of free dash throw attempts before the first shot is missed number of free-throw attempts before the first shot is missed a discrete random variable, continuous random variable, or not a random variable?
Answer:
:)
Step-by-step explanation:
Choose one of the factors of x3 + 343
Best explained and correct answer gets brainliest.
value = 45 x (1+0.015)^15
45 x 1.015^15=
45 * 1.25 = 56.26
answer is B $56.26
Which of the following could not be a value of n? side lengths of 9 and 13
a. 7
b.10
c. 13
d. 22
If f(x) = ∣(x2 − 8)∣, how many numbers in the interval 0 ≤ x ≤ 2.5 satisfy the conclusion of the mean value theorem?
First let us find the slope of the straight line formed when x1 = 0 to x2 = 2.5.
y = x^2 – 8
y1 = 0^2 – 8 = - 8
y2 = 2.5^2 – 8 = -1.75
The formula for finding the slope is:
m = (y2 – y1) / (x2 – x1)
m = (-1.75- (- 8)) / (2.5 – 0)
m = 2.5
The mean value theorem states that the slope must be 2.5 at least once between x1 = 0 to x2 = 2.5.
Taking the 1st derivative (slope) of the equation:
dy / dx = 2x
Since dy / dx = m = 2.5
2x = 2.5
x = 1.25
Therefore the answer is: One number at x = 1.25
Find the circumference of a pizza if the diameter is 10 inches.
0.314 in.
3.14 in.
3.04 in.
31.4 in.
Answer: 31.4 in.
Step-by-step explanation:
We know that the circumference of the circle is given by :-
[tex]C=\pi d[/tex], where d is the diameter of the circle.
Given : The diameter of the pizza = 10 inches
Then the circumference of the pizza will be :-
[tex]C=\pi (10)[/tex]
We put the value of [tex]\pi =3.14[/tex], we get
[tex]C=3.14 (10)=31.4[/tex]
Hence, the circumference of a pizza is 31.4 in.
AB=diameter of the circle O. OC=radius. Arc AXB is an arc of the circle with centre C. Prove areas of the shaded region are =
What is the surface area of a cone with a diameter of 28 cm. and height 22 cm in terms of Ï.
196Ï cm2
365Ï cm2
561.1Ï cm2
2202.8Ï cm2
To find the surface area of a cone, use this formula.
pi (r) (r + [square root of h^2 plus r^2] ) substitute
h = height = 22 r = radius = 28/2 = 14 [ ] = sq. root
pi (14) (14 + [ 22^2 + 14^2 ]) solve exponents
pi (14) (14 + [484 + 196]) add
pi (14) (14 + [680]) solve square root
pi (14) (14 + 2[170]) add
pi (14) (40.0768) multiply
pi (561.075) is about 561.1 rounded to nearest tenth
So the answer is C. 561.1pi cm^2
a rectangle has an area of 12m and a width of 400cm. what is the length?
Name all sets of numbers to which each real number belongs
If AB is the midsegment, find the value of x. Show your work.
3x-1=34/2
=17
3x =18, x =6
Which equation represents the vertical asymptote of the graph?
In this question, with the help of the graph we have to find the vertical asymptote .
First let's check out what is vertical asymptote .
Vertical asymptotes are straight lines of the equation , toward which a function f(x) approaches infinitesimally closely, but never reaches the line.
And in the graph, the function approaches to 12 but never touches it .
So the vertical asymptote is x=12 .
The equation which represents the vertical asymptote of the graph given is; x =12.
The Vertical Asymptote of a graphThe vertical asymptote of a graph is simply a vertical line on the x-axis to which the graph of a function approaches but never touches.
By observation, the line x=12 separates the curves and both curves do not touch the line.
Ultimately, the line x=12 is the vertical asymptote of the given graph.Read more on vertical asymptote;
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Take a look at the table of possible outcomes when a pair of fair dice is rolled. What is the probability that the sum of the numbers rolled is either even or a multiple of 5?
Answer:
He is correct
Step-by-step explanation:
What is the value of y in the product of powers below?
when multiplying you add the powers
3 +-5 = -2 so the power for y = 0
Write equations for the vertical and horizontal lines passing through the point (8, 7).
The diagonals of a parallelogram are 12 meters and 20 meters and intersect at an angle of 60°. find the length of the longer side.
Final answer:
To find the length of the longer side of the parallelogram, you can use the law of cosines.
Explanation:
To find the length of the longer side of the parallelogram, we can use the law of cosines. The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of the lengths of those two sides and the cosine of the included angle.
In this case, one of the diagonals is 12 meters and the other is 20 meters. The included angle is 60°.
Letting 'a' be the length of the longer side, we can set up the equation:
a^2 = 12^2 + 20^2 - 2(12)(20)cos(60°)= 304
a=17.43
The formula for the volume of a pyramid is V=13BhV=13Bh, where B is the area of the base and h is the height. Rearrange the formula to solve for the height (h).
h=B3Vh=B3V
h=V3Bh=V3B
h=3VBh=3VB
h=3BV
To solve for the height h in the volume formula V = 1/3Bh for a pyramid, the formula needs to be rearranged to h = 3V/B by first multiplying both sides by 3 and then dividing by B.
The formula for the volume of a pyramid is V = 1/3Bh, where B is the area of the base and h is the height. To solve for the height, h, we need to rearrange the formula.
Starting with V = 1/3Bh, we want to isolate h:
Multiply both sides of the equation by 3 to cancel out the fraction: 3V = Bh.
Next, divide both sides by B to solve for h: h = 3V/B.
The correct formula to solve for height is h = 3V/B.
Which of the following are binomials. (more than one answer)
A. x^11
B. 8x
C. x^2+3
D. x^4+x^2+1
E. 5/7y^3+5y^2+y
F. 6x^2+1/2y^2
its C) x^2+3 and F) 6x^2+1/2y^2 on apex
Abdul put gas in his car. He paid $18.32 for 8 gallons of gas. What is the unit price?
Find the sum of the solutions of this equation 20x^2-39x-80=0
9.1 ÷ 3576 long division
Answer: the answer is 0.00254474272
goooood luck