Answer:
-17 < g [tex]\leq[/tex] 8
Step-by-step explanation:
'g' is within the range of numbers that are greater than -17 and less than or equal to 8. we know that it is less than or equal to because the circle is closed or filled in, at 8.
What is the measure of an interior angle in a regular octagon
Answer:
I think the sum of the measures of the interior angles of an octagon =(8−2)180° . The sum of the measures of the interior angles of an octagon is 1080° .
I hope this help!:)
Answer:
[tex]135^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles of a polygon with [tex]n[/tex] sides is equal to [tex](n-2)180[/tex]. Since an octagon has 8 sides, the sum of its interior angles is equal to:
[tex](8-2)180=6\cdot 180=1,080^{\circ}[/tex]
By definition, a regular polygon is a polygon with equal sides and angles. An octagon has 8 sides and 8 angles. Therefore, a each interior angle of a regular octagon must be equal to:
[tex]\frac{1,080}{8}=\boxed{135^{\circ}}[/tex]
Betty rolled a fair number cube and a fair game die with eight sides numbered 1 through 8. What is the probability of getting an odd number on both?
Answer:
4/8 or 1/2
Step-by-step explanation:
Kasey has three pieces of wood that measure 9 inches, 12 inches, and 21 inches. Can she make a right triangle
with the three pieces of wood (without cutting or overlapping)?
Answer: No
Step-by-step explanation:
Add 2 sides together. If the sum of greater than the length of the 3rd side for all 3 options it can form a right triangle if it doesn’t than it can’t:
9 + 12 = 21 which is not greater than the 3rd side length of 21 so this cannot form a right triangle.
Which proportion would you use to find what number 15 is 30% of?
A: n/100 = 15/30
B: n/100 = 30/15
C: 30/100 = n/15
D: 30/100 = 15/n
Answer:
A: n/100 = 15/30 is the correct option
Please help me find the y-intercept
Answer:
The y intercept is (0,-1)
Step-by-step explanation:
To find the y intercept, let x = 0
y = -x^2 -6x-1
y = -0^2-6(0) -1
y = -1
The y intercept is (0,-1)
Find the distance between the two points rounding to the nearest tenth (if necessary). ( − 8 , 6 ) and ( − 6 , 0 )
Answer:
[tex]\sqrt{40\\}[/tex], [tex]2\sqrt{10}[/tex], or 6.3 (rounded).
Step-by-step explanation:
Use the distance formula, [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2} \\x_1 is -8, y_1 is 6, x_2 is -6, y_2 is 0.[/tex]
What type of graph can show positive correlation, negative correlation, or no correlation?
Answer:
A scatter plot can show a positive relationship, a negative relationship, or no relationship. If the points on the scatter plot seem to form a line that slants up from left to right, there is a positive relationship or positive correlation between the variables.
Please help me find this box guys I’m struggling
Answer:
(0,-9)
Step-by-step explanation:
To find the y-intercept, substitute x=0
y=(0)^2+4(0)-9
=-9
Here's a tip to help you find the y-intercept faster, it is usually the constant of the graph equation
Answer:
see explanation
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
The equation of the axis of symmetry which is also the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = x² + 4x - 9 ← is in standard form
with a = 1, b = 4 , then
x = - [tex]\frac{4}{2}[/tex] = - 2
x = - 2 is the equation of the axis of symmetry
Substitute x = - 2 into the equation for corresponding y- coordinate of vertex
y = (- 2)² + 4(- 2) - 9 = 4 - 8 - 9 = - 13
vertex = (- 2, - 13 )
To find the y- intercept let x = 0 and solve for y
y = 0² + 4(0) - 9 = 0 + 0 - 9 = - 9
y- intercept = (0, - 9)
From the standard form of the parabola
• If a > 0 then vertex is a minimum
• If a < 0 then vertex is a maximum
Here a = 1 , that is > 0
vertex (- 2, - 13 ) is a minimum
Which expression is equivalent to 2(a+2b)-a-2b
o 3a+2b
o 3a-2b
o a-2b
Answer:
a -2b
Step-by-step explanation:
2(a+2b)-a-2b
Distribute
2a+4b -a-2b
Combine like terms
a -2b
I NEED HELP PLEASE
directions:Work and Solution
Answer:
2(x + 4) / 6(x² - 3x - 28)
Step-by-step explanation:
Area of a rectangle = length × width
Length = 2/(x² - 3x - 28)
Width = x² - 16/6x - 24
= (x + 4)(x - 4) / 6(x - 4)
= (x + 4) / 6
Area of a rectangle = length × width
= 2/(x² - 3x - 28) × (x + 4) / 6
= 2(x + 4) / (x² - 3x - 28)6
= 2(x + 4) / 6x² - 18x - 168
= 2(x + 4) / 6(x² - 3x - 28)
Area of a rectangle =
2(x + 4) / 6(x² - 3x - 28)
When each edge of a cube is increased by 50%, by what percent is the surface area of the cube increased?
Answer:
125 % increase
Step-by-step explanation:
assume a cube of side 10
then each side surface area = 100 * 6 = 600 units
now consider sides 15 (+50%)
each side = 225 .... 225 * 6 = 1350
(1350 - 600)/600 = 1.25 = 125 % increase
for 10 points Valerie set out to bicycle from TBLS to the beach, a distance of 10 miles. After going a short
while at 15 miles per hour, the bike developed a flat tire, and the trip had to be given up. The
walk back to TBLS was made at a dejected 3 miles per hour. The whole episode took 48
minutes. How many miles from TBLS did the flat occur?
Answer:
2 miles
Step-by-step explanation:
Given that :
Total distance = 10 miles
Distance = speed * time
Let distance from TBLS to flat Tyre spot = d
Time = distance / speed
Since the distance to and distance fro took a total of 48 minutes;
Hence ;
d/15 + d/3 = 48 minutes
48 minutes = 48/60 = 0.8 hours
d/15 + d/3 = 0.8
(d + 5d) / 15 = 0.8
d + 5d = 15 * 0.8
6d = 12
d = 12 / 6
d = 2 miles
Distance from TBLS to point bicycle had flat tyre is 2 miles
Needing a little help
The speed of a toy car is 20 m/s. The time taken for a trip is 200seconds. Find the
distance covered in meter
Distance = time/ speed
Distance = 200 seconds / 20 m/s
Distance = 10 meters
Answer:
Distance:
[tex]{ \tt{distance = speed \times time}} \\ { \tt{ = 20 \times 200}} \\ { \tt{ = 4000 \: metres}}[/tex]
Please guys help me!!
Answer:
[tex](dimond):13/52=1/4[/tex]
[tex](spade):13/52=1/4[/tex]
[tex](\frac{1}{4} )(\frac{1}{4} )=\frac{1}{16} \hookleftarrow[/tex]
OAmalOHopeO
Find the surface area and the volume of the prism.
10
26
18
The cars of a circular Ferris wheel at an amusement park are equally spaced about the wheel's circumference. They are numbered consecutively beginning with 1. The cars numbered 14 and 30 lie on opposite ends of a diameter. How many cars are on the Ferris wheel?
Answer:
32 cars
Step-by-step explanation:
we know that 14 and 30 lie on opposite sides of the ferris wheel, so we need to calculate how many cars are inbetween car number 14 and carn number 30. since each car is numbered starting from 1, we know that the cars do not skip any numbers. after counting, we know that there are 16 cars inbetween car number 14 and car number 30. since there are 2 sides of a circle we have to double our number by 2. so 16×2 is 32
Math step-by-step:
30-14=16
16×2=32
Match each cone's measures to its corresponding volume.
Answer:
base area=16π in² height=6 in ⇒ base area= πr²
16π²=π(r)²
r=4 in
v=1/3 ×π (4)²×(6)
v=32π in²
-------------
v=1/3 π(12/2)²×5
v=1/3π(31)×5=
v=60π in³
-------------
v=1/3 π×(25×4)=
v=100π/3 in³
OAmalOHopeO
plzzz helppp i need to pass this classs
Answer:
C
Step-by-step explanation:
x + 40 + 100 + x=360. (sum of angles at a point)
2x+140=360
2x=360-140
2x=220
x=220/2
x=110⁰
Enter the equation of the line in slope-intercept form.
Slope is 4, and (5,2) is on the line.
The equation of the line is y =
Answer:
y = 4x -18
Step-by-step explanation:
y-2 = 4(x-5)
y = 4x -20+2
y = 4x -18
Answer:
y = 4x-18
Step-by-step explanation:
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = 4x+b
Substitute the point in the equation and solve for b
2 = 4(5)+b
2 = 20+b
2-20 = b
-18 =b
y = 4x-18
PERE
Given: ZABC is a right angle and ZDEF is a right angle.
Prove: All right angles are congruent by showing that ZABC = ZDEF.
What are the missing reasons in the steps of the proof?
ZABC, ZDEF are
right angles
M2ABC = 90°
m2DEF = 90°
m2ABC = m_DEF
ZABC = ZDEF
Given
A
B
A:
B:
C:
Intro
Answers:
A) Definition of right anglesB) SubstitutionC) Definition of congruence=========================================
Explanation:
A) The term "right angle" is another way of saying "90 degree angle". This is a definition. Think of a definition in a dictionary. B) The substitution property allows us to replace one thing for another, as long as the two things are equal. The transitive property works as a similar idea.C) If two angles have the same measure, then they are congruent. This is the definition of congruence (or one form of it).In this exercise we have to use the knowledge of angles, in this way we can say that:
A) Right angles
B) Substitution
C) Congruence
So punctuating some necessary definitions we have that:
A) This alternative is a right angle, that is, an angle that has 90 degrees.
B) The substitution property allows us to replace one thing for another, as long as the two things are equal.
C) IIn this alternative, we are dealing with congruent angles, that is, angles that have the same measure, normally less than 90 degrees.
See more about angles at brainly.com/question/15767203
the area of a rectangle is given by 6x²+19x+15. factor to find binomial that represent the length and width of the rectangle.
Answer:Explanation:
Step-by-step explanation:Explanation:
We have that
6
x
2
+
19
x
+
15
=
6
x
2
+
10
x
+
9
x
+
15
=
2
x
⋅
(
3
x
+
5
)
+
3
⋅
(
3
x
+
5
)
=
(
2
x
+
3
)
⋅
(
3
x
+
5
)
Answer:
Step-by-step explanation:
6x² + 19 x +15 can be factor as (x-root1 )( x-root2)* coefficient of x²
use quadratic equation to fid the roots, x = (-b±√b²-4ac)/2a
6x² + 19 x +15 =0
x= (-19 ±√19²-4*6*15) / 2*6
x= (-19 ± √1)/ 12
x= (-19+ 1)/12 = -18/12 = -3/2
and
x= (-19-1)/12 = -20/12 = -5/3
6x² + 19 x +15 = 6*(x+(3/2)) (x+(5/3))
the length and with of the rectangle could be any combination of the factors of 6 and the (x+(3/2)) (x+(5/3))
if we consider 6 =2*3 we have length and width 2x+3 and 3x+5
because 2*[x+(3/2)]*3[ x+(5/3)]
if we consider 6 = 3*2 we have length and width 3x+(9/2) and 2x+(10/3)
because 3*[x+(3/2)]*2[ x+(5/3)]
if we consider 6= 6*1 we have length and width 6x+9 and x+(5/3)
because 6*[x+(3/2)]*1[ x+(5/3)]
if we consider 6= 1*6 we have length and width x+(3/2) and 6x+10
because 1*[x+(3/2)]*6[ x+(5/3)]
Jeffrey was feeling adventurous at lunch. Rather than choosing a single drink, he decided to mix together all the drink choices. He mixed an equal amount of 7 types of soda to fill his 12-ounce cup to the brim! How many ounces of each type of soda did Jeffrey get?
Pages 1 - 5:
Suppose f(x) = 6x-2 and g(x) = 2x+4 . Find each of the following functions.
a. (f +9)(x)
b. (f-9))
Answer:
8x + 2 and 4x - 6
Step-by-step explanation:
(f + g)(x)
= f(x + g(x)
= 6x - 2 + 2x + 4 ← collect like terms
= 8x + 2
(b)
(f - g)(x)
= f(x) - g(x)
= 6x - 2 - (2x + 4) ← distribute parenthesis by - 1
= 6x - 2 - 2x - 4 ← collect like terms
= 4x - 6
12 120° 3 3 Fig. 12.51 Calculate the area of the shaded segment in Fig. 12.51. (Leave your answer in terms of .) [JAMB]
Answer:
[tex]\text {The \ area \ of \ the \ shaded \ segment, A} = 3 \cdot \pi - \dfrac{9}{4} \cdot \sqrt{3}[/tex]
Step-by-step explanation:
The details of the circle that has the shaded segment, and the segment are;
The radius of the circle, r = 3
The angle of the arc of the segment, θ = 120°
The area of a segment, A, is given as follows;
[tex]A = \dfrac{\theta}{360^{\circ}} \times \pi \times r^2 - \dfrac{1}{2} \times r^2 \times sin(\theta)[/tex]
The area of the given segment is therefore;
[tex]A = \dfrac{120^{\circ}}{360^{\circ}} \times \pi \times 3^2 - \dfrac{1}{2} \times 3^2 \times sin(120^{\circ}) = \dfrac{12\cdot \pi-9\cdot \sqrt{3} }{4} = 3\cdot \pi - (9/4)\cdot \sqrt{3}[/tex]
CANNNN SOMEONEEEEE HELPPPP MEEE OUTTTTT !!!!!
Answer:
sin X = 21/ 29
Step-by-step explanation:
Since this is a right triangle
sin X = opp side/ hypotenuse
sin X = 21/ 29
Answer:
[tex]\boxed{\sf sinX =\frac{21}{29}}[/tex]
Step-by-step explanation:
We need to find out the value of sinX using the given triangle . Here we can see that the sides of the triangle are 21 , 29 and 20.
We know that the ratio of sine is perpendicular to hypontenuse .
[tex]\sf\longrightarrow sin\theta =\dfrac{ perpendicular}{hypontenuse}[/tex]
Here we can see that the side opposite to angle X is 21 , therefore the perpendicular of the triangle is 21. And the side opposite to 90° angle is 29 . So it's the hypontenuse . On using the ratio of sine ,
[tex]\sf\longrightarrow sinX =\dfrac{ p}{h}=\dfrac{ZY}{ZX}[/tex]
Substitute the respective values ,
[tex]\sf\longrightarrow \boxed{\blue{\sf sin\ X =\dfrac{21}{29}}}[/tex]
Hence the required answer is 21/29 .
The width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.
Answer:
Step-by-step explanation:
I answered this in your question from yesterday. See #24317186
Given that
4
x
:
3
=
6
:
5
Calculate the value of
x
Answer:
Step-by-step explanation:
4x = 6/5 * 3
4x = 18/5
x = 18/5*4 = 9 / 10 = 0.9 Ans.
Answer:
0.9 I hope it help you to do this question
Mr. James asked his students that which of the following equations can be formed using the expression x = 5:
a)2 x + 3 = 13
b)3x + 2 = 13
c)x –5 =
1d)4x –9 = 21
Answer:
[tex]2x + 3 = 13 \\ 2 \times 5 + 3 = 15 \\ 10 + 13 = 15 \\ 23 = 15 \\ 23 - 15 = 8 \\ \\ 3x + 2 = 13 \\ 3 \times 5 + 2 = 13 \\ 15 + 2 = 13 \\ 17 - 13 \\ = 4 \\ \\ x - 5 = 0 \\ 5 - 5 = 0 \\ 0 = 0 \\ \\ 4x - 9 = 21 \\ 4 \times 5 - 9 = 21 \\ 20 - 9 = 21 \\ 21 - 11 \\ = 10[/tex]
Is the relationship shown by the data linear? If so, model the data with an equation. x y –7 5 –5 9 –3 13 –1 17
Given:
The table of values is:
x : -7 -5 -3 -1
y : 5 9 13 17
To find:
Whether the given data is linear and then find the equation.
Solution:
The given data is linear if the slope and rate of change is constant.
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using the slope formula. we get
[tex]\dfrac{9-5}{-5-(-7)}=2[/tex]
[tex]\dfrac{13-9}{-3-(-5)}=2[/tex]
[tex]\dfrac{17-13}{-1-(-3)}=2[/tex]
Since the rate of change is constant, i.e., 2, therefore the given data is linear.
The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=2(x-(-7))[/tex]
[tex]y-5=2(x+7)[/tex]
[tex]y-5=2x+14[/tex]
Adding 5 on both sides, we get
[tex]y-5+5=2x+14+5[/tex]
[tex]y=2x+19[/tex]
Therefore, the equation for the given data is [tex]y=2x+19[/tex].
