Answer:
x = 83
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360
75+x+97+105 = 360
Combine like terms
x+277=360
Subtract 277 from each side
x+277-277=360-277
x = 83
The point (3,-7) lies on a circle and the center of the circle is at (-2,-7). What is the equation of this circle
Step-by-step explanation:
the answer is in the above image
Which sequence is arithmetic? A- 2,6,18,54... B- 3,6,12,24... C- 11,14,17,20... D- 7,11,13,18
I think B. 3,6,12,24 is the answer
Answer:
C
Step-by-step explanation:
the pattern is add 3
11 + 3 = 14
14 + 3 = 17
17 + 3 = 20
Which of the two data sets shown in the box
plots below has the greater mean?
Answer:
Step-by-step explanation:
Remember that the mean is average
Ex. Set A
Add then divide by the 8
A school bus is transporting athletes home from an athletics meeting. Of these athletes, 15% took part in hurdles, 20% took part in the long jump event, 35% took part in the relay races, 30% ran the 100m sprint and 25% took part in the high jump event.
Explain how this is possible.
Because some of the athletes participated in more than one event.
According to exponent rules, when we multiply two power with the same base we _______ the exponents. Example: c^6⋅ c^4
Answer:
Step-by-step explanation:
According to exponent rules, when we multiply two power with the same base we ADD the exponents.
[tex]c^{6}*c^{4} = c^{6+4} = c^{10}[/tex]
What is the Order of Magnitude of the number of pennies equivalent to a quarter?
Answer:
It is mainly used while doing scientific notation. If two numbers differ by one order of magnitude, one is about ten times larger than the other. If they differ by two orders of magnitude, they differ by a factor of about 100.A quarter is 0.25 dollars so the ratio between 1 dollar and a quarter is 1/0.25(it means the dollar and the quarter which is 0.25 dollars) and that equals =4
Write an equation of the parabola that passes through the point (46, - 150) and has x-intercepts - 4 and 56 . Then find the average rate of change from x= -4 to x=6.
An equation is y =
The average rate of change is
Answer:
6w83ywytahausjsshshfwgwyee
Pls answer both Pls pls
Answer:
bjkfkvdvdejij
Step-by-step explanation:
22333444 ijdcijsivjdivdvndk snciscicicnlvjavjadvj
Solve the following system graphically.
y < - x
y =< x - 2
Upload one solution of the system and your graph
Answer:
a solution of the system is the point that satisfies both the equations
(1, -1) is a solution of the system
what is the value of w to the nearest degree
what is the total cost for an item that costs $140.00 and has a sales tax rate of 7.5%
Answer:
$150.5
Step-by-step explanation:
CP of an item = $140
sales tax rate = 7.5%
sales tax amount = sales tax rate of CP
=7.5% of CP
= 7.5/100 * $140
=$1050/100
=$10.5
total cost with tax = CP + tax rate
=$140 + $10.5
=$150.5
Jason and Donny painted a house and received $1.200. To complete the painting job Jason painted 4 hours 25 minutes and Donny spent 2 hours and 15 minutes. If they split the $1.200 in proportion to the amount of time each spent painting, how much did Donny receive?
Answer:
$405
Step-by-step explanation:
Total hours = 4 hrs 25 min + 2 hrs 15 min = 6 hrs 40 min = 400 min
4 hrs 25 min = 265 minutes
2 hrs 15 min = 135 min
Donny's share = [tex]\frac{135}{400} of 1200[/tex]
[tex]=\frac{135}{400}*1200=135*3\\\\= 405[/tex]
The point (5,-12) lies on the terminal side of an angel theta in standard position. Find the exact value of cot theta. Express the answer as a fraction reduced to the lowest term
Answer:
[tex]cot\theta=-\frac{5}{12}[/tex]
Step-by-step explanation:
We are given that the point (5,-12) lies on the terminal side of an angle theta in standard position.
We have to find the exact value of [tex]cot\theta[/tex].
Let
Point (x,y)=(5,-12)
[tex]r=\sqrt{x^2+y^2}[/tex]
Substitute the values
[tex]r=\sqrt{5^2+(-12)^2}[/tex]
[tex]r=\sqrt{169}=13[/tex]
We know that
[tex]cot\theta=\frac{x}{y}[/tex]
Using values
[tex]cot\theta=-\frac{5}{12}[/tex]
expand (y+1)(y-4) !!!!!!
Answer:
Step-by-step explanation:
y^2 - 4y + y - 4
y^2 - 3y - 4
What is the slope-intercept form of the equation representing this function?
Answer:
y = 3x - 7
Step-by-step explanation:
The line rises 3 in y for every run of 1 in x
slope = 3
The y-intercept
is -7
Therefor
y = 3x - 7
Can someone check tell me why 1) is correct and why 2) is incorrect?!
Willing to give brainliest
Answer:
1) yes
2) no
Step-by-step explanation:
1)
[tex]\frac{1}{2} *\frac{2}{2}=\frac{2}{4}[/tex]
This is correct because 1 time 2 equals 2 and 2 times 2 equals 4.
2)
[tex]\frac{1}{2} * \frac{?}{?}= \frac{4}{6}[/tex]
[tex]\frac{1}{2} *\frac{4}{3} =\frac{4}{6}[/tex]
This is incorrect because the numerator multiplied is different from the denominator multiplied.
-------------------------------
[tex]\frac{1}{2}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{4}{8}[/tex] = [tex]\frac{5}{10}[/tex] = [tex]\frac{6}{12}[/tex] ...
Sorry I didn't know how to explain that much but I hope you understand.
f(2) if f(x) = (x + 1)2.
Answer:
6
Step-by-step explanation:
f(2) = (2 + 1)2
(3)2
6
Answer:
6
Step-by-step explanation:
f(2) = (2+1)*2, f(2) = 3*2 = 6
Please help if you know how to solve it
Thank you!
Answer:
opsihsjijjakih
Step-by-step explanation:
jiompzjksuik
O is the centre of the circle, EF is a tangent, angle BCE = 28°, angle ACD = 31°
Line AB = line AC
Write down the size of
a) angle BAC
b) angle ABC
c) angle ADC
d) angle COB
Answer
a. 28˚
b. 76˚
c. 104˚
d. 56˚
Step-by-step explanation
Given,
∠BCE=28° ∠ACD=31° & line AB=AC .
According To the Question,
a. the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.(Alternate Segment Theorem) Thus, ∠BAC=28°b. We Know The Sum Of All Angles in a triangle is 180˚, 180°-∠CAB(28°)=152° and ΔABC is an isosceles triangle, So 152°/2=76˚
thus , ∠ABC=76° .
c. We know the Sum of all angles in a triangle is 180° and opposite angles in a cyclic quadrilateral(ABCD) add up to 180˚,Thus, ∠ACD + ∠ACB = 31° + 76° ⇔ 107°
Now, ∠DCB + ∠DAB = 180°(Cyclic Quadrilateral opposite angle)
∠DAB = 180° - 107° ⇔ 73°
& We Know, ∠DAC+∠CAB=∠DAB ⇔ ∠DAC = 73° - 28° ⇔ 45°
Now, In Triangle ADC Sum of angles in a triangle is 180°
∠ADC = 180° - (31° + 45°) ⇔ 104˚
d. ∠COB = 28°×2 ⇔ 56˚ , because With the Same Arc(CB) The Angle at circumference are half of the angle at the centre
For Diagram, Please Find in Attachment
A 95% confidence interval is (70,110). what is the margin for error? A. 19 B.38 C.20 D.40
Answer:
C.20
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the difference between the two bounds, divided by 2.
In this question:
Lower bound: 70
Upper bounf: 110
Margin of error:
[tex]M = \frac{110 - 70}{2} = \frac{40}{2} = 20[/tex]
Thus the correct answer is given by option C.
A 2km long stretch of road needs to be resurfaced. The width of the road is 8.3m. Model this stretch of road as a rectangle.Work out the area of road that needs to be resurfaced in metre squared. Resurfacing this road costs £30 per square metre What is the total cost to resurface this road?
1 km = 1000 meters
2 km = 2 x 1000 = 2,000 meters
Area = length x width
Area = 2,000 x 8.3 = 16,600 square meters
Cost:
Multiply total area by cost per square meter:
16,600 x 30 = £498,000
Please help me the picture is above I’ll mark as brainliest. I really need the answer
.........................
Answer:
The literals are; a, b, and c
The constants are; c, and 3
The variables are; x, and y
Step-by-step explanation:
The literals (numbers) are letters which represent numbers in an expression or equation, and to which mathematical operations, including, addition, subtraction, division, and multiplication can be applied
The given equation is a·x² + b·x + c - y + 3 = 0
The literals are;
'a', 'b', and 'c'
The constants are the values that remain the same always in an equation and does not change
The constants are;
'c', and '3'
The variables are the values that vary in relation to one another
The variables are;
'x', and 'y'
A petrol can is a rectangular prism with base measurements 15 cm by 30 cm. If the can has capacity 18 liters, find its height.
Answer:
40
Step-by-step explanation:
The first step is to calculate the base area of the prism
= 15×30
= 450
The volume is then calculated as follows
= 450×h
= 450h
The capacity is 18 liters
= 18×1000
= 18,000
Therefore the height of the rectangular prism can be calculated as follows
450h= 18,000
h= 18,000/450
= 40
Hence the height is 40 cm
Determine whether the given triangles are congruent
Answer:
Yes they are congruent and it is explained below
Step-by-step explanation:
There are 5 postulates when testing for congruency and they are;
SSS, SAS, ASA, AAS and HL.
S represents side
A represents angle
H represents hypotenuse
L represents leg
Now, in this our question, we can see that the 3 angles and the three sides of both triangles are equal to each other.
Thus, we can make use of SSS postulate whereby we say the 3 sides of the first triangle are equal to the 3 sides of the second triangle.
Thus, they are congruent.
How many solutions exist for the system of equations in the graph?
Answer:
Two solutions
Step-by-step explanation:
The number of points of intersections represents the number of solutions to the system of equations. Since the parabola intersects the circle at two points, there are two solutions to the circle.
Furthermore, these two points of intersection are exactly the solutions to the system of equations. Finding the coordinates of the points of intersection will give you the solutions to the system of equations.
Solve the following system of equations using all three methods. Must show your work. 4x + y = 2 3x - 3y = 9
Part A: Solve by graphing.
Part B: Solve by substitution.
Part C: Solve by elimination.
Describe the process and steps you used to solve each method.
Answer:
Step-by-step explanation:
you do part a
Equation 1: 4x+y=2
Equation 2: 3x-3y=9
b
Divide equation 2 by 3
x-y=3
add y to both sides
x=3+y
Sbustitute this into equation 1
4(3+y)=2
12+4y+y=2
5y= -10
y= -2
Plug this into equation 1
4x-2=2
x=1
Part c.
Equation 1: 4x+y=2
Equation 2: 3x-3y=9
divide equation 2 by 3
x-y=3
add the two equations
(x-y)+(4x+y)=2+3
5x=5
x=1
Plug this into equation 1
4(1)+y=2
4+y=2
y= -2
For part a just create a table and graph it
Find the distance between the pair of points given on the graph.
Answer:
√74
Step-by-step explanation:
49 + 25
if brainly deletes this answer, i swear this community is going down in the dumps
Answer:
[tex]\sqrt{74}[/tex] = 8.6
Step-by-step explanation:
use distance formula
points are (4,2) and (-3,-3)
d= [tex]\sqrt{(x_{2}-x_{1) ^{2} + (y_{2} -y_{1} )^{2} }[/tex]
substitute points into formula
1. A zoo has an Asian elephant that weighs 6 tons. The elephant got sick and lost 1450 pounds. What is the elephants new weight in tons? 2. In a package of balloons, the ratio of purple balloons to green balloons is 3 to 4. What could be the total number of balloons in the package? 3. The ratio of red flowers to yellow flowers in a field is 5 to 7. If there are 392 yellow flowers in the field, how many red flowers are there?
Answer:
1. The new weight of elephant is 5.342 tones.
3. The number of red flowers are 280.
Step-by-step explanation:
1. weight of elephant = 6 tons
weight lost = 1450 pounds
As , 1 pound = 0.000454 ton
So, 1450 pounds = 0.658 ton
The new weight of elephant is
= 6 - 0.658 = 5.342 tones
3.
red flower to the yellow flower is 5 : 7
Number of yellow flowers = 392
Let the red flowers are R.
So,
[tex]\frac {5}{7}=\frac{R}{392}\\\\R = 280[/tex]
If you get paid 30.00 per hour and you worked 8.5 hours how much do you get paid
Answer:
About 255
Step-by-step explanation:
$30 x 8.5= $225