Answer:
Step-by-step explanation:
[tex]\bf (\stackrel{x_1}{8}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{14}~,~\stackrel{y_2}{-9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-9-(-9)}{14-8}\implies \cfrac{-9+9}{6}\implies \cfrac{0}{6}\implies 0[/tex]
find the area of each triangle to the nearest tenth.
9. Area = 59.755[tex]cm^{2}[/tex] square cm. when the area to nearest tenth then, area = 60 square cm.
10. Area = 22.9813[tex]mi^{2}[/tex]. When the area to nearest tenth then, area = 20 square mi.
Area of the Triangle:
Area of the triangle is = half of (base x height)
=> (1/2) x (b x h)
Trigonometry:
sinθ = opposite side / hypotenuse
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The area of the triangles are 59.8 square cm and 23.0 square miles
How to determine the area of each triangleFrom the question, we have the following parameters that can be used in our computation:
The triangle
The area of each triangle is calculated using the following sine equation
Area = 1/2absin(C)
Using the above as a guide, we have the following
Area of triangle 1 = 1/2 * 11 * 11 * sin(99 degrees)
Area of triangle 1 = 59.8 square cm
Area of triangle 2 = 1/2 * 5 * 12 * sin(50 degrees)
Area of triangle 2 = 23.0 square miles
Hence, the area of the triangles are 59.8 square cm and 23.0 square miles
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Eric wants to find out the most popular after-school activity among high school seniors at his school. What is the population in Eric’s survey?
Answer: The population in Eric's survey is the high school seniors.
Answer:
all high school seniors at Eric’s school
Step-by-step explanation:
How might logarithmic functions relate to earthquakes?
Answer:
Step-by-step explanation:
The way that this function looks when graphed could be similar to the seismic waves recorded when an earthquake hits.
A logarithmic measure known as the Richter scale is used to quantify the overall energy generated during an earthquake. Each number higher on the Richter scale denotes a ten-times-stronger intensity. For instance, a magnitude 5 earthquake is ten times more powerful than a magnitude 4 earthquake.
What is logarithmic function?The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.
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a segment has endpoints at (1, -2) The midpoint is at (-4, -2). What are the cooordinates of the other endpoint?
Answer:
coordinate of the other endpoint is (-9,-2)
Step-by-step explanation:
Given that a segment has endpoints at (1, -2). The midpoint is at (-4, -2).
Now we need to find about what are the coordinates of the other endpoint.
let the coordinates of other end points are (x,y)
Then mid point of (1,-2) and (x,y) is given by mid point formula:
[tex]\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]
[tex]\left(\frac{x+1}{2},\frac{y-2}{2}\right)=(-4,-2)[/tex]
[tex]\Rightarrow \frac{x+1}{2}=-4, \frac{y-2}{2}=-2[/tex]
[tex]\Rightarrow x+1=-8, y-2=-4[/tex]
[tex]\Rightarrow x=-9, y=-2[/tex]
hence coordinate of the other endpoint is (-9,-2)
Answer:
what the otherperson said
Step-by-step explanation:
just read what the other person said
In the given kite, AE = 6 ft, BE = 9 ft, and DE = 15 ft. Determine the area of the kite.
Answer:
72
Step-by-step explanation:
(24*6)/2 = 72
Answer:
[tex]144ft^2[/tex]
Step-by-step explanation:
For this problem, we can use the formula for the area of a kite.
[tex]A=\frac{pq}{2}[/tex]
Where p and q are the diagonals.
Since line AE starts at the edge of the kite and ends at the center, we can multiply its value by 2 to find the value of the p diagonal.
[tex]6*2=12[/tex]
So diagonal p is 12ft.
Now we can find the value of the q diagonal, which will be adding BE and DE.
[tex]9+15=24[/tex]
So diagonal q is 24ft.
Let's plug them into the area formula I mentioned earlier.
[tex]A=\frac{12*24}{2} \\ \\ A=\frac{288}{2} \\ \\ A=144[/tex]
the price of a meal was 29.85
the sales tax was 6% of the price of the meal
the tip was 15% of the meal and the sales tax
how much money did the smith family pay for the meal including the sales tax and tip
i believe they would spend $36.12
What does this equal to in standard form? (A+bi)
[tex]
3i(-7+11i)=-28i+33i^2=\boxed{-33-28i}
[/tex]
Answer:
-33 - 21i
Step-by-step explanation:
3i (-7 + 11i)
= -21i + 33i^2 (i^2 = -1)
= -21i + 33(-1)
= -33 - 21i
When point A( 3, 1) is translated 2 units to the right and 6 units up the coordinates of point A'
Answer:
A' = (5,7)
Step-by-step explanation:
So, we start with the original point A at (3,1), that means x = 3 and y = 1.
We move it 2 units to the right... so we're moving along the X-axis... and we're moving to the right.. so we're increasing the value of x. That means starting with x = 3, we go 2 more units... we then get to x = 5.
In the same way, we move 6 units up... so we move along the Y-axis. We go up, so we also increase the value of y. Starting with y = 1, we move up by 6 units... so we are now at y = 7.
A' point is then at (5,7).
Focus on number two ok
anwser is 5/12
dividing a fraction is the same as multiplying by a reciprocal
Evaluate the function below for x = 2.
f (x) = 4x^3 - x^2 - 5x+7
Answer: [tex]f(2)=25[/tex]
Step-by-step explanation:
You know that the given function is:
[tex]f(x)=4x^3-x^2-5x+7[/tex]
You know that you must evaluate this function for [tex]x=2[/tex].
Then, to evaluate the function for [tex]x=2[/tex], you need to substitute this value into the given function and simplify it.
Therefore, you get:
[tex]f(x)=4x^3-x^2-5x+7\\f(2)=4(2)^3-(2)^2-5(2)+7\\f(2)=4(8)-(4)-10+7\\f(2)=32-4-10+7\\f(2)=25[/tex]
So, the answer is: [tex]f(2)=25[/tex]
the product of x and the sum of 6 and 8 times the square of x
Answer:
x = 14; x = 0
Step-by-step explanation:
(x)(6 + 8) = x²
(x)(14) = x²
14x = x²
14x - x² = 0
(x)(14 - x) = 0
x = 14; x = 0
which of these is the best definition of a circle?
Answer:
C
Step-by-step explanation:
It is all the points on a plane that are the same distance away from 1 fixed point.
That makes C the answer. There are definitions here for a parabola (B), an ellipse (A) and a Hyperbola (D).
Only C is correct for the circle.
Answer: C just did it
The area of a playground is 160 yd2. The width of the playground is 6 yd longer than its length. Find the length and width of the playground.
Answer:
length=10\ yd, width=16\ yd
Answer:
Length of the playground is 10 yd and the Width of the playground is 16 yd .
Step-by-step explanation:
Formula
Area of a rectangle = Length × Width
As given
The area of a playground is 160 yd².
The width of the playground is 6 yd longer than its length.
Let us assume that the length be x .
Thus
Width = x + 6
Put all the values in the formula
160 = x × (x + 6)
160 = x² + 6x
x² + 6x - 160 = 0
x² + 16x - 10x - 160 = 0
x (x + 16)-10 (x + 16) = 0
(x -10)(x + 16) = 0
Thus
Either (x - 10) = 0 or (x + 16 ) = 0
x = 10 or x = -16
(Negative value is neglected because sides cannot be negative.)
Thus
x = 10
Length = 10 yd
Width = 10 + 6
= 16 yd
Therefore the length of the playground is 10 yd and the width of the playground is 16 yd .
Isabel received 4/7 of the 210 votes for cast for class treasurer. How many votes did she receive? Write your answer in simplest form
Answer:
120 votes
Step-by-step explanation:
So one way to solve this is by creating an equation to solve for x.
So we are given 4/7, that will be one side of the equation.
And we are trying to figure out how many votes out of the 210 she received, so on the other side of the equation we will have x/210, since we are solving for x.
So 4/7 = x/210
We want to get x alone, so we can multiply 4/7 by 210, which equals 120.
So x equals 120!
Isabel received 4/7 of the 210 votes for class treasurer, which equals 120 votes when the total is multiplied by the fraction.
The student is asking for help with a mathematics problem related to finding a fraction of a whole number. Isabel received 4/7 of the total votes cast for class treasurer, and the total number of votes cast was 210. To find how many votes Isabel received, we simply multiply 210 by 4/7:
Isabel's votes = (210) * (4/7)
Isabel's votes = 840 / 7
Isabel's votes = 120
Therefore, Isabel received 120 votes.
Each of 33 samples has a different standard deviation how many of the 33 samples could be from the same population A)33.
B)30.
C)31.
D)32
Answer:
A) 33
Explanation:
There are always chances so you never know where the samples could be from. The answer 33 makes the most logical sense.
·Hope I helped, -SunnySideHelper·A.33.sample population
A toy manufacturer uses 1,000 plastic wheels to make 250 toy trucks. If they use 3,584 plastic wheels in an 8 hour shift, how many toy trucks are made per hour?
Answer:
112 trucks
Step-by-step explanation:
so you take ratio:
1000-250
3584-x
x=896
and after you divide 896 by 8 hours and get 112
hope it helped you
Which quantity is proportional to 18⁄3? Check all that are true. 90⁄16 36⁄6 72⁄12 6⁄1 36⁄12
A quantity is proportional to 18/3 if it simplifies to the same value, which is 6. The proportional quantities are 90/15, 36/6, 72/12, and 6/1, as they all simplify to 6. The quantity 36/12 is not proportional since it simplifies to 3.
To determine which quantities are proportional to 18/3, we need to find what 18 divided by 3 equals and then compare this to the given fractions to check for equivalence. Calculating 18/3 gives us 6. Now, let's examine each option:
90/15: This fraction reduces to 6, which is proportional to 18/3.
36/6: This fraction also equals 6 after simplification, so it is proportional to 18/3.
72/12: Simplifying 72/12 gives us 6, making it proportional to 18/3
6/1: 6 divided by 1 is just 6, so this too is proportional to 18/3.
36/12: Simplifying 36/12 results in 3, which is not equal to 6, so it is not proportional to 18/3.
What is 1 1/2 divided by 2?
Answer:
The answer is 3/4.
Step-by-step explanation:
1 1/2 is equal to 1.5.
1.5 divided by 2 is 0.75.
0.75 is equal to 3/4.
Answer:
Step-by-step explanation:
first you gotta make 1 1/2 an improper fraction then you put 2 over one to make a fraction to divide then swich 1 and 2 and multiply and the answer would be 3/4
Which of the following are solutions to2x^2-8x-90? Select all that apply. 2
-5
-7
9
15
5
7
Answer:
9,-5
Step-by-step explanation:
2x^2-8x-90
Factor by 2
2(x^2 -4x-45)
What two numbers multiply to -45 and add to -4
-9*5 = -45
-9+5 = -5
2(x-9) (x+5)
Set this equal to zero
2(x-9) (x+5) =0
Divide by 2
(x-9) (x+5) =0
Using the zero product property
x-9=0 x+5=0
x=9 x=-5
Find the height of a triangle with an area (a) of 35 square inches and base (b) of 7 inches. Use the formula for the area of a triangle, a= 1/2bh
The height of rectangle is 10 inch
Answer:
10 inches
Step-by-step explanation:
!HELP!
I need to write an expression for the shaded region in its simplest form, showing all of my steps!
But it's late at night and I'm not entirely sure how to do this, so thank you so much in advance!!!
Answer:
x² + 23x + 49
Step-by-step explanation:
Area of the big rectangle
= (x + 10)(2x + 5)
= 2x² + 5x + 20x + 50
= 2x² + 25x + 50
Area of the small white rectangle
= (x + 1)(x + 1)
= x² + x + x + 1
= x² + 2x + 1
Area of the shaded area
= (2x² + 25x + 50) - (x² + 2x + 1)
= 2x² + 25x + 50 - x² - 2x - 1
= x² + 23x + 49
I think of a number, double it and add 14. The result is 36. What is the number?
Answer:
11
Step-by-step explanation:
11*2=22, 22+14=36, quick maths
Answer:
11
Step-by-step explanation:
36-14 gives you the doubled-number you chose, 22.
Then since the number is doubled, divide it by 2. 22÷2=11
Find the area of the trapezoid by decomposing it into other shapes.
A) 35 cm2
B) 39 cm2
C) 40 cm2
D) 48 cm2
Answer:
A) 35 cm2
Step-by-step:
Answer:
A- 35 cm2
Step-by-step explanation:
use the factor theorem to determine whether the first polynomial is a factor of the second polynomial
x-3 ; 2x^2-4x+30
Answer:
not a factor
Step-by-step explanation:
If (x - 3) is a factor then f(3) = 0
f(x) = 2x² - 4x + 30
f(3) = 2(3)² - 4(3) + 30 = 18 - 12 + 30 = 36 ≠ 0
Since f(3) ≠ 0 then (x - 3) is not a factor of f(x)
Kristina joined a health club. She paid an annual membership fee of $40 and $3.50 each time she worked out.
Part A
Write an equation to show the total amount, t, Kristina paid to go the health club z times.
Part B
Kristina spent a total of $110.00 before she stopped going to the health. How many times did she go to the health club?
Answer:
Part A) The equation is [tex]t=3.50z+40[/tex]
Part B) Kristina did go to the gym 20 times
Step-by-step explanation:
Let
t-----> the total amount
z----> the number of times that Kristina go the health club
Part A) Write an equation
we know that
The linear equation that represent this situation is
[tex]t=3.50z+40[/tex]
Part B) For [tex]t=\$110.00[/tex]
Substitute the value of t in the linear equation and solve for z
[tex]110.00=3.50z+40[/tex]
[tex]3.50z=110.00-40[/tex]
[tex]3.50z=70.00[/tex]
[tex]z=70.00/3.50[/tex]
[tex]z=20\ times[/tex]
The length of a rectangle is 6m more then the width. The area is 40m^2 . What is the length and the width?
let the width of the rectangle be x
area of rectangle is l*b
x * (x + 6) = 40^2
x^2 + 6x = 40^2
x^2 + 6x = 1600
x + 6x =√1600
x + 6x = 40
7x = 40
x = 5.7
Hope you found this useful
Confused??? on how to prove the equation, the first part of the problem
Answer:
Asin(wt + φ) = c2sinwt +c1coswt
Step-by-step explanation:
Proof:
wt here is periodic where as φ is constant
taking left hand side
Asin(wt + φ)
Using trigonometric identity sin(θ+φ) = sinθcosφ +sinφcosθ
Asin(wt +φ) = A[sinwtcosφ +sinφcoswt]
= Asinwtcosφ +Asinφcoswt
Now as we know φ is constant
so will Asinφ and Acosφ will also be constant
let Asinφ= c1
and Acosφ=c2
Putting in above expression, we get
Asin(wt +φ) = c2sinwt +c1coswt !
Lesson 4 practice problems.
Answer:
which is the question yours asking help for
Find the solutions of the quadratic equation 14x^2+9x+10=014x
2
+9x+10=014, x, start superscript, 2, end superscript, plus, 9, x, plus, 10, equals, 0.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{9}{28}\pm\dfrac{\sqrt{479}}{28}i
28
9
±
28
479
istart fraction, 9, divided by, 28, end fraction, plus minus, start fraction, square root of, 479, end square root, divided by, 28, end fraction, i
(Choice B)
B
-\dfrac{9}{28}\pm\dfrac{\sqrt{479}}{28}i−
28
9
±
28
479
iminus, start fraction, 9, divided by, 28, end fraction, plus minus, start fraction, square root of, 479, end square root, divided by, 28, end fraction, i
(Choice C)
C
-\dfrac{9}{28}\pm\dfrac{\sqrt{479}}{28}−
28
9
±
28
479
minus, start fraction, 9, divided by, 28, end fraction, plus minus, start fraction, square root of, 479, end square root, divided by, 28, end fraction
(Choice D)
D
\dfrac{9}{28}\pm\dfrac{\sqrt{479}}{28}
28
9
±
28
479
Answer:
Option B. [tex]x=-\frac{9}{28}(+/-)\frac{\sqrt{479}}{28}i[/tex]
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to
[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]14x^{2}+9x+10=0[/tex]
so
[tex]a=14\\b=9\\c=10[/tex]
substitute in the formula
[tex]x=\frac{-9(+/-)\sqrt{9^{2}-4(14)(10)}} {2(14)}[/tex]
[tex]x=\frac{-9(+/-)\sqrt{-479}} {28}[/tex]
Remember that
[tex]i=\sqrt{-1}[/tex]
substitute
[tex]x=\frac{-9(+/-)\sqrt{479}i} {28}[/tex]
[tex]x=-\frac{9}{28}(+/-)\frac{\sqrt{479}}{28}i[/tex]
HELP !!!!!!!!!!!!!!!!!!!
Hello There!
Your answer would be “B”
Forget about the -5 and just do 5 multiplied by 3 and you get a product of 15.
Then, make it negative and it would be 4^-15