Answer:
[tex]\angle CFD =105^o[/tex]
Step-by-step explanation:
Given
[tex]\angle D FE = \angle DE F = 75^o[/tex]
See attachment
Required
Determine the measure of [tex]\angle CFD[/tex]
[tex]\angle CFD[/tex] and [tex]\angle DFE[/tex] are on a straight line.
So:
[tex]\angle CFD + \angle DFE = 180^o[/tex] --- angle on a straight line
Substitute known values
[tex]\angle CFD + 75^o = 180^o[/tex]
Collect like terms
[tex]\angle CFD =- 75^o + 180^o[/tex]
[tex]\angle CFD =105^o[/tex]
Find DC, given that line AD is the angle bisector of
Which of the following operations is true regarding relative frequency distributions? Multiple choice question. No two classes can have the same relative frequency. The relative frequency is found by dividing the class frequencies by the total number of observations. The sum of the relative frequencies must be less than 1. The sum of the relative frequencies is equal to the number of observations.
Answer:
The relative frequency is found by dividing the class frequencies by the total number of observations
Step-by-step explanation:
Relative frequency measures how often a value appears relative to the sum of the total values.
An example of how relative frequency is calculated
Here are the scores and frequency of students in a maths test
Scores (classes) Frequency Relative frequency
0 - 20 10 10 / 50 = 0.2
21 - 40 15 15 / 50 = 0.3
41 - 60 10 10 / 50 = 0.2
61 - 80 5 5 / 50 = 0.1
81 - 100 10 10 / 50 = 0.2
50 1
From the above example, it can be seen that :
two or more classes can have the same relative frequencyThe relative frequency is found by dividing the class frequencies by the total number of observations. The sum of the relative frequencies must be equal to one The sum of the frequencies and not the relative frequencies is equal to the number of observations.Second time I’ve posted this. Please help!! :)
Answer:
-2 is an extraneous solution because it creates 0 in the denominator.
There is one acceptable solution to the equation
Step-by-step explanation:
x² + 5x + 6 = x² + 2x + 3x + 6
= x(x + 2) + 3(x + 2)
= (x + 2)(x + 3)
[tex]\frac{x}{x+2}+\frac{2}{x^{2}+5x+6}=\frac{5}{(x+3)}\\\\\frac{x}{x+2}+\frac{2}{(x+2)(x+3)}=\frac{5}{(x+3)}\\\\\frac{x*(x+3)}{(x+2)(x+3)}+\frac{2}{(x+2)(x+3)}=\frac{5*(x+2)}{(x+3)(x+2)}\\\\\frac{x^{2}+3x+2}{(x+2)(x+3)}=\frac{5x+10}{(x+3)(x+2)}\\\\[/tex]
x² + 3x + 2 = 5x + 10
x² + 3x - 5x + 2 - 10 = 0
x² - 2x - 8 = 0
x² + 2x - 4x - 8 = 0
x(x + 2) - 4(x + 2) = 0
(x + 2)(x - 4) = 0
x +2 = 0 or x - 4 = 0
x = - 2 or x = 4
if there are about 5,000.00 red blood cells in every one cubic millimiter of mrs. garcias blood and there are about 4,600,00 cubic millimiter of blood in her body. How many red blood cells does mrs. gracia has in her body?
Answer:
Step-by-step explanation:
Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 4 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cupsss
Answer:
158.33 minutes = 2.63 hours
Step-by-step explanation:
Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slope-Intercept form. State the slope and y-intercept.
Answer:
Equation: y=2x-1
Slope: 2
y-intercept: -1
Step-by-step explanation:
Hi there!
We are given the points (-1, -3) and (-2, -5). We need to find the slope, equation of the line, and the y intercept of the line
First, let's find the slope
The formula for the slope (m) calculated from two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where ([tex]x_1[/tex],[tex]y_1[/tex]) and ([tex]x_2[/tex],[tex]y_2[/tex]) are points
We have everything we need for the formula, but let's label the values of the points to avoid any confusion
x1=-1
y1=-3
x2=-2
y2=-5
Now substitute into the formula (remember: the formula has SUBTRACTION):
m=[tex]\frac{-5--3}{-2--1}[/tex]
simplify
m=[tex]\frac{-5+3}{-2+1}[/tex]
add
m=[tex]\frac{-2}{-1}[/tex]
divide
m=2
So the slope is 2
Now let's find the equation of the line
The question asks for it to be in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We calculated the slope from earlier, so let's substitute that into the equation
y=2x+b
Now we need to find b
The equation will pass through both (-1, -3) and (-2, -5) so we can use either one of them to solve for b (doesn't matter which one)
Let's take (-1, -3) as an example
substitute -1 as x and -3 as y into the equation
-3=2(-1)+b
multiply
-3=-2+b
Add 2 to both sides
-1=b (the value of the y intercept!)
Substitute -1 as b into the equation
y=2x-1
We found everything needed for this problem
Hope this helps!
Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic
Answer:
Independent means that one has no effect on the other. Exclusive means one cannot happen alongside the other. In simpler terms, independent events can be thought of as the chance it'll rain and how many people are flossing their teeth in the morning. Both happen, but neither one impacts the other.
Exclusive, on the other hand, means only one can happen. Lets say at nine in the evening your favorite show is on. However, you have an early morning and should be asleep by nine. You cannot both be asleep and watching your favorite show, and so these events are exclusive.
Can someone help me please ?
Answer:
I would say D is your answer
Step-by-step explanation:
Answer:
the fourth one
use mathaway its like my best friend for math!!!
Step-by-step explanation:
(05.05) Which scenario best matches the linear relationship shown in the table?
Weeks Dollars
0 10
2 20
4 30
6 40
• Shanna had $10 in her piggy bank and earned $10 each week in allowance.
• Shanna had $10 in her piggy bank and earned $5 each week in allowance.
• Shanna had $10 in her piggy bank and spent $5 each week on stickers.
• Shanna earns $10 each week.
Answer:
• Shanna had $10 in her piggy bank and earned $5 each week in allowance.
Step-by-step explanation:
Week 0 dollars = 10
This means Shanna had $10 her piggy bank before the week started
Week 2 dollars = 20
Her account has increased from 10 to 20 dollars in two weeks. This means she is earning
Amount earned per week = change in earnings / change in week
= 20 dollars - 10 dollars / Week 2 - week 1
= 10 dollars / 2 weeks
= 5 dollars per week
Amount earned per week = $5
Therefore,
• Shanna had $10 in her piggy bank and earned $5 each week in allowance
Answer:
option b
Step-by-step explanation:
cuz its the only one that makes sense
HELP PLEASE: GEOMETRY
a. dilation
b. translation
c. reflection
d. rotation
e. none of these answers are correct
would it be best to go with b or e?
Answer:
b translation
Step-by-step explanation:
Dilation means that it gets bigger or smaller
translation means a shift
reflections means that it flips across a line of symmetry
rotation means that it rotates across a point
We shifted the figure down and to the right. It appears to be the same size and shape
I would go with a translation
Hi!! Please help me with this question. I got an answer of 63.25 but it was incorrect and need to redo it. Please also explain how you got the answer and why mine was wrong.
Use ΔDEF, shown below, to answer the question that follows:
Triangle DEF where angle E is a right angle. DE measures 55. EF measures x. Angle D measures 49 degrees.
What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.
Answer:
x ≈ 63.27
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan49° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{EF}{DE}[/tex] = [tex]\frac{x}{55}[/tex] ( multiply both sides by 55 )
55 × tan49° = x , then
x ≈ 63.27 ( to the nearest hundredth )
find the mean of the following 205,208,205,200,210,300,210,180.
Delaware Corporation sets up a sinking fund for getting a lump sum. It has borrowed $50,000 for the business at 8% interest. The amount has to be repaid at the end of the fifth year. The sinking fund may earn an interest at 6% compounded monthly. What is the total amount to be invested including the interest payment?
How would I solve this half life problem?
Which type of transformation is this?
Answer:
A reflection across the x axis
Step-by-step explanation:
Parallelogram ABCD was reflected across the x axis to create parallelogram A'B'C'D'
Consider the function ƒ(x) = –2x – 7 and the function g(x), which is graphed above. Select the correct statement from the options that follow.
a) The function g(x) has a steeper slope than ƒ(x).
b) There isn't enough information to determine which function has a steeper slope.
c) The functions ƒ(x) and g(x) have the same slope.
d) The function ƒ(x) has a steeper slope than g(x).
Answer:
d) The function ƒ(x) has a steeper slope than g(x)
Step-by-step explanation:
We are given that
[tex]f(x)=-2x-7[/tex]
The graph g(x) passing through the point (1.2,0) and (0,4).
Let
y=f(x)=-2x-7
Slope of function f(x)
[tex]m=\frac{dy}{dx}=-2[/tex]
Slope formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Using the formula
Slope of g(x)
[tex]m'=\frac{4-0}{0-1.2}[/tex]
[tex]m'=-3.33[/tex]
Slope of g(x)=-3.33<-2
Slope of f(x) is greater than slope of g(x).
Therefore, function f(x) has a steeper slope than g(x).
Option d) is correct.
Answer:
It's not D its A I Just took the test.
Step-by-step explanation:
Good luck!
Use a double-angle or half-angle identity to find the exact value of each expression
If 180° < θ < 270°, then 90° < θ/2 < 135°, which places θ/2 in the second quadrant so that sin(θ/2) > 0 and cos(θ/2) < 0.
Recall that
cos²(θ/2) = (1 + cos(θ))/2
==> cos(θ/2) = -√[(1 + (-15/17))/2] = -1/√17
and
sin²(θ/2) = (1 - cos(θ))/2
==> sin(θ/2) = +√[(1 - (-15/17))/2] = 4/√17
Then
tan(θ/2) = sin(θ/2) / cos(θ/2)
… = (4/√17) / (-1/√17)
… = -4
Naglakad si Ruben ng 900 sentimetro samantalang si Jaime ay naglakad ng
10 na metro. Gaano kalayo ang pagitan ng nalakad ni Jaime kay Ruben sa
sentimetro?
a. 200 cm c. 300 cm
b. 100 cm d. 250 cm
Sagot:
100 cm
Hakbang-hakbang na paliwanag:
Kung ganoon :
Distansya na sakop ng Ruben = 900 centimetri
Distansya na sakop ng Jamie = 10 metro
Pagko-convert sa centimeter:
100 cm = 1 m
x cm = 10 m
Paggamit ng multiplikasyon ng krus:
x = 100 * 10
x = 1000 cm.
Dahil dito Distansya ni Jamie = 1000 cm
Distansya sa pagitan ng Jamie at Ruben;
1000 cm - 900 cm = 100 cm
Write the expression a 15 as a product of two exponents with the same base, one of
which equals:
a^6
Answer:
[tex]a^{6} a^{9} = a^{15}[/tex]
Step-by-step explanation:
is this the question ///
Write the expression a^15 as a product of two exponents with the same base, one of which equals: a^6
if so ...
[tex]a^{6} a^{9} = a^{15}[/tex]
What set of reflections would carry trapezoid ABCD onto itself?
y=x, x-axis, y=x, y-axis
x-axis, y=x, x-axis, y=x
y-axis, x-axis, y-axis
x-axis,y-axis,y-axis
HELPPPP MEEEE OUTTTTT ASAPPPPP PLEASEEEEE!!!!!
Answer:
cos A = 7/25
Step-by-step explanation:
Since we are given a right triangle, we can use trig functions
cos A = adj side/ hypotenuse
cos A = 7/25
Answer:
[tex]\boxed{\sf cos\ A =\frac{7}{25}}[/tex]
Step-by-step explanation:
We need to find out the value of cos A using the given triangle . Here we can see that the sides of the triangle are 7 , 25 and 24 .
We know that the ratio of sine is base to hypontenuse .
[tex]\sf\longrightarrow cos\theta =\dfrac{ base}{hypontenuse}[/tex]
Here we can see that the side along the angle A is 7 , therefore the base of the triangle is 7. And the side opposite to 90° angle is 25 . So it's the hypontenuse . On using the ratio of sine ,
[tex]\sf\longrightarrow cos \ A =\dfrac{ b}{h}=\dfrac{AB}{AC}[/tex]
Substitute the respective values ,
[tex]\sf\longrightarrow \boxed{\blue{\sf cos \ A =\dfrac{7}{25}}}[/tex]
Hence the required answer is 7/25.
2r + st^2 - u, if r = 4, s = 6, t = 3, and u = 12
Answer:
320
Step-by-step explanation:
r = 4, so 2 x 4 = 8.
s = 6 and t = 3, so 6 x 3 = 18. 18 squared is 324.
u = 12, so 8 + 324 - 12, which equals 320.
Can someone help me with this math homework please!
Answer:
The third table
Step-by-step explanation:
When a function decrease over a interval, the numbers between the interval and the latest interval included must be lesser than the original first interval.
In other words, the y value for -2 must be greater than the numbers between 0 and -2 in order for the interval be decreasing.
The third table show that
The slope of the line is:
A. -6
B.
C. O
D. Undefined
Answer:
The slope is undefined
Step-by-step explanation:
Since x doesn't have an existing value it leaves the slope as undefined.
A parabola can be represented by the equation y2 = 12x.
Which equation represents the directrix?
O y=-3
O y=3
O X=-3
O x= 3
Answer:
It's C
X = -3
Step-by-step explanation:
Edge 2022
The equation represents the directrix is x=-3.
the correct option is (C).
what is directrix in parabola?A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola, and the line is called the directrix . The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola.
given: y²=12x
y²=4*3*x
Here a=3
So, x+a=0
x+3=0
x=-3.
Hence, the directrix of parabola is: x=-3
Learn more about directrix here:
https://brainly.com/question/4333610
#SPJ2
ASAPppppppppppppppppp
Answer:
9/16
Step-by-step explanation:
3/8 ÷ 2/3
Copy dot flip
3/8 * 3/2
Multiply the numerators
3*3=9
Multiply the denominators
8*2 = 16
Numerator over denominator
9/16
A retailer sold an electric item to a customer at a loss of 10 percent the customer purchase it for rs 25425 including 13, percent VAT calculate the cost price of the electric item to the retailer
Answer: Rs 25,000
Step-by-step explanation:
Given
Retailer sold an electric iron to a customer at a loss of 10%
Suppose the Cost price of iron is [tex]x[/tex]
So, selling price is [tex]0.9x[/tex]
This price must be equal to [tex]25425[/tex]+ VAT
[tex]\Rightarrow 0.9x=25425-0.13(0.9x)\\\Rightarrow 0.9x+0.117x=25425\\\Rightarrow 1.017x=25425\\\Rightarrow x=\text{Rs }25,000[/tex]
Thus, the cost price is [tex]Rs.25,000[/tex]
pals fast what are amplitude, period, phase shift and midline for f(x)=-4 cos (3x-pi)+2
Answer:
amplitude = |-4| =4
period = 2 pi/3
phase shift = pi / 3
midline = 2
Step-by-step explanation:
f(x)=-4 cos (3x-pi)+2
The equation is in the form
f(x) = a cos (bx -c) +d where |a| is the amplitude
period is 2 pi /b
phase shift: c/b
midline = d
amplitude = |-4| =4
period = 2 pi/3
phase shift = pi / 3
midline = 2
Need help on this asap!! Also Thank you in advance!!
Answer:
50/sin90=x/sin45
x=35.36cm
please help finding x ASAP
Angle 2 and Angle 4 are same-side interior angles, which are supplementary.
(2x + 10) + (4x + 80) = 180
6x + 90 = 180
6x = 90
x = 15
Hope this helps!
Answer:
X = 15
Step-by-step explanation:
Angle 2 = Angle 3 since they are alternate angles
Now, angle 3 and 4 should add up to 180 since they are on a straight line
∴ (2x + 10) + (4x + 80) = 180
6x + 90 = 180
6x = 180 - 90
6x = 90
x = 15
HOPE THIS HELPS