EF is tangent to the circle we'll assume; otherwise there's no progress.
Call the center C. ECD is isosceles, formed from two radii and the chord.
Angle CED is complementary to DEF
CED = 90 - 65 = 25 degrees
CDE is congruent, isosceles triangle and all that: CDE=25
That leaves DCE=180-25-25=130 degrees
That's the measure of arc DE as well:
Answer: 130 degrees, choice A
Answer:
130
Step-by-step explanation:
Using the table below, what is the rate of change? Don't forget to include your units.
Number of sodas 24
28
32
36
Total Cost ($)
18
21
24
27
Answer:
0.75
Step-by-step explanation:
Given the table :
Number of sodas 24
28
32
36
Total Cost ($)
18
21
24
27
The rate of change :
Rate of change = Rise / Run
Rise = y2 - y1 ; Run = x2 - x1
From the table :
Take number of sodas as X - axis
Total cost as Y - axis
Taking the points :
(24, 18) ;(36, 27)
x1 = 24 ; x2 = 36
y1 = 18 ; y2 = 27
Rise = (y2 - y1) = (27 - 18) = 9
Run = (x2 - x1) = (36 - 24) = 12
Rate of change = 9 / 12 = 0.75
Three consecutive odd integers have a sum of 27. Find the integers.
[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]
Sum of three consecutive odd integers = [tex]27[/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The values of the three integers.
[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]
[tex]\sf\purple{The\:three\:consecutive \:odd\:integers\:are\:7,\:9\:and\:11.}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
Let us assume the three consecutive odd integers to be [tex]x[/tex], [tex](x+2)[/tex] and [tex](x+4)[/tex].
As per the condition, we have
[tex]Sum \: \: of \: \: the \: \: three \: \: consecutive \: \: odd \: \: integers = 27[/tex]
[tex]➺ \: x + (x + 2) + (x + 4) = 27[/tex]
[tex]➺ \: x + x + 2 + x + 4 = 27[/tex]
Now, collect the like terms.
[tex]➺ \: (x + x + x) + (2 + 4) = 27[/tex]
[tex]➺ \: 3x + 6 = 27[/tex]
[tex]➺ \: 3x = 27 - 6[/tex]
[tex]➺ \: 3x = 21[/tex]
[tex]➺ \: x = \frac{21}{3} \\[/tex]
[tex]➺ \: x = 7[/tex]
Therefore, the three consecutive odd integers whose sum is [tex]27[/tex] are [tex]\boxed{ 7 }[/tex], [tex]\boxed{ 9 }[/tex] and [tex]\boxed{ 11 }[/tex] respectively.
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]
[tex]⇢ 7 + 9 + 11 = 27[/tex]
[tex]⇢ 27 = 27[/tex]
⇢ L. H. S. = R. H. S.
[tex]\sf\blue{Hence\:verified.}[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]
Mary ran 2 miles in about 23 minutes If she continued at the same pace how long will it take her to run 10 miles?
Question 14 (5 points)
Which of the following is equivalent to cos (23º)?
cos (90°)
sin (67°)
sin (23°)
cos (67°)
Answer:
Sin (67°)
Step-by-step explanation:
Cos (23°) = sin(90-23) = sin (67°)
Answered by GAUTHMATH
nate and laura picked 20 apples laura picked 1/2 of what nate picked
how many did nate pick?
Answer:
10
Step-by-step explanation:
20÷2=10 the half of 20 is 10 simple as that
Answer:
ok so together they picked 20 apples so
20=y+1/2y
y=40/3 or 13 1/3
thats how many nate picked and we divide by 2
6 2/3
Hope This Helps!!!
If 4/3 . sin42⁰ = x then 4/3 . cos48⁰ = ?
Step-by-step explanation:
If 4/3 . sin42⁰ = x then 4/3 . cos48⁰ = ?
so it's that
Please help!! In class right now, I don’t understand anything
Answer:
x = 2.5
Step-by-step explanation:
Because the triangles are similar, you can divide the sides and equal the results:
24/6 = 10/x
24•x/6 = 10
24•x = 10•6
24•x = 60
x = 60/24
x = 2.5
Answer:
x = 2.5 km
Step-by-step explanation:
In similarity triangles, corresponding sides are in same ratio.
[tex]\frac{DF}{BC}=\frac{EF}{AC}\\\\\frac{10}{24}=\frac{x}{6}\\\\\frac{10}{24}*6=x\\\\x=\frac{10}{4}\\\\x=\frac{5}{2}\\\\x= 2.5[/tex]
How do you upload more than one photo to a question? Also I need help with this problem...
Answer:
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Step-by-step explanation:
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A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.
Answer:
[tex]Height = 12cm[/tex]
Step-by-step explanation:
Given
[tex]Volume = 1200cm^3[/tex]
The dimension of the base is:
[tex]Base =10cm[/tex]
[tex]Sides = 13cm[/tex]
See comment for complete question
Required
The height of the base
To do this, we make use of Pythagoras theorem where:
[tex]Sides^2 = (Base/2)^2 + Height^2[/tex]
So, we have:
[tex]13^2 = (10/2)^2 + Height^2[/tex]
[tex]13^2 = 5^2 + Height^2[/tex]
[tex]169 = 25 + Height^2[/tex]
Collect like terms
[tex]Height^2 = 169 - 25[/tex]
[tex]Height^2 = 144[/tex]
Take square roots of both sides
[tex]Height = 12cm[/tex]
2/3 divided by 4/5? step by step requested
Answer:
5/6
Step-by-step explanation:
When dividing fractions, multiply by the reciprocal:
2/3 ÷ 4/5
2/3 x 5/4
Multiply the numerators and denominators by each other:
= 10/12
Simplify by dividing the numerator and denominator by 2:
= 5/6
The answer is 5/6
Which of the following sampling methods are biased?
systematic random sample
voluntary response sample
convenience sample
simple random sample
Answer:
- voluntary response sample
- convenience sample
Step-by-step explanation:
Any method of sampling can be biased depending on how they are cared out; however, both voluntary response and convenience are almost always biased. This is because in both the sample is not controlled. In voluntary response, there is no way to ensure that the sample will be representative of everyone since it is based on volunteers. Convenience is also biased because the sample is skewed towards whatever is convenient not what is fair and representative.
Drag each expression to the correct category.
Apply the produc rules to determine the sign of each expression.
[tex]( - \frac{4}{9} )( \frac{7}{4} ) = \: \: negative [/tex]
[tex]( - 2 \frac{3}{4} )( - 1 \frac{1}{5} ) = \: \: positive[/tex]
[tex](3)( - 3)( - 3)( - 3)( - 3) = \: \: positive[/tex]
[tex]( - \frac{1}{6} )( - 2)( - \frac{3}{5} )( - 9) = \: \: positive[/tex]
[tex]( - \frac{4}{7} )( - \frac{3}{5} )( - 9) = \: \: negative[/tex]
[tex]( - \frac{10}{7} )( \frac{8}{3} ) = \: \: negative[/tex]
line F has a slope of. -6/3 and line G has a slope of -8/4.
what can be determined about distinct lines F and G?
Given:
Slope of line F = [tex]-\dfrac{6}{3}[/tex]
Slope of line G = [tex]-\dfrac{8}{4}[/tex]
To find:
The conclusion about distinct lines F and G.
Solution:
We have,
Slope of line F = [tex]-\dfrac{6}{3}[/tex]
= [tex]-2[/tex]
Slope of line G = [tex]-\dfrac{8}{4}[/tex]
= [tex]-2[/tex]
The slopes of lines F and G are equal and we know that the slopes of two parallel lines are always equal.
Therefore, the line F and line G are parallel to each other.
The sum of three consecutive odd numbers is 63. What are the numbers?
Answer:
19, 21 and 23
Step-by-step explanation:
→ Make an algebraic expression for the 3 consecutive numbers
2x + 1, 2x + 3 and 2x + 5
→ Add the expressions together and make it equal to 63
2x + 1 + 2x + 3 + 2x + 5 = 63
→ Simplify
6x + 9 = 63
→ Minus 9 from both sides
6x = 54
→ Divide both sides by 6
x = 9
→ Resubstitute x = 9 into the 3 expressions
x = 9 into 2x + 1 is 19
x = 9 into 2x + 3 is 21
x = 9 into 2x + 5 is 23
Help ASAP
Determine reflections (advanced)
Draw the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D'.
Answer:
Line that connects points (0,4) to (4,0)
Step-by-step explanation:
Just imagine where you should fold the paper to overlap one figure on another
Can someone help me with this question please. I've been struggling.
Write the equation of the line of reflection
Answer:
y=-1
Step-by-step explanation:
Since we see an overlap, the line must cross through the original image.We can solve the equation of the line of reflection by realizing there is no slope because the reflection is parallel to the x-axis.Seven people, named Anna, Bob, Chandra, Darlene, Ed, Frank, and Gina, will be interviewed for a job. The interviewer will choose two at random to interview on the first day. What is the probability that Anna is interviewed first, and Darlene is interviewed second?
Answer:
0.0238
Step-by-step explanation:
Total number of persons to be chosen from = 7
If each person has an equal probability of being selected ;
Number of persons to be selected = 2
Probability = required outcome / Total possible outcomes
P(Anna first) = 1 / 7
Recall; this is a selection without replacement ;
P(Darlene second) = 1 / 6
1/7 * 1/ 6 = 1 / 42 = 0.0238
Given f(x) = 19x + 12 , find f(3)
F(3)= ?
Answer:
69
Step-by-step explanation:
to find f(3), we'll have to substitute x with 3
therefore,
f(3) = 19 × 3 + 12
= 57 + 12
= 69
Answer:
f ( 3 ) = 69
Step-by-step explanation:
Given :-
f ( x ) = 19x + 12.
To find :- f ( 3 ) = ?
Solution :-
f ( x ) = 19x + 12.
Substitute as the 3 as x
f ( 3 ) = 19 ( 3 ) + 12
Multiply ; 19 × 3
f ( 3 ) = 57 + 12
Add 57 and 12
f ( 3 ) = 69
Question is in the photo*
Answer:
3x - y +5=0
Step-by-step explanation:
Slope:-
=> m = 2-8/-1-1 = -6/-2
=> m = 3
Using point slope form :-
=> y - 2 = 3 ( x - (-1))
=> y - 2 = 3x + 3
=> 3x - y +5 = 0
Answer:
y=3x+5
Step-by-step explanation:
first find the gradient
m=y2-y1/x2-x1
from the coordinates you are given x one is -1,x two is1,y one is 2,y two is 8
8-2/1-(-1)
=3
therefore the gradient is 3
after finding the gradient use the equation
y-y1=m(x-x1)
substitute x1,y1 and the gradient..y and x are constant
y-2=3(x-(-1))
y-2=3x+3
y=3x+3+2
y=3x+5
Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - x + 4 = 0
Answer:
[tex]x = \dfrac{1 + i\sqrt{47}}{6}[/tex] or [tex]x = \dfrac{1 - i\sqrt{47}}{6}[/tex]
Step-by-step explanation:
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
We have a = 3; b = -1; c = 4.
[tex] x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(4)}}{2(3)} [/tex]
[tex]x = \dfrac{1 \pm \sqrt{1 - 48}}{6}[/tex]
[tex]x = \dfrac{1 \pm \sqrt{-47}}{6}[/tex]
[tex]x = \dfrac{1 + i\sqrt{47}}{6}[/tex] or [tex]x = \dfrac{1 - i\sqrt{47}}{6}[/tex]
Find the value of x that makes A || B
HELPPPPP
Answer:
x = 90
Step-by-step explanation:
If lines A and B were parallel , then
∠ 1 and ∠ 4 are corresponding angles and congruent, so
3x - 160 = x + 20 ( subtract x from both sides )
2x - 160 = 20 ( add 160 to both sides )
2x = 180 ( divide both sides by 2 )
x = 90
PLS HELP ASAP¡!!!
solve for f(3) if
f(x)=x^3+2x^2-x-1
I need help with question .
Answer:
14.8f + 1.8g + 12.1d
Step-by-step explanation:
combine like terms.
3.6+8.5= 12.1
6.2+8.6= 14.8
-2.7+4.5= 1.8
What is the degree of this polynomial? 5y2 + y +1
O A. 5
O B. 1
O C. 3
O D. 2
Answer:
Option D is correct
Step-by-step explanation:
In the above polynomial, 2 is degree of polynomial because the highest degree of polynomial is 2.
Hope it is helpful....PLS HELP (algebra 1)
solve -6 + 8(16 - 19z)
Answer:
122-152z
Step-by-step explanation:
-6+ 8(16 - 19z)
= -6 + 128 - 152z
= 122 - 152z
I hope this helps!
How you get 9.8? from your equation?
Step-by-step explanation:
What equation are you talking about
How much will it cost to fill up an empty 12-gallon take if gasoline costs $1.1599 per gallon
Answer:
13.9188 dollars
Step-by-step explanation:
1.1599 * 12 = 13.9188
Answer:
1 gallon fill = $1.1599
Step-by-step explanation:
we have to fill 12-gallons
Simple-Answer:
12 gallon = 12 * $1.1599
12 gallon = $13.9188
Augusto nació en Roma el 23 de septiembre del año 63 a. C y fue el primer emperador romano que gobernó entre el año 27 a. C y 14 d. C considerándose como el emperador con el reinado más prolongado de la historia. Después de su muerte el 19 de agosto del año 14 d. C el senado romano lo inmortalizó glorificando su legado, por esta razón, varios de los emperadores que lo siguieron adoptaron sus nombres. ¿Cuántos años cumplidos vivió Augusto?
Answer:
Augusto vivió durante 75 años cumplidos, muriendo casi un mes antes de cumplir 76 años.
Step-by-step explanation:
Dado que Augusto nació en Roma el 23 de septiembre del año 63 a. C y fue el primer emperador romano que gobernó entre el año 27 a. C y 14 d. C considerándose como el emperador con el reinado más prolongado de la historia, y después de su muerte el 19 de agosto del año 14 d. C el senado romano lo inmortalizó glorificando su legado, por esta razón, varios de los emperadores que lo siguieron adoptaron sus nombres, para determinar cuántos años cumplidos vivió Augusto se debe realizar el siguiente cálculo:
Nacimiento: 23/09/63 AC
Primer año: 23/09/62 AC
Tercer año: 23/09/60 AC
Sesenta y dos años: 23/09/01 AC
Sesenta y tres años: 23/09/01 DC
Setenta y tres años: 23/09/11 DC
Setenta y cinco años: 23/09/13 DC
Así, Augusto vivió durante 75 años cumplidos, muriendo casi un mes antes de cumplir 76 años.
In ΔVWX, the measure of ∠X=90°, XW = 20, WV = 29, and VX = 21. What ratio represents the cosine of ∠W?
asap help answer ---------
Answer:
[tex]C(n)=30-20n[/tex]
Step-by-step explanation:
Arithmetic sequence given in the question is,
10, -10, -30, -50........
Explicit formula of an Arithmetic sequence is given by,
[tex]C(n)=C(1)+(n-1)d[/tex]
Here, [tex]C_1=[/tex] First term
[tex]n=[/tex] number of terms
[tex]d=[/tex] common difference
From the given sequence,
[tex]C(1)=10[/tex]
[tex]d=-10-10[/tex]
[tex]=-20[/tex]
Substitute the values in the formula,
[tex]C(n)=10+(n-1)(-20)[/tex]
[tex]C(n)=10-20n+20[/tex]
[tex]C(n)=30-20n[/tex]
