9514 1404 393
Explanation:
Consider the attached diagram.
Arc RB is centered at O and has a radius of 1. Angle ROD is designated angle α. It is duplicated as angle DOB, meaning that OD is the perpendicular bisector of chord RB. Triangles DFB and RGD are congruent (by HA). They are similar to triangle RDO by AA similarity.
Now, we can use the definitions of sine and cosine to find some segment lengths. Since the circle is of radius 1, the length RD is sin(α). Then, in triangle RGD, the length DG is sin(α)·cos(α). As we said, BF is congruent to DG, so the length BH is 2·sin(α)·cos(α). Again, by the definition of sine, BH = sin(2α). So, we have ...
sin(2α) = 2·sin(α)·cos(α) . . . . the desired relationship
Escribir la ecuación de la circunferencia de centro (3,4) y radio r = 2
It's due in 30 minutes!!
Answer:
14 cups = 7 pints
144 cups = 36 quarts
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST AND MAX POINTS!!!
(-8) x [tex]\frac{2}{3}[/tex] =
(-8) x (- [tex]\frac{2}{3}[/tex])
-[tex]\frac{18}{3}[/tex] =
[tex]\frac{18}{-3}[/tex] =
[tex]\frac{-18}{-3}[/tex] =
[tex](-8)*\frac{2}{3} = -\frac{16}{3}[/tex]
[tex](-8)*(-\frac{2}{3} ) = \frac{16}{3}[/tex]
[tex]-\frac{18}{3} = -6[/tex]
[tex]\frac{-18}{-3} = 6[/tex]
8th term of 24,20,50/3
Answer: 6.698
Step-by-step explanation:
Answer:
6.698
Step-by-step explanation:
Have a good day :)
Question is the answer someone please help me!!!!
Answer:
Min = 3
Max = 11
First Quartile = 6
Median = 7
Third Quartile = 9
Step-by-step explanation:
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Answer:
Your welcome
Step-by-step explanation:
PLZ HELP ME WILL MARK BRAINLIST AND 50 points IF THE ANSWER IS CORRECT!!!
Answer for the question:
It is B.
Use the intermediate value theorem to find the value of c such that f(c) = M. f(x) = x^2 - x + 1 text( on ) [1,8]; M = 21 c =
Answer:
[tex]c = 5[/tex]
Step-by-step explanation:
Given
[tex]f(c) = M[/tex]
[tex]f(x) = x^2 - x + 1[/tex]
[tex]Interval: [1,8][/tex]
[tex]M = 21[/tex]
Required
Find c using Intermediate Value theorem
First, check if the value of M is within the given range:
[tex]f(x) = x^2 - x + 1[/tex]
[tex]f(1) = 1^2 - 1 + 1[/tex]
[tex]f(1) = 1[/tex]
[tex]f(x) = 8^2 - 8 + 1[/tex]
[tex]f(x) = 57[/tex]
[tex]1 \le M \le 57[/tex]
[tex]1 \le 21 \le 57[/tex]
M is within range.
Solving further:
We have:
[tex]f(c) = f(x) = M[/tex]
[tex]f(x) = 21[/tex]
Substitute 21 for f(x) in [tex]f(x) = x^2 - x + 1[/tex]
[tex]21 = x^2 - x + 1[/tex]
Express as quadratic function
[tex]x^2 - x + 1 - 21 = 0[/tex]
[tex]x^2 - x - 20 = 0[/tex]
Expand
[tex]x^2 + 4x - 5x - 20[/tex]
[tex]x(x+4)-5(x+4)=0[/tex]
[tex](x - 5)(x+4) = 0[/tex]
[tex]x - 5 = 0[/tex] or [tex]x + 4= 0[/tex]
[tex]x = 5[/tex] or [tex]x = -4[/tex]
The value of [tex]x = -4[/tex] is outside the [tex]Interval: [1,8][/tex]
So:
[tex]x = 5[/tex]
[tex]f(c) = f(x) = M[/tex]
[tex]f(c) = f(5) = 21[/tex]
By comparison:
[tex]c = 5[/tex]
Angle x and Angle y are vertical angles. Angle x is 157 degrees. What is the measure of Angle y?
Answer: 157 degrees
Step-by-step explanation: Since vertical angles have the same measure and we're given that the measure of angle x is 157 degrees, then we know that the measure of angle y is also 157 degrees.
lus
Payton thought the mix would make 36
cookies, but it only made 28. What was
her percent error?
Round to the nearest percent .
Answer:Percent error=29%
Step-by-step explanation:
Percent error=(Estimated value-Actual value/ Actual value) × 100
Estimated value = amount of cookies Payton thought the mix could make = 36
Actual Value= Amount of cookies made= 28
Percent error= (36- 28)/ 28 x 100
=8/28 x 100
=0.2857 x 100
=28.57 rounded to 29%
-3(x - 1) + 9 = 15 find the varible
Answer:
x = -1
Step-by-step explanation:
-3(x-1) + 9 = 15
-3x + 3 + 9 = 15
-3x = 3
x = -1
Answer:
The variable (x) is -1.
Step-by-step explanation:
use the distributive property
-3(x - 1) + 9 = 15
-3x + 3 + 9 = 15
-3x + 12 = 15
-12 -12
-3x = 3
divide by -3
x = -1
F(x)=-x2-7x-5
Find f(-5)
Answer:
f(-5)=5
Step-by-step explanation:
the "-5" is telling us what to plug in for x. So, the new equation would be:
f(-5)= -(-5)^2-7(-5)-5
if we reduce, the expression would be
-25+35-5
our final answer would be 5.
2/3x=1/3 whats the awnser
Answer:
1/2
Step-by-step explanation:
I think so im not sure tho so sorry if its incorrect
Answer: x=1/2 is going to be your answer for this problem.
Match each percent with the fraction or decimal equivalent
Givin
m∠1 + m∠2 = m∠3 + m∠2
Reason
?
Answer:
m∠1 + m∠2 = m∠3 + m∠2= you
np UwU
What integer does the arrow indicate?
-9
-14
-3
6
Answer:
-9
Step-by-step explanation:
The arrow points to an negative number
The arrow points to -9
Answer:
-9
Step-by-step explanation:
-9)llkjsjsjdjdjsjjwjaksk
What is eight hundred seven thousand, eight hundred twenty five in standard form?
so you should write 8 in a box then under the box write what place it is like hundredth and you do the same for the rest
8 0 7 , 8 2 5
hundred thousandth^ and so on^
Triangle with base 21 in and height 14in
Answer:
A = (1/2)bh
Step-by-step explanation:
A = (.5)(21)(14)
can someone help me with this?
Answer:
p + 10
Step-by-step explanation:
We have an expression
"10 more than the number p"
How will you write the phrase?
The expression "10 more than the number p" shows that whatever amount p is, the total will always be 10 more of value than p. Therefore some type of adding is supposed to be here. Since this unknown value of a number will always be 10 more than p, we can come up to assume that p will be added by 10.
p + 10
All sneakers at Footlocker are 25% off. Mark wants to buy a $95 pair of Jordan's. How much will he have to pay for the Jordan's?
lus
Solve for x.
x = [?]
2x+16,
4x - 16
Enter
Answer:
i got x= 16/165
Step-by-step explanation:
What is the Surface Area of this Prism?
Total surface area:
792 in^2
Help
Don’t use for points or will be reported and take the points back
Answer:
A
Step-by-step explanation:
bc thats the one that makes more sense to me
Answer:
A
Step-by-step explanation:
It’s a, because equiangular triangle means having an equal angles
Anita knits 7 centimeter s of scarf each night. How many nights will Anita have to spend knitting in order to knit a total of 42 centimeters of scarf?
13 subtracted from a number x
would u write it as 13-x sorry im not that smart
Answer:
[tex]x-13[/tex]
Step-by-step explanation:
Answer:
Are you cheating on your test like other 100,000 ppl? it is x - 13
Step-by-step explanation:
E
cos(44-A). cos(44+A) + cos (46 -A).cos(46 +A) = cos2A
Answer:
-0.0777026243 A^5
Step-by-step explanation:
8x - 142 = 111 - 3x
Answer:
23
ch ch ch f good first off
Please solve this thank you :)
Answer:
Scale= 3 x=9 y=15
Step-by-step explanation:
Ms. Grant’s car gets between 20 and 22 miles per gallon, inclusive. The gasoline she uses costs between $4.20 and $4.50 per gallon, inclusive. What is the greatest amount Ms. Grant will spend on gasoline to drive her car 200 miles
Answer:
You need to be more clearer with the money amount not like 4.20 - 4.50
Step-by-step explanation:
Mrs. Rossi's vegetable garden is 11 Ft long and 8 ft wide, next to her flower garden, which is 6 ft by 5 ft. How many square feet of garden does Mrs. Rossi have in all?
Answer:
118ft²
Step-by-step explanation:
11 × 8 = 88
6 × 5 = 30
88 + 30 = 118
good luck, i hope this helps :)
Please help
The slope of a line determines the direction the line is traveling from left to right.
True o false?
Answer:
True
Step-by-step explanation:
The slope both the steepness and the direction of the line