The arc measure of the arc BC is 155°.
What is the arc measure of an arc of a circle in degrees?A complete circle has an arc, that is, a central angle of 360°. whose sum of angles is shown below:
AD + AB + BC + CD = 360°
Where AD = 155°
Since the four angles are generated by two diameters, then we find that AD = BC and AB = CD. Hence:
2 · AD + 2 · AB = 360 Given
AD + AB = 180 Compatibility with multiplication / Existence of the multiplicative inverse / Modulative property
AB = 180 - AD Compatibility with addition / Existence of the additive inverse / Modulative property
AB = 180 - 155 Given
AB = 25 Definition of subtraction / Result
Then, the arc measure of the arc BC is 155°.
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Which graph represent y as a function of x
Solve the following equation for
G:2 (g-h) = b+4
If the equation 2(g - h) = b + 4 is solved for g. Then the value of g will be b/2 + h + 2.
What is the solution of the equation?A combination of equations solution is a collection of values x, y, z, etc. that enable all of the calculations to true at the same time.
The equation is given below.
2(g - h) = b + 4
Then solve the equation for the value of g. Then we have
2(g - h) = b + 4
g - h = b/2 + 2
g = h + b/2 + 2
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Let O be an angle in quadrant III such that cos 0 = -2/5 Find the exact values of csco and tan 0.
well, we know that θ is in the III Quadrant, where the sine is negative and the cosine is negative as well, or if you wish, where "x" as well as "y" are both negative, now, the hypotenuse or radius of the circle is just a distance amount, so is never negative, so in the equation of cos(θ) = - (2/5), the negative must be the adjacent side, thus
[tex]cos(\theta)=\cfrac{\stackrel{adjacent}{-2}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - (-2)^2}=b\implies \pm\sqrt{25-4}\implies \pm\sqrt{21}=b\implies \stackrel{III~Quadrant}{-\sqrt{21}=b}[/tex]
[tex]\dotfill\\\\ csc(\theta)\implies \cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{-\sqrt{21}}}\implies \stackrel{\textit{rationalizing the denominator}}{-\cfrac{5}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies -\cfrac{5\sqrt{21}}{21}} \\\\\\ tan(\theta)=\cfrac{\stackrel{opposite}{-\sqrt{21}}}{\underset{adjacent}{-2}}\implies tan(\theta)=\cfrac{\sqrt{21}}{2}[/tex]
can someone tell me how do I solve this. how is the result 2.40
we still have not learned log in school
Step-by-step explanation:
Properties used
logₐ a = 1log aᵇ = b log alog ab = log a + log bSee the steps below
- log (4*10⁻³) = - (log 4 + log 10⁻³) = (log 4 ≈ 0.6 rounded)- (0.6 - 3*log 10) = - (0.6 - 3*1) = - (0.6 - 3) = - (- 2.4) = 2.4If k=
t-5k
and k= 4, what is the value of t?
A) -28
B) -12
C) 12
D) 28
Answer:
24
Step-by-step explanation:
k = t - 5k
→ Substitute in k
4 = t - 20
→ Add 20 to both sides
24 = t
1. Suppose a circle is divided into congruent slices. Match each number of slices with
the resulting central angle measure of each slice.
A. 2.
1.45°
B.3
2. 60°
C.4
3. 72°
D.5
4. 120°
E. 6
5. 90°
F.8
6. 180°
Answer:
Step-by-step explanation:
congruent slices means all slices with same shape and angle
a circle has 360 (angle)
For 2, 180
For 3, 120
For 4, 90
For 5, 72
For 6, 60
For 8, 45
Gloria says the two expressions;
1/3 (9x + 48) - 12x and -4(2x +4) are ecuivalent. Is she correct?
Explain how you know.
Answer:
She is incorrect
Step-by-step explanation:
[tex]\begin{aligned}\dfrac{1}{3}(9x+48)-12x & =\dfrac{9}{3}x+\dfrac{48}{3}-12x\\ & = 3x+16-12x\\& = 16-9x\end{aligned}[/tex]
[tex]\begin{aligned}-4(2x+4) & =(-4)2x+(-4)4\\& = -8x-16\end{aligned}[/tex]
As [tex]16-9x\neq -8x-16[/tex] then she is incorrect.
She is incorrect
A whale is at the surface of the ocean tto breathe. What is the whale's elevation? Draw a numhber line
Answer:0
<—————|—————>
0
Step-by-step explanation:
Which of the following is equal to the rational expression below when x≠2 or
9?
4(x-2)
(x-2)(x-9)
The expression equivalent to the given expression is [tex]\frac{4}{x-9}[/tex]
Rational expressionsThis are expressions written as a ratio of two expressions. Given the rational expression
[tex]f(x) = \frac{4(x-2)}{(x-2)(x-9)}[/tex]
Since (x-2) is common in both numerator and denominator, they wil cancel out to have the function below;
[tex]f(x) = \frac{4(x-2)}{(x-2)(x-9)}=\frac{4}{x-9}[/tex]
Hence the expression equivalent to the given expression is [tex]\frac{4}{x-9}[/tex]
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The area of the triangle below is 33.37 square centimeters. What is the length of the
base?
Answer:
9.4 cm
Step-by-step explanation:
33.37x2=66.74÷7.1=9.4
Can someone check this screen shot out and help me pls?
Answer:
A
Step-by-step explanation:
positive, the longer she run, the longer she jump
Which of the equations is graphed below?
(A) y = -2x + 1/2
(B) y = -2x - 1
(C) y = -2x - 1/2
(D) y = -2x + 1
You know that 3 pencils and 7 pens cost $24 with 3 pencils and 3 pens cost $12 how many dollars are 4 pencils and 5 pens worth?
Find the volume of the prism.
Answer:
210
Step-by-step explanation:
V = B h
B = 8 1/3 * 4 1/5 = 35
V = 35*h
h= 6
35*6 = 210
Can someone help me PLEASE
Let's solve this problem step-by-step:
[tex]7 * 9 = (7*10)-(7*x)[/tex]
x: it is the delta in the equation given in your pictureWe know (7*10) - (7*x) is equivalent to the 7*(10-x)
⇒ based on the Distributive Properties
[tex]a*(b+c) = ab + ac[/tex]
[tex]7*(10+(-x))=(7*10)+(7*(-x)=(7*10)-(7*x)[/tex]
So:
[tex]7*9=7(10-x)\\9=10-x\\x=10-9\\x= 1[/tex]
Thus delta (the little triangle in this problem) in this case is 1
Answer: 1
Hope that helps!
please help me I will give brainliest
Answer:
c is the answer
Step-by-step explanation:
your welcome
Need help asap please help (brainlest if correct)
Answer:
Range at the start of the school year = 12 - 7 = 5
Range at the end of the school year = 12 - 8 = 4
Step-by-step explanation:
Hope this helps!
Answer:
12 - 7 = 5
12 - 8 = 4
helppppppppp 60 points
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
#1. Number of small cubes in the large solid ~
[tex]\qquad \sf \dashrightarrow \: 3 \times 3 \times 2[/tex]
[tex]\qquad \sf \dashrightarrow \: 18 \: \: small \: \: cubes[/tex]
#2. Volume of each small cube ~
[tex]\qquad \sf \dashrightarrow \: v = { \bigg(\dfrac{1}{3} \bigg) }^{3} [/tex]
[tex]\qquad \sf \dashrightarrow \: v = { \dfrac{1}{3 {}^{3} }}^{} [/tex]
[tex]\qquad \sf \dashrightarrow \: v = { \dfrac{1}{27{}^{} }}^{} \: \: m {}^{3} [/tex]
#3. Volume of large solid is :
[tex] \dashrightarrow \sf vol \: (small \: cube)\times\: no. \: of \: small \: cubes[/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{27} \times 18 [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{2}{3} \: \: {m}^{3} [/tex]
Answer:
hello!
Step-by-step explanation:
Please help on this square root problem
Rationalizing the denominator of the expression, it is found that the simplified expression is given by:
[tex]\frac{\sqrt{6}(12x + 20x^2) + 3\sqrt{x} + 5\sqrt{x^3}}{x(96x - x)}[/tex]
What is the expression that we have to simplify?It is given by:
[tex]\frac{3 + 5\sqrt{x^2}}{4\sqrt{6x^2} - \sqrt{x}}[/tex]
We rationalize the denominator, using the subtraction of perfect squares, hence:
[tex]\frac{3 + 5\sqrt{x^2}}{4\sqrt{6x^2} - \sqrt{x}} \times \frac{4\sqrt{6x^2} + \sqrt{x}}{4\sqrt{6x^2} + \sqrt{x}}[/tex]
Then, solving the expression:
[tex]\frac{(3 + 5\sqrt{x^2})(4\sqrt{6x^2} + \sqrt{x})}{16(6x^2) - x}[/tex]
[tex]\frac{12\sqrt{6x^2} + 3\sqrt{x} + 20x^2\sqrt{6} + 5\sqrt{x^3}}{96x^2 - x}[/tex]
[tex]\frac{\sqrt{6}(12x + 20x^2) + 3\sqrt{x} + 5\sqrt{x^3}}{x(96x - x)}[/tex]
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A circle has an area of 20cm. What is its diameter?
Answer:
should be 5.05
Step-by-step explanation:
rounded to nearest hundredth
Answer:
5.02
Step-by-step explanation:
Formula for area= π x r^2
(π is 3.14)
Formula for diameter= 2 x r
So all you basically have to do is go backwords with the first equation
20/π=6.36
Now you have 6.36, though you need to go even further back because of the ^2
√6.36=2.51
Now we have the radius, so stick that into the diameter formula
2 x 2.51
5.02 is the diameter :)
Find the value of x
What is the quotient of 28,435÷47?
PLEASE PLEASE HELP QUICKLY
Complete the ratio table to convert the units of time from hours to weeks or weeks to hours.
Hours
Weeks
168
1
1,008
5
The correct answers are 1008 hours are 6 weeks and 5 weeks are 840 hours.
What is the ratio?The ratio indicates how many times one number is to the other number.For example, if you have 4 chocolates and 2 cakes the ratio of the chocolates and the cake will be 2:1 which means that chocolate is 2 times then the cake.
It is given that 168 hours is equal to 1 week. we need to find 1008 hours has how many weeks and 5 weeks has how many hours.
1.) 1008 hours has how many weeks
168 hours = 1 week
1 hour = 1 / 168 weeks
1008 hours = 1008 / 168 = 6 weeks
So 1008 hours has 6 weeks
2.) 5 weeks has how many hours.
1 week = 168 hours
5 weeks = 5 x 168 hours
5 weeks = 840 hours
So 5 weeks will have 840 hours.
Therefore correct answers are 1008 hours are 6 weeks and 5 weeks are 840 hours.
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Answer:
hours weeks
168 1
1008 6
840 5
Step-by-step explanation:
A die is rolled 117 times with the results in the table below.
What is the experimental probability of rolling a 5 with this die?
Answer:
19/117
Step-by-step explanation:
Because the dice did land on 5, 19 times out of 117
Find the value of x. (‼️‼️‼️‼️
Answer: 5
Step-by-step explanation:
16. Hamster Heaven charges an annual fee of $20 plus $2.50 for each day of hamster
activities you attend. Hamster Fun World charges an annual fee of $35 plus $1 for each day
of hamster activities you attend. Write and solve a linear system using a method of your
choosing and explain which company you would use for your hamster and why. A graph is
included below if you would like to graph it. Make sure you identify your variables, check
your solution and write a sentence.
Answer:
hamster heaven
y=20+2.5x
hamster fun world
y=35+x
Step-by-step explanation:
by solving we get
x=10
y=45
by comparing the graph hamster fun world 8s cheaper on the long run
Mark Me Brainliest
A bag of marbles contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marble. What is the probability of reaching into the bag and selecting a yellow marble?
StartFraction 1 over 13 EndFraction
Total marbles = 13
Number of yellow = 2
probability of getting yellow = 2/13
simplify the expression
4(5+ -3x) +10
Answer:
30 - 12x or 6(5 - 2x)
Step-by-step explanation:
Given expression:
4[5 + (-3x)] + 10First, let us simplify the expression inside the parentheses;
⇒ 4[5 + (-3x)] + 10⇒ 4[5 - 3x] + 10Then, let us open the parentheses by simplifying the distributive property;
⇒ 4[5 - 3x] + 10⇒ 20 - 12x + 10Finally, let us simplify the expression by adding 10 to 20.
⇒ 20 - 12x + 10⇒ 30 - 12x[Optional] Factor the expression by putting the expression in parentheses.
⇒ 30 - 12x⇒ (30 - 12x)Since 6 is divisible to all the terms in the expression, we can divide 6 to all the terms in the expression and take "6" outside the parentheses.
⇒ 6(30/6 - 12x/6)⇒ 6(5 - 2x)Therefore, the simplified expression is 30 - 12x or 6(5 - 2x).
Erin wants to invest $3,600.00 in a savings account that pays 4.42% simple interest. How long will it take for this investment to reach a value of $6,700.00?
Round your answer to the nearest tenth of a year.
It will take
years for the investment to reach a value of $6,700.00.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6700\\ P=\textit{original amount deposited}\dotfill & \$3600\\ r=rate\to 4.42\%\to \frac{4.42}{100}\dotfill &0.0442\\ t=years \end{cases} \\\\\\ 6700=3600[1+(0.0442)(t)]\implies \cfrac{6700}{3600}=1+0.0442t\implies \cfrac{67}{36}=1+0.0442t \\\\\\ \cfrac{67}{36}-1=0.0442t\implies \cfrac{31}{36}=0.0442t\implies \cfrac{\frac{31}{36}}{0.0442}=t\implies 19.5\approx t[/tex]
geometry worksheet pls help me
Answer:
yes
Step-by-step explanation:
They too are congruent because they both have equal measure.