[tex]\cos \angle H =\dfrac{\text{Base}}{\text{Hypotenuse}}= \dfrac{IH}{GH}=\dfrac{28}{53}[/tex]
What is the name of the line? *
GH is a tangent to the given circle.
What is a Tangent?A line that only touches a circle or an ellipse at one point is said to be tangential in geometry. If a line contacts a curve at point P, that point is referred to as the point of tangency. In other words, it is described as the line that, at that particular location, indicates the slope of a curve.
As per the given diagram:
The line segments AB, AC, DC and EF are drawn in the diagram also a line GH is drawn in the diagram.
A line GH is drawn such that it's extending from both of its end towards infinity, and it touches the circle at only one point, which is G. This satisfies all the conditions for the line GH to be a tangent.
Hence, GH is a tangent to the given circle.
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In Houston, 9 bats ate 50 grams of insects in one night. At this rate, how many grams of insects could 81 bats eat in one night?
Answer:
Step-by-step explanation:
Remark
Using Algebra, this is a proportion question. A proportion is 2 equal ratios
If the of the 2 ratio parts are known, it is possible to solve for the 4th one.
Formula
9_bats/50_grams::81_bats/x grams insects
Solution
Put the three knowns in and solve for the 4th which is not known
9 bats/ 50 insects = 81 bats /x insects. Cross multiply
9 * x = 50 * 81 Combine
9x = 4050 Divide by 9
9x/9 = 4050/9
Answer: x = 450 grams
Francis bought a new dress that was discounted by 21%. She used the following expression to find the price of the dress after the discount was applied.
d - (0.21)d
Which of the following is another expression that could be used to get the same results?
A.
79d
B.
d - 21
C.
d - 0.21
D.
0.79d
Answer:
D
Step-by-step explanation:
D . .79 d would be the same
d- .21d = (1-.21) * d= .79 d
What is the measure of each angle of a regular 17-gon? If necessary, round to the nearest tenth.
For a regular 17-gon, the measure of the internal angles is:
a = 158.8°
How to measure the internal angles?
The measure of the sum of the internal angles of a regular figure of N sides is:
(N - 2)*180°
For the case where N = 17, we have:
(17 - 2)*180° = 2,700°
That is the measure of the sum of the internal angles, and we have 17 of them, so the measure of each angle is:
2,700°/17 = 158.8°
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Determine the radius in metres Diameter=2230mm height=3130mm
Answer: 1.115 metres
Step-by-step explanation:
The radius is half the diameter.
2,230 mm / 2 = 1,115 mm
To turn mm into metres, we divide the length by 1,000.
1,115 mm / 1,000 = 1.115 metres
Answer:
1.115m
Step-by-step explanation:
[tex]radius = \frac{diameter}{2} \\ = \frac{2230}{2} \\ = 1115mm \\ = from \: mm \: to \: m \\ = \frac{1115}{1000} \\ 1.115m[/tex]
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Use the distributive property to fill in the blank. 8 x (6 - 5) = (8 x ?) - (8 x ?)
Hey there!
8 * (6 - 5)
= 8(6 - 5)
= 8(6) + 8(-5)
= 48 + (-40)
= 48 - 40
= 8
OR
8 * (6 - 5)
= 8(6 - 5)
= 8(1)
= 8
OR EVEN
8 * (6 - 5)
= (8 * ?) - (8 * ?)
= (8 * 6) - (8 * 5)
= 48 - 40
= 8
Thus, your answer is: (8 * 6) - (8 * 5)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
For his phone service, Manuel pays a monthly fee of $11, and he pays an additional $0.07 per minute of use. The least he has been charged in a month is
$104.45
What are the possible numbers of minutes he has used his phone in a month?
Use m for the number of minutes, and solve your inequality for m.
Step-by-step explanation:
M=?
=$104.45-$11
=93.45
$93.45÷0.07
=1335
He used 1335 minutes in month
Use Descartes’s rule of signs to determine the possible number of positive and negative real zeros of f(x)=8x^4-6x^3-4x^2-7x+3
let's recall Descartes rule of signs, to get the Real Positive ones we start by checking the sign changes for f(x), and to get the Real Negative ones we check the sign changes for f( -x ).
Check the picture below.
Guys help me pls I need the answer ASAP
Answer:
see below
Step-by-step explanation:
12^6 / 12^3 = 12 ^(6-3) 12^3
(9^3)^5 = 9^(3*5) = 9 ^ 15
The radius of the circle with a central angle of 2 radians that intercepts an arc with length 99 cm is
cm
[tex]\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =2\\ s=99 \end{cases}\implies 99 = r(2)\implies \cfrac{99}{2}=r\implies 49.5=r[/tex]
Factorise fully 21a-7a²
-7(a-3)a
hope it helps...!!!!
Factor 100xy+75xyz
Please help!
Answer:
25xy(4+3z)
Step-by-step explanation:
identify common factors
25xy*4+3z*25xy
group common factors
25xy(4+3z)
2 Mae has 36 orange slices. She will fill each of
7 bags with the same number of orange slices.
How many slices will be in each bag? How many
slices will be left over?
Answer:
5 with 1 left.
Step-by-step explanation: 7 goes into 36 5 times.
5x7=35
36-35=1 left over.
Rewrite each equation without absolute value for the given conditions. y=|x-3|+|x+2|-|x-5| if -2
The equation y = |x-3| + |x+2| - |x-5| is an absolute value equation
The equivalent equation of y = |x-3| + |x+2| - |x-5| if -2 < x < 3 is y = x
How to rewrite the absolute value equation?The equation is given as:
y = |x-3| + |x+2| - |x-5|
The condition is given as:
if -2 < x < 3
Split and solve each term of the absolute value equation.
|x-3| = -(x - 3) = 3 - x....... because x < 3
|x+2| = x + 2 because -2 < x
|x-5| = -(x - 5) = 5 - x....... because x < 5
So, we have:
y = |x-3| + |x+2| - |x-5|
This gives
y = (3 - x) + (x + 2) - (5 - x)
Open the brackets
y = 3 - x + x + 2 - 5 + x
Evaluate the like terms
y = x
Hence, the equivalent equation of y = |x-3| + |x+2| - |x-5| if -2 < x < 3 is y = x
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Zoe wants to buy two pairs of jeans. The jeans at the mall cost $35 and are on special for buy one pair, get the second pair half off. The same jeans are on sale at a local boutique for 20% off the regular price of $38 plus an additional $10 off purchases over $50. Which is the better buy?
the average of 15 pupils in a room is 11. if a man of 27 years enter the room. what will be the new average age?
Answer:
12
Step-by-step explanation:
→ Find the total age of the children
15 × 11 = 165
→ Add the mans age
165 + 27 = 192
→ Divide by 16
192 ÷ 16 = 12
Please give me the answers to all three I will mark u brilliant
Answer:
First know the formula for the area of a circle;
A = π[tex]r^{2}[/tex]Where 'π' represents pi(3.14 or 22/7), and 'r' stands for the radius being squared.
For the first problem, we can see that 12 is our diameter.
And to find the radius, we need to find 1/2 of the diameter (half of the diameter), so;
D/2 = R
Replace with actual values;
12/2 = 6, 6 is our radius.
Now we plug this into our formula:
A = π[tex]r^{2}[/tex]
A = 3.14(6^2)
A = 3.14(36)
A = 113.04 centimetres is the area of the circle.
For the second problem, we can see that 18 is our diameter.
And to convert the diameter into the radius, we do what we did to the past problem, find 1/2 of the diameter.
So;
D/2 = R
18/2 = 9, 9 is our radius.
Now we plug this into our formula:
A = π[tex]r^{2}[/tex]
A = 3.14(9^2)
A = 3.14(81)
A = 254.34 inches is the area for this circle.
For the third problem, we can see that our radius is already given, 5.
So now we just simply and easily plug this into our formula;
A = π[tex]r^{2}[/tex]
A = 3.14(5^2)
A = 3.14(25)
A = 78.5 meters is the area for this circle.
Will someone please help <3
Answer:
area of base is 9pi
circumference of base is 6pi
lateral surface 24
surface area is 42
Step-by-step explanation:
What shape is this cross-section?
O A. Circle
OB. Trapezoid
O C. Rectangle
O D. Triangle
Answer:
C. rectangle is cross section shape
Using the slope formula, find the slope of the line through the given points.
12,0 and 2,-5
Answer:
[tex]\textsf{A.} \quad \textsf{The slope of the line is }\boxed{\dfrac12}[/tex]
Step-by-step explanation:
[tex]\textsf{let}\:(x_1,y_1)=(12,0)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(2,-5)[/tex]
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-0}{2-12}=\dfrac12[/tex]
[tex]\textsf{The slope of the line is }\boxed{\dfrac12}[/tex]
evaluate the expression 120n+160,500 when n=32 WILL MARK BRAINLIEST
Answer:
164,340
Step-by-step explanation:
[tex]120n+160500\\120(32)+160500\\3840+160500\\164340[/tex]
Put n=32
120(32)+1605003840+1605001643406. Kayla is planning to buy a new phone. Rongers charges $0 for down payment plus $127 monthly fee. Fidoll charges $363 for down payment plus $94 monthly fee.
a) When will the two plans charge the same amount (the same number of months for both plans)?
b) If both plans are contracted for 2 years (24 months), which plan would you recommend to Kayla? Explain.
The two plans charge the same amount in 11 months.
The plan I would recommend if the plans are contracted for two months is the Fidoll plan.
When will the two plans charge the same amount?
The equation that represents the amount that would be paid by Kayla if she buys the phone from Rongers is : $127x
Where x represents the number of months
The equation that represents the amount that would be paid by Kayla if she buys the phone from Fidoll is : $363 + $94x
Where x represents the number of months
The two above equations would be equal when the plan charge the same amount: $363 + $94x = $127x
Combine similar terms
$363 = $127x - $94x
Add similar terms
$363 = $33x
Divide both sides by 33
x = 11 months
Which plan would be recommended if the plan is for 2 years?
Rongers: $127(24) = $3,048
Fidoll = $363 + $94(24) = $2619
I would recommend the Fidoll plan
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"In order to pass your final assessment, you must answer 75% of the questions correctly. There are 84 questions." “Then, I must get __________ correct to pass.”
Answer: 63 questions
Step-by-step explanation: to find 75% of 84, multiply 84 by .75
Please help me with this question feedback would be appreciated!
Answer:
3/4
Step-by-step explanation:
There are 13 clubs in a standard 52-card deck
That means that 39 cards out of the 52 are not a club ( because 52-13=39)
So the probability of you not being dealt a club is 39/52 or 3/4
Hallar M=64(n+2)=141(5)
Ayuda en este ejercicio porfa :,(
Answer:
n≈9
n=9.015625
Step-by-step explanation:
64(n+2)=141(5)
Break up the parenthesis.
64n+128=705
Subtract 128 from both sides.
64n=577
Divide 64 from both sides.
577/64
Then you get your answer.
n≈9
Each side of a square window is 39 inches long. What is the window's perimeter?
Answer:
156
Step-by-step explanation:
39x4 = 156
Simple multiplication :)
Hope this helps, and please mark me brainliest!
Answer:
156
Step-by-step explanation:
p=4 a
p=4 x 39p=156Hi! I'm giving 35 points for this question! No scams or anything unrelated or you will get reported, thanks!
How could the relationship of the data be classified?
A fairly strong positive correlation
A fairly weak positive correlation
A fairly strong negative correlation
A fairly weak negative correlation
Answer:
A fairly weak positive correlation
Step-by-step explanation:
Answer:
B; A fairly weak positive correlation.
Step-by-step explanation:
Tip: You will know it's a negative if the line in the graph can be part of an N.
please help I'll mark brainliest
Answer:
The answer is D
Step-by-step explanation:
A statistical question is a question that can be answered by collecting data that vary.
A statistical question is one that can be answered by collecting data and where there will be variability in that data
The only one that can have a variety of answers is the last one.
A, B, and C are countable and do Not Vary or change in amount they remain the same. There will always be 12 months in a year. 3 wheels on a tricycle and the amount of stripes in the flag will not change. If the question ask something that can change or vary it is a Statistical question. Like for example "How many minutes do 6th grade students typically spend on homework each week?" and “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.
A Good Statistical Question Produces Data with Variability
A statistical question is one that requires the collection of data with expected variability in it. The data collected changes in value. You can quantify them. If the data could not be measured, then you have to think it over again.
A line that includes the point (10, 0) has a slope of 1/10 slope-intercept form? What is its equation in slope-intercept form?
Step-by-step explanation:
[tex](y - 0) = \frac{1}{10} (x - 10) \\ y = \frac{1}{10} (x - 10)[/tex]
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundred. Radius is 4 height is 10