Answer:
9.82 inches²
Step-by-step explanation:
both areas are equally sized, so they are both half of the whole circle.
circle area : pi × r²
half of the circle area is therefore pi × r² / 2
the picture gives us the diameter of the circle, the radius is half of the diameter.
=> r = 5/2 = 2.5
=> shaded area = pi × r² / 2 = pi × (2.5)² / 2 = 9.82 inches²
Please solve with explanation
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3
Answer:
I say A or B but in favor A
Step-by-step explanation:
Jina has scored 79, 85, 89 and 68 on her previous four tests. What score does she need on her next test so that her mean is 80?
Answer:
79
Step-by-step explanation:
79, 85, 89, 68 have a mean of 80.25 according to calculator.net. the number itself Is close to the number you want, in this case 80, i input 80, but it gave me a score of 80.2, so i tried again with 81, it gave me a score of 80.4, so the third attempt was successful with 79 being the input and 80 the output
calculator.net is approved on my school computer so there is a chance it is on yours as well.
Express the following in the form a +bi, where a and b are real numbers:
[tex] \sqrt{24 + 10i} [/tex]
Another accepted answer is -5-i, but if your teacher wants only one answer, then I'd go for 5+i
======================================================
Work Shown:
[tex]\sqrt{24+10i} = a+bi\\\\\left(\sqrt{24+10i}\right)^2 = (a+bi)^2\\\\24+10i = a^2+2abi+b^2i^2\\\\24+10i = a^2+2abi+b^2(-1)\\\\24+10i = a^2+2abi-b^2\\\\24+10i = (a^2-b^2)+(2ab)i\\\\[/tex]
Equating terms, we have this system
[tex]\begin{cases}24 = a^2-b^2\ \text{.... real terms}\\10 = 2ab\ \text{.... imaginary terms}\end{cases}[/tex]
Solve the second equation for b to get b = 5/a
Plug that into the first equation to solve for 'a'
[tex]24 = a^2-b^2\\\\24 = a^2-\left(\frac{5}{a}\right)^2\\\\24 = a^2-\frac{25}{a^2}\\\\24a^2 = a^4-25\\\\0 = a^4-24a^2-25\\\\a^4-24a^2-25 = 0\\\\(a^2-25)(a^2+1) = 0\\\\(a-5)(a+5)(a^2+1) = 0\\\\[/tex]
Setting each factor equal to zero would lead to...
a-5 = 0 solves to a = 5a+5 = 0 solves to a = -5a^2+1 = 0 solves to a = i and a = -iWe're told that 'a' is a real number, so we ignore the solutions "a = i and a = -i". The only possible solutions are a = 5 and a = -5
If a = 5, then,
b = 5/a = 5/5 = 1
So
[tex]\sqrt{24+10i} = a+bi = 5+1i = 5+i[/tex]
or in short,
[tex]\sqrt{24+10i} = 5+i[/tex]
-----------------
If a = -5, then b = 5/a = 5/(-5) = -1
So it's very possible that we could also say
[tex]\sqrt{24+10i} = -5-i\\\\[/tex]
If you wanted to combine the two we would use the plus/minus notation like so
[tex]\sqrt{24+10i} = \pm(5+i)\\\\[/tex]
This is due to (5+i)^2 and (-5-i)^2 both having the same result of 24+10i. Hence the plus/minus. If your teacher wants one answer only, then I'd go for 5+i, as we could consider it a "principal" square root in a sense.
Rewrite 7 x 7 x 7 x 7 x 7 using an exponent math
Answer:
7^5 (7 to the fifth power)
Step-by-step explanation:
those sevens can be represented by 7^5 because there are five sevens to multiply together
you can check the answer by doing 7 x 7 x 7 x 7 x 7=16807
and making sure that 7^5 is also equal to 16807, which it is.
Hope this helps! :)
Recursive formula for
-4,3,10,17
Answer:
Recursive:
Step-by-step explanation:
Common difference ( d ): 17 - 10 = 7
Recursive Arithmetic:
[tex]a_n = a_{n-1} + d[/tex]
[tex]a_n = a_{n-1} + 7[/tex]
[tex]a_1 = -4[/tex]
Hopefully this helped!
60 POINTS TO QUICKEST AND CORRECT ANSWER!
Let f(x)=2x and g(x)=2x. Graph the functions on the same coordinate plane. What are the solutions to the equation f(x)=g(x) ? Enter your answers in the boxes. x = or x =
Answer:
x=2
Step-by-step explanation:
Since the are the same equation they are already equal
Answer:
x=2
Step-by-step explanation:
In this diagram, radius AD = 5 mm, radius BD = 12 mm and chord
CD = 8 mm. Find the exact length of AB, in surd form.
Answer:
The exact length of AB is [tex]3 + 4\sqrt{10}[/tex] milimeters.
Step-by-step explanation:
Both triangles ACD and BCD are isosceles and triangles AEC, ADE, BDE and BCE are right-angled, where E is the point where line segments AB and CD meet each other. We can determine the exact length of AB by means of two horizontal right triangles (i.e. AEC, BCE) and the Pythagorean Theorem:
[tex]AB = \sqrt{AC^{2}-CE^{2}}+\sqrt{CB^{2}-CE^{2}}[/tex]
If we know that [tex]AD = AC[/tex], [tex]BC = BD[/tex], [tex]AC = 5\,mm[/tex], [tex]BC = 12\,mm[/tex] and [tex]CE = 4\,mm[/tex], then the exact length of AB is:
[tex]AB = \sqrt{(5\,mm)^{2}-(4\,mm)^{2}}+\sqrt{(12\,mm)^{2}-(4\,mm)^{2}}[/tex]
[tex]AB = 3 + 4\sqrt{10}\,[mm][/tex]
a sum is RS x. If 2 upon 3 of the sum is 20 find the sum
Answer:
Step-by-step explanation:
2/3*x=20
2x=20*3
x=60/2
x=30
Which would hold more water, a cube measuring 10 inches on all edges, or a cylinder with a height of 10 inches and a diameter of 10 inches. Why? Explain.
5dgji
Step-by-step explanation:
how???? ... hope it is good
Determine whether the relationship is a function or not. Explain why
why not!
Answer:
It is not a function because as seen through the mapping diagram, 14 is paired with more than one output. Hence, it is not a function because a function occurs when an input is paired with one, and only one output.
Step-by-step explanation:
hope this helps and is right. p.s i really need brainliest :)
Overnight the temperature in Chicago was -7F but by noon it had risen to 9 degrees F. What was the temperature in Chicago that afternoon?
Answer:
2 °F
Step-by-step explanation:
Overnight temperature = -7 °F
Total Noon temperature = 9 °F
What was the temperature in Chicago that afternoon?
Temperature in Chicago that afternoon = Total Noon temperature + Overnight temperature
= 9 °F + (-7 °F)
= 9 °F - 7 °F
= 2 °F
Temperature in Chicago that afternoon = 2 °F
what is the missing side-
Answer:
did u try looking it up lol?
Step-by-step explanation:
PLEASSSSSEE!! HELP ME! ^∆^
Applying the 30-60-90 Theorem, Solve this.
Answer:
Step-by-step explanation:
take 30 degree as reference angle
using cos rule
cos 30=adjacent/hypotenuse
[tex]\sqrt{3}[/tex]/2=12/y(do cross multiplication)
12*2=y[tex]\sqrt{3}[/tex]
24/[tex]\sqrt{3}[/tex]=y
8[tex]\sqrt{3}[/tex]=y
for x
using pythagors theorem
H^2=P^2+B^2
24^2=X^2+(8[tex]\sqrt{3}[/tex] )^2
576=X^2+192
576-192=X^2
384=x^2
[tex]\sqrt{384}[/tex]=x
8[tex]\sqrt{6}[/tex]=x
Heights of players on basketball team
qualitative Or quantitative?
Answer:
It is Quantitative.
Step-by-step explanation:
Quantitative data is information about quantities; information that can be measured with numbers.
Qualitative data describes qualities or characteristics; information collected using questionnaires, interviews, or observation, and frequently appears in narrative form.
Examples:
It is 25° Celcius today. - Quantitative
I drooled after smelling freshly baked cookies. - Qualitative
Tips:
Think of Quantitative as Quantity; numbers.
Think of Qualitative as Quality; description/characteristics.
8
Which of the following is a composite number between 80 and 100?
OA. 81
OB. 89
OC. 83
OD. 97
Answer:
OA. 81
Step-by-step explanation:
A composite number is a positive integer that can be formed by multiplying two smaller positive integers.
81 = 9 x 9
81 = 3 x 27
Grace needs to buy a new printer. The printer she wants has a price tag of $60. She has a 25% off coupon and $50 in her bank account. If she must pay 6.75% sales tax, will she have enough money to buy the printer? If yes, how much will she have left over? If no, how much is she short?
Answer:
Yes, she will have $1.96 left
Step-by-step explanation:
Initial cost : $60
Discount : 25%=0.25
Calculating discount : 60 * 0.25 = 15
Calculating cost after discount : 60-15 = 45
Sales tax : 6.75%=0.0675
Calculating sales tax : 45 * 0.0675 = 3.0375≈$3.04
Calculating final cost : 45+ 3.04 = $48.04
Can she buy the printer : 50 - 48.04= $1.96
Answer : yes
Yes, she has enough money to buy the printer. Then the balance of her account will be $ 1.9625.
What is percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
Grace needs to buy a new printer.
The printer she wants has a price tag of $60.
She has a 25% off coupon and $50 in her bank account.
If she must pay 6.75% sales tax.
Then the price of the printer after the discount of 25% and the sales tax of 6.75% will be
Cost = $ 60 x (1 - 0.25) x 1.0675
Cost = $ 60 x 0.75 x 1.0675
Cost = $ 48.0375
Yes, she has enough money to buy the printer.
Then the balance of her account will be
Balance = $ 50 - $ 48.0375
Balance = $ 1.9625
More about the percentage link is given below.
https://brainly.com/question/8011401
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What is the y-intercept of the line shown?
69
5-
4
3-
2-
1-
0
-4
-3
- 2
0
1
2
3
4
5
3
4
Amy buys eight apples that each weigh 150 grams. She notices that they are on sale for $3.00 per kilogram, how much will the apples cost? Prove your thinking.
Answer:
$3.60
Step-by-step explanation:
8 apples × 150 grams
1200 grams
1 kilogram = 1000 grams
x. = 1200 grams
X = 1.2 kg
1kg = $3.00
1.2kg =$3.6
The cost of 8 apples that have weight 1.2 kilograms is,
⇒ $3.60
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Amy buys eight apples that each weigh 150 grams.
And, She notices that they are on sale for $3.00 per kilogram.
Now,
Total weight of the apples is,
⇒ 8 × 150 grams
⇒ 1200 grams
⇒ 1.2 kilograms
Since, She notices that they are on sale for $3.00 per kilogram.
Hence, The cost of 8 apples that have weight 1.2 kilograms is,
⇒ $3.00 × 1.2
⇒ $3.60
Thus, The cost of 8 apples that have weight 1.2 kilograms is,
⇒ $3.60
Learn more about the multiplication visit:
https://brainly.com/question/10873737
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If two line segments are congruent, which of the following must be true?
A.
They are equal.
B.
They have equal lengths.
C.
They share an endpoint.
D.
They form a right angle.
They have equal lengths is the correct answer
Look at the picture
Its d because 16/12=1.33 same with 20/15 and 40/30 so its 24x1.33 which is 32 there for d is correct
Help please I don’t understand this
Answer:
c
Step-by-step explanation:
What is the area of a circular pizza with a radius of 9 cm?
O A. 1017.9 cm?
O B. 56.5 cm2
O C. 254.5 cm
O D. 28.3 cm2
someone helpp plss
Answer:
Step-by-step explanation:
C
The area of the circular shaped pizza is A = 254.5 cm²
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the pizza be r = 9 cm
The area A of a circle with radius r is given by the formula:
A = πr²
Substituting the given radius of 9 cm, we get:
A = π(9 cm)²
A = π(81 cm²)
A ≈ 254.47 cm²
Rounding to one decimal place, we get:
A ≈ 254.5 cm²
Hence , the area of the circular pizza with a radius of 9 cm is approximately 254.5 cm²
To learn more about circle click :
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what is the length of the right triangle below in inches?
Answer:
6in
Step-by-step explanation:
Using the pythagerous thereom,
10^2 = 8^2 + b^2
b^2 = 10^2-8^2
b^2 = 100-64
b^2 = 36
b = 6
Feel free to mark this as brainliest :D
Answer:
6
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
?^2 + 8^2 = 10^2
?^2 +64 = 100
?^2 = 100-64
?^2 = 36
Take the square root of each side
? = sqrt(36)
?= 6
One leg of a right triangle is 24. What is the length of the other leg if the hypotenuse is 25?
Answer:
Hello! answer: 7
Step-by-step explanation:
24 × 24 = 576
7 × 7 = 49
576 + 49 = 625
√625 = 25
therefore the missing leg is 7
Please help me with the question.
i need points srry
Step-by-step explanation:
ummm I’m so bad at math lol
The correct option is B - Where the given data is plot correctly.
help please i need it
Answer:
Around 140
Step-by-step explanation:
It's over 90 degree angle
is each pair of lines parallel perpendicular or neither
Answer:
perpendicular, parallel, neither, parallel
If the ray ML makes an angle measuring 2 radians with the ray MN, and the length of the arc intercepted by the angle is 72 inches, what is the radius of the window?
Answer:
36 inches
Step-by-step explanation:
From the diagram attached,
Applying
s = 2πr∅/360
Where s = lenght of the arc, r = radius of the window, ∅ = angle formed in degree, π = pie.
make r the subject of the equation
r = 360s/2π∅................... Equation 2
From the question,
Given: s = 72 inches, ∅ = 2 radians = 114.6°
Constant: 3.14
Substitute these values into equation 2
r = (360×72)/(114.6×3.14×2)
r = 25920/719.688
r = 36 inches