Step-by-step explanation:
SE RESTAN ENTRE LOS NÚMEROS QUE TIENEN LA MISMA VARIAVLE.
[tex](5x^{2} + 25x^{2})[/tex] - (8x - 16x) + (9 + 9) = [tex]30x^{2}[/tex] - 24x + 18
Please help with this question
Answer:
a) 50π cm^2
b) π/8
Step-by-step explanation:
a) The formula for the area of a semicircle is ...
A = (1/2)πr^2 = (1/2)π(d/2)^2 = (π/8)d^2
For a diameter of 20 cm, the area is ...
A = (π/8)(20 cm)^2 = 50π cm^2 . . . . . the area of the semicircle
__
The formula for the area of a quarter circle is ...
A = (1/4)πr^2
For a radius of 20 cm, the area is ...
A = (π/4)(20 cm)^2 = 100π cm^2 . . . . . the area of the quarter circle
__
The shaded area is the difference of the areas of the quarter circle and semicircle:
shaded area = (100π cm^2) -(50π cm^2)
shaded area = 50π cm^2
__
b) The ratio of the shaded area to the square area is ...
shaded area / square area = (50π cm^2)/(20 cm)^2 = π/8
Find x in this proportion. x/3 = x+2/5 x =
[tex]x = 3 \\ solution \\ \frac{x}{3} = \frac{x + 2}{5} \\ or \: 5x = 3(x + 2)(cross \: multiplication) \\ or \: 5x = 3x + 6 \\or \: 5x - 3x = 6 \\ or \: 2x = 6 \\ or \: x = \frac{6}{2} \\ x = 3 \\ hope \: it \: helps[/tex]
write the equation in vertex form: Vertex is (1.-3) and passes through the point (-1,5)
Answer:
y = 2(x - 1)² - 3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, - 3), thus
y = a(x - 1)² - 3
To find a substitute (- 1, 5) into the equation
5 = a(- 1 - 1)² - 3
5 = (- 2)²a - 3 ( add 3 to both sides )
8 = 4a ( divide both sides by 4 )
a = 2
Thus
y = 2(x - 1)² - 3 ← in vertex form
1/6book
2/3hour
as a unit rate.
Answer:
4 hours per book
Step-by-step explanation:
The unit rate per book can be found when the number of books read is 1.
To make 1/6 into 1, you need to multiply by 6, meaning that you have to multiply the time taken by 6 as well.
2/3*6=4 hours per book
Hope this helps!
The interior angles of a triangle are 60,45and 75.the shortest side is 10cm less than the longest side, determine the perimeter of the triangle to the nearest cm.include a diagram please and thank you!!
Answer:
20 cm.Step-by-step explanation:
We know that the permiter is defined as
[tex]P=L+S+M[/tex]
Where [tex]L[/tex] is the longest side, [tex]S[/tex] is the smallest and [tex]M[/tex] is the middle side.
If [tex]L=x[/tex] then, [tex]S=x-20[/tex], where we need to find an expression for [tex]M[/tex] using the law of cosines.
[tex]M^{2} =L^{2}+S^{2}-2 \times L \times S \times cos(60\°)\\M=\sqrt{x^{2}+(x-20)^{2}-x(x-20)}\\M=\sqrt{x^{2} +x^{2}-40x+400-x^{2}+20x}=\sqrt{x^{2}-20x+400}[/tex]
Replacing all expression, the perimeter is
[tex]P=x+x-20+\sqrt{x^{2}-20x+400}\\P=2x-20+\sqrt{x^{2}-20x+400}[/tex]
Using a calculator, the perimeter is 20 units centimeters.
what is cos 60 degrees
Answer:
0.5
Step-by-step explanation:
Which word describes a triangle with three angles, if each angle measures less than 90°? Please help
Answer:
acute triangle
Step-by-step explanation:
If an angle measures less than 90 degrees it is an acute angle
A triangle with all acute angles is an acute triangle
Santiago wants to walk at least 500 miles before the end of this year. He has already walked 437 miles, and there are 36 days left in the year. Which inequality can be used to find , the number of miles he should walk each day to meet his goal?
Answer:
437+36x>=500
Step-by-step explanation:
This basically shows that 437 plus the x miles he will walk per day for 36 will total to more than or equal to 500
Answer:
C 437 + 36x >_ 500
Step-by-step explanation: its because the total amount is 500 miles so its alone on one side of the equation. Then we have 437 miles + 36 days with x as a amount of how many miles per day. so first subtract 437 out off 500 then divide it by 36 which gives u X which is the answer.
which numbers are solutions of the inequality x>-12 ? check all that apply.
-20
-12
-7
0.9
8.5
16
Answer:
- 7, 0.9, 8.5, 16
Step-by-step explanation:
It should be that x must be greater than - 12, so let us consider all options;
[tex]- 20 < - 12,\\- 12 = - 12,\\ - 7 > 12,\\ 0.9 > 12,\\8.5 > - 12,\\16 > - 12[/tex]
Let us substitute x as each of these values;
[tex]x < - 12,\\x = - 12,\\x > - 12,\\x > - 12,\\x > - 12,\\x > - 12[/tex]
As you can tell, the last 4 Options are applicable;
Solution ⇒ - 7, 0.9, 8.5, 16
The solutions to inequality are - 7, 0.9, 8.5, and 16.
What is inequality?In mathematics, an inequality is a relation that makes a non-identical contrast between two numbers or other mathematical expressions.
What are the 5 types of inequality math?greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), not equal to symbol (≠).Learn more about inequality here https://brainly.com/question/11613554
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The largest of the great pyramids in Egypt was built with a square base having edges measured 754 feet and a height of 418 feet. To the nearest cubic foot, what was the volume of the original structure
Answer:
[tex]79213229.3 ft^3[/tex]
Step-by-step explanation:
The great pyramids pf Egypt are square based pyramids.
The volume of a square based pyramid is:
[tex]V = a^2h/3[/tex]
where a = length of square base
h = height of pyramid
The pyramid has a square base measured as 754 feet and a height of 418 feet. Its volume is:
[tex]V = 754^2 * 418 / 3\\\\V = 79213229.3 ft^3[/tex]
Solve the proportion. What number is 20% of 40?
Answer:
What is 20 percent (calculated percentage %) of number 40? Answer: 8.
Step-by-step explanation:
happy to help ya:)
If x is 5, then 6x = _____
Answer:
30
Step-by-step explanation:
6(5)=30
// have a great day //
Answer:
30
Step-by-step explanation:
Practice:
1. What is the product of – 2x^3 + 8 and - 4x?
2. What is the product of yx^2and (6y^2x - yx)?
WRITE THE ANSWERS TO YOUR WORK IN HERE!!
9.3 × 10^{7} - 3.4×10^{6} = ?
Answer:
8.96 x 10^7
Step-by-step explanation:
9.3 x 10000000 - 3.4 x 1000000 = 93000000-3400000 = 89600000
89600000 can also be written as 8.96 x 10^7
A sector with a central angle measure of 4pi/5
(in radians) has a radius of 5 cm.
What is the area of the sector?
Answer:
10 pi
Step-by-step explanation:
25 pi
20 pi
10 pi
5 pi
C is the answer
The area of the shaded sector of the circle will be 10π units².
What is the Area of a Sector?Area of a sector of a circle = θ/360 × πr², where r is the radius of the circle and θ is the central angle.
As per the question, QR = 5 and m∠RQS = 4π/5 = 144°.
As per the given question given data:
θ = 4π/5
r = QR = 5
Substitute the values in the formula to get:
Area of sector of a circle = 144/360 × π(5)²
Area of sector of a circle = 1/4 × π(25)
Apply the multiplication operation, and we get
Area of a sector of a circle = 10π units²
Thus, the area of the shaded sector of the circle is 10π units².
Learn more about the area of a sector here:
brainly.com/question/22972014
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The question seems to be incomplete the correct question would be:
In circle Q, QR = 5 and m∠RQS = 4π/5. Find the area of the shaded sector.
Express your answer as a fraction times pi.
The height of the tower is five times the height of the building. If the tower is 52 meter taller than the building.then find the height of the tower
Answer:
Let, height of the Building = x
Height of the Tower = y
Height of the tower is 5 times from height of the building = y = 5x
Height of the tower is 52 meter taller than the building = y-x = 52
put 5x instead of y in the equation y-x=52
5x-x=52
4x=52
x=52/4
x=13 meter
y=5x
y=5(13)
y=65 meter
Convert 237 into binary system
Answer:
237 in binary is 0b11101101
Please see the attached picture for full solution
hope it helps....
Good luck on your assignment
Work out the value of 5² - 19 x 24
Answer:
5² - 19 * 24
= 25 - 456
= -431
Answer:
-431
Step-by-step explanation:
25-19x24
25-456
-431
Is the relation a function? Why or why not?
{(-8, -4).(-2, 0), (1, 3).(-2.6)}
Answer:
No it's not a function. (-2, 0) and (-2, 6) don't pass the vertical line test.
Step-by-step explanation:
what is the radius of circle O
Answer:
8.5 units
Step-by-step explanation:
first we gotta find the length of the diameter. they made it into a triangle, so we can use pythagorean theorem.
15² + 8² = c²
225 + 64 = c²
289 = c²
17 = c
so now we know that the length of the diameter is 17 units, so the radius would be half of that.
17 ÷ 2 = 8.5
so the radius is 8.5
The radius of the given circle, it can be calculate by using theorem of circle and it will come out, 13/2
What is Pythagoras theorem?It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).
Pythagoras theorem,
H² = A² + B²
Given that,
A circle which has diameter AOB,
Two chords are, AC & BC their lengths are respectively, 15 and 8 units
According to theorem of circle,
Angle made by end-points of diameter at any point on a circle is 90
Pythagoras theorem can be used here,
AB² = AC² + BC²
AB² = 12² + 5²
AB² = 169
AB = 13
Radius = AB/2
= 13/2
Hence, the radius is 13/2 units
To know more about Pythagoras theorem check:
https://brainly.in/question/54178582
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factored form of 2x*2+13x+20
Answer:
(2x+5)(x+4)
Step-by-step explanation:
After factoring we can find that it equals
(2x+5)(x+4)
Answer:
(2x +5) (x+4)
Step-by-step explanation:
2x*2+13x+20
(2x + )(x+ )
Factoring 20 into 4 and 5 so we can get 13 in the middle
(2x +5) (x+4)
2*4 +5 = 13 for the middle term
. The new saleswoman at Clocks Unlimited was very good. During her first day on the job she sold at least two of each of the three models that other salespeople found the most difficult to sell: the kitchen clock that sells for $17, the cuckoo clock that sells for $3 1, and the two-foot high grandfather clock that sells for $61. In all, she collected $300 from selling these models alone. How many $17 clocks did she sell? Justify your answer
Answer:
5
Step-by-step explanation:
Let the number of the kitchen clock sold =a
Let the number of the cuckoo clock sold =b
Let the number of the two-foot high grandfather clocks sold =c
The new saleswoman sold at least two of each of the three models.
Therefore:
[tex]a\geq 2\\b \geq 2\\c \geq 2[/tex]
In all, she collected $300 from selling these models alone
17a+31b+61c=300
17(2)+31(2)+61(2)=218
300-218=82
Next, we try to express the remainder (82) in terms of 17, 31 and 61
82=17(3)+31
Therefore, she sold:
5 kitchen clocks3 cuckoo clocks 2 two-foot high grandfather clocksShe sold 5 $17 clocks.
CHECK:
17(5)+31(3)+2(61)=$300
Which of the following is the factored form of the quadratic *
12x^2+5x-2=0
1.(4x - 1)(3x - 2)
2.(4x - 1)(3x + 2)
3.(4x + 1)(3x - 2)
Answer:
2
Step-by-step explanation:
[tex]12x^2+5x-2=\\\\(4x-1)(3x+2)[/tex]
You can check this by working backwards and expanding:
[tex](4x-1)(3x+2)=\\\\12x^2-3x+8x-2=\\\\12x^2+5x-2[/tex]
Hope this helps!
Charlotte has been working for her company for x years. Travis has been working for the same company exactly 3 years longer than Charlotte. What is the range of the relationship?
Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
We have,
Charlotte has been working for her company for x years.
Travis has been working for the same company exactly 3 years longer than Charlotte.
This means that Travis have 3 years extra than Charlotte.
So, the range of the relationship is
y>3.
Learn more about Inequality here:
https://brainly.com/question/30231190
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A candy company provides samples of fudge and truffles to their store visitors. The manager authorized the store to distribute up to 50 pieces of candy. The store expects to give away at least 20 pieces of fudge and at least 15 truffles
Answer:
hdhufhduh
Step-by-step explanation:
Help me please will mark brainliest
Answer:
-2 1/6
Step-by-step explanation:
A coin jar contains 10 quarters, 6 dimes, and 8 nickels. Find the probability that a dime is chosen at random from the jar and then a nickel is chosen at random from the jar.
Answer: 6 to 24
Step-by-step explanation:
I will mark you brainliest!!!! Which statement is true for f(x)=6•(7)x?
Answer:
D
Step-by-step explanation:
A. The domain of this function is infinite, since x can be any number.
B. To find the y intercept, you need to set x to 0. 7^x will become 1, and 6*1=6, so the y intercept is (0,6).
C. This function is not always decreasing. For instance, when x is positive, it exponenentially increases.
D. As I said before, the y intercept of the function is (0,6), meaning that this statement is correct.
Hope this helps!
What is the greatest decimal place value?
Answer:
Millionths
Step-by-step explanation:
It is the fartherst decimal place that thier is.
Which of the following are solutions to the equation below?
Check all that apply.
(4x-1)^2=11
Answer:
[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]
Step-by-step explanation:
Square root both sides:
[tex]4x - 1=\sqrt{11}[/tex] (There is supposed to be a ± sign but I couldn't do it on the equation thing)
[tex]4x=\sqrt{11}-1[/tex]
or
[tex]4x=-\sqrt{11} -1[/tex]
[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]
Answer:
PLEASE APPRECIATE IT
Step-by-step explanation:
Square root both sides:
4x - 1=\sqrt{11} (There is supposed to be a ± sign but I couldn't do it on the equation thing)
