Answers
Answer:
Step-by-step explanation:
The area for the sector of a circle is
[tex]A_s=\frac{theta}{360}*\pi r^2[/tex] where theta is the measure of the central angle. We have some given values to fill in:
Area is 64π and the central angle is 90°, so all we have left to find is the radius. Filling into the equation:
[tex]64\pi =\frac{90}{360}*\pi r^2[/tex]
Let's get that solved for r-squared first:
[tex]\frac{360(64\pi )}{90\pi } =r^2[/tex]
Doing all the math on that gives us:
[tex]256=r^2[/tex]
Take the square root of both sides and get that r = ±16. BUT we know that lengths cannot be negative, so we disregard the -16 and say that the radius is 16 inches.
Related Questions
A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.
Answers
9514 1404 393
Answer:
113.57 square units
Step-by-step explanation:
The area of each of the 6 triangular faces is ...
A = 1/2bh
A = (1/2)(4)(6) = 12 . . . . square units
The area of the base is ...
A = (3√3)/2·s² . . . . . . for side length s
A = (3√3)/2×4² = 24√3 . . . . square units
Then the total area is ...
total area = base area + face area
= 24√3 + 6(12) = 24(3 +√3) ≈ 113.57 . . . square units
You want to visit your friend, John, at his house. You leave your house and walk down Oak Street which is at an angle 45◦ from Elm Street which is the street in front of your house. After walking 6 blocks, you arrive at John’s house. How far is Oak Street from Elm Street? Round to the nearest tenth of a block.
Use SOH CAH TOA to find d.
Answers
Answer:
4.2 blocks
Step-by-step explanation:
Using SOH CAH TOA
Distance d can be obtained using :
SOH ;
Sin θ = opposite / hypotenus
Hypotenus = 6
Opposite = d
θ = 45°
Sin 45° = d / 6
0.7071067 * 6 = d
4.2426406 = d
Hence, distance d, Oak street to Elm street is = 4.2 blocks
A clothing store donated a percent of every sale to hospitals. The total sales were $7,750 so the
store donated $310. What percent of $7,750 was donated to hospitals?
Answers
Answer:
4%
Step-by-step explanation:
310 /7759 x 100% = 4%
Help please I need it DONT scam
Which coordinate grid shows points and plotted at (4.3)
Answers
Answer:
B
Step-by-step explanation:
(x-coordinate, y-coordinate) and the horizontal axis refers to the x-axis and the vertical axis refers to the y-axis.
PLEASE HELP ILL GIVE BRAINLIEST
Answers
Answer:
x = 150°
Step-by-step explanation:
From the picture attached,
Segment AC and segment BC are the tangents to circle O.
By the property of angle between tangent and the radius of a circle,
"Angle between the radius and tangent drawn to the circle is 90°"
m(∠OAC) = m(∠OBC) = 90°
Sum of opposite angles of the quadrilateral OBCA is 180°,
m(∠OAC) + m(∠OBC) = 180°
Therefore, quadrilateral OBCA is a cyclic quadrilateral.
By the same property of cyclic quadrilateral,
m(∠AOB) + m(∠ACB) = 180°
x° + 30° = 180°
x = 180 - 30
x = 150°
please help it due today?
Answers
Answer:
B. It has four right angles.
E. opposites side are parallel.
F. Diagonal are congruent.
a Clark $200 per week. she also receive a commission a 20% of her weekly salary every time she cells an Appliance. how many appliances must the clark sell in order to gtow $800 per week?
A.15
B. 40
C. 10
D. 50
E. 20
Answers
Answer:
20......................................................................................
Help me figure out (25c + 35) please
Answers
Answer:
izoom out,its too close
Answer:
5(5c + 7)
Step-by-step explanation:
Common factor of 25 and 35:
5
Simplified:
5(5c + 7)
answer
y=-0.0241x^2+x+5.5
Answers
Help me my last assignment
Answers
Guys i figured itvall put so brainly starst with a b right? What word starts with a b? BEE how many letters does bee have? 3. Whats a 3 letter word? mom. What does the o in mom stand for? obrain remove the o and its brain AND BRAIN-LY cracked the code
Answers
Answer:
hi can you give me some points because i did in fact "answer "your qyestion thank you
Step-by-step explanation:
PLEASE HELP! WILL GIVE BRAINLIEST!
Create a factorable polynomial with a GCF of 6. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.
Answers
Answer:
Answer: the equivalent form of 6(2x+3x+10) are 12x+18x + 60 and 30x+60.
Hope this helps
Answer:
The equivalent form of 6(2x+3x+10) is 12x+18x + 60 and 30x+60.
Explanation:
12x+18x + 60 is one of the equivalent form of 6(2x+3x+10) To get another equivalent form we combine like terms.
30x + 60 is the equivalent form of 6(2x+3x+10)
Enter the product as a product of a hole number and unit fraction. 2 x 5/4.
Answers
An arm wrestler is the champion for a period of 75 hours. (Here, by an hour, we mean a period starting from an exact hour, such as 1 P.M., until the next hour.) The arm wrestler had at least one match an hour, but no more than 125 total matches. Show that there is a period of consecutive hours during which the arm wrestler had exactly 24 matches.
Answers
Answer:
The answer is "In the i-th to J-th hour, the Wrestler played only 24 match-ups".
Step-by-step explanation:
Let [tex]x_i[/tex] label the number of teams played by the wrestler for [tex]1 \leq i \leq 75[/tex], after i-th hour, where [tex]1 \leq x_i \leq 125[/tex]. This also means [tex]25 \leq x_i + 24 \leq 149[/tex]. The Pigeonhole Principle means that [tex]\ni i \neq j \ni x i+ 24 = x ,j[/tex] is played exactly 24 matches between the i-th and j-th-hours end. Thus, 150 integrals [tex]x_1,x_2,......x_{75}, x_1+24,x_2+24.[/tex] In the i-th to J-th hour, the Wrestler played only 24 match-ups.
5 1/3 divided by 1 1/6
Answers
Answer:
4 4/7
Step-by-step explanation:
16/3 ÷ 7/6 is the same as 16/3 × 6/7
this comes out to be 32/7 or 4 4/7
Answer:
10/7
Step-by-step explanation:
use the desmos calculator its pretty helpful
Verify the following trigonometric identity: (csc x + cot x)^2 = cos x +1/ 1- cos x
Answers
9514 1404 393
Explanation:
As written, the equation is not an identity. Perhaps you want to show ...
(csc(x) +cot(x))² = (cos(x) +1)/(1 -cos(x))
__
We will transform the left-side expression to the form of the right-side expression.
[tex](\csc(x)+\cot(x))^2=\left(\dfrac{1}{\sin(x)}+\dfrac{\cos(x)}{\sin(x)}\right)^2=\dfrac{(1+\cos(x))^2}{\sin(x)^2}\\\\=\dfrac{(1+\cos(x))^2}{1-\cos(x)^2}=\dfrac{1+\cos(x)}{1-\cos(x)}\cdot\dfrac{1+\cos(x)}{1+\cos(x)}=\boxed{\dfrac{\cos(x)+1}{1-\cos(x)}}[/tex]
(6y + 3) minus (3y + 6) when y=7
Answers
Answer:
y
Step-by-step explanation:
((((2•3y3) - 22y2) - 3y) - —) - 2
y
STEP
4
:
Rewriting the whole as an Equivalent Fraction
4.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using y as the denominator :
6y3 - 4y2 - 3y (6y3 - 4y2 - 3y) • y
6y3 - 4y2 - 3y = —————————————— = ————————————————————
1 y
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
6y3 - 4y2 - 3y = y • (6y2 - 4y - 3)
Trying to factor by splitting the middle term
5.2 Factoring 6y2 - 4y - 3
The first term is, 6y2 its coefficient is 6 .
The middle term is, -4y its coefficient is -4 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 6 • -3 = -18
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is -4 .
-18 + 1 = -17
-9 + 2 = -7
-6 + 3 = -3
-3 + 6 = 3
-2 + 9 = 7
-1 + 18 = 17
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Adding fractions that have a common denominator :
5.3 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
y • (6y2-4y-3) • y - (6) 6y4 - 4y3 - 3y2 - 6
———————————————————————— = ———————————————————
y y
Equation at the end of step
5
:
(6y4 - 4y3 - 3y2 - 6)
————————————————————— - 2
y
STEP
6
:
Rewriting the whole as an Equivalent Fraction :
6.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using y as the denominator :
2 2 • y
2 = — = —————
1 y
Checking for a perfect cube :
6.2 6y4 - 4y3 - 3y2 - 6 is not a perfect cube
Trying to factor by pulling out :
6.3 Factoring: 6y4 - 4y3 - 3y2 - 6
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -3y2 - 6
Group 2: 6y4 - 4y3
Pull out from each group separately :
Group 1: (y2 + 2) • (-3)
Group 2: (3y - 2) • (2y3)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
6.4 Find roots (zeroes) of : F(y) = 6y4 - 4y3 - 3y2 - 6
Polynomial Roots Calculator is a set of methods aimed at finding values of y for which F(y)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers y which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 6 and the Trailing Constant is -6.
The factor(s) are:
of the Leading Coefficient : 1,2 ,3 ,6
of the Trailing Constant : 1 ,2 ,3 ,6
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 1.00
-1 2 -0.50 -5.88
-1 3 -0.33 -6.11
-1 6 -0.17 -6.06
-2 1 -2.00 110.00
Note - For tidiness, printing of 13 checks which found no root was suppressed
Polynomial Roots Calculator found no rational roots
Adding fractions that have a common denominator :
6.5 Adding up the two equivalent fractions
(6y4-4y3-3y2-6) - (2 • y) 6y4 - 4y3 - 3y2 - 2y - 6
————————————————————————— = ————————————————————————
y y
Polynomial Roots Calculator :
6.6 Find roots (zeroes) of : F(y) = 6y4 - 4y3 - 3y2 - 2y - 6
See theory in step 6.4
In this case, the Leading Coefficient is 6 and the Trailing Constant is -6.
The factor(s) are:
of the Leading Coefficient : 1,2 ,3 ,6
of the Trailing Constant : 1 ,2 ,3 ,6
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 3.00
-1 2 -0.50 -4.88
-1 3 -0.33 -5.44
-1 6 -0.17 -5.73
-2 1 -2.00 114.00
Note - For tidiness, printing of 13 checks which found no root was suppressed
Polynomial Roots Calculator found no rational roots
Final result :
6y4 - 4y3 - 3y2 - 2y - 6
————————————————————————
y
Answer:
72 I think, I don't rly know use a calculator lol
please help if you understand this question!
Answers
Answer:
B. x=5, y=4
Step-by-step explanation:
the tiny triangle is 3x smaller so just divide those numbers by three
HELP ME PLEASEEEEEEE
Answers
Answer:
Left 5 spaces, then down 2 spaces
Step-by-step explanation:
Solve for x.
15x + 6 = 10x + 21
O x=5
O x= 5 2/5
Ox= 3
Ox=-5 3/5
Will give you brainly
Answers
Answer:
3
Step-by-step explanation:
15x+6=10x+21
5x=15
x=3
Answer: x=3
Step-by-step explanation:
[tex]15x+6=10x+21\\5x+6=21\\5x=15\\x=3[/tex]
A circle has a diameter of 46 cm. What is its radius?
Answers
Answer:
Step-by-step explanation:
radius = diameter/2 = 46cm/2 = 23 cm
4x + 3/2x +9 solve for x
Answers
Given a family with three children find the probability of the event the oldest two are girls given the oldest is a girl
Answers
Answer:
28.57% is the answer
Consider the population of a small town that grows according to the explicit rule:
Pn = 45000 + 85n, where n is the number of years after 2002.
1. Find P7
2. Explain what the answer for P7 represents in terms of the application. (Your
explanation should include a reference to a year.)
Please help me before it is due.
Answers
Answer:
45595
Step-by-step explanation:
plug in 7 for n and solve
This is the population 7 years after 2002(2009)
What is the remainder when 7x^2- x^3is divided by x - 8?
Answers
Answer:
The remainder is -64
Step-by-step explanation:
Given
[tex]7x^2 - x^3[/tex]
Divided by [tex]x - 8[/tex]
Required
Determine the remainder
Equate [tex]x - 8[/tex] to 0
[tex]x - 8 = 0[/tex]
Solve for x
[tex]x = 8[/tex]
Using remainder theorem, substitute 8 for x in [tex]7x^2 - x^3[/tex]
So, we have:
[tex]7 * 8^2 - 8^3[/tex]
Evaluate all exponents
[tex]7 * 64 - 512[/tex]
[tex]448 - 512[/tex]
[tex]-64[/tex]
Find the area base = x+8 height x+7
Answers
9514 1404 393
Answer:
x² +15x +56
Step-by-step explanation:
We presume these are dimensions of a rectangle, so the area is their product.
A = (x +8)(x +7) = x(x +7) +8(x +7) = x² +7x +8x +56
A = x² +15x +56
Graph 3x – 4y = 12 use slope intercept
Answers
Plot -3 on the y axis then go up 3 and right 4
EASY 7TH GRADE MATH, WILL GIVE BRAINLIEST AND THANKS
Answers
Answer:
D. 8
Step-by-step explanation:
2p=16
divide both sides by 2 to get p alone
p=8
Answer:
The number of quarts of papaya juice in 1 quart of apply juice is 8.
Step-by-step explanation:
2p = 16
2p/2 = 16/2
p = 8
Which of the following functions shows the cube root parent function,
F(x) =3sqrt xhorizontally compressed
Answers
The function which shows the cube root of parent function is; Choice A; G(x) = ³√(1/4)x.
What is the function that shows the cube root of the parent function?It follows from task content that upon observation and test of values that;
At point x = 4, G(x) = 1.
This of course stands through for the graph and hence Choice A; is correct.
Read more on graph of functions;
https://brainly.com/question/3939432
#SPJ2
Answer:
Correct answer is C.
Step-by-step explanation:
Did the test
2 5/6 x 3 7/8 plss help
Answers
Answer:
Exact form: 925/48
Decimal form: 19.27083
Mixed number form: ↓↓↓↓
[tex]19 \times \frac{13}{48} [/tex]
Step-by-step explanation:
hope that helps :) have a good day!