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.
Help me my last assignment
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.
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
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.
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.
Help me figure out (25c + 35) please
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)
Find the area base = x+8 height x+7
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
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.
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
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.
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.
2 5/6 x 3 7/8 plss help
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!
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?
Answer:
4%
Step-by-step explanation:
310 /7759 x 100% = 4%
EASY 7TH GRADE MATH, WILL GIVE BRAINLIEST AND THANKS
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
Verify the following trigonometric identity: (csc x + cot x)^2 = cos x +1/ 1- cos x
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]
PLEASE HELP ILL GIVE BRAINLIEST
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°
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.
Answer:
45595
Step-by-step explanation:
plug in 7 for n and solve
This is the population 7 years after 2002(2009)
Graph 3x – 4y = 12 use slope intercept
What is the remainder when 7x^2- x^3is divided by x - 8?
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]
answer
y=-0.0241x^2+x+5.5
please help it due today?
Answer:
B. It has four right angles.
E. opposites side are parallel.
F. Diagonal are congruent.
please help if you understand this question!
Answer:
B. x=5, y=4
Step-by-step explanation:
the tiny triangle is 3x smaller so just divide those numbers by three
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
Answer:
20......................................................................................
Given a family with three children find the probability of the event the oldest two are girls given the oldest is a girl
Answer:
28.57% is the answer
Which of the following functions shows the cube root parent function,
F(x) =3sqrt xhorizontally compressed
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
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
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]
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
Answer:
hi can you give me some points because i did in fact "answer "your qyestion thank you
Step-by-step explanation:
Help please I need it DONT scam
Which coordinate grid shows points and plotted at (4.3)
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.
4x + 3/2x +9 solve for x
5 1/3 divided by 1 1/6
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
HELP ME PLEASEEEEEEE
Answer:
Left 5 spaces, then down 2 spaces
Step-by-step explanation:
A circle has a diameter of 46 cm. What is its radius?
Answer:
Step-by-step explanation:
radius = diameter/2 = 46cm/2 = 23 cm
(6y + 3) minus (3y + 6) when y=7
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