Jacob went blueberry picking along a 3-mile walking path. He picked blueberries steadily along the walk. When he was finished, he had collected 50 ounces of blueberries.
How many ounces of blueberries did Jacob pick each mile?
Write your answer as a proper fraction or mixed number.

130 is your answer!  Look at line A. 130 degrees. now if A and B are parallel then 5 on line B will also be 130 degrees.

I hope this helps!

9514 1404 393

Answer:

  (a)  P = 44 cm + 18 cm + 18 cm = 80 cm

  (b)  396 cm²

  (c)  (i) see attached: radius = 7 cm; height ≈ 16.58 cm; slant height = 18 cm

  (c)  (ii) 7 cm

Step-by-step explanation:

(a) The length of arc PQR is given by the formula ...

  s = rθ . . . . . where r is the radius and θ is the angle in radians

The angle θ in radians is (140°)(π/180°) = (140)(22/7)/(180) = 22/9

So, the arc length is ...

  PQR = (18 cm)(22/9) = 44 cm

Then the perimeter of the figure is ...

  P = PQR +RO +OP = 44 cm + 18 cm + 18 cm

  P = 80 cm

__

(b) The area of a sector is given by ...

  A = 1/2r²θ = 1/2(rs)

  A = (1/2)(18 cm)(44 cm) = 396 cm² . . . area of the sector

__

(c) (i) A drawing of the cone is attached. The "slant height" is 18 cm. The radius is found in part (ii) as 7 cm. The height is given by the Pythagorean theorem:

  height = √((slant height)² - radius²) = √(18² -7²) = √275

  height ≈ 16.58 . . . cm

(ii) The length of arc PQR is the circumference of the base of the cone, given by ...

  C = 2πr . . . . where r is the radius of the base of the cone

Filling in the known values, we find ...

  44 cm = 2(22/7)r

  (44 cm)(7/44) = r = 7 cm . . . . . multiply by 7/44 to find r

The radius of the base of the cone is 7 cm.

Answer:

A radical is basically a fractional exponent and is denoted by the radical sign (√). The expression x2 means to multiply x by itself (x × x), but when you see the expression √x, you're looking for a number that, when multiplied by itself, equals x. Similarly, 3√x means a number that, when multiplied by itself twice, equals x, and so on. Just as you can multiply numbers with the same exponent, you can do the same with radicals, as long as the superscripts in front of the radical signs are the same. For example, you can multiply (√x × √x) to get √(x2), which just equals x, and (3√x × 3√x) to get 3√(x2). However, the expression (√x × 3√x) can't be simplified any further.

Answer:

5.86

Step-by-step explanation:

Answer:

x = 5.86

Step-by-step explanation:

x / 15 = cos67°

x = 15cos67°

x = 5.86

Answer:

7

Step-by-step explanation:

Here we have the hypotonouse and an angle

we are looking for the side opposite to the angle

this means we should use SOH

sin(26)=(x/16)

16*sin(26)=x

x=7.01393

which is closest to 7

Answer:

Explanation:

Answer:

D) 1:1

Step-by-step explanation:

Answer:  

11.0.0035

12.39×10^-4

13.)0.00031

14.59800

15.3.6×10^9

Step-by-step explanation:

Answer:

the correct answer is C....I hope

Answer:

[tex]gradient = - \frac{1}{3} \\ { \tt{equation \: is \: y = - \frac{1}{3}x + 3 }}[/tex]

Answer:

The equation of a perpendicular line to  

y =( -1/3 )x+b (b is a normal number)

Step-by-step explanation:

1.Use the slope-intercept form to find the slope.

Tap for more steps...

m = 3

2. the perpendicular line to y=3x+3

must have a slope that is the negative reciprocal of the original slope.

thus,

m perpendicular  =  −1/3

Answer:

Step-by-step explanation:

The information given is incomplete :

Answer:

x = 1/2(2083 - 3y)

y = 1/3(2083 - 2x)

Step-by-step explanation:

Let

Laptop cost = x

Earpiece cost = y

Number of laptops= 2

Number of earpiece = 3

2x + 3y = $2083

The cost per laptop :

2x = 2083 - 3y

Divide both sides by 2

x = (2083 - 3y) / 2

x = 1/2(2083 - 3y)

Or

3y = 2083 - 2x

y = (2083 - 2x) / 3

y = 1/3(2083 - 2x)

Answer:

Step-by-step explanation:

Its clear from the dot plot that:

So, the correct choice is C

The given information in the dot plot is,

i) An outlier is present at 10.

ii) The data's majority are concentrated at 0 to 4 interval.

iii) 10 is the only one, which is far away.

iv) We confirm that the data are skewed.

v) Because the most data is concentrated in one median's side.

Then the final answer will be,

C) The data are skewed and there is an outlier.

Therefore, option (C) is the answer.

Answer:

8 cm and 9 cm

Step-by-step explanation:

Hi there!

The sum of the lengths of two sides of a triangle must always be greater than the length of the third side.

5 cm and 8 cm ⇒ 5+8=13; not greater than 13

6 cm and 7 cm ⇒ 6+7=13; not greater than 13

7 cm and 2 cm ⇒ 7+2=9; not greater than 13

8 cm and 9 cm ⇒ 8+9=17; greater than 13

Therefore, the last set of two sides is possible for the lengths of the the other two sides of this triangle.

I hope this helps!

Answer:

36 inches = 0.000568182 miles

Answer:

10

Step-by-step explanation:

last year he planted 12.

1/3 of that is 12/3 = 4.

6 more than that is 4 + 6 = 10.

Answer: C.)  10

Step-by-step explanation:

Answer: hello there here is your answer:

17.5 feet

Step-by-step explanation:

Area of rectangle = Length x Width  

Length = Area/Width = 122.5 / 7 = 17.5 feet

hope this helps

have a god day bye

Answer:

25

Step-by-step explanation:

x + 25 = 50

=> x = 50 - 25

=> x = 25

Answer:

x = 25

Step-by-step explanation:

x + 25 = 50

Solve for x;

Step 1 :- Move 25 to the right-hand side and change their sign.

Step 2 :- Subtract 25 from 50.

Answer:

[tex]\rm\displaystyle 0,\pm\pi [/tex]

Step-by-step explanation:

please note that to find but α+β+γ in other words the sum of α,β and γ not α,β and γ individually so it's not an equation

===========================

we want to find all possible values of α+β+γ when tanα+tanβ+tanγ = tanαtanβtanγ to do so we can use algebra and trigonometric skills first

cancel tanγ from both sides which yields:

[tex] \rm\displaystyle \tan( \alpha ) + \tan( \beta ) = \tan( \alpha ) \tan( \beta ) \tan( \gamma ) - \tan( \gamma ) [/tex]

factor out tanγ:

[tex]\rm\displaystyle \tan( \alpha ) + \tan( \beta ) = \tan( \gamma ) (\tan( \alpha ) \tan( \beta ) - 1)[/tex]

divide both sides by tanαtanβ-1 and that yields:

[tex]\rm\displaystyle \tan( \gamma ) = \frac{ \tan( \alpha ) + \tan( \beta ) }{ \tan( \alpha ) \tan( \beta ) - 1}[/tex]

multiply both numerator and denominator by-1 which yields:

[tex]\rm\displaystyle \tan( \gamma ) = - \bigg(\frac{ \tan( \alpha ) + \tan( \beta ) }{ 1 - \tan( \alpha ) \tan( \beta ) } \bigg)[/tex]

recall angle sum indentity of tan:

[tex]\rm\displaystyle \tan( \gamma ) = - \tan( \alpha + \beta ) [/tex]

let α+β be t and transform:

[tex]\rm\displaystyle \tan( \gamma ) = - \tan( t) [/tex]

remember that tan(t)=tan(t±kπ) so

[tex]\rm\displaystyle \tan( \gamma ) = -\tan( \alpha +\beta\pm k\pi ) [/tex]

therefore when k is 1 we obtain:

[tex]\rm\displaystyle \tan( \gamma ) = -\tan( \alpha +\beta\pm \pi ) [/tex]

remember Opposite Angle identity of tan function i.e -tan(x)=tan(-x) thus

[tex]\rm\displaystyle \tan( \gamma ) = \tan( -\alpha -\beta\pm \pi ) [/tex]

recall that if we have common trigonometric function in both sides then the angle must equal which yields:

[tex]\rm\displaystyle \gamma = - \alpha - \beta \pm \pi [/tex]

isolate -α-β to left hand side and change its sign:

[tex]\rm\displaystyle \alpha + \beta + \gamma = \boxed{ \pm \pi }[/tex]

when is 0:

[tex]\rm\displaystyle \tan( \gamma ) = -\tan( \alpha +\beta \pm 0 ) [/tex]

likewise by Opposite Angle Identity we obtain:

[tex]\rm\displaystyle \tan( \gamma ) = \tan( -\alpha -\beta\pm 0 ) [/tex]

recall that if we have common trigonometric function in both sides then the angle must equal therefore:

[tex]\rm\displaystyle \gamma = - \alpha - \beta \pm 0 [/tex]

isolate -α-β to left hand side and change its sign:

[tex]\rm\displaystyle \alpha + \beta + \gamma = \boxed{ 0 }[/tex]

and we're done!

Answer:

-π, 0, and π

Step-by-step explanation:

You can solve for tan y :

tan y (tan a + tan B - 1) = tan a + tan y

Assuming tan a + tan B ≠ 1, we obtain

[tex]tan/y/=-\frac{tan/a/+tan/B/}{1-tan/a/tan/B/} =-tan(a+B)[/tex]

which implies that

y = -a - B + kπ

for some integer k. Thus

a + B + y = kπ

With the stated limitations, we can only have k = 0, k = 1 or k = -1. All cases are possible: we get k = 0 for a = B = y = 0; we get k = 1 when a, B, y are the angles of an acute triangle; and k = - 1 by taking the negatives of the previous cases.

It remains to analyze the case when "tan "a" tan B = 1, which is the same as saying that tan B = cot a = tan(π/2 - a), so

[tex]B=\frac{\pi }{2} - a + k\pi[/tex]

but with the given limitation we must have k = 0, because 0 < π/2 - a < π.

On the other hand we also need "tan "a" + tan B = 0, so B = - a + kπ, but again

k = 0, so we obtain

[tex]\frac{\pi }{2} - a=-a[/tex]

a contradiction.

Answer:

76°,60°

Step-by-step explanation:

sum of angles of a triangle=180

x+64+x+80+44=180

2x+188=180

2x=180-188=-8

x=-8/2=-4

so angles are -4+60=60°

and -4+80=76°

Answer:

44 units

Step-by-step explanation:

TS = TQ

2x + 8 = 40

2x = 32

x = 16

QV = SV

QV = 3x - 4

QV = 3(16) - 4

QV = 48 - 4

QV = 44

answer

71-17=54

82-28=54

93-39=54

60-06=54

Step-by-step explanation:

Answer:

d = 25

Step-by-step explanation:

[tex]\frac{d}{5} >4[/tex]

The value of d has to satisfy the inequality

so replace d with one of the given options

[tex]\frac{25}{5} >4[/tex]

We have to simplify the fraction first

[tex]\frac{25}{5} =5>4[/tex]

Answer:

1500

Step-by-step explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]

And , the number of tiles required will be ,

[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]

Hence the required answer is 1500 .

Step-by-step explanation:

here is the answer friend

Answer:

0.6944

Step-by-step explanation:

25/36 is 0.6944 in division

Answer:

12 liters per min

Step-by-step explanation:

Math

27/4 = x

9/16      1

27/4=(9/16)x

Divide both sides by 9/16

12=x

Answer:

[tex]2c+2b+17[/tex]

Step-by-step explanation:

-----------------------

Given:

[tex]2c-3b+6+7b-2b+11[/tex]

---------->>>>

Collect like terms.

[tex]2c+(-3b+7b-2b)+(6+11)[/tex]

---------->>>>

Simplify

[tex]2c+2b+17[/tex]

------------------------

Hope this is helpful.

Answer:

2c-2b+17 if using algebra

Step-by-step explanation:

firstly group like terms 2c+(-3b)+7b-2b+6+11

2c-2b+17

Answer:

lâp bảng  

Step-by-step explanation:

X=0 thì xác suất lấy ra được sản phẩm tốt là 5*30%=1,5%

X =1 thì xác suất lấy ra được là 1* 70%*4*30%=0,84%

X=2 thì xác suất lấy ra được sản phẩm tốt là 2*70%*3*30%=1,26%

X=3 thì xác suất lấy ra được sản phẩm tốt là 3*70%*2*30%=1,26%

X=4 thì xác suất lấy ra được sản phẩm tốt là 4*70%*1*30%=0,84%

X=5 thì xác suất lấy ra được sản phẩm tốt là 5*70%=3,5%

X 0 1 2 3 4 5

P 1,5 0,84 1,26 1,26 0,84 3,5

b,

E(x)= 1,5*0+ 0,84*1+1,26*2+1,26*3+0,84*4+3,5*5=28

E(x^2)=1,5*0^2+0,84*1^2+1,26*2^2+1,26*3^2+0,84*4^2+3,5*5^2=118,16

===> V(x)= (E(x))^2-E(x^2)=28^2-118,16=665,84

Answer:

1.2 books per month

12/10

Step-by-step explanation: