What value of x will make the angle between the pottery and the arrowhead measure 57

Answer:

Step-by-step explanation:

Using the formula for calculating speed expressed as shown;

Speed = Distance/Time

Given parameters

Distance = 280miles

Speed = 50miles/hour

Required

Time it will take t return

From the formula above, Time = Distance/ Speed

Substituting the given parameters

Time = 280/50

Time = 5.6 hours

Hence the time it will take the driver to return is 5.6hours

Answer: 12,620,256

Step-by-step explanation:

Given: The camera shop socks eight different types of batteries and there re at least 31 batteries of each type.

Here we want to select r= 31 batteries from n= 8 kinds of batteries, then formula we use to find number of ways is [tex]^{n+r-1}C_r=\ ^{31+8-1}C_{31}[/tex]

[tex]=^{38}C_{31}=\dfrac{38!}{31!(38-31)!}\\\\=\dfrac{38!}{31!7!}\\\\=\dfrac{38\times37\times36\times35\times34\times33\times32\times31!}{31!\times5040}\\\\=12620256[/tex]

Hence, the number of ways can a total inventory of 31 batteries be distributed among the eight different types = 12,620,256

Answer: 16

Step-by-step explanation:

multiply -4 onto (3-6) and set 8÷2 off to the side for now

-4(3-6)

-12+24 combine them

12 then solve 8÷2 which is 4

12+4 = 16

Answer:

D

Step-by-step explanation:

equally likely or unlikely because it is 50%

Answer:

It is D hope this helps bud :)

Step-by-step explanation:

Answer:

12. The formula to estimate the amount of material required to cover firm 1's structure not including the floor is π·r² + π·r·h

13. 10445.8 unit²

Step-by-step explanation:

12. The given parameters are;

The shape of the firm 1's structure = Cylindrical shape

The radius of the firm 1's structure = 35

Height of firm 1 structure = 60

The amount of material to cover the firm 1 structure not including the floor = The surface area of a cylinder excluding the base

The formula for the surface area of a cylinder = 2·π·r² + π·r·h

Removing the area of the base, we have

The surface area of a cylinder excluding the case  = 2·π·r² + π·r·h - π·r² = π·r² + π·r·h

The formula to estimate the amount of material required to cover firm 1's structure not including the floor = π·r² + π·r·h

13.

The amount of material to cover firm 1's structure not including the floor = π × 35² + π × 35 × 60 = 10445.8 unit².

Answer:

She spent 33 minutes on her homework

Step-by-step explanation:

Answer:

Step-by-step explanation:

An hour is 60 minutes.

Taking 39 away from 60...

39 - 60 = 21

and adding 12 to it.

21 + 12 = 33

We have our answer:

Answer: Four is less than seven times z

Step-by-step explanation:

Answer:

Option (C)

Step-by-step explanation:

"If the two secants are drawn to a circle form an external points then the product of the measures of one secant segment (inside the circle) and its external segment will be equal to the product of measures of the other secant's segments."

By this property,

8(8 + x) = 9(9 + 7)

64 + 8x = 144

8x = 144 - 64

8x = 80

x = 10

Therefore, Option (C) will be the answer.

Answer:

He would have to pay $25.75

[tex]c=6.75p-1.25[/tex]

C is cost, p is pounds

6.75 per pound minus 1.25 with the coupon and you get the cost.

Answer - He would have to pay $25.75

Equation - C = 6.75p - 1.25

Answer:

rational

Step-by-step explanation:

Hello!

A rational number can be expressed as a ratio of two numbers in p/q form

A irration number cannot be expressed this way

5 1/25 is a rational number since it can be expressed as a ratio of two numbers which is 126/25.

Hope this helps!

[tex]\frac{51}{25}[/tex] is a rational number.

Rational numbers is a mathematical term that refers to the set of numbers that is expressed in a common fraction a / b. It can also be characterized because the denominator is not zero. For example

[tex]\frac{2}{8}[/tex], [tex]\frac{5}{10}[/tex], [tex]\frac{3}{9}[/tex]

On the other hand, irrational numbers are a set of numbers that cannot be expressed as a fraction. For example

π = 3.14159265358979323846…

According to the above, it can be inferred that the number [tex]\frac{51}{25}[/tex] is rational because it is expressed as a fraction.

Learn more in: https://brainly.com/question/17450097

Answer:

10

Step-by-step explanation:

4 1/2 + 5 1/2= 4+5+1/2+1/2=4+5+1=10

Answer:

Step-by-step explanation:

[tex]4\frac{1}{2}+5\frac{1}{2}\\\\\mathrm{Add\:whole\:numbers}\:4+5:\\\quad 9\\\\\mathrm{Combine\:fractions}\:\frac{1}{2}+\frac{1}{2}:\\\quad 1\\\\=9+1\\\\=10[/tex]

Answer:

420 flowers

Step-by-step explanation:

20 minutes = 240 flowers

1 minute =240/20 flowers

35 minutes = (240*35)/20 flowers

          The answer is 420 flowers.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Helen can collect 240 flowers in 20 minutes.

You need to find the number of flowers she can collect in 35 minutes.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

1: Find the unit rate of Helen collecting flowers. To find the unit rate, just divide 240 by 20, to see how many flowers she can collect per minute.

2: Multiply the number of flowers Helen can collect in 1 minute by 35 (since 1 times 35 is 35).

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

1: 240 divided by 20 is 12. Helen can collect 12 flowers per minute. The unit rate of Helen collecting flowers is 12 flowers per minute.

2: Since Helen can collect 12 flowers per minute, you need to find out how many she can collect in 35 minutes. To get from 1 minute to 35 minutes, you multiply 1 by 35. So you need to multiply 12 by 35 as well. 12 times 35 is 420. So Helen can collect 420 flowers in 35 minutes.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Answer:

x = -9

Step-by-step explanation:

6x + 6 = 3x – 21

Subtract 3x from each side

6x-3x + 6 = 3x-3x – 21

3x+6 = -21

Subtract 6 from each side

3x+6-6 = -21-6

3x = -27

Divide by 3

3x/3 = -27/3

x = -9

Answer:

[tex]\Huge \boxed{-2}[/tex]

Step-by-step explanation:

[tex]f(x)=-2x^2-2x+10[/tex]

For f(2), the input of the function is 2.

Let x = 2.

[tex]f(2)=-2(2)^2-2(2)+10[/tex]

Evaluate.

[tex]f(2)=-2(4)-2(2)+10[/tex]

[tex]f(2)=-8-4+10[/tex]

[tex]f(2)=-2[/tex]

Answer:

[tex]f(x) = - 2 {x}^{2} - 2x + 10[/tex]

put the value of x = 2

[tex]f(2) = - 2( {2}^{2} ) - 2(2) + 10[/tex]

[tex] f(2) = - 8 - 4 + 10[/tex]

[tex]f(2) = - 12 + 10[/tex]

[tex]f(2) = - 2[/tex]

hope it helps u

Answer:

Andrew must run 1 5/12 Laps to complete the race.

Step-by-step explanation:

Total lap run by Michael, Nate, Ben, and Andrew = 4 laps

laps run by Michael = 1 1/3 laps =(3+1)/3 =  4/3 laps

laps run by Nate =1/2 laps

laps run by ben =3/4 laps

Let laps run by Andrew = x

therefore

laps run by Michael + laps run by Nate + laps run by ben + laps run by Andrew = 4 laps

4/3 + 1/2 + 3/4 + x = 4

LCM of 3,2 and 4 is 12

=> (4*4 + 6*1 + 3*3+12x)/12 = 4

=> (16+6+9+12x)/12 = 4

=> 31+12x = 12*4 = 48

=> 12x = 48-31= 17

=> x = 17/12 = 1 5/12

Thus, Andrew must run 1 5/12 Laps to complete the race.

Answer:

[tex]\huge \boxed{x=35}[/tex]

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

Right angle ⇒ 90 degrees

90 + x + 55 = 180

Subtract 90 and 55 from both sides.

90 + x + 55 - 90 - 55 = 180 - 90 - 55

Simplify the equation.

x = 35

Answer:

x = 35°

Step-by-step explanation:

→ Remember that angles on a straight line add up to 180°

x + 90° + 55° = 180°

→ Collect the whole numbers

x + 145° = 180°

→ Minus 145° from both sides to isolate x

x = 35°

Answer:

A"(3, 0), B"(3, 2), C"(1, 1), D"(1, -1)

Step-by-step explanation:

Coordinates of A,B,C and D are,

A(2, 4), B(4, 4), C(3, 2) and D(1, 2)

Rule for the reflection over a line y = x,

(x, y) → (y, x)

Therefore, new image of ABCD will be,

A(2, 4) → A'(4, 2)

B(4, 4) → B'(4, 4)

C(3, 2) → C'(2, 3)

D(1, 2) → D'(2, 1)

Rule for translation [tex]T_{-1, -2}[/tex],

(x, y) → (x - 1, y - 2)

By this rule image of A'B'C'D' will be,

A'(4, 2) → A"(3, 0)

B'(4, 4) → B"(3, 2)

C'(2, 3) → C"(1, 1)

D'(2, 1) → D"(1, -1)

Answer:

Below

Step-by-step explanation:

● A = (sinO +cosO)^2 +(sinO -cosO)^2

●A = sin^2(O) +2×sinO×cosO +cos^2(O)+sin^2O-2×cosO×sinO +cos^2(O)

● A = sin^2(O) +cos^2(O)+sin^2(O)+cos^2(O)

We khow that cos^2 x + sin^2 x = 1

● A = 1+1

● A=2

Answer:

63.57817848

Step-by-step explanation:

all will be in degrees:

cos 40 sinx - sin 40 cos x = sin(x - 40) by the formula sin(A − B) = sinA cosB − cosA sinB

sin(x - 40) = 2/5

x - 40 = arcsin(2/5)

x - 40 = 23.57817848

x = 63.57817848 degrees

Answer:

x =  63.57817848

x = 196.4218215

Step-by-step explanation:

cos 40 sin x - sin 40 cos x = 2/5

sin x cos 40 - cos x sin 40 = 2/5

Using trig identities   sin(α – β) = sin(α) cos(β) – cos(α) sin(β)

sin ( x - 40) = 2/5

Rewriting as m = x-40

sin ( m) = 2/5

Taking the inverse sin of each side

sin ^-1 sin m = sin ^-1 (2/5)

m = 23.57817848

m = 180 -23.57817848  = 156.4218215

now find x

x -40 = m

x = m+40

x = 23.57817848 +40 = 63.57817848

x = 156.4218215 + 40 = 196.4218215

Answer:

THE TOTAL CHARGE WILL BE ZERO.

Step-by-step explanation:

BECAUSE ATOMS ARE NEUTRAL WHEN THE PROTONS AND ELECTRONS HAVE THE SAME CHARGE

HOPE THIS HELPS YOU IF IT DID PLZ CLICK ONTO THANKS AND MARK AS BRAINLIEST

Answer:

10i.

Step-by-step explanation:

We can rewrite sqrt(-100) as sqrt(-1) multiplied by sqrt(100).

sqrt(-1) is i and sqrt(100) is 10, so sqrt(-100) is 10i.

Answer:

0 + 10i

Step-by-step explanation:

for edge

Answer:

2500 gallons or water.

Step-by-step explanation:

Atlantic ocean contains 2 x 10¹⁶ gallons of water.

lake Ontario has approx 8 x 10¹² gallons of water.

req'd:

how many lake ontarios would it take to fill the Atlantic ocean in gallons of water?

= 2 x 10¹⁶ gallons of water

  8 x 10¹² gallons of water

= 2500 Lake Ontarios to fill The Atlantic Ocean

2500 times the gallons of water Lake Ontarios will take to fill the Atlantic Ocean region.

Given that,
The Atlantic Ocean region contains approximately 2 × 10^16 gallons of water.
Lake Ontario has approximately 8,000,000,000,000 gallons of water or 8 * 10¹².
To determine how many Lake Ontarios would it take to fill the Atlantic Ocean region in terms of gallons of water

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Lake Ontarios would it take to fill the Atlantic Ocean region
= 2 × 10¹⁶ / 8 * 10¹²
= 0.25 * 10⁴
= 2500 times the  gallons of water Lake Ontarios

Thus, 2500 times the gallons of water Lake Ontarios will take to fill the Atlantic Ocean region.

Learn more about ratios here:

brainly.com/question/13419413

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Answer:

The sum is

[tex]6 \sqrt{5} [/tex]

Step-by-step explanation:

Hey, there!!

Let's simply work with it,

[tex] = 4 \sqrt{5} + 2 \sqrt{5} [/tex]

As their bases are same, simply add them like,

[tex] = (4 + 2) \sqrt{5} [/tex]

[tex] = 6 \sqrt{5} [/tex]

Hope it helps...

Answer: 6[tex]\sqrt{5}[/tex]

Step-by-step explanation:

first collect like terms:     4[tex]\sqrt{5}[/tex] + 2[tex]\sqrt{5}[/tex] equals to (4+2)[tex]\sqrt{5}[/tex] , then just add 4 and 2 which equals to 6[tex]\sqrt{5}[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{ \frac{ - 2}{3} }}}}}[/tex]

Step-by-step explanation:

Let the points be A and B

A ( -13 , 15 ) ⇒( x₁ , y₁ )

B ( 20 , -7 )⇒( x₂ , y₂ )

Finding the slope :

[tex] \boxed{ \sf{slope = \frac{y2 - y1}{x2 - x1} }}[/tex]

plug the values

⇒[tex] \sf{slope = \frac{ - 7 - 15}{20 - ( - 13)} }[/tex]

We know that, [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]

⇒[tex] \sf{slope = \frac{ - 7 - 15}{20 + 13}} [/tex]

Calculate the sum

⇒[tex] \sf{slope = \frac{ - 22}{33} }[/tex]

Reduce the numbers with G.C.F 11

⇒[tex] \sf{slope = \frac{ - 2}{3} }[/tex]

Hope I helped !

Best regards!!

Step-by-step explanation:

Using absolute value to tell wether the sum of two integers is positive or negative.

Suppose we have a positive integer,

x and a negative interger, -x and we want to find their sum, we take the absolute values of each of the integers, that is |x| and |-x|. Then we subtract these values: |x| - |-x|. If the larger integer is positive, the result of the difference is positive, but if the larger number is negative, the result of the difference is negative.

For any integer x, x + (-x) = 0

Answer:

Hey there!

The slope of the line is 4, and the y-intercept is (7,0)

Let me know if this helps :)

Answer:

Only natural numbers (i.e., non-negative integers) can be the exponents of variables in a polynomial.

Step-by-step explanation:

The exponent of variables in a polynomial should be natural numbers ([tex]0[/tex], [tex]1[/tex], [tex]2[/tex], [tex]3[/tex], [tex]\dots[/tex].)

[tex]\sqrt{2\, x}[/tex] isn't a polynomial because the exponent of variable [tex]x[/tex] isn't a natural number. On the other hand, [tex]\sqrt{2}\, x[/tex] is indeed a polynomial over the set of real numbers.

Answer:

Yes

Step-by-step explanation:

Since it is mentioned that Jane saved $35 in a month from her allowance  also the starting amount is $100 and she saved $135 after month

So based on the above information, yes it makes the sense as it represents the relation between the saving amount and number of months considering one constant rate as it she saves the similar money amount for every month

Therefore, it is linear

Mercury has the greater density than that of Venus .

Answer:

mercury has higher density than venus

Answer:

54/25

Step-by-step explanation:

54/25 is the simplest form of 2.16 when writing as a fraction.