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Answer:

x = 12

Step-by-step explanation:

The sum of the two smaller angles is 140

80+5x = 140

Subtract 80 from each side

80+5x-80 =140-80

5x = 60

Divide each side by 5

5x/5 = 60/5

x = 12

If φ = arccos(-5/13), then cos(φ) = -5/13. Since this is negative, you know φ is an angle that terminates either the second or third quadrant.

arctan(x) has a range of -π/2 < arctan(x) < π/2, which is to say that arctan(x) is an angle that terminates in either the first or fourth quadrant.

These quadrants don't overlap, so there is no solution to the equation.

Answer:

Step-by-step explanation:

Look at the y-values as x-values are same for all tables.

We see that:

Step-by-step explanation:

s:t=2:3

t:u=2:3

s:u=?

s/u=2/3

Answer:

[tex]\sqrt{-16} +8[/tex]

[tex]=4i+8[/tex]

OAmalOHopeO

Answer:

a= 1

b= 3

c= 2

d= 2

e= 6

f= 8. These are the answers for the question. Love from Gauthmath

The standard exponential function is expressed as y =ab^x. The values of the variables are: b = c = 3, a = 1, d = 2,e = 6, f = 9

The standard exponential function is expressed as:

y =ab^x

wherex is the exponent

a is the base

According to the question, we are to fill the given table based on the given exponential functions.

If the exponential function is 2^x

a = 2^0 = 1

d = 2^1 = 2

If the exponential function is 3*2^x

b = 3* 2^0 = 3

e = 3 * 2^1 = 6

If the exponential function is 2^3x

c = 3^2(0) = 3^1 = 3

f = 3^2(1) = 3^2 = 9

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Answer:

35

Step-by-step explanation:

Answer:

hi ,

as you can observe the below

Answer:

30 minutes

Step-by-step explanation:

Walk rate = 88 paces/ minute

Average length of pace = 0.875 m

Time taken to walk 2.31 km ;

The distance in metres :

1000 m = 1 km

2.31 km = (1000 * 2.31) = 2310 m

Recall :

Time taken = distance / speed

Distance walked in a minute = 88 * 0.875 = 77 m

Time taken = 2310 / 77

Time taken = 30 minutes

Answer:

x=437.3 ft

Step-by-step explanation:

cos(29)=B/H, cos(29)=x/500. x=437.3 ft

Answer: x= 42.3

Step-by-step explanation:

Sqrt a^2 + b^2 - (2ab)(cos 100)

Sqrt 25^2 + 30^2 - (2)(25)(30)(cos 100)

42.3

Answer:

g(x) = -2(x - 6) - 7

Step-by-step explanation:

Sorry if I'm wrong

Answer:

10*(5) - 2*(2)^3

= 50 - 2*8

= 50 - 16

=34

Answer:

Step-by-step explanation:

với x=5 và y=2

phương trinh trở th a

10*  5 - 2 * 2^ 3

=50 -  2*8

=50 - 16

=34

Answer:

HOPE IT HELP YOU . Plz tell me if it is write or wrong .

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

Answer:

C

Step-by-step explanation:

The correct answer is C, love from Gauthmath

Answer:

the correct answer is option C

Step-by-step explanation:

(negative 7 x + 4)(negative 7 x minus 4)

Answer:

If angle C is supplementary to angle D, then angle D is 60 degrees.

If angle C is corresponding, vertical, alternate interior, or alternate exterior to angle D, then angle D is 120 degrees.

the person will travel 40 blocks in 16 minutes

Answer:

Hope this helps you

Answered by G a u t h m a t h

Answer:

3 GB over: $80 x GB over: $35+$15x

Step-by-step explanation:

First, 3 GB over is 3 times 15 plus 35, which equals 80. x GB over is x times 15 plus 35, hence the answer. Hope this helps!

For using 3GB of data more, she'll be charged $80.

a. Amount charged per month = $35

Amount charged for over-usage = $15 per gb.

Therefore, when she uses 3gb more, the amount charged will be:

= $35 + ($15 × 3)

= $35 + $45.

= $80

When she uses x gb more, the amount that she'll be charged will be:

= $35 + ($15 × x)

= $35 + 15x

= 35 + 15x

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Answer:

D

Step-by-step explanation:

The correct answer is D

Answer:

D

Step-by-step explanation:

y<2/3 x-1 is the answer

The solution is, at 500 miles, will the rental fee be the same under both plans A and B.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

from the given information, we get,

Plan A:   y = .2x + 75

Plan B:   y = .35x

Find an xy pair that satisfies both (intersection)

Substitute Plan B's y for Plan A

.35x = .2x + 75

.35x - .2x = 75

.15x = 75

x = 500

Hence, The solution is, at 500 miles, will the rental fee be the same under both plans A and B.

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Answer:

Step-by-step explanation:

y=3(x−3)^2+75

Answer:

(x - 3)² = - 25

Step-by-step explanation:

Given

- 3x² = - 18x + 102 ( add 18x to both sides )

- 3x² + 18x = 102 ( divide through by - 3 )

x² - 6x = - 34

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 3)x + 9 = - 34 + 9

(x - 3)² = - 25

Answer:the answer is D

Step-by-step explanation:

Answer:

4,3

Step-by-step explanation:

Rearrange the equation :

[tex] \sqrt{x - 3} = x - 3[/tex]

Then, we must square both sides:

x-3 = x²-6x+9

x²-6x+9-x+3=0

x²-7x+12=0

(x-4)(x-3) =0

So x =4,3

Answer:

x = 3, x = 4

Step-by-step explanation:

Given

[tex]\sqrt{x-3}[/tex] + 3 = x ( subtract 3 from both sides )

[tex]\sqrt{x-3}[/tex] = x - 3 ( square both sides )

x - 3 = (x - 3)²

x - 3 = x² - 6x + 9 ( subtract x - 3 from both sides )

0 = x² - 7x + 12 ← in standard form

0 = (x - 3)(x - 4) ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 4 = 0 ⇒ x = 4

As a check

Substitute these values into the equation and if both sides are equal then they are solutions

x = 3 : [tex]\sqrt{3-3}[/tex] + 3 = [tex]\sqrt{0}[/tex] + 3 = 3  = 3 = right side

x = 4 : [tex]\sqrt{4-3}[/tex] + 3 = [tex]\sqrt{1}[/tex] + 3 = 1 + 3 = 4 = right side

solutions are x = 3, x = 4

Answer: B

Step-by-step explanation:

We are given that a 45-45-90 triangle has a hypotenuse of [tex]7\sqrt{2}[/tex].

In a 45-45-90 triangle, the legs are congruent. Therefore we can use the Pythagorean Theorem to solve.

[tex]a^2+a^2=(7\sqrt{2})^{2}[/tex]         [combine like terms]

[tex]2a^2=(7\sqrt{2})^2[/tex]               [square root both sides]

[tex]a\sqrt{2} =7\sqrt{2}[/tex]                 [divide both sides by root 2]

[tex]a=7[/tex]

Now, we know that a leg is length 7, which is B.                

Answer:

1

Step-by-step explanation:

Since we are taking the area of a square, you can take the square root of its area to find the side lengths.

√1 = 1

Answer:

x=11

Step-by-step explanation:

The two angles add to a right angle which is 90 degrees

35+5x = 90

Subtract 35 from each side

35+5x-35 = 90-35

5x= 55

Divide by 5

5x/5 = 55/5

x = 11

To solve this question, we analyze the percentages, and doing this, we get that the percentage of total shoppers surveyed  intend to purchase only fruits or vegetables (not both) is 12.6%.

Percentages:

63% of the shoppers will make a purchase.

Of those, 80% purchase both fruits and vegetables.

Thus, 100 - 80 = 20% purchase only one.

Percentage of shoppers who purchase only one:

20% of 63%, so:

[tex]p = 0.2*0.63 = 0.126[/tex]

0.126*100% = 12.6%.

Thus, the percentage of total shoppers surveyed  intend to purchase only fruits or vegetables (not both) is 12.6%.

A similar example is given at https://brainly.com/question/24161830