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Using proportions, it is found that, including the tax, she will spend $26.5625 on the hat.

A proportion is a fraction of a total amount.

In this problem, along with the $25, she pays a sales tax of 6.25% of the $25, hence:

Tax = 0.0625 x 25 = 1.5625.

Total = 25 + 1.5625 = 26.5625.

She will spend $26.5625 on the hat.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

36.87

Step-by-step explanation:

Using tan inverse of 9 over 12

Answer:

x ≈ 36.9°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{12}[/tex] , then

x = [tex]tan^{-1}[/tex] ([tex]\frac{9}{12}[/tex] ) ≈ 36.9° ( to the nearest tenth )

Answer:

Y= -1x-1

Step-by-step explanation:

The slope is going down in a 1 to 1 ratio, so the slope is -1. The line crosses the x axis at -1, so the y intercept is -1

Answer:

The answer is below

Step-by-step explanation:

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:

[tex]AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex]

Point J is at (-3, 3), point K is at (4, 3) and point L is at (1, -1). Hence:

The distance between K and L = KL = [tex]\sqrt{(-1-3)^2+(1-4)^2} =5\ units[/tex]

The distance between J and L = JL = [tex]\sqrt{(-1-3)^2+(1-(-3))^2} =4\sqrt{2} \ units[/tex]

The distance between K and J = JK = [tex]\sqrt{(3-3)^2+(-3-4)^2} =7\ units[/tex]

Therefore, the perimeter of triangle JKL is:

Perimeter = KL + JL + JK = 5 + 4√2 + 7 = 17.66 units

Answer:

∠ ABC = 48°

Step-by-step explanation:

Since AC = AB , the triangle is isosceles with the 2 base angles being congruent , that is

∠ ABC = ∠ ACB = 4x

The sum ot the 3 angles in a triangle = 180°

sum the angles and equate to 180

4x + 4x + 7x = 180

15x = 180 ( divide both sides by 15 )

x = 12

Then

∠ ABC = 4x = 4 × 12 = 48°

9514 1404 393

Answer:

  A.  (0, -3)

Step-by-step explanation:

Graphing the given points shows you the y-intercept is between them. The x-coordinate of the y-intercept is always 0, so the only viable answer choice is ...

  (0, -3)

Answer:

Step-by-step explanation:

The graph of g(x)=3(2)^x -5 is vertically stretched as compared with that of h(x) = 2^x.  Also, the graph of g(x)=3(2)^x -5 has been translated downward by 5 units.

To obtain the graph of g(x)=3(2)^x -5, we start by graphing g(x)= 2^x, whose y-intercept is (0, 1).  We then stretch this new graph vertically by a factor of 3; the y-intercept becomes (0, 3).  Finally, we translate the entire new graph downward 5 units.

it's a diamond and 120% heat yatyat Efren Reyes bata

Answer:

1,120 square feet

Step-by-step explanation:

Area of a rectangle = length × width

Length = 32 feet

Width = 35 feet

Area of a rectangle = length × width

= 32 feet × 35 feet

= 1,120 square feet

Therefore,

Area of the rectangular living room = 1,120 square feet

Answer:

1.03 * 10 ^6 > 9.8 * 10 ^5

Step-by-step explanation:

Positive exponents on powers of 10 are larger than negative exponents on powers of 10

The larger the power  the greater the number

4.10 * 10 ^3 > 5 * 10 ^-5

3.9 * 10 ^5 > 8.06 * 10 ^-7

1.03 * 10 ^6 > 9.8 * 10 ^5

7.8 * 10 ^2 < 2.1 * 10 ^3

1.03*10^{6}>9.8*10^{5

Answer:

4.01*10³<5*10^(-5)false

3.9*10^5<8.06*10^{-7}false

1.03*10^{6}>9.8*10^{5}true

7.8*10^{2}>2.1*10^{3}false

Answer: 25.13 m

Step-by-step explanation: pi x 2^2x 6= 25.13

3

This is an approximate number but it should be correct

:)

Answer: Yes.

Step-by-step explanation: Plug in your values. Does y=16 when x=4? 16 = 3(4) +4, which equals 16, so yes.

Answer:

D.    270º < x < 360º

Step-by-step explanation:

sin is negative in Quad III and IV

tan is negative in Quad II and IV

Therefor ∅ is in Qaud IV

270º < x < 360º

Answer:

z = -1

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

b is correct Step-by-step explanation: i took the test

Answer:

There are 6 significant figures in the numbers 1.00421

Step-by-step explanation:

Since 1.00421 starts with 1, we count from 1 to all the numbers to the right.

Hope this help

Pls mark me brainliest.

Answer:

1 / 5^11

Step-by-step explanation:

5^ -6  * 5 ^ -5

We know that a^ b * a^ c = a^( b+c)

5^ ( -5+-5)

5^ -11

We also know that

a^-b = 1/ a^b

1 / 5^11

Answer:

1/5^11

Step-by-step explanation:

5^-6 * 5^-5

5^-6+(-5)

5^-6-5

5^-11

1/5^11

Note : In multiplication if the bases are same then u can add their exponent and when the base have ngative exponent just do it's reciprocal.Then u the base will have positive exponent.

Answer:

Option B and D

Step-by-step explanation:

2^5/6^5

2x2x2x2x2/6x6x6x6x6

1/3^5 [after canceling]

3^-5

Also

2^5x6^-5

2+3=5 and 4+1.5=2SO BY ADDIDING IS 9

Answer:

m= -10/9

...........

Which equation can be used to solve a - 5 = 30

answer= a=30+5

HOPE THIS HELPS YOU......

Answer:

2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We are given a parabola with a vertex point of (2, 1) and a y-intercept of y = 4.

And we want to determine another point on the parabola.

Recall that a parabola is symmetric along the axis of symmetry, which is the x-coordinate of the vertex.

Note that since the y-intercept of the parabola is y = 4, this means that a point on our parabola is (0, 4).

To get from (2, 1) to (0, 4), we move two units left and three units up.

Since the parabola is symmetric along axis of symmetry, another point on the parabola will be two units right and three units up. This yields (2 + 2, 1 + 3) or (4, 4).

Our answer is A.

Answer:

Correct to 1dp

127.3 cm = 127.0 cm

86.5 cm = 87.0 cm

Upper limits:

127.0 cm = 127.05 cm

87.0 cm = 87.05 cm

Lower Limits:

127.0 cm = 126.95 cm

87.0 cm = 86.95 cm

upper limit of perimeter of rectangle:

P = 2(l+w)

= 2(127.05 + 87.05)

= 2(214.1)

= 428.2 cm

lower limit of perimeter of rectangle:

P = 2(l+w)

= 2(126.95 + 86.95)

= 2(213.9)

= 427.8 cm

therefore;

[tex]427.8 cm \leqslant perimeter < 428.2cm[/tex]

The upperbound and the lowerbound for the perimeter of the rectangle are;

Upper bound perimeter = 428.2 cm

Lower bound perimeter = 427.8 cm

To get the upper bound and Lower limits for the length and width, we need to first approximate them to 1 decimal place to get;

Length; 127.3 cm ≈ 127 cm

Width; 86.5 cm ≈ 87 cm

Thus;

Upper limit of length = 127.05 cm

Lower limit of length = 126.95 cm

Upper limit of width = 87.05 cm

Lower limit of width = 86.95 cm

Formula for perimeter of rectangle is;

P = 2(length × width)

Thus;

Upper bound perimeter = 2(127.05 + 87.05)

Upper bound perimeter = 428.2 cm

Lower bound perimeter = 2(126.95 + 86.95)

Lower bound perimeter = 427.8 cm

Read more on perimeter of rectangle at; https://brainly.com/question/17297081

Answer: 12.19 ft

Step-by-step explanation:

Given

Length of ladder is [tex]23 ft[/tex]

Angle of elevation is [tex]58^{\circ}[/tex]

Suppose the bottom of the ladder is x ft away from the bottom of the wall

from the figure, we can write

[tex]\Rightarrow \cos 58^{\circ}=\dfrac{x}{23}\\\\\Rightarrow x=23\cos 58^{\circ}\\\Rightarrow x=12.19\ ft[/tex]

Thus, the distance is 12.19 ft

Answer:

2.7549211e+26

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Answer:

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