Help...................

Answer:

sina

Step-by-step explanation:

Using the cofunction identity

cos(90 - x) = sinx , then

cos(120 - (30 + a) )

= cos(120 - 30 - a)

= cos(90 - a)

= sina

An expression is defined as a set of numbers, variables, and mathematical operations. Using a cosine function identity cos(120° − (30° + a)) can be written as sin a.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given cosine expression can be rewritten as,

cos(120° − (30° + a))

Opening the bracket, to simplify the angle,

= cos(120° − 30° − a)

= cos(90° − a)

Since the cosine and sine angles are complementary to each other, therefore, cos(90° − x) = sin(x), thus, we can write the expression as,

= sin a

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Answer:

52 feet long. i think... you might wany to double check that

Answer:

4/25

Step-by-step explanation:

Answer:

Repeating.    

Step-by-step explanation:

Answer:

The image of the point (0, -6) under the same translation is (-6, -12)

Step-by-step explanation:

Let us revise the rules of translation

∵ The coordinate of point P are (3, 8)

∵ The coordinates of its image P' are (-3, 2)

→ The x-coordinate is changed from 3 to -3, that means the point

   translated to the left by h units

∵ h = -3 - 3

∴ h = -6

→ The y-coordinate is changed from 8 to 2, that means the point

   translated down by k units

∵ k = 2 - 8

∴ k = -6

→ By using the rule above

∴ The rule of translation is (x, y) → (x - 6, y - 6)

∵ The coordinates of the point are (0, -6)

∴ The coordinates of its image are (0 - 6, -6 - 6)

∴ The coordinates of its image are (-6, -12)

Answer:

The distance from A(-1/4, 5) to the line -x + 2·y = 14 is approximately 1.7 units

Step-by-step explanation:

The shortest distance from a point to a line is the perpendicular from the line to the point

The equation of the given line is -x + 2·y = 14, which can be written in slope and intercept form as follows;

-x + 2·y = 14

2·y = 14 + x

y = 14/2 + x/2 = x/2 + 7

y = x/2 + 7

The slope, m₁ = 1/2 and the y-intercept = 7

Therefore, the slope, m₂, of the perpendicular line to the line -x + 2·y = 14 which was rewritten as y = x/2 + 7 is m₂ = -1/m₁ = -1/(1/2) = -2

Therefore, we have that the slope of the line from A(-1/4, 5) to the line -x + 2·y = 14, is -2

The equation of the line is therefore;

y - 5 = -2(x - (-1/4))

y - 5 = -2·x - 1/2

y = -2·x - 1/2 + 5 = -2·x + 9/2

y = -2·x + 9/2

The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is therefore given as follows;

-2·x + 9/2 = x/2 + 7

9/2 - 7= x/2 + 2·x

-2.5 = 2.5·x

x = -2.5/2.5 = -1

x = -1

y = x/2 + 7 = -1/2 + 7 = 6.5

y = 6.5

The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is (-1, 6.5)

The distance from A(-1/4, 5) to B(-1, 6.5), is given as follows;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Where;

(x₁, y₁) = (-1/4, 5), and (x₂, y₂) = B(-1, 6.5)

Plugging in the values, we have;

[tex]l_{AB} = \sqrt{\left (6.5-5 \right )^{2}+\left ((-1)-(-1/4) \right )^{2}} = \sqrt{\left (-0.75 \right )^{2}+\left (1.5 \right )^{2}} = \sqrt{\dfrac{45}{16} } = \dfrac{3}{4} \cdot \sqrt{5}[/tex]

[tex]l_{AB} = \dfrac{3}{4} \cdot \sqrt{5} \approx 1.677[/tex]

Therefore, the distance from A(-1/4, 5) to the line -x + 2·y = 14 ≈ 1.7 units, rounding to the nearest tenth.

Answer:

Step-by-step explanation: no work shown?

Answer:

10$

Step-by-step explanation:

just because

Answer:

$10

Step-by-step explanation:

What we know: you want to pay for 5 order of chicken nuggets.

Each order is $2

So...

5 orders of nuggies × $2

Total: $10 for nuggies

Answer:

There's no proportional relationship between number of laps and minutes.

Step-by-step explanation:

The graph given above is a straight line graph, however, it does not cut across the point of origin (0, 0). As a result of this, it would be difficult to get a constant of proportionality, as you'd likely get different constant of proportionality between different points on the line. Thus, the ratio of y and x for each set of points may vary.

So therefore, the relationship between the x and y cannot be proportional.

We can conclude that the graph does not represent a proportional relationship between number of laps and minutes.

Answer:

D

Step-by-step explanation:

graphing substitution and elimination

Answer:

Step-by-step explanationNote:

1

ml

=

1

cc

If the water rose

7

ml

−

2

ml

=

5

ml

then the stone had a volume of

5

ml

or

5

cc

With a mass of

25

g

it must have a density of

XXX

25

g

5

cc

=

5

g/cc

Answer:

Er... um... huh?

Step-by-step explanation:

WHAT IS THIS A CULT OR SUMTHIN'

Answer:

Slope W is 1/4, Slope Z is -4, Slope X is 1/4, Slope Y is -4

Step-by-step explanation: just did on edg and got it right

Answer:

1

Step-by-step explanation:

Anything to the power of 0 is 1

Hope I helped :)

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Answer:

-0.28

Step-by-step explanation:

(-6)-(-8)=2.

7-14=-7

2/-7=-0.28

Answer:

D=10

Step-by-step explanation:

38=3d -(-8)

38=3d+8

38-8=3d+(8-8)

30=3d

30/3=3d/3

10=d

=3d+

Not mathematics, but if I could be anything in the world, I'd be a bird.

I would be a pine cone cause it was an option                                                                                          

Given:

The number is [tex]\sqrt{125}[/tex].

To find:

The estimate value of given number.

Solution:

We have,

[tex]\sqrt{125}=\sqrt{5\times 5\times 5}[/tex]

It can be written as

[tex]\sqrt{125}=5\sqrt{5}[/tex]

We know that, [tex]\sqrt{5}\approx 2.236[/tex]. So,

[tex]\sqrt{125}=5(2.236)[/tex]

[tex]\sqrt{125}=11.18[/tex]

Approx the value to the nearest integer.

[tex]\sqrt{125}\approx 11[/tex]

Therefore, the required integer is 11.

Answer:

3

Step-by-step explanation:

-33+9=-24

-24+9=-15

-15+9=-6

-6+9=3

Answer:

3, 12, 21

Step-by-step explanation:

-33+9=-24

-24+9=-15

-15+9=-6

-6+9=3

3+9=12

12+9=21

Answer:

-2

Step-by-step explanation:

Answer:

angle four is vertical to angle 2

Answer:

angle 2 is vertical to angle 4

Answer:

20.6

Step-by-step explanation:

20.5664 = 20.6

Answer:

20.6 cm

Step-by-step explanation:

First find the circumference of a semicircle with diameter 8 cm

C = 1/2 ( pi d)

C = 1/2 ( 3.14 * 8)

C = 12.56cm

Then add the diameter to close the circle

12.56+8 = 20.56 cm

Round to 1 decimal place

20.6 cm

Answer:

The answer is below

Step-by-step explanation:

A linear equation is represented by the equation y = mx + b, where m is the rate of change, b is the value of y at x = 0, y is a dependent variable and x is an independent variable.

a) Given that number of chirps per minute, C is dependent on the temperature, T, when T = 45 degrees, C = 0, this can be represented as (45, 0).

Also at 75 degrees, C = 126 it can be represented as (75, 126).

Using (45, 0) and (75, 126), we can determine the equation of the line from:

[tex]C-C_1=\frac{C_2-C_1}{T_2-T_1}(T-T_1)\\ \\C-0=\frac{126-0}{75-45}(T-45)\\ \\C=4.2(T-45)\\\\C=4.2T-189\\\\[/tex]

b) At t = 90°:

C = 4.2(90) - 189

C = 189 chirps per min

a. The expression of the number of chirps should be C =  4.2T - 189

b. The number of chirps per minute should be 189 chirps per min.

Since The crickets do not chirp at all at 45 degrees and at 75 degrees they chirp about 126 times per minute.

So, here we used (45, 0) and (75, 126), we can measure the equation of the line from

[tex]C- C_1 = \frac{C_2-C_1}{T_2-T_1} (T_2 - T_1)\\\\C- 0 = \frac{126-0}{75-45} (T - 45)\\\\[/tex]

C = 4.2(T - 45)

C = 4.2T - 189

b. When T = 90 degrees

So,

C = 4.2(90) - 189

= 189 chirps

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Answer:

6 cupcakes per box

Step-by-step explanation:

divide 18 by 3

Answer:

-72

Step-by-step explanation:

-32+(2-6)(10)

-32+(-4)(10)

-32+(-40)

-72

Answer:

its -49

Step-by-step explanation:

i got it right on edge 2021

Answer:

274 1/3 long sleeve shirts

Step-by-step explanation:

Deal Finder is sorting its production supply of long-sleeve shirts. They have 1,089 long-sleeve shirts. The first 266 are donated

Hence,

1089 - 266

= 823 long sleeve shirts are left

The rest are split up to be shipped to 3 stores.

This is calculated as:

= 823 long sleeve shirts /3 stores

= 274 1/3 shirts

What fraction represents how many long-sleeve shirts each store will receive?

Each store will receive : 274 1/3 long sleeve shirts

Answer:

F

Step-by-step explanation: c=0.10m+30

Plzz give me brainliest

Answer:

[tex]-\sqrt2[/tex]

Step-by-step explanation:

csc 225 degrees is the multiplicative inverse of sin 225 degrees. sin 225 degrees. We can use a unit circle with radius of 1 to find out sin 225 degrees. a 225 degree rotation counter clockwise is equivalent to a 180 degree turn followed by a 45 degree turn. Therefore, the final value is going to be in the third quadrant, a 45 degree turn in. This means that sin(225 degrees) = [tex]-\sqrt2/2[/tex] The multiplicative inverse of that is [tex]-\sqrt2[/tex]