Linear Equation
24 + 6a = 6 - 4a
Please help me with this ASAP

Step-by-step explanation:

the other answer is correct and simple (based on simply applying definitions and formulas).

to help you with understanding the background there are actually 2 direct ways to solve this.

trigonometry is always about angles in a circle. even if and when we are taking about angles in other shapes like triangles. we simply need to imagine a circle around the shape in question going through the important points.

so the first way is to imagine a circle with the center in point C and going through point A.

the radius of that circle is 40 (AC).

so, sin(C) × 40 = 24

cos(C) × 40 = 32

tan(C) = sin(C)/cos(C) = (sin(C)×40)/(cos(C)×40) = 24/32

= 3/4

fit the second way imagine a circle with the center again in point C and going through point B.

the radius of that circle is 32 (BC).

here now tan(C) × 32 = 24 (AB).

yes, AB would in that scenario be directly tan(C), but it is multiplied by the radius.

so, to get the "pure" tan(C), we need to divide this length by the radius.

=> 24 / 32 = 3/4

Answer:

d)

#2

#3

Diagonals are perpendicular. Side length of the rhombus:

Perimeter:

Answer:

2/5.......................

Answer:

Option D

Step-by-step explanation:

By the property of intersecting chords,

If two chords are intersecting at a point inside a circle, product of lengths of the line segments on each chord is equal.

DI × EI = HI × GI

12 × EI = 8 × 6

EI = [tex]\frac{48}{12}[/tex]

EI = 4

Therefore, Option D is the correct option.

Answer:

C

Step-by-step explanation:

C is the right one

Answer:

(y2 -y1) / (x2 - x1)

Step-by-step explanation:

use that formula. The answer should be -3/0 which doesn't make sense. Are you sure you have your x values correct? Since in that case it would be a straight line and the equation for that would be x = 6 since it is a straight line up with no y intercept.

Hope that helped

Answer:

Undefined

Step-by-step explanation:

GIVEN :-

A line passes through two points , and their coordinates are given below :-

TO FIND :-

FORMULAE TO KNOW BEFORE SOLVING :-

Lets say there's a line passing through (x₁ , y₁) & (x₂ , y₂).

[tex]=> Slope \: of \: the \: line = \frac{Rise}{Run} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

SOLUTION :-

According to the question ,

[tex]=> Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-8 -(-5)}{6 - 6} = \frac{-8 + 5}{0} = \frac{-3}{0}[/tex] = undefined (∵ Anything divided by 0 is undefined.)

Answer:

17 just multiply the like dot product of vectors

Answer:

56.54

Step-by-step explanation:

Circumference of a circle = 2πr

However, this is a semicircle

Curved circumference of the semicircle = πr

Diametrical length = 2r

Therefore, circumference of a semi circle is πr + 2r

Circumference of a semicircle = πr + 2r

r = 11

Circumference of a semicircle = πr + 2r

= (3.14 * 11) + (2 * 11)

= 34.54 + 22

= 56.54

Answer:

Step-by-step explanation:

surface area=(a+b+c)*h

=(5+5+6)*5

=16*5

=80 cm^2

Answer:

1,260 helmets

Step-by-step explanation:

100/225 × 2,835 = 1,260

Answer:

Measurement of OP = 12

Step-by-step explanation:

Given:

R is mid point of OQ

S is mid point of PQ

RS = 18 – 4x

OP = -9 + 7x

Find:

Measurement of OP

Computation:

R is mid point of OQ and S is mid point of PQ;

By using mid point theorem

[1/2][OP] = RS

So,

[1/2][-9 + 7x] = [18 - 4x]

[-9 + 7x] = 2[18 - 4x]

-9 + 7x = 36 - 8x

7x + 8x = 36 + 9

15x = 45

x = 45 / 15

x = 3

So,

OP = -9 + 7x

OP = -9 + 7(3)

Measurement of OP = 12

Answer:

117

Step-by-step explanation:

Step-by-step explanation:

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Step-by-step explanation:

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9514 1404 393

Answer:

  B, D, E

Step-by-step explanation:

All of the acute angles are congruent to each other. All of the obtuse angles are supplementary to them and are also congruent to each other. Angles 2, 3, 6, 7 are supplementary to angle 4. The ones on the list of choices are ...

  ∠2, ∠6, ∠7

Answer:

C. 69.1

Step-by-step explanation:

Circumference formual = 2pi r

2 × 3.14 × 11

69.1cm

The circumference of the circle is 69.1 cm.

The circumference of a circle refers to the measure of its boundary. If we open a circle and measure the boundary just like we measure a straight line.

Given that a circle with radius 11 cm, we need to find the circumference of the circle,

Circumference = π × 2 × radius

= 3.14 × 2 × 11

= 69.1 cm

Hence, the circumference of the circle is 69.1 cm.

Learn more about circumference, click;

https://brainly.com/question/28757341

#SPJ7

Answer:

Step-by-step explanation:

36/16=90/r(since they are similar use this ratio)

do cross multiplication

16*90=36*r

1440=36r

1440/36=r

40=r

Answer:

[tex] \frac{36}{16} = \frac{90}{x} \\ x = 40 \: mm[/tex]

Answer:

BC ≈ 4.0

Step-by-step explanation:

∠ DCA = 180° - 70° = 110° ( adjacent angles )

∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle

∠ DAC = 180° - 140° = 40°

Using the Sine rule in Δ ACD to find common side AC

[tex]\frac{AC}{sin30}[/tex] = [tex]\frac{15}{sin40}[/tex] ( cross- multiply )

AC × sin40° = 15 × sin30° ( divide both sides by sin40° )

AC = [tex]\frac{15sin30}{sin40}[/tex] ≈ 11.668

Using the cosine ratio in right triangle ABC

cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{11.668}[/tex] ( multiply both sides by 11.668 )

11.668 × cos70° = BC , then

BC ≈ 4.0 ( to the nearest tenth )

Answer:

See below

Step-by-step explanation:

The median is the middlemost term in a numerically ordered data set.

For example, if I had for my data set {2,2,3,5,6,7,8} then 5 would be the median because it's the middlemost term.

Answer:

28

Step-by-step explanation:

Diagonals of a rectangle are congruent and bisects each other. So, using this property and By exterior angle theorem:

2x° = 56°

2x = 56

x = 56/2

x = 28

Answer: x=28

Step-by-step explanation:

A line has to be 180 degrees

You have 56, so 180-55=124 degrees

Angles are parallel because of the two double curve line.

Now you have that one triangle with the angle of 124degrees and x degrees and the third angle is unknown.

You know that a triangle is 180 degrees

So 180-124=56 degrees

So the unknown angle and the x angle together have to equal 56 degrees.

Since both angles are the same all you do is 56/2.

Now x= 28degrees

Answer:

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Step-by-step explanation:

=5*65-7

=325-7

=318

Answer:

52.6°

Step-by-step explanation:

cos(theta)= adj/hyp

hyp=28

adj=17

Answer:

Area = 96 square cm

Step-by-step explanation:

Area of the figure = (2 x Area of triangles) + Area of square

[tex]Area \ of \ triangle = \frac{1}{2} \times base \ height = \frac{1}{2} \times 8\times 4 = 16cm^2\\\\Area \ of \ square = side \times side = 8 \times 8 = 64cm^2[/tex]

Therefore, [tex]Area \ of \ the\ figure = (2 \times 16) + 64 = 32 + 64 = 96cm^2[/tex]

Answer:

Step-by-step explanation:

Answer:

1.37

Step-by-step explanation:

1

Answer:

Donna will have to pay $12.60 for the roast

Step-by-step explanation:

I found this by doing 5.6 × 2.25 and that equals 12.6

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Answer:

94281 km +- 1 km

572.2 km +- 0.1 km

Answer:

[tex]m = \frac{4 - 3}{3 - 6} \\ m = \frac{1}{ - 3} \\ f(x) = \frac{ - 1}{3} x + 5

Answer:

c=12,564

m=1,047

Step-by-step explanation:

Answer:

Step-by-step explanation:

A=(b1+b2)h/2

Answer:

Every Odd Integer is of the form 2q+1

Take 5 as our test odd Number

2(5) + 1 = 11.

This works and Nothing else will from the set of Options.

SO OPTION D IS LEGIT!