Select the true statement about triangle ABC.

O A. sin A = cos B
O B. sin A = tan c
C. sin A= sin C
OD. sin A = cos C

Using probability of independent events, it is found that the probability that it will purchase the mineral rights to exactly one of the two mountains is given by:

c. 0.51

If two events, A and B, are independent, the probability of both happening is the multiplication of the probability of each happening, that is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this problem, these following two events result in the rights of exactly one of the two mountains being bought:

Hence:

[tex]p = 0.55(0.6) + 0.45(0.4) = 0.51[/tex]

Thus, option c is correct.

A similar problem is given at https://brainly.com/question/24174994

Answer:

I dod not understand the question. Do you need to find the solution? ifso, it is (0,1)

Step-by-step explanation:

Answer:

To find the sum of interior angles in a polygon, we can use the formula:

[tex]180(n-2)[/tex] where n is the number of sides.

Since this is pentagon (5 sides), then [tex]180(5-2)=180*3=540[/tex]

The missing angle would then be

[tex]540-97-111-104-115=113[/tex]

Since angles on a straight line add up to 180, then

[tex]x+113=180[/tex]

[tex]x=67[/tex]

Answer:

2/3

Step-by-step explanation:

Here is ur answer

- BRAINLIEST answerer

Answer:

c

Step-by-step explanation:

my mom had a abortion when i was 6

Answer:

The answer is 64

Step-by-step explanation:

When you are dealing with exponents you have to multiply the main number as many times as the exponent number. [tex]4^{3}[/tex]

In this case, you multiply 4 three times

[tex]4*4 = 16\\16*4=64[/tex]

6.182m against the wall from the ground

Well this is a tricky one though but very easy.

So we have on our hands a 6.50m long ladder leaning against a wall at an angle of 72°, as illustrated in the diagram above. (please parden my hand writing).

So we are to find how high the ladder is against the wall, which from the diagram I labelled as y, and to find y we have to use something called SOHCAHTOA. This basically is use in calculating some lengths of a right angle triangle when Pythagoras therom fails u .

So from SOHCAHTOA, we are going to use SOH

What this basically means is

The sin of an angel(for example x) can be found by dividing the opposite to the angle by the hypotenuse. Since we are finding for y

Sin(72°) = y/6.50, if we should cross multiple the we will be having

Y = sin(72°) * 6.50

After evaluating using your calculator,

You will have y = 6.182

Answer:

D   20cos55º

Step-by-step explanation:

cos = adj/hyp

cos55 = adj/20

20cos55 = adj

Answer:

4 : 15

Step-by-step explanation:

total cars = 10 + 12 + 8 = 30 , then

yellow : total

= 8 : 30 ( divide both parts by 2 )

= 4 : 15 ( in simplest form )

Answer:

4 : 15 is the correct answer.

Step-by-step explanation:

10+12+8 is 30. 8 cards are yellow so 8/30 simplified is, 4 : 15.

Answer:

256

Step-by-step explanation:

any number to the 0 power equals 1, so r^0 equals 1

then, you have (4(1))^4

4×1=4

4^4=256

Answer:

3328

Step-by-step explanation:

13(4r^0)^4=13*44= 13*(4

*

4

*

4

*

4

)

=

3328

Answer:

[tex]\displaystyle w = 1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Terms/Coefficients

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify equation.

[tex]\displaystyle -5 = \frac{w - 11}{2}[/tex]

Step 2: Solve for w

Answer:

6 2/3

Step-by-step explanation:

10* 2/3

20/3

which is 6 2/3

3. option d

2. option a

5. option f

The required measure of the angle 1 and 7 is given as 130° and 40° respectively.

Given that,
Lines b and c are parallel, and the m<1=4x-30 and m<5=2x+50. Find the measure of angle 1 and the measure of angle 7 .

The orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

here,
From the figure,
∠1 = ∠5
4x - 30 = 2x + 50
2x = 80
x = 40
Now,
∠ 1 = 4 [40] - 30
∠1 = 130° = ∠5

∠7 = 180 - ∠5
∠7 = 180 - 130 = 40°

Thus, the required measure of the angle 1 and 7 is given as 130° and 40° respectively.

Learn more about Angles here:
https://brainly.com/question/13954458

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Answer:

942.48

Step-by-step explanation:

Answer:

Option A. The student incorrectly used < instead of > for the second inequality. The correct inequality is >.

Step-by-step explanation:

Boundary lines that are often used in systems of linear inequalities determine the location of the solutions region in a coordinate plane.

Given the systems of linear inequalities: y ≤ 0.5x + 1 and y = -2x + 1:

In order to determine what is the appropriate inequality symbols for both equations, we must first set the second equation with an equal sign. Then, choose a test point (not in either lines) to determine which half-plane region must be shaded.

Test point: (0, 0)

Substitute the test point into both equations to determine whether it satisfies the given equation:

0 ≤ 0.5(0) + 1

0 ≤ 0 + 1

0 ≤  1  (True statement).

0 = -2(0) + 2

0 = 0 + 2

0 = 2 (False statement). Therefore, the half-plane region that doesn't contain the test point must be shaded.  Hence, we must use the ">" symbol for this equation, as we're shading "above" where the values for y is greater than the y-intercept, (0, 2).

Therefore, the correct answer is Option A:  The student incorrectly used < instead of  > for the second inequality. The correct inequality is  > (greater than symbol).

[tex]3 \sqrt{9} - 16 = ... \\ = 3(3) - 16 = 9 - 16 \\ = \bold{ - 5}[/tex]

[tex] \: [/tex]

[tex] - 7 \sqrt{0.36} + 5.4 = ... \\ = - 7(0.6) + 5.4 = - 4.2 + 5.4 \\ = 5.4 - 4.2 = \bold{1.2}[/tex]

Answer: Kim can mow the greens alone in 6 hours.

Step-by-step explanation:

Let K be the rate Kim mows the greens, and S the rate for Shayla.  The rates K and S will be in greens/hour.

We know they can mow 1 green in 4 hours.  We can state this as a sum of their rates times the 4 hours equals one green:

(4 hours)*(K + S) = 1 green

We are told that K = 2S [Kim is twice as fast as Shayla]

Subsititute:

(4 hours)*(K + S) = 1 green

(4 hours)*(2S + S) = 1 green

4*(2S + S) = 1 green

12S = 1 green

Shalya's rate is 1 green/12 hours

Kim is twice as fast:  K = 2S

Kim's rate is 1 green/6 hours.

Answer:one way is to simply use slope intercept form or point slope form

point slope: y-y1=m(x-x1) where m=slope and you are given a point (x1,y1)

slope intercept: y=mx+b where m=slope and b=yintercept

slope=(y2-y1)/(x2-x1) when given points (x1,y1) and (x2,y2)

we are given

(3.5,8.2) and (2,7.3)

slope=(7.3-8.2)/(2-3.5)=-0.9/-1.5=0.6

slope=0.6 or 6/10

point slope

use any point

y-y1=m(x-x1)

y-7.3=0.6(x-2) or

y-8.2=0.6(x-3.5)

slope intercept wouold be point slope but solve for y by distributing m and adding y1 to both sides

take first one

y-7.3=0.6(x-2)

y-7.3=0.6x-1.2

add 7.3 both sides

y=0.6x+6.1

equation is

POINT SLOPE FORM:

y-7.3=0.6(x-2) or

y-8.2=0.6(x-3.5)

SLOPE INTERCEPT FORM:

y=0.6x-6.1

Step-by-step explanation:

Answer:

x²-3x - 8 2(x + 1)

Explanation

Find common denominator and write the nu merators above common denominator:

x(x + 1) − (2x + 4) × 2

2(x + 1)

Apply Multiplicative Distribution Law :

x² + x - 4x = 8

2(x + 1)

Reorder and gather like terms:

x² + (x − 4x) — 8

2(x + 1)

Collect coefficients for the like terms:

x² + (1-4) × x-8

2(x + 1)

Calculate the sum or difference:x²-3x -8

2(x + 1)

Answer:

x²-3x - 8

2(x + 1)

the answer is 1/6 bbbbbbbbb

Step-by-step explanation:

bring both fractions to the same denominator (bottom number). then we can readily compare our add or subtract them.

what is the snaked common multiple of 2 and 3 (the smallest number that can be divided without remainder by both numbers)?

it is 6 (in case of doubt simply multiply both numbers and use the result as common denominator).

so, we need to bring both to fractions in the form .../6.

2/3 = 4/6

1/2 = 3/6

so,

4/6 - 3/6 = 1/6

and that is the answer to the original question.

[tex]x = 3[/tex]

[tex]a(3) \: + \: 3 {}^{2} - 152 - 18[/tex]

[tex]3a \: + \: 9 \: - 134[/tex]

[tex]3a \: - 134 + 9[/tex]

[tex]3a - 143[/tex]

Step-by-step explanation:

Answer:

[tex]x=\frac{y-3}{2y-3}[/tex]

Step-by-step explanation:

[tex]y=2+\frac{1+x}{1-2x}[/tex]

First, subtract 2 from both sides:

[tex]y-2=\frac{1+x}{1-2x}[/tex]

Multiply both sides by (1 - 2x):

[tex]y-2(1-2x)=1+x\\y-2xy-2+4x=1+x[/tex]

Subtract 1, subtract x, and add 2xy to both sides:

[tex]y-3+3x=2xy[/tex]

Subtract 3x from both sides:

[tex]y-3=2xy-3x[/tex]

Factor out the x:

[tex]y-3=x(2y-3)[/tex]

Finally, divide both sides by (2y-3):

[tex]x=\frac{y-3}{2y-3}[/tex]

Keep in mind that this is undefined at y=1.5. The original equation is also undefined at 0.5.

Step-by-step explanation:

sorry for my ugly handwriting, hope it helps

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x-2*y-(27)=0

STEP1:

Equation of a Straight Line

1.1 Solve 3x-2y-27 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-2y-27 = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 27/-2 so this line "cuts" the y axis at y=-13.50000

y-intercept = 27/-2 = -13.50000

Calculate the X-Intercept :

When y = 0 the value of x is 9/1 Our line therefore "cuts" the x axis at x= 9.00000

x-intercept = 27/3 = 9

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -13.500 and for x=2.000, the value of y is -10.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -10.500 - (-13.500) = 3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 3.000/2.000 = 1.500

Geometric figure: Straight Line

Here u go

Answer:

$374

Step-by-step explanation:

She makes $30 per hour, today she worked 5 hours =) 30.5=150 ($)

28% of $800 = 28/100 . 800 = 224 ($)

Total: 150+224 = 374 ($)

Answer:

letter D

thank me later....

Answer:

1/3x+7=26

Step-by-step explanation:

1/3 of a number which could anything so mark as X

add 7

equals 26

1/3x+7=26

Answer: Domain is {-3, -2, -1, 1, 2, 3}. Range is {3, 4, 5}

Step-by-step explanation:

Domain in x values and therefore -3, -2, -1, 1, 2, 3. The range is y-values and you don't have to repeat same values making the range 3, 4, 5