i really need you guys help.

Answer:

Question is missing

Step-by-step explanation:

Question missing

Since triangle D has been dilated to create triangle D', the scale factor used include the following: A. 1/2.

In Mathematics and Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (original figure):

Scale factor = Dimension of image (new figure)/Dimension of pre-image (original figure)

By substituting the given parameters into the formula for scale factor, we have the following;

Scale factor = Dimension of image/Dimension of pre-image

Scale factor = 2.4/4.8

Scale factor = 1/2.

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Step-by-step explanation:

2x+3x+9=26

5x = 26 - 9

5x = 16

x = 16/5

Answer:

-14-2i

Step-by-step explanation:

-9-i+(-5-i)

collect like terms(real-real, imaginary-imaginary)

=(-9-5)+(-i-i)

=-14-2i

Answer:

Using 22/7 as pi, the area of a circle with a diameter of 14 metres is:

154 m²

Step-by-step explanation:

To solve, use the formula for the area of a circle.

Remember the formula for area of a circle. Be careful not to mix up the formula for area with the formula for circumference!

\(A = \pi r^{2}\)

From the question, we know:

To use the formula, we need the radius ("r").

The radius is a line that goes from the centre point of the circle to the circle outline. It is half the length of the diameter.

The diagram shows the diameter ("d"), which goes through the centre point of the circle. It is twice the length of the radius.

Solve for "r".

r = d/2

r = (14 m)/2

r = 7 m

Substitute r = 7 m and π = 22/7  into the formula for the area of a circle.

\(A = \pi r^{2}\)                         Start with the formula and substitute.

\(\displaystyle{A = \frac{22}{7} (7\ m)^{2}}\)                Square "7" and the "m".

Remember that the answer for area is always squared units.

\(\displaystyle{A = \frac{22}{7} (49\ m^{2})}\)      

Multiplying a fraction and whole number is the same as multiplying the whole number in the numerator (top of the fraction).

\(\displaystyle{A = \frac{22*49}{7}m^{2}}\)              Simplify the numerator.

\(\displaystyle{A = \frac{1078}{7}m^{2}}\)                  Divide.

\(A = 154\ m^{2}\)                   Final answer

∴ The area of the circle is 154 m².

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

a.   Since a line doesn't have endpoint, it doesn't matter which

two points we use to name a line so we could call this line DC.

b.   A ray is a figure that starts at and endpoint and continues

forever in one single direction. So a ray here would be ray AB.

c.   Opposite rays are two rays that share a common endpoint,

have no other points of intersection, and all points are collinear.

So ray EC and ray ED would be opposite rays.

A) Line names are made using two letters, since line CD passes through E, line CD could be renamed CE

B) a Ray has one end point and goes in one direction. If A is the endpoint, the line goes through point B

The Ray would be AB with an arrow pointing to the right above the letters.

C) Opposite rays create a straight line and have the same point.

Ray ED is opposite EC

The trigonometric ratio include the following:

In order to determine each of the trigonometric ratios, we would apply each of the trigonometric ratios because the given side lengths represent the adjacent side, opposite side and hypotenuse of a right-angled triangle.

cos(θ) = Adj/Hyp, sin(θ) = Opp/Hyp, tan(θ) = Opp/Adj

Where:

sin(θ) = Opp/Hyp

sin B = b/c

sin(θ) = Opp/Hyp

sin A = a/c

tan(θ) = Opp/Adj

tan A = a/b

cos(θ) = Adj/Hyp

cos B = a/c

cos(θ) = Adj/Hyp

cos A = b/c

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Complete Question:

Use the right triangle to determine the each of the trigonometric ratio.

Step-by-step explanation:

s1 = 5

s2 = s1 × -2 = 5×-2 = -10

s3 = s2 × -2 = -10 × -2 = 20

...

now, we could do all that manually.

but there is also a formula for geometric sequence.

in fact, there are 2 - one for finite and one for infinite sequences.

and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.

since we need the sum of the first 5 terms, which of the 2 do you think we need ?

of course, finite, because 5 is a normal number we can "touch". it is not infinity.

so, the formulas for finite sums of geometric sequences are :

if |r| < 1, Sn = a(1 - r^n)/(1 - r)

if |r| > 1, Sn = a(r^n - 1)/(r - 1)

if r = 1, Sn = na

if r = -1, then Sn = a or 0 depending on if n is odd or even.

the sequence is in general

s1 = a

sn = sn-1 × r

in our case a = 5, r = -2.

so, what form of the formula do we need ?

|-2| = 2, and 2 > 1, so ...

S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =

= 5 × 11 = 55

quick check, as the 5 terms are

5

-10

20

-40

80

and their sum is : 55

correct !

Answer:

x = 13°

Step-by-step explanation:

Check the diagram attached below to see how the angles labelled A and B, which are interior angles of the triangle where x is found.

Let's find the measure of angle A and angle B.

m<A = 85° (vertical angles are congruent)

m<B = 180° - 98° = 82° (corresponding angles/supplementary angles)

Thus:

x + A + B = 180° (sum of interior angles of a ∆)

x + 85° + 82° = 180° (substitution)

x + 167 = 180

x = 180 - 167 (Subtraction property of equality)

x = 13°

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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Answer:

2x^3-5x^2-28x+15 -------------------------expanded

2x^3-5x^2-28x+15--------------------simplified

Step-by-step explanation:

\left(2x-1\right)\left(x+3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

simplyfied

\left(2x^2+5x-3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

=2x^3-5x^2-28x+15

The width of the empty spaces is 5.5 inches.

The candles are circular and are six in numbers.

The diameter of each candle is 4 inches.

Therefore, the number of spaces will be 7.

This is because their is spacing at both end.

The measure of the top of the piano where the circular candle is placed is 62.5 inches.

Therefore,

6 × 4 = 24 inches

Hence,

62.5 - 24 = 38.5 inches

Therefore,

width of the empty spaces = 38.5 / 7

width of the empty spaces = 5.5 inches

Therefore, the width of the empty spaces is 5.5 inches.

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Answer:

Step-by-step explanation:

Whenever you add two number x and -x and it becomes 0 . IT is the identity property.

Ex:

-1/3 + 1/3 = 0

-1 + 1 = 0

-58 + 58 = 0

Answer:

OPTION A

Step-by-step explanation:

we start by multiplying both roots.

we then get negative 3 times the third root of: 40 × x^9 × y^3

we then simplify to get:

-24 × x^3 × y × third root of 5

\(\\ \rm\Rrightarrow -\sqrt[3]{2x^4y^2}\times 3\sqrt[3]{20x^5y}\)

\(\\ \rm\Rrightarrow -3\sqrt{40x^9y^3}\)

\(\\ \rm\Rrightarrow -3(6x^3y\sqrt[3]{5}\)

\(\\ \rm\Rrightarrow -24x^3y\sqrt[3]{5}\)

Answer:

4+10-284-4819+2948929

Answer:

I hope this helps!

Step-by-step explanation:

Please mark brainiest

The complex equation 8 + 3; in trigonometric form is z = 8.544[cos(20.6) + isin(20.6)}.

What is trigonometric form ?

Here, we'll utilize that fundamental transformation to recast z = a + bi in a different (sometimes more practical) form that is based on the polar transformation. The trigonometric form of a complex number is the name of this new representation.

Given

8 + 3i

Required

Rewrite in trigonometric form.

The trigonometric form of a complex equation is

z = r[cosθ + isinθ]

Let a = 3 and b = 8

Where

r is calculated by

r² = b² + a²

And

θ is calculated by

θ = arctan(a/b)

Substituting 3 for a and 8 for b

r² = a² + b² becomes

r² = 3² + 8²

r² = 9 + 64

r² = 73

√r² = √73

r = √73

r = 8.544

Calculating θ

θ = arctan(a/b) becomes

θ = arctan(3/8)

θ = arctan(0.375)

θ = 20.556°

θ = 20.6 --- Approximated

Hence, z = r[cosθ + isinθ] becomes

z = 8.544[cos(20.6) + isin(20.6)}

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Answer:

0.0020760077

Step-by-step explanation:

The probability of drawing the first black card is 26/52 because there are 26 of them in a deck of 52.

The probability of drawing the second black card is 25/51 because there are 25 of them in a deck of 51.

The probability of drawing the third black card is 24/50 because there are 24 of them in a deck of 50.

And so on and so forth, now we just have to multiply the 8 fractions together:

26/52*25/51*24/50*23/49*22/48*21/47*20/46*19/45=

\(\frac{26}{52} *\frac{25}{51} *\frac{24}{50}* \frac{23}{49} *\frac{22}{48} *\frac{21}{47} * \frac{20}{46} * \frac{19}{45}\)= 0.0020760077

The number less than 3 are {1,2}.

The total possible outcome is 4.

Determine the probability for number less than 3.

The number divisor of 20 are {1,2,4}.

Determine the probability for landing on a number divisor of 20.

The probability for number less than 3 and number divisor of 20 are independent events. So,

Determine the probability in percentage by multiply the fraction with 100.

So answer is 37.5 %.

Answer:

5-4=12x+x

1=13x

1/13=×

Option A, -9x - 2 = 14x is the required equivalent equation for the equation 5x - 2(7x + 1) = 14x.

What are equivalent equations?

Equations with the same answer or solution are said to be equivalent. Comparisons between linear equations are common. When graphed, linear equations result in straight lines with a slope and a y-intercept. The characteristics that make a linear equation linear are crucial in establishing if two linear equations are equivalent. Although it may not seem like it at first, there are mathematical procedures to determine whether the equivalent equations will have the same solution.

To get equivalent equation of the given equation, we need to simplify it.

So, given equation

5x - 2(7x + 1) = 14x

Lets multiply -2 with 7x+1, we get

5x-14x-2=14x

it can be written as:

-9x - 2 = 14x

This is required equivalent equation.

Therefore, option A is correct answer

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9514 1404 393

Answer:

  1.04×10⁹

Step-by-step explanation:

Your calculator can figure this for you. You may have to set the display to show the result in scientific notation.

__

  1.36×10⁹ -3.2×10⁸ = (1.36 -0.32)×10⁹ = 1.04×10⁹

_____

Additional comment

The exponent of 10 in a number written in scientific notation relates to place value. In the number 100, for example, the digit 1 is in the 3rd place to the left of the decimal point, or the 2nd place to the left of the units digit.

The units digit has a place value of 1 = 10⁰. Digits in the hundreds place, as in 100, have a place value of 10², where the 2 corresponds to the 2nd place to the left of the units digit. Effectively, the number places correspond to exponents of 0, 1, 2, 3, ... as you move to the left from the decimal point.

A number like 3×10⁸ will have the digit 3 in the place that is 8th to the left of the units digit (9th to the left of the decimal point). Effectively, the 3 is followed by 8 zeros. The decimal point in 3.2×10⁸ means the digit 2 is in the number place immediately to the right of the one with place value 10⁸. The exponent of 8 in 10⁸ effectively tells you that moving the decimal point 8 places to the right will put the number in standard form.

  1.0×10⁸ = 100,000,000.

Answer:

c

Step-by-step explanation:

ANSWER;

6/ 2(1+2)

= 6/ 2(3)

= 6/ 2X3

= 6/6

= 1

Answer:

6 ÷ 2 [1 + 2]

= 6 ÷ 2 + 4

= 6 ÷ 6

= 1

The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001

In a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.

Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.

The probability of guessing more than 20 correct is:

P(X > 20) = 1 - P(X ≤ 20)

Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).

Therefore: P(X > 20) = 1 - 0.9999 = 0.0001

So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).

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The exact values of the inverse trigonometric functions are introduced below:

a) π / 6 or 11π / 6.

b) 0 or 2π.

c) 2π / 3 or 4π / 3.

In this problem we must determine the exact values of three inverse trigonometric functions, all of them from inverse cosine function. This can be found only easily for certain cases. For the case of the inverse cosine in [0, 2π], there are the following values:

cos⁻¹ 0 = π / 2 or 3π / 2

cos⁻¹ 1 = 0 or 2π

cos⁻¹ (- 1) = π

cos⁻¹ (√3 / 2) = π / 6 or 11π / 6

cos⁻¹ (- √3 / 2) = 5π / 6 or 7π / 6

cos⁻¹ (1 / 2) = π / 3 or 5π / 3

cos⁻¹ (- 1 / 2) = 2π / 3 or 4π / 3

Then, by direct inspection we get the following results:

a) cos⁻¹ (√3 / 2) = π / 6 or 11π / 6

b) cos⁻¹ 1 = 0 or 2π

c) cos⁻¹ (- 1 / 2) =  2π / 3 or 4π / 3

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Answer:

the answer is 84

hope this helped

The compound inequality that is described by the number line shown is c. x ≤ - 6 or x > - 5 .

A number line can be used to display inequality. For numbers that are either less than or more than ( < or >), open circles are utilized. For numbers that are fewer than or equal to and higher than or equal to ( ≤ or ≥ ), closed circles are employed.

This means that on the right side, which has an open circle, the inequality is x >  - 5. On the left side, the circle is closed which means that x ≤ - 6.

The compound inequality is x ≤ - 6 or x > - 5 .

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