Help with the Pythagorean Theorem

sin(2x) - sin(x) = 0

Expand the first term using the double angle identity:

2 sin(x) cos(x) - sin(x) = 0

Factor out sin(x) :

sin(x) (2 cos(x) - 1) = 0

This leaves you with 2 cases that can be solved separately:

sin(x) = 0   or   2 cos(x) - 1 = 0

sin(x) = 0   or   cos(x) = 1/2

[x = 2nπ   or   x = π + 2nπ]   or   [x = π/6 + 2nπ   or   x = 5π/6 + 2nπ]

(where n is any integer)

Answer:

C) 27.5

Step-by-step explanation:

C) 27.5

Answer:

A. x + 10 = 160

Step-by-step explanation:

This is the correct choice since, we already know the height of Amanda and it gives us the difference between her sister and her height. We can formulate an expression.

x + 10 = 160

Solve.

160 - 10 = 150

x = 150

Thus, Carla is 150 centimeters tall.

Answer:

The first image is an Isosceles Triangle and Acute

Step-by-step explanation:

obtuse triangle.

obtuse triangle

Answer:

First you do 32.50 - the 5 dollars he used to rent shoes. Then you would get 27.50, then you do 27.50- 5.50 per game. 27.50- 5.50- 5.50-5.50-5.50-5.50. He bowled 5 games total

Step-by-step explanation:

Question:

What is the greatest common factor (GCF) of 24 and 40?

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

40=2×2×2×5

24=2×2×2×3 then we take the common 2×2×2=8

Answer:

The solution is 45.

Step-by-step explanation:

9+4(9)

9+36

45

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{ -3^2+4(-3)(-3)}[/tex]

[tex]\mathsf{-3^2}\\\mathsf{= -1\times3^2}\\\mathsf{3^2=3\times3=\bf 9}\\\mathsf{-1\times9}\\\mathsf{= \bf -9}[/tex]

[tex]\mathsf{-9 +(4)(-3)(-3)}[/tex]

[tex]\mathsf{4(-3)=\bf -12}[/tex]

[tex]\mathsf{= -9 + (-12)(-3)}[/tex]

[tex]\mathsf{(-12)(-3)=\bf 36}[/tex]

[tex]\mathsf{-9+36=\bf 27}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 27}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

x<1

Step-by-step explanation:

5+x<5

x<5-5

x<1

it simply is one , you just take five to the other side making x the subject of the formula

Answer:

They're 3 terms

Step-by-step explanation:

Im confused but the factor part because you can argue they're all factors of something. 81,18,4

Answer:

The height of the tree in 2020 was of 19.63 feet.

Step-by-step explanation:

Exponential equation for growth:

The exponential equation for the growth of an amount has the following format:

[tex]H(t) = H(0)(1+r)^t[/tex]

In which H(t) is the amount after t years, H(0) is the initial amount and r is the growth rate, as a decimal.

A 4 foot tree was planted in 2012 outside a high school.

This means that [tex]H(0) = 4[/tex]

The tree grew continuously by 22% each year from that point.

This means that [tex]r = 0.22[/tex]

Find out what the height of the tree was in 2020.

2020 is 2020 - 2012 = 8 years after 2012, so this is H(8).

[tex]H(t) = H(0)(1+r)^t[/tex]

[tex]H(t) = 4(1+0.22)^t[/tex]

[tex]H(4) = 4(1.22)^t[/tex]

[tex]H(4) = 4(1.22)^8 = 19.63[/tex]

The height of the tree in 2020 was of 19.63 feet.

Answer:

$3

Step-by-step explanation:

the cost of 5 DVDs and a $15

you didn't ask anything

Answer:

$3 because 15÷3= 5 so it is 3

Answer:

140.608

Step-by-step explanation:

Answers:

==========================================================

Explanation:

The money is divided in the ratio 10:7:5

This means that

for some positive real number x.

Since Shaiyara gets $20 more than Zahin, we can say,

S = Z+20

Let's plug in S = 7x and Z = 5x and solve for x

S = Z+20

7x = 5x+20

7x-5x = 20

2x = 20

x = 20/2

x = 10

Therefore,

The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.

The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.

Answer:

o(-2,-1)

Step-by-step explanation:

Let point A be initial point and A' be terminal point.

A(-7,3), A'(x,y) and V=(5,-4)

V=(Xf-Xi,Yf-Yi)

(5,-4)=(x-(-7),y-3)

(5,-4)=(x+7,y-3)

5=x+7. -4=y-3

5-7=x. -4+3=y

x=-2. y=-1

A'=(-2,-1)

The coordinates of A'(-2, -1).

Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.

Given:

point A(-7, 3)

and vector, V =(5, -4).

So, V=([tex]X_f-X_i,Y_f-Y_i[/tex])

Where X(final) = ?, Y(Final)= ?

So, (5,-4)=(x-(-7),y-3)

(5,-4)=(x+7,y-3)

On comparing the coordinates

5=x+7  and -4=y-3

x= 2 and y = -1

Hence, the coordinates of A'(-2, -1)

Learn more about translation here:

https://brainly.com/question/12463306

#SPJ5

Answer:

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

Step-by-step explanation:

Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88

At the null hypothesis, we test if the proportion is of 0.88, that is:

[tex]H_0: p = 0.88[/tex]

At the alternate hypothesis, we test if this proportion is less than 0.88, that is:

[tex]H_a: p < 0.88[/tex]

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.88 is tested at the null hypothesis:

This means that [tex]\mu = 0.88, \sigma = \sqrt{0.88*0.12}[/tex]

A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day.

This means that [tex]n = 160, X = \frac{138}{160} = 0.8625[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.8625 - 0.88}{\frac{\sqrt{0.88*0.12}}{\sqrt{160}}}[/tex]

[tex]z = -0.68[/tex]

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.

Looking at the z-table, the p-value of z = -0.68 is of 0.2483.

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

Answer:

76 ft of fence is required.

Step-by-step explanation:

21 ft + 17 ft + 21 ft + 17 ft = 76 ft

Answer:

The hardcover without a dust jacket.

Step-by-step Explanation

0.2 is 20%, so if you add that to the 64% you can see what the other percentage of books are. 64%+ 20% = 84. So if you subtract 84 from 100 that equals 16, so the other book percentage is 16%, which makes the hardcovers without a dust jacket the least number of books Patrick has.

Answer:

he makes 15 dollars in an hr, so find how much 15 dollars goes into 90. 90 divide 15 = 6. therfore, kasey needs to work for 6 hours to make 90 dollars

Answer:

[tex]180x^4y^3z^2[/tex]

Step-by-step explanation:

Start by finding the LCM of the coefficients of each polynomial:

[tex]LCM(12,18,30)=180[/tex]

Next, to find the least common multiple of each of the following terms, we need to take the absolute minimum we can of each term ([tex]x[/tex], [tex]y[/tex], and [tex]z[/tex]). The largest term of [tex]x[/tex] is [tex]x^4[/tex] in the first polynomial, so we'll take exactly that for our [tex]x[/tex] term in the LCM, absolutely nothing more. Similarly, the largest term of [tex]y[/tex] in any of the three polynomials is [tex]y^3[/tex] (also in the first polynomial) and the largest [tex]z[/tex] term in any of the three polynomials is [tex]z^2[/tex] in the second polynomial. Thus, the LCM of all our polynomials is:

[tex]180\cdot x^4\cdot y^3\cdot z^2=\boxed{180x^4y^3z^2}[/tex]

Answer:

[tex]\mathrm{Factor\:}18x^4y^3z= 2\cdot \:3^2\cdot \:x^4\cdot \:y^3\cdot \:z\\\\\mathrm{Factor\:}30xy^2z^2= 2\cdot \:3\cdot \:5\cdot \:x\cdot \:y^2\cdot \:z^2\\\\\mathrm{Factor\:}12x^3y^2= 2^2\cdot \:3\cdot \:x^3\cdot \:y\\\\\mathrm{Multiply\:each\:factor\:with\:the\:highest\:power}= 2^2\cdot \:3^2\cdot \:5\cdot \:x^4\cdot \:y^3\cdot \:z^2\\\\180x^4y^3z^2[/tex]

Answer:

H is same as h which means height if cone or perpendicular drawn from tip of cone to the base plane !

Hope this helps

what about using 20-30-40-5

Step-by-step explanation:

the sequence is that you are skipping ten to get the second nb which is 30 and keep on going on to get 50

Answer:

See attachment for cube

Step-by-step explanation:

Given

[tex]Length = 6cm[/tex]

[tex]Width = 3cm[/tex]

[tex]Height = 2cm[/tex]

Required

The net of the cuboid

A cuboid has 6 faces.

The dimension of these faces are:

Length and Width; Length and Height;

Length and Width; Length and Height;

Width and Height; Width and Height;

This means that the faces will have the following dimensions:

6cm by 3cm; 6cm by 2cm

6cm by 3cm; 6cm by 2cm

3cm by 2cm; 3cm by 2 cm

Taking into account the above measurements and dimensions, you draw 6 faces, then join similar sides lengths.

See attachment for net of the cuboid

Answer:

15 men * 12 days = 180 man-days

180 man-days / 9 men = 20 days

From a project management stand point man-days doesn’t really equate to much so while you can evaluate schedule, you would typically desire to see more information than this.

Step-by-step explanation:

Answer:

21mm

Step-by-step explanation:

Area = 336mm²

Height = 16mm

Base = ?

Area = Base × Height (Substitute numbers into the known variable)

336mm² = Base × 16mm ( Find the base,so divide

16mm on both sides)

Base = 336mm² ÷ 16mm

= 21mm

Answer:

3/76

Step-by-step explanation:

Answer: Round 39 to the nearest 10 is 40

Step-by-step explanation: