u = 9i – 6j
v = 7i + 4j
A) 63.43°
C) 173.66°
B) 109.48°
D) 101.31°

Answer:

arc AD = 138°

Step-by-step explanation:

Recall: if two inscribed angles are subtended by the same arc, the two angles are congruent or equal to each other based on the inscribed angle theorem.

<ABD and <ACD are two inscribed angles subtended by the same arc, therefore, they are equal.

Thus:

7x + 20 = 55 + 2x

Solve for x. Collect like terms

7x - 2x = 55 - 20

5x = 35

Divide both sides by 5

x = 35/5

x = 7

✔️m<ACD = ½(arc AD) (Inscribed angle theorems)

Substitute

55 + 2x = ½(arc AD)

Plug in the value of x

55 + 2(7) = ½(arc AD)

55 + 14 = ½(Arc AD)

69 = ½(Arc AD)

Multiply both sides by 2

2*69 = Arc AD

138° = arc AD

arc AD = 138°

Answer:

a) 10 cucumbers

b) two fifth x, or 2/5x

c) 15 vegetables

Answer:

D) log₁₀20x⁵-1 and E) log₁₀(2x⁵)

Step-by-step explanation:

5log₁₀x+log₁₀20-log₁₀10

5log₁₀x+log₁₀20-1

log₁₀x⁵+log₁₀20-1

log₁₀20x⁵-1 (Option D)

5log₁₀x+log₁₀20-log₁₀10

log₁₀20x⁵-log₁₀10

log₁₀(20x⁵/10)

log₁₀(2x⁵) (Option E)

Answer:

C) −12/5⋅(7/12⋅1/9)⋅8/5=(−12/5⋅7/12)⋅(1/9⋅8/5)

Answer:

A. 34/40

Step-by-step explanation:

Answer:

Decision Rule

The critical region for one tailed test with 7 d.f is t > 1.415 for

H0 : ud ≤ 0 against the claim Ha: ud > 0

Step-by-step explanation:

The data given is

Population mean = ud= 0

Sample difference mean = d`= 3.125

Sample difference standard deviation = sd= 2.911

Sample size= n= 8

Formulate the null and alternate hypotheses as

H0 : ud ≤ 0 against the claim Ha: ud>0

The significance level ∝= 0.1

The degrees of freedom = n-1 = 8-1 = 7

The critical region for one tailed test with 7 d.f is t > 1.415

The test statistic is

t= d`- ud/ sd/ √n

Putting the values

t= 3.125-0 / 2.911/√8

t= 3.125/1.0292

t= 3.036

since the calculated value of t falls in the critical region we reject the null hypothesis .

Answer:

Tanya must walk 15 dogs

Step-by-step explanation:

10.50x=157.50

x=157.50/10.50

x=15

Answer:

[tex]222.312\:\mathrm{in^3}[/tex]

Step-by-step explanation:

The composite solid consists of a cylinder and a cone. Therefore, its total volume will be the sum of the volumes of the cylinder and cone:

Volume of the cone: [tex]\frac{1}{3}\cdot 2^2\cdot 3.14\cdot 8.1 =33.912[/tex]

Volume of the cylinder: [tex]2^2\cdot 3.14 \cdot 15=188.4[/tex]

Thus, the total volume of the solid is:

[tex]33.912+188.4=\boxed{222.312\:\mathrm{in^3}}[/tex]

Answer:

I will do 1 2 3 and 5 for you:

Since a cube has a given length of 5, we know that all sides will be the same therefore your lengths will be the same.

There are 6 sides of a cube so,

5 x 5 = 25 area of one flat surface.

Now 25(an area of one flat surface) x 6(flat surfaces) = 150 cm for question 1

We need to find area of the two circles:

3(given radius)^2(radius being squared) x 3.14(pi)

3 x 3 = 9

9(after radius being squared) x 3.14(pi) = 28.26(area of one circle)

28.26 x 2 = 56.52 (area of 2 circles)

Now we need to find the round surface, but first we need to find circumference:

2 x 3.14 x 3 = 18.84

18.84(circumference) x 5(height) = 94.2 (area of round surface)

Now lets add all the given areas to find surface area:

56.52 + 94.2 = 150.72 cm^2 is your answer for question 2

2 x 4 = 8

8 x 2 = 16

4 x 5 = 20

20 x 2 = 40

2 x 5 = 10

10 x 2 = 20

Add all given areas:

16 + 40 + 20 = 76 cm^2 is your answer for question 3

452.16 cm^2

4 x 3.14 x 6^2

4 x 3.14 x 36 = 452.16 cm^2 is your answer for question 4

8 x 4 = 32, 32 divided by 2 = 16

since there are 4 sides,

4 x 16 = 64

Don't forget the bottom!

4x 4 = 16

Lets add the given areas:

64 + 16 = 80 for question 5

Given:

The term is [tex]\sqrt{-80}[/tex].

To find:

The simplified form of the given term in terms of i.

Solution:

We have,

[tex]\sqrt{-80}[/tex]

It can be written as:

[tex]\sqrt{-80}=\sqrt{80\times (-1)}[/tex]

[tex]\sqrt{-80}=\sqrt{80}\times \sqrt{-1}[/tex]

[tex]\sqrt{-80}=\sqrt{16\times 5}\times i[/tex]         [tex][\because \sqrt{-1}=i][/tex]

On further simplification, we get

[tex]\sqrt{-80}=\sqrt{16}\times \sqrt{5}\times i[/tex]

[tex]\sqrt{-80}=4\times \sqrt{5}\times i[/tex]

[tex]\sqrt{-80}=4\sqrt{5}i[/tex]

Therefore, the required term is [tex]4\sqrt{5}i[/tex].

Answer: The answer is 01 - 75.

Step-by-step Explanation: 0 - 4 and 1 - 5 aren't enough. 00 - 75 is actually 76 students and that isn't what is stated in the insert so it's 01 - 75 because it accounts for all 75 students no less and no more.

1-75 is the  range needed to label the students correctly.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given,

An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques.

There are 75 students in the school who can participate in the experiment.

0 - 4 and 1 - 5 aren't enough.

0 - 75 is actually 76 students and that isn't what is stated in the insert so it's 01 - 75 because it accounts for all 75 students no less and no more.

Hence, 1-75 is the  range needed to label the students correctly.

To learn more on Statistics click:

brainly.com/question/29342780

#SPJ2

Answer:

x = -5

Step-by-step explanation:

The ( x , y ) values = ( -5 , 20 )

attached below is the schematic representation of the solution

following the Given path : starting from ( 0,0 ) following the arrow directions, at the end of your walk the value of x = -5

Answer:

irrational is the only correct term because it's not a perfect Square

Answer:

Step-by-step explanation:

Lets keep the missing side as x

And we also know that the area of Triangle is,

[tex] \frac{1}{2} bh[/tex]

So taking this into consideration we can write a linear equation like this,

[tex] \frac{1}{2} bh = 20[/tex]

Where height is 8,

[tex] \frac{1}{2} \times b \times 8 = 20 \\ 4 \times b = 20 \\ b = \frac{20}{4} \\ b = 5[/tex]

So therefore the missing side is 5

Answer:

B. 10

Step-by-step explanation:

10 x 3 = 30+5 = 35

Answer:

6

Step-by-step explanation:

[tex]\sqrt{40} = 6.32 so 6 \\\sqrt{125} = 11.18 so 12\\12 - 6 = 6[/tex]

Answer:4000

Step-by-step explanation:40 times 100 is 4000

Complete question :

dion places a ladder against The side of his house as shown in the diagram below. Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, How high does the ladder reach up the side of the building?.

Answer:

24.43 feets

Step-by-step explanation:

Using trigonometry :

Sinθ = opposite / hypotenus

Opposite = height, h

Hypotenus = 26

Sin 70° = h / 26

0.9396926 * 26 = h

height, h = 24.43 feets

The sine rule is the ratio of the height and hypotenuse. Then the height of the wall is 24.43 ft.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

Dion places a ladder against the side of his house as shown in the diagram below.

Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, represented by zero.

We have

Hypotenuse (H) = 26 ft

Let h be the height of the la

Then the height of the wall will be given by the sine rule.

[tex]\rm h = H sin \ \theta \\\\h = 26 * sin \ 70^o\\\\h = 24.43 \ ft[/tex]

The height of the wall is 24.43 ft.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

A'=(5/2,-5/2)

therefore A'(2.5,-2.5)

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan G = HF/ HG

tan G = 6/10

tan G = 3/5

Answer:

The 98% confidence interval for the true population proportion of all New York students who favor year round school is (0.3083, 0.4383).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

A survey of 300 students from a New York State School District reveals that 112 favor year round school with two week vacations every ten weeks.

This means that [tex]n = 300, \pi = \frac{112}{300} = 0.3733[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3733 - 2.327\sqrt{\frac{0.3733*0.6267}{300}} = 0.3083[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3733 + 2.327\sqrt{\frac{0.3733*0.6267}{300}} = 0.4383[/tex]

The 98% confidence interval for the true population proportion of all New York students who favor year round school is (0.3083, 0.4383).

Answer: seven hundred thousand

Answer:

The 7 represents the 10,000

Step-by-step explanation:

Its not the hundred because the 2 in 280 is

Answer:

Series A price = SA || Series B price = SB

150SA + 14500SB = 972500

Step-by-step explanation:

Answer:

On average, Tonya makes $312 more than Emily on a typical day.

Step-by-step explanation:

I was just studying that question a few hours ago

Answer:

The estimate of the proportion of all students that prefer to use a metal pen is 0.4.

Step-by-step explanation:

The estimate of the proportion is the sample proportion.

In the sample:

10 students

4 use a metal pen. So

[tex]p = \frac{4}{10} = 0.4[/tex]

The estimate of the proportion of all students that prefer to use a metal pen is 0.4.

9514 1404 393

Answer:

  x = 15°

Step-by-step explanation:

Same-side interior angles are supplementary.

  (4x° +12°) + 108° = 180°

  4x° = 60° . . . . . . . . . . . . . . subtract 120°

  x = 15° . . . . . . . . . . . . divide by 4