can someone help me find the measure of the angle indicated in bold please

Answer: use the link

Step-by-step explanation: sdghs/dt/776n.tvbusaa.;

9514 1404 393

Answer:

  (√17 -4√595)/102

Step-by-step explanation:

To use the sine of the angle sum formula, we need to know the sine and cosine of each of the angles.

  sin(sin^-1(1/6)) = 1/6 . . . . a first-quadrant angle

  cos(sin^-1(1/6)) = √(1 -(1/6)²) = √(35/36) = (√35)/6

  sin(tan^-1(-4)) = -4/√(1+(-4)²) = -4/√17 . . . . a 4th-quadrant angle

  cos(tan^-1(-4)) = √(1 -(-4/√17)²) = 1/√17

The sum of angles formula is ...

  sin(α+β) = sin(α)cos(β) +cos(α)sin(β)

So, our sine is ...

  [tex]\sin\left(\sin^{-1}\left(\dfrac{1}{6}\right)+\tan^{-1}(-4)\right)=\dfrac{1}{6}\cdot\dfrac{1}{\sqrt{17}}+\dfrac{\sqrt{35}}{6}\cdot\dfrac{-4}{\sqrt{17}}\\\\=\dfrac{1-4\sqrt{35}}{6\sqrt{17}}=\boxed{\dfrac{\sqrt{17}-4\sqrt{595}}{102}}[/tex]

Answer:

y = –5x + 5

Step-by-step explanation:

Answer:

25,200

Step-by-step explanation:

First, find what 1% equals. Divide the total amount of people by 100. 105,000 divided by 100 = 1050. Multiply this by 24, because:

If 1% = 1050

To get 24% you need to multiply 1% by 24. Whatever you do to o ne side you have to do to the other.

1050 * 24 = 25,200

Therefore, the answer is 25,200 people

Answer:

1.5

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

The histogram shows the distribution of the newly planted trees

The dataset is given as:

3.2, 4.3, 3.5, 5.4, 3.7, 5.5, 6.2, 3.1, 6.8, 7.1, 4.8, 6.5, 4.9, 5.3, 5.9

Sort the data elements

3.1, 3.2, 3.5, 3.7, 4.3, 4.8, 4.9, 5.3, 5.4, 5.5, 5.9, 6.2, 6.5, 6.8, 7.1

Calculate the range

Range = Highest - Least

This gives

Range = 7.1 - 3.1

Range = 4

Divide by 4 to calculate the class width

Width = 4/4

Width = 1

So, the classes and the frequencies are:

Class               Frequency

3.1 - 4.0              4

4.1 - 5.0              3

5.1 - 6.0             4

6.1 - 7.0              3

7.1 - 8.0              1

See attachment for the histogram

Read more about histograms at:

https://brainly.com/question/18198700

Answer: 2,1 & 2

Step-by-step explanation:

[tex]\lim_{x \to c}[3g(x)][/tex] = 2, [tex]\lim_{x \to c}[f(x)+g(x)] = \frac{-1}{3}[/tex],  [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ] = \frac{1}{2}[/tex]

"A limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value."

We have Limit functions

[tex]\lim_{x \to c} f(x)[/tex] [tex]= \frac{1}{3}[/tex]

[tex]\lim_{x \to c} g(x)[/tex] = [tex]\frac{2}{3}[/tex]

(i) [tex]\lim_{x \to c} [3g(x)] = 3 \lim_{x \to c} [g(x)][/tex]

= [tex]3[/tex] × [tex]\frac{2}{3}[/tex]

= 2

(ii) [tex]\lim_{x \to c}[f(x)+g(x)][/tex]

= [tex]\lim_{x \to c} f(x)+ \lim_{x \to c} g(x)[/tex]

= [tex]\frac{1}{3}-\frac{2}{3}[/tex]

= [tex]\frac{1-2}{3}[/tex]

= [tex]\frac{-1}{3}[/tex]

(iii) [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ][/tex]

= [tex]\frac{\lim_{x \to c} f(x)}{\lim_{x \to c} g(x)}[/tex]

= [tex]\frac{\frac{1}{3} }{\frac{2}{3} }[/tex]

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

∴ [tex]\lim_{x \to c}[3g(x)][/tex] = 2, [tex]\lim_{x \to c}[f(x)+g(x)][/tex] = [tex]\frac{-1}{3}[/tex] , [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ] = \frac{1}{2}[/tex]

Learn more about Limit and limit functions here

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Answer:

D) Consistent and Independent

Answer:

D.consistent and independent

Answer. i cant answer this without a pic of the slope

Step-by-step explanation:

Answer:

its usAlly 9-5

Step-by-step explanation:

answer:

15

step-by-step explanation:

9, 10, 15, 17, 15, 14, 37, 45, 42, 13

48kg200g....…........

Answer:

(6*1000)g+25g=6025g

6025g*8=48200g

48kg200g. {:1000g=1kg}

Answer:

1109.1cm³

Step-by-step explanation:

V

=

π

r

2

h

3

3.14 ×8.7² × 14/3

Answer:

A is the answer

Step-by-step explanation:

Answer:

[tex]g\ o\ f(1) = 2[/tex]

Step-by-step explanation:

Given

The attached tables

Required

[tex]g\ o\ f(1)[/tex]

This is calculated as:

[tex]g\ o\ f(1) = g(f(1))[/tex]

From the attached tables,

[tex]f(1) = 5[/tex]

So, we have:

[tex]g\ o\ f(1) = g(5)[/tex]

From the attached tables,

[tex]g(5) = 2[/tex]

So, we have:

[tex]g\ o\ f(1) = 2[/tex]

Answer:

B) (-6,9)

Step-by-step explanation:

since it's reflecting on the x-axis, the x is gonna stay the same. the y changes though. opposite of -9 is 9.

hope this helps <3

Answer:

B, (-6, 9)

Step-by-step explanation:

this is because it's like as if it was a mirror, so that is the correct answer

Answer:

Luis would need to have a SAT score of 574.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Nicole's z-score:

ACT scores have a mean of about 21 with a standard deviation of about 5, which means that [tex]\mu = 21, \sigma = 5[/tex]

Nicole gets a score of 24, which means that [tex]X = 24[/tex]. Her z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24 - 21}{5}[/tex]

[tex]Z = 0.6[/tex]

What score would Luis have to have on the SAT to have the same standardized score(z-score) as Nicole's standardized score on the ACT?

Luis would have to get a score with a z-score of 0.6, that is, X when Z = 0.6.

SAT scores have a mean of about 508 with a standard deviation of about 110, which means that [tex]\mu = 508, \sigma = 110[/tex].

The score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.6 = \frac{X - 508}{110}[/tex]

[tex]X - 508 = 0.6*110[/tex]

[tex]X = 574[/tex]

Luis would need to have a SAT score of 574.

Answer:

3:7

Step-by-step explanation:

15-8=7 green skateboards

3:7

Me either ive been stuck on a question and no one will help me

Answer:

me three

Step-by-step explanation:

you guys are awesome

Answer:

False

x=8-10=-2

Step-by-step explanation:

[tex]10 = x - 8 \\ ➡ \: x = 10 + 8 \\ ➡ \: x = 18[/tex]

[tex]\sf\red{The\:value\:of\:x\:is\:18.\:}[/tex]

[tex]\sf\pink{Hence,\:it\:is\:false.}[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

After four years the house was worth $128,891.03

Step-by-step explanation:

170828(x)^12 = 73828

solve for x

x = 0.932 (House depreciates by 6.8% yearly)

plug in x and change into function and substitute 4 for 12 because it's 4 years

170828(0.932)^4

128891.0334

Answer:

Match the packaging type with the number of seedlings it contains.

gerbera daisy cell pack

gerbera daisy flat

standard flat

standard cell pack

Step-by-step explanation:

Answer:

484 students

Step-by-step explanation:

This is simple probability. Assuming 22/80 students walk to school within a small population, and there are 1760 students at the school, there should be (22/80)*1760 students that walk to school in total. (This is just theoretical). This is 484 students.

The number of students who usually walk to school will be 484 students.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Alexis surveys a random sample of 80 students at his school and finds that 22 of them usually walk to school.

Then the number of students who usually walk to school will be

⇒ 22 / 80

⇒ 11 / 40

We know that the ratio will remain the same.

There are 1,760 students at the school.

Let x be the number of students who usually walk to school.

Then the number of students who usually walk to school will be

x / 1760 = 11 / 40

x = 484 students

Thus, the number of students who usually walk to school will be 484 students.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

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Answer:

its 4

Step-by-step explanation:

Answer:

the answer is b. the segment has a length of 8 units vertical.

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

There are 14 fish and 4 of them are small, red ones.

P(small red fish) = 4/14 = 2/7