In ΔBCD, the measure of ∠D=90°, the measure of ∠B=71°, and DB = 67 feet. Find the length of BC to the nearest tenth of a foot.

In BCD, The Measure Of D=90, The Measure Of B=71, And DB = 67 Feet. Find The Length Of BC To The Nearest

Answers

Answer 1

Answer:  Side BC would be 205.7ft

Step-by-step explanation:

Answer 2

Answer:

in triangle BCD

relationship between base and hypotenuse is given by cos angle

cos 71=b/h

cos71=BD/BC

cos71=67/x

x=67/cos71=205.8ft.

the length of BC to the nearest tenth of a foot is 206ft.


Related Questions

Convert each of the following into fraction
(a)
32%

Answers

Answer:

8/25

Step-by-step explanation:

So 32% is essentially 32/100 now we can divide that even more so now we have 16/50(we divided it in half) but we can divide that again, so now we have 8/25 :)

Determine the y intercept (8gtade

Answers

it's -9 because it's 9 feet below sea level

Write a unit rate for the situation. Situation: 150 students in 6 classrooms Unit rate: __ students per classroom

Answers

150/6 = 25
24 students per classroom

The sanctuary takes out a $12,500 loan to renovate its gift shop. At 5%
simple interest, how much would the sanctuary need to pay back in total after 10 years?

Answers

Answer:

20361.18283

Step-by-step explanation:

p(1+r/100)n

12500(1+5/100)power 10

i hope this answer helps a little bit.

Help me please is this right

Answers

The answer is 7.5 eeeee

A company negotiator claims that only 35% of union members will support a strike, but a union rep believes that the true percentage is greater and runs a hypothesis test. What are the hypothesis statements for this situation?


A. H0: p < 0.35; Ha: p = 0.35

B. H0: p = 0.35; Ha: p < 0.35

C. H0: p > 0.35 ; Ha: p = 0.35

D. H0: p = 0.35; Ha: p > 0.35

Answers

Answer:

[tex](d)[/tex] [tex]H_o: p = 0.35[/tex] [tex]H_a: p > 0.35[/tex]

Step-by-step explanation:

Given

[tex]\mu = 35\%[/tex]

Required

The hypothesis statements

First claim: 35% will support a strike.

This represents the null hypothesis

[tex]H_o: p = 0.35[/tex]

Second claim: A greater percentage will support the strike.

This represents the alternate hypothesis

[tex]H_a: p > 0.35[/tex]

At Home Depot, Johnny bought 3 rose bushes and 7 flats of petunias for a total of $114.75. Rosie bought 2 rose bushes and 6 flats of petunias for a total of $89.50. How much does a rose bush cost? How much does a flat of petunias cost?

Answers

Answer:

a rose bush cost $15.5 , a flat of petunias cost $9.75

Step-by-step explanation:

Let $x be the cost of rose bush and $y be the cost of a flat of petunias cost

3x + 7y = 114.75

2x + 6y = 89.5

x = 31/2 , y = 39/4

Solve the equation:

3/4x = 12

Enter the answer in the box. Enter your numerical answer in the box, do not include words or spaces.

Answers

Answer:

3/4x=12

3=4x*12

3=48x

3/48x=1/16

x=1/16

Which expressions represent the product of a variable and a coefficient? Choose 3 answers: Choose 3 answers: (Choice A) A 11c11c11, c (Choice B) B \dfrac{1}{2}t 2 1 ​ tstart fraction, 1, divided by, 2, end fraction, t (Choice C) C 5\cdot 105⋅105, dot, 10 (Choice D) D j\cdot 4j⋅4j, dot, 4

Answers

Question:

Which expression represents the product of a variable and coefficient?

Choose 3 answers

(A) 11c

(B) 1/2 t

(C) 5•10

(D) j•4

Answer:

(A) 11c

(B) 1/2 t  

(D) j•4

Step-by-step explanation:

Required

Expression for variable and coefficient product

In algebra:

A coefficient can be anything (number of alphabets). However, a variable is always represented with an alphabet

Having said that:

Analyze each of the options

(A) 11c

Here, we have:

[tex]Variable = c[/tex]

[tex]Coefficient = 11[/tex]

(B) 1/2 t

Here, we have:

[tex]Variable = t[/tex]

[tex]Coefficient = 1/2[/tex]

(C) 5•10

Here, 5 and 10 are not variables

(D) j•4

Here, we have:

[tex]Variable = j[/tex]

[tex]Coefficient = 4[/tex]

So, the correct options are: (A), (B) and (D)

Answer:

A

B

D

Step-by-step explanation:

Pretty sure

4) Find the length of each side. Please help ASAP. I NEED it. I’m begging you!!

Answers

X =15
Then plug 15 for each x value

rename 11/5 as a mixed answer

Answers

Answer:

[tex]2\frac{1}{5}[/tex]

Step-by-step explanation:

11 goes into 5 two times, but we are left with a remainder of 1.

So, we can say that the mixed number would be [tex]2\frac{1}{5}[/tex].

What is the data range of the data below 625, 638, 619, 677, 638, 659

Answers

Answer:

58

Step-by-step explanation:

The range is the difference between the highest and the lowest numbers in the number set.

The highest number in this set is 677 and the lowest number is 619.

677 - 619 = 58

What is the domain of the function?

Answers

Answer: -6 ≤ x < 4

Step-by-step explanation:

Open circles on a graph mean that that point is not included

Filled in circles on a graph mean that that point is included

As a result, the end point (-6, -6) is included while (4, 8) is not

The domain is all possible x-values so the graph can be anywhere from:

-6 ≤ x < 4

Note that there are no possible values for the x-value of 4

4.
In a certain state, license plates have 2 letters followed by 5 digits. How many different license plates
are possible if
a) digits and letters can be repeated?
b)
digits and letters cannot be repeated?

Answers

Answer: A) 26_ 26 10_10_10_10_10 = 67,600,000

B) 26_25 10_9_8_7_6 = 19,656,000

Step-by-step explanation: A) There's exactly 26 letters in the Alphabet and it wants us to repeat it, so write 26_26. Since it's also asking for a 5 digits, write 10 five times because there's only 10 digits; 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Multiply the Numbers all-together which is equals 67,600,000.

B). Again, since the License plate has 2 letters, write the Number twice. However it cannot be repeated, so write 26_25. As for the 5 digits write the Number 5 times, but it also can't be repeated, so write 10_9_8_7_6 (Use commas if you want). Then Multiply the Numbers all-together which equals 19,656,000.

A race takes 3 hours to complete. If the
bikers were traveling at a constant speed, and
traveled 45 miles, how fast were the bikers
traveling?

Answers

Answer:

Speed is equals to distance divided by time

ie

45 ÷ 3

you get 15 miles per hour

Answer:

15 miles per hour

Step-by-step explanation:

Speed = distance travelled / time taken

= 45 / 3

=15

Evaluate the Expression when x = 6 and y = 5.
(x - 1) + (y - 1)

Answers

Answer:

9

Step-by-step explanation:

In a survey of 1000 eligible voters selected at random, it was found that 100 had a college degree. Additionally, it was found that 80% of those who had a college degree voted in the last presidential election, whereas 56% of the people who did not have a college degree voted in the last presidential election. Assuming that the poll is representative of all eligible voters, find the probability that an eligible voter selected at random will have the following characteristics. (Round your answers to three decimal places.)

Answers

Answer:

A. 8%

B. 39.6%

C. 58.4%

D. 41.6%

Step-by-step explanation:

Computation to determine the probability of eligible voter selected at random

First step is to Draw up a contingincy table which will include Rows = Degree/No degree

and Columns= Vote/Not vote

..............Vote..No vote

Degree 80...20...100

(80%*100=80)

(100-80=20)

No Degree 504..396..900

(1000-100=900)

(56%*900=504)

(504-900=396

Totals 584..416...1000

(80+504=584)

(20+396=416)

(900+100=1,000)

Summary

..............Vote..No vote

Degree 80...20...100

No Degree 504..396..900

Total Totals 584..416...1000

A. Calculation to determine the probability of The voter had a college degree and voted in the last presidential election.

P = 80/1,000

P=0.08*100

P=8%

Therefore the probability of The voter had a college degree and voted in the last presidential election will be 8%

B. Calculation to determine the probability of The voter did not have a college degree and did not vote in the last presidential election.

P =396/1000

P=0.396*100

P=39.6%

Therefore the probability of The voter did not have a college degree and did not vote in the last presidential election will be 39.6%

C. Calculation to determine the probability if The voter voted in the last presidential election.

P = 584/1,000

P=0.584*100

P=58.4%

Therefore the probability if The voter voted in the last presidential election will be 58.4%

D. Calculation to determine the probability if The voter did not vote in the last presidential election.

P = 416/1000

P=0.416*100

P=41.6%

Therefore the probability if The voter did not vote in the last presidential election will be 41.6%

The Cougars basketball team sold tins of flavored popcorn as a fundraiser. The players competed for prizes to see who could sell the most tins. This box plot shows the results.
Popcorn tins sold

What fraction of the players sold between 8 and 16 popcorn tins?

Answers

Answer:

1/2 percent

Step-by-step explanation:

If you look at the box, the middle number is 12 or since its the middle "1/2"

so the fraction would be 1/2, hope this helped.

The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.

We have given that,

The players sold between 8 and 16 popcorn tins,

If you look at the box, the middle number is 12, or since it's the middle 1/2.

What is the fraction?

Fractions represent equal parts of a whole or a collection. Fraction of a whole When we divide a whole into equal parts, each part is a fraction of the whole.

So the fraction would be 1/2, hope this helped.

The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.

To learn more about fractions visit:

https://brainly.com/question/78672

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Which number, when raised to the power of 5, equals 2?

Answers

Answer:

1.148698

Step-by-step explanation:

The number that will be equal to 2 when raised to the power of 5 is 1.1487.

When raising a particular number to the power of another, It implies that we are multiplying that particular number in the number of places with which the power is being raised.

From the given information:

Let the unknown number be x;

SO;

x⁵ = 2

We will need to determine the fifth root of 2 in order to eliminate the power of 5 in x.

i.e

[tex]\mathbf{ \sqrt[5]{x^5}=\sqrt[5]{2} }[/tex]

[tex]\mathbf{ x=\sqrt[5]{2} }[/tex]

x = 1.1487

Therefore, we can conclude that the number that will be equal to 2 when raised to the power of 5 is 1.1487.

Learn more about the square root here:

https://brainly.com/question/17309565?referrer=searchResults

HELP HELP PLEASE!! D:
Determine the missing side length!!
PLEASE NO CAP!!

Answers

Answer:

missing side length = 9

Step-by-step explanation:

[tex]c^{2} = a^{2} + b^{2}[/tex]

a = 6

b = 7

c = missing side

[tex]c^{2} = 6^{2} + 7^{2}[/tex]

[tex]c^{2} = 36 + 49[/tex]

[tex]c^{2} = 85[/tex]

[tex]\sqrt{c^{2} } = \sqrt{85}[/tex]

[tex]c = 9.219 = 9[/tex]

Tasha needs to walk 7/10 miles to school. She has already walked 3/5 mile. How much farther does Tasha need to walk? Answer in simplified form, if needed.

Answers

Answer:

1/10

Step-by-step explanation:

We are to determine the difference between the miles walked Tasha already and the total number of miles to school

[tex]\frac{7}{10} - \frac{3}{5}[/tex]

[tex]\frac{7-6}{10}[/tex] = [tex]\frac{1}{10}[/tex]

Anyone know the answer to this ?

Answers

Answer:

no srry

Step-by-step explanation:

The circumference of a tree trunk is 50 ft

Answers

Answer:

So the length will be the same as the length of the torso

You can buy 3 CDs for $36.00. Assuming these rates are proportional, what would be the cost of 5 CDs?

Answers

Answer:

$60

Step-by-step explanation:

36 / 3 = $12 for a single CD

12 * 5 = $60 for 5 CDs

The results of a series of surveys revealed a population with a mean of 4.73 and a standard deviation of 0.865. If each survey has a sample size of 200, which value falls within the interval where 95% of the sample means occur? A. 4.88 B. 4.63 C. 4.91 D. 4.55

Answers

Answer:

4.63

Please give me brainliest, I really need it.

The value of 4.63 falls within the interval (4.66, 4.791) where 95% of the sample means occur option (B) is correct.

What is a confidence interval for population standard deviation?

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

The formula for finding the confidence interval for population standard deviation as follows:

[tex]\rm s\sqrt{\dfrac{n-1}{\chi^2_{\alpha/2, \ n-1}}} < \sigma < s\sqrt{\dfrac{n-1}{\chi^2_{1-\alpha/2, \ n-1}}}[/tex]

Where s is the standard deviation.

n is the sample size.

[tex]\chi^2_{\alpha/2, \ n-1} and \chi^2_{1-\alpha/2, \ n-1}[/tex]  are the constant based on the Chi-Square distribution table.

α is the significance level.

σ is the confidence interval for population standard deviation.

Calculating the confidence interval for population standard deviation:

We know significance level = 1 - confidence level

 

It is given that:

Mean of the population x = 4.73

Standard deviation s = 0.865

Sample size n = 200

The interval where 95% of the sample means occur:

Lower limit = 4.73 - 0.865/√200

Lower limit = 4.66

Upper limit = 4.73 + 0.865/√200

Upper limit = 4.791

The interval = (4.66, 4.791)

Thus, the value of 4.63 falls within the interval (4.66, 4.791) where 95% of the sample means occur option (B) is correct.

Learn more about the confidence interval here:

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A right triangle has side lengths of 0.6 meter and 0.8 meter. What is the length of the hypotenuse? Round to the nearest tenth.
A. 0.1 meter
B. 0.5 meter
C. 1.0 meter
D. 4.8 meters

Answers

Use the Pythagorean theorem since you are working with a right triangle:

a^2+b^2=c^2a2+b2=c2

The legs are a and b and the hypotenuse is c. The hypotenuse is always opposite the 90° angle. Insert the appropriate values:

0.8^2+0.6^2=c^20.82+0.62=c2

Solve for c. Simplify the exponents (x^2=x*xx2=x∗x ):

0.64+0.36=c^20.64+0.36=c2

Add:

1=c^21=c2

Isolate c. Find the square root of both sides:

\begin{gathered}\sqrt{1}=\sqrt{c^2}\\\\\sqrt{1}=c\end{gathered}1=c21=c

Simplify \sqrt{1}1 . Any root of 1 is 1:

c=c= ±11 *

c=1,-1c=1,−1

In the triangle MSA, MS = 17 and MA = 8. What is the value of angle S, to the nearest degree?

Answers

Answer:

B. 28 degrees

Step-by-step explanation:

Maria is solving this number riddle by using guess and check: Fifteen less than a number is twelve.
Based on the riddle, which statements must be true? Check all that apply.

Answers

Answer:

27

Step-by-step explanation:

x-15=12

x=15+12

x=27

Answer:

27

Step-by-step explanation:

PLZ SOMEONE HELP RIGHT AWAY!

10x+2(8x+10)

Answers

2(13x+10) is the answer

Answer:

26x+20

Step-by-step explanation:

Ronnie wants to buy rosebushes he has $150 and each bus cost $11 right and solve an equality to find how many roses bushes he can buy and still have at least $95

Answers

Answer: 5 Rosebushes

Step-by-step explanation: if they required $95 at least, then you take $150 - $95 and you get $55

- Each rosebushes is $11 so you take 55/11= 5

He could only buy 5 roses bushes if he still wants to have $95 left back

Hope this helps
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