What is the area of triangle BCD to the nearest tenth of a square centimeter? Use special right triangles to
help find the height. Show your work.

What Is The Area Of Triangle BCD To The Nearest Tenth Of A Square Centimeter? Use Special Right Triangles

Answers

Answer 1

Answer:

Area = 13.8 cm²

Step-by-step explanation:

Area of a triangle = ½*base*height

base = 4 cm

height = ?

Find height using trigonometry function:

Reference angle = 60°

Opp = height = BC

Adj = 4 cm

Apply TOA:

Tan 60 = Opp/Adj

Tan 60 = BC/4

BC = 4*Tan 60

BC = 6.92820324 ≈ 6.9 cm

✔️Area of triangle = ½*4*6.9

= 13.8 cm²


Related Questions

If 25% is 14, what is 100%?

Answers

Answer:

56

Step-by-step explanation:

25% = 14

Therefore,

25%*4 = 14*4

100% = 56

Which function is decreasing on the same interval as the function graphed here?

Answers

The function that is decreasing on the sale interval as the function graphed in the attached image is " F(x) = -x² + 4x -4.

What does it mean for a function to be decreasing?

When the y-value of a function is decreasing as the x-value goes up, that function is said to be a decreasing function.

That is  when x1 < x2 then f(x1) ≥ f(x2)

What is the Proof of the above?

Let F(x) = 4

Thus

f(4) = -(4)² + 4(4) -4

=  16 + 16 - 4

= 28

Now, let F(x) = 2

Thus

f(2) = -(2)² + 4(2) -4

= 4 + 8 - 4

= 8

Note that X1 = 4 and X2 = 2

Thus  x1 < x2 then f(x1) ≥ f(x2).

Hence Option C is the decreasing function.

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The first sequence rule is multiply by 2 starting from 7. The second sequence rule is add 2 starting from 8. What is the first number that appears in both sequences?
Question 3 options:

10

14

18

28

Answers

The first and the second sequence are arithmetic and geometric sequence, respectively

The first number in both sequences is 14

How to determine the first number?

From the question, we have the following rules

Rule 1

Start = 7

Multiply by 2

Rule 2

Start = 8

Add = 2

So, the numbers in the sequence are:

Rule 1: 7, 14, 28, 56......

Rule 2: 8, 10, 12, 14, .....

By comparing the numbers in the sequence, we can see that the first number in both sequences is 14

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In developing a new gasoline additive, researchers randomly select 10 cars and drive them both with and without the additive. The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16. Assume the differences are from an approximately normal distribution. We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive. Calculate the test statistic.

Answers

Answer:

The test statistic is t = 3.24.

Step-by-step explanation:

We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.

This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

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

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Randomly select 10 cars

This means that [tex]n = 10[/tex]

The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.

This means that [tex]X = 0.41, s = \sqrt{0.16} = 0.4[/tex]

Calculate the test statistic.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}[/tex]

[tex]t = 3.24[/tex]

The test statistic is t = 3.24.

PLEASE HELP ME !!
acellus : chords and arcs find the value of x

Answers

Answer:

8

Step-by-step explanation:

since all the sides are equal then that means that x is going to equal 8.

Sarah Turned on the soaker hose in her flower bed. The hose releases 192 gallons of water every 4 hours. If she leaves the hose on for 30 minutes how much water will be used?

Answers

Answer:

24 gallons

Step-by-step explanation:

set up a proportion and cross-multiply:

g = # gallons

192/4 = g/0.5*

4g = 96

g = 24

*30 minutes = 0.5 hours

What is the range of the function graphed below?

A. Y>-1
B X< -1
C X>-1
D Y< -1

LOOK AT THE GRAPH.

Answers

Answer:

Option A

Step-by-step explanation:

Range of a function is defined by the set of y-values (output values).

From the given graph,

Y-values of the exponential function given in the graph vary from y = -1 to y = ∞ (excluding both the points)

Therefore, Range of the given exponential function will be y > -1

Option A will be the correct option.

which is equivalent to 3/8^1/4? 8^3/4
A.10
B.6
C.5
D.2

Answers

Answer:

B I'm pretty sure..............

help help please i did not understand

Answers

Answer:

The tree grows 3,14 centimeters per year

Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.

Step-by-step explanation:

. To buy a car, Mitchell borrowed $17,000 for 3 years at an annual simple interest rate of 9%. If it takes him 3 full years to pay off the loan, how much interest will he will pay for the car? * O $9,045 O $9,009,000 O $ $4590 O $459,000 2. Jaelyn deposits $750 into an account that yields 6.5% simple interest. How much will he in her account in 30 months if she door no 10 points​

Answers

Answer:

45

Step-by-step explanation:

I just took test and got 100%

Writing Activity: Analysis.

Several major events occur in Black Ships Before Troy. Choose one event to analyze, explaining how the plot unfolds and how the characters respond or change. Be sure to cite evidence from the text.
First, summarize the key event and the conflict that takes place.
Take notes on what the main characters are like and what they think and do.
Use your summary and notes as you write your essay. Include evidence from the text to support your ideas

Answers

Answer:

12345678910111213141516171819202122232425262728293031323334353637383940142434445446

Step-by-step explanation:

my name jeff

Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?

Answers

Answer:

231 dollars

Step-by-step explanation:

216*1.065(for the tax)=230.4 and since he is only paying bills you would add one more dollar to get 231

brainliest plz

Each one is 6.5 in total 5,000999999

A right cylinder has a height of 8 inches and a volume of 400 cubic inches.
Which measurement is closest to the radius, in inches, of the cylinder?
A. 4
B. 8
С. 16
D. 50

Answers

Answer:

Step-by-step explanation:

its D because 400 divided by 8 is 50

[tex]\boldsymbol{4}[/tex] is closest to the radius, in inches, of the cylinder.

So, option A. is correct.

Volume of cylinder

Height of a cylinder [tex](h)=8[/tex] inches

Volume of a cylinder[tex]=400[/tex] cubic inches

Let [tex]r[/tex] denotes radius of a cylinder.

Volume of a cylinder [tex]=\pi r^2 h[/tex]

[tex]400=\frac{22}{7}r^2 (8)[/tex]

[tex]r^2=15.9\\r=3.99[/tex]

So, [tex]\boldsymbol{4}[/tex] is closest to the radius, in inches, of the cylinder.

So, option A. is correct.

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Kenny and Ben start competing businesses selling hats. Kenny buys supplies, costing $3, before he starts selling his
hats for $0.50 each.
Ben sells his hats for $0.25 each and spent only $1 on supplies. At
what point have they sold the same number of hats and made the
same profit (income minus costs)?
Write your answer as a coordinate point (hats, profit). HELP PLZ WHAT ARE THE EQUATIONS??

Answers

9514 1404 393

Answer:

  (8, 1)

Step-by-step explanation:

Let x represent the number of hats sold by each seller.

__

Kenny's cost: $3

Kenny's revenue: $0.50x

Kenny's profit = revenue - cost: y = 0.50x -3

__

Ben's cost: $1

Ben's revenue: $0.25x

Ben's profit = revenue - cost: y = 0.25x -1

__

The profit and sales will be the same when the same (x, y) values satisfy both profit equations.

  y = 0.50x -3

  y = 0.25x -1

  0.50x -3 = 0.25x -1 . . . . . substitute for y

  0.25x = 2 . . . . . . . . . . . add 3-0.25x

  x = 8 . . . . . . . . . . multiply by 4

  y = 0.25x -1 = 2 -1 = 1 . . . using Ben's profit equation

The profit and sales will be the same for ...

  (hats, profit) = (8, 1)

Pls help mark barinlist

Answers

Answer:

okay sure Barnyst comingup

Step-by-step explanation:

How much simple interest would Alexis earn if he deposits $2450 in a savings account with a simple interest rate of 12% for 15 years.

Answers

Answer:

⠀⠀⠀⠀

⠀⠀⠀⠀

Step-by-step explanation:

⠀⠀⠀⠀

⠀⠀⠀⠀

⠀⠀⠀⠀

⠀⠀⠀⠀

⠀⠀⠀⠀

⠀⠀⠀⠀

⠀⠀⠀⠀

PLS PLS PLS ANSWER IT QUICKKKK

Answers

Answer:

A

Step-by-step explanation:

Sometimes Zach's teammates arrive late to basketball practice. The following dot plot shows how many times each teammate was late to practice last week.
Find the mean number of times Zach's teammates were late to practice last week.
BRAINLIEST!!!!!

Answers

Answer:

3.5.

Step-by-step explanation:

Zach's teammates were late to practice last week. According to Khan Academy the answer is 3.5.

The mean number of times Zach's teammates were late to practice last week is 3.5

What is dot plot?

A dot plot visually groups the number of data points in a data set based on the value of each point.

Given that, the following dot plot shows how many times each teammate was late to practice last week.

We need to find mean,

Total elements = 2 + 4 + 4 + 4 = 14

Data points = 4

Mean = 14 / 4 = 3.5

Hence, the mean number of times Zach's teammates were late to practice last week is 3.5

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If f(x)= - 4x-4, g(x)= 4x² + 4x + 2, and h(x)= 3x2 – 3, find f(3).
f(3) =
(Simplify your answer.)

Answers

Answer:

[tex]f(3) = -16[/tex]

Step-by-step explanation:

Given

[tex]f(x)= - 4x-4[/tex]

[tex]g(x)= 4x^2 + 4x + 2[/tex]

[tex]h(x)= 3x^2 - 3[/tex]

Required

[tex]f(3)[/tex]

We have:

[tex]f(x)= - 4x-4[/tex]

Substitute [tex]x = 3[/tex]

[tex]f(3) = -4 * 3 - 4[/tex]

[tex]f(3) = -12 - 4[/tex]

[tex]f(3) = -16[/tex]

Hence:

[tex]f(3) = -16[/tex]

Find the surface area of the prism

Answers

Answer:

192 km²

Step-by-step explanation:

Surface Area of the triangular prism = 2(Base Area) + Perimeter of Base*height of the prism

✔️Base Area = ½*bh

b = 6 km

h = 8 km

Base area = ½*6*8 = 24 km²

✔️Perimeter of base = 6 + 8 + 10 = 24 km

✔️Height of prism = 6 km

Plug in the values into the equation:

Surface area = 2(24) + 24*6 = 48 + 144

Surface area = 192 km²

A sociologist recorded the number of contacts entered in a cell phone and the number of texts sent in a week for 20 cell phone users. The resulting data were used to conduct a hypothesis test to investigate whether there is a linear relationship between the number of contacts and the number of texts sent. What are the correct hypotheses for the test?

a. H0:β1=0 Ha:β1≠0

b. H0:β1=0 Ha:β1>0

c. H0:β1=0 Ha:β1<0

d. H0:β1≠0 Ha:β1=0

e. H0:b1=0 Ha:b1≠0

Answers

The correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0

What is Statistic?

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,

The correct hypotheses for testing the linear relationship between two variables can be stated as:

H0: β1 = 0 (there is no linear relationship between the number of contacts and the number of texts sent)

Ha: β1 ≠ 0 (there is a linear relationship between the number of contacts and the number of texts sent)

Therefore, the correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0

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3 Each change of 6 in the linear function
f(x) results from a change of 2 in x.
What is the rate of change of f(x) in
relation to x?
A
1/3
с 3
B-1/3
D-3

Answers

Answer:

D. -3

Step-by-step explanation:

Sana nakatulong

2 = x - 3

whats the answer?

Answers

Answer:

x=1

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

Answer:

5

Step-by-step explanation:

We need to find the value of x

add 3 to both sides

5= x

so 5

Find the measure of A as indicates in the picture.

In case the picture blurs

Top angle = x + 63

Left angle = x + 96

Right angle = x + 149

Answers

Answer:

∠A = 58°

Step-by-step explanation:

all triangles contain 180°

180° - 149° = 31°

x + 63° + x + 96° + 31° = 180°

combine like terms:

2x + 190° = 180°

2x = -10°

x = -5°

∠A = -5° + 63° = 58°

Salaries for various positions can vary significantly, depending on whether or not thecompany is in the public or private sector. The U.S. Department of Labor posted the2007 mean salary for human resource managers employed by the federal governmentas $76,503. Assume the annual salaries for this type of job are normally distributedand have a standard deviation of $8850.a)What is the probability that a randomly selectedhuman resource manager received over $100,000in 2007?

Answers

Answer:

0.0039 = 0.39% probability that a randomly selectedhuman resource manager received over $100,000 in 2007.

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.

Mean of 76503, standard deviation of 8850.

This means that [tex]\mu = 76503, \sigma = 8850[/tex]

a)What is the probability that a randomly selected human resource manager received over $100,000 in 2007?

This is 1 subtracted by the pvalue of Z when X = 100000. So

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

[tex]Z = \frac{100000 - 76503}{8850}[/tex]

[tex]Z = 2.66[/tex]

[tex]Z = 2.66[/tex] has a pvalue of 0.9961

1 - 0.9961 = 0.0039

0.0039 = 0.39% probability that a randomly selectedhuman resource manager received over $100,000 in 2007.

According to the graph on your graphing tool, what is true about f(x)= x^4-4x^2+x/-2x^4+18x^2

Answers

Answer:

I can't see the options, so i will find all the asymptotes.

We have the function:

[tex]f(x) = \frac{x^4 - 4*x^2 + x}{-2*x^4 + 18*x^2}[/tex]

First, we can graph this using a graphing tool, the graph can be seen below.

In the graph, we can see that when we approach x = 0 from the left, f(x) goes to negative infinity, while if we approach x = 0 from the right, f(x) goes to infinity.

This can be written as:

[tex]\lim_{x \to 0_-} f(x) = - \infty \\[/tex]

and:

[tex]\lim_{x \to 0_+} f(x) = + \infty \\[/tex]

A similar thing can be seen at x = 3, when we approach from the left f(x) goes to infinity, while if we approach from the left, f(x) goes to negative infinity.

Then:

[tex]\lim_{x \to 3_-} f(x) = \infty \\\\\lim_{x \to 3_+} f(x) = - \infty \\[/tex]

For x = -3 we can see that when we approach from the left, f(x) goes to negative infinity, while if we approach from the right, f(x) goes to infinity.

Then:

[tex]\lim_{x \to -3_-} f(x) = - \infty \\\\\lim_{x \to -3_+} f(x) = + \infty \\[/tex]

We also can see that as x goes to negative infinity or positive infinity, f(x) tends to -0.5

Then:

[tex]\lim_{x \to \infty} f(x) = -0.5 \\ \lim_{x \to -\infty} f(x) = -0.5[/tex]

So you need to check the options that match with some of the given tendencies.

Answer:

b,c,d

Step-by-step explanation:

edg 21 ^u^

help me plz...............

Answers

Answer:

2. 7.6

3. .057

4. Nine and three tenths

5. Forty two hundredths

6. Ninety two thousandths

Step-by-step explanation:

Answer:

1. 0.16

2. 7.6

3. 0.057

4. nine and three tenths

5. forty two hundredths

6. ninety two thousandths

I hope this helped

HELP PLEASE!!!!!!!!!!!

Answers

Answer:

x = 4

Step-by-step explanation:

7.5 + 7.5 = 15

[tex]\frac{x}{8}[/tex] = [tex]\frac{7.5}{15}[/tex]

cross multiply

15x = 60

divide

x = 4

or

since the bigger one is 2x smaller

8/2 = 4

Pls answer i will give brainliest pls

Answers

Answer:

B

Step-by-step explanation:

In the slope intercept equation of the line the number that not multiplies the x or the y indicates where the line intercept the y axis

so in this cas the line intercept the y axis in the point (0,2)

so the answer is B

Which expression is equivalent to (6^-2)^3

Answers

1/46656 or B. 1/6^6
6^6 is equal to 46656
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