In ΔCDE, the measure of ∠E=90°, the measure of ∠C=43°, and CD = 95 feet. Find the length of EC to the nearest tenth of a foot

Answers

Answer 1

Answer:

69.5 FT

Step-by-step explanation:

\cos C = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{x}{95}

cosC=

hypotenuse

adjacent

=

95

x

\cos 43=\frac{x}{95}

cos43=

95

x

95\cos 43=x

95cos43=x

Cross multiply.

x=69.4786\approx \mathbf{69.5}\text{ feet}

x=69.4786≈69.5 feet


Related Questions

6 tickets for 48.00 dollars what is the unit price?

Answers

Answer:

8

Step-by-step explanation:

that's a six tickets for $48 there for F1 tickets we don't know the price of each ticket...divide 48/6

Will Give Brainleist! Plz help me on this problem

Which equation represents a line with slope 3/5 of and y-intercept of -1 ?

Answers

Answer:

y = 3/5x - 1

i think that's what's supposed to be there...

A simple random sample of 140 residents in a certain town was polled the week after the Super Bowl. 75 of them reported that they watched the game on TV. a) Construct the 95% CI for the proportion of people that watched Super Bowl. b) The prognosis stated that the proportion of people watching the game is 48.1%. Does this prognosis contradict your findings

Answers

Answer:

a) The 95% CI for the proportion of people that watched Super Bowl is (0.4531, 0.6183).

b) 48.1% = 0.481 is part of the confidence interval, which means that this prognosis does not contradict the findings.

Step-by-step explanation:

a) Construct the 95% CI for the proportion of people that watched Super Bowl.

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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

75 out of 140 watched the Super Bowl:

This means that [tex]n = 140, \pi = \frac{75}{140} = 0.5357[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5357 - 1.96\sqrt{\frac{0.5357*0.4643}{140}} = 0.4531[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5357 + 1.96\sqrt{\frac{0.5357*0.4643}{140}} = 0.6183[/tex]

The 95% CI for the proportion of people that watched Super Bowl is (0.4531, 0.6183).

b) The prognosis stated that the proportion of people watching the game is 48.1%. Does this prognosis contradict your findings

48.1% = 0.481 is part of the confidence interval, which means that this prognosis does not contradict the findings.

Help me out thanks !!!!!!

Answers

Answer:

a = 12

Step-by-step explanation:

as C^2 = A^2 + B^2

by Pythagoras theorem

so

A^2 = C^2 - B^2

= 13^2 - 5^2

= 169- 25

144

as 12^2 is equal to 144

hence side a is equal to 12

Answer:

[tex]h^2 = p^2 + b^2 \\ {13}^{2} = {p }^{2} + {5}^{2} \\ 169 = {p }^{2} + 25 \\ 169 - 25 = {p}^{2} \\ 144 = {p}^{2} \\ \sqrt{144} = p \\ 12 = p \\ p = 12[/tex]


Determine the measure of angle C using a trigonometric ratio.

Answers

Answer:

34.836

Step-by-step explanation:

sin(C)=opp/hyp=16/28=4/7

C= inverse sin = 34.836 deg

The angle of the right-angled triangle using trigonometric ratio is 34.84°.

What is trigonometry?

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The diagram shows the right-angled triangle.

The hypotenuse side, h = 28

The perpendicular side, p =16

The trigonometric ratio that relates hypotenuse side and the  perpendicular side is sine θ.

[tex]Sine \theta=\frac{perpendicular}{hypotenuse}[/tex]

⇒ [tex]Sine\theta = \frac{16}{28}[/tex]

⇒ [tex]Sine \theta=0.5714[/tex]

⇒ [tex]\theta = Sine^{-1} (0.5714)[/tex]

⇒ [tex]\theta = 34.84[/tex]

Hence we can conclude that the angle of the right-angled triangle using trigonometric ratio is 34.84°.

Learn more about trigonometry here

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8. What is m A to the nearest tenth?
A
14.1
22.9
B

Answers

TOA
Tan(a)=22.9/14.1
Use inverse tangent function to solve for a and get 58.4

ASAP will give brainliest
Question 6(Multiple Choice Worth 4 points)
(07.06) There are currently 3 people signed up for the debate club. The school will not recognize the club officially until it has more than 5 members.
Which of the following graphs includes the possible values for the number of people who still need to sign up to make the club "official?"
H>
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
-10-9-8-7-6
-3-2-1 0 1 2 3 4 5 6 7 8 9 10
--10-9-8-7-6
1-2-1 0 1 2 3 4 5 6 7 8 9 10
OH
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10

Answers

Answer:

it should be the last one

Step-by-step explanation:

What is the slope of a line of best fit if its equation is y = −2x + 3?

−2
Negative 1 over 2
1 over 3
3

Answers

Answer:

-2

Step-by-step explanation:

y=m(slope)x+b(y axis)

What is the answer 1/2 x 2 1/3

Answers

Answer:

7/6

Step-by-step explanation:

What is the area of the shaded region?

Answers

(answer is 17,680.) 24*30=720 40*40=1600 720+1600=2320. 100*200=20,000. 20,00-2320=17,680.
Yes correct the answer is 17,680

what is the value expression 26+22÷12 pls help me​

Answers

The answer is 23 .833333

Answer:

As a decimal : 27.833

As a fraction : 167/6

Step-by-step explanation:

26 + 22/12

=

26/1 + 22/12

=

26/1 + 11/6

=

156/6  + 11/6

156 + 11 / 6

=

167/6

or as a decimal 27.833

Hope this helps!

honestly lost on these problems

Answers

Answer:

29

Step-by-step explanation:

Hope this helps

mark me brainlist

Answer:

27

Step-by-step explanation:

We know the missing angle for the triangle on the left is 63. And that is the same angle reflected to the other side. There is a right angle so its 63 + 90 = 157.

180 - 157 = 27

what is this equation????
m=y2-y1\y2-y1​

Answers

Answer:

Are you sure it ia not x2 - x1 in the denominator?

Answer:

x=2-y

Step-by-step explanation:

Root (2,0)

Vertical intercept (0,2)

PLEASE HELP!! Will give out brainliest!!! But also have to explain how you got the answers!! Please and thanks!!
1) Consider the piecewise
function shown on the graph, which is composed of exponential,
linear, and polynomial pieces.
h(x)
Complete the statements describing function h.
10
8
6
Over the interval [0, 3), function h is represented
4
2
by
function
-10
-8-6
4
02
-2
4
6
8
10
Function h
a continuous function.
As x approaches positive infinity,
h(x) approaches
As x approaches negative infinity,
-10
h(x) approaches

Answers

9514 1404 393

Answer:

exponentialis+∞-∞

Step-by-step explanation:

Neither linear nor exponential functions have a "wiggle" in their graph, so the piece in the region x < 0 is polynomial.

The piece in the interval [0, 3] is concave upward and has increasing slope. It could be polynomial, but is most likely the exponential piece of the function.

For x > 3, the function is linear.

There are no gaps in function value where the transition is made from one piece to another, so the function is continuous.

The function tends upward at the right side of the graph. It tends downward at the left side of the graph. This tells you the sign of the infinity they tend toward matches the sign of the infinity x tends toward.

__

On the interval [0, 3], h(x) is represented by an exponential function.

H(x) is a continuous function.

As x approaches +∞, h(x) approaches +∞.

As x approaches -∞, h(x) approaches -∞.

Find the measure of:​

Answers

Answer:

4.8x10

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRANLIEST IF YOUR ANSWER IS CORRECT!

Answers

Answer:

1:4

2:8

3:12

4:16

Step-by-step explanation:

1:4 2:8 3:12 4:16 because every one is adding 4 hope this helps. ;)

a bag has 7 red scraps, 3 orange scraps, and 5 speckled scraps. you randomly pull a scrap from the bag, keep it out, and then pull out another one.

what is the probability of getting a speckled and then not getting a orange? write answer as a fraction.

Answers

Answer:

Step-by-step explanation:

total scraps=7+3+5

Red  Orange   Speckeled

  7         3                 5

                               -1

   7                3            4

P1=5/15

[tex]P2(1~red~ or~ 1 ~speckeled)=\frac{7}{14} +\frac{4}{14} =\frac{11}{14} \\P=\frac{5}{15} \times \frac{11}{14} =\frac{11}{42}[/tex]

can somebody help me with this quickly I forgot how to do this and yeah ill mark you!

Answers

Answer:

4/11 i believe

Step-by-step explanation:

Write the fraction 28 in its simplest form.
70​

Answers

Answer: 2/5

Step-by-step explanation: 28/70 ÷ 12/12 = 2/5

The simplest form of the given fraction is 2 / 5

What is a fraction?

A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.

Given is a fraction, 28 / 70, we have to convert it into its simplest form,

28 / 70

= 2(14) / 5(14)

= 2 / 5

Hence, the simplest form of the given fraction is 2 / 5

For more references on fractions, click;

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In the diagram, JK || GI. If the ratio of HJ to JG is 3 to 1, then what is the ratio of HK to KI?

Answers

The expression JK||GI implies line JK and GI are parallel lines

The ratio of HK : KI is 3 : 1

What is a ratio?

A ratio is used to show the relationship between two related quantities

How to determine the ratio?

The given parameter is:

HJ : JG = 3 : 1

Given that JK||GI , then it means that:

HJ : JG = HK : KI

This gives

HK : KI = 3 : 1

Hence, the ratio of HK : KI is 3 : 1

Read more about equivalent ratios at:

https://brainly.com/question/2328454

Recall the study about anchoring , in which students estimated the population of Milwaukee aft er some had been told about Chicago and others about Green Bay.

a. Describe in words the parameter(s) of interest in the context of this study.
b. In the context of the parameter(s) described in part (a), express the null and alternative hypotheses for testing whether the class data give strong evidence in support of the anchoring phenomenon described above. If you use symbols, make sure to defi ne them.
c. Check whether the conditions for the validity of the theory-based t-test to compare two means are satisfi ed here.
d. Use appropriate technology (an applet or a statistical soft - ware package) to conduct a t-test of signifi cance of the hypotheses that you stated in part (b). Report the test statistic and p-value.
e. State your conclusion in the context of the study, being sure to comment on statistical signifi cance.
f. Determine and interpret the 95% confi dence interval using a theory-based approach for the parameter(s) of interest in the context of the study.
g. Comment on causation and generalization for this study.

Answers

Answer:

hduyvhudsnuv uisdhavusdhvu wujwfhuvudf hu cvhfdyu  yf u fe7tg76iufe ygy

Step-by-step expleanation:

tgdwtydttfdtydfdsgfdgfdsvsfvgffgfg fg fg f gf gfg

fg

fg

g

fg

f


a gift box in the shape of a rectangular prism measures 8in by 8in by 10in. what is the least amount of wrapping paper needed to wrap the gift box? ​

Answers

Answer:

Step-by-step explanation:

The surface area of a rectangular prism is

A=2(xy+xz+yz), where x,y,z are the dimensions, in this case

A=2(8(8)+8(10)+8(10))

A=2(64+80+80)

A=2(224)

A=448in^2

So the minimum amount of wrapping paper is 448in^2

The batteries produced in a manufacturing plant have a mean time to failure of 30 months with a standard deviation of 2 months. I select a simple random sample of 400 batteries produced in the manufacturing plant. I test each and record how long it takes for each battery to fail. I then compute the average of all the failure times. The sampling distribution of is approximately:

Answers

Answer:

By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The batteries produced in a manufacturing plant have a mean time to failure of 30 months with a standard deviation of 2 months.

This means that [tex]\mu = 30, \sigma = 2[/tex]

Sample of 400 batteries. The sampling distribution of is approximately:

So [tex]n = 400, s = \frac{\sigma}{\sqrt{n}} = \frac{2}{\sqrt{400}} = 0.1[/tex]

By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.

( 3 x + 2 ) + ( − 5 x + 7 )

Answers

Answer: -2x+9

Step-by-step explanation:

(3

Answer:

It wasnt letting me answer so I put it in the comments but the answer is -2x+9

Step-by-step explanation:

Brainliest??

Daniel opened a savings account with $1600 that pays no interest. He deposits an additional $200 each week thereafter. How much money would Daniel have in the account 25 weeks after opening the account?

Answers

6600 is the answer

200x25 >>>5000
5000+1600....6600

please help me. In the circle below, U is the center, VX is a diameter, and m VW = 110 degrees Use this information to fill in the blanks.

Answers

Answer:

Step-by-step explanation:

Inscribed angle → ∠VXY

(Angle included between two chords meeting at a point on circumference)

Minor arc → (arc VY)

(Arc measuring less than 180° is called as minor arc)

Semicircle → (arc VWX)

(Arc inscribed by the diameter)

m(arc VWX) = 180°

(Semicircle)

m(∠VUW) = 110°

(Central angle subtended by an arc)

(7.11 x 10') (2.97 x 10-3)​

Answers

Answer:

The answer is 1898.37

if you click the image it will show you how to solve the equation. I hope this helps you.

7
Carly has a bank account with a balance of $3,575. The account pays simple interest at a rate of
4.15%. How long will it take for the account to grow to $7000? Round to the nearest year.

Answers

Answer:

It will take 23 years for the account to grow to $7000.

Step-by-step explanation:

Simple Interest

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

Carly has a bank account with a balance of $3,575.

This means that [tex]P = 3575[/tex]

The account pays simple interest at a rate of 4.15%.

This means that [tex]I = 0.0415[/tex]

How long will it take for the account to grow to $7000?

[tex]T = 7000[/tex]

The interest is:

[tex]T = E + P[/tex]

[tex]E = T - P = 7000 - 3575 = 3425[/tex]

Now we have to find t.

[tex]E = P*I*t[/tex]

[tex]3425 = 3575*0.0415*t[/tex]

[tex]t = \frac{3425}{3575*0.0415}[/tex]

[tex]t = 23.1[/tex]

Rounding to the nearest year, it will take 23 years for the account to grow to $7000.

How can you find f(4) if f(x)=7x^(2)-5

Answers

Answer:

107

Step-by-step explanation:

f(x)=7x^(2)-5

f(4) means that x=4

f(4)=7*4^(2)-5

    = 7 * 16 -5

    = 112 -5

    = 107

The part of an expression that is being added or subtracted

Answers

The terms of a mathematical expression are parts of the expression that are connected with addition or subtraction. The factors in a mathematical expression are parts of the expression that are connected with multiplication.  

I don't know what you meant  but I hope this helps.

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