Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show your work

Consider The Right Triangle Below. Solve For X. Label The Sides In The Image As Opposite, Adjacent, Or

Answers

Answer 1
Answer:   x = 19.7  (choice C)

=========================================================

Explanation:

The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.

Also unknown is the value of x which is the hypotenuse.

To summarize:

opposite = vertical leg = 8adjacent = horizontal leg = unknownhypotenuse = x

The hypotenuse is always opposite the 90 degree angle.

To tie together the opposite and hypotenuse, we'll use the sine ratio

sin(angle) = opposite/hypotenuse

sin(24) = 8/x

x*sin(24) = 8

x = 8/sin(24)

x = 19.6687 approximately

x = 19.7 after rounding to the nearest tenth.

Side note: your calculator needs to be in degree mode


Related Questions

Help ???????????? ?????

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Answer:

A

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

Please help me evaluate f(x)=-52

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Answer:

Axis interception points of -52 :

Y intercepts : (0,-52 )

-2/9 (-5/3) I Ready Multiply and Divide Rationals.

Answers

-2/6 -1/2 mine is in the same English as the first

Select the correct answer. Evaluate the following expression when x = -4 and y = 4. A. B. C. D.

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The value of given expression when x=-4 and y=4 is 1250.

The expression is missing in the question which is [tex]\dfrac{x^6-x}{4y}[/tex].

We have to solve it for x= -4 and y = 4.

Now putting the value of x and y we get,

[tex]\dfrac{x^6-x}{4y}=\dfrac{(-4)^6-(-4)}{4}[/tex]

[tex]\dfrac{x^6-x}{4y}=\dfrac{4096+4}{4}[/tex]

[tex]\dfrac{x^6-x}{4y}=1250[/tex]

Hence the value of given expression when x=-4 and y=4 is 1250.

For more details follow the link:

https://brainly.com/question/11897796

2. A small university is trying to monitor its electricity usage. For a random sample of
30 weekend days (Saturdays and Sundays), the student center used an average of 94.26 kilowatt hours (kWh) with standard deviation 43.29. For a random sample of 60 weekdays, (Monday - Friday), the student center used an average of 112.63 kWh with standard deviation 32.07.(Please show work)

a) Test, at the 5% level, if significantly more electricity is used at the student center, on average, on weekdays than weekend days. Remember to check the conditions, identify the hypotheses, define your parameter, find the test statistic, find the p-value, and give a conclusion in context.

b) Construct a 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days. Use two decimal places in your margin of error.

Answers

Using the t-distribution, it is found that:

a) Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that significantly more electricity is used at the student center, on average, on weekdays than weekend days.

b) The 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days is (3.56, 33.18).

Item a:

At the null hypothesis, it is tested if there is no difference, that is, the subtraction is at most 0, hence:

[tex]H_0: \mu_1 - \mu_2 \leq 0[/tex]

At the alternative hypothesis, it is tested if there is difference, that is, the subtraction is positive, hence:

[tex]H_1: \mu_1 - \mu_2 > 0[/tex]

The standard errors are given by:

[tex]s_1 = \frac{32.07}{\sqrt{60}} = 4.14[/tex]

[tex]s_2 = \frac{43.29}{\sqrt{30}} = 7.9[/tex]

The distribution of the difference has mean and standard deviation given by:

[tex]\overline{x} = \mu_1 - \mu_2 = 112.63 - 94.26 = 18.37[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{4.14^2 + 7.9^2} = 8.92[/tex]

The standard deviation are given for the samples, hence, the t-distribution is used.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the hypothesis.

Hence:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{18.37 - 0}{8.92}[/tex]

[tex]t = 2.06[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 30 + 60 - 2 = 88 df is [tex]t^{\ast} = 1.66[/tex]

Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that significantly more electricity is used at the student center, on average, on weekdays than weekend days.

Item b:

The interval is:

[tex]\overline{x} \pm t^{\ast}s[/tex]

Hence:

[tex]\overline{x} - t^{\ast}s = 18.37 - 1.66(8.92) = 3.56[/tex]

[tex]\overline{x} + t^{\ast}s = 18.37 + 1.66(8.92) = 33.18[/tex]

The 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days is (3.56, 33.18).

A similar problem is given at https://brainly.com/question/25812826

Find the equation of line through (-15,9) with slope 4/5 in slope-intercept form.

Answers

Answer:

well, we know it is

y = -4 x + b

so all we need is b

5 = -4(9) + b

5 = -36 + b

b = 41

so

y = -4 x + 41

3. Allison bought some shirts for her clothing store for $15 each. She received $50 off her entire purchase and spent a total of $400. How many shirts did Allison purchase for her store?​

Answers

Answer:

30

Step-by-step explanation:

15x30 = 450

Answer:

She purchased 30 shirts.

Step-by-step explanation:

She paid only $400 Dollars, because she got a discount of $50.

So the total before getting the discount was $450.

If you divide $450 by $15 (the price for 1 shirt) you come up with 30.

450/15 = 30

What is the approximate value of q in the equation below? q log Subscript 2 Baseline 6 = 2 q 2 â€""1. 613 â€""1. 522 0. 585 3. 79.

Answers

The approximate value of q in the equation is [tex]0.774[/tex]

The equation is given as:

[tex]q\log_2(6) = 2[/tex]

Divide both sides of the equation by [tex]\log_2(6)[/tex].

So, we have:

[tex]q= \frac{2}{\log_2(6) }[/tex]

Determine log(6) base 2

[tex]q= \frac{2}{2.585}[/tex]

Divide 2 by 2.585

[tex]q= 0.774[/tex]

Hence, the approximate value of q in the equation is [tex]0.774[/tex]

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The value of a small airplane depreciates exponentially every year after it is
purchased. The value, in thousands of dollars, alt), of Plane X, t years after purchase
can be approximated by this function.

Answers

Answer: the operation can be said as x( 576-68)t-5= x

Step-by-step explanation:

You can see this because I am smart and just am

p²÷4-m; use m=3, and p=4​

Answers

(4)^2 / 4 - (3)
16 / 1
answer should be 16

Hey y’all, please help me

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Hey the answer is c because i need points and idc

What is the area of this figure?

Answers

Answer:

84mm

Step-by-step explanation:

square = LxW = 6x6 =36

triangle = bxh/2 = 6x8/2 =24

add together 24x2+36=84

Jake drew a scale drawing of a house. He used the scale 10 inches = 6 feet. What is the scale factor of the drawing?

Simplify your answer and write it as a fraction.

Answers

Answer:

5:36

Step-by-step explanation:

12 inches = 1 foot, so 6 feet = 72 inches

10:72, reduces to 5:36

Find the slope-intercept equation of the line
that passes through (5, -3) and has a
slope of -1/2

Answers

Answer:

y = -1/2x - 1/2

Step-by-step explanation:

lmk if you want an explanation

1) If

[tex] \frac{1}{a + 1} + \frac{1}{b + 1} + \frac{1}{c + 1} = 2[/tex]
[tex]then \: {a}^{2} + {b}^{2} + {c}^{2} is[/tex]
Option :-

[tex]a) \frac{3}{4} [/tex]
[tex]b) \frac{1}{3} [/tex]
[tex]c) \frac{27}{16} [/tex]
[tex]d) \frac{4}{3} [/tex]


● NEED GENUINE ANSWER
●DON'T SPAM OTHERWISE ANSWER WILL BE REPORT​

Answers

The sum of the square of the constants is 3/4

Given the equation [tex]\frac{1}{a+1} +\frac{1}{b+1} +\frac{1}{c+1} =2[/tex]

The partial form of the equation is given as:

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

Solve for the constant "a"

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

Hence [tex]a=b=c=-\frac{1}{2} \\[/tex]

Taking the square of the constant, we will have:

[tex]a^2 + b^2 + c^2 =(-1/2)^2 +(-1/2)^2+(-1/2)^2\\a^2 + b^2 + c^2 =1/4 + 1/4 + 1/4\\a^2 + b^2 + c^2 =3/4[/tex]

Hence the sum of the square of the constants is 3/4

Learn more on partial fraction here: https://brainly.com/question/24594390

Answer -the sum of the square of the consonants is 3/4

Hi can someone pls help me with this!!!

Answers

the domain is the x value (first number) and the range is the y value (second number)

(if a number appears more than once in the domain or range, like in number 1 you don't have to write it again.)

to graph the domain and range you just plot the points,

and to map them you have to put the x values in the first oval and the y values in the second, usually in order from smallest to largest.

then you have to draw arrows connecting each x value to the y value that was in the same pair. just like when writing down the domain/range, if a number comes up again you don't have to write it down again. instead, you might have two or more arrows connecting to the same  number.

The sum of three consecutive odd numbers is 153 find the number ​

Answers

Answer:

Divide the no. by three

Step-by-step explanation:

153÷3 = 51

so, 51+51+51 = 153

Answer:

an odd number can be expressed as 2n+1 (2n would be even, add 1 = odd)

first number = 2n+1

second number = 2n+3 -> skip + 2 because it would make it even

third number = 2n+5

2n+1+2n+3+2n+5=153

6n+9=153

6n=144

n=24

24*2+1=48+1=49

24*2+3=48+3=51

24*2+5=48+5=53

the numbers are 49, 51, and 53.

which mapping diagram does NOT represent a function from x > y ?

Answers

Answer:

A

Step-by-step explanation:

In a function, each x value must have a singular y value. This means that one x-value (the values on the left) may not have a line pointing to 2 different y-values (the values on the right). In the first relation, the x-value of 6 points to both 4 and 6. This means that the value repeats, and in a function x-values cannot repeat.

However, y-values can repeat. So, situations like that seen in D, where both the x-values of 2 and 4 equal the y-value of 6 are fine.

Answer:

It's A

Step-by-step explanation:

Find the sum in SIMPLEST form:

3/10+1/10=

A 4/20
B 2/5
C 4/10
D 1/5

Answers

Answer:

B. 2/5

Step-by-step explanation:

I hope this helps!

Answer:

B 2/5

Step-by-step explanation:

Hey! Please help me ASAP.

Answers

I think its the third one but im not completly sure

Answer:

-t-5>-1.5

Step-by-step explanation:

Just ask.

Hope this helps! :)

Help help hep math math

Answers

Answer:

96

Step-by-step explanation:

C=πd

C=?

π=3

d=32

C=3×32

Therefore C=96

how do you compute the area of the triangle

Answers

the area of a triangle can be calculated by

1/2 *b*h

or
bh/2

(b is base;H is height)

Please someone help me with this question

Answers

[tex]d = 7[/tex]

- BRAINLIEST answerer

y = {x-5?
Which equation describes a line parallel to the line described by y-
Your answer:
o y=-2x
o y=-3x+1
oy
-
Oy - 2x - 5
Clear answer
Back
NEW

Answers

Answer:

The third option, 1/2..

x= [ ? ]°
104°
1170
1249
100°

Answers

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkk

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Sum of angles of a pentagon is ~ 540°

Therefore,

[tex] \sf104 + 117 + 100 + 124 + x = 540 [/tex]

[tex] \sf445 + x = 540[/tex]

[tex] \sf x = 540 - 445[/tex]

[tex] \sf x = 95 \degree[/tex]

Value of x = 95°

The following diagram shows the side view of a roof and attic space of a newly constructed
home. Find m

A. 20°
B. 40°
C. 60°
D. 25°

Answers

Answer:

A 20

Step-by-step explanation:

yeah-ya....... right?

i need the answr for 3+x=10 please explain as well​

Answers

Answer:

7

Step-by-step explanation:

basically just subtract 10-3=7 then to check 3+7=10

Answer:

x = 7

Step-by-step explanation:

3 + x = 10

-3         -3

x = 7

you subtract by 3 on both sides (because the opposite property of addition is subtraction) to cancel it out and isolate the x.

Chose the justification for each step in the solution to the given equation stop application subtraction property of equality multiplication property of equality division property of equality addition property of equality

Answers

Answer:

Step-by-step explanation:

WHAT IS 62729287937927497393884x0
I NEED HELP!!!!!!!!!
PLEASEEEEEE

Answers

Answer:your mom

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

Any value multiplied by Zero gives Zero, therefore ~

[tex] \sf62729287937927497393884 \times 0 = 0[/tex]

solve 5/4 ​ × (− 9/2 ​ )

Answers

Answer:

-40/8= -5

Step-by-step explanation:

Multiply the top to get -40 then the bottom to get 8. When you simplify, you get -5.

Answer:

-5.625

Step-by-step explanation:

5/4 × (-9/2)

=5×(-9)/4×2

=-45/8

=-5.625

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