Find the lengths of sides marked with variables (x, y, w, z). Show all work

Find The Lengths Of Sides Marked With Variables (x, Y, W, Z). Show All Work

Answers

Answer 1

Answer:

1) 19.07 m, 2) 80.10 ft, 3) 56.79 m

Step-by-step explanation:

Use trigonometry to solve for unknowns.

1) Use sinesine = opposite leg / hypotenusesin 27° = x/42x = 42 sin 27°x = 19.07 m (rounded)

2) Use tangenttangent = opposite leg / adjacent legtan 23° = 34/xx = 34 / tan 23°x = 80.10 ft

3) Use cosinecosine = adjacent leg / hypotenusecos 48° = 38/xx = 38 / cos 48° x = 56.79 m (rounded)

Answer 2

#1

sin27=x/42x=42sin27x=19.07m

#2

tan23=34/xx=34/tan23x=80.1ft

#3

cos48=38/xx=38/cos48x=56.79m

Related Questions

whenx=2y=50 and whenx=4y=100 Which direct variation equation can be used to model this function?

Answers

The equation which is used to model this function is y = 25x.

What is equation?

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

Given:

x=2 , y=50

x=4, y=100

As, corresponding to x =2 , y =50

For x=1 , y=25

Hence, the equation which is used to model this function is y = 25x.

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Can someone help me with this?

Answers

D option is correct by SSS congruence rule

The measure of central angle QRS is 8pi/9 radians. What is the area of the shaded sector?

Answers

The area of the shaded sector must be 144π units².

What is the area of the circle?

The area of the circle is defined as the product of the pie and the square of the radius.

The area of the circle = [tex]\pi r^{2}[/tex]

We know that the angle measurement of central angle QRS is less than π radians.

for r = 18 units

The area of the circle = π18² = 324π  units²

The area of ​​the half of a circle = 324π /2 = 162π units²

The area of ​​a quarter of a circle = 324π /4 = 81π  units²

so

The area of the shaded sector < 162π  units²

and

The area of the shaded sector > 81π  units²

Hence the answer must be 144π units²

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(X-3)2 -0
Ajuda, alguém ajuda?

Answers

Answer:

(X- 3)² - 0

(X - 3 )( X - 3 )

x² + 9 - 6x

x² - 6x + 9

a = 1

b = -6

c = 9

A solid right pyramid has a regular hexagonal base with an area of 7.4 units2. The pyramid has a height of 6 units.

Answers

It should be noted that the volume of the pyramid will be 14.8 unit³.

From the information given, the solid right pyramid has a regular hexagonal base with an area of 7.4 units².

The height of the pyramid is also 6 units.

Therefore, the volume of the pyramid will be

What is the formula for the area of the pyramid?

= 1/3 × Area of the base × height

= 1/3 × 7.4 × 6

= 14.8 units³

In conclusion, the volume of the pyramid is 14.8 unit³.

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Which expression is equivalent to

( 4^(1/3) × 4^(2/6) ) ^(3/4)
( ---------÷------------ )
( 4^(5/6) )

*All the numbers in the division problem are in parenthesis with the ^(3/4) on the outside.*

A: (1/4)^(3/66)
B: (1/4)^(-3/66)
C:(1/4)^(-1/11)
D: (1/4)^(1/11)

Answers

The simplified form of the expression is [tex]4^{-1/3}[/tex]

Indices and exponents

Given the indices expression as shown;
[tex]\frac{(4^{1/3}\times 4^{2/6} )^{3/4}}{4^{5/6}}[/tex]

Applying the product and quotient law of indices

[tex]\frac{(4^{1/3+1/3})^{3/4}}{4^{5/6}}\\\frac{(4^{2/3})^{3/4}}{4^{5/6}}\\\frac{4^{1/2}}{4^{5/6}}\\[/tex]

Take the difference in the power to have:

4^(1/2 - 5/6)

4^(-2/6)

[tex]4^{-1/3}[/tex]

Hence the simplified form of the expression is [tex]4^{-1/3}[/tex]

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The ratio of boys to girls in a classroom is 2 : 3. If there are
20 children in total, how many boys are there?

Answers

Answer:

8

Step-by-step explanation:

let the ratio constant be 'x'

=> 2x:3x

sum = 2x + 3x = 5x

Total number of boys

=>(2x/5x)20 = 8

Question -:

The ratio of boys and girls in a classroom is 2 : 3 respectively. If the total number of children is 20. How many boys are there in the class ?

Explanation -:

In this question we are provided with the ratio of boys isto girls that is 2 : 3 it is also given that total number of children are 20. We are asked to calculate number of boys.

[tex] \green{ \small \pmb{\tt{ First \: we \: will \: form \: an \: equation }}}[/tex]

Let us assume the number of girls as 3x and number of boys as 2x.

Total number of children = 20

3x + 2x = 20

[tex] \orange{\small \pmb{\tt{ Now \: we \: will \: solve \: this \: equation }}}[/tex]

[tex] \small\frak{ 3x + 2x = 20}[/tex]

[tex] \small\frak{ 5x = 20}[/tex]

[tex] \small\frak{ x = \dfrac{20}{5} = 4}[/tex]

[tex] \small \underline{ \boxed{\pmb{x = 4} }} \large \: \star[/tex]

Boys = 2 × 4 = 8

Girls = 3 × 4 = 12

Hence 8 boys and 12 girls are there in the classroom.

[tex] \tiny \tt{spbankingandsscseries}[/tex]

culture started with 2,000 bacteria. After 3
ours, it grew to 2,600 bacteria. Predict how
any bacteria will be present after 9 hours.
ound your answer to the nearest whole
umber.
P = Aekt

Answers

Step-by-step explanation:

2600 = 2000•e^3k

e^3k = 2600/2000

e^3k = 13/10

3k = ln(13/10)

k ≈ 0.087

P = 2000•e^0.087•9

P = 4376

I need this due by tonight what is 45+x=75

Answers

Answer:30

Step-by-step explanation: jus subtract total number by 45 to c what u missin

Given: [tex]\textsf{45 + x = 75}[/tex]

Need:  [tex]\textsf{The value of the unknown x}[/tex]

Solution:  In order to solve for the unknown we must subtract 45 from both sides which would isolate x and given us the value.

Subtract 45 from both sides

[tex]\textsf{45 - 45 + x = 75 - 45}[/tex][tex]\textsf{x = 75 - 45}[/tex][tex]\textsf{x = 30}[/tex]

After simplifying the expression we were able to determine that x is equal to 30.

Now write 40,630 in scientific notation

Answers

Answer:

40630=4.063× 10 power 4

Another one. Which term best describes the slope of the line below?

Answers

it would be undefined, when it’s going on the y axes it’s undefined. when it’s going on the x axes it’s a zero slope

The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 9.7% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. Assuming his suspicion that 9.7% of his customers buy a magazine is correct, what is the probability that exactly 5 out of the first 10 customers buy a magazine?

Answers

The probability that exactly 5 out of the first 10 customers buy a magazine is 0.00126.

Given suspicion of 9.7% that buy a magazine is correct.

We have to find the probability that exactly 5 out of the first 10 customers buy a magazine. Probability is the chance of happening an event among all the events possible.

The binomial distribution is the probability of exactly x successes on n repeated trials and X can only have two outcomes.

[tex]P(X=x)=C_{n,x}p^{x} (1-p)^{n-x}[/tex]

In which [tex]C_{n,x}=n!/x!(n-x)![/tex]

And P is the probability of happening of X.

In the question 9.7% of his customers buy a magazine.

So the value of P=0.097

This can be calculated by :

P(X=5) when n=13

[tex]P(X=x)=C_{n,x} p^{x} (1-p)^{n-x}[/tex]

[tex]P(X=5)=C_{10,5} (0.097)^{5} (1-0.097)^{10-5}[/tex]

=[tex]P(X=5)=C_{10,5} (0.097)^{5} (0.903)^{5}[/tex]

[tex]=10!/5!5!*0.0000085*0.600397[/tex]

=252*0.00000510

=0.001286

Hence the probability that exactly 5 out of the first 10 customers buy a magazine is 0.001286.

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URGENT: Which equation correctly uses the value of b to solve for a?


Triangle ABC is a right triangle and cos(22.6°) = [tex]\frac{b}{13}[/tex]. Solve for b and round to the nearest whole number.


OPTIONS:


1 ) tan(22.6°) = [tex]\frac{a}{13}[/tex]

2 ) tan(22.6°) = [tex]\frac{13}{a}[/tex]

3 ) tan(22.6°) = [tex]\frac{a}{12}[/tex]

4 ) tan(22.6°) = [tex]\frac{12}{a}[/tex]

Answers

Answer:

Option 1

Step-by-step explanation:

See attached image

two consecutive odd integers such that 4 times the larger is 29 more than 3 times the smaller

Answers

Answer:

21

Step-by-step explanation:

a,a+2,..

4(a+2)=29+3a

4a+8=29+3a

4a-3a=29-8

a=21

Here is an equation: 5x - 2y = 10
Create 3 equations that result in…
1. 1 solution
2. No Solutions
3. Infinitely many solutions

You should provide three different answers and an explanation why your equations work.

Answers

Answer:

one solution from the amount of numbers

What number were both the numerator and denominator multiplied by to arrive at the equivalent fraction? What number were both the numerator and denominator multiplied by to arrive at the equivalent fraction ?​

Answers

Answer:

Both the numerator and denominator should be multiplied by the same number to arrive at the equivalent fraction.

Step-by-step explanation:

Equivalent fractions =  two or more than two fractions are said to be equal if both results the same fraction after simplification.

For example, consider the fraction 1/3

Multiplying numerator and denominator with 2, we get 1/3 × 2/2 = 2/6

Multiplying numerator and denominator with 3, we get 1/3 × 3/3 = 3/9

Multiplying numerator and denominator with 4, we get 1/3 × 4/4 = 4/12

Therefore, we can conclude that,

1/3 = 2/6 = 3/9 = 4/12 these are equivalent fractions.

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Answer: 2 and 6/8

Step-by-step explanation:

A researcher finds that the more hours students party per week, the lower their gpas (grade point averages). she questions whether there may be other issues affecting the students' gpas that weren't taken into account, such as the number of hours spent studying, class attendance, or the number of hours worked at campus jobs. what are these additional factors called

Answers

Answer:

I believe "uncontrolled variables."

Step-by-step explanation:

Since there was no measure, nor control, of these other variables, the data may be questionable.  

What is the value of x in the following equation?
11-2x+6x+5=32

Answers

Answer:

The value of x is 4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

11−2x+6x+5=32

11+−2x+6x+5=32

(−2x+6x)+(11+5)=32

4x+16=32

4x+16=32

Step 2: Subtract 16 from both sides.

4x+16−16=32−16

4x=16

Step 3: Divide both sides by 4.

((4x)/4) = (16/4)

x = 4

Answer:

11-2x+6x=32-5

-2x+6x=27-11

-2x+6x=16

4x÷4=16÷4

x=4

Describe a real-world example in which hidden variables may be an issue, taking care to identify each variable and its relationship to the others.

Answers

A real-life example of a hidden variable would be age in research that checks the correlation between shirt sizes in grade school and reading ability.

What is a real-world example of hidden variables?

In a research that checks whether student shirt sizes (independent variable) have an impact on reading ability, it is found that students with high shirt sizes are better at reading.

A hidden variable here is age. Students who are older will more likely have a higher shirt size and better reading comprehension.

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State whether the following physical quantities are scalars or vectors: a. Pressure. b. Electric current. c. Conductivity. d. Electric conductance. e. Frequency. f. Heat capacity. g. Impedance. h. Power. i. Torque. j. Latent heat
This is further maths questions​

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \large Scaler : [/tex]

Pressure Electric current Conductivity Electric Conductance Frequency Heat capacity PowerLatent heat

[tex]\qquad \tt \large Vector : [/tex]

ImpedanceTorque

____________________________________

[tex] \large \tt Explanation \: : [/tex]

[tex] \textsf{Scaler quantity : } [/tex]

Those quantities that can be expressed simply by its magnitude [numeric value and unit] are known as Scaler quantities.

Operations on Scaler quantities can be done by simple algebraic rules.

Eg. Pressure, Electric current, Conductivity, Electric Conductance, frequency, heat capacity, power, latent heat, etc

[tex] \textsf{Vector quantity } [/tex]

Those quantities that need magnitude and direction to define express itself and follows Vector law of addition are known as Vector quantities.

Vector algebra is used for operations on vector quantities.

Eg. Impedance, Torque, etc

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

a. What type of triangle is Triangle ABC?
b. Give reasons for your answer

Answers

Since two of the angles are equal, hence the triangle ABC is isosceles triangle

What is a triangle?

A triangle is a  2D shape that has 3 sides and angles

From the given triangle

<CAB = 50 (alternate angle) and;

<ACB = 180 - (50 + 80)

<ACB = 180 -130

<ACB = 50 degrees

Since two of the angles are equal, hence the triangle ABC is isosceles triangle

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Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!

Answers

Answer:

D

Step-by-step explanation:

definitely

i need these missing blanks please..

Answers

What number can divide
42, 42x and -35x^2

what is an equivalent expression ​

Answers

Answer:

1st option

Step-by-step explanation:

using the rules of logarithms

• log x + log y = log xy

• n logx ⇔[tex]x^{n}[/tex]

given

2[tex]log_{2}[/tex] 3 + [tex]log_{2}[/tex] 3

= [tex]log_{2}[/tex] 3² + [tex]log_{2}[/tex] 3

= [tex]log_{2}[/tex] 9 + [tex]log_{2}[/tex] 3

= [tex]log_{2}[/tex] (9 × 3)

= [tex]log_{2}[/tex] 27

Write the algebraic expression for the following statement.

The sum of a number and 3 is 14.

Answers

Answer:

the algebraic expression is; x+3=14

The graph represents the piecewise function

Answers

The piece-wise function is defined as follows:

[tex]f(x) = x^2, 0 \leq x < 3[/tex].[tex]f(x) = -\frac{5}{3}x + 14, 3 < x \leq 6[/tex].[tex]f(x) = \frac{3}{2}x - 5, 6 \leq x \leq 10[/tex].

What is a piece-wise function?

A piece-wise function is a function that has multiple definitions, depending on the input.

In this graph, for x at least 0 and less than 3, the parabolic curve passes through (0,0), (1,1), (2,4) and has an open interval at (3,9), hence the definition is:

[tex]f(x) = x^2, 0 \leq x < 3[/tex]

For x greater than 3 and at most 6, it is a line going through (3,9) and (6,4), hence:

[tex]m = \frac{9 - 4}{3 - 6} = -\frac{5}{3}[/tex]

[tex]f(x) = -\frac{5}{3}x + b[/tex]

Goes through (3,9), hence:

[tex]9 = -\frac{5}{3}(3) + b[/tex]

b = 14.

So

[tex]f(x) = -\frac{5}{3}x + 14, 3 < x \leq 6[/tex]

For x between 6 and 10, it is a line going through (6,4) and (10,10), hence:

[tex]m = \frac{10 - 4}{10 - 6} = \frac{6}{4} = \frac{3}{2}[/tex]

Then:

[tex]f(x) = \frac{3}{2}x + b[/tex]

When x = 10, f(x) = 10, hence:

[tex]10 = \frac{3}{2}(10) + b[/tex]

10 = 15 + b

b = -5.

Hence:

[tex]f(x) = \frac{3}{2}x - 5, 6 \leq x \leq 10[/tex]

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Given the image below, find the maximum value for z.

-3.5 < z < ___

I am so confused on how it's even possible to solve this

Answers

Answer:

-2.5 < x < 71

Step-by-step explanation:

I don't see a 'z' here, so I'll use x from the picture.

You would line up your values as such:

0 < 2x+5 < 71

You have a zero at the beginning because even without having an x value, your outcome would still be 5.

Subtract 5 from all sides.

-5 < 2x < 66

You now divide by two on both sides.

-2.5 < x < 33.

Which is your final answer.

You cannot go over 33, since 71 is your largest angle, and having something like say, 34, would give you 73.

-2.5 is your lowest value since if you went lower, you would have a negative angle, which isn't possible.

Which of the following is not a good conductor of heat?

Answers

Aluminum and crayons is a bad choice

What’s the answer helppppppp

Answers

Answer:

the answer is d........

Please help!!!! ASAP!!!!!!!!!!

Answers

Answer:

   [tex]\sqrt[]{4+\frac{1}{25}y }[/tex]

Step-by-step explanation:

Transform - y-25^2=-100

divide

simplify

x plus-minus [tex]\sqrt[]{4+\frac{1}{25}y }[/tex]

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