What is the answer to this question

Answer:

Part 1) The measure of x is 23°

Part 2) The value of y is [tex]y=5\ units[/tex]

Part 3) The value of z is [tex]z=12\ units[/tex]

Step-by-step explanation:

step 1

Find the value of x

we know that

[tex]x+67\°=90\°[/tex] ------> by complementary angles

[tex]x=90\°-67\°=23\°[/tex]

step 2

Find the value of y

In the right triangle of the figure

[tex]cos(67\°)=\frac{y}{13}[/tex] -----> adjacent side angle of 67 degrees divided by the hypotenuse

[tex]y=(13)cos(67\°)=5\ units[/tex]

step 3

Find the value of z

In the right triangle of the figure

[tex]sin(67\°)=\frac{z}{13}[/tex] -----> opposite side angle of 67 degrees divided by the hypotenuse

[tex]z=(13)sin(67\°)=12\ units[/tex]

Check the picture below.

let's recall that a circle has a total of 360°, so the arcDCF is 360 - 266 = 94, and is the intercepted arc by the inscribed ∡DEF.

Answer:

The other 2 sides have lengths 24 and 25.

Step-by-step explanation:

h^2 = x^2 + 7^2 where x is the other leg and h is the hypotenuse.

h^2 - x^2 = 49

(h + x) (h - x) = 49

The factors of 49 are 1 , 7 , and 49.

h + x could be 49 and h - x could be 1:

(25 + 24)(25 - 24) = 49.

So h = 25 and x = 24.

Hi!

Let's take a look at the equation:

F = C + 32

What do we notice?

C and F are both variables.

Variables are unknown numbers represented by a letter.

In this case, C and F are the variables.

Hope this helps!

- Melanie

Answer:

The correct answer is D.

The correct identity Samuel should use is: D. (20 x 6) + (4 x 6) = 24 x 6

To find the total cost of ordering 24 lunch specials at $6.00 each, Samuel needs to compute 24×6.

The distributive property states that:

a×(b+c) = (a×b)+(a×c)

In this problem, we can break down 24 into 20 and 4, and then apply the distributive property.

This gives us:

24×6 = (20+4)×6

= (20×6) + (4×6)

Answer:

The prime factors of 60 are 2, 3, and 5.

Answer:

(x^2-8x+7)  +      (-8x+9)/(4x^2+3x-2)

Step-by-step explanation:

Answer:

y=mx+b

(6,6)    (3,8)

6m+b=6

3m+b=8

6m+b-3m-b=-2

3m=-2

m = -2/3

-2+b=8

b=10

y = -2/3x+10

I choose 12.

-2/3(12)+10

=2

so put x as 12; y as 2.

Answer:

We want to add an x value we have not used before. A function has EVERY X IN A DOMAIN going to ONLY ONE Y value.

6,3,9,7 are already used for x.

so you can put in x = 8 and y = 12 as an answer. That will work and show a function. There are also other answers.

Step-by-step explanation:

Step-by-step explanation:

[tex]19.60 - 3 = 16.60 \\ \frac{3}{16.60} = 0.2206 \\ 0.2206 \times 100 = 22.06\%[/tex]

Answer:

The first one: f(x) = 2

Step-by-step explanation:

In this case, we can see that for ALL values of 'x' the value of y=f(x) doesn't change, it's the same. That's why the function represented by the graph is f(x) = 2.

Answer:

f(x) =2

Step-by-step explanation:

Looking at the graph, the value of y does not change.  y always equals 2

y=2

Since this is in function notation

f(x) =2

Answer:

Conclusion: x = 0

Step-by-step explanation:

given: If a ● b = 0, then a = 0 or b = 0

then for 3x = 0, either 3 = 0 (not possible because 3 is obviously not zero) or x = 0 (answer)

recall your d = rt, distance = rate * time.

j = jet's rate

w = wind's rate

so with the wind the actual speed of the Jet is really j + w, because the wind is adding speed to it, and against it is j - w, since the wind is eroding speed from it.

[tex]\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{against the wind}&8730&j-w&9\\ \textit{with the wind}&7260&j+w&6 \end{array}~\hfill \begin{cases} 8730=(j-w)(9)\\ 7260=(j+w)(6) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{\cfrac{8730}{9}=j-w\implies }970=j-w\implies 970+w=j \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{\textit{using the 2nd equation}}{\cfrac{7260}{6}=j+w}\implies 1210=j+w\implies \stackrel{\textit{doing some substitution on \underline{j}}}{1210=(970+w)+w} \\\\\\ 1210=970+2w\implies 240=2w\implies \cfrac{240}{2}=w\implies \boxed{120=w} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know that}}{970+w=j}\implies 970+120=j\implies \boxed{1090=j}[/tex]

Answer:

4 is the width, 14 is the length

Answer:

The first one: y - 2 = -5(x - 2)

Step-by-step explanation:

Answer:

the function y – 2 = –5(x – 2) is linear.

Step-by-step explanation:

We need to find the correct option from provided options which represents a linear function

Since, the linear equation is in the form of y=mx+c where m is slope of line.

In first part y – 2 = –5(x – 2)

Simplify, the function

[tex]y -2 = -5x + 10[/tex]

Add both the sides by 2, in above equation

[tex]y = -5x +12[/tex]

This function is in the form of y=mx+c

so, this is a linear function

In second part x + 7 = –4(x + 8)

Simplify, the function

[tex]x+7= -4x+32[/tex]

subtract both the sides by 7, in above expression

[tex]x= -4x+32-7[/tex]

[tex]x= -4x+25[/tex]

add both the sides by 4x,

[tex]x +4x= 25[/tex]

[tex]5x= 25[/tex]

divide both the sides by 5,

[tex]x =5[/tex]

This is not in the form of y=mx+c

so, this is not a linear function

In third part y – 3 = y(x + 4)

Simplify, the function

[tex]y-3= yx+4y[/tex]

add both the sides by 3,

[tex]y= yx+4y+3[/tex]

This is not in the form of y=mx+c

so, this is not a linear function

In fourth part y + 9 = x(x - 1)

Simplify, the function

[tex]y+9= x^{2}-x[/tex]

subtract both the sides by 9,

[tex]y= x^{2}-x-9[/tex]

This is not in the form of y=mx+c

so, this is not a linear function

Therefore, the function y – 2 = –5(x – 2) is linear.

Answer:

139

Step-by-step explanation:

a pentagon has degrees that add up to 540 so considering youre given 401 degrees the remaining angle has to be 139

The required inequality would be 99x + 84 ≤ 1,150. so the correct option is C.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

Given;

The cost of the shirt she bought = $ 84,

And the cost of each watch she bought = $ 99,

Now Suppose she bought x watches,

So, the cost of x watches = 99x dollars,

Also, her total spending = 84 + 99x

Since she has a total budget of $1,150,

That is her spending can not be exceed $ 1,150, ( or spending must be less than or equal to $ 1150 )

⇒ 99x + 84 ≤ 1,150

Hence the required inequality would be 99x + 84 ≤ 1,150. so the correct option is C.

Learn more about inequalities here:

https://brainly.com/question/27425770

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Answer:

D. x = 8

Step-by-step explanation:

MNOP is a trapezoid with a meadian QR

So

QR = 1/2(NO + MP)

2(QR) = NO + MP

2(16) = 8 + 2x + 8

32 = 2x + 16

2x = 16

 x = 8

Answer:

The correct answer option is D. x = 8.

Step-by-step explanation:

We are given a trapezoid MNOP with the median QR and we are to find the value of x.

If we observe the figure, we can see that the length QR is the double of NO which means 8 units are added to NO. So the ratio for NO and MP would be 1:3.

NO = 8

QR = 8 + 8 = 16

MP = 8 + 8 + 8 = 24

Finding x:

2x + 8 = 24

2x = 24 - 8

2x = 16

x = 8

so the trapezoidal prism is really 4 rectangles and 2 isosceles trapezoids.

so we can simply get the area of each of those shapes and sum them up and that's the area of the prism.

[tex]\bf \stackrel{\stackrel{\textit{front and back}}{\textit{trapezoids}}}{2\left[ \cfrac{6(4+12)}{2} \right]}+\stackrel{\stackrel{\textit{left and right}}{\textit{rectangles}}}{2(6\cdot 6)}+\stackrel{\textit{top rectangle}}{(4\cdot 6)}+\stackrel{\textit{bottom rectangle}}{(6\cdot 12)} \\\\\\ 6(16)+72+24+72\implies 96+168\implies 264[/tex]

Answer:

The correct answer would be B, Sometimes.

Step-by-step explanation:

Rational numbers are sometimes the natural numbers.

Rational numbers are the numbers that can be expressed as a quotient or fraction of two integers. Rational numbers can be in the form of decimals or natural numbers. Natural Numbers are the normal integers like 1, 2, 3, 4, etc. So the resulting numbers of any equation will give a rational number or a natural number. So it is so correct to say that rational numbers are sometimes the natural numbers.  

Answer:

x-intercept: (1/3,0)

y-intercept: none

Answer:

-3

Hope this helps! Please mark as brainliest.

Answer:

36 minutes

Step-by-step explanation:

In order to find how many minutes it takes to fill 675 bottles, we need to find how many bottles the machine produces in one minute.

To do so, we can divide 150 by 8, which would give us the total amount of bottles produced in one minute.

150/8 = 18.75

So, 18.75 bottles are produced in one minute

To find the total number of minutes it takes to fill 675 bottles, we can divide 675 by the number of bottles produced in one minute, which is 18.75

675/18.75 = 36

Therefore, it takes the machine 36 minutes to fill 675 bottles.

Given : Machine fills 150 bottles of water every 8 minutes

[tex]\mathsf{\implies Machine\;fills\;1\;bottle\;of\;water\;in\;\left(\dfrac{8}{150}\right)\;minutes}[/tex]

[tex]\mathsf{\implies Machine\;fills\;(675 \times 1)\;bottles\;of\;water\;in\;\left(675 \times \dfrac{8}{150}\right)\;minutes}[/tex]

[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\left(675 \times \dfrac{4}{75}\right)\;minutes}[/tex]

[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\left(135 \times \dfrac{4}{15}\right)\;minutes}[/tex]

[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\left(9 \times 4}\right)\;minutes}[/tex]

[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\boxed{\mathsf{36}}\;minutes}[/tex]

8n + 12 +(-9) -(-6n)

12 + -9 = 12-9 = 3

8n - (-6n) = 8n + 6n = 14n

The equation becomes 14n + 3

Answer:

no because you have division by a variable

Step-by-step explanation:

If you have y   +   2/y as an expression, this expression is not a polynomial expression because you have division by variable.

You are looking for an expression with only positive or 0 integer exponents.  

Here are some examples of a polynomial:

5

5x+1

5x^2+x+1

-x

-x+1

3x^3+5x+1

4x^4+7x^2+x+1

and so on...

Here are some examples of expressions that aren't polynomials:

5+sqrt(x)

5+|x|

|x|-5

x^2+5|x|

5/x^3

6x^(-2)

and son on....

Answer:

3.86 (or 3.9)

Step-by-step explanation:

There's a logarithm function on a graphing calculator

Hola! My name is Zalgo and I am here to help you out today. So, let's observer everyone's ratio and if it can be simplified, we can simplify ti to make it easier. Jasmine has 12:10, Aaron has 3:2, Lucian has 10:10 and Gretchen has 14:2. If we simplify Jasmines, for every 6 blue, she has 5 red (6:5). Lucian has an equal ration if we simplify it (1:1) and Gretchen would have 7 blue for every 1 red (7:1). So, the person with the lowest ration would be Lucian.

I hope that this helps! :3

"Stay Brainly and stay proud!" - Zalgo

(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Gracias! XT)

Lucian has the lowest ratio of blue to red marbles which is 1:1 option third "Lucian" is the correct choice.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have data shown in the table:

For Jasmine, the ratio of blue to red marbles:

12:10

6:5

For Aaron, the ratio of blue to red marbles:

3:2

For Lucian, the ratio of blue to red marbles:

10:10

1:1

For Gretchen, the ratio of blue to red marbles:

14:2

7:1

Thus, Lucian has the lowest ratio of blue to red marbles which is 1:1 option third "Lucian" is the correct choice.

Learn more about the ratio here:

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Answer:

After 2 years Miguel will have in his account $541.64

Step-by-step explanation:

The formula for calculating compound interest continuously is:

[tex]A=pe^{rt}[/tex]

Where A is the amount of money obtained after t years.

r is the compound interest rate and p is the initial amount

In this case we have that:

[tex]p=\$500\\\\t=2\ years\\\\r=0.04[/tex]

Then we must find the final amount A

[tex]A=500e^{0.04(2)}[/tex]

[tex]A=\$541.64[/tex]

Answer:

1/9

Step-by-step explanation:

1/3*1/3=1/9