15. Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\bf\:x = 4}[/tex]

Step-by-step explanation:

[tex]3 + x = 7[/tex]

Bring 3 to the right hand side of the equation and isolate the variable.

[tex]3 + x = 7\\x = 7 - 3\\\boxed{\bf\:x = 4}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

fg(x) = 32x²+44x+16

Step-by-step explanation:

fg(x) = f[g(x)]

= f(4x+3)

= 2(4x+3)²-(4x+3)+1

= 2(4x+3)²-(4x+3)+1

= 2(16x²+24x+9)-4x-3+1

= 32x²+44x+16

The quantity of water the farming conglomerate would use 17 years from now is 65,708.11.

The formula for calculating the amount of water that would be needed 1 years from now:

FV = P (1 + r)^N

13000 x 1.1^17 = 65,708.11

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Answer:

x = 5

Step-by-step explanation:

Given coordinates: (3, 4) (x, 6)

Slope: 1

Use the slope formula to find the value of x:

Slope = y2 - y1 / x2 - x1

Substitute the given information into the formula:

1 = [tex]\frac{6-4}{x-3}[/tex]

1 = [tex]\frac{2}{x-3}[/tex]

Multiply both sides of the equation by the common denominator:

[tex]\frac{2(x-3)}{x-3} = x-3[/tex]

Reduce the fraction:

2 = x - 3

Rearrange variables to the left side of the equation:

-x = -3 - 2

Calculate:

-x = -5

Divide both sides with the coefficient of the variable:

x = 5

hope this helps!! p.s. i really need brainliest :)

Answer:

x = 5

Step-by-step explanation:

Slope formula

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\sf let\:(x_1,y_1)=(3,4)[/tex]

[tex]\sf let\:(x_2,y_2)=(x,6)[/tex]

[tex]\sf \implies slope=\dfrac{6-4}{x-3}=\dfrac{2}{x-3}[/tex]

As the slope equals 1:

[tex]\begin{aligned}\sf \implies \dfrac{2}{x-3} & =1\\\sf 2 & =\sf x-3\\ \sf 2+3 & =\sf x\\ \sf x & = \sf 5\end{aligned}[/tex]

Therefore, x = 5

Answer:

54

Step-by-step explanation:

1, 3, 5, and 7, all have the same angle size: 126 so we can use this to find 6 and 8 :)

180 - 126 =54

6 and 8 would both equal 54 :)

Have a great day!!

Please rate and mark brainliest!!

Answer:

66

Step-by-step explanation:

It's given that

Tn = 5n + 16

The 10th term is

T10 = 5(10) + 16

= 66

The 10th term of the sequence is 66.

In mathematics, a sequence is a list of numbers arranged in a specific order. Each number in the sequence is called a term. Sequences can be finite, meaning they have a specific number of terms, or they can be infinite, continuing indefinitely.

We have the rule: 5n + 16

Now, To find the 10th term of the sequence, we can substitute n = 10 into the given rule:

5n + 16 = 5(10) + 16 = 50 + 16 = 66

Therefore, the 10th term of the sequence is 66.

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Answer:

it would be 12.5

Step-by-step explanation:

brainly deleted my answer from before

Answer:

n + 18

Step-by-step explanation:

n + 18

Answer:

False

Step-by-step explanation:

Check if there is a right angle using the Pythagorean Theorem:

7.2^2 + 9.1^2 ≟ 12^2

134.65 ≠ 144,

so since there isn't a right angle, this is not a rectangle.

Answer:

151.7 cm^3

Step-by-step explanation:

3.7 x 10 x 4.1 = 151.7

BRAINLIEST? TY!!

Answer:

151.7 cm^3

Step-by-step explanation:

If you didn't know already the volume of a rectangular prism is

length x witdh x height.

Multiply 10x4.1 and you will get 41

Then multiply 41 by 3.7 to get 151.7.

Answer:

197

Step-by-step explanation:

to solve Hypotenuse:

a^2+b^2=c^2

Plug in:

28^2+195^2=c^2

Solve:

784+38025=c^2

38809=c^2

sqrt 38809=sqrt c^2

c=191

I hope it helps!!!

Answer:

Step-by-step explanation:

Step one is not correct. He got 12. He should have obtained 10 -2  = 8. You need to subtract 2 on the left to get rid of the 2 there. So you must subtract 2 on the right.

Answer: Step one contains the error.

Answer:

A. Step 1

Step-by-step explanation:

I did it on khan so its right

92.6% of 103.93km

Our output value is 103.93.

let's represent the unknown as x.

103.93=100%

Similarly, x=92.6%

103.93= 100% (1)

x= 92.6% (2)

By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of bothequations have the same unit (%); we get:

103.93/x = 100%/ 92.6%

the reciprocal of both sides gives:

x/ 103.92 = 92.6/100

= 96.23918

2 dp= 96.24

so 92.6% of 103.93km is 96.24 when rounded to 2 decimal place.

Answer:

96.24 km

Step-by-step explanation:

To Find :

Solving :

Answer:

B. 2x2 – 3x + 10 = 2x2 + 21

Step-by-step explanation:

2x2 – 3x + 10 = 2x2 + 21

Subtract 2x^2 from each side

2x2- 2x^2 – 3x + 10 = 2x2 + 21-2x^2

-3x+10 = 21

This is a linear equation and does not use the quadratic equation to solve

-

Answer: 400

Step-by-step explanation:

If 5% of a number is 80, just multiply that number by 5 to get 25 (5 x 5 = 25) and you will get 400.

Answer:

For #11 it is X≥-2.  For #12 it is X<-1 I think

Step-by-step explanation:

I hope this helps you and please mark me as brainliest

Answer:

The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.

Step-by-step explanation:

15² = 9² + 12²

225 = 81 + 144

225 = 225

so it is an right angled triangle....

( using : if the sum of the squares of the smaller two sides is equal to the square of the largest side, then the traingle is a right triangle.)

Answer:

9

Step-by-step explanation:

So you would make use of the rules of direct proportion. When A increases B would also increase vice versa, in this case, A would represent the number of days and B would represent the amount of Elf Bread consumed. Let's say that the unknown value would be D. If we place this into a table it would say:

[tex]\left[\begin{array}{ccc}Days&8&12\\Number of loaves&6&D\end{array}\right][/tex]

Next, you'll make use of the cross-multiplication rule.

So 8 X D = 12 X 6

8D = 72

You'll then divide each side by 8.

[tex]\frac{8D}{8}[/tex] = [tex]\frac{72}{8}[/tex]

D = 9

Sam would consume 9 loaves of day for a 12-day trip.

Hope that I've explained this well enough

Answer:

Step-by-step explanation:

According to the graph, the function h(x) is the translation of the function f(x) to the right and down.

Compare the coordinates of the vertices to write the formula

The formula is

Answer:

h(x) = f(x - 12) - 4

Step-by-step explanation:

The vertex is the turning point (stationary point or minima/maxima) of the graph.

To find the series of translations that transform the graph of y = f(x) onto y = h(x), compare the vertices of both graphs.

Vertices of given functions:

Differences

Therefore, y = f(x) has been:

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Therefore:

So the formula for h(x) in terms of f(x) is:

h(x) = f(x - 12) - 4

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Answer:

y=3x

Step-by-step explanation:

Okay first you need to solve this. Distribute the 3 first to the parantheses and you get y+3=3x+3. Than you subtract 3 and get y=3x. Now you start at 0,0 the origin and go 3 units up and 1 unit to the right. Continue that until a line shows.  Same with the bottom. Go down 3 left one.

Answer:

Formula for volume of cylinder;

V = π[tex]r^{2}[/tex]h

Where 'π' is pi(22/7 or 3.14), 'r' is the radius which is being squared, and 'h' represents the height.

Plug in your values given that;

8 in. = height

4 in. = radius

V = π[tex]r^{2}[/tex]h

V = 3.14(4^2) x 8

V = 3.14(16) x 8

V = 50.24 x 8

V = 401.92 cubic inches or [tex]401.92^{3}[/tex] inches is the volume.

Answer:

x = 2√7

using Pythagoras theorem:

For the bottom part:

Answer:

this is my answer

5.29

Step-by-step explanation:

Hope this helps

The complete table is,

3) Definition of parallelogram.

4) Alternate interior angle theorem.

5) Reflexive property of congruence.

6) By SAS congruency theorem.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

⇒ ABCD is a parallelogram.

Now, We have complete table is,

Statements                        Reasons

1) AD || BC                     Definition of parallelogram.

2) ∠ADB ≅ ∠CBD          Alternate interior angle theorem.  

3) AB || CD                    Definition of parallelogram.

4) ∠ABD ≅ ∠CDB         Alternate interior angle theorem.  

5) DB ≅ DB                  Reflexive property of congruence.

6) ΔABD ≅ ΔCDB         By SAS congruency theorem.

Thus, The complete table is,

3) Definition of parallelogram.

4) Alternate interior angle theorem.

5) Reflexive property of congruence.

6) By SAS congruency theorem.

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Answer:

See below ↓↓↓↓↓

Step-by-step explanation:

= 1 more than a number (a)

= q less than 9

= 3 times y added to 7

= a number (x) divided by 3 more than 9

= 3 times x added to 10

Answer:

I think the 1st one is the answer

Step-by-step explanation:

if it helpful to you give me a brainliest

Answer:

6/10 or 0.6 or 60% Hopefully this helps

Answer:

The fractions equivalent to 3/5 are 6/10, 9/15, 12/20, etc. Equivalent fractions have the same value in the reduced form. Explanation: Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number.

Step-by-step explanation:

Answer:

63 in 64 chance

Step-by-step explanation:

If you for one coin it would be a 50% chance so you multiply that [tex]\frac{1}{2}^{6}[/tex] which would be the probability of no heads 1/64 and at least 1 head you would [tex]1-\frac{1}{64}[/tex] which is [tex]\frac{63}{64}[/tex]. Ask me if you have any further questions