a stick is 25 feet long and is cut into 2 parts. The longer part id one foot more than twice the shorter part. How long is each part?

Answer:

14)

15)

Answer:

x = 180 - 30 - 41 - 67 = 42°

Answer:

101.76

Step-by-step explanation:

Answer:

18. h = 14.4

19. h = 4.23

20. h = 15.28

21. h = 11.46

All answers are rounded to two decimal places.

Step-by-step explanation:

18. To find the height if you know all 3 sides. Multiply sides a & b, and divide the product by c.

x = (a * b)/c

x = (18 * 24)/30

x = 432/30

x = 72/5

x = 14.4

19. We know that the entire length of the hypotenuse is 27. However, 24 is needed here. That's 8/9 of 27, so 80 degrees is one of the angles. So we need to find the hypotenuse first. That can be done like this: b/sin(β)

24/sin(80)

24/0.98480775

24/1 * 4000000/3939231

8/1 * 4000000/1313077

32000000/1313077

24.3702388

Now to find the first leg, which will be the height of the entire triangle.

x = √c² - b²

x = √24.3702388² - 24²

x = √593.908539 - 576

x = √17.908539

x = 4.23184818

x = 4.23

20. This one requires similar work to #19, but the hypotenuse of the smaller triangle is x.

20/sin(60)

20/0.8660254

20/1 * 5000000/4330127

100000000/4330127

23.0940109

√23.0940109² - 20²

√533.333339 - 400

√133.333339

11.5470056

î The answer above is leg 2 of the smaller triangle.

x = √10² + 133.333339

x = √100 + 133.333339

x = √233.33339

x = 15.2752525

x = 15.28

21. There is no need to figure out what the height is. The entire triangle is 45-45-90.

x = (√18² + 18²) - 15

x = (√324 + 324) - 15

x = (√648) - 15

x = 25.46 - 15

x = 11.46

Answer:

y = csc(x) + 2

Step-by-step explanation:

The equation for the given graph is y = csc(x) + 2

'In graph theory, Graph equations are equations in which the unknowns are graphs. One of the central questions of graph theory concerns the notion of isomorphism. The graphs are expressed differently in terms of graph equations.'

According to the given problem,

We know, periodicity of a.csc( bx + c ) + d = [tex]\frac{periodicity of cscx}{[b]}[/tex]

The periodicity of csc(x) is 2π,

                                                                       ⇒ [tex]\frac{2\pi }{1}[/tex]

                                                                       = 2π

Hence, we can conclude, the equation y = csc(x) + 2 represents the given graph.

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Answer: 2,678,400

Step-by-step explanation:

There are 31 days in January and 2,678,400 seconds

Answer:

[tex]x = 26[/tex]

Step-by-step explanation:

Given

The above triangles

Required

Find x

The two triangles are similar. So we make use of the following equivalent ratios, to solve for x

[tex]XZ : ZY = JL : LK[/tex]

Replace each side with their measurements

[tex]13 : 10 = x : 20[/tex]

Express as fraction

[tex]\frac{13}{10} = \frac{x}{20}[/tex]

Solve for x

[tex]x = \frac{13}{10} * 20[/tex]

[tex]x = 1.3 * 20[/tex]

[tex]x = 26[/tex]

Answer:

4=4

5=9

Step-by-step explanation:

Answer:

A.

[tex]4x {}^{2} + \frac{3}{2} x - 7[/tex]

Step-by-step explanation:

Add theses functions

[tex] \frac{x}{2} - 3 + 4 {x}^{2} + x - 4 \\ 4 {x}^{2} + \frac{3}{2} x - 7[/tex]

Answer:

Step-by-step explanation:

x²-16x+60

=x²-6x-10x+60

=x(x-6)-10(x-6)

=(x-6)(x-10)

so dimensions are x-6 and x-10.

Answer:

3000 pounds :)

hope this helped<3

Answer:

5.2

Step-by-step explanation:

radius is half the diameter

Answer:

5.2in

Step-by-step explanation:

Answer:

<1 = 73

Step-by-step explanation:

All triangle interior angles add up to 180 so:

<1 + 55 + 52 = 180

<1 + 107 = 180

<1 = 180 - 107

<1 = 73

Answer:

4

Step-by-step explanation:

Answer:

yes to get this answer u need to use ur brain

take 2 and 2

then see how many are there in all so it's 4

So u should mark me as brainlist

Answer:

It is (a)

[tex]g(x) = ( { \frac{1}{4} x})^{2} [/tex]

Step-by-step explanation:

I hope that is useful for you :)

None of the given options are correct.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

The point (4,1) is on the graph of the function f(x) = x^2. That means f(4) = 1.

We want to find the equation of a new function g(x) that satisfies the condition g(4) = 1.

One possible equation for g(x) that meets this condition is:

g(x) = a(x - 4)² + 1

where a is some constant that we need to determine.

Since the graph of g(x) is a parabola, we know that it has the form y = ax^2 + bx + c. We can use the point (4,1) to find a:

g(4) = a(4 - 4)² + 1 = 1

Simplifying this equation, we get:

a = 0

Therefore, the equation for g(x) is:

g(x) = 1

So the correct answer is (none of the above), because none of the given choices matches this result.

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Answer:

Step-by-step explanation:

5 number summery

Minimum: 56

Maximum: 68

Median: 62

First quartile: 59

Third quartile: 63

W is 90

Full equation

90+ 2x +3x =180

5x = 180-90

5x = 90

X= 90/5

X= 18

T = 3 (18)

T= 54

V=2(18)

=36

Answer:

he would have a 2/5 chance because he misses or hit three so he would either miss two or hit two according to the chart

Step-by-step explanation:

sry if I'm wrong but it would be one of the most valid answers

Answer:

3/10

Step-by-step explanation:

#2, 7 and 8 are the valid 3 goal trials out of 10

Answer:

M

Step-by-step explanation:

Answer:

Point M

Step-by-step explanation:

Each line represents 0.05 so M would best represent 1/3

Answer:

69.08

Step-by-step explanation:

2×3.14=6.28

6.28×11=69.08

Answer:

D

Step-by-step explanation:

Root square of 3 is 1.732, the root square of Pi is 1.77, the root square of 8 is 2.82 and the estimated value of Pi itself is 3.14.

Answer:

D should be the right answer

Answer:

C. IS THE CORRECT ANSWER

Step-by-step explanation:

Answer:

1) AM, MY, AY

2) GY, GQ, QY

3) QM, QG, MG

4) YX, YG, XG

Step-by-step explanation:

In triangles, the shortest side is always the side that is directly across from the smallest angle while the longest side is always the side that is directly across from the largest angle.

Using this concept, we can answer the questions;

1) Largest side = AM

Smallest side = AY

Arranging from largest to smallest side;

AM, MY, AY

2) Largest side = GY

Shortest side = QY

Arranging from largest to smallest side;

GY, GQ, QY

3) Largest side = QM

Shortest side = MG

Arranging from largest to smallest side;

QM, QG, MG

4) Largest side = YX

Smallest side = XG

Arranging from largest to smallest side;

YX, YG, XG

Answer:

because all sides are equal

The expression is a perfect square of (x+10)².

A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.

For example, 25 is a perfect square because it is the product of integer 5 by itself, 5 × 5 = 25.

Given that the expression, x² + 20x + 100,

So, writing the expression as expanded form,

x·x + 2·10·x + 10·10

x² + 2·10·x + 10²

We see it is in the form of a² + 2ab + b²,

We know that, a² + 2ab + b² = (a+b)²

So,

x² + 2·10·x + 10² = (x+10)²

Hence the expression is a perfect square of (x+10)².

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Answer:

The answer is B.

Step-by-step explanation:

7x4 is 28 which means you have to multiply 3x4. That gives you 12. 28:12 is the proper ratio. (Hope this helped!)

Answer:

b.28/12

Step-by-step explanation:

Answer:

-0.375

Step-by-step explanation:

just convert the expression to get -0.375

hope  this helps