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Answer:

15.30 feet

Step-by-step explanation:

The ladder creates a right triangle with the wall and the ground. Because sine is the opposite divided the hypotenuse:

[tex]sin(73^{o}) = \frac{x}{16}[/tex] where x is the wall height that the ladder reaches.

Multiply both sides by 16 we get:

[tex]x = 16{sin(73^{o})}[/tex]

Using the calculator, we can get 15.30

The height up to which does the ladder reach will be equal to 15.30 feet

The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

The ladder creates a right triangle with the wall and the ground. Because sine is the opposite divided the hypotenuse:

[tex]\rm Sin 73=\dfrac{x}{16}[/tex]

where x is the wall height that the ladder reaches.

Multiply both sides by 16 we get:

[tex]x=16 Sin 73=15.30[/tex]

Using the calculator, we can get 15.30

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Answer:

Basic Cable Company A= 30x + 75

Basic Cable Company B= 40x

After 7.5 months, it's more economical to go with Company A. Before 7.5 months, Company B is cheaper

Step-by-step explanation:

Answer:

sadly, there is no indicated angle. you have to attach a photo/screenshot of your problem for anyone to help. There is limited information given from your question.

Step-by-step explanation:

Answer:

perpendicular bisector

Step-by-step explanation:

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

Explanation:

Unfortunately your teacher is a bit vague here, but I'm assuming that the roots listed in the table are the only roots (and there aren't any other roots possible). If other roots were possible, then we'd have infinitely many possible answers and it would greatly muddy up the problem.

So we'll just stick to the basic assumption that the only roots are: -2, 0, and 2.

With that key assumption in mind, let's look at the answer choices to see which are true and which are false.

From that list above, we see that choices B, D and E are true.

Answer:

x > 24

Step-by-step explanation:

- 1/2 x < -12

Multiply each side by -2, remembering to flip the inequality

-2 * -1/2x > -12 *-2

x > 24

Answer:

[tex]x > 24[/tex]

Step-by-step explanation:

[tex] - \frac{1}{2} x < - 12 \\ x < - 12 \times 2 \\ - x < - 24 \\ x > 24[/tex]

Answer:

This only has answer 1. these proofs are really long, so hard to fit them all in one answer.

Step-by-step explanation:

[tex]cos^2A+sin^2A=1\\[/tex] : Will be used very often so just remember this equality.

1. Multiply [tex](1+SinA)*\frac{CosA}{1-SinA} +\frac{CosA}{1+SinA} *(1-SinA)=2secA\\[/tex]

When we factor out the terms, we are left with:

We then use the rule above and convert it to [tex]cos^2A[/tex]:

Answer:

Step-by-step explanation:

Attached

Answer:

See below.

Step-by-step explanation:

Statements                                              Reasons

1. CD || AB                                                1. Given

2. <A is congr. to <ECD                          2. Corresponding <s of || lines

3. <B is congr. to <EDC                          3. Corresponding <s of || lines

4. Tr. EAB ~ Tr. ECD                               4. AA Similarity

Answer:

Step-by-step explanation:

Statement                         Reason

AB // CD                              Given

∠BAE ≅ ∠DCE                   Corresponding angles are congruent

∠ABE  ≅ ∠CDE                  Corresponding angles are congruent

ΔEAB ~ ΔECD                     A A Similarity

Answer:

p(x) = ( x +2) (3x - 1) ( x-3)

Step-by-step explanation:

We know the equation for a polynomial with given zeros is

f(x) = a(x-b1) (x-b2)...... where b are the zeros and a is a constant

Since the zeros are x = -2, x = 1/3, and x =3.

p(x) = a( x - -2) (x - 1/3) ( x-3)

p(x) = a( x +2) (x - 1/3) ( x-3)

We can pick the value of a since we are not given a point on the function.  Pick a=3

p(x) = 3( x +2) (x - 1/3) ( x-3)

Rewriting the second term

p(x) = ( x +2) (3x - 1) ( x-3)

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

See this attachment

Answer:

FOIL:  [tex]9x^2 +30xy + 25y^2[/tex]

(3x + 5y)(3x+5y)

F: 3x*3x

O: 3x*5y

I: 5y*3x

L: 5y*5y

[tex]9x^2 +30xy + 25y^2[/tex]

Step-by-step explanation:

Answer: 4 8×8= 64 half the base which is 8 =4

Step-by-step explanation:

Answer:

height = 8 m

base = 16 m

Step-by-step explanation:

Let base = 2x m

So, height = half its base = [tex]\frac{2x}{2} = x \ m[/tex]

Area = 64 m²

[tex]\frac{1}{2}* \ base* \ height = 64\\\\\\\frac{1}{2}* 2x * x = 64[/tex]

 x * x = 64

x * x = 8 * 8

x = 8 m

Base = 2x = 2*8 = 16 m

Answer:

The measure of an angle created by two intersecting chords is half the sum of the measure of the intercepted arc and the measure of the arc vertically opposite to the angle. In this case, I can write m∠CFB = 1/2(m∠CAB + m∠EAD)   because the measure of an intercepted arc is equal to the measure of its corresponding central angle.

Explanation:

sample answer from edmentum

Answer:

9/25

Step-by-step explanation:

Number of student who has cat , dog = 25 - 3 = 22

Number of students who has cat and dogs = (15 + 16) - 22

                                                                       = 31 - 22 = 9

Number of students who has only cats = 15 - 9 = 6

Number of students who has only dogs = 16 - 9 = 7

P(Cat & dog) = 9/25

Answer:

10:15:6

Step-by-step explanation:

let 3A=2B=5C

then,A=1/3,B=1/2,=1/5

therefore:A:B:C=1/3,1/2,1/5

10:15:6/30=10:15:6

Answer:

" because the coefficient of the x^2 term is less than 1 (between -1 and + 1)  

y = x^2 looks like a big U with the vertex (bottom) "kissing" the origin (0,0)

if you add 1 to the equation y = x^2 + 1 it shifts UP one  

if you subtract 3 y = x^2 -3 it shifts down three ....

if you change it to look like this y = (x+4)^2 it shifts (slides) to the LEFT 4 units..

note that this slide is opposite to the sign + 4 left slide , - 4 right slide...

NOW YOUR QUESTION !!!! if the coefficient is > 1  

y = 99 x^2 then the graph gets "skinny" goes up faster...

if it is less than one (between -1 past 0 to +1 ) then it flattens out

Bottom line here your coefficient is a "-1/2"  

so YOUR GRAPH IS A ∩ (goes downward) and is FLATTER than the normal ∪

I hope that this helps

Step-by-step explanation:

Answer:

I D K u tell me

Step-by-step explanation:

this is what u answersed another he/she question repeating u

Answer:

SHEEESSHHHHHHHHHH

Step-by-step explanation: life goes around and around

Answer:

3 to 12 reduced 1 to 4

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

833.3 ft^3

Step-by-step explanation:

The formula for the volume of a pyramid is:

V = (lwh)/3

V = volume

l = length of base

w = width of base

h = height of pyramid

Now we just correspond the values with the variables:

l = 12.5

w = 12.5

h = 16

And plug these values into the formula:

((12.5)(12.5)(16))/3

((156.25)(16))/3

2500/3

833.3 ft^3

Hope this helps (●'◡'●)

The solution is : the volume of a pyramid with a square base is 833.3 ft^3.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

we know that,

The formula for the volume of a pyramid is:

V = (lwh)/3

V = volume

l = length of base

w = width of base

h = height of pyramid

Now we just correspond the values with the variables:

l = 12.5

w = 12.5

h = 16

And plug these values into the formula:

=((12.5)(12.5)(16))/3

=((156.25)(16))/3

=2500/3

=833.3 ft^3

Hence, The solution is : the volume of a pyramid with a square base is 833.3 ft^3.

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Answer:

C

Step-by-step explanation:

C because it has sides unequal in length.

Answer: C

Step-by-step explanation:

Isosceles: 2 sides equal

Acute: angles are less than 90 degrees

Scalene: All side lengths are different

Equilateral: All sides are equal

Answer:

There are 3 Half minutes in 3/2 minutes

Step-by-step explanation:

We Start with two fractions

A : 1/2

B : 3/2

Since the denominator (The Second Number) is the same we don't need to change our fractions!

We can then just divide 3/2 by 1/2 to get our answer!

3/2 / 1/2 = 3

Answer:

JL = 16x-2

Step-by-step explanation:

From the diagram, we can see that;

JL = JK + KL

Thus;

JL = 9x-5 + 7x + 3

JL = 9x + 7x -5 + 3

JL = 16x -2

Answer:

Step-by-step explanation:

Angle is a defined term.

In geometry defined term, that have a formal definition and can be defined using other geometrical terms is called a defined term.

According to the given question

We have some terms

Angle, Line, Point and Plane

Now,

In geometry, we can define an angle using undefined term of a line. That is we define an angle as  the corners that are created when two non-parallel lines intersect each other, so angle is a defined term.

In Geometry, we define  a point as a location or size .

A line is defined as something that extends infinitely in either direction but has no width and is one dimensional.

While plane extends infinitely in two dimensions.

Hence, line, point and plane are undefined terms.

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Answer:

slope=1

point=(1,4)

Step-by-step explanation:

y-y1=(x-x1)m

From comparison

m=1

y1=4

x1=1

Answer:

The slope of the line is m = 1/2

A point on the line is (1,4)

Step-by-step explanation:

Got it right on Edge :)

Answer:

151,031

Step-by-step explanation:

If the population of a town is decreasing at 0.8% each year, the new population of the town will be [tex]100\%-0.8\%=99.2\%[/tex] of what it was last year. To find 99.2% of something, multiply it by 0.992. Therefore, we can write the following equation:

[tex]f(x)=157,220\cdot 0.992^x[/tex], where [tex]f(x)[/tex] is the population of the town [tex]x[/tex] years after the town had a population of 157,220.

Substitute [tex]x=5[/tex] into this equation to get the projected population after 5 years:

[tex]f(5)=157,220\cdot 0.992^5, \\f(5)=151031.019048,\\f(5)\approx \boxed{151,031}[/tex]

Therefore, in 5 years, the population should be 151,031.

Answer:

3.32 g

Step-by-step explanation:

1.10

2.22  

---------

3.32

(As both the numbers, have the same number of digits, you just need to add them like you do normal addition)

Answered by Guathmath