12) A radio transmission tower is 170 feet tall. How long should a guy wire be if it is to be attached 15 feet from the top and is to make an angle of 30° with the ground? Give your answer to the nearest tenth of a foot.

13) A building 230 feet tall casts a 100 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between the end of the shadow and the vertical side of the building (to the nearest degree)? (Assume the person's eyes are level with the top of the building.)

Answer:

32294643

Step-by-step explanation:

You can first set up a proportion.

22.4/100 = 7234000/x

723400000 = 22.4x

x = 32294642.8571 ≈ 32294643

I hope this is correct and that it helps!

Answer: 1/5

Step-by-step explanation:

Answer:

-1.05

Step-by-step explanation:

Answer:

B. 12 days

Step-by-step explanation:

This can be set up as an equation:
64x = 768, where x represents the days it will take to achieve 768 doughnuts.

Divide both sides by 64.

x = 12.

It will take 12 days to make an additional 768 doughnuts.

Answer:

Step-by-step explanation:

Use the slope formula.

[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

Use the distance formula.

[tex]: \Longrightarrow \sf{\sqrt{\left(X_2-X_1\right)^2+\left(Y_2-Y_1\right)^2}}[/tex]

[tex]\sf{x_2=8}\\\\\\\sf{x_1=3}\\\\\\\sf{y_2=2}\\\\\\\sf{y_1=2}[/tex]

Rewrite the problem down.

[tex]\sf{\sqrt{\left(8-3\right)^2+\left(2-2\right)^2}}[/tex]

Solve.

Use the order of operations.

PEMDAS stands for:

Solve parentheses, first.

⇒ (8-3)²

⇒ 8-3=5

⇒ 5²+(2-2)²

⇒ (2-2)=0

⇒ 0²

Rewrite the problem down.

⇒ 5²+0²

Do exponents next.

⇒ 5²=5*5=25

⇒ 0²=0*0=0

⇒ 25+0

Add.

⇒ 25+0=25

You can also divide the numbers from left to right.

→ 25/5=5

I hope this helps. Let me know if you have any questions.

Answer:

28.4

Step-by-step explanation:

10.5x2= 21

3.7x2= 7.4

21+7.4 = 28.4

Answer:

$10

Step-by-step explanation:

4 x 5 = 20

But then we need to subtract the $10 the tattoos cost.

So the amount of money they made was $10.

Hope this helps!

Answer:

$20

Step-by-step explanation:

$4 × 5 = $20

basically just multiply 4 by 5

Answer:

D

Step-by-step explanation:

This is because of the slope and amount of earnings Tatiana has.

Tatiana gets 26 dollars added to her earnings every 2 hours

Sample: 16 + 26 = 42

The 16 represents the number of earnings that Tatiana gets/earns for hour 0.

If we were to graph the earnings of Tatiana meaning her time represents X and the earnings represent Y. We could clearly see that Tatiana earns more money than Darryl.  

Answer:

After 25 minutes

Step-by-step explanation:

The answer is C

Answer:

Step-by-step explanation:

Louise: Water = 4.6 + 1.2*t gallons of water

Isaac: Water = 54.6 - 0.8 * t t is in minutes.

When will the two amounts of water be equal

When the two waters are the same.

4.6 + 1.2*t = 54.6 - 0.8t           Add 0.8t to both sides

4.6 + 1.2*t + 0.8*t = 54.6         Combine the left

4.6 + 2t = 54.6                        Subtract 4.6 from both sides.

4.6-4.6 + 2t = 54.6 - 4.6         Combine

2t = 50                                    Divide by 2

t = 50/2

t = 25

Answer: both aquariums will have the same amount of water in 25 min

Answer: C  

Answer:

My reasoning for saying both is because the shape is a unique plane. Bilateral symmetry is the term used for when a unqiue shape is folded in any direction and looks the same, while rotational symmetry is when a shape looks the same after a rotated half-turn.

Trick: Fold the shape by the bottom diagonal left side, folding the top left end, then do a rotational turn on the top right corner, fold in the bottom, and it shapes like a rectangle.

Answer:

2

Add negative 4 to positive 6, which is 4 - 6 but backwards, and that gives you 2

Or subtract 0 by 4, then add 2 which is -4 because you are subtracting 4 by 0 instead of 0 by 4, which would be four.

[tex]way~1\\4 - 6 = 2\\\\way~2\\(0 - 4) + 6 = 2[/tex]

Answer: the answer is 1 over 2 which is e

Step-by-step explanation: 4 and 2 and 3 equal 9 so 1 over 6 times 9 cubes equal 1.5 which is 1 over 2

Answer:

3/6+2/6 or 1/6+1/6+1/6+1/6+1/6

Step-by-step explanation:

when you decompose a fraction ask yourself "what will add up to the numerator of the fraction?" when decomposing keep denominator the same.

3+2=5. answer 5/6

Answer:

Both ends point down

Step-by-step explanation:

SInce this function is even, and the leading coefficient is negative, both ends will point in the negative direction.

Answer:

A. 0.11111

B. 17/100

C.0.232323

D. 6/9 or 2/3

E. 1.8888889

F. 4/11

G. 1.45454545

H. 3/100

Step-by-step explanation:

Convert them to fractions and decimals

Answer:

[tex]\left(1 - \sin^{2}(x)\right)^{2}[/tex].

Step-by-step explanation:

Notice that "[tex]1[/tex]" is equal to "[tex]1^{2}[/tex]" whereas [tex]\sin^{4}(x) = {\left(\sin^{2}(x)\right)}^{2}[/tex]. Therefore:

[tex]\begin{aligned} & 1 - 2\, \sin^{2}(x) + \sin^{4}(x) \\ =\; & 1^{2} - 2\, \sin^{2}(x) + {\left(\sin^{2}(x)\right)}^{2}\end{aligned}[/tex].

Make use of the identity [tex](a - b)^{2} = a^{2} - 2\, a\, b + b^{2}[/tex]. In this case, set [tex]a = 1[/tex] whereas [tex]b = \sin^{2}(x)[/tex]. Therefore:

[tex]\begin{aligned} & 1^{2} - 2\, \sin^{2}(x) + {\left(\sin^{2}(x)\right)}^{2} \\ =\; & a^{2} - 2\, a\, b + b^{2} \\ =\; & (a - b)^{2} \\ =\; & {\left(1 - \sin^{2}(x)\right)}^{2}\end{aligned}[/tex].

Answer:

4

Step-by-step explanation:

Answer:

90% of 4 = 3.6 I believe that this is the answer

Answer:

[tex](x+5)^2+(y-2)^2=36[/tex]

Step-by-step explanation:

The equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center and [tex]r[/tex] is the radius, thus:

[tex](x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-2)^2=6^2\\(x+5)^2+(y-2)^2=36[/tex]

This means that our equation for the given circle is [tex](x+5)^2+(y-2)^2=36[/tex]

Answer:

The answer should be 2

Step-by-step explanation:

P

r

=

n

!

(

n

−

r

)

!Subtract

1

from

2

.Simplify

2

!

(

1

)

!

.

Answer:

(8,6)

Step-by-step explanation:

Refer to the graph below

Answer:

9

Step-by-step explanation:

You're looking for the percentage that "did not complete the marathon" So take the 25 that gave up and the 3 that were disqualified and add those. Then divide 260 by your sum of those groups. Your expresssion should be 260/28 which gives you the decimal 9.28571429. Your answer would be 9 because this question doesn't ask for a decimal answer.

Answer:

38.7126

step-by-step explanantion:

so it's technically 33 percent off because the taxes is 7 percent.

and 33 percent of 57.78 is 19.0674. so 57.78-19.0674 will equal 38.7126

The original cost of the bathing suit without tax or the discount is $38.72.

The term "discount" refers to a pricing scheme in which a commodity's (goods or services) price is lower than its marked price. Simply said, a discount is a proportion of the advertised price.

The bathing suit is 40%off including 7% tax.This means that the discount of 40% includes the tax of 7%.Thus the discount without tax will be calculated by: 40%-7%=33%

Now we will calculate the discount without tax on the final cost of the bathing suit, i.e, 33% of the final cost.

[tex]\frac{33}{100} \times 57.78=19.06[/tex]

So, we get a discount of $19.06 on the final cost.Then the original cost of the bathing suit without the tax or the discount will be the final cost less than the discount: $57.78-$19.06=$38.72

So, the original cost of the bathing suit without tax or the discount is $38.72.

Learn more about discount here- brainly.com/question/843074

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Answer:

2a+2b=360

2(60)+2b=360

120+2b=360

2b=360-120

2b/2=240/2 divide by 2

b=120

step 2

2a+2b=360

2(60)+2(120)=360

120+240=360

360=360

2a+2b=360

2(75)+2b= 360

150+2b=360

2b=360-150

2b/2=210/2

b=105

step 2

2a+2b=360

2(75)+2(105)=360

150+210=360

360=360

Answer:

13

Step-by-step explanation:

First, to find out how many book fit on one shelf, you will need to divide the total number of books by the toal number of shelves:

36 books / 3 shelves = 12 books/shelf

Because the question says that the bookstore order another 120 copies, this is means that the 120 books is in addition to the original 36 books.

Because we already know that the 36 books require 3 shelves, we still need to find how many shelves 120 books needs. So, we can divide books by number of how many books can fit on a shelf:

120 books / 12 books per shelf = 10 shelves

So to find the total number of shelves needed, add the number of shelves together:

3 + 10 = 13 shelves

Answer:

2x^2 + 3x - 7   (a= 2 , b= 3 , c= -7)

discriminant= b^2 - 4ac

                   = (3)^2 - 4(2)(-7)

                   = 9 + 56 = 65

The answer is D. 65

Hope this helps :)

Answer:

a = 7, b = 9, c = 4

Step-by-step explanation:

Hope it helps you in your learning process.

[tex]7^{\frac{9}{4}}= \sqrt[4]7^{9}\implies\sqrt[c]a^{b}[/tex]

On comparing, we find:

a = 7, b = 9, c = 4

Answer:

[tex] \sf \: a = 7,\: b = 9,\: c = 4[/tex]

Step-by-step explanation:

[tex] {7}^{\frac{9}{4}} [/tex] we have to write in the form [tex] \sf \: {}^{c} \sqrt{ {a}^{b} } [/tex]

[tex] {a}^{ \frac{1}{b} } = {}^{b} \sqrt{a} [/tex]

[tex] {a}^{b} = {a}^{b}[/tex]

from there we can write.

[tex] {7}^{3 \times \frac{1}{4} } = {}^{4} \sqrt{ {7}^{9} } [/tex]

Comparing with [tex] \sf \: {}^{c} \sqrt{ {a}^{b} } [/tex]

c = 4 , b = 9, a = 7

Answer:

The scale factor is 5

Step-by-step explanation:

To find the scale factor, we divide 17 by 3.4 to find how much it was enlarged by.

17/3.4 = 5

We do this becuase when finding the scale factor, we take the dilated shape/side length and divide it by the original shape/side length.

Answer:

perimeter is 36

Step-by-step explanation:

if x=3

then it turns into

Width 7-2(3)

length 5(3)+2

which equals

width 1

length 17

since it's a perimeter you add all four corners

which is 1+1+17+17=36

Answer:

can u add a picture cause i dont understand what ur saying at all

Step-by-step explanation: