Pythagorean Theorem. Show your work.

[tex](\stackrel{a}{7}~~,~~\stackrel{b}{7})\qquad \impliedby \textit{let's find its \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{7^2+7^2}\implies c=\sqrt{7^2(1+1)}\implies c=\sqrt{7^2(2)}\implies c=7\sqrt{2} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=\cfrac{\stackrel{hypotenuse}{7\sqrt{2}}}{\underset{opposite}{7}}\implies csc(\theta )=\sqrt{2}[/tex]

the sum of all interior angles in a polygon, regular or not is

now, this is an octagon, with 8 sides, so it has a total of interior angles of 180( 8 - 2) or 180(6) = 1080.

we know the sum of all BUT one is 776°, so the last one must be 1080° - 776° = 304°.

Using relations in a right triangle, it is found that the height of the antenna is of 10 m.

The relations in a right triangle are given as follows:

In this problem, the vertical height from her eyes to the top of the antenna is the side opposite to the angle of 17º, while the adjacent side is the horizontal distance of 29 m, hence:

[tex]\tan{17^\circ} = \frac{h}{29}[/tex]

[tex]h = 29\tan{17^\circ}[/tex]

[tex]h = 8.87[/tex]

Adding the eye height:

h = 8.87 + 1.51 = 10.38 m.

Rounding to the nearest meter, the height of the antenna is of 10 m.

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

Answer:

9

Step-by-step explanation:

I just took the test.

★TSA=2(LB+BH+LH)

#1

TSA:-

#2

TSA:-

Total:-

Answer:

115

Step-by-step explanation:

41+24=65.

180-65=115

Answer:

100 m3

Step-by-step explanation:

2*5*10 = 10*10 *100

Answer:

There are most likely a few outliers, with the rest of the data close to the mean. The standard deviation is an indication of how "wide" the peak of the graph is. Since we have a very large range, that means that the values cover a very large range. But since the standard deviation is small, that means that most of the values are extremely close to the average (or mean) of the values. With that in mind, let's look at the options and see what fits. The distribution is very flat with a gradual increase in frequency as the numbers approach the mean. * This would have a rather large standard deviation since most of the values would be a fair distance from the mean. So this is a bad choice. There are most likely a few outliers, with the rest of the data close to the mean. * This is a very accurate description of the situation. So it's the correct choice. You can't really know anything about the distribution's shape without actually seeing it, or having more data. * This is a cop out and quite wrong. Therefore this is a bad choice. The distribution is essentially normal or bell shaped. * This is what is usually expected, but since we have a small standard deviation, the curve is more definitely NOT bell shaped. So this is a wrong choice...

Step-by-step explanation:

#caryonlearning correct me if im wrong

Answer:

area of entire circle = 84 in²

Explanation:

[tex]\sf \dfrac{\theta}{360} *\pi *r^2 = Area \ of \ sector[/tex]

===========

[tex]\sf \rightarrow \dfrac{60}{360} *\pi *r^2 = 14[/tex]

[tex]\sf \rightarrow \dfrac{1}{6}\pi *r^2 = 14[/tex]

[tex]\sf \rightarrow r^2 = \dfrac{14*6}{ \pi}[/tex]

[tex]\sf \rightarrow r = \sqrt{\dfrac{84}{ \pi} }[/tex]

[tex]\sf \rightarrow r = 5.17\ in[/tex]

Area of circle:

[tex]\sf \pi r^2[/tex]

=====

[tex]\hookrightarrow \sf \pi (5.17)^2[/tex]

[tex]\hookrightarrow \sf 84\ in^2[/tex]

Answer: 5

Step-by-step explanation:

Rosa is correct. The perimeter of a parallelogram can be determined by  adding the two sides and doubling the sum.

A  parallelogram is a quadrilateral (a four-sided object) that is made up of parallel sides. Theopposite sides and angles are congruent .

The perimeter of the parallelogram is the distance round the shape. It is the sum of the four sides.

To learn more about the perimeter, please check: https://brainly.com/question/3205029

We can classify triangles by their angles and their side lengths.

ANGLES:

---Acute = all angles in the triangle are less than 90 degrees

---Right = one angle in the triangle is equal to 90 degrees

---Obtuse = one angle in the triangle is greater than 90 degrees

SIDE LENGTHS:

---Equilateral = all side lengths of the triangle are the same

---Isosceles = two side lengths of the triangle are the same

---Scalene = no side lengths of the triangle are the same

In the given triangle, it has a right angle, which means that it must be a right triangle. Looking at the side lengths, none of them are the same (presumably), so it is also a scalene triangle.

Answer: right, scalene

Hope this helps!

Answer:

12,936

I hope this Answer your question

Answer: 15 ft

Step-by-step explanation:

You basically add all the sides:

3 + 3 + 3 + 3 +3 = 15 ft

And if you have to add 12 ft then the answer should be 27 ft in total.

I hope this helped!

Answer:

599>w

Step-by-step explanation:

Since the max was 599 we need to show that the weight or w has to be less than 599

Answer:

599 ≥ w

Step-by-step explanation:

The other person is wrong

It can hold 599 pounds, and anything less than that, so we use this symbol

Answer:

x = 46 :)

Step-by-step explanation:

First we subtract :)

180 - 88 = 92

Now we divide :)

92/2 = 46

Now you know how to solve this type of problem!!

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

6/11

Step-by-step explanation:

total number of coins = 11

number of blue coins = 6

p(blue) = 6/11

Answer:

heyy.

Step-by-step explanation:

The correct symbol in between numbers is,

⇒ 4/5 > 1/2

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The numbers are,

⇒ 4/5 and 1/2

Now, We can make denominator equal as;

LCM of 5, 2 = 10

Hence, We get;

⇒ 4/5

⇒ 8/10

⇒ 1/2

⇒ 5/10

Thus, We get;

⇒ 4/5 > 1/2

Therefore, The correct symbol in between numbers is,

⇒ 4/5 > 1/2

Learn more about the inequality visit:

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Answer:

8x+5

Step-by-step explanation:

8x + 8 + (-3) = 8x+8 - 3 = 8x + 5.

Hope this helps!

Also, please mark as brainliest!

Answer:

The answer is 8x+5

Step-by-step explanation:

1. Combine like terms so it will be 8 and -3

2. this will leave you with 8x+5 which you cannot do anything further.

Answer:

x=2/3

Step-by-step explanation:

25-(3x+5)=2(x+8)+x

25-3x-5=2x+16+x

20-3x=3x+16

20-3x-3x=16

20-6x=16

6x=20-16

6x=4x=4/6

simplify

x=2/3

Answer:

x=2/3

Step-by-step explanation:

Answer:

(3x+50)°=(6x-10)°

3x-6x= -10°-50°

-3x/-3 = -60/-3

x=20

Answer:

k = 2

Step-by-step explanation:

f(2) = 1
g(2) = 2

g(x) is double of f(x)

Answer:

The answer to the linear function is

y = 1/2x + 4

Answer:

The answer is 40^1/2

Step-by-step explanation:

The square root's value is - 1/2

so  √4 = 4^1/2

Answer:

94.2 cm³

Step-by-step explanation:

Volume of cone= ⅓πr²h

Let's identify the radius of the base and the height of the cone!

r= 3 cm

h= 10 cm

Next, substitute r= 3 and h= 10 into the volume of cone formula.

Volume of cone

= ⅓(3.14)(3²)(10)

= 94.2 cm³

Now this question is a candidate for the Pythagorean Theorem :

According to the question (assuming that you're x miles away from your house) --

[tex]\implies{7}^{2} + {24}^{2} = {x}^{2} \\\implies625 = {x}^{2} \\\implies x = \sqrt{625} \\ \boxed{x = 25} [/tex]

(Rejecting x= - 25 because distance cannot be negative(atleast hypothetically))

Answer:

A

Step-by-step explanation:

The answer is A because on a graph you have to move 5 units right on the x line and 7 units up on the y line. This means East for 5 miles then North for 7 miles.

Answer:

0.35

Explanation:

Follow the branch B and then branch D

Answer:

0.35

Step-by-step explanation:

To find the probability of a sequence of events, multiply along the branches representing those events.

Therefore, P(B and D) = 0.5 x 0.7 = 0.35

** refer to the attached diagram **

Answer:

1. 4/5 (0.8) | 2. 6/3 (2.0) | 2. -2/6 (0.3333...) | 4. 7/4 (1.75) |

Step-by-step explanation:

I wrote each in decimal form (if possible) and fraction form.

Brainliest please?

Answer:

B) 216.80

Step-by-step explanation:

hope this helps.

The value of n will be 63, we converted the word to mathematical expression then found n

When we see the word "of" in a mathematic expression, it simply means multiplication

Hence we have the mathematical expression for the word in our example as

2/3*n = 42

re-write

2n/3 = 42

cross multiplying we have

2n = 42*3

2n = 126

divide both side by 2 we have

n = 126/2

n = 63

Learn more about word problem here:

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