On a sunny day, a building and its shadow form the sides of a right triangle. If the hypotenuse is 34 m long and the shadow is 24 m, how tall is the building

Answers

Answer 1

Answer:

Step-by-step explanation:

h=√[34²-24²]=√[(34-24)(34+24)]=√[10×58]=√(5×29)=√145 ≈12 m

Answer 2

The height of the building is 10 meters.

What is the Pythagorean theorem?

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Let's call the height of the building "h".

We can use the Pythagorean theorem to relate the height, shadow, and hypotenuse of the right triangle:

h² + 24² = 34²

Simplifying and solving for h.

h² = 34² - 24²

h² = 676 - 576

h² = 100

h = 10

Therefore,

The height of the building is 10 meters.

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Related Questions

Which of the relations given by the following sets of ordered pairs is a function?

Select one:

a.
{(2,4),(2,6),(2,8),(2,10),(2,12)}


b.
{(−5,−4),(−4,−3),(−3,−2),(−4,−5),(−2,−1)}


c.
{(0,3),(−6,8),(−3,5),(0,−3),(7,11)}


d.
{(8,1),(−4,1),(3,5),(0,4),(−1,2)}

Answers

Answer:

d.{(8,1),(−4,1),(3,5),(0,4),(−1,2)} - function

Step-by-step explanation:

a.{(2,4),(2,6),(2,8),(2,10),(2,12)}

Each value of x goes to more than one value of y- this is not a function

b. {(−5,−4),(−4,−3),(−3,−2),(−4,−5),(−2,−1)}

The value of x at -4 goes to more than one value of y- this is not a function

c.{(0,3),(−6,8),(−3,5),(0,−3),(7,11)}

The value of x at 0 goes to more than one value of y- this is not a function

d.{(8,1),(−4,1),(3,5),(0,4),(−1,2)}

 Each value of x goes to only one value of y- this is a function

13. Classify the following number. (Select all that apply) *
-10
Natural
Whole
Integer
Rational
Irrational

Answers

Answer:

-natural

-whole

-integer

-rational

Brainliest is very much appreciated! :)

Enter the repeating digit.

Answers

Answer:

Does the answer help you?

Answer:

6

Step-by-step explanation:

Dividing 2 by 3 gives you a repeating decimal of 0.6666...

is 1+isqrt3 a complex number

Answers

Answer:

Step-by-step explanation:

Yes, due to the presence of that operator " i "

Someone help pleasee

Answers

Answer:

-80

Step-by-step explanation:

We can write the quadratic as

ax^2 + bx+c

4x^2 +8x+9

a=4  b = 8  c=9

The discriminant is

b^2 -4ac

8^2 - 4(4)(9)

64 - 144

-80

Answer:

-80

Step-by-step explanation:

The discriminant is the value under the radical in the quadratic formula. The part of the quadratic formula that is under the radical is [tex]\sqrt{b^2-4ac}[/tex]. So, plug in the needed values and solve for what is under the radical. The b-value is 8; this squared is 64. Then, plug in a and c, 4 and 9. Then multiply these by 4, 4*4*9=144. Finally subtract, 64-144=-80.

Pleaseeeee help!!!!!!!!

Answers

Answer:

30

Step-by-step explanation:

The total number of people is

5+6+4+7+5+3 = 30 people

Answer:

30

Step-by-step explanation:

pizza:5+7=12

Burger:6+5=11

Other:4+3=7

Total:12+11+7=30

Determine the value of x.​

Answers

Answer:

x = 4.59

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 74 = 16/ x

x tan 74 = 16

x = 16/ tan 74

x=4.58792

[tex]\huge\text{Hey there!}[/tex]

[tex]\boxed{\boxed{\huge\text{Formula: \boxed{\text{tan } \theta = \mathsf{\dfrac{Opposite}{Adjacent}}}}}}[/tex]

[tex]\boxed{\huge\text{\boxed{\mathsf{\bold{tan\ 74} = \dfrac{16}{x}}}}}[/tex]

[tex]\boxed{\boxed{\huge\textsf{x tan 74 equals \bf 16}}}[/tex]

[tex]\boxed{\huge\text{x = }\boxed{\mathsf{\dfrac{16}{tan \ 74}}}}[/tex]

[tex]\boxed{\boxed{\huge\text{x = \bf x=4.58792}}}\boxed{\boxed{\huge\text{\bf (ORIGINALLY)}}}[/tex]

[tex]\boxed{\boxed{\huge\text{x = \boxed{\bf 4.58792\ or \ 4.58 \ is \approx \underline{\underline{4.59}}}}}}\huge\checkmark[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \boxed{\textsf{Option C. \bf 4.59}}}}}\huge\checkmark[/tex]

[tex]\huge\text{\huge\text{Good luck on your assignment \& enjoy your day!}}[/tex]

~[tex]\boxed{\huge\text{\boxed{\frak{Amphitrite1040:)}}}}[/tex]

plz help asap i have limited time i will give brainliest

Answers

Answer:

358

Step-by-step explanation:

In 1995, the boys were 50 %

Take the number of people at the convention in 1995 ( 716)

and multiply by 50%

716 * 50%

716 * .50

358

Answer:

b. 358

Step-by-step explanation:

First, find what percentage of attendees were boys in 1995:

By reading the graph, we can see 50% were boys.

In the table, we can see that there were 716 attendees in 1995.

To find how many boys attended in 1995, find 50% of 716.

716(0.5) = 358

3
4
x
+
6
=
1
+
1
3
x

Answers

Answer:

[tex]\boxed{x = -5/21}[/tex]

Step-by-step explanation:

Hey there!

To simplify we need to combine like terms and use the communicative property,

34x + 6 = 1 + 13x

-13x to both sides

21x + 6 = 1

-6 to both sides

21x = -5

Divide both sides by 21

x = -5/21

Hope this helps :)

Answer: I'm guessing you need me to solve this for you.

I interpreted the equation this way: 34x + 6 = 1 + 13x

The solution is -5/21.

Step-by-step explanation:

34x + 6 = 1 + 13x

Step 1: Simplify both sides of the equation.

34x + 6 = 13x + 1

Step 2: Subtract 13x from both sides.

34x + 6 − 13x = 13x + 1 − 13x

21x + 6 = 1

Step 3: Subtract 6 from both sides.

21x + 6 − 6 = 1 − 6

21x = − 5

Step 4: Divide both sides by 21.

21x/21 = -5/21

x = -5/21

Hope this helped you!

Anyone ?? Know the answers to these both? Due tmr morning

Answers

Answer:

Just use m a t h w a y for the answer

Step-by-step explanation:

Thank me later,or dont thank me at all

The number of dollars in Teo's bank
account on Tuesday was 3 times as
much as the amount on Friday. How
many dollars were in the account on
Friday?

Answers

Answer:

y = $ x/3

Step-by-step explanation:

Let the amount of dollars in Teo's bank on Tuesday be $x and the amount in his bank on Friday be $y.

If the number of dollars in Teo's bank  account on Tuesday was 3 times as

much as the amount on Friday, this can be represented mathematically as;

x = 3y where y is the amount in his bank on Friday.

The amount of dollars in his account on friday will be gotten by dividing both sides of the equation by 3

3y = x

3y/3 = x/3

y = x/3

Hence the amount of dollars in his account on Friday is y = $ x/3

n/2-3n/4+5n/6=21 please tell the answer​

Answers

Answer:

n= 36

Step-by-step explanation:

36/2-3 x 36/4+5 x 36/6=21

please give me brainliest if i got this right

Answer:

n=36

Step-by-step explanation:

By simplifying both sides of the equation, then isolating the variable.

n=36

I did this quickly so sorry if it's no help

factorize, x(x +2)3x+6​

Answers

x(x+2)+3x+6

x^2+2x+3x+6

x (x+2)+3(x+2)

(x+3) (x+2)

x^2+x-6 is correct.
Step-by-step explanation:
find two number if you multiply it becomes (-6) and if you sum them it becomes (+x)

Find the value of z. A. 141 B. 110 C. 80 D. 100

Answers

Answer:

B. 110

Step-by-step explanation:

z is supplemental to 70°, so the add up to 180°

z+70°=180°

z=180°-70°

z=110°

Option B is correct. The required value of z is 110 degrees

Supplementary angles are angles summing up to 180 degrees. According to the circle geometry, we can see that z and 70 degrees lie on the same line, this shows that both angles are supplementary.

Since supplementary angles sum up to 180degrees, hence;

[tex]z + 70 = 180\\[/tex]

Subtract 70 from both sides

[tex]z+70-70=180-70\\z=110^0[/tex]

Hence the value of z is 70 degrees

Learn more here: https://brainly.com/question/22261921

Write in point-slope form an equation of the line that passes through the point (8, 9) with slope 7.

Answers

Answer:

y=7x-47

Step-by-step explanation:

[tex](8,9)=(x1,y1) \\ m=7 \\ y−y1=m(x−x1) \\ y−9=7(x−8)

[/tex]

[tex]y - 9 = 7x - 56 \\ y = 7x - 56 + 9 \\ y = 7x - 47[/tex]

PLS HELP I WILL GIVE YOU A BRAINLIST AND A THANK YOU!!!!

Answers

Answer:

75

Step-by-step explanation:

We have a 90 degree angle and a 15 degree angle that add up to 105. The angle that is missing can be found by doing 180 - 105 = 75 (since it's a straight line). X is vertical from the 75 degree angle, so 75 is your answer.

Answer:

x= 75°

Step-by-step explanation:

i have added a sketch of it

Consider the equation: 12x=13-x^212x=13−x 2 12, x, equals, 13, minus, x, squared 1) Rewrite the equation by completing the square. Your equation should look like (x+c)^2=d(x+c) 2 =dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or (x-c)^2=d(x−c) 2 =dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d. 2) What are the solutions to the equation

Answers

Answer:

[tex](x + 6)^2 = 49[/tex]

[tex]x = 1[/tex]    or [tex]x = -13[/tex]

Step-by-step explanation:

Given

[tex]12x = 13 - x^2[/tex]

Using Completing the Square

[tex]12x = 13 - x^2[/tex] ---- Add [tex]x^2[/tex] to both sides

[tex]x^2 + 12x = 13 - x^2 + x^2[/tex]

[tex]x^2 + 12x = 13[/tex]

Divide the coefficient of x by 2; then add the square to both sides

[tex]x^2 + 12x + 6^2 = 13 + 6^2[/tex]

[tex]x^2 + 12x + 36 = 13 + 36[/tex]

[tex]x^2 + 12x + 36 = 49[/tex]

Factorize

[tex]x^2 + 6x + 6x + 36 = 49[/tex]

[tex]x(x + 6) + 6(x + 6) = 49[/tex]

[tex](x + 6)(x + 6) = 49[/tex]

[tex](x + 6)^2 = 49[/tex]

Hence, the equation is [tex](x + 6)^2 = 49[/tex]

Solving further

Take square root of both sides

[tex](x + 6) = \sqrt{49}[/tex]

[tex]x + 6 = \±7[/tex]

[tex]x = \±7- 6[/tex]

This implies that

[tex]x = 7 - 6[/tex]     or [tex]x = -7 -6[/tex]

[tex]x = 1[/tex]    or [tex]x = -13[/tex]

HEnce, the solutions are [tex]x = 1[/tex]    or [tex]x = -13[/tex]

Answer:

(x+6)^2=49 and  x=−6±7

Step-by-step explanation:

if R=[2 3 4] what is the number of element in
2 4 5
the matrix R?​

Answers

Answer:

5

Step-by-step explanation:

May be correct than follow me please

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Outliers can cause the _________ to be misleading when summarizing a data set.
A. mean
B. interquartile range
C. all of these
D. median

Answers

Answer:

A. Mean

Step-by-step explanation:

Mean, because it's the average of the numbers and if one number's way off, it would throw the average off by a lot! I honestly forgot a bit about interquartile ranges, but it doesn't affect the median at all/have a very little effect so that's why it's not all of these. But mean is for sure!

I hope this helped! :D

A. Mean
Since the mean is the average of the set, by adding a larger or smaller number to the it set will throw off the data making it misleading.

How would you write 7 is subtracted from the cube of a number

Answers

Answer:

n³ - 7

Step-by-step explanation:

n³ - 7

The required expression for the 7 subtracted from the cube of a number is x³- 7.

Given that,
A string of statements is given,
Here, we have to transform the statement, 7 is subtracted from the cube of a number into a mathematical inscription.

What is arithmetic?

Arithmetic, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

What is an expression?

A mathmetical expression is formulated structure of a statement using variables.

Let the number be x,
Now 7 subtracted from the cube of number x
= x³ - 7

Thus, the required expression for the 7 subtracted from the cube of a number is x³- 7.

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Someone please help me ASAP

Answers

Answer:

the percentage share for BBC2 remained almost the same at about 11 % each year

if you look at the chart the BBC2 almost remains stable between 10 and 12 %

1980 ( between 39 and 51)

1985 ( between 37 and 49 ) and so on

( these numbers are not exactly the same , it is about or approximately)

If the functions f(x) and g(x) are
increasing on an interval, is the
interval? how about f(x) – g(x)?

Answers

Answer:

The difference will be increasing too

Step-by-step explanation:

If f(x) and g(x) is increasing in nature then

f(b) < f(a) and g(b) < g(a) for any a and b in the interval.

Subtracting these 2 equations, we get

f(b) - g(b) < f(a) - g(a) for any a and b in the interval.

Which means f-g is increasing in the interval (a, b) but as a and b were random real numbers we took, f(x) - g(x) will be increasing for an interval

Sandra spotted the sailboat from the shore and measured the angle from the waterline to the top of the boats mast to be 7° if the top of the mask is 23 feet above the water how far is the middle of the sailboat from the shore? Estimate your answer to the nearest tenth.

Answers

Answer:

The middle of the sailboat is approximately 268.8 feet from the shore.

Step-by-step explanation:

Let the distance from shore to the middle of the boat be represented by x, the angle of elevation of Sandra from the shore to the top of the boat mast  is 7°. Applying the required trigonometric function to this question, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan 7° = [tex]\frac{23}{x}[/tex]

⇒  x = [tex]\frac{23}{Tan 7^{0} }[/tex]

       = [tex]\frac{23}{0.12279}[/tex]

      = 268.7515

∴ x = 268.8 feet

The middle of the sailboat is approximately 268.8 feet from the shore.

A certain composite number has 4 factors and the sum of them is 96. Find the number(hint the number is divisible by 7). Just don't give me the answer by guessing. show me how you arrived at the solution elaborately i.e. show me your working in detail

Answers

Answer:

[tex]\huge\boxed{77}[/tex]

Step-by-step explanation:

The number can be divisible by 7.

The multiples of 7 are 7,14,21,28,35,42,49,56,63,70,77,84 and so on

Finding the factors for all of the multiples of 7:

7 => 1,7   [Not 4 factors]

14 => 1,2,7,14    [4 factors but Sum = 24]

21 => 1,3,7,21   [4 factors but Sum = 32]

28 => 1, 2, 4, 7, 14, 28    [Not 4]

35 => 1,5,7,35   [4 factors but Sum = 48]

42 => 1, 2, 3, 6, 7, 14, 21, 42     [Not 4]

49 => 1,7,49   [Not 4]

56 => 1, 2, 4, 7, 8, 14, 28, 56       [Not 4]

63 => 1, 3, 7, 9, 21, 63     [Not 4]

70 => 1, 2, 5, 7, 10, 14, 35, 70    [Not 4]

77 => 1, 7, 11, 77     [4 factors and Sum = 96]

Answer:

77

Step-by-step explanation:

The first factor is 1

Since it is divisible by 7, 7 will also be one of its factors.

Therefore the four factors are

1, 7, x, y

When x and y are integers

Using the following law...

The product of factors of a number in the same position (left or right) (increasing or decreasing order) is equal to the number

Counting from left

y is the first factor

x is the second factor

Counting from the right

1 is the first factor

7 is the second factor

Applying the last

y×1=x×7

y = 7x

the sum of the factors is 96

1+7+x+7x = 96

8x+8=96

8x = 88

x= 11

Hence the number is

7x = 7(11)

=77

Write in word form.
4. 572
5. 2.897
6. $325.10​

Answers

Answer:

heyyy thereee

4) 572 = five hundred seventy two

5) 2.897 = two and eight hundred ninety seven thousandths

6) three hundred twenty five and 10 hundredths  or three hundred twenty five and 1 tenth

glad if brainliest ig ?

Please help I’ll mark as brainlist

Answers

Answer:

Ekta and Preyal

Step-by-step explanation:

Answer: Ekta and Preyal

Originally the cubes have a perimeter of 15, both Ekta and Preyal have a perimeter of 17 which is exactly a 2 unit increase

For what value of k does the equation (2k+1)x^2+2x=10x-6 have two real and equal roots?

Answers

Answer:

[tex]\displaystyle k = \frac{5}{6}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle (2k+1)x^2 + 2x = 10x - 6[/tex]

And we want to find the value of k such that the equation has two real and equivalent roots.

Since the equation is a quadartic, we can find its discriminant (symbolized by Δ). Recall that:

If Δ < 0, we have no real roots (two complex roots). If Δ > 0, we have two real roots. And if Δ = 0, we have one real root, or two equivalent ones.

First, rewrite our equation:

[tex](2k+1)x^2 -8x + 6 =0[/tex]

The discriminant is given by:

[tex]\displaystyle \Delta = b^2 -4ac[/tex]

In this case, b = -8, a = (2k + 1), and c = 6.

Therefore, the discriminant is given by:

[tex]\displaystyle \Delta = (-8)^2 - 4(2k+1)(6)[/tex]

For it to have two equal roots, the discriminant must be zero. Hence:

[tex]\displaystyle 0 = (-8)^2 - 4(2k+1)(6)[/tex]

Solve for k:

[tex]\displaystyle \begin{aligned} \displaystyle 0 &= (-8)^2 - 4(2k+1)(6) \\ 0 &= 64 - 48k - 24 \\ 0 &= 40 - 48k \\ -40 &= -48k \\ \\ k &= \frac{5}{6} \end{aligned}[/tex]

Hence, the value of k is 5/6.

100÷50000 it's has to be step by step aka show work ​

Answers

100÷50000 can be written as 100/50000, then cancel out 2 of the zeroes, and you will get 1/500 or 0.002 as your final answer.

Complete the transformations below. Then enter the final coordinates of the figure.

Answers

Nnbhu is there anyway we could go with him y

Yael used to have a square garage with 254 ft2 of floor space. She recently built an addition to it. The garage is still a​ square, but now it has​ 50% more floor space. What was the length of one side of the garage​ originally? What is the length of one side of the garage​ now? What was the percent increase in the length of one​ side?

Answers

Answer:

120

Step-by-step explanation:

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