the sun shines on a flagpole, causing a shadow to be cast on the ground. the distance from the base of the pole to the tip of the shadow is 49 feet. at that time of day, the sun's rays make an angle of 38° with the ground. How tall is the flagpole?​

Answer:

x = 20

Step-by-step explanation:

In parallelograms opposite angles are congruent and angles that are on the same line are supplementary

This means that ∠TUR and ∠URS are supplementary angles

Supplementary angles have a sum of 180°

That being said we can find the missing angle ( ∠ URS ) by subtracting the measure of the given angle ( ∠TUR which has a measure of 160° ) from 180

so ∠URS = 180 - ∠TUR ( 160 )

180 - 160 = 20

Hence, ∠URS = 20°

Answer:

1 1/6

Step-by-step explanation:

A mixed number is a proper fraction.

Answer:

[tex]1\frac{1}{6}[/tex]

Step-by-step explanation:

We are given the fraction of  [tex]\frac{7}{6}[/tex].

There are enough parts to make one whole, with one remaining.

Six sixths for the whole, the fraction would be one-sixth.

[tex]\frac{7}{6}=1\frac{1}{6}[/tex]

Hope this helps.

Answer:

Step-by-step explanation:he first digit must be a 6, 7, or 8, because the number has to be bigger than 6,000.

The last digit must be a 1, 3, 5, or 7, because the number has to be odd.

So if the first digit is 6 or 8, there are 4 odd-number options for the last digit. If the first digit is a 7, then there are only 3 options for the last digit, as 7 can’t be used twice.

The other two digits can be anything that’s not already used. So for each first-and-last combination of digits mentioned above, there will be six options available for one of the middle digits, and then for each of those 3-digit combinations, five options will be available for the final remaining digit.

At this point, we have everything we need to express this as an equation:

x = (2 x 4 + 1 x 3) x 6 x 5

And then we can simplify and solve:

x = (8 + 3) x 30

x = 11 x 30

x = 330

Answer:

There are 19.5 extinguishers needed.

Step-by-step explanation:

Given that,

One fire extinguisher be available for every 4,520 square feet in a building.

We need to find the value of x if the number of fire extinguishers needed for a building that has 88,140 square feet.

x = (Area of building)/(Area of one fire extinguisher)

So,

[tex]x=\dfrac{88140}{4520}\\\\x=19.5[/tex]

So, there are 19.5 extinguishers needed.

Answer:

B

Step-by-step explanation:

Answer:

The answer would be 3, 50%, 3/6, 1/2

Step-by-step explanation:

Half the numbers are even numbers while the other half is uneven.

1 3 5

2 4 6

The two solutions of the inequality -X > 10 are -15 and -11

a relationship between two expressions or values that are not equal to each other is called 'inequality.

To solve the inequality -X > 10, we need to isolate the variable X on one side of the inequality.

We can start by multiplying both sides of the inequality by -1 to get:

X < -10

This means that any value of X that is less than -10 will satisfy the inequality.

Therefore, two possible solutions to the inequality are:

X = -15 (since -15 is less than -10, the inequality -X > 10 is true)

X = -11 (since -11 is also less than -10, the inequality -X > 10 is true)

Note that there are infinitely many possible solutions to the inequality, since any value of X that is less than -10 will work.

Hence, the two solutions of the inequality -X > 10 are -15 and -11

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Answer:2444

Step-by-step explanation 23333

Answer:

Step-by-step explanation:

the two halfs of the triangles will make a box so just  5x8x9 =360 [tex]cm^{3}[/tex]

Volume of prism: 5 x 4 x 6 = 120 cubic meters

Volume of pyramid: 5x4 x 6/3 = 40 cubic meters

Ratio: 40/120 = 1/3

Answer:

The answer is...1/2

Step-by-step explanation:

1- head

1-tail

To get head-1/2

Answer:

the answer is 1/2

Step-by-step explanation:

you have 2 sides each side a 50% chance

Step-by-step explanation:

Given that,

Length, l = (3d+2) m

Width, b = (d+5) m

(a) Perimeter of the rectangle,

P = 2(l+b)

P = 2(3d+2+d+5)

= 2(4d+7)

P = 8d+14

(b) If P = 30 cm.

8d+14 = 30

8d = 16

d = 2

(c) l = (3(2)+2) = 8 m

b = (2+5) = 7 m

The area of this rectangle,

A = lb

A = 8×7

A = 56 cm²

Hence, this is the required solution.

Answer:m =

(25×7) + 40 = m

Step-by-step explanation:

i just know how to do this my brain just does it

Answer: 13:1

Step-by-step explanation:

Number of candies = 1170

Number of gumdrops = 1080

Number of chocolate bars = 90

The ratio of candies to chocolate bars will be calculated thus:

= Number of candies / Number of chocolate bars

= 1170 / 90

= 13/1

= 13:1

Therefore, the ratio of candies to chocolate bars is 13:1.

Answer:

No, it is not a solution of the equation.

Step-by-step explanation:

x=-11, y=-284

14 · (-11)-129=-283

-283≠-284

Answer:

28 cm

Step-by-step explanation:

the unmarked angle is 32°

180°-90°-58°=32°

cos(32°)=[tex]\frac{24}{c}[/tex]

c=[tex]\frac{24}{cos(32\textdegree)}[/tex]

=28.3

≈28

Answer:

The answer is c

Step-by-step explanation:

5x+3y=19

multiply x 2: 10x+6y=38

2x-4y=-8

multiply by -5: -10x+20y=40

now you can add the two equations:

                    10x+6y=38

                    -10x+20y=40

add equations 0x+26y=78

                               Y=3

Answer:

60%

Step-by-step explanation:

First we must find how many chocolate their was. 60 - 24 = 36

36 is 60% percent of 60.

Answer:

40

Step-by-step explanation:

14/35 = f/100

35f = 14 x 100

f = 14 x 100 /35

f = 40

Answer:

40

Step-by-step explanation:

Well, 35% of 40 is 14, but I'm not confident on what it wants when it suggests to answer as a numeric expression. But, if it means in it's unadulterated, unsimplified, primitive nature, then sure, let me list the work below.

14/.35

There.

Answer:

C

Step-by-step explanation:

Given

x² - 2x + 2 = 0 ( subtract 2 from both sides )

x² - 2x = - 2

To solve use the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 1)x + 1 = - 2 + 1

(x - 1)² = - 1 ( take the square root of both sides )

x - 1 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 1 to both sides )

x = 1 ± i , then

x = 1 + i or x = 1 - i → C

Answer:

3 < M - N < 9

Step-by-step explanation:

First, let's write the inequalities for these two numbers.

"a number greater than -3 and less than -2"

 -3 < N < -2

"a number greater than 1 and less than 6"

1 < M < 6

We want to subtract the first one to the second one, so we want to get:

M - N

Because this is a subtraction, the lower bound of the subtraction happens when we have the minimum value of M and the maximum value of N.

Then the minimum value of M - N happens when:

M = 1

N = -2

(notice that M can't be equal to 1, and N can't be equal to -2, we just do this to find the lower bound)

Then the lower bound is:

M - N = 1 - (-2) = 3

We already got:

3 < M - N

For the upper bound, we need to find the difference between the largest value of M, and the lowest value of N

This is:

M = 6

N = -3

M - N = 6 - (-3) = 9

Then:

M - N < 9

If we take both of our results, the possible values of the subtraction are given by:

3 < M - N < 9

The result of subtracting a number greater than -3 and less than -2 from a number greater than 1 and less than 6 is mathematically given as

3 < M - N < 9

Question Parameter(s):

-3 < N < -2

1 < M < 6

therefore,

subtraction for lower bound

M - N = 1 - (-2)

M - N = 3

3 < M - N

subtraction for upper bound

M - N = 6 - (-3)

M - N = 9

M - N < 9

In conclusion,  the possible values after subtraction are

3 < M - N < 9

Read more about Inequality

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Answer:

Area is 12 square meter

Step-by-step explanation:

The formula for the area of a triangle is 1/2 (b)(h)

which is 1/2 (6)(4) which is 12.

Answer:

Step-by-step explanation:

Start with f(x)=3x+24 and find the inverse function:

1.  Replace "f(x)" with y:  y = 3x + 24

2.  Interchange x and y:  x = 3y + 24

3.  Solve for y:  3y = x - 24, or y = (1/3)(x - 24)

This last step results in the inverse function.

Now let's test this.  Let x = 36.  How many texts could Madison "do" for this dollar amount?  y = (1/3)(36 - 24) results in y = (1/3)(12), or 4 (texts).

Let's go back to the original f(x)=3x+24, now letting x = 4:

f(x)=3(12)+24 = $36.  This verifies that y = (1/3)(x - 24) is the inverse function of f(x) = 3x + 24.

Answer:

Tasa efectiva anual= 0.1722= 17.22%

Step-by-step explanation:

Dada la siguiente información:

Tasa de interes anual= 16% capitalizable mensualmente

Primero, debemos calcular la tasa nominal mensual:

Tasa mensual= 0.16 / 12= 0.01333

Ahora, usando la siguiente formula, la tasa efectiva anual:

Tasa efectiva anual= (1 + i)^n - 1

Tasa efectiva anual= (1.01333^12) - 1

Tasa efectiva anual= 0.1722= 17.22%

Answer:

First answer: 3

Second answer: 6

Each square you see on the cube you add +1 to get 3

But in total the cube has 6 faces

Answer:

You can see 3 faces

There are 6 faces in a cube

Answer:

x = 5/4 + √65/4 or x = 5/4 - √65/4

Step-by-step explanation:

I'm assuming you mean 2x^2-5x-5=0?

x = ( -b ± √b^2 - 4ac ) / 2a

x = ( -(-5) ± √(-5)^2 - 4(2)(-5) ) / 2(2)

x = ( 5 ± √(25 + 40) ) / 4

x = ( 5 ± √65 ) / 4

x = 5/4 ± √65/4

Therefore, x = 5/4 + √65/4 or x = 5/4 - √65/4

Answer:

set of input values that consists of all numbers in an  interval.

Step-by-step explanation:

Answer:

A continuous domain is a set of input values that consists of all numbers in an interval.

Step-by-step explanation:

I don't know how to explain it to a five year old. Sorry