May I please receive help?

May I Please Receive Help?

Answers

Answer 1

Answer:

Length of the shadow = 20.5 cm

Step-by-step explanation:

Given the 32-meter height of a tall building, and its casted shadow of 38 meters, we can find the unknown length of the shadow by using the Pythagorean Theorem.

Definition:

The Pythagorean Theorem states that the squared length of the hypotenuse of a right triangle is equal to the sum of the squared lengths of the legs.

The algebraic representation of the Pythagorean Theorem is:  

                     c² (hypotenuse) = a² (leg₁) + b² (leg₂)

Solution

To solve for the given problem:

Let c = 38 m (distance from the top of the building to the tip of the shadow)

a = unknown length of the shadow

b = 32m (height of the building)

Since we have to solve for the value of a (unknown length of the shadow), we must algebraically solve for a:

c² = a² + b²

Subtract b² from both sides:

c² - b² = a²  + b² - b²

a² = c² - b²

Substitute the given values into the formula for solving a :

a² = c² - b²

a² = (38)² - (32)²

a² = 1444 - 1024

a² = 1444 - 1024

Next, take the square root of both sides to solve for a:

[tex]\displaystyle\mathsf{\sqrt{(a)^2}\:=\:\sqrt{420}}[/tex]

a = 20.49 or 20.5 cm

Therefore, the length of the shadow is 20.5 cm.


Related Questions

explain how to plot the point (-5.5, 3) and identify which quadrant it is in

Answers

Answer:

well -5.5 is the left side of the graph then goes up 3 y which brings you to the -x positive y quadrant or the top left quadrant which is quadrant 2

The hypotenuse of a right triangle measures 16 cm and one of its legs measures 11 cm. Find the measure of the other leg.

Answers

Answer:

The answer is 11.6 cm

Step-by-step explanation:

The equation of a right triangle is a^2+b^2=c^2 (a and b being its legs and c its hypothenuse.)

Now we must input 16 cm into c and 11 cm into either a or b.

a^2+11^2=16^2 which is equal to a^2+121=256.

subtract 121 from both sides to get a^2 by itself

a^2+(121-121)=(256-121)

a^2=135

to get "a" by itself, we must find the square root of 135.

√a^2=√135

a=11.6

can someone solve this trigonometry question?​

Answers

Ok done. Thank to me:>

A company needs to package 2,400 pencils. A box in the shape of a rectangular prism can hold 60 pencils. A cylindrical container can hold 80 pencils. Each box costs the company $0. 50, while each cylindrical container costs $0. 75. Which packaging should the company use to minimize cost? Explain. The rectangular prism boxes should be used because they will cost the company $2. 50 less than using the cylindrical containers. The cylindrical containers should be used because they will cost the company $2. 50 less than using the rectangular boxes. The rectangular prism boxes should be used because they will cost the company $5. 00 less than using the cylindrical containers. The cylindrical containers should be used because they will cost the company $5. 00 less than using the rectangular boxes.

Answers

The true statement is (a) The rectangular prism boxes should be used because they will cost the company $2. 50 less than using the cylindrical containers.

The given parameters are:

[tex]Pencils = 2400[/tex] --- the pencils needed

The number of pencils the prism can hold is:

[tex]Prism =60[/tex]

Divide the number of pencils needed by the number of pencils in 1 rectangular prism, to calculate the number of prisms needed (n1)

[tex]n_1 = \frac{Pencils}{Prism}[/tex]

So, we have:

[tex]n_1 = \frac{2400}{60}[/tex]

[tex]n_1 = 40[/tex]

A rectangular prism costs $0.50.

So, the total cost is:

[tex]Total\ cost = 40 \times 0.50[/tex]

[tex]Total\ cost = \$20[/tex]

The number of pencils the cylinder can hold is:

[tex]Cylinder=80[/tex]

Divide the number of pencils needed by the number of pencils in 1 cylinder box, to calculate the number of cylinders needed (n2)

[tex]n_2 = \frac{Pencils}{Cylinder}[/tex]

So, we have:

[tex]n_2 = \frac{2400}{80}[/tex]

[tex]n_2 = 30[/tex]

A cylinder costs $0.75.

So, the total cost is:

[tex]Total\ cost = 30 \times 0.75[/tex]

[tex]Total\ cost = $22.5[/tex]

By comparison, the rectangular prism costs $2.5 less than the cylinder

Hence, the true statement is (a)

Read more about volumes at:

https://brainly.com/question/1908836

find the zeros of the function f(x) = (x+3)^2-4=0

Answers

Answer:

[tex]x=-1[/tex] and [tex]x=-5[/tex]

Step-by-step explanation:

[tex]f(x)=(x+3)^2-4[/tex]

[tex]0=(x+3)^2-4[/tex]

[tex]0=(x^2+6x+9)-4[/tex]

[tex]0=x^2+6x+5[/tex]

[tex]0=(x+1)(x+5)[/tex]

[tex]x=-1[/tex] and [tex]x=-5[/tex]

Answer:

[tex]x=-1,\:x=-5[/tex]

Step-by-step explanation:

Solve the equation:

[tex]f(x)=\left(x+3\right)^2-4=0[/tex]

[tex]\left(x+3\right)^2-4=0[/tex]

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]\left(x+3\right)^2-4+4=0+4[/tex]

[tex]\left(x+3\right)^2=4[/tex]

[tex]x+3=\sqrt{4}:x=-1[/tex]

[tex]x+3=\sqrt{2^2}[/tex]

[tex]x+3=2[/tex]

[tex]x+3-3=2-3[/tex]

[tex]x=-1[/tex]

[tex]x+3=-\sqrt{4}:x=-5[/tex]

[tex]x+3=-\sqrt{4}[/tex]

[tex]x+3=-2[/tex]

[tex]x+3-3=-2-3[/tex]

[tex]x=-5[/tex]

Now, look at the points plotted on the graph:

A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high. What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?.

Answers

The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches

The dimension of the mirror is given as:

[tex]Height = 24\ in[/tex]

[tex]Width = 28\ in[/tex]

From the center of the mirror to the floor of the wall, the distance is:

[tex]Distance =5\frac14\ ft[/tex]

So, the distance to the top of the mirror will be:

[tex]Top = 5\frac 14\ ft + \frac 12 \times Height[/tex]

Substitute 24 for height

[tex]Top = 5\frac 14\ ft+ \frac 12 \times 24\ in[/tex]

[tex]Top = 5\frac 14\ ft+ 12 \ in[/tex]

Convert feet to inches

[tex]Top = 5\frac 14\times 12\ in+ 12 \ in[/tex]

[tex]Top = 63\ in+ 12 \ in[/tex]

[tex]Top = 75 \ in[/tex]

The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.

So, we have:

[tex]Distance = 8\ ft - 75\ in[/tex]

Convert feet to inches

[tex]Distance = 8\times 12\ in - 75\ in[/tex]

[tex]Distance = 96\ in - 75\ in[/tex]

[tex]Distance = 21\ in[/tex]

Hence, the distance is 21 inches

Read more about lengths at:

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Foundations in Algebra: Probability Assignment
1. Andrew claims:
A spinner has 4 sections -
red, yellow, green, and blue.
The probability of getting the
red section is 0.25.
Is he correct? Explain your answer fully:
I

Answers

Answer:

yes a 1/4 probability is 0.25

I need help with solving this with synthetic division

Answers

Answer:

Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant.

Step-by-step explanation:

Set up the synthetic division.

Bring down the leading coefficient to the bottom row.

Multiply c by the value just written on the bottom row.

Add the column created in step 3.

4. Does the scatterplot have positive correlation, negative correlation, or no correlation?
Negative correlation
Positive correlation
O No correlation

Answers

Answer:

Negative Correlation

Step-by-step explanation:

Since the points are approximately lined up in a linear line pointing toward the bottom right, the slope of the best fit line would be a negative value. So the scatter plot shows a negative correlation.

If my friend answers this question under 5 seconds he's a god

Answers

x = 9

Scale size is 3 so multiply all terms in ABC by 3.

on a winter monday in nepal, the temperature was -8F. by 1 pm, it was 27F. how many degrees did the temperature change?

Answers

Answer:

35 degrees.

Step-by-step explanation:

Answer:

35 degrees

Step-by-step explanation:

27 - 35 = -8

Please help me with the math below

Answers

Answer:

A. $4.25 per 1 kg of spice

B. 60 : 40 = 3 : 2

Step-by-step explanation:

200 g = 0.2 kg (÷100)

unit price formula: cost ÷ quantity

0.85 ÷ 0.2 = 4.25

set a proportion;

60 3

---- = ---

x 2

3÷60 = 0.05 2

2 ÷ 0.05 = 40

x = 40

hope this helps!

Trignometry plzz helpppp asappp

Answers

Answer:

[tex]x\approx4.5[/tex]

Step-by-step explanation:

In relation to ∠U, we are given the triangle's opposite side and adjacent side. Therefore, we should use the tangent function to determine the opposite side:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

[tex]tan(34^\circ)=\frac{x}{6.7}[/tex]

[tex]6.7tan(34^\circ)=x[/tex]

[tex]x=6.7tan(34^\circ)[/tex]

[tex]x\approx4.5[/tex]

Triangle XYZ is shown on the coordinate plane below:

Answers

Answer:

(4, -3)

Step-by-step explanation:

X is 4 units away from y=1, so 4 units further away is -3. The Y value of the point stays the same.

pls help Pls no links​

Answers

Hey there!

3^15/ 3^3

3^15

= 3*3*3*3*3*3*3*3*3*3*3*3*3*3*3

= 9*9*9*9*9*9*9*3

= 81*81*81*27

= 6,561 * 2,187

= 14,348,907

= 14,348,907/3^3

3^3

= 3*3*3

= 9*3

= 27

14,348,907/27

= 531,441

15 - 3 = 12

= 3^12

Because

3^12

= 3*3*3*3*3*3*3*3*3*3*3*3

= 9*9*9*9*9*9

= 81*81*81

= 6,561*81

= 531,441

531,441 ≈ 3^12

Therefore, your answer should be: 3^12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Write the equation of the line that passes through the points (0,8) and (-1,-4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
a

Answers

Step-by-step:

Use slope formula to find the slope. (y - y)/(x - x)

Make sure the x and y in front of the minus is a pair that goes together, as well as the x and y behind the minus sign. So

8 - -4 goes on top, that's 12

0 - -1 goes under, thats 1

12/1 is the slope which is just 12. Use either point to fill in the second x and the second y in the point-slope equation. m is the slope.

y - y = m(x - x)

y - 8 = 12(x - 0)

y - 8 = 12x

I need help and I can’t find any sadly. Help!!

Answers

Answer:

See answer below.

Step-by-step explanation:

3x - 2 =  4                Given

   +2  =  +2

  3x     =  6               Addition Property of Equality

3x/3  = 6/3

     x = 2                  Division Property of Equality

estimate the area of the following irregular shapes

Answers

Answer and Explanation: We will find the area of the given shape:

To find the area, we will count the number of squares of the shaded area.

While calculating the area for a more accurate estimate, we count the square as “1” if the shaded region covers more than half of each square. By counting the squares, the area is approximately 50 square units.

leilani rides her bike for exercise and drinks 70 ounces of water each day in order to stay hydrated.before her morning ride, she drinks 14 ounces of water leilani wants to know what percent of the daily amount of water she has before her ride. find an equivalent ratio where the total amount of water is 100 ounces

Answers

Step-by-step explanation:

we need to find how much 14/70 is equal to ? over 100

100/70=1.42857142857

14x1.42857142857=20

Therefore she drinks 20/100 she drinks before she goes on a ride.

or 20%

it's 20

I got it right on iready

4 x 50 = 200
So why we do 8 divide 200 here we can just write 4 x 50 =200 ?

Answers

Answer:

You can! It's just a matter of personal choice.

Step-by-step explanation:

Find 20%of $2500 what is the answer

Answers

Answer:

20% of 2500 is 500

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

We need to determine 20% of 2500 now and the procedure explaining it as such

Step 1: In the given case Output Value is 2500.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 2500 = 100%.

Step 4: In the Same way, x = 20%.

Step 5: On dividing the pair of simple equations we got the equation as under

2500 = 100% (1).

x = 20% (2).

(2500%)/(x%) = 100/20

Step 6: Reciprocal of both the sides results in the following equation

x%/2500% = 20/100

Step 7: Simplifying the above obtained equation further will tell what is 20% of 2500

x = 500%

Therefore, 20% of 2500 is 500

Como se faz o cálculo 13÷5,2

Answers

a resposta para a sua pergunta é 2.5 esperança que ajuda por favor marcar como mais inteligente se correto obrigado

Please help me I have no idea what I'm doing :(​

Answers

Answer:

x = (-b ± √b² - 4ac)/2a

Step-by-step explanation:

4/5=x/100 solve please

Answers

Answer:

x = 80

Step-by-step explanation:

4/5 = x/100

100 · 4/5 = 100 · x/100

100 · 4/5= x

80 = x

x = 80

Hence, The Answer is 80.

For which of the following geometric series can the infinite sum be determined? a1 = –0.25, r = –3 a1 = 0.75, r = 4 a1 = 3, r = 2 a1 = 5, r = –0.5

Answers

So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.

For a geometric series the infinite sum is given by s = a/(1 - r) where a = first term, r = common ratio and |r| < 1.

For each of the geometic series given below, we need to determine if |r| < 1.

For a₁ = -0.25, r = - 3, |r| = |-3| = 3 > 1

For a₁ = 0.75, r = 4, |r| = |4| = 4 > 1

For a₁ = 3, r = 2, |r| = |2| = 2 > 1

For a₁ = 5, r = -0.5, |r| = |-0.5| = 0.5 < 1

Since we require |r| < 1 to find the infinite sum and |r| in the last geometric series |r| = 0.5 < 1, the infinite sum can be found in the geometric series a₁ = 5, r = -0.5..

So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.

Learn more about infinite sum of geometric series here:

https://brainly.com/question/16037289

The Sea Lions are facing off against The Otters in fantasy football. The Sea Lions scored -12 points this
week The Otters scored -17 points this week
Which one of the following inequalities correctly compares the scores?
Choose 1 answer:
-17> -12
8
B
-12 > -17
Which one of the following descriptions is correct?
Choose 1 answer:

Answers

Answer:

the answer is b -12 is closer to being a positive number making it worth more than -17. so you're answer would be -12>-17

please help asap!!!!

Answers

Answer:

Question 2: 2/3

Question 1: 1/3

Question 3: 20

Step-by-step explanation:

Question 2: 8/4 = 2 & 12/4 = 3.

Question 1: 6/6 = 1 & 18/6 = 3.

Question 3: 10/10 = 1 & 20/10 = 2.

A person at rest typically takes 720 breaths in an hour.At this rate,how many breaths does a person take in 15 minutes?

Answers

Answer:

180

Step-by-step explanation:

A person places $4080 in an investment account earning an annual rate of 5.7%, compounded continuously. Using the formula
V
=
P
e
r
t
V=Pe
rt
, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 4 years.

Answers

We have been given that a person places $6340 in an investment account earning an annual rate of 8.4%, compounded continuously. We are asked to find amount of money in the account after 2 years.

We will use continuous compounding formula to solve our given problem as:

, where

A = Final amount after t years,

P = Principal initially invested,

e = base of a natural logarithm,

r = Rate of interest in decimal form.  

Upon substituting our given values in above formula, we will get:

Upon rounding to nearest cent, we will get:

Therefore, an amount of $7499.82 will be in account after 2 years.

Answer:

5124.83

Step-by-step explanation:

r=5.7\%=0.057

r=5.7%=0.057

Move decimal over two places

P=4080

P=4080

Given as the pricipal

t=4

t=4

Given as the time

V=Pe^{rt}

V=Pe  

rt

 

V=4080e^{0.057( 4)}

V=4080e  

0.057(4)

 

Plug in

V=4080e^{0.228}

V=4080e  

0.228

 

Multiply

V=5124.8281\approx 5124.83

V=5124.8281≈5124.83

If someone has a cylindrical container filled to the top with water and pours the water in a cone with the same diameter, d= 6in, and height, h=14 in, into the cone, what is the volume of water left in the cylinder?

Answers

Answer:

6.2

Step-by-step explanation: TOOK THE TEST

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