1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nonamiya [84]
3 years ago
10

A person who is 1.5 meters tall casts a shadow that is 8 meters long. The distance along the ground from the person (N) to the f

lagpole (G) is 32 meters. Find the height of the flagpole (FG) showing all calculations.
Mathematics
1 answer:
Elena-2011 [213]3 years ago
7 0
AA Theorem: To show two triangles are similar, it is sufficient to show that two angles of one triangle are congruent (equal) to two angles of the other triangle. All three triangles have a right angle and they all share the common angle at point S.

Flagpole is 32 meters from point S: so 1.5/8 = x/32 where x is FG
cross-multiply: 32 • 1.5 = 8x
48 = 8x
x = 6 meters

building is a total of 240 meters from point S, so: 1.5/8 = x / 240 where x is BD
cross-multiply: 240 • 1.5 = 8x
360 = 8x
<span>x = 45 meters</span>
You might be interested in
The equation d=13/v shows that the density of a particular substance equals a mass of 13 grams divided by the volume of the subs
stich3 [128]
D = M/V where M=mass and V = volume

Assume the Mass is 1 kg and the Volume = 1 cm³, so d= 1/1 kg/cm³

for V=0.1 → d = 1/0.1 = 10 kg.cm³
for V = 0.01 → d = 100.kg.cm³
for V = 0.001 → d = 1000.kg.cm³
for V = 0.000001 → d = 1,000,000.kg.cm³
and when Volume → 0. density →∞
.
3 0
3 years ago
A soccer team played 25 games last season. They won 16 games, lost 5 games, and tied the rest.
goldenfox [79]

Answer:

16% or 4/25

Step-by-step explanation:

16 + 5 = 21

25 - 21 = 4

4/25 = 16%

This is right because 21/25 is 84% and 84% + 16% = 100%

6 0
3 years ago
X2<br>2<br>ab<br>ab to<br>b<br>The diagian<br>K<br>n shows<br>rectangle. The shade<br>Find x.<br>​
Norma-Jean [14]

Answer:

x = 28 cm

Step-by-step explanation:

Given:

Area of link shaded regions = 84 cm²

Required:

The value of x (diameter of the semicircle/length of the rectangle)

Solution:

Diameter of the semicircle = 2r = x

Length of rectangle (L) = 2r = x

Radius of semicircle (r) = ½x

Width of rectangle (W) = radius of semicircle = ½x

Use 3.14 as π

Area of the link shaded regions = area of rectangle - area of semicircle

Thus:

Area of the link shaded regions = (L*W) - (½*πr²)

Plug in the values

84 = (x*½x) - (½*3.14*(½x)²)

84 = x²/2 - (1.57*x²/4)

84 = x²(½ - 1.57/4)

84 = x²(0.5 - 0.3925)

84 = x²(0.1075)

Divide both sides by 0.1075

84/0.1075 = x²

781.4 = x²

√781.4 = x

27.9535329 = x

x = 28 cm

5 0
3 years ago
15 men can do a piece of work in 80 days. If 5 more men are added, how long will it take to complete same piece of work?​
tresset_1 [31]

Answer:

Step-by-step explanation:

This is an inverse proportion.

men = k / Time         So first we need to find k

k = men * Time         Substitute values

k = 15*80

k = 1200  Notice the units are man days.

Now what happens if we increase the number of men to 20? What happens to the number of days.

20 = 1200 / time          Multiply both sides by time

20*time = 1200            Now divide by 20

time = 1200/20

Answer: time = 60 days

4 0
2 years ago
Kelly buys a sweater for $16.79 and a pair of pants for $28.49. She pays with a $50 dollar bill. How much change should kelly ge
Furkat [3]

Answer:

$4.72

Step-by-step explanation:

16.79+28.49=45.28

50-45.28=4.72

5 0
3 years ago
Other questions:
  • What is 11 divided by 3
    10·2 answers
  • If the equation of a circle is (x + 4)2 + (y - 6)2 = 25, its center point is
    12·2 answers
  • You invested a total of $25000 at 3% and 4.5% simple interest. During one year, the two accounts earned $900. How much did you i
    15·1 answer
  • Shiv and his friends are 3 1/6 pizzas. Express this amount as a decimal
    9·1 answer
  • F(x) = −16(x − 4)<br> + 255 <br><br> What is the value of f(x) when x = 5?
    7·1 answer
  • You spend 264$ on clothes. Shirts cost $24 and pants$32. You buy a total of 9 items
    6·1 answer
  • The Greatest common factor of 28 and 32
    5·2 answers
  • Evelia paid $70 for 8 movie tickets. Each ticket costs the same amount. What is the cost of each movie ticket in dollars and cen
    12·2 answers
  • PLLLLLLLLLLEEEEEEEZZZZZZZZZZZZzZZZZzZzzzzZZZzZZ HHHHHHHEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPP ASAP ASAP
    14·1 answer
  • Canada has a population of 33 million while Russia has 144 million inhabitants. Indonesia population is 50% greater then that of
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!