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
lesya [120]
2 years ago
13

A building 56 ft high casts a 196-ft shadow. Sarah casts a 14-ft shadow. The triangle formed by the building and its shadow is s

imilar to the triangle formed by Sarah and her shadow. How tall is Sarah?
Mathematics
1 answer:
tatiyna2 years ago
6 0
We have 2 similar triangles here  so the corresponding sides are in the smae ratio.:-

So if  h is Sally's height we have

56 / h = 196 / 14

h = (56*14) / 196   =   4 feet
You might be interested in
You can jog around the block twice and the park once in 10 min. You can jog around the block twice and the park 3 times in 22 mi
stich3 [128]
B = block     p = park

2b + p = 10 min                2 runs around the block takes 10 minutes
2b + 3p = 22 min        2 runs around the block plus 3 runs around the park                                                       takes 22 minutes

To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.

2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p

2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22

10 + 3p = 22 ----------→ 2p = 12

2p = 12 -------------→ p = 6

It takes 6 minutes to jog around the park

Hope this helps!
6 0
3 years ago
A pumpkin is launched directly upwards at 72 feet per second from a platform 24 feet high. The pumpkins height, h, at time t sec
STALIN [3.7K]

Answer: Maximum height =  105 feet

And, It takes 9/4 seconds to reach that point.

Step-by-step explanation:

Here the given function that shows the height of the pumpkin,

h(t) = -16t^2 + 72t + 24 --------(1)

Where t is the time in second.

Differentiating equation (1) with respect to t,

We get,    h'(t) = -32 t + 72

Again differentiating above equation with respect to t,

We get,   h''(t) = -32

For maximum or minimum,    h'(t) = 0

- 32 t + 72 = 0

32 t = 72

t = \frac{9}{4}

At t = 9/4 , h''(t) = Negative value,

Therefore, At t = 9/4 seconds, h(t) is maximum,

And, the maximum value is,

h(\frac{9}{4} ) = -16(\frac{9}{4})^2 + 72(\frac{9}{4}) + 24

h(\frac{9}{4} ) = -16(\frac{81}{16})+ 72(\frac{9}{4}) + 24

h(\frac{9}{4} ) = -81 + 162 + 24=105

Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds

8 0
2 years ago
Write the following expression with as few symbols as possible, using the notational conventions:
My name is Ann [436]

Answer:

The simplified expressions are (<em>x</em> + <em>y·</em>z' + <em>t</em>) and <em>x·</em>(<em>x</em> + <em>y</em>' + <em>z</em>) respectively.

Step-by-step explanation:

The expressions provided are:

(i)\ x+((y\times (z')) +t)\\\\(ii)\ x\times((x+(y'))+z)

(i)

Simplify the first expression with as few symbols as possible:

x+((y\times (z')) +t)=x+(yz'+t)

                              =x+yz'+t

(ii)

Simplify the second expression with as few symbols as possible:

x\times((x+(y'))+z)=x\times ((x+y')+z)

                              =x (x+y'+z)

Thus, the simplified expressions are (<em>x</em> + <em>y·</em>z' + <em>t</em>) and <em>x·</em>(<em>x</em> + <em>y</em>' + <em>z</em>) respectively.

6 0
3 years ago
Simplify the following: x^4 - 5x⁴ + x² - 6x² ​
lys-0071 [83]

Answer:

I think − 4 ⁴   −  5 ²  

Step-by-step explanation:

I might be wrong.

3 0
2 years ago
If Mitzi has two dogs, a puppy that weighs 25 pounds and an adult that weighs 80 pounds, how much will it cost to bathe them bot
Sidana [21]

Answer:

The correct answer is A) $105

Step-by-step explanation:

In this real-world problem,  the cost to groom both dogs is (the puppy) + (the adult dog) = x.

For the first step, y = 40, if x <= 25.

y = 50, if 25 < x < 50.

if x >= 50, then y = 0.50x + 25

So therefore, substitute the puppy + adult dog = x

25 + 80 = x

105 = x

So, the final answer is $105.

It's on Edgen.

4 0
2 years ago
Other questions:
  • 4. Find the unit rate for 306 miles in 10 hours. (1 point)
    11·1 answer
  • Cos x = 3/5<br><br> how do you solve this
    9·2 answers
  • The positive square root of 72 lies between what pairs of integers?
    8·1 answer
  • 100 POINTS FOR THE ANSWER!<br> PLEASE HELP
    13·2 answers
  • What is 6% of $95 ?<br> Please help fast!!
    11·2 answers
  • 2 2/3 yards = how many feet
    7·2 answers
  • If there were 500 sheep in the farm and x of them died, but there were 25 left the next day. how many sheep died?
    8·2 answers
  • ​a) Define your random​ variables, and use them to express the​ farmer's net income. A. Apounds of apples​ sold, ​, B. Aprice pe
    10·1 answer
  • Pls help this is for math ill give a brainly​
    7·1 answer
  • What is an exponent? Because i am confused
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!