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
marishachu [46]
2 years ago
12

A 15 feet tree casts a shadow that is 8 feet long. What is the distance from the tip of the tree to the tip of it's shadow?

Mathematics
2 answers:
boyakko [2]2 years ago
8 0

Answer:

17 feet

Step-by-step explanation:

I used the Pythagorean theorem to answer this question.

a^2 + b^2 = c^2

15^2 + 8^2 = c^2

225 + 64 = c^2

289=c^2

c^2=289

c=√289

c=17 feet

GrogVix [38]2 years ago
6 0

Answer:

7 feet

I hoped that helped

You might be interested in
5. In the triangle ABC. M is the midpoint of [AB] and N is the midpoint of [CM].
sweet [91]

Answer:

N(2,3)

Step-by-step explanation:

According to the Question,

  • Given that, In the triangle ABC. M is the midpoint of AB and N is the midpoint of CM And A(-1, 3), B(7-3) and C(1,6).
  • Thus, For coordinates of N. first We have to find the Coordinate of M(x,y). As Given M is the Midpoint of A(-1, 3) and B(7-3).

Thus, M(x,y) = (-1+7)/2 , (3-3)/2 ⇒ M(3,0)

  • Now, As Given, N(a,b) is the Midpoint Of C(1,6) and M(3,0).

Thus. N(a,b) = (1+3)/2 , (6+0)/2  ⇒ N(2,3)

8 0
3 years ago
Games at a carnival cost $3. prizes awarded to winners cost $145.65. how many games must be played to make $50
stich3 [128]

Answer:

Step-by-step explanation:

3×1405 and $.65

8 0
3 years ago
Fine length of BC on the following photo.
MrMuchimi

Answer:

BC=4\sqrt{5}\ units

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

AC^2=AD^2+DC^2

substitute the given values

AC^2=16^2+8^2

AC^2=320

AC=\sqrt{320}\ units

simplify

AC=8\sqrt{5}\ units

step 2

In the right triangle ACD

Find the cosine of angle CAD

cos(\angle CAD)=\frac{AD}{AC}

substitute the given values

cos(\angle CAD)=\frac{16}{8\sqrt{5}}

cos(\angle CAD)=\frac{2}{\sqrt{5}} ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

cos(\angle BAC)=\frac{AC}{AB}

substitute the given values

cos(\angle BAC)=\frac{8\sqrt{5}}{16+x} ----> equation B

step 4

Find the value of x

In this problem

\angle CAD=\angle BAC ----> is the same angle

so

equate equation A and equation B

\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}

solve for x

Multiply in cross

(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units

DB=4\ units

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

BC^2=DC^2+DB^2

substitute the given values

BC^2=8^2+4^2

BC^2=80

BC=\sqrt{80}\ units

simplify

BC=4\sqrt{5}\ units

7 0
2 years ago
A gardener uses a coordinate grid to design a new garden. The gardener uses polygon WXYZ on the grid to represent the garden. Th
ValentinkaMS [17]

Answer:

A square

36 square yard.

Step-by-step explanation:

Given the following information:

W(3,3), X(-3,3), Y(-3,-3), and Z(3,-3)

So we need to graph those vertices and connect them in order.

(please have a look at the attached photo)

From the graph, it clear that the shape of the garden is a square.  

Then, we need to calculate the length of the four sides

<u>Find the length of the side YZ. </u>

The length of side YZ  =  3 + 3  =  6 yards  because point Y and Z are on the same line y = -3 so we just need to find the distance between their x coordinate

<u>Find the length of the side WZ.</u>

The length of side WZ  =  3 + 3  =  6 yards because point W and Z are on the same line x = 3 so we just need to find the distance between their y coordinate

=> the area of the square WXYZ:

= YZ*WZ

= 6*6

= 36 square yard.

7 0
3 years ago
Suppose that demand in period 1 was 7 units and the demand in period 2 was 9 units. Assume that the forecast for period 1 was fo
Zepler [3.9K]

Answer:

Step-by-step explanation:

Forecast for period 1 is 5

Demand For Period 1 is 7

Demand for Period  2 is 9  

Forecast  can be given by

F_{t+1}=F_t+\alpha (D_t-F_t)

where

F_{t+1}=Future Forecast

F_t=Present\ Period\ Forecast

D_t=Present\ Period\ Demand

\alpha =smoothing\ constant  

F_{t+1}=5+0.2(7-5)

F_{t+1}=5.4

Forecast for Period 3

F_{t+2}=F_{t+1}+\alpha (D_{t+1}-F_{t+1})

F_{t+2}=5.4+0.2\cdot (9-5.4)

F_{t+2}=6.12  

8 0
3 years ago
Other questions:
  • Solve the inequality.show work. (r+3)&gt;7
    7·1 answer
  • Question 49. Please help.
    7·2 answers
  • . A fair coin and then a die with 6 sides are tosses find the probabilities of the six events occurring respectively a. P(Tails)
    11·1 answer
  • Janelle has 342 pennies, 62 nickels and 12 dimes
    7·2 answers
  • Jack and Jill both begin working new jobs for the summer. Jack is offered $18 per hour and will also be given $699 up front for
    11·1 answer
  • 17, 13, 9,5...<br> determine the sequence
    11·2 answers
  • On Map 1, which has a scale of 1:25000, length of road is 5.5cm and the area of a park is 1.4cm2
    12·1 answer
  • Question: How many small dogs are signed up to compete in the dog show?
    10·2 answers
  • a car travels along the highway to little rock a steady speed. when it begins it is 280 miles after 4 hours it 100
    8·1 answer
  • Three of the following statements are true. Which one is NOT true? <br> |-12| &gt; 1
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!