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
ikadub [295]
3 years ago
9

A ladder 50 dm long when set against the wall of a house just reaches a window at a height of 48 dm. How far is the lower end of

the ladder from the base of the wall?
Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer:

14dm

Step-by-step explanation:

To solve this question we can use the Pythogorean theorem

a^2 + b^2 = c^2

In this case, The ladder is the hypotenuse, the height is one of the leg of the right angle triangle

Let's keep the missing side as x

If we apply the theorem,

x^2 + 48^2 = 50^2

x^2 + 2304 = 2500

x^2 = 2500 - 2304

x^2 = 196

x =  \sqrt{196}  \\ x = 14

You might be interested in
Simplify the expression.
Marizza181 [45]
\bf \textit{Cofunction Identities}
\\ \quad \\
sin\left(\frac{\pi}{2}-{{ \theta}}\right)=cos({{ \theta}})\qquad 
\boxed{cos\left(\frac{\pi}{2}-{{ \theta}}\right)=sin({{ \theta}})}
\\ \quad \\ \quad \\
tan\left(\frac{\pi}{2}-{{ \theta}}\right)=cot({{ \theta}})\qquad 
cot\left(\frac{\pi}{2}-{{ \theta}}\right)=tan({{ \theta}})
\\ \quad \\ \quad \\
sec\left(\frac{\pi}{2}-{{ \theta}}\right)=csc({{ \theta}})\qquad 
csc\left(\frac{\pi}{2}-{{ \theta}}\right)=sec({{ \theta}})

\bf \\\\
-------------------------------\\\\
sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta )
\\\\\\
\boxed{cos(\theta )=\sqrt{1-sin^2(\theta )}}

\bf \\\\
-------------------------------\\\\
\cfrac{cos^2\left(\frac{\pi }{2}-x  \right)}{\sqrt{1-sin^2(x)}}\implies \cfrac{\left[ cos\left(\frac{\pi }{2}-x    \right)\right]^2}{cos(x)}\implies \cfrac{[sin(x)]^2}{cos(x)}\implies \cfrac{sin(x)sin(x)}{cos(x)}
\\\\\\
sin(x)\cdot \cfrac{sin(x)}{cos(x)}\implies sin(x)tan(x)
6 0
3 years ago
A plumber charges an initial fee of $60 and $15 per hour. Write an equation that represents how much the plumber charges, y, if
34kurt

Answer:

Y=15x+60

Step-by-step explanation:

6 0
2 years ago
There are 10 less trumpet players than saxophone players. The number of saxophone playere is 3 times thr number of trumpet playe
just olya [345]
I'm guessing it 30 it says 3 times the nber of trumpet players
7 0
2 years ago
Which two ratios form a proportion?
s2008m [1.1K]

Answer:

02:3 and 12:18

Step-by-step explanation:

A proportion is formed when the larger ratio can be simplified to equal the smaller ratio:

#1

02:3 and 4:12

Reducing the larger ratio: 4:12=1:3

Hence, not a proportion.

#2

02:3 and 6:12

Reducing the larger ratio: 6:12=1:2

Hence, not a proportion.

#3

02:3 and 12:18

Reducing the larger ratio: 12:18=2:3

Hence, they form a proportion.

#4

02:3 and 12:18

Reducing the larger ratio: 12:36=1:3

Hence, not a proportion.

4 0
3 years ago
A special deck of cards has 5 red cards, and 4 purple cards. The red cards are numbered 1, 2, 3, 4, and 5. The purple cards are
True [87]

Answer:

a. 9

b. 4/9 or 0.444

Step-by-step explanation:

R=red card={R1,R2,R3,R4,R5}

E=even card={R2,R4,P2,P4}

n(R)=5

n(E)=4

a.

There 5 red and 4 purple card so, the sample space would be

Sample space=S={R1,R2,R3,R4,R5,P1,P2,P3,P4}

number of elements in sample space=n(S)=9

So, the number of elements in the sample space are 9.

b.

P(E)=n(E)/n(S)

P(E)=4/9 or 0.444

Thus, the probability of an even numbered card is 0.444.

4 0
3 years ago
Other questions:
  • The sales tax rate in a certain state is 8%. How much would you pay in total for a taxable item that costs $25.25?
    5·2 answers
  • Find the probability that he makes one of the two free throws using the multiplicativ
    6·1 answer
  • Dentro de 15 años la edad de Jorge será el doble de la de Eduardo si hace 6 años la de Jorge era triple la de Eduardo, hallar la
    8·1 answer
  • Can you please help me with this question
    5·2 answers
  • What is ∛2197? Explain how you got your answer.
    14·2 answers
  • Steps to solve<br>1/2 / 2/-5 + (-1/4)​
    6·2 answers
  • Factor and solve pretty please help me
    6·2 answers
  • 50 POINTS, I NEED IT QUICK PLSS
    9·1 answer
  • Prior to September, 2000, taxi fares from Washington DC to Maryland were described as follows: $2.00 up to and including 1⁄2 mil
    5·1 answer
  • Which of the statements are true regarding dot plots bar graphs and historgrams
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!