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NeX [460]
3 years ago
13

A 25 foot ladder rests against a buliding . The base lf the ladder is 15 feet away from the base of the building. At what height

does the ladder rest on the building (geometry , pythagorean theorem)
Mathematics
1 answer:
professor190 [17]3 years ago
3 0
X^2+15^2=25^2
X^2+225=625
Isolate X
X^2=400
Take the square root on both sides
X=positive and negative 20 but in this case the negative is thrown out because you can't have a negative side
Answer: 20
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Kaylee invested $910 in an account paying an interest rate of 2.6% compounded
Nikitich [7]

Answer:

$1,179

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, lets change 2.6% into a decimal:

2.6% -> \frac{2.6}{100} -> 0.026

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

A=910(1+\frac{0.026}{4})^{4(10)}

A=1,179.21

The account balance after 10 years will be $1,179

8 0
3 years ago
Draw a
valentinak56 [21]

Answer: B

Step-by-step explanation:

The maximum is 100 and the minimum is 27.

  • The only option that shows this is B.
3 0
2 years ago
Suppose you choose a marble from a bag containing 5 red marbles, 3 white marbles, and 6 blue marbles. You return the first marbl
Aneli [31]
|\Omega|=14^2=196\\&#10;|A|=5\cdot6\cdot2=60\\\\&#10;P(A)=\dfrac{60}{196}=\dfrac{15}{49}
5 0
3 years ago
Place the correct coefficients<br> x²y³ +<br> in the difference.<br> xy² +<br> y
antiseptic1488 [7]

The difference between the two polynomials is 11x²3y³ - 4xy².

<h3>What is the Difference between the Polynomials?</h3>

The difference between two polynomials is the result you get by subtracting one from the other.

Thus:

= (4x²2y³ + 2xy² – 2y) – (–7x²y³ + 6xy² – 2y)

= 4x²2y³ + 2xy² – 2y + 7x²y³ - 6xy² + 2y

= 11x²3y³ - 4xy²

Learn more about polynomials on:

brainly.com/question/2833285

#SPJ1

8 0
2 years ago
Realice la óperacion y exprese el resultado en notación científica (0,00000826) (235×10 elevado a -7) sobre 0,0017×10 elevado a
earnstyle [38]

Answer:

1,42 * 10 ^ -5

Step-by-step explanation:

La notación científica también se conoce como forma estándar.

Tenemos que realizar la siguiente operación y dejar el resultado en forma estándar.

Entonces;

0,00000826 * 235 × 10 ^ -7 / 0,0017 × 10 ^ -2

También;

8.26 * 10 ^ -6 * 2.35 * 10 ^ -5 / 1.7 * 10 ^ -5

= 19,411 * 10 ^ -11 / 1,7 * 10 ^ -5

= 1,42 * 10 ^ -5

6 0
3 years ago
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