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Slav-nsk [51]
4 years ago
15

How far from the base of a building must the bottom of a 15-foot ladder sit in order for it to make a 52 angle with the ground?

round to the nearest tenth of a foot.
Mathematics
1 answer:
olga55 [171]4 years ago
5 0

Answer:

9.2 ft

Step-by-step explanation:

The length of the ladder is 15 ft

The ladder makes an angle of 52° with the ground

The distance (x) from the base of the house to the foot of the ladder is given by;

\frac{x}{15} = cos 52°

x = 15 × cos 52° = 9.23492213 ft

Which equals to 9.2 ft (rounded off to tenth of a foot)

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A 3ed degree binomial with a constant term of 8
Svet_ta [14]

Answer:

4m³+8 is a 3rd degree binomial with constant term of 8.

Step-by-step explanation:

  • A binomial expression consists of two terms.

For example,

m+n is a binomial, where m and n are two terms.

  • As we know that the degree of the polynomial is said to be the highest exponent of any of the terms.

For example, in expression 7m + 3, the exponent of m is 1. So it is 1st degree polynomial.

Similarly, in the expression 10m²+9m, variable m has the highest exponent which is 2. So it is 2nd degree polynomial.

Now, let us write a 3rd degree binomial with a constant term of 8

4m³+8

As it has two terms which are 4m³ and 8, Therefore, it would be called binomial.

Also the highest exponent with variable m is 3. Therefore it would be a 3rd degree binomial with constant term of 8.

7 0
3 years ago
Distances in space are measured in light-years. The distance from Earth to a star is 6.8 × 1013 kilometers. What is the distance
aalyn [17]
6.8 x 10^13 = 68,000,000,000,000
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6.8 x 10^13  *  1 light year / 9.46 x 10^12 = 7.188 light years.


3 0
3 years ago
*Please Help!* (Easy question) 20 POINTS
mariarad [96]
Yes - they have to be similar.  Since they are using the same line as the hypotenuse, the ratio of the other two sides are in the same ratio (ie, the slope of the line), the 3 inner angles will be the same.  Thus, the triangles will be similar.
7 0
3 years ago
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What is the answer? I'll give branliest
Katena32 [7]

Answer:

a

Step-by-step explanation:

8 0
3 years ago
Subtract (-8+2x^3) from (3x^3-4-3x)
Harman [31]

\to \sf(3x^3-4-3x) - (-8+2x^3)

\to \sf(3x^3-4-3x)  + 8 - 2x^3

\to \sf3x^3-4-3x  + 8 - 2x^3

\to \sf3x^3 - 2x^3-3x  +4

\to \sf x^3-3x  +4

3 0
3 years ago
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