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2 years ago

Please help me! Need answer quick!

Mathematics

1 answer:

aksik [14]2 years ago

6 0

Let h = height of triangle

h^2 + 12^2 = 15^2

h^2 + 144 = 225

h^2 = 225 - 144

h^2 = 81

sqrt{h^2} = sqrt{81}

h = 9 cm

For part B, we need to find surface area because it represents the perimeter of this 3-D figure. The formula needed is SA = B + LA.

1. First find the lateral area.

LA = perimeter of triangle • height

LA = ph

p = 15 + 15 + 24

p = 30 + 24

p = 54 cm

LA = (54)(9)

LA = 486 cm^2

2. We now find the base of each triangle. This is found by finding the area of each triangle and multiplying by 2.

A = (1/2)bh

A = (1/2)(24)(9)

A = 108 cm^2

A = 2•108 cm^2

A = 216 cm^2 = our B in the surface area formula.

SA = B + LA

SA = 216 cm^2 + 486 cm^2

SA = 702 cm^2

The amount of cardboard needed is 702 cm^2.

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Which of the following pairs of numbers contains like fractions? A. 5⁄6 and 10⁄12 B. 3⁄2 and 2⁄3 C. 3 1⁄2 and 4 4⁄4 D. 6⁄7 and 1

ElenaW [278]

<h2>Hello!</h2>

The answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.

We are given two fractions that are like fractions. Those fractions are:

Option A.

$\frac{5}{6}$ and $\frac{10}{12}$

We have that:

$\frac{10}{12}=\frac{5}{6}$

So, we have that the pairs of numbers

$\frac{5}{6}$

and

$\frac{5}{6}$

Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.

Option D.

$\frac{6}{7}$ and $1\frac{5}{7}$

We have that:

$1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}$

So, we have that the pair of numbers

$\frac{6}{7}$

and

$\frac{12}{7}$

Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.

Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.

The other options are:

$\frac{3}{2},\frac{2}{3}$

and

$3\frac{1}{2},4\frac{4}{4}$

We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.

Hence, the answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

Have a nice day!

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Step-by-step explanation:

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Katyanochek1 [597]

In a square all 4 sides are equal, so when you cut it along the diagonal to make a triangle, both the base and the height of the triangle would be the same.

The area of a triangle is found by the formula 1/2 x base x height

Since the base and height are the same the formula becomes Area = 1/2 x S^2 ( where S is the length of a side).

The area is given as 0.72 square units.

Now you have 0.72 = 1/2 x S^2

First multiply both sides by 2:

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To find S, take the square root of both sides:

S = √1.44

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MusicLeonard BernsteinLyricsStephen SondheimBookArthur LaurentsBasisRomeo and Juliet

by William ShakespeareProductions1957 Washington, D.C. (tryout)

1957 Philadelphia(tryout)

1957 Broadway

1958 West End

1959 US tour

1960 Broadway revival

1964 Broadway revival

1974 West End revival

1980 Broadway revival

1984 West End revival

1985 US tour

1995 US tour

1998 West End revival

2009 Broadway revival

2010 US tour

2020 Broadway revival

The story is set in the Upper West Sideneighborhood in New York City in the mid 1950s, a multiracial, blue-collar neighborhood. The musical explores the rivalry between the Jets and the Sharks, two teenage street gangsof different ethnic backgrounds. The members of the Sharks, from Puerto Rico, are taunted by the Jets, a white gang.[2] The young protagonist, Tony, a former member of the Jets and best friend of the gang's leader, Riff, falls in love with Maria, the sister of Bernardo, the leader of the Sharks. The dark theme, sophisticated music, extended dance scenes, and focus on social problems marked a turning point in American musical theatre. Bernstein's score for the musical includes "Jet Song", "Something's Coming", "Maria", "Tonight", "America", "Cool", "One Hand, One Heart", "I Feel Pretty", "Somewhere", "Gee, Officer Krupke" and "A Boy Like That".

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