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MissTica
3 years ago
15

A company logo is shaped like an equilateral triangle with 2-in.-long sides. What is the height of the logo? Round to the neares

t tenth. A. 1.0 in. B. 1.7 in. C. 2.0 in. D. 1.4 in.
Mathematics
2 answers:
deff fn [24]3 years ago
6 0

Answer:

B. 1.7 in

Step-by-step explanation:

Divide the triangle into 2 congruent right angle triangles

With hypotenuse: 2

Base: 2/2 = 1

Using pythagoras theorem

2² = 1² + h²

h² = 3

h = sqrt(3)

h = 1.732050808

Vesnalui [34]3 years ago
6 0

Step-by-step explanation:

<u>Step 1:  Make two same right triangles</u>

If we split the equilateral triangle in half, that will give us a hypotenuse of 2 and a leg that is 1.  Use the Pythagorean Theorem to find the height/second leg.

(1)^2 + b^2 = (2)^2

1 + b^2 = 4

b^2 = 3

b = \sqrt{3}

b = 1.732...

Answer:  Option B, 1.7 in

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The function C(x)=17.5x-10 represents the cost (in dollars) of buying x tickets to the orchestra with a $10 coupon. How much doe
Rudiy27

Answer:

8 tickets

Step-by-step explanation:

x = 10 in the given equation.

We have then:

C (x) = 17.5x - 10

C (10) = 17.5 * (10) - 10

C (10) = 165

Answer:

to buy 10 tickets cost:

$ 165

b. How many tickets can you buy with $ 130?  

For this case we must make the substitution: C (x) = 130

We have then:

C (x) = 17.5x - 10

130 = 17.5x - 10

Clearing x we have:

17.5x = 130 + 10

17.5x = 140

x = (140) / (17.5)

x = 8

Answer:

You can buy 8 tickets with $ 130

5 0
3 years ago
Sorry for the bother help plz
Zepler [3.9K]

(6a^2)^3

6^3(a^2)^3

216(a^2)^3

216a^6

Answer: 216a^6

3 0
3 years ago
Read 2 more answers
The sum of a number times 8 and 21 is less than -16.
vodka [1.7K]

Hello.

First of all, let the number be t.

8 times t can be written like this:

\mathrm{8t}

Notice that the number is before the variable and the times sign (×) is not there.

We can write it as 8×t, but we usually write it as 8t.

The sum of means we add:

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Now, "less than" is "<" :

\mathrm{8t+21 < -16}

Therefore, the answer is

\mathrm{8t+21 < -16}

I hope it helps.

Have a nice day.

\boxed{imperturbability}

7 0
2 years ago
Using numbers, variables and symbols, write an expression that describes the following The product of 5 and n, minus the quotien
slavikrds [6]

Answer:

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8 0
3 years ago
Angles L and M are supplementary. What is the sum of their measures? The sum of the measures of angles L and M is
Reil [10]
Supplementary angles will always add up to 180. If you had a straight line, and you drew another line across that line, the two angles on either side of that line would add up to 180 because a flat line is equal to 180 degrees.
3 0
3 years ago
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