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melisa1 [442]
3 years ago
10

An equiangular triangle has one side of length six inches. What is the height of the triangle, drawn from that side, to the near

est tenth of an inch?

Mathematics
1 answer:
tino4ka555 [31]3 years ago
5 0

Answer:

The height of the triangle is 5.2 inches

Step-by-step explanation:

we know that

An <u>equiangular triangle</u> is a triangle where all three interior angles are equal in measure

Remember that an equilateral triangle has three equal sides and three equal interior angles

so

An equiangular triangle Is the same that an equilateral triangle. The measure of its interior angles is equal to 60 degrees

Let

h ----> the height of triangle

b ---> the length side of the triangle

Applying Pythagoras Theorem

h^2=b^2-(b/2)^2

we have

b=6\ in

substitute

h^2=6^2-(6/2)^2

h^2=36-9

h^2=27

h=\sqrt{27}\ in

h=5.2\ in

see the attached figure to better understand the problem

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Answer:

(x-1)^2+(y+4)^2=9

Step-by-step explanation:

The equation of a circle is given by:

(x-h)^2+(y-k)^2=r^2

Where (h, k) is the center and r is the radius.

The center of the circle is (1, -4).

And the radius is 3.

Substitute:

(x-(1))^2+(y-(-4))^2=(3)^2

Simplify. Thus, our equation is:

(x-1)^2+(y+4)^2=9

3 0
3 years ago
A fruit vendor sells 60 pieces of fruit that are either apples or oranges. There are 12 more apples than oranges.
Hunter-Best [27]

Answer:

a. let x be the number of apples and let y be the number of oranges

x + y = 60

x = y + 12

b. Apples: 24 Oranges: 36

Step-by-step explanation:

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6 0
3 years ago
To steam rice, Paul uses m cups of water for every p
GenaCL600 [577]

Answer:

\frac{(p + 2)m}{p}

Step-by-step explanation:

Given

m cups of water = p cups of rice

Required

Cups of water required for p + 2 cups of rice

<em>The question shows a direct proportion between cups of rice and cups of water.</em>

<em>So, the first step is to get the proportionality constant (k)</em>

<em />

This is calculated using the following expression;

m = k * p

Where k represents cups of water and p represents cups of rice

Make k the subject of formula

k = \frac{m}{p}

Let x represents cups of water when cups of rice becomes p + 2;

k becomes:

k = \frac{x}{p + 2}

Equate both expressions of k; to give

\frac{m}{p} = \frac{x}{p + 2}

Multiply both sides by p + 2

(p + 2) * \frac{m}{p} =(p + 2) *  \frac{x}{p + 2}

(p + 2) * \frac{m}{p} =x

x = (p + 2) * \frac{m}{p}

x =  \frac{(p + 2)m}{p}

<em>Hence, the expression that represents the cups of water needed is </em>\frac{(p + 2)m}{p}<em></em>

4 0
3 years ago
I will give the BRAINIEST!!! Please help!!
kap26 [50]

Answer: B. y-1=2(x-3)

Step-by-step explanation:

First subtract both sides by 2x so it becomes -y=-2x-1

Second divide both sides by -1 so it becomes y=2x+1

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7 0
3 years ago
3x + 2.5 = 6.1 What is x ?
Natalija [7]

Answer:x=1.2

Step-by-step explanation:

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3x=3.6

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