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SVEN [57.7K]
3 years ago
8

A sail is in the form of a right triangle that is three times as high as it is wide. The sail is made from 24 square meters of m

aterial. WHAT IS ITS HEIGHT???
Remember...a=1/2bh
Mathematics
2 answers:
SIZIF [17.4K]3 years ago
6 0

Answer:

12

Step-by-step explanation:

cause 10+2

spin [16.1K]3 years ago
3 0
The area of a triangle as stated above is calculated through the equation, A = ab/2 where a and b are altitude and base, respectively. From the condition given above, a = 3b. The area is therefore,
                              A = 24 m² = (3b)(b) / 2
The value of b is equal to 4 which gives height equal to 12 m. 
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Use the property of exponents to rewrite the expression<br> (-4qr)(-4qr)(-4qr)(-4qr)
ivanzaharov [21]

Answer:

(-4qr)^4

Step-by-step explanation:

(-4qr)(-4qr)(-4qr)(-4qr)

There are 4 sets of -4qr being multiplied together

(-4qr)^4

5 0
3 years ago
A 6 inch personal pizza has 640 calories, with 240 of those from fat. A 12 inch pizza is cutinto 8 slices. Estimate the number o
MissTica

Given:

Number calories in a 6-inch pizza = 640 calories

For the pizza of 6 inch

A=\pi(3)^2=9\pi

For the pizza of 12 inch

A=\pi(6)^2=36\pi

Number calories in a 6-inch pizza = 640 calories, therefore:

\frac{A_{6\text{ inch}}}{A_{12\text{ inch}}}=\frac{640}{x}

Substitute:

\begin{gathered} \frac{9\pi}{36\pi}=\frac{640}{x} \\ Simplify \\ \frac{1}{4}=\frac{640}{x} \end{gathered}

And solve for x:

\begin{gathered} 1\cdot x=4\cdot640 \\ x=2560 \end{gathered}

Now, Estimate the number of calories in one slice of a 12 inch pizza:

\frac{2560}{8}=320

Answer: 320 calories

4 0
1 year ago
Dawn and abed each roll a standard die obtaining a random number from 1 to 6. if the probability that dawns number is larger tha
larisa [96]

Answer:

a+b = 12

Step-by-step explanation:

There are 36 possible outcomes for rolling two dice. Let A be the number rolled by Abed and D be the number rolled by Dawn. The sample space, in the format [A,D], of all of the possibilities in which Dawn's number is larger is:

[5,6]

[4,5] [4,6]

[3.4] [3,5] [3.6]

[2,3] [2.4] [2,5] [2.6]

[1,2] [1,3] [1.4] [1,5] [1.6]

There are 15 ways out of 36 possible ways of Dawn getting the higher number. In the simplest form:

\frac{15}{36}=\frac{5}{12}=\frac{a}{b}\\ a+b = 5+12 = 17

7 0
3 years ago
Which equation represents a proportional relationship?
asambeis [7]

Given:

Four equations in the options.

To find:

The equation which represents a proportional relationship.

Solution:

If y is proportional to x, then

y\propto x

y=kx

where, k is the constant of proportionality.

In this case if x=0, then y=0. It means the graph of a proportional relationship passes through the origin.

From the given options, only option B, i.e., y=\dfrac{1}{4}x, is of the y=kx, where, k=\dfrac{1}{4}.

So, the equation y=\dfrac{1}{4}x represents a proportional relationship.

Therefore, the correct option is B.

6 0
2 years ago
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W
Travka [436]

Complete question:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?

A) segment a double prime b double prime = segment ab over 2

B) segment ab = segment a double prime b double prime over 2

C) segment ab over segment a double prime b double prime = one half

D) segment a double prime b double prime over segment ab = 2

Answer:

A) segment a double prime b double prime = segment ab over 2.

It can be rewritten as:

A"B" = \frac{AB}{2}

Step-by-step explanation:

Here, we are given triangle A″B″C which was formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin.

We know segment A"B" equals segment AB multiplied by the scale factor.

A"B" = AB * s.f.

Since we are given a scale factor of ½

Therefore,

A"B" = AB * \frac{1}{2}

A"B" = \frac{AB}{2}

The equation that explains the relationship between segment AB and segment A"B" is

A"B" = \frac{AB}{2}

Option A is correct

5 0
2 years ago
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