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Lera25 [3.4K]
3 years ago
15

What is the value of the expression -78-a, when a= -29?

Mathematics
2 answers:
kherson [118]3 years ago
6 0

Hey there!

-78 - a

= -78 - (-29)

= -78 + 29

= -49

Therefore, your answer is: -49

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Lady bird [3.3K]3 years ago
3 0
ANSWER:
-78-a
= -78-(-29)
= -78+29
= -49
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Circle A has a diameter of approximately 20 inches and an area of approximately 300 in2.
Katena32 [7]

Answer:

4. About 2,700 in2

Step-by-step explanation:

The area of a circle (A), measured in square inches, is directly proportional to the square of its diameter (d), measured in inches. That is:

A \propto d^{2}

A = k\cdot d^{2}

Where k is the constant of proportionality, dimensionless.

In consequence, the following relationship between circles A and B is obtained:

\frac{A_{B}}{A_{A}} = \frac{d_{B}^{2}}{d_{A}^{2}}

The area of the circle B is now cleared:

A_{B} =\left(\frac{d_{B}}{d_{A}} \right)^{2}\cdot A_{A}

Given that d_{A} = 20\,in, d_{B} = 60\,in and A_{A} = 300\,in^{2}, then:

A_{B} = \left(\frac{60\,in}{20\,in} \right)^{2}\cdot (300\,in^{2})

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Therefore, the correct answer is 4.

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3 years ago
I need help on it, I don’t know what I’m supposed to do
bogdanovich [222]

Answer:

The length of river frontage for each lot are 96.55 ft. 98.85 ft, 101.15 ft and 103.45 ft.

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See the attached diagram.

The river frontage of 400 ft will be divided into 84 : 86 : 88 : 90 for each lot as AP, BQ, CR, DS and ET all are parallel.

Therefore, PQ : QR : RS : ST = 84 : 86 : 88 : 90 = 42 : 43 : 44 : 45

Let, PQ = 42x, QR = 43x, RS = 44x and ST = 45x

So, (42x + 43x + 44x + 45x) = 400

⇒ 175x = 400

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6 0
3 years ago
I need help with this Maths Homework Question.
Monica [59]

Answer:

1. 41/45.

2. x/(x^2+3x+6)

Step-by-step explanation:

1.

So first we fill the ven diagram.

There are 240 in band, so we fill that. 60 students are in both, we put that in the middle, and there are 110 people in choir.

now, since we want the probability that a student is chosen that is in band, and choir, and both. We add all this up

240 + 60 + 110 = 410.

The total possible outcome is 410, and the total outcome is 450, so the answer is

410/450 = 41/45

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First, to get the total outcomes, we have to add all the expressions together.

x(x-2) + x + 2x+8 = x^2 - 2 + x + 2x + 8 = x^2 - 2 + 3x + 8 = x^2 + 3x + 6.

Since that is the total outcome, we have to find the possible outcomes.

The problem wants BOTH from the 20th century and British, so it is x.

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3 0
2 years ago
The tallest tree in the world is reputed to be a giant redwood named Hyperion located in Redwood National Park in California, US
dlinn [17]

Answer:

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Step-by-step explanation:

The information you're given about the tree will form a triangle, with the three corners being the top of the tree, the point where the tree meets the ground, and the specified point 41.5 meters from the tree. The angle of elevation (70°) is the angle made where the line representing the ground and the line connecting the top of the tree to the ground at the specified point connect.

The angle where the tree meets the ground is 90°, so the triangle a right triangle.

So this all means you know one angle of a right triangle (70°) and the side adjacent to this angle (41.5 meters). You're solving for the height of the tree, which is the side opposite of the angle you know. You can solve using either <em>Sine, Cosine, </em>or <em>Tangent.</em>

Use the acronym SOHCAHTOA to figure out which of those three functions to use. Feel free to look this up for more information if you haven't heard of it before. In this case, we're using Tangent (TOA = Tangent, Opposite side, Adjacent side)

To solve using any of those three functions, you'll need a scientific calculator. On your calculator, you'll see the buttons <em>SIN, COS, </em>and<em>TAN.</em> For this problem, press <em>TAN</em> and you'll see something appear that says <em>tan (___)</em>. You'll need to input a number to get your answer, and here's how to find that number:

Again referencing SOHCAHTOA, the "TOA" part lists Opposite first and then Adjacent. This is because you're going to write a fraction with those two numbers, and since Opposite is first, it's the numerator. That means that Adjacent is the denominator. We don't know the value of the opposite side, so it'll be represented by <em>x</em>, and we do know the value of the adjacent side, 41.5. This means the fraction is \frac{x}{41.5} .

This isn't the number to input into the calculator -- you need to isolate the variable:

The original equation is:

tan 70 = x/41.5

Multiply both sides by 41.5 (To cancel out the denominator and isolate <em>x</em>)

tan 70 (41.5) = x

Now you've got the equation for <em>x, </em>you're ready to put this in your calculator.

What appeared on your calculator was:

tan(__)

Input like follows:

(tan(70))41.5

The brackets are needed like that so the calculator knows to multiply the entire thing by 41.5. You might get a wrong answer otherwise.

Hit enter, and you'l get the height of the tree:

114.02 meters

5 0
3 years ago
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