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3 years ago

A blueprint has a scale of 2 inches = 2 feet. What is the scale factor of the blueprint?

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

3 0

1 in = 1 ft

there are 12 inches in a foot...

you could say that 1 inch = 12 inches, or that the scale is 1:12

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Ship A receives a distress signal from the southwest, and ship B receives a distress from the same vessel from the north. At wha

Fiesta28 [93]

I've attached an image showing the coordinates of Ship A and Ship B.

Answer:

distressed vessel is located at (1, 1.5)

Step-by-step explanation:

From the image attached, we can see that;

Coordinate of ship A is (3, 4)

Coordinate of ship B is (1, 1)

Now, we are told that Ship A receives a distress signal from the southwest, and ship B receives a distress from the same vessel from the north.

This means that the distressed ship is somewhere in between ship A & B.

To solve this, we will extend the arrow line from Ship A in that same SW direction and we will do the same for ship B in the same North direction. Their point of intersection is where the distressed ship is located.

Now, if we do that, we will see that they will intersect at the point; (1, 1.5)

Thus,distressed vessel is located at (1, 1.5)

5 0

4 years ago

Please solve and show steps

ladessa [460]

Answer:

Step-by-step explanation:

There are 6 solutions or zeros here because, according to the Fundamental Theorem of Algebra, the degree of the polynomial dictates how many zeros there are in the polynomial. If we had a 3rd degree polynomial, we would expect to find 3 zeros; if we had a 5th degree polynomial, we would have 5 zeros, etc. The easiest way to factor this is to do it initially by grouping:

$(4x^6+20x^4)-(25x^2-125)$ then

$4x^4(x^2+5)-25(x^2+5)$ then

$(x^2+5)(4x^4-25)=0$

We will factor each set of parenthesis now to get all the zeros. For the first set of parenthesis:

$x^2+5=0$ so

$x^2=-5$ so

$x=\sqrt{-5}$

But since we can't have a negative under the square root, we have to offset it by using the imaginary number i. i-squared = -1, so

x = ±i√5

Those are the first 2 zeros out of 6. Now for the second set of parenthesis:

4x⁴ - 25 = 0. That is the difference between perfect squares, and that factors to this:

(2x² + 5)(2x² - 5)

The first set of parenthesis there:

2x² + 5 = 0 so

2x² = -5 so

x² = -5/2 so

x = ± $\sqrt{\frac{5}{2} }i$

Those are the next 2 zeros. We found 4 so far, now we will find the last 2 in the second set of parenthesis above:

$x^2-5=0$ so

$x^2=5$ so

x = ± $\sqrt{\frac{5}{2} }$

In summary, the 6 zeros are as follows:

x = $\sqrt{5}i$ , - $\sqrt{5}i$ , $\sqrt{\frac{5}{2} }i$ , $-\sqrt{\frac{5}{2} }i$ , $\sqrt{\frac{5}{2} }$ , $-\sqrt{\frac{5}{2} }$

3 0

3 years ago

Choose the correct ordering, from greatest to least, of the numbers below. L). 0.65 M) 640.23 N) 19.455 0) 6.682 P) 63.08

Neporo4naja [7]

Answer:

640.23. 63.08. 19.455. 6.682. 0.65

Step-by-step explanation:

if you look at the whole number you can see which is greater and which is less, if you still can't figure it out then, look at the tenths then hundredths and finally thousandths

6 0

3 years ago

Heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp

Rus_ich [418]

Answer:

25.5 degrees

Step-by-step explanation:

Let the first angle be x degrees, and second angle be y degrees.

<u>Condition # 1:</u>

x = 5y - 13 --------------------(1)

<u>Condition # 2:</u>

x + y = 140 -------------------(2)

Put Eq. (1) in (2)

5y - 13 + y = 140

5y + y - 13 = 140

6y - 13 = 140

Add 13 to both sides

6y = 140 + 13

6y = 153

Divide both sides by 6

y = 25.5 degrees

Now, put the value of y in Eq. (1)

x = 5(25.5) - 13

x = 127.5 - 13

x = 114.5 degrees

<u>So, the measure of smaller angle is:</u>

= 25.5 degrees

$\rule[225]{225}{2}$

Hope this helped!

4 0

3 years ago

IM DIEING PLEASE HELP ME FOR BRAINLIEST

Helga [31]

Answer:

Step-by-step explanation:

y= 9,800 x 2 ^x = 1,254,400

Just substitute x for 7

y= 9800 x 2 ^7 = 1,254,400

8 0

3 years ago