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3 years ago

Which equation represents a proportional relationship between the x and y values a) y+4=3x b) y-3x=0 c) y+5x=6 d) y+1/4x=2

Mathematics

1 answer:

stich3 [128]3 years ago

5 0

Answer: B

Option is B) y-3x=0 represents a proportional relationship between the x and y values

Explanation:

Case 1 = y+4=3x

From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 4 .

Case 2: y-3x=0

From the above equation we can see that if we change the value of x, the value of y changes by proportionality.

Hence the correct option is B.

Case 3 = y+5x=6

From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 6.

Case 4 = y+1/4×x=2

From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 2.

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the angle of elevation from a viewer to the top of a flagpole is 50°. the viewer is 40 ft away and the viewers eyes are 5.5 ft f

Margarita [4]

Answer:

53.2 feet

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

$tan(50^o)=\frac{AC}{BC}$ -----> by TOA (opposite side divided by the adjacent side)

substitute the values

$tan(50^o)=\frac{h}{40}$

solve for h

$h=(40)tan(50^o)$

$h=47.7\ ft$

therefore

The height of the pole is

$h+5.5=47.7+5.5=53.2\ ft$

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3 years ago

Translate the following into an algebraic expression: The number that is 40% more than five more than a number a.

cricket20 [7]

Answer:

The translation would be

X = 40% + 5 + A

Step-by-step explanation:

First, translate the words, is, more than and 'the number'.

Is means equals (=).

More Than means plus (+).

'the number' can be x.

Now, put it together.

X(The Number) =(Is) 40% +(more than) 5 +(more than) A(a number)

I hope this helps!!

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4 years ago

A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The comp

Hitman42 [59]

The answer would be A.

6 0

3 years ago

Read 2 more answers

Which addition problems could be solved by adding 40+15?

Marysya12 [62]

Answer:

Total amount of fruits

40 apples and 15 oranges

Step-by-step explanation:

Is there answer choices? Without context I will suggest

Total amount of fruits

40 apples and 15 oranges

Anything with 40 being added to an amount of 15 to get a total of 55

7 0

3 years ago

I don’t understand what this question is asking for

Elden [556K]

Answer:

(d) m∠AEB = m∠ADB

Step-by-step explanation:

The question is asking you to compare the measures of two inscribed angles. Each of the inscribed angles intercepts the circle at points A and B, which are the endpoints of a diameter.

<h3>applicable relations</h3>

Several relations are involved here.

The measures of the arcs of a circle total 360°
A diameter cuts a circle into two congruent semicircles
The measure of an inscribed angle is half the measure of the arc it intercepts

<h3>application</h3>

In the attached diagram, we have shown inscribed angle ADB in blue. The semicircular arc it intercepts is also shown in blue. A semicircle is half a circle, so its arc measure is half of 360°. Arc AEB is 180°. That means inscribed angle ADB measures half of 180°, or 90°. (It is shown as a right angle on the diagram.)

If Brenda draws angle AEB, it would look like the angle shown in red on the diagram. It intercepts semicircular arc ADB, which has a measure of 180°. So, angle AEB will be half that, or 180°/2 = 90°.

The question is asking you to recognize that ∠ADB = 90° and ∠AEB = 90° have the same measure.

m∠AEB = m∠ADB

_____

<em>Additional comment</em>

Every angle inscribed in a semicircle is a right angle. The center of the semicircle is the midpoint of the hypotenuse of the right triangle. This fact turns out to be useful in many ways.

7 0

2 years ago