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4 years ago

How do i rewrite 1/4 : 1/3 as a unite rate

Mathematics

1 answer:

STatiana [176]4 years ago

8 0

Given:

The ratio is

$\dfrac{1}{4}:\dfrac{1}{3}$

To find:

The given ratio as unit rate.

Solution:

We have,

$\dfrac{1}{4}:\dfrac{1}{3}$

Fraction form of given ratio is

$\dfrac{1}{4}:\dfrac{1}{3}=\dfrac{\dfrac{1}{4}}{\dfrac{1}{3}}$

$\dfrac{1}{4}:\dfrac{1}{3}=\dfrac{1}{4}\times \dfrac{3}{1}$

$\dfrac{1}{4}:\dfrac{1}{3}=\dfrac{3}{4}$

$\dfrac{1}{4}:\dfrac{1}{3}=0.75$

Therefore, the unit rate of the given ratio is 0.75.

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Can someone please explain to me how they got 44 degrees??

prisoha [69]

Answer:

Sine rule states that the ratio of a side of a triangle to the angle opposite the side is equivalent for all 3 sides and their respective opposite angles.

$\boxed{ \frac{sinA}{a} = \frac{sinB}{b} = \frac{sinC}{c} }$

Thus, the side opposite ∠B is side AC, which is 10 units long. The side opposite ∠A is side BC, which is 8 units long. Substitute these values into the formula. (We are at line 2 of working)

Line 3: multiply both sides by 10 to find sinB

This would give us

$sinB = \frac{10sin34°}{8}$

This is can also be written as: (as seen in line 4)

$sinB = \frac{10}{8}( sin34°)$

To find the measure of angle B:

$m∠B = sin^{ - 1} ( \frac{10sin34°}{8} ) \\ m∠B = 44° \\ (nearest \: degree)$

<em>~ Explanation for line 6 and onwards~</em>

The sine of an angle is positive in quadrants I and II. Since sinB is positive (≈0.69899), we are looking at these 2 quadrants. Since the reference angle is 44° rounded off to the nearest whole degree, in quadrant I, the angle would be 44° too.

In quadrant 2, the angle would be 180° -44°= 136°.

6 0

3 years ago

If the graph of the function f defined by f(x)= −2x^2+1 is translated vertically downward by 3 units, it becomes the graph of a

Katena32 [7]

Answer:

h(x) = -2x^2 -2

Step-by-step explanation:

You know that translating the point (a, b) vertically downward by 3 units will make it be the point (a, b-3).

The same translation works on the point (x, f(x)), or when a=x and b=f(x). Translated downward by 3 units, the point becomes ...

(x, f(x) -3)

You want to name this (x, h(x)), so we have ...

h(x) = f(x) -3

h(x) = -2x^2 +1 -3 . . . substitute the expression for f(x)

h(x) = -2x^2 -2 . . . . . simplify

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4 years ago

A population of 50 timber wolves was introduced into a forest in 2009. The population is expected to grow by the function p(t)=5

Viktor [21]

Answer:

the population in 2015 is 8201.0695

Step-by-step explanation:

Given that

There is a population of the 50 timber wolves

And, the exponential function given is

p(t) = 50 × e^(0.85 × t)

Here t denotes the time period i.e.

= 2015 - 2009

= 6

So,

= 50 × e^(0.85 × 6)

= 8201.095

Hence, the population in 2015 is 8201.0695

8 0

3 years ago

The area of a rectangular pool is given by the trinomial 2y^2-y-3. What are the possible dimensions of the pool? Use factoring.

RSB [31]

Answer:

(2y−3)(y+1) hope this helps!

7 0

3 years ago

It takes Adi 2 hours to drive from home to her office and 3 hours if she drives 15 mph slower. What is the distance between Adi'

Solnce55 [7]

Answer:

90 miles

Step-by-step explanation:

Let ori. speed = z

distance = speed × time

= z × 2

= 2z miles

distance = (z - 15) × 3

= (3z - 45)miles

2z = 3z - 45

z = 45mph

distance = 45 × 2

= 90 miles

distance = (45-15) × 3

= 90 miles

(Correct me if i am wrong)

8 0

3 years ago