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ludmilkaskok [199]

3 years ago

11

A sixth- grade math teacher can grade 25 homework assignments in 20 minutes. Is he working at a faster rate or slower rate than

grading 36 homework assignments in 30 minutes?
( comparing rates)

1 answer:

Akimi4 [234]3 years ago

5 0

Answer:

faster

Step-by-step explanation:

25 in 20 minutes is 25/20 = 1.25 per minute

36 in 30 minutes is 36/30 = 1.20 per minute

The first rate is faster.

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An object has a mass of 250g. What is the gravitational force of on object by the earth.

antiseptic1488 [7]

0.25kgx9.81 then u will get the ans.

4 0

2 years ago

If a tree 28 meters tall casts a shadow 32 meters long, what is the angle of elevation of the sun to the nearest degree?

avanturin [10]

Since we need an angle measure we have to use an inverse trig ratio, sin^-1, cos^-1, or tan^-1.
Setting up the right triangle we have the opposite and adjacent so we use tan.
tan angle = 28/32
tan^-1 (28/32) = 41 degrees

4 0

2 years ago

Which is the equation of a hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0)? y squared over 40 minus x square

N76 [4]

The equation of the hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0) is $\frac{x^2}{10} + \frac{y^2}{15} = 1$

<h3>How to determine the equation of the hyperbola?</h3>

The given parameters are:

Directrices at x = ±2
Foci at (5, 0) and (−5, 0)

The foci of a hyperbola are represented as:

Foci = (k ± c, h)

The center is:

Center = (h,k)

And the directrix is:

Directrix, x = h ± a²/c

By comparison, we have:

k ± c = ±5

h = 0

h ± a²/c = ±2

Substitute h = 0 in h ± a²/c = ±2

0 ± a²/c = ±2

This gives

a²/c = 2

Multiply both sides by c

a² = 2c

k ± c = ±5 means that:

k ± c = 0 ± 5

By comparison, we have:

k = 0 and c = 5

Substitute c = 5 in a² = 2c

a² = 2 * 5

a² = 10

Next, we calculate b using:

b² = c² - a²

This gives

b² = 5² - 10

Evaluate

b² = 15

The hyperbola is represented as:

$\frac{(x - k)^2}{a^2} + \frac{(y - h)^2}{b^2} = 1$

So, we have:

$\frac{(x - 0)^2}{10} + \frac{(y - 0)^2}{15} = 1$

Evaluate

$\frac{x^2}{10} + \frac{y^2}{15} = 1$

Hence, the equation of the hyperbola is $\frac{x^2}{10} + \frac{y^2}{15} = 1$

Read more about hyperbola at:

brainly.com/question/3405939

#SPJ1

6 0

1 year ago

the annual interest rate on a credit card is 14.99% . If the minimum payment of 40$ is made each month, how many months will it

zmey [24]

Answer:

Let's try and figure it out yearly:

So for the first year the deposits would amount to 40 * 12 = $480

Now since the interest rate is applied yearly we will assume that the interest rate will be applicable to the amount that is left after the first year of deposits

So that would be 889.98 - 480 = 409.98

409.98 * 14.99 % = 61.45

The new amount owed for the second year would be 409.98 + 61.45 = 471.43

So by the end of the second year the debt would of been wiped clean with $8.57 to spare.

So the answer would be 24 months

Step-by-step explanation:

6 0

2 years ago

Given the diameter of a circle is 17 1/2cm, find its area. (use π=22/7)

Leokris [45]

Step-by-step explanation:

a

$area \: of \: circle = \pi{r}^{2} \\ = 22 \div 7{ \times (35 \div 2)}^{2} \\ = 3.14 \times 306.25 \\ = 961.625 {cm}^{2}$

<h2>hope it helps.</h2><h2>stay safe healthy and happy...</h2>

6 0

2 years ago