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3 years ago

For cleaning the attic Jasmine was given $10.15. Now she has $23.43. How much money did she have before?

Mathematics

2 answers:

Oksi-84 [34.3K]3 years ago

5 0

Answer:

13.28

Step-by-step explanation:

Take the total amount she has and subtract what she just earned

23.43 - 10.15

13.28

This is what she had before she started cleaning

Katyanochek1 [597]3 years ago

4 0

Answer:

Step-by-step explanation:

23.43 - 10.15= 13.28 $

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3 years ago

Find the area of the shaded region in the graph y=x^2-2

Artist 52 [7]

By applying the concept of <em>definite</em> integral and the given restrictions, we conclude that the area of the <em>shaded</em> region in the graph is - 11/12.

<h3>How to find the area of the shaded region in the graph y = x² - 2</h3>

The area below the curve can be found by using <em>definite</em> integrals, which is defined here in this form:

$I = \int\limits^{1.5}_{0.5} {x^{2}-2} \, dx$ (1)

Now we proceed to calculate the area:

$I = \int\limits^{1.5}_{0.5} {x^{2}} \, dx - 2 \int\limits^{1.5}_{0.5}\, dx$

$I = \frac{x^{3}}{3}|_{0.5}^{1.5} - 2 \cdot x |_{0.5}^{1.5}$

$I = \frac{1.5^{3}-0.5^{3}}{3} - 2 \cdot (1.5 - 0.5)$

$I = -\frac{11}{12}$

By applying the concept of <em>definite</em> integral and the given restrictions, we conclude that the area of the <em>shaded</em> region in the graph is - 11/12.

<h3>Remark</h3>

The statement is incomplete. Complete form is shown below:

Find the area of the shaded region in the graph y = x² - 2, between x = 0.5 and x = 1.5

To learn more on definite integrals: brainly.com/question/14279102

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2 years ago

Given ABC=65 and BCD=105. Is it possible that Line AB intersects line CD

levacccp [35]

Given:

$m\angle ABC=65^\circ$

$m\angle BCD=105^\circ$

To find:

Whether it is possible that Line AB intersects line CD.

Solution:

We have,

$m\angle ABC=65^\circ$

$m\angle BCD=105^\circ$

The angles $m\angle ABC$ and $m\angle BCD$ are same sided interior angles.

If two lines are parallel and a transversal line intersect them, then the same sided interior angles are supplementary angles and their sum is 180 degrees.

$m\angle ABC+m\angle BCD=65^\circ+105^\circ$