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3 years ago

3 Xavier sketches several designs for a math club

Mathematics

1 answer:

adelina 88 [10]3 years ago

7 0

Answer:

D ...

Step-by-step explanation:

Use the Pythagorean Theorem to figure out which triangle is NOT a right triangle. Square each leg and add them together. Then, square the hypotenuse (longest side). If the sums are equal, then the triangle IS a right triangle.

Pythagorean Theorem:

a(a) + b(b) = c(c) ; a squared plus b squared equals c squared

6(6) + 24(24) =? 26(26) ; leg a =6, leg b=24, hypotenuse=26

36 + 576 =? 676 ; simplify

612 =? 676 ; is 612 equal to 676?

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Gopi paid 25% of his salary as tax and spent of his salary on groceries. The remaining amount of Rs.2500 was his savings. Find h

Lesechka [4]

Answer:

his salary is rs 6000 & his tax amount is rs 1500 :)

3 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Cint%20%7Btan%7D%5E%7B3%7D%20x%20%5C%3A%20dx" id="TexFormula1" title=" \int {tan}^{3} x \

r-ruslan [8.4K]

Answer:

$\frac{ {tan}^{2} x}{2} + \ln( |cos \: x| ) + C$

Step-by-step explanation:

$\int {tan}^{3} x \: dx$

$\int \: tan \: x \times {tan}^{2} x \: dx$

$\int \: tan \: x( {sec}^{2} x - 1) \: dx$

distribute

$\int \: tan \: x \: {sec}^{2} x - tan \: x \: dx$

$\int \: tan \: x \: {sec}^{2} x \: dx \: - \int \: tan \: x \: dx$

$\int \: tan \: x \: {sec}^{2} x \: dx \: - \int \frac{sin \: x}{cos \: x} \: dx$

First integrand

let tan x = u

du = sec²x dx

Second integrand

let cos x = z

dz = -sin x dx

$= \int u \: du \: - \int - \frac{1}{z} dz$

$= \frac{ {u}^{2} }{2} + \ln( |z| ) + C$

$= \color{red}{ \boxed{ \frac{ {tan}^{2} x}{2} + \ln( |cos \: x| ) + C}}$

7 0

3 years ago

The number of lawns the workers in Angelo’s company have mowed in the first 6 weeks of the summer is 31, 24, 32, 28, 29, and 36.

maria [59]

Answer: MAD= 3

Step-by-step explanation:

Find the mean of the data set

31+24+32+28+29+36/6= 30

subtract EACH data by the mean, find the absolute value of the answer

31-30= 1 (absolute value)

24-30= 6 (absolute value)

32-30= 2 (absolute value)

28-30= 2 (absolute value)

29-30= 1 (absolute value)

36-30= 6 (absolute value)

Now find the mean of the values

1+6+2+2+1+6/6=3

MAD=3

5 0

4 years ago

Midpoint between 105 and 115

Black_prince [1.1K]

Answer:

110

Step-by-step explanation:

Subtract the greater value (115) by the smaller value (105) and this gives you the answer 10. So the distance between the two values is 10. Divide this by 2 to find the midpoint, and you get 5. You can either add 5 to the smaller value, or subtract 5 from the bigger value, either way you would get the answer of 110.

5 0

4 years ago

Read 2 more answers

A scatter Plot was made to show the number of homes in a town based on the year. The line of best fit drawn on the graph is y =

jekas [21]

Answer:

y = 2,305 homes

Step-by-step explanation:

2015-1995 = 20

84*20 = 1,680

1,680 + 625 = 2,305

Therefore, there were 2,305 homes in the town in 2015.

4 0

4 years ago