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3 years ago

Help please ASAP !!!

Mathematics

1 answer:

Arisa [49]3 years ago

3 0

For this case we have that by definition of trigonometric relations of rectangular triangles, that the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. So:

$Sin (45) = \frac {leg} {h}$

Where h is the hypotenuse.

$\frac {\sqrt {2}} {2} = \frac {leg} {h}$

We cleared h:

$h = \frac {2leg} {\sqrt {2}}$

We rationalize:

$h = \frac {2leg} {\sqrt {2}} * \frac {\sqrt {2}} {\sqrt {2}}\\h = \frac {2 \sqrt {2} * leg} {2}\\h = \sqrt {2} * leg$

ANswer:

Option A

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73. If R, S, and T are integers and R + S and

Vlad [161]

R+S is odd==>R+S=2n+1 (1)
T-S is odd ==>T-S=2k+1 (2)
(1)+(2)==>R+T+S-S=2n+1+2k+1
==>R+T=2(n+k+1) is even

Answer A

3 0

4 years ago

May anyone help me please and thank you so much !

Novay_Z [31]

Answer:

16 m

Step-by-step explanation:

The situation can be solved by proportion of corresponding sides in 2 right triangles.

let x be the length of shadow cast by oak tree, then

$\frac{9}{12}$ = $\frac{12}{x}$ ( cross- multiply )

9x = 144 ( divide both sides by 9 )

x = 16

Length of shadow is 16 m

8 0

3 years ago

Larry is considering taking out a loan. He estimates that he can afford monthly payments of $265 for 10 years in order to suppor

spayn [35]

Answer:

option-C

option-D

Step-by-step explanation:

we are given

He estimates that he can afford monthly payments of $265 for 10 years in order to support his loan

so, firstly we will find total amount

$A=265\times 12\times 10$

$A=31800$

now, we can verify each options

option-A:

r=6.6% =0.066

Amount is same

$A=31800$

now, we can use APR formula

$A=P(1+\frac{r}{n})^{nt}$

It is compounded monthly

so, n=12

we can plug it and then we can solve for P

$31800=P(1+\frac{0.066}{12})^{12\times 10}$

$P=16465.6215$

we can see that it is less than 24418.05

So, this is FALSE

option-B:

r=6.2% =0.062

Amount is same

$A=31800$

now, we can use APR formula

$A=P(1+\frac{r}{n})^{nt}$

It is compounded monthly

so, n=12

we can plug it and then we can solve for P

$31800=P(1+\frac{0.062}{12})^{12\times 10}$

$P=17133.96$

we can see that it is less than 24418.05

So, this is FALSE

option-C:

r=5.2% =0.052

Amount is same

$A=31800$

now, we can use APR formula

$A=P(1+\frac{r}{n})^{nt}$

It is compounded monthly

so, n=12

we can plug it and then we can solve for P

$31800=P(1+\frac{0.052}{12})^{12\times 10}$

$P=18927.00451$

we can see that it is less than 24418.05

So, this is TRUE

option-D:

r=5.8% =0.058

Amount is same

$A=31800$

now, we can use APR formula

$A=P(1+\frac{r}{n})^{nt}$

It is compounded monthly

so, n=12

we can plug it and then we can solve for P

$31800=P(1+\frac{0.058}{12})^{12\times 10}$

$P=17829.66$

we can see that it is less than 24418.05

So, this is TRUE

4 0

3 years ago

Read 2 more answers

Nelson is going on an overnight family reunion camping trip. He is in

SIZIF [17.4K]

Answer:

216 logs

Step-by-step explanation:

Since there is 24 hours in a day, and they are staying for 2 nights, which is three days, the total amount of hours would be 72 hours. So you would write it like this:

l = the number of logs needed

l = (3)(72)

l = 216

plz mark brainliest ty

6 0

3 years ago

Read 2 more answers

Find the acute angles between the curves at their points of intersection. (The angle between two curves is the angle between the

Svetradugi [14.3K]

Answer:

Step-by-step explanation:

Given that there are two curves