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3 years ago

Kelby has several pets. She has B birds, C cats, and F frogs.

Mathematics

1 answer:

Delvig [45]3 years ago

6 0

The total number of cold blooded pets and C+F is cat and frog

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Simply (tan^2 x - sec^2 x)(sin^2 x + cos^2 x)

kati45 [8]

we can use pythagorean identieis

remember that $sin^2(x)+cos^2(x)=1$

also remember that $tan(x)=\frac{sin(x)}{cos{x}}$ and $sec(x)=\frac{1}{cos(x)}$

so if we take $sin^2(x)+cos^2(x)=1$ and divide both sides by $cos^2(x)$ we get

$\frac{sin^2(x)}{cos^2(x)}+\frac{cos^2(x)}{cos^2(x)}=\frac{1}{cos^2(x)}$

$(\frac{sin(x)}{cos(x)})^2+1=(\frac{1}{cos(x)})^2$

$tan^2(x)+1=sec^2(x)$

subtracting $1+sec^2(x)$ from both sides

$tan^2(x)-sec^2(x)=-1$

now subsitute into original problem

$\frac{tan^2(x)-sec^2(x)}{sin^2(x)+cos^2(x)}=$

$\frac{-1}{1}=$

$-1$

the answer is -1

6 0

3 years ago

All but two of the here amid’s built by the ancient Egyptians have faces inclined at 52° angles. Suppose an archaeologist discov

Ratling [72]

Consider the cross-sectional right triangle shown in the figure.

One of its sides is the height of the pyramid, with length H. The other side is half of the square base, so its length is 81 m. The hypotenuse of this triangle is the height of one of the faces.

By right triangle trigonometry,

$\displaystyle{ \tan52^o= \frac{H}{41 \ m }$ ,

thus,

$H=\tan52^o\cdot41 \ m=1.28 \cdot41 \ m=52 \ m$ .

Answer: C) 52 m

6 0

3 years ago

1 Mrs. Castro has 100 spoon and 80 forks if she put them in buckets what is the biggest number of spoon or forks that bucket wil

Yuri [45]

Answer:

Step-by-step explanation:

Here, we want to get the biggest number of spoon or forks that the bucket will have

What we have to do here is to simply find the greatest common factor of 100 and 80

Finding the greatest common factor of both will

give the biggest number of spoon or forks that the bucket will have

Mathematically, the greatest common factor of 80 and 100 is 10

3 0

3 years ago

An account earns annual simple interest. Interest earned: $84 principal:$600 interest rate:7% find the time ?

Helen [10]

Simple Interest , I = PRT/100

Where P = Principal, R = Rate, T = Time in years

Time, T = (100*I)/(P*R)

T = 100* 84 / (600 * 7) Use your calculator

T = 2

Time is 2 years.

3 0

4 years ago

Write the equation of a line parallel to the line y = 2x that passes through -2,-1

maksim [4K]

Answer:

y = 2x + 3

Step-by-step explanation:

A line parallel to y = 2x has exactly the same slope but a different y-intercept, b.

Start with y = mx + b, and replace m with 2, y with -1 and x with -2:

-1 = 2(-2) + b, or

-1 = -4 + b.

Then b = 3, and the desired equation is y = 2x + 3

7 0

3 years ago

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