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3 years ago

Help me please i’ll give points !!

Mathematics

1 answer:

Keith_Richards [23]3 years ago

6 0

Answer:

Slope of PV = -4

Step-by-step explanation:

Coordinates of the vertices of the given triangle PSV,

P → (2, 4)

S → (3, 4)

V → (3, 0)

Slope of the segment between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

Slope = $\frac{y_2-y_1}{x_2-x_1}$

Therefore, slope of segment PV will be,

Slope = $\frac{4-0}{2-3}$

= -4

Slope of PV = -4

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Francesca and Will want to find out if the triangle formed by connecting the points G, H, and I is a right triangle.

Brrunno [24]

Answer:

Only Francesca is correct

Step-by-step explanation:

I just did it

6 0

3 years ago

Country A has a growth rate of 4.9% per year. The population is currently 4 comma 151,000, and the land area of Country A is 1

kvv77 [185]

Answer:

There will be one person on 1 square yard of land after 1,892,147.588 years.

Step-by-step explanation:

Continuous exponential growth formula:

$P(t)=Pe^{rt}$

P(t)= Population after t years.

P= Initial population

r=rate of growth.

t= time in year

Given that,

Growth rate of country A (r)= 4.9% per year=0.049 per year.

Initial population (P)= 151,000.

Land area of country area= 14,000,000,000 square yards.

There will be one person on one square yard of land.

So, there will be 14,000,000,000 person for 14,000,000,000 square yard of land in country A.

P(t)=14,000,000,000 person

$\therefore 14,000,000,000= 151,000 e^{0.049t}$

$\Rightarrow e^{0.049t}=\frac{ 14,000,000,000}{ 151,000}$

Taking ln both sides

$\Rightarrow ln|e^{0.049t}|=ln|\frac{ 14,000,000,000}{ 151,000}|$

$\Rightarrow {0.049t}=ln|\frac{ 14,000,000,000}{ 151,000}|$

$\Rightarrow t}=\frac{ln|\frac{ 14,000,000,000}{ 151,000}|}{0.049}$

$\Rightarrow t}=1,892,147.588$ years

There will be one person for every square yard of land after 1,892,147.588 years.

7 0

3 years ago

True or false: the equation tan^2x+1=sec^2x

zhenek [66]

ANSWER

True

EXPLANATION

The given trigonometric equation is:

${ \tan}^{2} x + 1 = { \sec}^{2} x$

We take the LHS and simplify to arrive at the RHS.

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

Collect LCM on the right hand side to get;

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

This implies that

${ \tan}^{2} x + 1 = \frac{1}{{ \cos}^{2} x} .$

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

${ \tan}^{2} x + 1 = { \sec}^{2} x$

This identity has been verified .Therefore the correct answer is true.

3 0

2 years ago

ANSWER ASAP PLEASE RIGHT ANSWER GETS BRAINLIST

Natasha_Volkova [10]

Answer:

Step-by-step explanation:

We can set up equation for this one.

Let's say the number is X.

the sum of X and 14 can be expressed as : X+14

five times the sum of X and 14 can be expressed as 5(x+14)

and 5(X+14) = 80

$5(x+14) = 80\\x+14 = 80 \div 5 = 16\\x = 16-14 = 2$

The number is 2

8 0

2 years ago

A small town's phone numbers either begin 373 or 377. How many phone numbers are available?

ser-zykov [4K]

Answer:

There are 20,000 number available.

Explanation:

To determine how many phone numbers are available you need to know how many digits the number contains.

I will assume the same number of digits for other similar questions, i.e. 7.

With 7 digits, the numbers that begin with 373 or 377 can be of the form 373XXXX or 377XXXX.

Where each X can be any digit 0 - 9. Then, there are 10 different options for each X.

Thus, there are 10×10×10×10 = 10,000 different numbers starting with 373 and other 10,000 different numbers starting with 377.

In total, there are 20,000 numbers available.

6 0

2 years ago