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3 years ago

Complete the sentences to compare the functions.

Mathematics

2 answers:

marshall27 [118]3 years ago

7 0

Answer:

All real numbers

Smallest value in the domain of inverse

Marat540 [252]3 years ago

5 0

Answer:

All real numbers

Smallest value in the domain of inverse

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Marco bounces a basketball 45 times in 60 seconds.at the rate approximately how many times will Marco bounce the ball 150 secon

worty [1.4K]

Answer:

Approximately : 135

Step-by-step explanation:

60sec x 3 = 180sec

45 x 3 = 135

4 0

3 years ago

CONSTRUCTION The area of Liberty Township’s square playground is represented by the trinomial x^2 - 10x + 25. Write an expressio

Phoenix [80]

Answer:

X=5 and X=5

Step-by-step explanation:

X²-10x+25=0

X²-5x-5x+25=0

X(x-5)-5(x-5)=0

(X-5) (x-5)=0

X-5=0. x-5=0

X=5. x=5

4 0

3 years ago

I need help ASAP 10 Points!!!

swat32

Purple color figure is similar to the original figure.

Solution:

Property of similar polygon:

Similar polygons have same shape, corresponding angles are congruent and the corresponding sides are in the same ratio.

(1) Compare original figure with green color figure:

Angles of the original figure:

37°, 53° and 90°.

Angles of the green color figure:

67°, 23° and 90°

These two angles of the triangles not congruent angles.

Hence these shapes are not similar.

(2) Compare original figure with yellow color figure:

Angles of the original figure:

37°, 53° and 90°.

Angles of the yellow color figure:

67°, 23° and 90°

These two angles of the triangles are not congruent angles.

Hence these shapes are not similar.

(3) Compare original figure with purple color figure:

Angles of the original figure:

37°, 53° and 90°

Angles of the purple color figure:

37°, 53° and 90°

These two triangles have same shape and congruent angles.

Ratio of the sides:

$$\frac{3}{6}=\frac{1}{2} , \ \frac{4}{8}=\frac{1}{2} , \ \frac{5}{10}=\frac{1}{2}$

These two triangles have same ratio.

Hence these shapes are similar.

Hence purple color figure is similar to the original figure.

4 0

3 years ago

2.) Fill in the blank.

Montano1993 [528]

Answer:

E.) 1

Step-by-step explanation:

Firstly we will solve for L.H.S.

L.H.S. = $Csc^2\theta$

Since we know that $Csc^2\theta$ is the inverse of $Sin^2\theta$ .

So we can say that;

$csc^2\theta=\frac{1}{sin^2\theta}$

Now For R.H.S.

$Cot^2\theta+1$

Since we can rewrite $cot^2\theta$ as $\frac{cos^2\theta}{sin^2\theta}$ .

Now we can say that the R.H.S. is;

$\frac{cos^2\theta}{sin^2\theta}+1$

Now we add the fraction and get;

$\frac{cos^2\theta+sin^2\theta}{sin^2\theta}$

Now according to trigonometric identity;

$cos^2\theta+sin^2\theta=1$

So, $\frac{cos^2\theta+sin^2\theta}{sin^2\theta}=\frac{1}{sin^2\theta}$

Here,

$csc^2\theta=\frac{1}{sin^2\theta}$ and $Cot^2\theta+1$ = $\frac{1}{sin^2\theta}$

L.H.S. = R.H.S.

Hence $csc^2\theta=cot^2\theta+1$

4 0

3 years ago

The variable W represents the number of weeks the office has been on the new recycling plan and the variable P represents the to

chubhunter [2.5K]

Answer:

It will take $\frac{45W}{P}$ weeks to recycle a total of 45 kg of paper

Step-by-step explanation:

W represents the number of weeks the office has been on the new recycling plan

P represents the total kilograms of paper recycled.

It took weeks to recycle P kilograms of paper = W

It took weeks to recycle 1 kilogram of paper = $\frac{W}{P}$

It took weeks to recycle 45 kilograms of paper = $\frac{W}{P} \times 45$

Hence It will take $\frac{45W}{P}$ weeks to recycle a total of 45 kg of paper

5 0

3 years ago