Divide x^4 + 4x^3 – 2x^2 – 7 by x^2 + 1. What is the remainder?

We know the trigonometric ratios that tan = opposite/adjacent So, tan S is equal to 15/8 and tan R is equal to 8/15.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

We know that tan = opposite/adjacent

tan S

opposite: 45

adjacent: 24

So,

tan S = 45/24 = 15/8

tan R

opposite: 24

adjacent: 45

So,

tan R = 24/45 = 8/15

Learn more about trigonometric ratios here:

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Answer:

exponential

Step-by-step explanation:

Answer:

(3x - 5)/4

Step-by-step explanation:

(3x - 5)/4 desribes five less than thrice a number x over four. Please let me know if this is what you mean.

Answer:

do the answer is 24

in the picture there's the steps

Answer:

Step-by-step explanation:

since they are similar triangle use this ratio

AB/DE=AC/DF

4/12=8/3(x+1)

do cross multiplication

12*8=3*4(x+1)

96=12(x+1)

96=12x+12

96-12=12x

84/12=x

7=x

substitute the value of x

3(x+1)

3(7+1)

3*8

24

Answer:

a: 500in squared

Step-by-step explanation:

A=(a+b)/2 x h.

19+31=50

50/2=25

25×20=500

Answer:

[tex] \rm Option \; D [/tex]

Step-by-step explanation:

→ Volume of cube = (l)³ cubic units

→ Volume of cube = 1 unit × 1 unit × 1 unit

→ Volume of cube = 1 cubic unit

Option D is correct. ☑

Answer:

13 miles

Step-by-step explanation:

The shortest distance would be a straight line between the two points.  This would be a hypotenuse of a right triangle

We can use the Pythagorean theorem to determine the length

a^2+b^2=c^2

5^2 +12^2 = c^2

25+144= c^2

169 = c^2

Taking the square root of each side

sqrt(169) = sqrt(c^2)

13 = c

Answer:

8.5 milessssssss and aaaaaa

Answer:

V = 696.91

Step-by-step explanation:

Volume of a sphere formula:

V = 4/3πr³

Given:

d = 11

r = d/2

r = 5.5

Work:

V = 4/3πr³

V = 4/3π(5.5)³

V = 4/3π(166.375)

V = 696.91

Answer: B is the correct answer!

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Well since you pretty much know that electrons are negative soo... B

Answer:

11,73 cm (round to the nearest hundredths) ; 112 degrees

Step-by-step explanation:

circumference = 2 x radius x π = 2 x 6 x π = 37,699112 cm

measure of the arc =

37,699112 : 360 = x : 112

x = (112 * 37,699112)/360 = 11,728613 cm

the measure of the angle is given = 112 degrees

Answer:

7/100

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 70 and 100 is 10

Divide both the numerator and denominator by the GCD

70 ÷ 10

100 ÷ 10

Reduced fraction:

7

10

Therefore, 70/100 simplified to lowest terms is 7/10.

Answer:

4w = 25

w= 6.25

Step-by-step explanation:

We know that w + w + w + w is the same as 25 because the scale is balanced.

This is writted as 4w = 25

To solve for w, divide both sides by 4:

(4w)/4 = 25/4

w = 25/4

w = 6.25

Answer:

256ft

Step-by-step explanation:

18 times 8 plus 16 times 16 divided by 2

hope this helps! :D

Answer:

10

Step-by-step explanation:

Answer:

12 miles

Step-by-step explanation:

Let

x = number of miles

Taxi A:

5 + 0.25x

Taxi B:

2 + 0.5x

In how many miles will the cost of Taxi B will be the same than Taxi A

Equate cost of taxi A and taxi B

5 + 0.25x = 2 + 0.5x

Collect like terms

5 - 2 = 0.5x - 0.25x

3 = 0.25x

Divide both sides by 0.25

3 / 0.25 = 0.25x / 0.25

x = 3/0.25

x = 12 miles

x = number of miles = 12 miles

Answer:

243 divided by 3 equals 81 so r=81

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

Simplify the equation. 3r=243, so divide 3 on both sides, and you get r=81, hence 81 is the answer.

Answer: Choice A) Solar energy; renewable

The image shows panels that convert solar energy to electricity. This is an example of using  renewable   sources.

This is in contrast to something like coal energy which is nonrenewable. Coal is finite and will run out some day, unlike the sun's energy which won't run out any time soon. Sure it will eventually die off in about 5 billion years or so, but that timescale is much longer compared to the amount of coal is left. So this is a benefit to using renewable resources.

Answer:

to find the WX you have to use this formula

m>S=TR-WX/2

45=116-WX/2

90=116-WX

WX=116-90

WX=26

the answer is D 26

Answer:

D

Step-by-step explanation:

The secant- secant angle WSX is half the difference of the intercepted arcs, that is

[tex]\frac{1}{2}[/tex] (116 - WX)° = 45° ( multiply both sides by 2 to clear the fraction )

116 - WX = 90° ( subtract 116° from both sides )

- WX = - 26° ( multiply both sides by - 1 )

WX = 26° → D

Answer:

Step-by-step explanation:

surface are of triangular prism =(a+b+c)h+bh

=(5+5+4)11+4*6

=14*11+24

=154+24

=178 yd^2

Answer: Point P

Step-by-step explanation:

Answer:

x = ±3 (Option 3)

Step-by-step explanation:

[tex]\frac{x}{3} = \frac{3}{x}[/tex]

[tex]=> \frac{x}{3} \times 3 = \frac{3}{x} \times 3[/tex]

[tex]=> x = \frac{9}{x}[/tex]

[tex]=> x \times x = \frac{9}{x} \times x[/tex]

[tex]=> x^2 = 9[/tex]

[tex]=> \sqrt{x^2} = \sqrt{9}[/tex]

[tex]=> x = (+3) \: or \: (-3)[/tex]

∴ x = ±3

Answer:

1/3

Step-by-step explanation:

y = −3x −2

This is in the form  y = mx+b  where m is the slope

This line has a slope of -3

We want the slope of a line that is perpendicular

Lines that are perpendicular have slopes that are negative reciprocals

m = -(1/-3)

m = + 1/3

The slope  of a line that is perpendicular is 1/3

Answer: Its the first one

Answer:

y = 7.75x

Step-by-step explanation:

Steven earns extra money babysitting.

Step 1

Let us find the amount he earns per hour based on the charges given in the question.

a) He charges $31.00 for 4 hours

4 hours = $31

1 hour = x

Cross Multiply

4x = $31

x = $31/4

x = $7.75

b) And $46.50 for 6 hours.

6 hours = $46.50

1 hour = x

Cross Multiply

6x = $46.50

x = $46.50/6

x = $7.75

This means, Steven earns $7.75 per hour.

Step 2

Let

x represent the number of hours Steven babysit

y represent the amount he charges.

Therefore, an equation to represent the relationship is written as:

y = $7.75 × x

y = 7.75x

Answer:

35/6

Step-by-step explanation:

first you have to multiply 7 by 5/6 and that will get you to the answer of 35/6

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