Describe & correct the error in writing the statement of the tangent ratio for the given figure

Answer:

3, 12, 48, 192, ...

3, 15, 75, 375, ...

2, 10, 50, 250, ...

Given:

The equation is:

[tex](5+x)(5-x)=7[/tex]

To find:

The value of A, B and C for the equation's general form.

Solution:

We have,

[tex](5+x)(5-x)=7[/tex]

Using distribution property, we get

[tex](5)(5)+(5)(-x)+(x)(5)+(x)(-x)=7[/tex]

[tex]25-5x+5x-x^2=7[/tex]

[tex]25-x^2=7[/tex]

Taking all terms on one side, we get

[tex]25-x^2-7=0[/tex]

[tex]-x^2+18=0[/tex]

[tex]-(x^2-18)=0[/tex]

[tex]x^2-18=0[/tex]

On comparing this equation with the general form of a quadratic equation [tex]Ax^2+Bx+C=0[/tex], we get

[tex]A=1[/tex]

[tex]B=0[/tex]

[tex]C=-18[/tex]

Therefore, the correct option is 1.

i am so sorry me dont know

Answer:

Answer: Composite figure: 360 ft3

Explanation:

The volume of the triangular prism:

The base area of the prism = 1/2 x 4 x 6 = 12 ft2

Height = 6 ft

The volume of the triangular prism = 12 x 6 = 72 ft3

The volume of the rectangular prism:

The base area of the prism = 4 x 6 = 24 ft2

Height = 12 ft

The volume of the triangular prism = 12 x 24 = 288 ft3

Volume of the composite figure = (288 + 72)ft3 = 360 ft3

Step-by-step explanation:

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Hi there!

In the given equation [tex]y=2x+5[/tex], the slope of the line is 2.

Perpendicular lines always have slopes that are negative reciprocals, like negative "flipped" fractions.

Example: The negative reciprocal of [tex]\frac{3}{1}[/tex] (which is the same as 3) is [tex]-\frac{1}{3}[/tex].

Example 2: The negative reciprocal of [tex]-\frac{4}{3}[/tex] is [tex]\frac{3}{4}[/tex].

Using this logic, the negative reciprocal of 2, or [tex]\frac{2}{1}[/tex], is [tex]-\frac{1}{2}[/tex]. Therefore, the slope of a line perpendicular to the line [tex]y=2x+5[/tex] is [tex]-\frac{1}{2}[/tex].

I hope this helps!

Answer:

0,83

Step-by-step explanation:

tan(40)=0,83

0.8390996312tep-by-step explanation:

Answer:

30 experimental outcomes exist for the entire experiment.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

Three outcomes possible for the first step.

Two for the second step.

Five for the third step.

How many experimental outcomes exist for the entire experiment?

Steps are independent, so, by the fundamental counting principle:

3*2*5 = 6*5 = 30

30 experimental outcomes exist for the entire experiment.

Answer:

6 regular coffees. Thank it if its helpful, thank you!

Step-by-step explanation:

75% of 8 is 6

Reasoning:

75/100*8/1=600/100

600/100=6!

Answer:

Regular coffee served by cafe = 75%* 8

                                                   = 75/100*8 =  6 coffees

Step-by-step explanation:

Answer:

B.  8.384 to 11.616

Step-by-step explanation:

We have

mean = 10

s = 4

n =  26

the degrees of freedom = n-1

= 26 - 1 = 25

α = 1-95%

= 1 - 0.95

= 0.05

α/2 = 0.05/2 = 0.025

using the t table

t0.025, 25 = 2.06

we find the margin of error

t * s/√n

= 2.06 * 4/√26

= 1.616

10-1.616 < μ < 10+1.616

= 8.384<μ<11.616

therefore option b is the right solution

Answer:

24.

[tex] log_{2}(9) \\ = log_{2}(3) {}^{2} \\ = 3 log_{2}(3) \\ = \frac{3 log(3) }{ log(2) } \\ = 4.75[/tex]

25.

[tex]5. {9}^{x} = 12.48 \\ {9}^{x} = 2.496 \\ x log(9) = log(2.496) \\ x = \frac{ log(2.496) }{ log(9) } \\ x = 0.42[/tex]

26.

[tex]4 + 9. ln(x) = 15.8 \\ ln(x) = \frac{15.8 - 4}{9} \\ ln(x) = 1.311 \\ x = e {}^{1.311} \\ x = 3.71[/tex]

9514 1404 393

Answer:

  $80

Step-by-step explanation:

You are given the formula ...

  P = I/(rt)

and the values I = 20, r = 0.05, t = 5.

Put the numbers in place of the corresponding variables and do the arithmetic.

  P = 20/(0.05·5) = 20/0.25 = 80

The amount $80 will generate $20 in interest over 5 years at 5% per year.

i think the answer is 35° because the triangles are congruent to each other

Answer:

1

Step-by-step explanation:

12 - 2 + 3 = 13

13 - 12 = 1

Answer:

-1

Step-by-step explanation:

she must walk down 1 flight of stairs

Answer:

The answer is below

Step-by-step explanation:

The Angle Addition Postulate states that the measure of an angle formed by two or more angles which are placed side by side is the sum of the measures of the two angles.

Therefore:

∠MON = ∠MOP + ∠NOP (angle addition postulate)

Substituting values gives:

124 = (2x + 1) + (2x + 1)

124 = 2x + 2x + 1 + 1

124 = 4x + 2

subtracting 2 from both sides of the equation:

124 - 2 = 4x + 2 - 2

4x = 122

Dividing through by 4:

4x / 4 = 122 / 4

x = 30.5

Therefore ∠MOP = 2x + 1 = 2(30.5) + 1 = 62°, ∠NOP = 2x + 1 = 2(30.5) + 1 = 62°

∠MOP = 62°, ∠NOP = 62°

Answer:

69420

Step-by-step explanation:

6

Answer:

66.99 cm³

Step-by-step explanation:

the volume = ⅓× 3.14 × 4²× 4 = 3.14 × 64/ 3

= 66.99 cm³

9514 1404 393

Answer:

  (f/g)(8) = -104/41

Step-by-step explanation:

Fill in the value for x and do the arithmetic.

  f(8) = 3 -2·8 = 3 -16 = -13

  g(8) = 1/8 +5 = (1+40)/8 = 41/8

Then the ratio is ...

  (f/g)(8) = f(8)/g(8) = -13/(41/8) = -13(8)/41

  (f/g)(8) = -104/41

Answer:

(x + 2) (x +4) (x^2 + 25)

Step-by-step explanation:

Just did this problem

(  +  2 )  ( ^3  +  4 ^2  +  2 5  +  1 0 0 )

(  +  2 )  (  +  4 )  ( ^2  +  2 5 )

A factor is a number that completely divides another number. The factored form of the polynomial is (x² + 25 )(x + 2 )(x + 4 ).

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

The given expression can be factorized using the steps as shown below. Therefore, we can write the steps as,

Rewrite for factoring : ([tex]x^{2}[/tex] + 33[tex]x^{2}[/tex] + 200) + 6[tex]x^{3}[/tex] + 150[tex]x^{}[/tex]

Rewrite the term: x⁴ + 8x² + 25x² + 200 + 6x³+ 150x

Regroup terms into two proportional parts: (x⁴ + 8x²) + (25x² + 200) + 6x³ 150x

Factor Greatest Common Factors out: x²(x² + 8 ) + 25(x² + 8) + 6x³ +150x

Factor Greatest Common Factors out:

(x² + 8 )(x² +25 ) + (6x³ + 150 )

Rewrite the term: (x² +25 )(x² + 2x + 4x + 8)

Regroup terms into two proportional parts: (x² + 25 ){(x + 2x ) + (4x +8)}

Factor Greatest Common Factors out: ( x² + 25 ){(x(x + 2)  + 4(x + 2)}

Factor Greatest Common Factors out: (x² + 25 )(x + 2)(x + 4)

Learn more about Factors here:

https://brainly.com/question/24182713

#SPJ2

Answer:

Distance cover by train = 112.5 km

Step-by-step explanation:

Given;

Speed of train = 75 km/h

Time started = 15:43 min

Time ended = 17:13 min

Find:

Distance cover by train

Computation:

Time started = 15:43 min = 15.716 hour

Time ended = 17:13 min = 17.216 hour

Total time taken = 17.216 - 15.716

Total time taken = 1.5 hour

Distance cover by train = Total time taken x Speed of train

Distance cover by train = 75 x 1.5

Distance cover by train = 112.5 km

Answer and Step-by-step explanation:

To solve the inequality, we have to get k by itself.

Add 3 to both sides of the inequality.

k < 8 is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

2 pipes

Step-by-step explanation:

So.. I'm not too sure either, but I'll try to solve it.

Equation: 4x=8 when x=number of pipes turned off after 12 hours

Since there were initially 8 pipes and there are 4 hours between 36 planned hours to fill the whole pool and 32 actual hours passed to fill the rest of the pool, you multiply them.

Answer:  1. x=18

2. x=21

Step-by-step explanation:

1.Q 114=7x-12

7x=126

x=18

2.Q 4x-2=3x+19

4x-3x=19+2

x=21

Answer:

Step-by-step explanation:

if im right but i think

7x-12=144 opposite sides are congruent

7x/7=156/7

X= 22.285

Answer:

[tex]pressure = \frac{force}{area} \\ = \frac{50}{5} \\ = 10 \: N {m}^{ - 2} [/tex]

Answer:

The states of nature refer to future events, not under the control of the decision maker, which may occur. States of nature should be defined so that they are mutually exclusive and collectively exhaustive.

Answer:

12 units

Step-by-step explanation:

From the given figure,

AB=4 units & BC=3 units

By Pythagoras Theorem, [tex]AC^{2} = AB^{2} + BC^{2}[/tex]

Here, [tex]AC^{2} = 4^{2} + 3^{2}[/tex]

Thus, AC=5 units

Now, perimeter of triangle is equal to the sum of all sides.

Perimeter = AB + BC + AC = 4 + 3 + 5 = 12 units

Answer:

[tex]6.283185307[/tex]

Step-by-step explanation:

[tex]Formula - C = 2\pi r[/tex]

[tex]Formula = 2*\pi*1 = 6.283185307[/tex]

Answer:

C≈6

Step-by-step explanation:

remember circumference formula

[tex] \displaystyle C = 2\pi r[/tex]

given that,r=1 thus substitute:

[tex] \displaystyle C = 2\pi .1[/tex]

simplify mutilation:

[tex] \displaystyle C = 2\pi [/tex]

substitute the given value of π:

[tex] \displaystyle C = 2.3[/tex]

simplify multiplication:

[tex] \displaystyle C = 6[/tex]

and we are done!

Answer:

[tex]x^3[/tex]

Step-by-step explanation:

Let the greatest common factor of [tex]a,b,c[/tex] such that [tex]a,b,c \in\mathbb{Z}[/tex] and they are not all equal to zero, [tex]d[/tex] is the common divisor of [tex]a[/tex] and [tex]b[/tex]. Therefore, [tex]d \mid a[/tex] and [tex]d \mid b[/tex]

You can write

[tex]D(a) = \{d \in\mathbb{Z} : d \mid a\}[/tex]

[tex]D(b) = \{d \in\mathbb{Z} : d \mid b\}[/tex]

The greatest common factor of [tex]a,b[/tex] is given as

[tex]D(a,b) = \{d \in\mathbb{Z} : d \mid a \text{ and } d \mid b\}[/tex]

and

[tex]D(a, b) = D(a) \cap D(b)[/tex]

This happens because [tex]D(a,b)[/tex] is upper bounded because if [tex]a\neq 0[/tex] then [tex]d \leq |a|[/tex]

for all [tex]d\in D(a, b)[/tex]. Therefore, the set [tex]D(a, b)[/tex] has the greatest elements.

Taking [tex]x^3, x^7, x^9[/tex] such that [tex]x>0[/tex]

You can note that [tex]x^7 = x^3 \cdot x^4[/tex] and [tex]x^9 = x^3 \cdot x^6 = x^3 \cdot x^3 \cdot x^3[/tex]

Therefore, the greatest common factor is [tex]x^3[/tex]

Note: [tex]x^3 \cap x^7 \cap x^9 = x^3[/tex]

Answer:

-2

Step-by-step explanation:

To find the mean, add all of the values together. With that sum, divide it by the amount of addends/values. In this case 3.

-8 + -1 + 3 = -6

-6/3= -2

hope this helps :D

Answer:

c

Step-by-step explanation: