In - ABC shown below, side AC is extended to point D with mZ DAB = (180 – 3x) °,

mZ B = (6x – 40) °, and m2 C = (x + 20).

Answer:

17.8km = 11.125 miles

Step-by-step explanation:

From 5 miles = 8km, we can form the ratio km:miles as 8 : 5.

We want to put the ratio in the form 1 : n, which gives us 1 : 0.625 (we divide both 8 and 5 by 8 to get this form).

Now, using the ratio km:miles as 1:0.625, we have to multiply both 1 and 0.625 by 17.8 to gain the ratio 17.8 : n, therefore giving us the ratio 17.8 : 11.125.

Hence, 17.8km = 11.125 miles

Answer:

11.125 miles

Step-by-step explanation:

Proportions:

5 miles ⇒ 8 km

A miles ⇒ 17.8 km

A = 17.8km*5miles/8miles

A = 11.125 miles

Answer:[tex]12x+25y=300[/tex]

Step-by-step explanation:

Answer:

12x + 25y = 300

Step-by-step explanation:

Answer:

a. 6

Step-by-step explanation:

AB +BC =AC

2x-2+2x+10=32

4x+8=32

4x=32-8

4x=24

x=24/4

x=6

Answer:

[tex]\displaystyle S_{8}=6560[/tex]

Step-by-step explanation:

We have the geometric sequence:

2, 6, 18, 54 ...

And we want to find S8, or the sum of the first eight terms.

The sum of a geometric series is given by:

[tex]\displaystyle S=\frac{a(r^n-1)}{r-1}[/tex]

Where n is the number of terms, a is the first term, and r is the common ratio.

From our sequence, we can see that the first term a is 2.

The common ratio is 3 as each subsequent term is thrice the previous term.

And the number of terms n is 8.

Substitute:

[tex]\displaystyle S_8=\frac{2((3)^{8}-1)}{(3)-1}[/tex]

And evaluate. Hence:

[tex]\displaystyle S_8=6560[/tex]

The sum of the first eight terms is 6560.

Answer:

S₈ = 6560

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]

where a is the first term and r the common ratio

Here a = 2 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{2}[/tex] = 3 , then

S₈ = [tex]\frac{2(3^{8}-1) }{3-1}[/tex]

    = [tex]\frac{2(6561-1)}{2}[/tex]

    = 6561 - 1

    = 6560

Answer:

x = 9

Step-by-step explanation:

First, combine like terms. Like terms are terms with the same variable as well as the same amount of said variables:

4x - 10 + 5x = 71

(4x + 5x) - 10 = 71

9x - 10 = 71

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 10 to both sides of the equation:

9x - 10 (+10) = 71 (+10)

9x = 71 + 10

9x = 81

Next, isolate the variable x by dividing 9 from both sides of the equation:

(9x)/9 = (81)/9

x = 81/9 = 9

x = 9 is your answer.

~

Answer:

Brad & Matthew can expect to lose money from selling these cameras of -$122

Step-by-step explanation:

Calculation to determine if it should expect to make or lose money from selling them and How much?

First step is to calculate the expected costs

Expected costs= (0.03* $4900 ) + (0.02* $4900 * 2)

Expected costs=$147+$196

Expected costs=$343

Now let determine the amount of profit or Loss that the company will be making in the long-run on each camera sold

Expected Profit or loss =($221-$343)

Expected Profit or loss =-$122

Therefore it Should expect to LOSE money from selling them of the amount of -$122

Answer:

C

Step-by-step explanation:

Since the sectors all meet at the centre of the circle, then

The angles around a point sum to 360° → A

90°... See More

https//90°.com

Answer:

120

Step-by-step explanation:

5*4*3*2*1

Answer:

3/5

Step-by-step explanation:

prependicular / hypotenuse

sin C=ED/CD

=3/5

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Multiply straight across and reduce.

[tex]\frac{5}{8}[/tex] · [tex]\frac{2}{3}[/tex] = [tex]\frac{10}{24}[/tex] = [tex]\frac{5}{12}[/tex]

Answer:

Rs 968

Step-by-step explanation:

Given :-

To Find :-

Solution :-

We know CI as ,

> CI = P ( 1 + R/100)ⁿ

> CI = Rs 800 ( 1 + 10/100)²

> CI = Rs 800 × 11/10 × 11/10

> CI = Rs 968 .

Answer:

135

Step-by-step explanation:

The area is given by

A = bh  where b is the base and h is the height

A = 9* 15

A =135

Answer:

[tex]135 \: {units}^{2} [/tex]

Step-by-step explanation:

[tex]area = b \times h \\ = 9 \times 15 \\ = 135 \: {units}^{2} [/tex]

Answer: A. 0.25

Step-by-step explanation:

You need to divide 40 by 160 to calculate the percentage.

Answer:

160°

Step-by-step explanation:

Let one angle be x

Let second angle be 8x

Sum of supplementary angles = 180°

x+ 8x = 180°

9x = 180

x = 180/9 = 20

First angle= x= 20°

Second angle = 8x = 8*20 = 160°

Answer:

skew

Step-by-step explanation:

Perpendicular lines must intersect. In fact, they intersect forming right angles.

Lines AC and RC are not in the same plane and do not intersect.

They are called "skew lines."

Skew

Because they are in different plane and do not intersect and are not parallel

9514 1404 393

Answer:

  350, 5, 2668, 4

Step-by-step explanation:

a) mcm(35, 50) = 35·50/mcd(35, 50) = 35·50/5 = 350

__

b) mcd(35, 50) = 5

  35 = 5·7; 50 = 5·10

__

c) mcm(116, 92) = 116·92/mcd(116, 92) = 116·92/4 = 2668

__

d) mcd(116, 92) = 4

  116 = 4·29, 92 = 4·23

Answer:

first option

Step-by-step explanation:

the graph has a point of (8,2)

so see which option proves this point

2=0.25(8)

2=2

so first option is correct

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle.

Answer:

Inside

Step-by-step explanation:

Check the picture below

Answer:

D.

Step-by-step explanation:

.

Answer:

c. y = -4x

Step-by-step explanation:

use slope formula

Answer:

$29.69

Step-by-step explanation:

23.52 * 1.1 = $25.872 so this is the marked up price. ----- (1.1 = 110%)

25.872 * 0.1475 = $3.81612  is the sales tax.

Total is 25.872 + 3.81612  ~ $29.69

Hello!

7(x + 8) = 84 <=>

<=> 7x + 56 = 84 <=>

<=> 7x = 84 - 56 <=>

<=> 7x = 28 <=>

<=> x = 28 : 7 <=>

<=> x = 4

Good luck! :)

Answer:

D. 7.89 meters

Step-by-step explanation:

Given,

d = 0.3t

Here,

t = 26.3

Therefore,

d = 0.3*26.3

= 7.89m

Answer:

the answer is given in this picture hope this helps and good luck :)!

Step-by-step explanation:

Step-by-step explanation:

x² -12x+36 =90

(x-6)² =90

x-6. =+-√90

x. =6+-√90

x. =6+-√9×10

x. =6+-3√10

so the answer is first option

Answer:

angle 1

Step-by-step explanation:

Using the trigonometric mnemonic SOH CAH TOA, we know that cos or cosine is the ratio between the adjacent side and hypotenuse side.

This means that if cos A = 0.48, A is the measure of the angle which it's relative adjacent side divided by the hypotenuse of the triangle will be around 0.48.

Let's try angle 2, cos (angle 2) = adjacent / hypotenuse = 7.8 / 8.9 = 0.876404494382 ≈ 0.87 ≠ 0.48. Since the proportions are not equal, this angle cannot be the one marked as A.

Since angle 3 is a right angle, the adjacent could be either side so it cannot be correct. Thus angle 1 is correct.

Answer:

-10x-4y

Step-by-step explanation:

Step-by-step explanation:

Explanation is in the attachment

your answer will be 10x(1+2y)

hope it is helpful to you ☺️

Note: The values in the table are not correct because the sum of the probability of all events is not equal to one. The should be 0.13 and 0.33 instead of 0.113 and 0.133 respectively.

Given:

The probability distribution for a random variable x is given in the table.

x     :    -5          -3            -2            0           2          3

P(x) :  0.17      0.13       0.33       0.16       0.11      0.10

To find:

The probability of -2.

Solution:

From the given probability distribution for a random variable x, it is clear that the value of the probability is 0.33 corresponding to -2.

[tex]P(-2)=0.33[/tex]

Therefore, the probability of -2 is 0.33.