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4 years ago

From the set {1, 2, 6}, use substitution to determine which value of x makes the equation true. 20 - 3x = 2

Mathematics

1 answer:

stepan [7]4 years ago

3 0

Answer:

$\large\boxed{x=6}$

Step-by-step explanation:

$\text{Put x = 1, x = 2 and x = 6 to the equation 20 - 3x = 2:}\\\\for\ x=1:\\\\L_s=20-3(1)=20-3=17\\R_s=2\\L_s\neq R_s\\\boxed{NO}\\\\for\ x=2:\\\\L_s=20-3(2)=20-6=14\\R_s=2\\L_s\neq R_s\\\boxed{NO}\\\\for\ x=6:\\\\L_s=20-3(6)=20-18=2\\R_s=2\\L_s=R_s\\\boxed{YES}$

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Find the missing length indicated. A) 48 B) 36 C) 100 D) 64

alexandr402 [8]

Answer:

Option D) 64

Step-by-step explanation:

see the attached figure with letters to better understand the problem

In the right triangle BCD find BC

Applying the Pythagoras Theorem

$BC^{2}=48^{2}+36^{2}\\BC^{2}=3,600\\BC=60\ units$

In the right triangle ABC

$cos(C)=BC/AC$

substitute the values

$cos(C)=60/(x+36)$ -------> equation A

In the right triangle BDC

$cos(C)=CD/BC$

substitute the values

$cos(C)=36/60$ -------> equation B

equate equation A and equation B

$60/(x+36)=36/60\\ \\(x+36)*36=60*60\\ \\36x+1,296=3,600\\ \\36x=3,600-1,296\\ \\36x=2,304\\ \\x=64\ units$

6 0

3 years ago

Pleas help me with this

Sidana [21]

Answer:

The probability of a number bigger than 4 when o dice is rolled is 2/6 or in decimal 0.333.....

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Please help!! Maths question I don't understand!

djverab [1.8K]

Answer:

see explanation

Step-by-step explanation:

The statements tells us that w is inversely proportional to v and the equation relating them is

v = $\frac{k}{w}$ ← k is the constant of proportion

To find k use the condition v = 9, w = 5, that is

9 = $\frac{k}{5}$ ( multiply both sides by 5 )

45 = k

v = $\frac{45}{w}$ ← equation of proportion

When w = 4 , then

v = $\frac{45}{4}$ = 11.25

4 0

3 years ago

Find the limit !!!!!!

Tasya [4]

Answer:

1/8.

Step-by-step explanation:

Use l'Hopitals rule - we find the derivative of top and bottom of the fraction.

Derivative of the numerator = 0 - 1/2 (16 - x)^-1/2 -1

= 1 / [ 2 * (16 - x)^1/2

Derivative of the denominator = 1

When x approaches 0 this is 1 / (2*4)

= 1/8.

Another way to do this is to multiply top and bottom by 4 + (16 - x)^1/2

This becomes 16 - (16 - x) / x(4 + (16-x)^1/2)

= 1 / (4 + (16 + x)^1/2

When x ---> 0

this = 1 /(4 + 4)

= 1/8.

6 0

3 years ago

Finalssss!!!! Please help ASAP!!!!!!!

katovenus [111]

Answer/Step-by-step explanation:

The figure given shows two triangles.: ∆ADB has two equal base angles while ∆BCD has three equal angles. Therefore, based on their angles, we can conclude that:

∆ADB is an isosceles triangle

∆BCD is an equilateral triangle

Before we add up he outside lengths of Quadrilateral ABCD to find the perimeter, let's recall three properties of each triangle:

Isosceles triangle:

-Has two equal base angles

-The two sides opposite the two equal base angles are also equal to each other

-the their side (base) is unequal to the other

Equilateral triangle:

-Has three equal angles

-Has three equal sides

-Each angle measures 60°

Using these properties, we can determine the outside lengths of quadrilateral ABCD:

AB = 21 (given)

AD = 17 (given)

AD = BD = 17 (equal sides of ∆ADB)

BD = 17

BD = BC = CD = 17 (properties of equilateral triangle)

BC = 17

CD = 17

✔️Perimeter of Quadrilateral ABCD = AB + BC + CD + AD = 21 + 17 + 17 + 17

Perimeter = 72 units

4 0

3 years ago