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4 years ago

Find the value of x.

Mathematics

1 answer:

lawyer [7]4 years ago

4 0

Answer:

$\huge\boxed{x=\sqrt{70}}$

Step-by-step explanation:

ΔABC and ΔADB are similar (AAA).

Therefore the corresponging sides are in proportion:

$\dfrac{AB}{AD}=\dfrac{AC}{AB}$

Substitute:

$AB=x\\AC=7+3=10\\AD=7$

$\dfrac{x}{7}=\dfrac{10}{x}$ cross multiply

$(x)(x)=(7)(10)\\\\x^2=70\to x=\sqrt{70}$

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Each bag of pattern blocks contains 50 blocks. To make a class pattern, the teacher combines 4 bags of blocks. How many pattern

iVinArrow [24]

Each bag contains 50 pattern blocks so 4 bags is

50 x 4 = 200 pattern blocks

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4 0

3 years ago

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pshichka [43]

Yes, your answer is correct.

5 0

4 years ago

What is the pattern between 1/4, 1/2, 3/4, and 1

bagirrra123 [75]

Answer:

Adding 1/4 each time

Step-by-step explanation:

1/4+1/4=1/2

1/2+1/4=3/4

3/4+1/4=1

4 0

3 years ago

PLEASE HELP MEE!! SHOW YOUR WORK PLS

sleet_krkn [62]

Answer:

(8, -8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = x - 16

5y = 2x - 56

Step 2: Solve for x

Substitute in y: 5(x - 16) = 2x - 56
Distribute 5: 5x - 80 = 2x - 56
[Subtraction Property of Equality] Subtract 2x on both sides: 3x - 80 = -56
[Addition Property of Equality] Add 80 on both sides: 3x = 24
[Division Property of Equality] Divide 3 on both sides: x = 8

Step 3: Solve for y

Define original equation: y = x - 16
Substitute in x: y = 8 - 16
Subtract: y = -8

5 0

3 years ago

Given a sphere with a diameter of 6 cm, find its volume to the nearest whole number.

mezya [45]

Answer:

Volume of the sphere is $1.13\times 10^{-4}m^3$

Step-by-step explanation:

It is given diameter of the sphere d = 6 cm = 0.06 m

Radius of the sphere

$r=\frac{d}{2}=\frac{0.06}{2}=0.03m$

We know that volume of the sphere is given by

$V=\frac{4}{3}\pi r^3$

Therefore ,

$V=\frac{4}{3}\times 3.14\times 0.03^3$

$=1.13\times 10^{-4}m^3$

Therefore volume of the sphere is $1.13\times 10^{-4}m^3$

6 0

3 years ago