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3 years ago

PLEASE HELP GUYS THANK YOU IN ADVANCED

Mathematics

2 answers:

VikaD [51]3 years ago

6 0

Answer:

x=3.5

Step-by-step explanation:

lawyer [7]3 years ago

3 0

Answer:

x=sqrt(12) or 2sqrt(3)

Step-by-step explanation:

You can just use pythagorean theorem for this.

We can do 4^2+x^2=8^2

This gives us 16+x^2=64.

Simplify: x^2=48

x=sqrt(48)

Now, we can find x!

We just have to do 6^2+x^2=sqrt(48).

We get 36+x^2=48

simplify: x^2=12

Now, x=sqrt(12) or 2sqrt(3)

You might be interested in

The deck of a card game is made up of 108 cards. Twenty-five each are red, yellow, blue, and green, and eight are wild cards. Ea

Vinvika [58]

Given Information:

Total cards = 108

Red cards = 25

yellow cards = 25

Blue cards = 25

Green cards = 25

Wild cards = 8

Required Information:

Probability that a hand will contain exactly two wild cards in a seven-hand game = ?

Answer:

P = (₈C₂*₁₀₀C₅)/₁₀₈C₇

Step-by-step explanation:

The required probability is given by

P = number of ways of interest/total number of ways

The total number of ways of dealing a seven-card hand is

₁₀₈C₇

We want to select exactly 2 wild cards and the total wild cards are 8 so the number of ways of this selection is

₈C₂

Since the game is seven-card hand, we have to get the number of ways to select remaining 5 cards out of (108 - 8 = 100) cards.

₁₀₀C₅

Therefore, the setup for this problem becomes

P = number of ways of interest/total number of ways

P = (₈C₂*₁₀₀C₅)/₁₀₈C₇

This is the required setup that we can type into our calculators to get the probability of exactly two wild cards in a seven-hand card game with 8 wild cards and 108 total cards.

7 0

3 years ago

Solve for n: -1/2 (n + 8) +3/4

vlabodo [156]

$\frac{1}{2} (n+8) + \frac{3}{4}$

$\frac{1(n+8)}{2} + \frac{3}{4}$

$\frac{n+8}{2} + \frac{3}{4}$

$\frac{2(n+8)}{4} + \frac{3}{4}$

$\frac{2(n+8) + 3}{4}$

$\frac{2n + 16 +3}{4}$

$\frac{2n + 19}{4}$

7 0

2 years ago

Unit 3 parallel and perpendicular lines homework 4 parallel line proofs

Alex17521 [72]

Answer:

1) c ║ d by consecutive interior angles theorem

2) m∠3 + m∠6 = 180° by transitive property

3) ∠2 ≅ ∠5 by definition of congruency

4) t ║ v ${}$ Corresponding angle theorem

5) ∠14 and ∠11 are supplementary ${}$ Definition of supplementary angles

6) ∠8 and ∠9 are supplementary ${}$ Consecutive interior angles theorem

Step-by-step explanation:

1) Statement ${}$ Reason

m∠4 + m∠7 = 180° ${}$ Given

m∠4 ≅ m∠6 ${}$ Vertically opposite angles

m∠4 = m∠6 ${}$ Definition of congruency

m∠6 + m∠7 = 180° ${}$ Transitive property

m∠6 and m∠7 are supplementary ${}$ Definition of supplementary angles

∴ c ║ d ${}$ Consecutive interior angles theorem

2) Statement ${}$ Reason

m∠3 = m∠8 ${}$ Given

m∠8 + m∠6 = 180° ${}$ Sum of angles on a straight line

∴ m∠3 + m∠6 = 180° ${}$ Transitive property

3) Statement ${}$ Reason

p ║ q ${}$ Given

∠1 ≅ ∠5 ${}$ Given

∠1 = ∠5 ${}$ Definition of congruency

∠2 ≅ ∠1 ${}$ Alternate interior angles theorem

∠2 = ∠1 ${}$ Definition of congruency

∠2 = ∠5 ${}$ Transitive property

∠2 ≅ ∠5 ${}$ Definition of congruency.

4) Statement ${}$ Reason

∠1 ≅ ∠5 ${}$ Given

∠3 ≅ ∠4 ${}$ Given

∠1 = ∠5 ${}$ Definition of congruency

∠3 = ∠4 ${}$ Definition of congruency

∠5 ≅ ∠4 ${}$ Vertically opposite angles

∠5 = ∠4 ${}$ Definition of congruency

∠5 = ∠3 ${}$ Transitive property

∠1 = ∠3 ${}$ Transitive property

∠1 ≅ ∠3 ${}$ Definition of congruency.

t ║ v ${}$ Corresponding angle theorem

5) Statement ${}$ Reason

∠5 ≅ ∠16 ${}$ Given

∠2 ≅ ∠4 ${}$ Given

∠5 = ∠16 ${}$ Definition of congruency

∠2 = ∠4 ${}$ Definition of congruency

EF ║ GH ${}$ Corresponding angle theorem

∠14 ≅ ∠16 ${}$ Corresponding angles

∠14 = ∠16 ${}$ Definition of congruency

∠5 = ∠14 ${}$ Transitive property

∠5 + ∠11 = 180° ${}$ Sum of angles on a straight line

∠14 + ∠11 = 180° ${}$ Transitive property

∠14 and ∠11 are supplementary ${}$ Definition of supplementary angles

6) Statement ${}$ Reason

l ║ m ${}$ Given

∠4 ≅ ∠7 ${}$ Given

∠4 = ∠7 ${}$ Definition of congruency

∠2 ≅ ∠7 ${}$ Alternate angles

∠2 = ∠7 ${}$ Definition of congruency

∠2 = ∠4 ${}$ Transitive property

∠2 ≅ ∠4 ${}$ Definition of congruency

∠2 and ∠4 are corresponding angles ${}$ Definition

DA ║ EB ${}$ Corresponding angle theorem

∠8 and ∠9 are consecutive interior angles ${}$ Definition

∠8 and ∠9 are supplementary ${}$ Consecutive interior angles theorem.

6 0

3 years ago

2 3 5 9 17 _ what is the next number in the sequence

nordsb [41]

The next number is 33

3 0

3 years ago

The height of the plant is given by the equation h = 0.5d + 4. Rewrite this as a function rule where f(x) is the height, in cent

ad-work [718]

Answer:

Here's what I get

Step-by-step explanation:

h = 0.5d + 4

A function rule tells you how to convert an input value (x) into an output value (y).

Your function rule is

ƒ(x) = 0.5x + 4

An easy way to represent your function is to make a graph.

The easiest way to make a graph is to make a table containing some inputs and their corresponding outputs.

Here's a typical table.

$\begin{array}{cc}\textbf{x} &\textbf{y} \\0 & 4 \\2 & 5 \\4 & 6 \\6 & 7\\6 & 8 \\\end{array}$

The graph is like the one below.

4 0

3 years ago