Can someone pls help me? I don't understand how to do this. Would really appreciate it! ​

Can Someone Pls Help Me? I Don't Understand How To Do This. Would Really Appreciate It!

Answers

Answer 1

Answers:

a = 21b = 42*sqrt(2)h = 14*sqrt(2)

================================================

Explanation:

There are 3 right triangles here. They are all similar triangles allowing us to form the proportion

7/h = h/56

which solves to...

7/h = h/56

7*56 = h*h

392 = h^2

h^2 = 392

h = sqrt(392)

h = sqrt(196*2)

h = sqrt(196)*sqrt(2)

h = 14*sqrt(2)

Note: h is the geometric mean of 7 and 56.

---------------------

Use the pythagorean theorem to solve for 'a'. Focus on the smaller triangle on the left

7^2 + h^2 = a^2

7^2 + (sqrt(392))^2 = a^2

49 + 392 = a^2

441 = a^2

a^2 = 441

a = sqrt(441)

a = 21

---------------------

Then we can find b. Again use the pythagorean theorem. Focus on the largest right triangle this time.

a^2 + b^2 = (7+56)^2

21^2 + b^2 = 63^2

441 + b^2 = 3969

b^2 = 3969 - 441

b^2 = 3528

b = sqrt(3528)

b = sqrt(1764*2)

b = sqrt(1764)*sqrt(2)

b = 42*sqrt(2)


Related Questions

Amir wants to create a 4-digit password for his phone.
He wants to choose 4 different numbers between 1 and 5 inclusive.
Calculate the total number of 4-digit passwords that Amir can create.

Answers

Answer:

360

Step-by-step explanation:

Given that Amir wants to create a 4-digit password for his phone.

He wants to choose 4 different numbers between 1 and 5 inclusive.

The total number of 4-digit passwords that Amir can create will be achieved by using permutation

6P4 = 6!/ ( 6 - 4)!

6P4 = (6 × 5 × 4 × 3 × 2!)/2!

6P4 = 6×5×4×3 = 360

Therefore, the total number of 4-digit passwords that Amir can create is 360 different passwords.

Ship A and Ship B are 120 km apart when they pick up a distress call from another boat. Ship B estimates that they are 70 km away from the distress call. They also notice that the angle between the line from ship B to ship A and the line from ship A to the distress call is 28°. What are the two possible distances, to the nearest TENTH of a km, from ship A to the boat?

Answers

Answer:

The two possible distances from Ship A to the distress call boat are 64.4 km and 147.5 km

Step-by-step explanation:

The given parameters are;

The distance between Ship A and Ship B = 120 km

The distance of the distress call from Ship B = 70 km

The angle made between the line from Ship A to B and the line from Ship A to the distress call = 28° = Opposite angle to the line from the location of the distress caller to Ship B

Therefore;

70/(sin(28°)) = 120/(sin(x))

Where;

x = The angle opposite the line from Ship A to B

sin(x) = ((sin(28°))×120)/70 = 0.805

x = sin⁻¹(0.805) = 53.59°

Therefore, the angle opposite the line from Ship A to the distress caller, r = 180 - (28 + 53.59) = 98.4°

From sin rule, we have;

70/(sin(28°)) = r/(sin(98.4°))

r = (70/(sin(28°)))×(sin(98.4°)) = 147.5

However by cosine rule, we have;

70² = 120² + r² - 2×120×r × cos(28°)

4,900 = 14,400 + r² - 211.907·r

r² - 211.907·r + 14,400 - 4,900 = 0

r² - 211.907·r + 9,500 = 0

Factorizing, we have;

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

[tex]r = \dfrac{211.907\pm \sqrt{211.907^{2}-4\times 1\times 9,500}}{2\times 1}[/tex]

r = 64.406 km or 147.501 km

Which gives;

The distance of the line from Ship A to the distress caller =  64.4 km or 147.5 km to the nearest tenth.

The two possible distances from Ship A to the distress call boat = 64.4 km and 147.5 km

what is (15-2)×3×2 ​

Answers

Answer:

15−2(3−2x)=46

Step-by-step explanation:

15−2(3−2x)=46

PEMDAS
parentheses exponents multiple divide add subtract
(15-2)x3x2
(12)x3x2
(36)x2=72

the slope and y intercept of 3y+6x=18

Answers

Answer:

slope: -2

y-intercept: 6

Step-by-step explanation:

First, put the equation into slope intercept form.

Slope-intercept form: y = mx + b

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

First, subtract 6x from both sides:

3y + 6x (-6x) = 18 (-6x)

3y = -6x + 18

Next, divide 3 from both sides. Remember to divide from all terms:

(3y)/3 =  (-6x + 18)/3

y = (-6x)/3 + (18)/3

y = -2x + 6

Slope-intercept form: y = -2x + 6

Again, note the slope-intercept form.

> Slope-intercept form: y = mx + b

The variables:

y = (x ,y)

m = slope

x = (x , y)

b = y-intercept

Your answers:

slope: -2

y-intercept: 6

If g(x) = a f(x + b), how is f(x) transformed to get g(x)?
02/(x + 4)
02/(x-4)
O f(x + 4)
Of(x-4)

Answers

Answer:

There was a Horizontal translation left b units and then Vertical stretch or compression

Step-by-step explanation:

Given : [tex]g(x) = a f(x + b)[/tex]

We are supposed to show the transformation

Rule : f(x)→f(x+c)

Horizontal translation left c units

So, f(x+b) is the Horizontal translation left b units

Rule : f(x)→cf(x)

Vertical stretch or compression

So,[tex]g(x) = a f(x + b)[/tex]

So, Initially there was a Horizontal translation left b units and then Vertical stretch or compression

Answer:

-2f(x+4), A

Step-by-step explanation:

Vertically stretch the function by 2, flip it over the x-axis and add 4 to shift right

(The explaination might be BS but the answer is 100% correct, took the quiz)

What is the value of vba? be sure to give the correct algebraic sign?

Answers

Answer:

V = Vab from the drawing.

So if V = –10 volts, then Vab = –10v and Vba = +10v

"the figure is the same in the link below except that the voltage is from a to b" but the drawing shows that V = Vab

Hoped I helped

All of the following represent the same concept except _____. 47 take away 28 47 minus 28 47 less than 28 47 subtract 28

Answers

Answer:

C. 47 less than 28

Step-by-step explanation:

A. 47 take away 28

Equivalent to counting 47 and taking away 28

= 47 - 28

= 19

B. 47 minus 28

Simply

47 - 28

= 19

C. 47 less than 28

47 < 28

The less than sign is <

D. 47 subtract 28

= 47 - 28

= 19

Answer:47 less than 28

Step-by-step explanation:the rest are subtracting 28 from 47 , 47 less than 28 is subtracting 47 from 28.

3/4 - 1/2n =5/8. solve for n

Answers

-22/8, simplified would be -11/4

The solution to the equation (3/4) - (1/2)n = 5/8 is n = 1/4 as per the rule of fraction's operations.

To solve the equation (3/4) - (1/2)n = 5/8 for n, we can follow these steps:

Start by subtracting 3/4 from both sides of the equation:

(3/4) - (1/2)n - 3/4 = 5/8 - 3/4

Simplifying, we have:

(1/2)n = 5/8 - 6/8

Combine the fractions on the right-hand side:

(1/2)n = -1/8

To eliminate the fraction coefficient, multiply both sides by -2:

(-2)(-1/2)n = (-2)(-1/8)

This gives us:

n = 2/8

Simplify the right-hand side:

n = 1/4

Therefore, the solution to the equation (3/4) - (1/2)n = 5/8 is n = 1/4.

It's important to note that when solving equations involving fractions, it's crucial to perform the same operation on both sides of the equation to maintain the equality. By isolating the variable n on one side, we were able to find its value.

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the average number of spectators at a football competition for the first five days was 3144.the attendance on the sixth day was 3990.find the average attendance for the 6 days ​

Answers

Answer:

3285

Step-by-step explanation:

5x3144=15720

3990

15720+3990=19710

19710/6=3285

IF Tunde, who has n eggs, has three
more than Sola, how many eggs has
Sola?​

Answers

Answer:

Sola has n-3 eggs

Step-by-step explanation:

Tunde = n

Tunde has 3 more = Sola has 3 less than tunde

= Tunde - 3

= n - 3

Calculate the slope of the line that passes through the following points:
(-4,-7) and (1, -7)
Apply the following formula:
Tise
m =
(y2-91)
(22-21)
TUT
0
O Undefined

Answers

Answer:

0

Step-by-step explanation:

Slope is -7--7/1--4

=0/5

=0

Slope of the line passing through (-4,-7) and (1, -7) is equals to 0.

What is slope?

"Slope of a line is defined as the ratio of change in y-coordinates to the change in x-coordinates."

Formula used

Slope = ( y₂ - y₁) / (x₂ - x₁)

According to the question,

Line passing through two points (-4, -7) and ( 1, -7)

x₁ and x₂ are x- coordinates on the line.

y₁ and y₂ are the y-coordinates on the line.

Here,

( x₁ , y₁ ) = ( -4, -7)

(x₂ , y₂) = ( 1 , -7)

Substitute the given value in the formula we get,

Slope = [ -7 -(-7)] / [ 1 - (-4)]

         = (-7 +7) / ( 1 +4)

         = 0 / 5

         = 0  

Hence, slope of the line passing through (-4,-7) and (1, -7) is equals to 0.

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5u+5(1-u)=u+8
I need help finding the answer

Answers

I hope this helps you

5u+5-5u=u+8

5-8=u

u=-3

What is the Decimal Represention of 9/11​

Answers

Answer: the answer is A 0.81

What is the probability of getting dealt a hand equal to 21?

Answers

Answer:

The odds to get a blackjack (natural) as arrangement: 128 / 2652 = . 0483 = 4.83%. 4.83% is equivalent to about 1 in 21 blackjack hands.

select the correct descriptor of the following problems: from a pack of 52 cards, two cards drawn together at random. What is the probability od both the cards being kings?​

Answers

Answer:

[tex]\frac{1}{221}[/tex]

Step-by-step explanation:

We have to note that there are 4 kings in a deck of 52 cards.

This makes the probability of choosing a king the first time [tex]\frac{4}{52} = \frac{1}{13}[/tex].

We now know that we can choose another king from the deck, but it's important to note that it's not a [tex]\frac{1}{13}[/tex] chance. We now only have 51 cards in the deck, and 3 kings left. This means the probability of choosing a king now is [tex]\frac{3}{51} = \frac{1}{17}[/tex].

To find the probability of doing both these, we need to multiply the fractions.

[tex]\frac{1}{13}\cdot\frac{1}{17}=\frac{1}{221}[/tex]

Hope this helped!


If x is a rational number and y is a rational number than x + y is a rational number.

Answers

Answer:

True.

Step-by-step explanation:

The sum of two rational numbers is rational.

By definition, a rational number can be expressed as a fraction with integer values in the numerator and denominator (denominator not zero). So, adding two rational numbers produces another rational number.

Rewrite in mathematical language. Every negative integer J is less than or equal to its inverse.

Answers

Answer:

[tex]-J \leq J[/tex]

Step-by-step explanation:

Given

Negative integer J

Required

Represent as an inequality of its inverse

The question didn't state if it's additive inverse or multiplicative inverse;

Since the question has to do with negation, I'll assume it's an additive inverse

The inverse of -J is +J

To represent as an inequality (less than or equal), we have:

[tex]-J \leq +J[/tex]

Solving further, it gives

[tex]-J \leq J[/tex]

I have no idea how to do any of these so please explain I'm already struggling and school just started

1.
[tex]5g + h = g[/tex]
solve for g
2.
[tex]y = mx + b[/tex]
solve for m

3.
[tex]3y + z = am - 4y[/tex]
solve for y

4.
[tex]km + 5x = 6y[/tex]
solve for m

5.
[tex] \frac{3ax - n}{5} = - 4[/tex]
solve for x

6.
[tex] \frac{by + 2}{3} = c[/tex]
solve for y

7.
[tex]at + b = ar - c[/tex]
solve for a

Answers

Answer:

See below!

Step-by-step explanation:

1. 5g + h = g

4g = -h

g = [tex]-\frac{h}{4}[/tex]

2. y = mx + b

y - b = mx

m = [tex]\frac{y - b}{x}[/tex]

3. 3y + z = am - 4y

7y = am - z

y = [tex]\frac{am - z}{7}[/tex]

4. km + 5x = 6y

km = 6y - 5x

m = [tex]\frac{6y - 5x}{k}[/tex]

5. [tex]\frac{3ax - n}{5} = -4[/tex]

3ax - n = -20

3ax = n - 20

x = [tex]\frac{n-20}{3a}[/tex]

6. [tex]\frac{by+2}{3}= c[/tex]

by + 2 = 3c

by = 3c - 2

y = [tex]\frac{3c-2}{b}[/tex]

7. at + b = ar - c

at - ar = -b - c

a(t - r) = -(b + c)

a = [tex]-\frac{b+c}{t-r}[/tex]

There are 75 people in a room. Of these people, 2/5 are from Germany. If 4/9 of the people who are not from Germany are from France, how many of the people in the room are from neither Germany nor France

Answers

Answer:

25 people are not from Germany or France.

Step-by-step explanation:

1. You first want find out what is the number of people from Germany.

So you would find...

2/5 of 75

or

2/5*75= 30 people from Germany

2. Next you want to to find out the number of people from France.

So you would do the following...

75-30=45 (Subtract the number of people from Germany from 75 so you can get the total number of people from France and other countries)

4/9 of 45 to find the number of people from France.

4/9 *45= 20

3. Lastly you need to find the people who are from neither of the countries listed above.

Add 30+20= 50

Then subtract that number from 75.

75-50= 25 people who are from neither France or Germany.

Voila! This is your answer. Hope this helps! :)

Part B: Plot point C(2,7). If M is the midpoint of CD, what are the
coordinates of D?

Answers

C(2,7) m is the midpoint

9-2x=7x
How do I solve for x?

Answers

Answer:

The answer to the equation is 1.

Step-by-step explanation:

When having an algebraic equation, you have to move all of the variables on one side. Therefore, you can move the -2x or the 7x. However, to make a positive number, I would recommend to move the -2x.

To move the -2x to the other side, you add 2x to the both sides of the equation. Since the original equation is 9-2x=7x, you will add the 2x to it, so your equation will now look like this: 9-2x+2x=7x+2x. Once simplifying that down, you will have 9=9x. Then, you can divide the coefficient, so the 9 on the left side, and the 9 on the right side. After this, you will have 1=x. AKA x=1, which is the answer to the equation!

The solution to the equation 9 - 2x = 7x is x = 1 as per the algebraic operations.

To solve the equation 9 - 2x = 7x for x, we need to isolate the variable on one side of the equation. Here's the step-by-step process:

Start by combining like terms. Add 2x to both sides of the equation to move the variable terms to one side:

9 - 2x + 2x = 7x + 2x

9 = 9x

Divide both sides of the equation by 9 to isolate x:

9/9 = 9x/9

1 = x

Therefore, the solution to the equation 9 - 2x = 7x is x = 1.

By performing the necessary algebraic operations, we found that x is equal to 1. This value satisfies the original equation, making it the solution. It's important to check the solution by substituting x = 1 back into the original equation to ensure that it holds true. In this case, when we substitute x = 1 into the equation, we have 9 - 2(1) = 7(1), which simplifies to 7 = 7, confirming that x = 1 is indeed the correct solution.

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What is the value of x in equation 6x + 2= 9x - 1?

Answers

Answer =1


6x+2=9x-1
-3x=-3
X=1

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

So we have the equation:

[tex]6x+2=9x-1[/tex]

Subtract 6x from both sides:

[tex](6x+2)-6x=(9x-1)-6x\\2=3x-1[/tex]

Add 1 to both sides:

[tex](2)+1=(3x-1)+1\\3=3x[/tex]

Divide both sides by 3:

[tex](3)/3=(3x)/3\\x=1[/tex]

So, the value of x is 1 :)

P.S. Welcome to Brainly!

Find the asymptotes of the hyperbola described by the equation: y2/9 - x^2/81=1. ANSWERS ATTACHED, due in 2 HOURS, will give Brainliest!

Answers

Answer:

Solution : y = ± 1/3x

Step-by-step explanation:

Remember that the equation of a hyperbola is in the form (y - k)² / a² - (x - h)² / b² = 1. Therefore we have a² here = 9, and b² here = 81.

To determine the asymptotes we can use the equation y = k ± a/b(x - h). What makes this equation really simple, is that k = 0 and h = 0, giving us y = ± a/b(x). Let's isolate a and b given a² = 9, and b² = 81 --- (1)

a² = 9

a = 3

b² = 81

b = 9

Therefore our asymptotes will be in the form y = ± a/b(x) = ± 3/9(x) = ± 1/3x. Our solution is thus option a.

Dylan can paint a wall in 4 hours, while Brett can paint the same wall in 3 hours. If Dylan paints the wall for 2 hours, how much time will it take for Brett to finish painting the wall

Answers

Answer:

n 1 hour Dylan can paint 1/4 of the wall, and Brett can paint 1/3 of the wall.

Therefore together they can paint 1/4+1/3 = 7/12 of wall

Therefore they can paint entire wall in 12/7 hours

Step-by-step explanation:

you ' re welcome grandma loves youu ! < 33 ; )

mark meee branliest pleaseeee ; )

Kenya is reserving a room in a hotel in France where they use euros (€). The room charge is €75. Suppose the conversion rate is €1 = $1.298. What is the cost of the room in dollars? (1 point)

Answers

since the conversion rate is $1.298 you need to multiply that by 75 since you have the exact conversion so the answer would be $97.35

Add 113+(−56) using the number line.

Answers

Answer:

Step-by-step explanation:

Start at 1 1/3

Add the negative number.

1 1/3 + (-5/6)

Adding a negative number means to go left on a number line.

-5/6 is equal to -2/3 plus -1/6.

Move 2/3 to the left.

1 1/3 (Start)

1      (1/3)

2/3   (2/3)

Now, move 1/6th to the left.

2/3 is equal to 4/6

4/6 - 1/6 = 3/6

So, put the point at 3/6 or 1/2.

The value of addition of 1 1/3+(−5/6) is 1/2 and plotted on a number line.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

Start at 1 1/3

Add the negative number;

1 1/3 + (-5/6)

Here Adding a negative number means to go left on a number line.

-5/6 is equal to -2/3 plus -1/6.

Now Move 2/3 to the left;

1 1/3 (Start)

1      (1/3)

2/3   (2/3)

Now, move 1/6th to the left;

2/3 is equal to 4/6

4/6 - 1/6 = 3/6

Thus 1 1/3+(−5/6) = 3/6 = 1/2

The value of addition of 1 1/3+(−5/6) is 1/2 and plotted on a number line.

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There are 5 pencils and 8 pens. What is the ratio of pens to pencils?

Answers

Answer:

8/5

Step-by-step explanation:

The parent function, Rx) = 5*, has been vertically compressed by a factor of one-half, shifted to the left three units and
down two units. Choose the correct function to represent the transformation.

Answers

Answer:

  see below

Step-by-step explanation:

For a vertical scale factor of 'b', and a translation by (h, k) in the (right, up) direction, the transformed function is ...

  g(x) = b·f(x -h) +k

For a scale factor of 1/2 and translation left 3 and down 2, the transformed function is ...

  g(x) = (1/2)f(x +3) -2

  g(x) = (1/2)5^(x +3) =2 . . . . matches the 2nd choice

If A = 3x power 2+2y + 2 and B=6x power 2 - 8y + 1 then A+B and A-B​

Answers

Answer:

see explanation

Step-by-step explanation:

Given A = 3x² + 2y + 2 and B = 6x² - 8y + 1 , then

A + B

= 3x² + 2y + 2 + 6x² - 8y + 1 ← collect like terms

= 9x² - 6y + 3

-------------------------------

A - B

= 3x² + 2y + 2 - (6x² - 8y + 1) ← distribute parenthesis by - 1

= 3x² + 2y + 2 - 6x² + 8y - 1 ← collect like terms

= - 3x² + 10y + 1

I need help step by step Combining like terms 6 + x + 4=

Answers

The like terms are 6 and 4:

6 + x + 4
= x + 10
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