A plank 6m long leans against a vertical wall so that the foot of the plank is 4m away from the wall. A lizard climbs 2m up the plank. Calculate the horizontal distance between the lizard and the wall.

Answer:

gmvlɛpuyhgn

gteeyolpp

jwjvy

Answer:

When you see f^-1(x), its asking for the inverse. In this case, you swap y with x and solve for y.

The inverse is 5 / x - 8

Answer:

[tex]\text{C. }21.39\:\mathrm{units^2}[/tex]

Step-by-step explanation:

The area of a triangle with sides [tex]a[/tex] and [tex]b[/tex] and angle [tex]\gamma[/tex] between them is given by [tex]A=\frac{1}{2}ab\sin \gamma[/tex].

Therefore, in the given triangle, we want to find two sides with the angle between them given. In this case, the angle between the two sides 7.39 and 9.75 is marked as [tex]36.43^{\circ}[/tex]. Assign values:

Substituting these values into our area formula, we get:

[tex]A=\frac{1}{2}\cdot 7.39\cdot 9.75\cdot \sin (36.43)^{\circ},\\A=21.3938371858,\\A\approx \boxed{21.39\:\mathrm{units^2}}[/tex]

Given:

The skateboard Rita would like to buy costs $ 6 less than 3 times the amount she saved.

The skateboard costs $69.

To find:

The saved amount.

Solution:

Let x be the saved amount.

The skateboard Rita would like to buy costs $ 6 less than 3 times the amount she saved. So, the cost of the skateboard is [tex]3x-6[/tex].

The skateboard costs $69.

[tex]3x-6=69[/tex]

[tex]3x=69+6[/tex]

[tex]3x=75[/tex]

Divide both sides by 3.

[tex]x=\dfrac{75}{3}[/tex]

[tex]x=25[/tex]

Therefore, Rita saved $25.

Answer:

c on edge

Step-by-step explanation:

Answer:

Let me look some things up.

Step-by-step explanation:

Then I will get back to you

It needs [tex]140\ \text {pounds}[/tex] of the spirulina to get in order to make the blend.

Used the concept of a system of linear equations that states,

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system.

Example; ax + by = 0

Given that,

The cost of protein per pound = [tex]\$10.25[/tex]

The cost of powdered spirulina per pound = [tex]\$22.45[/tex]

And, the blend ends up costing [tex]\$16.35[/tex] per pound.

Let us assume that,

There are x pounds of protein and y pounds of spirulina in the mixture.

Hence, by given conditions the equation is,

[tex]10.25x + 22.45y = 16.35 (x + y)[/tex]

[tex]10.25x + 22.45y = 16.35x +16.35 y[/tex]

Combine like terms,

[tex]22.45y - 16.35 y= 16.35x - 10.25x[/tex]

[tex]6.1 y = 6.1x[/tex]

[tex]y = x[/tex]

Since the company has 140 pounds of whey protein on hand.

So, the amount of spirulina it needs to get in order to make the blend is,

[tex]y = 140\ \text {pounds}[/tex]

Learn more about systems of equations at:

brainly.com/question/14323743

#SPJ12

Answer:

Step-by-step explanation:

X^2+2x-1

2X^2-3x+1

Answer:

0.4 × 10 = 4

1.25 × 10 = 12.5

97.465 × 10 = 974.65

9514 1404 393

Answer:

  ∠4 = 108°

Step-by-step explanation:

Angles 2 and 4 together form a "linear pair". That is, the sum of them is 180°, a "straight angle." They are supplementary.

  ∠4 = 180° -∠2 = 180° -72°

  ∠4 = 108°

Answer:

0.06114248375

Step-by-step explanation:

I've done this problem before

Answer:

y= -x +2

Step-by-step explanation:

This is a negative slope of one because the line is going down and has a ride over run of 1/1. Then the y intercept is +2 because this line intercepts the y axis at positive 2.

hope it helps!

Answer:

y = -x +2

Step-by-step explanation:

just trust me on this

numerator = top part of the fraction

denominator = bottom part of the fraction

* means multiply

a.

you can only add the numerator when the denominator is the same

cant add the denominator

denominator has to be the same

1/5 = 4/20

4/20 + 7/20 = 11/20

b.

1 7/8 = 15/8

3/4 ÷ 15/8 =

3/4 * 8/15 =

24/60 = divide both top and bottom by 12 =

2/5

Step-by-step explanation:

a)1/5+ 7/20

1.find the CM of both denominators

2.multiply both the denominator and the numerator using the CM

=(1/5)×20 +(7/20)

=20/100 +35/100

since you multiply

3.Now add both numerators ( don't add the denominators)

=the answer is 55/100

Answer:

a

Step-by-step explanation:

it's non-linear

Step-by-step explanation:

the functions linear because as x increases by 4, y is increasing by 12 at a constant rate

Answer:

An axiom is often a statement assumed to be true for the sake of expressing a logical sequence. ... These statements, which are derived from axioms, are called theorems. A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives.

hope it helps

PLEASE MARK BRAINLIEST

Answer:

A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives. ... An axiom is a statement that is assumed to be true without any proof, while a theory is subject to be proven before it is considered to be true or false.

[/tex][tex]\sf\purple{\dfrac{tanθ}{secθ - 1} = \dfrac{tanθ + secθ + 1}{tanθ + secθ - 1{cm}^{2}}[/tex][/tex]

[tex]\\[/tex]

[tex]\sf\purple{\dfrac{tanθ}{secθ - 1} = \dfrac{tanθ + secθ + 1}{tanθ + secθ - 1}{cm}^{2}}[/tex]

[tex]\:[/tex]

[tex]\sf{\red{\dfrac{\tan\theta}{\sec\theta - 1}=\dfrac{\tan\theta + \sec\theta + 1}{\tan\theta + \sec\theta - 1}\:cm^{2}}}[/tex]

Answer:

C. Gregory's graph is incorrect because it shows 2 inches of growth for each week, when it should show 0.75 inches of growth each week

Step-by-step explanation:

Given that the plant grows 1.5 inches (y) every 2 weeks (x), it means that:

Rate of change = y/x = 1.5/2 = 0.75 inches per week

The graph he should create should have a rate of change of 0.75. that is, it should show 0.75 inches growth for every week.

The graph shown above has a rate of change of 2 inches per week.

Thus, the graph is incorrect. It should be showing 0.75 inches of growth per week instead of 2 inches.

Answer: x ≥ 87

Step-by-step explanation:

Set the minimum score on the next test as x & calculate it:

[tex]\frac{75+78+89+71+x}{5} =80\\\\75+78+89+71+x=80(5)\\\\313+x=400\\\\x=400-313=87[/tex]

So they need at least a score of 87 for the average to be 80+.

Answer:

x ≥ 87

Step-by-step explanation:

Answer: C=25.12

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{} if \ \ equal \ \pi =3,14 \ \ then \\\\\pi r^2=3,14r^2\\\\3,14r^2=50,24 \\\\ r^2=16 \\\\ r=4 \Longrightarrow C= 2\pi r=2\cdot 3,14\cdot 4=25.12 \\\\\\ Answer : C=25.12[/tex]

Answer:

With new regime is 183,750Rs

Step-by-step explanation:

I. 75,000 * 13 [12 months + 1 month bonus] = 975,000

II. Ms.Gurung tax rate will be ₹37500 + 15%

III. Perform ratio x/975,000 = 15/100 [15% is 15/100] = 146,250

IIII. ₹37500 + 146,250 = 183,750Rs

It depends on how tax rate will costs, could be more or less.

Answer:

I believe it is 55°.

I can't remember the exact steps for this tho.

I hope it is right! good luck!

Answer:

1/81

Step-by-step explanation:

Answer:

90 * 40 = 3600 * $30 = $108,000

Step-by-step explanation:

Match the place value of each digit in 25.678.

Match the place value of each digit in 25.678.Value: 5

5.000= ones......

Answer:

Ones

Step-by-step explanation:

In order the numbers are:

Tens

Ones

Tenths

Hundredths

Thousandths

Answer:

sin theta = -2 sqrt(14)/15

Step-by-step explanation:

cos theta = adj / hyp

We can find the opp side by using the Pythagorean theorem

adj ^2 + opp ^2 = hyp^2

(-13)^2 + opp ^2 = 15^2

169 + opp ^2 = 225

opp ^2 = 225 -169

opp ^2 =56

Taking the square root of each side

sqrt( opp^2) = sqrt(56)

opp = sqrt(4 * 14)

opp = 2 sqrt(14)

Since we are in the third quadrant opp is negative

opp = -2 sqrt(14)

We know

sin theta = opp / hyp

sin theta = -2 sqrt(14)/15

Given that :

[tex] \frak {\cos( \theta_{1} ) = - \frac{13}{15} }[/tex]

To find :

[tex] \frak{ sin( \theta_{1} )}[/tex]

We know that cos θ is base/hypotentuse

So, here the base is -13 and the hypotentuse is 15

As we got the base and hypotentuse, perpendicular needs to be found out

Now, applying Pythagoras Theorem

According to Pythagoras theorem we know that :

Let us assume perpendicular be x

Putting the values we get

By transposing we get

sin θ formula : Perpendicular/Hypotentuse

[tex] \star \: \: \underline{ \overline{ \boxed{ \frak{ sin (\theta_{1})} = \frac{-2 \sqrt{14} }{15} }}}[/tex]

Hence, the answer is -2√14/15

Answer:

 3/7

Step-by-step explanation:

I think its only 3/7

Cause 9/18=1/2

3/5=0.6

2/10=1/5

and 8/24=1/3

Answer:

[tex] \frac{8}{24} [/tex]

[tex] \frac{2}{10} [/tex]

[tex] \frac{9}{18} [/tex]

Answer:

Step-by-step explanation:

Multiply both the co-ordinates of each vertex by the scale factor and then simplify it.

A(-3 , 2)    A'(-3*8 , 2 * 8) = A' (-24 , 16)

B(2,1)         B'(2*8 , 1*8)  = B'(16,8)

C(-1,-3)       C'(-1*8,-3*8)= C'(-8,-24)

Answer:

see explanation

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply each ot the coordinates by the scale factor 8

A (- 3, 2 ) → A' (8(- 3), 8(2) ) → A' (- 24, 16 )

B (2, 1 ) → B' (8(2), 8(1) ) → B' (16, 8 )

C (- 1, - 3 ) → C; (8(- 1), 8(- 3) ) → C' (- 8, - 24 )

Answer:

the two points are (-3,-3

Step-by-step explanation:

You must first check if the line is a straight line two the you check the intersection of the two points and the write it

The question is not well formatted. A ell formatted version of the question type is attached and solved below :

Answer:

10

Step-by-step explanation:

Using trigonometry :

Taking the angle 45°

From trigonometry :

Sin θ = opposite / hypotenus

Opposite = s ; hypotenus = 10√2

Sin 45 = s / 10√2

Recall :

Sin 45 = 1/√2

We have ;

1/√2 = s / 10√2

s = 10√2 * 1/√2

s = 10√2 / √2

s = 10

Answer:

G

Step-by-step explanation:

you know its G just by the way it is