[tex]solve : - \\ \\ (10 {}^{2} - 6 {}^{2} ) = {?}[/tex]
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9514 1404 393

Answer:

  can't be done. x = 6, not 36

Step-by-step explanation:

Without the diagram we must speculate that the 150 cm length is the hypotenuse. Then we have ...

  150² = (7x)² +(24x)² = (49 +576)x² = 625x² . . . . Pythagorean relation

  150²/625 = x² = 36 . . . . . divide by 625

  x = √36 . . . . . . . . . . . take the square root

  x = 6

Answer:

X = 32, y = 16

Step-by-step explanation:

Cos 30 = (16√3) ÷ x

x = (16√3) ÷ cos 30

x = 32

Sin 30 = y ÷ 32

y = 32 sin 30

y = 16

Step-by-step explanation:

gradient(m)=change in y/change in x

=5-1/-9-(-4)

=4/-9+4

=4/-5

equation now

y-y1=m(x-x1)

y-1=4/-5[x-(-4)]

y=4/-5(x+4)+1

y=-4/5x-16/5+1

y=-4/5x-21/5

Answer:

y = -4/5x - 11/5

Step-by-step explanation:

First, find the slope using the slope formula.

[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{1-5}{-4-(-9)}\\\\m=-\frac{4}{5}[/tex]

Then, use the point-slope formula and substitute the values for the variables. I'll use (-4, 1) in this instance.

[tex]y-y_1=m(x-x_1)\\\\y-1=-\frac{4}{5}(x+4)\\\\y-1=-\frac{4}{5}x-\frac{16}{5}\\\\y=-\frac{4}{5}x-\frac{11}{5}[/tex]

Answer:

x = 4, x = -4

Step-by-step explanation:

Step-by-step explanation:

Move terms to the left side

2=16

x^{2}=16x2=16

2−16=0

Use the quadratic formula

Simplify

Evaluate the exponent

Multiply the numbers

Add the numbers

Evaluate the square root

Multiply the numbers

=0±82

2

Separate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

=0+82

x= 0 + 8 over 2

=0−82 over 2

Rearrange and isolate the variable to find each solution

=4

x=4x=4

ans =−4

Answer:

Each wire is 0.251 m

Step-by-step explanation:

[tex] = \frac{12.55}{50} \\ \\ = 0.251[/tex]

Answer:

length of wire= 12.55m= 1255cm

Number of pieces= 50

length of each piece=?

length of each piece = 1255/ 50

length of each piece= 25.1cm= 0.251m

Answer:

According to provided table we have:

We know that a function is a such relationship where each input has exactly one output.

Now, the answer choices:

A) The relation is not a function because the output 6 has two inputs.

B) The relation is not a function because one output is paired with multiple outputs.

C) The given list is the domain of the function. The range is 6, 7, 8, 9.

D) The given list is missing elements of the range. The range is 1, 2, 3, 4, 5, 6, 7, 8, 9

Answer:

.38

Step-by-step explanation:

Given that they have green eyes, we only look at the green row

Total is 3+5+5 = 13

Red hair is 5

P( red hair ) red / total = 5/13 =.384615385

Answer:

Condition relative frequency is 0.38

Step-by-step explanation:

P( red hair given that has green hair ):

[tex]{ \boxed{ \bf{P( \frac{red}{green}) }}}[/tex]

From baye's theorem:

[tex]P( \frac{R}{G} ) = \frac{P(RnG)}{P(G)} [/tex]

[tex]{ \sf{ = \frac{5}{(3 + 5 + 5)} }} \\ \\ = { \sf{ \frac{5}{13} }} \\ \\ = { \sf{0.384615…}}[/tex]

Answer:

Its c

Step-by-step explanation:

Answer:

Step-by-step explanation:

The basic 30-60-90 triangle ratio is:

Side opposite to 30° angle is : x

Side opposite to 60° angle is : x √3

Side opposite to 90° angle is : 2x

From the diagram we learn that

x√3 = 10

[tex]x = \frac{10}{\sqrt{3}}=\frac{10*\sqrt{3} }{\sqrt{3}*\sqrt{3}}\\\\x=\frac{10\sqrt{3}}{3}= 5.77\\[/tex]

∠T = 30°, Side opposite to ∠T is AC = 5.77

∠A = 90°, side opposite to ∠A is TC = 2x = 2*5.77 = 11.54

Answer:

A

Giải thích:

f(1)=f(x)

f(-1) và f(-2)= f(-x)

=> f(1)=f(-1) =A. f(x)=f(-x)

Answer:

37.5%

Step-by-step explanation:

Calculation to determine the theoretical probability that the tree is not within the acres of apple trees

Using this formula

P=(Number of all orchard acres - Apple acres)/(Total orchard acres)*100

Where,

P represent Probability

Let plug in the formula

P=(40 acres- 25 acres)/40 acres

P=15 acres/40 acres *100

P=3/8*100

P=.375*100

P=37.5%

Therefore the THEORETICAL PROBABILITY that the tree is not within the acres of apple trees is 37.5%

Answer:

the answer is 37.5

Step-by-step explanation:

it is

Geometric Mean = √(ab)

a = 7

b = 56

Geometric mean = √(7×56)

After prime factorization of 56 we get 2 × 2 × 2 × 7

√(7×7×2×2×2)

7×2√2

14√2

Therefore the answer is option d

Must click thanks and mark brainliest

Answer:

I'll add this so that u can give that person brainliest ^^

it's 1 beacuse the exponent has no power so its 1

The correct answer from the given matrix shows that the value of a12 is 1

This refers to a rectangular array of numbers that is arranged in rows and columns to indicate a mathematical property.

Hence, we can see that from the matrix given, we can see that there are different values for each one and to find a12, we can see that because there is no power in the exponent, the answer is 1.

Read more about matrixes here:

https://brainly.com/question/94574

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Answer:

6.52 x 10^3 is just basically 6.52 × 1000, which is 6520. But 652,000 ÷ 10^2 is just 652000 ÷ 100, which is 6520. That's why they have the same answer.

Answer:

70

Step-by-step explanation:

we have the angle of vertex in the isosceles triangle = 180-2*bottom coner= 180-65/2=50

3 angles in the equilateral triangle are equal to 60

we have 50 + 60 +h =the angle of PQR =180

h=70

Answer: h = 70°

In the triangle with Angle R = 65

It is a isoceles triangle as two sides are equal

So base angles will be equall too

Then the third angle will which is the q one will be

65+65+q = 180

q = 180 - 130

q = 50

In the other triangle with all sides equal will be equilateral triangle which means all angles equal = 60

So

Now ATQ

60 + 50 + h = 180

h = 180 - 110 (Angles on a straight line adds upto 180)

h = 70

Must click thanks and mark brainliest

Answer:

C

Step-by-step explanation:

The colony will follow an exponential equation. y(x) = 8000*(2)^(t/210). Plug in t=630 and you will get y(x) = 64000

Answer: y=80/5x+80

Step-by-step explanation:

At one point graph goes from (0,400) to (25,800). So the y intercept is 400 because that’s where the line was at x=0. 0 to 25 is 25. 400 to 800 is 400. So the equation would be y=400/25x+400. But you can divide all of it by 5 to get y=80/5x+80.

Step-by-step explanation:

|8| + |-3| - |-7|

= 8 - 3 + 7 = 12

Answer:

x = (cy+b)/a

Step-by-step explanation:

ax-b=cy

Add b to each side

ax-b+b=cy+b

ax = cy +b

Divide each side by a

ax/a = (cy+b)/a

x = (cy+b)/a

Answer:

138

Step-by-step explanation:

x is an exterior angle of a triangle.

If you didn't know, an exterior angle of a triangle is equal to the sum of its opposite interior angles.

The opposite interior angles of x have measures of 80 degrees and 58 degrees.

Hence, x = 80 + 58 = 138

Answer:

138

80+58 = 138

180 - 138 = 42

42+x = 180

x = 180-42 = 138

Step-by-step explanation:

Answer:

I hope my answer helps :)

Step-by-step explanation:

P(Y > 23) = P(Y = 24) + P(Y = 25)

6P(Y=25) = P(Y = 24) + P(Y = 25)

6 = P(Y = 24)/P(Y = 25)+ 1

5 = (²⁵C24×p²⁴×q¹)/(²⁵C25×p²⁵×q⁰)

Since you know that q = 1 - p,

5 = 25{[p²⁴(1 - p)]/p²⁵}

1/5 = (p²⁴ - p²⁵)/p²⁵

1/5 = p^(-1) - 1

6/5 = 1/p

p = 5/6 (shown)

The equation of the circle whose center is (0, 0) and whose radius 5 is x² + y² = 25.

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x-a)²+(y-b)² = r²

Where (a, b) is the centre and 'r' is the radius

We have a circle with centre (0, 0) and radius of 5.

Now, Substituting these value into the equation form, we have

(x-0)²+(y-0)² = 5²

x² + y² = 25

Hence, the equation of the circle whose center is (0, 0) and whose radius 5 is x² + y² = 25.

Learn more about equation of a circle here:

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Answer:

339 units

Step-by-step explanation:

You simply multiply the perimeter of the original rectangle by three to get the perimeter of the new rectangle.

Answer:

6 - 3x = 4 - X-3 - 2x

-3x+x+2x=4-6-3

0x=-5

No solutions

Answer:

a

Step-by-step explanation:

a

Answer:

y=-3x

Step-by-step explanation:

3>2. It doesn't matter if some or all of the numbers are negative.

Answer:  y = -3x has the steeper slope

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

Explanation:

Any linear equation is of the form y = mx+b, where m is the slope.

For y = -2x, the slope is -2. For y = -3x, the slope is -3.

We just look at the number to the left of x to find the slope.

To figure out which slope is steeper, we simply look to see which slope value is furthest from 0 on the number line. A slope of 0 itself is completely horizontal and flat. As the slope value moves away from zero, in either positive or negative direction, then the slope gets steeper and steeper.

In short, a slope of -3 is more steep compared to a slope of -2. Therefore, y = -3x is the answer.

The graph below helps visually confirm that y = -3x is indeed steeper. We drop one extra unit down each time we move to the right one space.

Answer:

Angle BCD=35°

HOPE IT HELPS

Answer:

x

Step-by-step explanation:

Answer:

4.

Step-by-step explanation:

The highest exponent is 4 so the degree is 4.

Answer:

Step-by-step explanation:

SecA - TanA

= 1/CosA - SinA/CosA

= 1 - SinA/CosA

We know that Sin2A = 2SinACosA  and Cos2A = Cos²A - Sin²A

Thus SinA = Sin2(A/2) = 2Sin(A/2)CosA/2

       CosA = Cos2(A/2) = Cos²A/2 - Sin²A/2

Now substituting the values back,

=> 1 - 2Sin(A/2)Cos(A/2) / Cos²(A/2) - Sin²(A/2)

// we know that Sin²θ + Cos²θ = 1

=> Sin²(A/2) + Cos²A/2 -  2Sin(A/2)Cos(A/2) / Cos²(A/2) - Sin²(A/2)

//We know that numerator is of form a² + b² - 2ab which is (a - b)².

//Similarly denominator is of form a² - b² which is (a - b)(a + b)

=> [Sin(A/2) - Cos(A/2)]² / [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]

=> [ - {Cos(A/2) - Sin(A/2)}]² / [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]

=> [Cos(A/2) - Sin(A/2)]² /  [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]

=> [Cos(A/2) - Sin(A/2)] / [Cos(A/2) + Sin(A/2)]

= R.H.S

Hence proved.