If the square of the hypotenuse of an isosceles right triangle is 98cm2 find the length of each side

[tex] \sqrt{4 \frac{53}{169} } [/tex]

[tex] \sqrt{ \frac{729}{169} } [/tex]

[tex] \sqrt{ \frac{27}{13} } [/tex]

Answer:

x=1/2

Step-by-step explanation:

3(2x+9) = 30

Multiply out the 3

6x + 27 = 30

Subtract 27 on both sides

6x = 3

Divide by 6 on both sides

x = 1/2

Answer:

x=1/2

Step-by-step explanation

Answer:

yes N = natural number it's correct what I need to ask

Answer:

D can others can't..............

Answer:

Step-by-step explanation:

This is kinda tricky, but not nearly as bad as d = rt problems. Those are a nightmare!

We will make a table for this:

                         #lbs solution           *          % salt         =           lbs. salt

  3% solution

-  Water                                                                                                      

New solution

And we will now fill in what we know. The 3% solution part is easy. The number of pounds of that is 50 and the percent salt in 3% salt is....well, 3%. As a decimal, it is .03:

                             #lbs solution        *        %salt        =        lbs salt

  3% solution                50                 *          .03         =           1.5

-  Water                                                                                                

New solution

The last column there with a 1.5 in it is the product of 50 times .03, since that is what the formula at the top of the table tells us we have to use. Now for the water. That's easy, too, since the amount of water we are evaporating (notice the subtraction sign out front of the word "water"; that indicates we are removing water) is our unknown, and we also know that water has 0% salt in it:

                          #lbs solution         *       %salt        =        lbs. salt

   3% solution            50                  *         .03         =           1.5

-   Water                       x                  *            0          =            0        

New solution

Now all we have left is the new solution row and the equation. Finding the equation from a mixture table is as easy as it can be! Super easy!

The new solution will be 50 - x since, going down column 1, we are subtracting the water from the 3% solution, the % salt is to be 5%:

                            #lbs. solution        *       %salt        =        lbs. salt

   3% solution               50                *         .03          =           1.5

-   Water                          x                 *           0           =            0        

New solution         50 - x                  *         .05          =     2.5 - .05x

Now we're ready for our equation. I got the 2.5 - .05x from multiplying

.05(50 - x), just so you know.

if we had to subtract the water from the salt solution and set it equal to the new solution in the first column, we also have to do it in the third column:

1.5 - 0 = 2.5 - .05x and solve for x:

-1 = -.05x so

x = 20 pounds of water

Answer:

y = 3/2x + 6

Step-by-step explanation:

2/3 y - 4 = x

2/3y = x + 4

y = 3/2 * (x + 4)

y = 3/2x + 6

Answer:y=(3x/2)+6

Step-by-step explanation:

(2/3)y-4=x

2y-12=3x

2y=3x+12

y=(3x/2)+6

Answer:

b) quadratic

Step-by-step explanation:

Answer:

b. quadratic

Step-by-step explanation:

it makes the shape of a parabola

hope this helps

Answer:

0.02625

2.1 tenths

2.1

Step-by-step explanation:

Part A

The function y = -16x^2 + c represents the height of the ball at time x

We're told the building is 64 ft tall (roughly 6 stories), so c = 64

That means the function updates to y = -16x^2 + 64

The graph is shown below. Some points of interest on the graph are

Plot these points, and others if you wish, and draw a parabolic curve through them to complete the graph. To generate any (x,y) point, you simply plug in a given value for x to find its corresponding y value.

For example, if you plugged in say x = 1, then,

y = -16x^2 + 64

y = -16*1^2 + 64

y = -16 + 64

y = 48

Do the same for other x values to get the points mentioned earlier. The more points you plot, the more accurate the curve.

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

Part B

From the graph made in part A, we see that the parabola crosses the x axis at (2,0). This is the x intercept marked as point E in the diagram. This is when the ball hits the ground because y = 0, aka the height is 0.

The ball hits the ground at 2 seconds  (ie the ball is in the air for 2 seconds).

There's not much in terms of steps or explanation here because much of that was already done.

Answer:

A.

Step-by-step explanation:

it is A.

Answer: A. 7

Step-by-step explanation:

Given the number 98.327, then we are going to title each digit with a name

9 = tens

8 = ones

3 = tenths

2 = hundredths

7 = thousandths

Therefore, 7 is in the thousandths place

Hope this helps!! :)

Please let me know if you have any questions

Answer:

The answer is "They are similar".

Step-by-step explanation:

They were comparable in this respect because both aspect ratios of the top triangle are one square more. The top triangle is equal to the base triangles if you remove one square away from the height and width.

Otherwise, we can say that it forms all different. The dilation factor which translates that bottom left point of shape I to form II is 2. But this does not map the other shape I vertices onto form II. There's, therefore, no dilation in form I of maps on form II.

Answer:

48√2

Step-by-step explanation:

3√(512)

= 3√(256×2)

= 3√(256)×√(2)

→ we know that 16² = 256 then √(256) = 16

Then

3√(512)

= 3 × 16 ×√(2)

= 48√(2)

Answer:ÑÑÑÑÑÑÑÑÑññÑÑÑÑññññññÑÑÑÑÑÑÑÑÑñÑÑÑÑññ

Step-by-step explanation:

a.x=50°

b.x=22°

Answer:

Solution given:

a:

3x=2*75°[inscribed angle is half of central angle]

3x=150°

x=150°/3=50°

x=50°

b.

<BDC=34°+x[exterior angle is equal to the sum of two opposite interior angle of triangle]

again

<DCB=34°+x[base angle of isosceles triangle]

again

<ABC=90°[inscribed angle on a semi circle is 90°]

Now.

In triangle

ABC

<A+ <B+<C=180°[sum of interior angle of a triangle is 180°]

34°+90°+34°+x=180°

x=180°-90°-68°

x=90°-68°

x=22°

a) Solution

By using the inscribed angle is half of central angle,

→ 3x = 2 × 75

→ 3x = 150

→ x = 150/3

→ x = 50°

Thus, 50° is the value of x.

b) Solution

By using the exterior angle is equal to sum of two opposite interior angle of triangle,

→ <BDC = 34+x

→ <DCB = 34+x

(base angle of isosceles triangle)

→ <ABC = 90°

(inscribed angle on a semi circle is 90°)

Then in ∆ ABC,

By sum of interior angle of a triangle is 180°,

→ <A+<B+<C = 180°

→ 34+90+34+x=180°

→ x = 180°-90°-68°

→ x = 90°-68°

→ x = 22°

Thus, 22° is the value of x.

Answer:

X =30

Step-by-step explanation:

= 60+90

=150

angle sum property

x+150=180

x=180- 150

x= 30

Answer:

Step-by-step explanation:

90 + 60 = 150

(right angles = 90)

There is 180 degrees in a triangle, therefore,

180 - 150 = 30

Therefore, x = 30

p.s. Are you good at history?

p.p.s I dont like summer school either =)

Answer:

B

Step-by-step explanation:

We know that cosθ= adjacent/hypotenuse,  sinθ=opposite/hypotenuse, and tanθ=opposite/adjacent.

Using this, we can first try between cos and sin for A-C. We know that two different angles will not have the same side adjacent to both of them. However, one angle might have an adjacent side that is opposite to another angle. Using this knowledge, we can say that A is incorrect, as two different angles in the same triangle cannot have the same cos value (unless the triangle is isosceles).

For B, we can say that cos A = adjacent/hypotenuse = 12/13, and sin C= opposite/hypotenuse = 12/13. These are equal, but we can double check by making sure the other answers are wrong.

For C, we can tell that B is a right angle, signified by the small square representing the angle. sin(90°) = 1, and cosA = 12/13. These are not equal.

Finally, for D, sin A = opposite/hypotenuse = 5/13, while tan C = opposite/adjacent = 12/5. These are not equal

Answer:

c

Step-by-step explanation:

107 x 3.778 x 125/100 = 4.735 x 1-7

Answer:

Step-by-step explanation:

The trick here is that the equation factors.

y= 2x^2 + 11x + 5

y = (2x + 1)(x + 5)

So either

2x + 1 = 0         subtract 1 from both sides      

2x = - 1             divide by 2  

2x = -1/2

or

x + 5 = 0          Subtract 5 from both sides

x = - 5

Answer: B and D

Answer:

[tex]4x - 20 = 4[/tex]

Step-by-step explanation:

Let the missing number be x

Quadruple means 4 times

So According to the question,

4x - 20 = 4 is your answer

Hope this helps

Answer:

4/3

Step-by-step explanation:

8/9 ÷ 2/3

Copy dot flip

8/9 * 3/2

Rewriting

8/2 * 3/9

4 * 1/3

4/3

Answer:

28.24

Step-by-step explanation:

25 + 32/10 + 4/100

25 + 3.2+ .04

28.24

[tex] \sf25 + \frac{32}{10} + \frac{4}{100} \\ \sf = 25 + 3.2 + 0.04 \\ \sf \: = 28.24[/tex]

Answer:

C. 28.24

Hope you could get an idea from here.

Doubt clarification - use comment section.

Step-by-step explanation:

[tex]ig =2 \times yx = 2 \times 11 = 22[/tex]

Answer:

Step-by-step explanation:

The circumcenter is equidistant from the three vertices of the triangle. From the figure shown, we will prove DA = DB = DC. 2) DA = DB, DC = DB(If a point is on the perp. bisector of a segment, it is equidistant from each endpoint of the segment.)

Range = -4= g(x)

Therefore, g(x) = -3x+2

or, -4=3x +2

or, 3x= -4-2

or, 3x= -6

or, x= -6/3 = -2

OPTION A is the correct answer.

When the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.

To find the domain value when the range value is -4 for the function

g(x) = -3x + 2, we need to solve for x when g(x) = -4.

Given: g(x) = -3x + 2

When the range value is -4, we have:

-3x + 2 = -4

Now, isolate x:

-3x = -4 - 2

-3x = -6

Now, divide by -3 to solve for x:

x = -6 / -3

x = 2

So, when the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.

To know more about range:

https://brainly.com/question/29204101

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