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ololo11 [35]
3 years ago
12

Find the value of x, rounded to the nearest tenth. Correct answers only please..

Mathematics
1 answer:
agasfer [191]3 years ago
4 0
Sin(35) = Opp./Hypo
sin(35) = 18/x
so
x = 18/sin(35)
x = 18 / 0.57357644
x = 31.38
x = 31.4

Answer is C. 31.4
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Y=2/3(x-5)^2
Anvisha [2.4K]

Answer:

  see below

Step-by-step explanation:

The graph opens upward if the sign of the squared term is positive. If that sign is negative, the graph opens downward. The first three equations open upward; the last opens downward.

The line of symmetry is the value of x that makes the squared term zero. Here, that is x=5 for all equations.

<u>y=2/3(x-5)^2</u>:  A, D

<u>y=1/2(x-5)^2</u>:  A, D

<u>y=3/4(x-5)^2</u>:  A, D

<u>y=-4(x-5)^2</u>:  B, D

8 0
3 years ago
find the equations of the tangents to the curve y= x(x-1)(x+2) at the points where the curve cuts the x axis
antoniya [11.8K]

First of all, we compute the points of interest, i.e. the points where the curve cuts the x axis: since the expression is already factored, we have

x(x-1)(x+2) = 0 \iff x=0\ \lor\ x-1=0\ \lor\ x+2=0

Which means that the roots are

x=0\ \lor\ x=1\ \lor\ x=-2

Next, we can expand the function definition:

y = x(x-1)(x+2) = x^3 + x^2 - 2x

In this form, it is much easier to compute the derivative:

y' = 3x^2+2x-2

If we evaluate the derivative in the points of interest, we have

y'(-2) = 6,\quad y'(0)=-2,\quad y'(1)=3

This means that we are looking for the equations of three lines, of which we know a point and the slope. The equation

y-y_0=m(x-x_0)

is what we need. The three lines are:

y-0=6(x+2) \iff y = 6x+12  This is the tangent at x = -2

y-0=-2(x-0) \iff y = -2x  This is the tangent at x = 0

y-0=3(x-1) \iff y = 3x-3  This is the tangent at x = 1

7 0
3 years ago
Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are inches long, inches wide, and 8 inche
allochka39001 [22]

Answer:

- The number of small boxes that will fill the large box 1 = 64

- The number of small boxes that will fill the large box 2 = 56

Step-by-step explanation:

Complete Question

Items for a fundraiser are packaged in small boxes shaped like rectangular prisms that are 4.5 inches long, 4.5 inches wide, and 8 inches tall. To transport the items to an event, you want to know how many of the small boxes will fit in larger boxes. The larger boxes are available in two sizes. Large Box 1 is 24.25 inches long, 18 inches wide, and 24 inches tall. Large Box 2 is 20.5 inches long, 18.5 inches wide, and 24 inches tall. Both the small and large boxes must remain upright.

Solution

To know how many of the small boxes will fit in larger boxes, we need to obtain the volumes of the small box, large box 1 and large box 2.

Volume of a cuboid = L × W × H

For the small box,

Length = L = 4.5 inches

Width = W = 4.5 inches

Height = H = 8 inches

Volume of the small box = 4.5 × 4.5 × 8 = 162 in³

For large box 1,

Length = L = 24.25 inches

Width = W = 18 inches

Height = H = 24 inches

Volume of the large box 1 = 24.25 × 18 × 24 = 10,476 in³

For large box 2

Length = L = 20.5 inches

Width = W = 18.5 inches

Height = H = 24 inches

Volume of the large box 2 = 20.5 × 18.5 × 24 = 9,102 in³

The number of small boxes that'll fill the large box 1 = (10,476/162) = 64.667 = 64 small boxes (rounded down because the fraction cannot be forced into the large box 1.

The number of small boxes that will fill the large box 2 = (9,102/162) = 56.185 = 56 small boxes.

Hope this Helps!!!

7 0
2 years ago
Estimate the product. Solve using an area model and the standard algorithm. Remember to express your products in standard form.
snow_tiger [21]

Answer:

Step-by-step explanation:

Using the area model and standard algorithm, we have:

                332   (tenths)

         <u> ×       21  </u>

                332

        <u>      664     </u>

        <u>      6972  </u> tenths = 697.2

<u />

              30      +      3      tenths

     1       300           32         332

    20     600           64         664

33.2 × 21 =<u>    30    </u> × <u>    1     </u>  =  <u>      30     </u>

8 0
3 years ago
Grrrr i have no idea what this unit is talking about please help
Kipish [7]

Answer:

SSS Triangle Congruence.

8 0
3 years ago
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