Find the value of x so that f(x)=7

What is the height of a triangular base of a paperweight with a volume of 96 cubic inches, length is 8 in and with is 6 inches?

castortr0y [4]

Answer:

4 inches

Step-by-step explanation:

Triangular prism formulas

Volume = 0.5 * b * h * length, where b is the length of the base of the triangle, h is the height of the triangle and length is prism length. area = length * (a + b + c) + (2 * base_area) , where a, b, c are sides of the triangle and base_area is the triangular base area.

How to find the height of a triangle - formulas

area = b * l / 2, where b is a base, l - length.

so l = 2 * area / b/w-width.

Solve

1/2 x 6 x 8 x ? = 96

2 x 96 = 192

192/8 = 24

24/6 = 4

length = 4 inches

7 0

3 years ago

The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 less than its length. Find the length and the

hram777 [196]

Perimeter = 72m
length = x
width = x - 4

P = 2l + 2w
72 = 2x + 2(x - 4)
72 = 2x + 2x - 8
72 = 4x - 8
72 + 8 = 4x
80 = 4x
80/4 = x
x = 20

Therefore, the length = 20m and width = 16m

8 0

3 years ago

A sample of 66 obese adults was put on a low-carb diet for a year. The average weight loss was 11 pounds and the standard deviat

Illusion [34]

Answer:

The 99% lower confidence bound for the true average weight loss is 3.98 pounds.

This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.575*\frac{19}{\sqrt{66}} = 6.02$

The lower end of the interval is the sample mean subtracted by M. So it is 11 - 6.02 = 3.98 pounds

The 99% lower confidence bound for the true average weight loss is 3.98 pounds.

This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.

7 0

3 years ago

Read 2 more answers

If y varies inversely as x, find the constant of variation if y = 100 when x = 0.2.

sattari [20]

Inverse variation is of the form yx=k, we are given the point (0.2, 100) so we can solve for k, the constant of variation...

0.2(100)=k

20=k

6 0

4 years ago

Na którym rysunku narysowano symetralną odcinka KL? Która z tych liter nie ma osii symetrii?

tensa zangetsu [6.8K]

Answer:

- Only Drawing D has KL being a symmetrical segment.

- Drawings A, B and C have no axis of symmetry.

- Tylko rysunek D ma KL będący segmentem symetrycznym.

- Rysunki A, B i C nie mają osi symetrii.

Step-by-step explanation:

English Translation

In which drawing was the symmetrical segment of KL drawn? Which of these letters has no axis of symmetry?

Solution

The attached image to the question is presented in the attached image to this Solution.

Symmetry is a concept where a figure/shape has half of its part being a mirror image of the other part.

About the line or axis of symmetry, the structure or figure can be rotated at right angles or whole number multiples of right angles and the resulting structure is still the same as the one we started with.

Of the 4 drawings, only drawing D satisfies this conditions/criteria. And Hence, it is the only drawing amongst the four with an axis of symmetry.

In Polish/Po polsku

Załączony obraz do pytania jest przedstawiony na załączonym obrazku do tego rozwiązania.

Symetria to koncepcja, w której figura / kształt ma połowę swojej części stanowiącą odbicie lustrzane drugiej części.

W odniesieniu do linii lub osi symetrii, strukturę lub figurę można obracać pod kątem prostym lub wielokrotności liczby całkowitej pod kątem prostym, a wynikowa struktura jest nadal taka sama jak ta, od której zaczęliśmy.

Z 4 rysunków tylko rysunek D spełnia te warunki / kryteria. I dlatego jest to jedyny rysunek wśród czterech z osią symetrii.

Hope this Helps!!!

Mam nadzieję że to pomoże!!!

3 0

3 years ago