Find the lenght of thir side if neccesary round to the nearest tenth 12 5

What is the sum os the interior angles of the polygon?

RSB [31]

To find the suum the formula is (n - 2) x 180 degrees

4 0

4 years ago

marathon runner runs26.2 miles at the pace of 6.2 minute per mile round off answer to the nearest minute how long will it take t

Scorpion4ik [409]

There are several methods of rounding, but in this case the 'best' one is probably to round up. Rounding down suggests that Kathy actually ran faster.

26.2 (mile) * 6.2 (minutes/mile) = 162.44 rounded up => 163 minutes.

3 0

3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s) the degree of th

Artyom0805 [142]

Answer:

Degree of the function = 5

y-intercept = (0, 12)

Step-by-step explanation:

Degree of a polynomial function is determined by the degree of the term having highest degree.

In the given function,

f(x) = -(x + 1)²(2x - 3)(x + 2)²

(x + 1)² → highest degree term = x²

(2x - 3) → highest degree term = x

(x + 2)² → highest degree term = x²

When we multiply these terms,

(x + 1)²(2x - 3)(x + 2)² highest degree term of the function will be,

$x^{2} \times x \times x^{2} = x^{5}$

Therefore, degree of the function = 5

For y-intercept,

f(0) = -(0 + 1)²(0 - 3)(0 + 2)² = 12

Therefore, y-intercept of the function is (0, 12)

3 0

4 years ago

But, during the same summer, teachers stopped wearing high heels; each of them became 4% shorter. Copy and fill in the chart. Te

alexgriva [62]

Answer:

It is given that,

'When the teachers stopped wearing heels, they became 4% shorter'.

So, the relation becomes,

Height without heels = Height with heels - 4% of height with heels

Then, we have,

1. Ms. Mathey is 190 cm with heels.

So, Ms. Mathey = 190-4% of 190 = 190 - 7.6 = 182.4 cm without heels

2. Mrs. Meansy is 162.5 cm with heels.

So, Mrs. Meansy = 162.5-4% of 162.5 = 162.5 - 6.5 = 156 cm without heels

3. Ms. Cool is 140 cm with heels.

So, Ms. Cool = 140-4% of 140 = 140 - 5.6 = 134.4 cm without heels

Also, the relation can be written as,

Height with heels = Height without heels + 4% of height without heels

4. Miss Short is 155.1 cm without heels

So, Miss Short = 155.1+4% of 155.1 = 155.1+6.2 = 161.3 cm with heels

5. Miss Lora is 159.8 cm without heels

So, Miss Lora = 159.8+4% of 159.8 = 159.8+6.4 = 166.2 cm with heels

Thus, the final table is,

Height with Heels Height without Heels

Ms. Mathey 190 cm 182.4 cm

Mrs. Meansy 162.5 cm 156 cm

Ms. Cool 140 cm 134.4 cm

Miss Short 161.3 cm 155.1 cm

Miss Lora 166.2 cm 159.8 cm

8 0

3 years ago

"The volume of the trapezoidal prism is 1279.152 cubic feet. Determine the height of the trapezoidal base"

Diano4ka-milaya [45]

Answer:

The height of the trapezoidal base is 7.2 ft.

Step-by-step explanation:

Consider the provided information.

The volume of trapezoidal prism is the area of the cross-section × the length.

$V=BH$

Where B is the area of base, H is the length and V is the volume.

The length of the prism is 25.2ft and volume is 1279.152

$1279.152=B(25.2)$

$B=50.76$

Hence, the base area is 50.76 ft².

The base is trapezoid.

The area of trapezoid is $B=\frac{1}{2}(b_1+b_2)h$

Substitute B=50.76, $b_1=10\ and\ b_2=4.1$ in above formula.

$50.76=\frac{1}{2}(10+4.1)h$

$50.76=7.05h$

$h=7.2$

Hence, the height of the trapezoidal base is 7.2 ft.

4 0

3 years ago