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1 year ago

Geometry please answer

Mathematics

1 answer:

nika2105 [10]1 year ago

3 0

Answer: 8

Step-by-step explanation:

$\frac{180(n-2)}{n}=135\\180(n-2)=135n\\180n-360=135n\\-360=-45n\\n=\boxed{8}$

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Is 1.202 meters longer than 1.29 meters?

Elena L [17]

No it's longer because 1.29 is bigger

7 0

3 years ago

There are 9.88 grams of sugar in 4 servings of grapes. How many grams of sugar are in a single serving of grapes?

Korolek [52]

Ok so grapes,

We have 4 servings and 9.88 grams total, so to find one serving we just need to divide by 4.

9.88/4 = 2.47 per serving

8 0

3 years ago

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?

HACTEHA [7]

Answer:

Option (1)

Step-by-step explanation:

Fundamental theorem of Algebra states degree of the polynomial defines the number of roots of the polynomial.

8 roots means degree of the polynomial = 8

Option (1)

f(x) = (3x² - 4x - 5)(2x⁶- 5)

When we multiply (3x²) and (2x⁶),

(3x²)(2x⁶) = 6x⁸

Therefore, degree of the polynomial = 8

And number of roots = 8

Option (2)

f(x) = (3x⁴ + 2x)⁴

By solving the expression,

Leading term of the polynomial = (3x⁴)⁴

= 81x¹⁶

Therefore, degree of the polynomial = 16

And number of roots = 16

Option (3)

f(x) = (4x² - 7)³

Leading term of the polynomial = (4x²)³

= 64x⁶

Degree of the polynomial = 6

Number of roots = 6

Option (4)

f(x) = (6x⁸ - 4x⁵ - 1)(3x² - 4)

By simplifying the expression,

Leading term of the polynomial = (6x⁸)(3x²)

= 18x¹⁰

Degree of the polynomial = 10

Therefore, number of roots = 10

3 0

3 years ago

A grower believes that one in five of his citrus trees are infected with the citrus red mite. How large a sample should be taken

kotegsom [21]

Answer: 68

Step-by-step explanation:

Formula for sample size when prior estimate of population proportion (p) is available: $n=p(1-p)(\dfrac{z^*}{E})^2$

, where z*= critical-value.

E= Margin of error.

Let p be the population proportion of trees are infected with the citrus red mite.

As per given , we have

$p=\dfrac{1}{5}=0.2$

E= ± 0.08

The critical z-value corresponding to 90% confidence level = z*=1.645

Substitute all the values in the above formula , we get

Required sample size : $n=(0.2)(1-0.2)(\dfrac{(1.645)}{0.08})^2$

$\Rightarrow\ n=(0.2)(0.8)(20.5625)^2$

$\Rightarrow\ n=0.16(422.81640625)\\\\\Rightarrow\ n=67.650625\approx68$ [Rounded to next integer.]

Thus, the minimum sample size should be taken =68

6 0

2 years ago

What is 4 plus 4 hehe

Lynna [10]

Answer:

(plus = +)

-,-

Step-by-step explanation:

<h2>Hope it helps! </h2>

4 0

2 years ago