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3 years ago

PLEASE ANSWER + BRAINLIEST!!!

Mathematics

1 answer:

scoray [572]3 years ago

8 0

Using the law of Cosines:

c^2 = 10^2 + 8^2 - 2*10*8*cos(105)

c^2 = 205.41
c = SQRT(205.41)
c = 14.3
The answer is D

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A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is240 yards, what are its

Setler79 [48]

Answer:

Width = 40 yards

Length = 80 yards

Step-by-step explanation:

Width = x

Length = 2x

2x + 2(2x) = 240 yd

2x + 4x = 240 yd

6x = 240 yd

x = 40

4 0

3 years ago

N = 9

g100num [7]

Answer:

The p-value is 0.809.

Step-by-step explanation:

In this case we need to perform a significance test for the standard deviation.

The hypothesis is defined as follows:

H₀: σ₀ = 4 vs. Hₐ: σ₀ ≤ 4

The information provided is:

n = 9

s = 3

Compute the Chi-square test statistic as follows:

$\chi^{2}=\frac{(n-1)s^{2}}{\sigma_{0}^{2}}$

$=\frac{(9-1)\cdot (3)^{2}}{(4)^{2}}\\\\=\frac{8\times 9}{16}\\\\=4.5$

The test statistic value is 4.5.

The degrees of freedom is:

df = n - 1

= 9 - 1

= 8

Compute the p-value as follows:

$p-value=P(\chi^{2}_{9}>4.5)=0.809$

*Use a Chi-square table.

Thus, the p-value is 0.809.

7 0

3 years ago

Please solve this simple equation: a+3=−3

Reptile [31]

Step-by-step explanation:

a+3=−3

a=-6

!!!!!!!!!!!!!

7 0

3 years ago

Read 2 more answers

90 points please help real answers !!!

Step2247 [10]

Find the length of each side using the distance formula:, then add all three side length for the perimeter.

Area is found by multiplying the base by the height by 1/2.

See attached picture for the answer:

5 0

4 years ago

Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x3 + x +

rjkz [21]

Answer:

The value of $x_2=-1.6923$ .

Step-by-step explanation:

Consider the provided information.

The provided formula is $f(x)=x^3+x+6$

Substitute $x_1=-2$ in above equation.

$f(x_1)=(-2)^3+(-2)+6$

$f(x_1)=-8-2+6$

$f(x_1)=-4$

Differentiate the provided function and calculate the value of $f'(x_1)$

$f'(x)=3x^2+1$

$f'(x)=3(-2)^2+1$

$f'(x)=13$

The Newton iteration formula: $x_2=x_1-\frac{f(x_1)}{f'(x_1)}$

Substitute the respective values in the above formula.

$x_2=-2-\frac{(-4)}{13}$

$x_2=-2+0.3077$

$x_2=-1.6923$

Hence, the value of $x_2=-1.6923$ .

6 0

3 years ago