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2 years ago

Can anyone explain step by step how to get this answer? Will mark branliest!!

Mathematics

2 answers:

Y_Kistochka [10]2 years ago

4 0

Answer:

Step-by-step explanation:

28°

guajiro [1.7K]2 years ago

3 0

Answer:

Step-by-step explanation:

A = cos⁻¹((12.5² + 30.5² - 20.3²) / (2(12.5)(30.5)))

A = cos⁻¹((156.25 + 930.25 - 412.09) / (2(12.5)(30.5)))

A = cos⁻¹(674.41 / 762.5)

A = cos⁻¹0.88447213...

A = 27.8133685...

A = 27.8°

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Limit as x approaches 9 of x^2 -81/sqrt of x - 3

Ipatiy [6.2K]

Answer:

108

Step-by-step explanation:

Limit as x approaches 9 of x^2 -81/sqrt of x - 3

First substitute x into the expression

= 9²-81/√9 - 3

= 81-81/3-3

= 0/0 (indeterminate)

Apply l'hospital rule

= lim x -> 9 d/dx(x²-81)/√x - 3

= lim x -> 9 2x/1/2√x

Substitute x = 9

= 2(9)/1/2√9

=18/1/(2(3)

=18 × 6/1

= 108

Hence the limit of the function is 108

7 0

3 years ago

The value of s for a relationship between number of seconds, x, and number of jumping jacks of an athlete, y, is calculated as 3

melamori03 [73]

Answer:

its B

Step-by-step explanation:

your welcome

5 0

1 year ago

Kari has a box with brand new pencils that are all the same size. She has 1 yellow pencil, 5 blue pencils, and 5 red pencils. Sh

Lana71 [14]

Answer: 9

Step-by-step explanation:

1+5+5-2

4 0

2 years ago

Ten pairs of data yield r = 0.003 and the regression equation =2+3x Also, the mean = 5 What is the best predicted value of y for

Olenka [21]

Answer:

$\hat y(2)=2 +3(2) =8$

C 8.0

Step-by-step explanation:

Assuming the linear model y=mx+b where m is the slope and b the intercept.

For this case the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

$b=\bar y -m \bar x$

After the calculations we see that m=3 and b=2 from the info given by the linear model.

For this case we have the equation obtained by least squares given by:

$\hat y =2 +3x$

Where 2 represent the intercept and 3 the slope. We are interested on the best predicted value of y when x=2.

If we see our linear model we have the equation in terms of y and x. So we can replace directly the value of x=2 into the equation and see what we got:

$\hat y(2)=2 +3(2) =8$

5 0

3 years ago

4) A garden is in the shape of a square with a perimeter of

Leni [432]

Answer:

It costs $154.88 to build the fences.

Step-by-step explanation:

Perimeter of square = $4 \times Side$

We are given that A garden is in the shape of a square with a perimeter of 56 feet.

So, $4 \times side = 56$

Side = $\frac{56}{4}=14 feet$

So, Side of square park = 14 feet

One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside.

Outer length = 14+2+2=18 feet

So, Perimeter of outer fence = $4 \times side = 4 \times 18 = 72 feet$

Cost of fencing 1 foot = $1.21

Cost of fencing 56 feet = $56 \times 1.21=67.76$

Cost of fencing 72 feet = $72 \times 1.21=87.12$

Total cost = 67.76+87.12=154.88

Hence It costs $154.88 to build the fences.

7 0

2 years ago