4 teammates share 5 granola bars equally how much does each person gets

The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times l

eduard

1.) 3x

2.) area

3.) six

4.) 3/2

:)

8 0

3 years ago

On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 11 and length of 9

Studentka2010 [4]

The image of the arrow is missing, so i have attached it.

Answer:

A_t = 69.5 cm²

Step-by-step explanation:

In a second image attached, I have divided the arrow into triangle and rectangle.

From the second image,

A1 is area of triangle while A2 is area of rectangle

Area of triangle is; A1 = ½bh

Our triangle base is given as 9 cm.

To get the height, we will subtract the rectangle height of 8 cm from the total arrow height.

Thus; height of triangle; h = 11 - 8 = 3cm

Thus;

A1 = ½ × 9 × 3

A1 = 13.5 cm²

Formula for area of rectangle is;

A2 = length × breadth

A2 = 8 × 7

A2 = 56 cm²

Thus, total area of arrow is;

A_t = A1 + A2 = 13.5 + 56

A_t = 69.5 cm²

8 0

3 years ago

Suppose a horticulturist measures the aboveground height growth rate of four different ornamental shrub species grown in a green

torisob [31]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The decision is to reject the null hypothesis at a significant level of significance $\alpha = 0.05$ There is sufficient evidence to conclude that at least one of the population mean is different from at least of the population

Step-by-step explanation:

From the question we are told that the claim is

The mean growth rates of all four species are equal.

The null hypothesis is

$H_o : \mu _1 = \mu_2 = \mu_3 = \mu_4$

Th alternative hypothesis is

$H_a: at \ least \ one \ of \ the \ means \ is \not\ equal$

From question the p-value is $p-value = 0.015$

And since the $p-value < \alpha$ so the null hypothesis will be rejected

So

The decision is to reject the null hypothesis at a significant level of significance $\alpha = 0.05$ There is sufficient evidence to conclude that at least one of the population mean is different from at least of the population

7 0

3 years ago

Which information is sufficient to prove that quadrilateral ABCD is a parallelogram? A)∠A≡∠C. B) AB=CD. C)∠A and ∠C are suppleme

r-ruslan [8.4K]

The one bit of information that is sufficient is ...
D) the diagonals bisect each other.

_____
While selections A and B are necessary, they are not sufficient. Choice C is not applicable to a parallelogram.

6 0

3 years ago

Two angles form a linear pair. The measure of one angle is 16∘ greater than the measure of the other angle. Find the measure of

Agata [3.3K]

A) Angle 1 + Angle 2 = 180

B) Angle 1 - Angle 2 = 16

Adding both equations:

2 * Angle 1 = 196

Angle 1 = 98

Angle 2 = 82

4 0

4 years ago