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2 years ago

Which situation is most likely to have a constant rate of change?

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

3 0

Answer:

Step-by-step explanation:

each brick is the exact same size.

(Also can I please have brianliest? I need it to level up!!!)

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Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.

melamori03 [73]

Answer:

$6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}$

Step-by-step explanation:

The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.

Vertices A, B, and C form a right triangle with legs $AB=3$ , $BC=4$ , and $AC=5$ . The two legs, 3 and 4, represent the triangle's height and base, respectively.

The area of a triangle with base $b$ and height $h$ is given by $A=\frac{1}{2}bh$ . Therefore, the area of this right triangle is:

$A=\frac{1}{2}\cdot 3\cdot 4=\frac{1}{2}\cdot 12=6\:\mathrm{cm^2}$

The other triangle is a bit trickier. Triangle $\triangle ADC$ is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:

$A=\sqrt{s(s-a)(s-b)(s-c)}$ , where $a$ , $b$ , and $c$ are three sides of the triangle and $s$ is the semi-perimeter ( $s=\frac{a+b+c}{2}$ ).

The semi-perimeter, $s$ , is:

$s=\frac{5+5+4}{2}=\frac{14}{2}=7$

Therefore, the area of the isosceles triangle is:

$A=\sqrt{7(7-5)(7-5)(7-4)},\\A=\sqrt{7\cdot 2\cdot 2\cdot 3},\\A=\sqrt{84}, \\A=2\sqrt{21}\:\mathrm{cm^2}$

Thus, the area of the quadrilateral is:

$6\:\mathrm{cm^2}+2\sqrt{21}\:\mathrm{cm^2}=\boxed{6+2\sqrt{21}\:\mathrm{cm^2}}$

4 0

2 years ago

Find the area of the shaded region in the figure below, if the radius of the outer circle is 8 and the radius of the inner circl

Inessa05 [86]

Answer:

48 π

Step-by-step explanation:

Area of Circle =πr∧2

Big Circle Area = π(8)∧2 = 64π

Small Circle Area =π(4)∧2= 16π

Shaded Region = 64π - 16π = 48π

4 0

2 years ago

Quick algebra 1 assignment for 50 points!

Sergeeva-Olga [200]

The example on direct variation is illustrated below based on the information given.

<h3>How to illustrate the direct variation?</h3>

An example will be:

When x = 2, y = 10. Find the value of y when x is 6.

In this case, this will be calculated thus:

y = kx

10 = 2k

k = 10/2

k = 5

Since y = kx.

y = 5 × 6

y = 30

The value of y is 30.

Learn more about variation on:

brainly.com/question/25215474

#SPJ1

3 0

1 year ago

10 points

marishachu [46]

Answer:

150+12x=630

Step-by-step explanation:

The x represents the amount of months and it is multiplied by 12 because each month costs 12$. 150 have to be paid up front and this added to the monthly fee is equal to 630$

3 0

2 years ago

Determine the solutions to the quadratic function

Charra [1.4K]

Answer:

Step-by-step explanation:

5 0

2 years ago