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3 years ago

Combine these radicals. -6/100 + 736

Mathematics

1 answer:

mash [69]3 years ago

6 0

Answer:

Step-by-step explanation:

-6/100 + 736 = -6/100 + (736 ×100)/100

= -6/100 + 73600/100

= (73600 - 6) /100

-6/100 + 736 = 73594/100

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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

3 years ago

HELP PLZ

ollegr [7]

Answer:

a. ∠D'A'B'

Step-by-step explanation:

From the graph it is clear that the transformation doesn't affect the size and shape of the figure ABCD.

Only the coordinates of the points are changed with the length of each side remaining the same.

Hence the corresponding angle values will also remain unaltered.

∴ ∠DAB = ∠D'A'B'

5 0

3 years ago

PLEASE HELP ME FAST!!!! ( It's about y-intercept)

Hoochie [10]

Answer:

y = 6x -7

Step-by-step explanation:

1. The equation of any line in slope-intercept form is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. Given that the slope is 6, we plug that value in m, and given that the y-intercept is -7, we plug that value in b:

y = mx + b
y = 6x - 7

5 0

3 years ago

Assume that the notation (a,r,s,t) means multiply q and r, then add the product to s and (2,6,4,8)+(4,7,2,6)? Please show work a

Mama L [17]

<h3>Answer: 7.0 (choice E)</h3>

=============================================

Work Shown:

$\perp (q,r,s,t) = \frac{qr + s}{t}\\\\\perp (2,6,4,8) = \frac{2*6 + 4}{8}\\\\\perp (2,6,4,8) = \frac{12 + 4}{8}\\\\\perp (2,6,4,8) = \frac{16}{8}\\\\\perp (2,6,4,8) = 2\\\\$

Let m = 2 so we can use this result later.

$\perp (q,r,s,t) = \frac{qr + s}{t}\\\\\perp (4,7,2,6) = \frac{4*7 + 2}{6}\\\\\perp (4,7,2,6) = \frac{28 + 2}{6}\\\\\perp (4,7,2,6) = \frac{30}{6}\\\\\perp (4,7,2,6) = 5\\\\$

Let n = 5 so we can use this result later.

Add the two results.

m+n = 2 + 5 = 7.0 is the final answer.

5 0

2 years ago

Which shows another way to write 73?

nata0808 [166]

None of the above, 3<span>× 3 × 3 × 3 × 3 × 3 × 3= 2187, 7 x 3= 21, 7x7x7= 343, and 7+7+7 is 21.</span>

8 0

3 years ago

Read 2 more answers