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3 years ago

Simplify the answer (3 to the 4th power and (3 to the negative 6th power)

Mathematics

1 answer:

AlladinOne [14]3 years ago

8 0

3^4 and 3^-6
multiply, add, subtract?

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Given: ABCD is a trapezoid, AC ⊥ CD AB = CD, AC=the square root of 75 , AB = 5 Find: AABCD

Ugo [173]

In this attached picture according to the conditions of the problem we have an isosceles trapezoid and since we know that legs are equal (AD=BC=5 cm), we have to calculate bases and height in order to find the area. Working with the triangle BCD, we apply Pythagoras theorem and find that CD = $\sqrt{75+25}$ = 10 cm. Since BDC is a right triangle, applying theorem for the area of triangles, we find that $\frac{1}{2} * BF = \frac{1}{2} * 5 * \sqrt{75}$ and BF= $0.5\sqrt{75}$ . Since ABCD is an isosceles trapezoid, triangles ADE and BFC are congruent with Angle Side Angle theorem. Then, DE=FC and with the help of Pythagoras theorem, DE=FC=2.5 cm. Then, AB=EF=5 cm and the area of the trapezoid is $A= BF * \frac{AB+CD}{2} = 0.5 \sqrt{75} * \frac{5+10}{2} = 18.75 \sqrt{3} cm^{2}$

3 0

3 years ago

The segments shown below could form a triangle. 4,3,6 PLZ HELP ASAP

Rzqust [24]

Answer:

Option A. True

Step-by-step explanation:

we know that

<u>The Triangle Inequality Theorem</u>, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

we have

4,3 and 6

Applying the triangle inequality theorem

case 1) 4+3 > 6 -----> is true

case 2) 3+6 > 4 ----> is true

therefore

The given segments could form a triangle

Is true

6 0

3 years ago

I don't know how to solve it?

Grace [21]

Just turn 5/6ths into x/32nds. For example I could turn 1/2 into 2/4. And 2/4 into 4/8.

3 0

3 years ago

Read 2 more answers

Which statement is always true about a trapezoid?

defon

4. It has exactly 2 parallel sides.

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3 years ago

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) y=-3x - 3<br><br> How do you solve this ?

Amiraneli [1.4K]

Answer:

the slope is -3 and the y intercept is -3 because in this type of equation, the equation y=mx+b, the slope is m and the y-intercept is b

Step-by-step explanation:

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3 years ago

Simplify the answer (3 to the 4th power and (3 to the negative 6th power)​

Simplify the answer (3 to the 4th power and (3 to the negative 6th power)