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2 years ago

For parallelogram ABCD, what is the perimeter and measure of AC?

Mathematics

1 answer:

Mkey [24]2 years ago

5 0

Perimeter = 68 Units

Answer:

AC = 30 Units

Step-by-step explanation:

The diagonals AC and BD of parallelogram ABCD are bisecting each other by making 90° angle, this tells us that it is a RHOMBUS.

All sides of rhombus are congruent.

AB = 17 units....(given)

Therefore,

Perimeter = 4*17 = 68 Units

Let diagonals AC and BD intersects at point O.

Therefore, by Pythagoras theorem:

$OA^2 = AB^2 - OB^2 \\ OA= \sqrt{AB^2 - OB^2 } \\ = \sqrt{ {17}^{2} - {8}^{2} } \\ = \sqrt{289 - 64} \\ = \sqrt{225} \\ = 15 \\ \because \: AC = 2\times OA \\ \therefore \: AC = 2\times 15 \\ \therefore \: AC = 30 \: units \\$

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Yesterday noah ran 2 1/2 miles in 3/5 hour. Emily ran 3 3/4 miles in 5/6 hour. Anna ran 3 1/2 miles in 3/4 hour how fast in mile

Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

To calculate the speed of each one we proceed as follows:

speed=distance/time

a] Noah's speed:

distance=2.5 miles

time=3/5 hours

speed=(2 1/2)/(3/5)

=(5/2)/(3/5)

=5/2×5/3

=25/6

=4 1/6 mi/hr

Emily's speed

distance=3 3/4 miles

time=5/6 hour

thus

speed=(3 3/4)/(5/6)

=15/4)/(5/6)

=15/4×6/5

=4 1/2 mi/hr

Anna's speed:

distance=3 1/3 miles

time=3/5

speed=(3 1/3)/(3/5

=(10/3)/(3/5)

=10/3×5/3

=5 5/9 mi/hr

Anna was the fastest

6 0

2 years ago

Read 2 more answers

A parallelogram has sides 10m and 12m and an angle of 45°. Find the distance between the 12m-sides.

stich3 [128]

Answer:

The distance between 12m-sides is $5\sqrt{2}m$ .

Step-by-step explanation:

It is given that the parallelogram has sides 10m and 12m and an angle of 45°.

Draw an altitude from one 12m side to another 12 m side as shown in below figure.

The opposite angles of parallelogram are same. Two angles are obtuse angles and two are acute angle.

Since angle C is acute angle therefore it must be 45 degree.

$\sin\theta=\frac{perpendicular}{hypotenuse}$

$\sin C=\frac{BE}{BC}$

$\sin(45^{\circ})=\frac{d}{10}$

$\frac{1}{\sqrt{2}}=\frac{d}{10}$

$\frac{10}{\sqrt{2}}=d$

$\frac{10}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}=d$

$\frac{10\sqrt{2}}{2}=d$

$5\sqrt{2}=d$

Therefore the distance between 12m-sides is $5\sqrt{2}m$ .

4 0

2 years ago

Evaluate the piecewise function at the indicated values from the domain:

lidiya [134]

In this question, we given a piece-wise function, that has different definitions depending on the domain.

Evaluate the function at x = 0.

The exercise asks for us to evaluate the function at $x = 0$

We have to look at the definition, and see which definition includes $x = 0$ . The equal sign at $x = 0$ is on the second definition, that is:

$f(x) = 1, 0 \leq x < 2$

Thus, at $x = 0$ , the value of the function is 1, and the correct answer is given by option A.

For another example of evaluation of a piece-wise function, you can check brainly.com/question/17966003

7 0

2 years ago

Please help me im stuck

agasfer [191]

Multiply 3 by 2 and you get six I think

8 0

2 years ago

HELP ASAP. Teacher didnt teach us this.

mina [271]

Answer:

A = 624

B = 14.76 or 14.8 or 15inches

Standard form in polynomial for Area = 26 x 24 = .624in^2.....

2(5 + 8) x 2( 5 + 7)

26 x 24 = 624 in^2

This is because the rectangle width indifference is 1/10th of the length measuring 2inches more, then we see both sides of the frame are equal to 2inches and match this measure for x = 2inches both width and length. We add 4 to each side 22 x 20 + 4x^2 we separate 4x^2 into 4x both sides, this has become 26 x 24 = 624in^2

as 4 was added each side.

Question 2.

We find the width is shown left to right in rectangles, they are the sides.

So Area 4 x 24 = 96in^2

or 6.5 of the 24 = 24/6.5 = 3.69 inches

26 /6.5 = scale of 6.5: 26 = 4 inches

Therefore Area = 3.69 x 4 = 14.76

if it was square frame it would be 16inches

Go for 14.76in^2 as ithe question says 4 inches and it becomes, a replaced width only and it must be still to scale as shown above with 24/6.5 = 3.69 so 3,69 x 4 = 14.76. Last resort would be that the length as kept at 24 x 4 = 96 and in this response it does exactly what the question asks the width changes only.

5 0

2 years ago