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3 years ago

5,268.9284 to the nearest thousand.

Mathematics

2 answers:

Cerrena [4.2K]3 years ago

7 0

It's 5,000 or 5,268.9284

Marysya12 [62]3 years ago

3 0

The next bigger thousand is 6,000 .
The next smaller thousand is 5,000 .

5,2--.---- is closer to 6,000 than it is to 5,000 .

So the nearest thousand is 5,000 .

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In parallelogram ABCD, AD = 12 in, m∠C = 46º, m∠DBA = 72º. Find the area of ABCD

dmitriy555 [2]

Answer:

The area of parallelogram ABCD is $78.42 \mathrm{in}^{2}$

Explanation:

Given:

AD = 12 in

$m \angle C=46^{\circ}$

$m \angle D B A=72^{\circ}$

To Find:

The area of parallelogram ABCD=?

Solution:

When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.

The area of the parallelogram can be calculated by $a b * \sin (a n g l e)$

Substituting the value of a=12 we have

$\text { Area of parallelogram }=12 * \text { bsin } 46$

<u>To find the value of b, </u>

We know that area of a triangle can be expressed as,

$\text { Area of triangle }=(A b / 2) \sin (\text {angle})$

So,

$(12 * B D / 2) * \sin 46=(A B * B D / 2) * \sin 72$

Cancelling BD and 2 on both sides we get,

$12 * \sin 46=A B * \sin 72$

$A B=12 * \frac{\sin 46}{\sin 72}$

Therefore,

$b=\frac{12 \sin 46}{\sin 72}$

Substituting the value of b,

$=12 *\left(\frac{12 \sin 46}{\sin 72}\right) * \sin 46$

=78.42

So the area of the parallelogram is $78.42 \mathrm{in}^{2}$

6 0

4 years ago

Read 2 more answers

If Gina leaves now and drives at 66km/h she will reach Alton just in time for her appointment on the other hand if she has lunch

Stolb23 [73]

Answer:

165km

Step-by-step explanation:

If Gina leaves now and drives at 66km/h she will reach Alton just in time for her appointment

Now:

Distance=Speed X Time

D=66 X t=66t.....(I)

If she leaves in 40 minutes,and she must get there at the same time, her new drive time will be:

t hours - 40 minutes

=(t-40/60)hours=( t-2/3) hours

Her Distance this time

D=90(t-2/3)=90t-60.....(ii)

Since the distance to Alton does not change, we equate (I) and (ii)

66t=90t-60

60=90t-66t

60=24t

t=2.5 hours

From equation (I)

Distance=66t=66X2.5=165km

Distance to Alton is 165km.

3 0

3 years ago

20 points

blsea [12.9K]

The answer I think is 2+7+0.15x_>15

6 0

3 years ago

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What shape is the base of a pentagonal pyramid ?

Likurg_2 [28]

Answer:

Step-by-step explanation:

The regular pentagonal pyramid has a base that is a regular pentagon and lateral faces that are equilateral triangles.

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3 years ago

10 km, 7 km, 13 km<br> Is the triangle acute, right, or obtuse

LiRa [457]

Answer:

The triangle is acute.

Step-by-step explanation:

This is because each side is less than 90 degrees which would make the angles acute which would make the whole triangle acute.

8 0

4 years ago