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3 years ago

The ratio of dogs to cats at the pet store is 2:5. If there are 14 total pets, how many dogs and cats are there? *

Mathematics

1 answer:

vodomira [7]3 years ago

4 0

Answer:

4 Dogs and 10 Cats

Step-by-step explanation:

2*2=4

5*2=10

4:10

Hope this helped!

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A Product<br> What is the product of 4.01 x 10-5 and 2.56 x108?

timama [110]

Answer:

9704.448

Step-by-step explanation:

(4.01)(10)−5

=35.1

(2.56)(108)

=276.48

(276.48)(35.1)

=9704.448

7 0

4 years ago

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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 $78.42 \mathrm{in}^{2}$

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4 years ago

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Solve the system of equations. 3x – 4y = 8 18x – 5y = 10 x= y =<br>

Zepler [3.9K]

Answer:

Step-by-step explanation:

Solution by substitution method

3x-4y=8

and 18x-5y=10

Suppose,

3x-4y=8→(1)

and 18x-5y=10→(2)

Taking equation (1), we have

3x-4y=8

⇒3x=4y+8

⇒x=( 4y+8)/ 3 →(3)

Putting x= (4y+8 )/3 in equation (2), we get

18x-5y=10

18( (4y+8) /3) -5y=10

⇒24y+48-5y=10

⇒19y+48=10

⇒19y=10-48

⇒19y= -38

⇒y=- 38 /19

⇒y= -2→(4)

Now, Putting y=-2 in equation (3), we get

x=4y+8

x= (4(-2)+8) /3

⇒x= (-8+8)/ 3

⇒x= 0/ 3

⇒x=0

∴x=0 and y= -2

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3 years ago

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Sati [7]

So you need help with creating the table ?

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3 years ago

Subtract --4x2 + 3x - 7 from 8x2 + 2x - 3

r-ruslan [8.4K]

Answer:

Steps ig

((8x2) +2x(-3)))-(((-(-4)) x 2) +( 3 x( -7)) =23

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3 years ago