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svp [43]
3 years ago
13

Solve for a: 7a = 63

Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

Answer:

a = 9

Step-by-step explanation:

7a = 63

Divide 7 on both sides,

=> 7a/7 = 63/7

=> a = 9

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Pythagorean theorem 19^2 + 21^2=x^2
alexira [117]

Answer:

x = 28.32 units.

Step-by-step explanation:

Given:

Longer leg = 21

Shorter leg = 19

Hypotenuse = x

To Find:

Hypotenuse = x = ?

Solution:

Pythagoras Theorem States that

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting of the given value above equation we get

x^{2} =21^{2}+ 19^{2}\\ \\x^{2}=441 + 361\\\\x^{2}=802\\ \therefore x=\pm\sqrt{802} \\\textrm{as x cannot be negative}\\\therefore x=\sqrt{802}\\\\\therefore x=28.319\ units\\\therefore x=28.32\ units

7 0
3 years ago
Read 2 more answers
Recipe ingredients remain jn a constant ratio no matter how many serving are prepared. Which table shows a possible ratio table
djverab [1.8K]

Answer:

The last table (the bottom one)

Step-by-step explanation:

The ingredients having the same ratio means that, for every number of servings, we should have:

Y/X = constant.

So, for the first table when we have 1 serving, the quotient is:

Y/X = 2/1 = 2

when we have two servings:

Y/X = 3/2 = 1.5

The ratios are different.

Then this is not the correct option.

For the second table, when we have 1 serving the ratio is:

Y/X = 2/1 = 2

when we have two servings:

Y/X = 4/2 = 2

when we have 3 servings:

Y/X = 8/3 = 2.66

This is not the correct option.

For the third table:

1 serving:

Y/X = 2/1 = 2

2 sevings

Y/X = 3/2 = 1.5

This is not the correct option.

fourth table:

1 serving:

Y/X = 2/1 = 2

2 servings

Y/X = 4/2 = 2

3 servings

Y/X = 8/4 = 2

Here we can see that the ratio is always the same, then the ratio remains constant.

This is the table that shows a possible ratio for ingredients X and Y,

5 0
3 years ago
When determining the volume of a shape, you should use cubic units in your final answer. true or false.
Phoenix [80]

Answer:

true

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
PLZ HELP!
Shtirlitz [24]

Answer:

vertex and x= -b/2a = 0

second point, when x=1, y=3

third point the mirror of the second point over the vertex

Step-by-step explanation:

Do as described

8 0
3 years ago
A right triangle has two equal sides. The hypotenuse is 10 cm. What is the perimeter of the triangle?
Scorpion4ik [409]

Answer:

Isosceles Right Triangle Example

Step-by-step explanation:

Find the area and perimeter of an isosceles right triangle whose hypotenuse side is 10 cm. Therefore, the length of the congruent legs is 5√2 cm. Therefore, the perimeter of an isosceles right triangle is 24.14 cm.

Hope this answer helps ^^

4 0
3 years ago
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