Negative 4 squared + (5 minus 2) (negative 6)

Mathematics

1 answer:

Firlakuza [10]2 years ago

6 0

Answer:

-2

Step-by-step explanation:

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Each leg of a 45-45-90 triangle has a length of 6 units. What is the length of its hypotenuse?

andreyandreev [35.5K]

Use the Pythagorean theorem:
$(\hbox{one leg})^2+(\hbox{the other leg})^2=(\hbox{hypotenuse})^2 \\
6^2+6^2=x^2 \\
6^2 \times 2=x^2 \\
\sqrt{6^2 \times 2}=x \\ \sqrt{6^2} \times \sqrt{2}=x \\ 6\sqrt{2}=x
$

The length of the hypotenuse is 6√2 units.

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3 years ago

Consider that the length of rectangle A is 10 cm and its width is 6 cm. Which rectangle is similar to rectangle A? A) A rectangl

HACTEHA [7]

ANSWER

B) A rectangle with a length of 15 cm and a width of 9 cm.

EXPLANATION

The given rectangle, A, has length, 10cm and its width is 6cm.

The rectangle that is similar to rectangle A, has the corresponding sides in the same proportion.

For option A, the triangle has length 9cm and width 6cm.

The ratio of the corresponding sides are:

$\frac{10}{9} \ne \frac{6}{6}$

Since the ratios are not equal, the two triangles are not similar.

For the triangle in option B, the length is 15cm and the width is 9cm.

The ratio of the corresponding sides are:

$\frac{10}{15} = \frac{6}{9} = \frac{2}{3}$

Since the sides of the triangle are in the same proportion, the two triangles are similar.

For option C, the proportions are not the same.

$\frac{10}{14} \ne \frac{6}{7}$

The proportions are not the same for the triangle in option D.

$\frac{10}{12} \ne \frac{6}{8}$

8 0

3 years ago

soymeal is 14 percent protein cornmeal is 7 percent protein how many pounds of each should be mixed together in order to get 280

erma4kov [3.2K]

Let the weight of soymeal be s, and let the weight of cornmeal be c.
You need a total of 280 lb, so that gives us one equation.

s + c = 280

Now we use the protein to write another equation.
The protein in s lb of soymeal is 0.14s.
The protein in c lb of cornmeal is 0.07c.
The protein in 280 lb of 0.09% protein mix is 0.09(280).
This gives us a second equation.

0.14s + 0.07c = 0.09(280)

Now we solve the two equations as a system of equations.

s + c = 280
0.14s + 0.07c = 0.09(280)

Solve the first equation for s and plug in tot eh second equation.

s = 280 - c

0.14(280 - c) + 0.07c = 25.2

39.2 - 0.14c + 0.07c = 25.2

-0.07c = -14

c = 200

Now we substitute c = 200 in the first equation to find s.

s + 200 = 280

s = 80

Answer: 200 lb of soymeal and 80 lb of cornmeal

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3 years ago

Another day for brainliests if u answer my questions right :D

Mumz [18]

Because they will give you the same answers lol

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3 years ago

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The total charge on 7 particles is −42 units. All the particles have the same charge.

qwelly [4]

If they have the same charge
x+x+x+x+x+x+x=-42
7x=-42
x=-6
so to check our answer
-6-6-6-6-6-6-6=-42
-12-12-12-6=-42
-24-18=-42
-42=-42

5 0

4 years ago

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