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3 years ago

Please help this is due in like ten minutes.

Mathematics

1 answer:

Minchanka [31]3 years ago

5 0

Answer:

x = $\sqrt{14}$

Step-by-step explanation:

Using Pythagoras' identity in both tight triangles.

First in the small triangle to find the third side ( hypotenuse ) h

h² = 1² + 1² = 1 + 1 = 2 ( take square root of both sides )

h = $\sqrt{2}$

Now use the identity in the larger right triangle

x² + h² = 4²

x² + ( $\sqrt{2}$ )² = 16

x² + 2 = 16 ( subtract 2 from both sides )

x² = 14 ( take square root of both sides )

x = $\sqrt{14}$

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2 years ago

What is the radius of the sphere?

shepuryov [24]

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4 years ago

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hoa [83]

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3 years ago

What is the volume of the square pyramid with base edges 32 mm and slant height 34 mm?

leonid [27]

Answer:

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Step-by-step explanation:

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h: height

Thus, it is necessary to find the value of h, by using the Pitagoras's theorem, one half of the base and the slant height (which forms a rectangle triangle with h):

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4 years ago

An illusionist needs up to 10 volunteers for a show. The illusionist needs no fewer than 4 female volunteers. Let x represent th

Tems11 [23]

Answer:

FIRST OPTION.

THIRD OPTION.

FIFTH OPTION.

Step-by-step explanation:

Let be "x" the number of of female volunteers and "y" the number of male volunteers.

You need to remember the meaning of the inequalities symbols:

: Less than.

$>$ : Greater than.

$\leq$ : Less than or equal to.

$\geq$ : Greater than or equal to.

In this case you know that the illusionist needs up to 10 volunteers, which indicates that the total number of volunteers can be less than or equal to 10 people. The inequality that represents this is:

$x+y\leq 10$

According to the exercise, the illusionist needs no fewer than 4 female volunteers. This means that number of female volunteer must be greater than or equal to 4:

$x\geq 4$

Since the number of female volunteers could be 10 (Because can be greater than 4), it could not be male volunteers. This means that:

$y\geq 0$

7 0

4 years ago

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