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Mathematics

1 answer:

Nastasia [14]3 years ago

4 0

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Which of the following expressions represents "no more than 5"?

777dan777 [17]

Answer:

Ox>5

x is less than 5

means nothing more than 5 but anything less than 5

5 0

3 years ago

Trigonometry

Mashcka [7]

The area of the triangle EFG is 7.4 square units.

Explanation:

Given that the measurements of the sides of the triangle are EF = 8, EG = 8 and $m\angle E=22^{\circ}$

We need to determine the area of the triangle EFG

<u>Area of the triangle:</u>

The area of the triangle EFG can be determined using the formula,

$\text {Area}=\frac{1}{2} fg \sin E$

Substituting the values, we get,

$\text {Area}=\frac{1}{2} (5)(8) \sin 22^{\circ}$

Simplifying the values, we have,

$\text {Area}=\frac{1}{2}(40)(0.37)$

Multiplying, we get,

$\text {Area}=\frac{14.8}{2}$

Dividing, we get,

$\text {Area}=7.4$

Hence, the area of the triangle EFG is 7.4 square units.

3 0

2 years ago

The area of the base of the oblique pentagonal pyramid is 50 cm^2 and the distance from the apex to the center of the pentagon i

Verdich [7]

The complete question in the attached figure

Part a)
we know that
ABC is a right triangle
∠ACB=45°
AC=hypotenuse------> 6√2 cm
sin 45=AB/AC-----> AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm

the answer part a) is
AB=6 cm

Part b)
we know that
volume of the pyramid=(1/3)*Area of the base*height
area of the base=50 cm²
height=6 cm
so
volume of the pyramid=(1/3)*50*6----> 100 cm³

the answer part b) is
100 cm³