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anzhelika [568]
4 years ago
14

The length of the base of a triangle is 8.5 cm and its height is 5.4 cm. If the area of the triangle is half of the product of i

ts base length and height, the area of the triangle is
Mathematics
1 answer:
LenKa [72]4 years ago
4 0

Answer:

22.95

Step-by-step explanation:

.5*8.5*4.5

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If sinX= 0.9, what is the value of cos X?<br><br> Round the value to the nearest thousandth.
SSSSS [86.1K]

Answer: sqrt(19)/10

Step-by-step explanation:

sinx=0.9

x=arcsin(0.9)


Insert x for cos(x):

cos(arcsin(0.9)=

Use identify cos(arcsin(x))=\sqrt{1-x^{2} }, so

\sqrt{1-(\frac{9}{10})^{2}} =\sqrt{\frac{19}{100} } =\frac{\sqrt{19}}{10}


Sorry if this is confusing.



6 0
3 years ago
The base of an isosceles triangle is one and a half times the length of the other two sides.A smaller triangle has a perimeter t
Anna11 [10]

Answer:

Perimeter of the smaller triangle = 1.75x

Step-by-step explanation:

Let the two equal sides of an isosceles triangle = x

Therefore, length of the base = (1\frac{1}{2})x

Perimeter of this isosceles triangle = x + x + (1\frac{1}{2})x

                                                          = 2x + (1+\frac{1}{2})x

                                                          = 2x + x + \frac{x}{2}

                                                          = \frac{5x}{2}

Since, smaller triangle has a perimeter that is half the perimeter of the larger triangle,

Length of each corresponding side of smaller triangle will be half of the larger triangle.

Length of sides of the smaller triangle = \frac{x}{2},\frac{x}{2},(1\frac{1}{2})\frac{x}{2}

Perimeter of the smaller triangle = \frac{x}{2}+\frac{x}{2}+(1\frac{1}{2})\frac{x}{2}

                                                      = x + \frac{x}{2}+\frac{x}{4}

                                                      = \frac{3}{2}x+\frac{x}{4}

                                                      = \frac{6}{4}x+\frac{x}{4}

                                                      = \frac{7}{4}x

                                                      = 1.75x

Therefore, expression that represents the perimeter of the smaller triangle is (1.75x)        

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