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oksano4ka [1.4K]
3 years ago
9

Pls do it fast

Mathematics
1 answer:
galina1969 [7]3 years ago
3 0

Answer:

solution :

in the given figure AB=10.2cm, AC=14cm, AD=DC and AD perpendicular to BC.

now ,

in rt angle tirangle ADC,

angleACD=45 degree, angle DAC=45 degree now,

in triangle ABD,

angle BAD+angleABD+angleADB=180 DEGREE (sum of the sngle of triangle)

angle BAD+75+30=180

angle BAD=180-165      therefore,angle BAD=15

angle BAC =15+45=60

Area of triangle ABC=1/2×AB×AC×SIN 60

=1/2×10.2×14×√3/2

=61.83cm³ ans

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In finding the sum of 2+5 you would go right on the number line, while in finding the sum of -2+(-5) you would go left on the number line

Step-by-step explanation:

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Find the length of the segment that joins the points (-5, 4) and (6,-3).
Helen [10]

Answer:

\boxed {\boxed {\sf d=\sqrt{170} \ or \  d\approx 13.04}}}

Step-by-step explanation:

We are asked to find the length of a segment or the <em>distance</em> between the 2 points. The formula for distance is:

d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:

  • x₁= -5
  • y₁= 4
  • x₂= 6
  • y₂ = -3

Substitute the values into the formula.

d= \sqrt{(6--5)^2+(-3-4)^2

Solve inside the parentheses.

  • 6--5 (Back to back negative signs become a positive)= 6+5 =11
  • -3-4= -7

d= \sqrt{(11)^2+(-7)^2

Solve the exponents.

  • (11)²= 11*11= 121
  • (-7)²= -7*-7= 49

d= \sqrt {(121)+(49)

Add.

d= \sqrt {170}

d=13.0384048104

Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.

  • 13.03<u>8</u>4048104

d\approx 13.04

The length of the segment is <u>√170</u> or approximately <u>13.04. </u>

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3 years ago
Fourth roots of 256 help me
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Answer:

Fourth root of 256 is ±4.

hope this helps

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4 years ago
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