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3 years ago

What is the length of line segment HJ?

Mathematics

2 answers:

Kamila [148]3 years ago

3 0

The answer is 5 radical 3

Pie3 years ago

3 0

Answer:

b = 5√3 (units)

Step-by-step explanation:

To solve this problem, use the pythagorean theorem, where a^2+b^2 = c^2, a and b are the legs of the triangle and c is the hypotenuse.

In this case, we are finding the missing leg, and we were given one of the legs and the hypotenuse.

a^2+b^2 = c^2 (pythagorean therorm)

5^2+b^2 = 10^2 (substitute one leg and the hypotenuse)

25+b^2 = 100 (square the numbers)

b^2 = 75 (subtract 25 from both sides)

b = √75

b = √25 * √3 (factor out√75)

b = 5 * √3 (find square root of√25)

b = 5√3

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Round place value of 2 in 234,890

nikklg [1K]

The two is in the ➡ hundred thousand

4 0

4 years ago

Help me please..............

larisa [96]

Answer:

a.)48

b.)528

c.)448

Step-by-step explanation:

a.)8x8=64. 4x4=16 64-16=48

b.)48(from a. answer)x11=528

c.)11x8(x2 for the other side)=176. 11x4x4=176.

48x2=96. 176+176+96=448

3 0

3 years ago

The sum of the angle measures of a triangle is 180°. Find the value of x. Then find the angle measures of the triangle.

MAXImum [283]

Answer:

x = 43
43°, 51°, 86°

Step-by-step explanation:

The sum of the angles is ...

x° + (x +8)° + 2x° = 180°

4x +8 = 180 . . . . . . . . . . . collect terms, divide by °

x +2 = 45 . . . . . . . . . . divide by 4

x = 43 . . . . . . . . . . subtract 2

x +8 = 51

2x = 86

The angles are 43°, 51°, 86°.

7 0

2 years ago

A triangle has integer length sides. If two sides of the triangle are 16 and 21, how many possible lengths are there for the thi

r-ruslan [8.4K]

There are 31 possible lengths for the third side.

Unknown Side + 16 > 21

Unknown Side > 5

16 + 21 > Unknown Side

37 > Unknown Side

Unknown Side < 37

So, the possible integer lengths range from

6 - 36

= 36 - 6 + 1

= 31 possible lengths

The length of the third side of a triangle has to continually be among (but not equal to) the sum and the distinction among the alternative facets. As an instance, take the example of two, 6, and seven. and consequently, the 0.33 facet length has to be extra than four and less than eight.

The regulation of Cosines to calculate the unknown aspect, then use the Law of Sines to find the smaller of the opposite angles and then use the 3 angles add to 180° to find the final attitude.

Learn more about triangles here brainly.com/question/2437195

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8 0

2 years ago

A timer is started and a few moments later a model airplane is launched from the ground. Its height (in feet) as a function of t

WITCHER [35]

The airplane reaches its maximum height of 81 feet in 12 seconds.

<h3>Behavior of curves</h3>

If y = $x^{2}$ , it means that the second derivate is 2 which is positive, then there is a minimum turning point.

If y = - $x^{2}$ , it means that the second derivative will be -2 which is negative, then there is a maximum turning point.

Analysis:

h(t) = - $(t - 12)^{2}$ + 81

By expanding,

h(t) = -( $t^{2}$ - 24t + 144) +81

h(t) = - $t^{2}$ + 24t - 144 + 81

h(t) = - $t^{2}$ + 24t - 63

at turning point d/dt(h(t)) = 0

d/dt (h(t)) = -2t +24

-2t +24 = 0

if we differentiate again, second derivative is -2 which is negative, so it is a maximum point.

2t = 24

t = 12 seconds

h(t) at t = 12

h(t) = $-(12)^{2}$ + 24(12) - 63 = 81 feet

In conclusion, the maximum height of the airplane after 12 seconds is 81 feet.

Learn more about minimum and maximum points: brainly.com/question/14993153

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7 0

2 years ago