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3 years ago

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Mathematics

1 answer:

Vadim26 [7]3 years ago

4 0

I don’t see the triangles srry couldn’t help

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In the diagram below of triangle GHIGHI, JJ is the midpoint of \overline{GI} GI and KK is the midpoint of \overline{HI} HI . If

telo118 [61]

Answer:

25.5

Step-by-step explanation:

2( -21+9x)=2x+18

-42+18x=2x+18

+42 +42

18x=2x+60

-2x -2x

16x=60

60/16=3.75

x=3.75

GH=2x+18

2(3.75)+18

7.5+18=25.5

GH=25.5

4 0

3 years ago

A stainless steel patio heater is a square pyramid. The length of one side of the base is 22.2 in. The slant height of the pyram

Mice21 [21]

Answer:

<h2>The height is 87.5 in</h2>

Step-by-step explanation:

We can solve the height of a square pyramid using the Pythagoras theorem, this is because the slant height the height and the section of the base form a right triangle

the slant height is equivalent to the hypotenuse

the height is equivalent to the opposite

while the base(half) is the adjacent

Given

the base of the pyramid= $22.2 in$

the adjacent is = $\frac{22.2}{2} = 11.1 in$

the slant height (hypotenuse)= $88.2 in$

we know that Pythagoras theorem states that "The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle) is equal to the square of the length of the hypotenuse ('c').

$c^2=a^2 + b^2$

$hyp^2=opp^2+adj^2$

substituting we have

$88.2^2=opp^2+11.1^2\\opp^2= 88.2^2-11.1^2\\opp^2=7779.24-123.21\\opp^2=7656.03\\opp=\sqrt{7656.03} \\opp=87.498\\opp=87.50 in$

3 0

3 years ago

This table shows the linear relationship of the water level in a tank and time.

Serga [27]

Step-by-step explanation:

according to the table, the rate of change of the water level =

(40-50)/(2-0)

= -10/2

= -5 ft/hr

3 0

3 years ago

If the greatest value of n is 8, which inequality best shows all the possible values of n? (5 points) n < 8 n ≤ 8 n > 8 n

hjlf

Answer:

Step-by-step explanation:

"the greatest value of n is 8" is signified by n ≤ 8.

This is a set, and also an inequality.

4 0

4 years ago

The frequency polygon shows the distances thrown by the entrants in the University and College Discus Finals at the 2003 Drake R

storchak [24]

Answer:

70.83% entrants will have distances between 150 and 160.

Step-by-step explanation:

This question is incomplete without an attachment; here is the attachment enclosed with the answer.

From the graph attached,

Number of entrants having distances between 150 and 160 feet = 8 + 9 = 17

Number of entrants between 140 and 200 feet = 8 + 9 + 4 + 2 + 1 = 24

Percent of entrants having distance between 150 and 160 feet = $\frac{\text{Number of entrants between 150 and 160}}{\text{Number of total entrants}}\times 100$

= $\frac{17}{24}\times 100$

= 70.83%

Therefore, 70.83% entrants will have distances between 150 and 160.

3 0

3 years ago