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11Alexandr11 [23.1K]
3 years ago
7

* Required

Mathematics
1 answer:
Furkat [3]3 years ago
8 0
B. 19.8

Use the Pythagorean theorem:
14.2^ + x^ = 24.4^
201.64 + x^ = 595.36
x^ = 393.72
x = 19.84
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4 - x + <img src="https://tex.z-dn.net/?f=6%5E%7B2%7D" id="TexFormula1" title="6^{2}" alt="6^{2}" align="absmiddle" class="latex
Lemur [1.5K]

Answer:

x ≤ 19

Step-by-step explanation:

The instructions here are probably "solve for x."  Please include them.

4 - x + 6^2 ≥  21

becomes 4 - x + 36 ≥  21

Now combine like terms.  4 and 36 combine to 40:  40 - x ≥ 21, and so:

19 - x ≥ 0

Adding x to both sies results in

x ≤ 19

Please, include the instructions when you post a question.  Thanks.

3 0
3 years ago
A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t) = 52t - 16t^2 . What i
ahrayia [7]

Answer:

42.25 feet

Step-by-step explanation:

The height function is a parabola.  The maximum value of a negative parabola is at the vertex, which can be found with:

x = -b/2a

where a and b are the coefficients in y = ax² + bx + c.

Here, we have y = -16t² + 52t.  So a = -16 and b = 52.  The vertex is at:

t = -52 / (2×-16)

t = 13/8

Evaluating the function:

h(13/8) = -16(13/8)² + 52(13/8)

h(13/8) = -169/4 + 169/2

h(13/8) = 169/4

h(13/8) = 42.25

7 0
3 years ago
Read 2 more answers
What is the equivalent percent fraction for 1/2 3/4 7/10 3/20 4/25 9/50 1/8
ohaa [14]

Answer:1/2=0.5

3/4=0.75

7/10=0.7

3/20=0.15

4/25=0.16

9/50=0.18

1/8=0.125

Step-by-step explanation:

1/2=0.5

3/4=0.75

7/10=0.7

3/20=0.15

4/25=0.16

9/50=0.18

1/8=0.125

4 0
3 years ago
Lauren keeps records of the distances she travels in a taxi and what she
Scrat [10]

Answer:

m = 2.25

Step-by-step explanation:

In a standard equation of y = mx + b, m is the slope. In this situation, the slope is the price paid per mile.

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁). I will use the points (3, 8.25) & (11, 26.25)

Plug in these values:

(26.25 - 8.25) / (11 - 3)

Simplify the parentheses.

= (18) / (8)

Simplify the fraction.

18/8

= 9/4

This is your slope.

In a dollar value, it is 9/4 of a dollar, or $2.25 per mile.

3 0
3 years ago
What is t+16 for +=-5
Lady bird [3.3K]

Answer:

9

Step-by-step explanation:

just do 16 - 5 its exactly the same

5 0
3 years ago
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