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shtirl [24]
3 years ago
5

A scuba diver is at an elevation of −38feet. The diver starts moving at a rate of −12 feet per minute. Identify an inequality th

at represents the number of minutes x it will take the diver to reach an elevation deeper than −200 feet.
Mathematics
1 answer:
solniwko [45]3 years ago
7 0

Answer:

x = 13 1/2 or 13.5

Step-by-step explanation:

Flip Equation

-38 - 12x = -200

-12x -38 = -200

Add 38 to both sides

-12x -38 + 38 = -200 + 38

-12x = -162

Divide

-12x/-12 = -162/-12

x = 27/2

Simplify

27/2 = 13 1/2

x = 13 1/2

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A groundskeeper is tasked with fertilizing the grass of a triangular courtyard. To determine how much fertilizer he should buy,
inn [45]
Base of the courtyard = sqrt(90) = 3sqrt(10)
Height of the courtyard = 10 + sqrt(3)
Area of the courtyard = 1/2 x 3sqrt(10) x (10 + sqrt(3)) = 15sqrt(10) + 3/2sqrt(30)
5 0
4 years ago
A triangle has vertices T(3, 7), U(6, –6), and V(5, –9). The image of the triangle has vertices T"(8, 1), U"(–5, 4), and V"(–8,
inessss [21]
The answer:

the main rule of transformation are as follow

Reflection:a reflection in the line y = x changes the point (x; y) to (y; x)
 
the transformation T(a, b), changes changes the point (x; y) to (x+a ; y+ b)

the construction of the image is as follow:

as for T(3, 7), the image is  T"(8, 1)

so with the reflection in the line y = x, T(3, 7) becomes T' (7, 3), and with the transformation T(1, –2),  the point T' (7, 3) becomes (7+1, 3 -2) =T"(8, 1)

with the reflection in the line y = x, U(6, –6) becomes U'(-6, 6), and with the transformation T(1, –2),  the point U'(-6, 6) becomes (-6 +1, 6-2)=U"(–5, 4)

with the reflection in the line y = x, V(5, –9) becomes V'(-9, 5), and with the transformation T(1, –2),  the point V'(-9, 5)  becomes (-9 +1, 5-2)=U"(–8, 3)

so the final answer is

<span>r y = x and  then T(1, –2)</span>

3 0
3 years ago
25 Point Math Question Image Attached
iragen [17]

X = hypotenuse x sin(angle)

Rewriting this with the given information:

Sin(26) = x/10

The answer is B.

6 0
3 years ago
What is 280 divide by 30
Ann [662]
280/ 30 is equal to 9.3 repeating. Have a good night!! :)
8 0
3 years ago
Read 2 more answers
URGENT: I need to solve this problem: 4 - (-6), but that's not all, I'm not really good at math and I need step by step answers
Rama09 [41]

Answer:

10  

3.59

6 7/12

Step-by-step explanation:

4 - (-6)

= 4+ 6 ( because when we multiply the negative sign with the negative sign we get a positive sign or a plus sign)

= 10  

-2.5 + 6.1 -10.3 - (-7.79) -4 + 6 1/2

= -2.5 + 6.1 -10.3 +7.79 -4 + 6.5 [ (-*-=+) ( converting 6 1/2 into decimal = 6.5)]

= 6.1+7.79+ 6.5 -2.5 -10.3-4   { adding the + numbers and - numbers separately}

= 20.39 - 16.8        { subtracting the totals of + and - numbers}

= 3.59

8 5/6 + (-2 1/4)

=  53/6   - 9/4   { Converting into improper fractions}

=  53( 2) - 9(3)/12          { Taking LCM = 12}

= 106-27/12

= 79/12

= 6 7/12

{ Converting into improper fractions and vice versa}

  • we multiply the denominator with the whole number and add it to the numerator to get the improper fraction.( 8 5/6= 53/6)
  • we divide the numerator with the denominator the answer gives the whole number and the remainder gives the numerator of the proper fraction.  ( 79/12 = 6 7/12)

{ Taking LCM = 12}

Factors of 6 are 3 and <u>2</u>

Factors of 4 are 2 and <u>2</u>

Least Common Multiple is taking the common factors and multiplying it with the rest . 2 is common in both . It will be taken once and then multiplied with the other 2 and 3 so we get

LCM = 2*2*3= 12

3 0
4 years ago
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