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11111nata11111 [884]
3 years ago
11

I need help please! ​

Mathematics
1 answer:
Sophie [7]3 years ago
4 0

Answer/Step-by-step explanation:

Area of trapezium = ½*(AD + BC)*AB

Area = 42 cm²

AD = (x + 8) cm

BC = (x + 5) cm

AB = x cm

Plug in the values into the equation

42 = ½((x + 8) + (x + 5))*x

42 = ½((x + 8 + x + 5)*x

42 = ½(2x + 13)*x

Multiply both sides by 2

42*2 = (2x + 13)*x

84 = 2x² + 13x

2x² + 13x = 84

Subtract both sides by 84

2x² + 13x - 84 = 0

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A marathon runner runs at 7.6 mph for three and a half hours.<br> How many miles has he run?
GalinKa [24]

Answer:

26.6 miles

Step-by-step explanation:

distance = speed × time ( time is in hours )

              = 7.6 × 3.5

             = 26.6 miles

5 0
3 years ago
Convert 110 km/myr (kilometers per million years) to cm/yr (centimeters per year)
jenyasd209 [6]

Answer:

110\ \text{km/myr} =11\ \text{cm/yr}

Step-by-step explanation:

To find : Convert 110 km/myr (kilometers per million years) to cm/yr (centimeters per year) ?

Solution :

Using metric conversions,

1 kilometer = 1000 meter

1 meter = 100 centimeter

So, 1 kilometer = 100,000 centimeter

and 1 million year = 1,000,000 year

1\ \text{km/myr} =\frac{100000}{1000000}\ \text{cm/yr}

1\ \text{km/myr} =0.1\ \text{cm/yr}

So, 110\ \text{km/myr} =110\times 0.1\ \text{cm/yr}

110\ \text{km/myr} =11\ \text{cm/yr}

Therefore, 110\ \text{km/myr} =11\ \text{cm/yr}

6 0
3 years ago
Read 2 more answers
Sarah and Eva are swimming<br> use the ratio table to determine who is the faster swimmer
pentagon [3]
Sarahtime  (min)                    {3 }       5      12    17
distance (meters)        {75}      125   300  425

Eva time  (min)                     {2}    7      10    20
distance (meters)         {52}  182   260  520

 

Sarah:meters over min =75 over 3 = 25 over 1
25 meters per min


Eva :meters over min= 52 over 2 =26 over 1
 26 meters per min

eva is the faster swimming because 26 meters per min is faster then 25 meters per min .

i hope this help












6 0
3 years ago
15 points!
Phantasy [73]

Hi there! You are provided with two points, this is all you need to calculate the line's slope.


The equation for slope is:

\frac{y2 - y1}{x2 - x1}

\frac{10 - 8}{3 - 7} = -\frac{2}{4}

Slope: -2/4


Point slope form, or y-y1 = m(x - x1). All we have to do is take the x and y coordinates of either point, as well as the slope, and plug them into the equation.

y - 10 = -2/4(x - 3)


Write the equation in slope-intercept form (y=mx+b)

y - 10 = -2/4(x-3)\\y = -2/4(x-3) + 10\\y = -2/4x + 1.5 + 10\\y = -2/4x + 11.5


A) -2/4

B) y - 10 = -2/4(x - 3)

C) y = -2/4x + 11.5

8 0
3 years ago
Help i’ll give Brain :(
vesna_86 [32]

Answer:

1, 4 and 5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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