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malfutka [58]
2 years ago
10

19/258 = 21/? help pls

Mathematics
1 answer:
Mashcka [7]2 years ago
7 0

Answer:

<h3>285.15</h3>

Step-by-step explanation:

Given the expression;

19/258 = 21/x

We are to find the unknown value x;

Cross multiply;

19 * x = 258 * 21

19x = 5418

Divide both sides by 19;

19x/19 = 5418/19

x = 285.15

Hence the unknown value is 285.15

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Please, somebody, solve this quick and reply with step by step explanation AND provide all steps of working!
Alexxx [7]

Answer:

For a trapezium of height H, parallel side 1 X, and parallel side 2 Y, the area is:

A = (1/2)*H*(X + Y)

with this we can complete the table.

a)

Here we know:

X = 7cm

Y = 11cm

H = 6cm

Then: A = (1/2)*6cm*(7cm + 11cm) = 54 cm^2

b)

Here we know:

X = 8 m

Y = 10 m

A = 126 m^2

Then:

126 m^2 = 0.5*H*(8m + 10m)

126 m^2 = H*9m

126 m^2/9m = H = 14m

Then the height of this trapezoid is 14m

c)

Here we know:

X = 5mm

H = 8mm

A = 72 mm^2

Then:

72 mm^2 = 0.5*8mm*(5mm + Y)

72 mm^2 = 4mm*(5mm + Y)

72mm^2/4mm = 5mm + Y

18 mm = 5mm + Y

18mm - 5mm = Y

13 mm = Y

Then the parallel side 2 is 13 mm long.

7 0
3 years ago
Write an equation of the line perpendicular to the given line that contains P.
Yakvenalex [24]

Answer:

  y +5 = -1/3(x -3)

Step-by-step explanation:

The slope of the given line is 3. The slope of the perpendicular line is the negative reciprocal of that, -1/3. Then the point-slope equation is ...

  y -y1 = m(x -x1) . . . . line with slope m through point (x1, y1)

  y -(-5) = -1/3(x -3)

  y +5 = -1/3(x -3)

5 0
3 years ago
Read 2 more answers
A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12%
Hitman42 [59]

Answer:

Amount of  vinegar. 100% : 20 milliliters

Amount of  Italian dressing: 140 milliliters

Step-by-step explanation:

Let's call A the amount of  vinegar. 100%

Let's call B the amount of  Italian dressing . 12% vinegar

The resulting mixture should have 23%  vinegar, and 160 milliliters.

Then we know that the total amount of mixture will be:

A + B = 160

Then the total amount of pure antifreeze in the mixture will be:

A + 0.12B = 0.23 * 160

A + 0.12B = 36.8

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:

-A -B = -160

-A -B = -160

               +

A + 0.12B = 36.8

--------------------------------------

-0.88B = -123.2

B = \frac{-123.2}{-0.88}

B = 140\ milliliters

We substitute the value of B into one of the two equations and solve for A.

A + 140 = 160

A = 20\ milliliters

7 0
3 years ago
Find the number of permutations in the word “embarrass”.
raketka [301]
4 I think i'm sorry if I get it wrong.  Hope I helped ≥ω≤
7 0
2 years ago
An auto weighing 2,500 pounds is on a street inclined at 10 with the horizontal. Find the force necessary to prevent the car fro
Misha Larkins [42]

Answer:

1931.7N

Step-by-step explanation:

We are told in the question that :

An auto ( a car) weighs = 2500 pounds

It s inclined at n horizontal Ange of 10°

We are asked to find the force that would prevents it from rolling down the street.

Since the unit for Force = Newton or kgm/s²

Step 1

Convert Weight in pounds to kg

1 pound = 0.453592kg

2500 pounds =

2500 pounds × 0.453592kg

= 1133.981kg

Step 2

Find the force that would prevents it from rolling down the street.

Force = Mass × Acceleration due to gravity × sin θ

Acceleration due to gravity = 9.81m/s

Force = 1133.981kg × 9.81 × sin 10°

Force = 1931.7237321 N

Approximately = 1931.7N

4 0
3 years ago
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