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3 years ago

Find the missing value. Show your work (GEOMETRY, PLEASE HELP!!)

Mathematics

1 answer:

sammy [17]3 years ago

3 0

Sin51=y/12

y=12sin51 units

y≈9.33 units (to nearest hundredth of a unit)

...

tanα=12/5

α=arctan2.4°

α≈67.38° (to nearest hundredth of a degree)

...

tan13=x/24

x=24tan13 units

x≈5.54 units (to nearest hundredth of a unit)

...

sin20=10/x

x=10/sin20 units

x≈29.24 units (to nearest hundredth of a unit)

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An automobile manufacturer is preparing a shipment of cars and trucks on a cargo ship that can carry 21,600 Tons. The cars weigh

inysia [295]

Answer:

Number of trucks (y) that can be shipped if the number of cars (x) is known $=\frac{21,600-3.6x}{7.5}$

Step-by-step explanation:

A cargo ship can carry 21,600 Tons.

Let x denotes number of cars and y denotes number of trucks.

The cars weigh 3.6 tons each and the trucks weigh 7.5 tons each.

Therefore,

$3.6x+7.5y=21,600$

Now write y in terms of x.

$7.5y=21,600-3.6x\\y=\frac{21,600-3.6x}{7.5}$

Number of trucks (y) that can be shipped if the number of cars (x) is known $=\frac{21,600-3.6x}{7.5}$

3 0

4 years ago

Plz help me !!!!!!!!

vazorg [7]

You factor the numerator and denominator and cancel the common factors. So maybe that should help you

8 0

3 years ago

Read 2 more answers

the first term of an arithmetic sequence is 10 and the sum of the first five terms is 250,find the sequence

Crazy boy [7]

Answer:

The sequence is:

10, 30, 50, 70, 90.....................

Step-by-step explanation:

We have,

First term (a) = 10

Common difference (d) = ?

Sum of first 5 terms ( $S_{5}$ ) = 250

or, $\frac{n}{2} [{2a+(n-1)d}] = 250$

or, $\frac{5}{2} [2*10 + 4d]=250$

or, $\frac{5}{2} * 4[5+d]=250$

or, 10(5 + d) =250

or, 5 + d = 25

∴ d = 20

Now,

2nd term = a + d = 10 + 20 = 30

3rd term = a + 2d = 10 + 2*20 = 10 + 40 = 50

4th term = a + 3d = 10 + 3*20 = 10 + 60 = 70

5th term = a + 4d = 10 + 4*20 = 10 + 80 = 90

8 0

3 years ago

Solve<br>0.9(7x + 14) = 1.5 - (x + 2)

Triss [41]

$\\ \sf\longmapsto 0.9(7x+14)=1.5-(x+2)$

$\\ \sf\longmapsto 6.3x+12.6=1.5-x-2$

$\\ \sf\longmapsto 63x+12.6=-x-0.5$

$\\ \sf\longmapsto 63x+x=-0.5-12.6$

$\\ \sf\longmapsto 64x=-13.1$

$\\ \sf\longmapsto x=\dfrac{-13.1}{64}$

$\\ \sf\longmapsto x=0.2$

7 0

3 years ago

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Sloan [31]

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2 years ago