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3 years ago

Please help! It would be very much appreciated :)

Mathematics

1 answer:

Trava [24]3 years ago

7 0

Answer:

Cos 45=6/x

x=6/cos 45=6√2

x=6√2

tan 45=y/6

y=tan45 ×6

y=6

sin 60=y/10

y=sin60×10

y=5√3

again

Cos 60=x/10

x=½×10

x=5

Sin 45=x/5

x=1/√2×5 or

x=5√2/2

again

y=5√2/2 or 5/√2[base angle of right angled isosceles triangle]

Sin 30=8/x

½×x=8

x=8*2

x=16

again

cos 30= y/x

√3/2×16=y

y=8√3

sin 60=7/x

x=7/[√3/2]

x=14/√3 or 14√3/3

again

cos 60=y/x

½×14√3/3=y

7√3/2=y

y=7√3/2

Note:

Sin angle =perpendicular/hypotenuse

Cos angle =base/hypotenuse

Tan angle =perpendicular /base

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Please help asap!!!

Tatiana [17]

Answer:

$w = 6$

Step-by-step explanation:

ST = w + 6,

PR = w

From the diagram given, we can deduce that PR is the midsegment of ∆QST. Therefore, according to the midsegment theorem:

PR = ½ of ST

Plug in the values into the equation and solve for w.

$w = \frac{1}{2}(w + 6)$

$w = \frac{w}{2} + 3$ (distributive property of equality)

$w - 3 = \frac{w}{2}$ (subtraction property of equality)

$2(w - 3) = \frac{w}{2}*2$ (multiplication property of equality)

$2w - 6 = w$

$2w - 6 - 2w= w - 2w$ (subtraction property of equality)

$- 6 = - w$

Divide both sides by -1

$6 = w$

$w = 6$

5 0

3 years ago

A solid rectangular box with height 5 m and square base with side lengths 4 m is built using a lightweight material whose densit

elena55 [62]

Answer:

627200LJ

Step-by-step explanation:

Height of box=5 m

Side of square base=4 m

Volume of rectangular box= $l\times b\times h$

Using the formula

Volume of rectangular box= $4\times 4\times 5=80m^3$

Density of material= $800kg/m^3$

We know that

$Mass=Density\times volume$

Using the formula

Mass of rectangular box= $80\times 800=64000 kg$

Gravity= $g=9.8m/s^2$

Weight of rectangular box,F= $mg=64000\times 9.8 N$

Let L be the vertical distance traveled by box

Total work done = $W=F\times displacement$

Therefore,total work done against gravity = $64000\times 9.8 L$ =627200 L J

Hence, the box requires work against gravity=627200LJ

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aleksley [76]

Answer:

Lynnette can wash 2111109 in 11 days

Step-by-step explanation:

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3 years ago

There are between 60 and 100 children at the sunny side holiday camp. When the children are put into pairs, there is 1 child lef

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Answer:

2×5×8 = 80

80+1 81

There are 81 students in the camp

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2 years ago

Julie multiplies 6.27 by 7 and claims the product is 438.9. Explain without multiplying how you know Julie’s answer is not corre

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Answer:

SHe put the decimal point in the wrong spot, it's suppose to be 43.89

Step-by-step explanation:

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