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2 years ago

5x = 45

Mathematics

1 answer:

Trava [24]2 years ago

5 0

Division Property of Equality

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in a right triangle, the 58cm hypotenuse makes a 51 angle with one of the legs. rounded to two decimals places, how long is that

ser-zykov [4K]

Answer:

36.50

To two decimal places

Step-by-step explanation:

The hypothenuse side in a right angle triangle has 58cm. While the angle touching one of its leg is 51°. How long is that leg.

From the right angled triangle, the size of the leg touching the hypothenuse is the adjacent side of the triangle, hence in trigonometry, the cosine rule is used, because it involves the adjacent and the hypotenuse.

Cos 51°=x/58

Let the size of the leg be x

Making x the subject

x=58(Cos51°)

x=36.500058

Correct to two decimal place

x=36.50

3 0

2 years ago

A scale drawing of a lake has a scale of 1 cm to 80 m. If the actual width of the lake is 1,000 m, what is the width of the lake

Andreas93 [3]

Answer: 12.5 cm

Step-by-step explanation:

Equation would be:

1:80

?:1000

So you'll just have the cross multiply the equation above to find ? ( scale drawing lake). It'll be 1000*1/80 which will be 12.5 cm.

7 0

2 years ago

Please I really need help, this is my final

Paul [167]

Answer:

6.12

Step-by-step explanation:

tan 27≈0.51

Know that tan= $\frac{opposite}{adjacent}$

0.51= $\frac{x}{12}$

Multiply 12 on both sides

6.12=x

3 0

2 years ago

Simplify cotø(tanø+cotø)

Sladkaya [172]

Answer:

$\large\boxed{\cot\theta(\tan\theta+\cot\theta)=1+\cot^2\theta=\dfrac{1}{\sin^2\theta}=\csc^2\theta}$

Step-by-step explanation:

$\text{Use}\\\\\text{distributive property:}\ a(b+c)=ab+ac\\\cot\alpha\tan\alpha=1.\\\\======================\\\\\cot\theta(\tan\theta+\cot\theta)=(\cot\theta)(\tan\theta)+(\cot\theta)(\cot\theta)\\\\=1+\cot^2\theta\\\\\text{If you want next transformation, then use:}\\\\\cot\alpha=\dfrac{\cos\alpha}{\sin\alpha}\\\\\sin^2\alpha+\cos^2\alpha=1\\\\=======================$

$=1+\left(\dfrac{\cos\theta}{\sin\theta}\right)^2=1+\dfrac{\cos^2\theta}{\sin^2\theta}=\dfrac{\sin^2\theta}{\sin^2\theta}+\dfrac{\cos^2\theta}{\sin^2\theta}=\dfrac{\sin^2\theta+\cos^2\theta}{\sin^2\theta}\\\\=\dfrac{1}{\sin^2\theta}\\\\\text{If you want next transformation, then use:}\\\\\csc\alpha=\dfrac{1}{\sin\alpha}\\\\=\left(\dfrac{1}{\sin\theta}\right)^2=(\csc\theta)^2=\csc^2\theta$

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2 years ago

An adult elephant drinks about 225 liters of water each day. Is the number of days the water supply lasts proportional to the nu

Effectus [21]

Answer:

yes

Step-by-step explanation:

4 0

2 years ago