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2 years ago

Two consecutive numbers whose sum is 115

Mathematics

1 answer:

kykrilka [37]2 years ago

4 0

Answer:

The two numbers would be 57 and 58.

Step-by-step explanation:

You can solve this problem using algebra. Use x to represent the smaller number and x + 1 to represent the greater number. You use x + 1 to represent the larger number because it is 1 more than the smaller number.

x + (x + 1) = 115

2x + 1 = 115

2x = 114

x = 57

Therefore, the numbers are 57 and 58. You can plug 57 into x + 1 to find the larger number.

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If sin theta= - 5/7, which of the following are possible?

Sphinxa [80]

Answer:

$\large\boxed{\sec\theta=\dfrac{7}{\sqrt{24}},\ and\ \tan\theta=-\dfrac{5}{\sqrt{24}}}\\\boxed{\cos\theta=\dfrac{\sqrt{24}}{7},\ and\ \tan\theta=\dfrac{5}{\sqrt{24}}}$

Step-by-step explanation:

$\text{Use:}\\\\\sin^2\theta+\cos^2\theta=1\to\cos\theta=\pm\sqrt{1-\sin^2\theta}\\\\\tan\theta=\dfrac{\sin\theta}{\cos\theta}\\\\\sec\theta=\dfrac{1}{\cos\theta}\\\\==========================\\\\\sin\theta=-\dfrac{5}{7}\\\\\cos\theta=\pm\sqrt{1-\left(-\frac{5}{7}\right)^2}=\pm\sqrt{1-\frac{25}{49}}=\pm\sqrt{\frac{24}{49}}=\pm\dfrac{\sqrt{24}}{\sqrt{49}}=\pm\dfrac{\sqrt{24}}{7}\\\\\sec\theta=\pm\dfrac{1}{\frac{\sqrt{24}}{7}}=\pm\dfrac{7}{\sqrt{24}}$

$\tan\theta=\pm\dfrac{-\frac{5}{7}}{\frac{\sqrt{24}}{7}}=\mp\dfrac{5}{7\!\!\!\!\diagup_1}\cdot\dfrac{7\!\!\!\!\diagup^1}{\sqrt{24}}=\mp\dfrac{5}{\sqrt{24}}$

$\sin\theta=-\dfrac{5}{7}$

6 0

3 years ago

Can someone please explain how i can solve this ...thank you very much

Darina [25.2K]

You would add all the sides together.

6 0

3 years ago

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4. The ratio of skateboards to bikes is 3:1.

vredina [299]

Answer:

Step-by-step explanation:

3 represents skateboards and 1 represents bikes. We need to get from 3 to 12 and 1 to the answer by using the same number you used to get from 3 to 12.

To get from 3 to 12 you multiply by 4

3*4=12

So let's go ahead and multiply 1 by 4 as well

1*4=4

Your ratio is now 12:4 and 4 stands for bikes so there are 4 bikes

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14x^2+4x-138=0

14x^2-42x+46x-138=0

14x(x-3)+46(x-3)=0

(14x+46)(x-3)=0

2(7x+23)(x-3)=0, since x>0

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3 years ago

A city has 7204 recycle bins. The city gives half of the recycle bins to it's citizens. The rest of the recycle bins are divided

Tju [1.3M]

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3 years ago

Two consecutive numbers whose sum is 115​

Two consecutive numbers whose sum is 115