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3 years ago

The sum of 3 consecutive odd numbers is 183 whats the second number im this sentence

Mathematics

1 answer:

Naddik [55]3 years ago

6 0

Answer:

The second number is 61

Step-by-step explanation:

It's implied that the first integer is odd.

Since the consecutive intergers are odd, use an equation that looks like this:

(x+2) + (x+2) + (x+2) = 183 and simplify

*If you add 2 to an odd number, you get the next odd number. That's why I used 2*

3x + 6 = 183 → 3x = 177 → x = 59 which means the first integer is 59. The consecutive integers is 59, 61, 63.

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The area of the base of the oblique pentagonal pyramid is 50 cm^2 and the distance from the apex to the center of the pentagon i

Verdich [7]

The complete question in the attached figure

Part a)
we know that
ABC is a right triangle
∠ACB=45°
AC=hypotenuse------> 6√2 cm
sin 45=AB/AC-----> AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm

the answer part a) is
AB=6 cm

Part b)
we know that
volume of the pyramid=(1/3)*Area of the base*height
area of the base=50 cm²
height=6 cm
so
volume of the pyramid=(1/3)*50*6----> 100 cm³

the answer part b) is
100 cm³

5 0

3 years ago

The difference of a number and 17 is more than 33

madreJ [45]

Answer:

In algebraic terms this means x-17>33

Step-by-step explanation:

to solve it x−17>33

1 Add 17 to both sides.

x>33+17

2 Simplify 33+17 to 50

x>50

5 0

3 years ago

Read 2 more answers

What is the average rate of change for this quadratic function for the interval

Bad White [126]

Answers are C/A your welcome

☁︎☁︎☁︎☁︎☁︎☁︎☁︎☂︎☁︎

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8 0

3 years ago

If tan ⁡x=12/5, and 0°

Charra [1.4K]

The value of sin(2x) is $\frac{120}{169}$

Explanation:

Given that $tan x =\frac{12}{5}$

The formula for $sin(2x)$ is $\sin (2 x)=2 \sin x \cos x$

Since, $\tan x=\frac{o p p}{a d j}$

Also, it is given that $tan x =\frac{12}{5}$

Thus, $opp=12$ and $adj=5$

To find the hypotenuse, let us use the pythagoras theorem,

$\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}$

Now, we can find the value of sin x and cos x.

$\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}$

$\cos x=\frac{a d j}{h y p}=\frac{5}{13}$

Now, substituting these values in the formula for sin 2x, we get,

$\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}$

Thus, the value of sin(2x) is $\frac{120}{169}$

8 0

3 years ago

Can someone help me asap !!

aivan3 [116]

Answer:

The answer is negative. Answer choice B

Step-by-step explanation:

Here is the question:

-3^40(5.6/2.1)

According to order of operations, we must do -3^40 first.

Its important to note that -3^40 is different than (-3)^40. In the problem you specified, the ^40 only applies to the 3, not -3. So, first we do 3^40 which is a huge number. And then, we need to add a negative symbol to that huge number. So now we have a massive negative number multiplied by 5.6/2.1, which is obviously positive. Obviously, a negative number multiplied by a positive number is still negative. Therfore, the answer is negative.

I hope my answer helped you :)

If you are happy with my answer please vote Brainliest. Thanks!

8 0

2 years ago

The sum of 3 consecutive odd numbers is 183 whats the second number im this sentence​

The sum of 3 consecutive odd numbers is 183 whats the second number im this sentence