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s2008m [1.1K]
2 years ago
15

What must be the value of x?

Mathematics
2 answers:
tangare [24]2 years ago
7 0
Type the question out
MA_775_DIABLO [31]2 years ago
5 0

Answer: 25.0

Step-by-step explanation:

In the given figure ST is a diameter of the Circle.

The central angle subtended by a diameter in a circle is 180°.

Then, According to the given figure , we have

(2x+8)^{\circ}+(3x-14)^{\circ}+(3x-14)^{\circ}=180^{\circ}\\\\\Rightarrow\ 2x+8+3x-14+3x-14=180\\\\\Rightarrow\ 8x-20=180\\\\\Rightarrow\ 8x=180+20\\\\\Rightarrow\ 8x=200\\\\\Rightarrow\ x=\dfrac{200}{8}\\\\\Rightarrow\ x==25

Hence, the value of x is 25.0.

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3. At the beach, you would like to fill 5 buckets with seashells. You have
MA_775_DIABLO [31]

Answer: It will be D

Step-by-step explanation: 5 divided by 8 is 1.2

5 0
2 years ago
Read 2 more answers
Need help 3x+10y=-10
Genrish500 [490]

Answer: 10 + 10 = 21

dont ask how

7 0
3 years ago
Jeremy and April are braiding a rug. Jeremy makes 4 braids every 11 minutes. April makes 7 braids every 17 minutes. Who is braid
nevsk [136]
April would. She braids more, but at a slower pace. However, when they reach the 187 minute mark, April would have braided 77 times. Jeremy would have braided 68 times.
4 0
3 years ago
If 3x^2 + y^2 = 7 then evaluate d^2y/dx^2 when x = 1 and y = 2. Round your answer to 2 decimal places. Use the hyphen symbol, -,
S_A_V [24]
Taking y=y(x) and differentiating both sides with respect to x yields

\dfrac{\mathrm d}{\mathrm dx}\bigg[3x^2+y^2\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[7\bigg]\implies 6x+2y\dfrac{\mathrm dy}{\mathrm dx}=0

Solving for the first derivative, we have

\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x}y

Differentiating again gives

\dfrac{\mathrm d}{\mathrm dx}\bigg[6x+2y\dfrac{\mathrm dy}{\mathrm dx}\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[0\bigg]\implies 6+2\left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2+2y\dfrac{\mathrm d^2y}{\mathrm dx^2}=0

Solving for the second derivative, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}=-\dfrac{3+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}y=-\dfrac{3+\frac{9x^2}{y^2}}y=-\dfrac{3y^2+9x^2}{y^3}

Now, when x=1 and y=2, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}\bigg|_{x=1,y=2}=-\dfrac{3\cdot2^2+9\cdot1^2}{2^3}=\dfrac{21}8\approx2.63
3 0
3 years ago
An arithmetic sequence begins as follows: a1=13 a2=19 Which of the following gives the definition of its nth term?
Otrada [13]

Answer:

the nth term of the sequence is a_n=6n+7

Step-by-step explanation:

Given : An arithmetic sequence begins as follows: a_1=13, a_2=19

To find : Which of the following gives the definition of its nth term?

Solution :

The nth term of the A.P is a_n=a+(n-1)d

The first term is a=a_1=13

The common difference is d=a_2-a_1

d=19-13=6

Substitute in the formula,

a_n=13+(n-1)6

a_n=13+6n-6

a_n=6n+7

Therefore, the nth term of the sequence is a_n=6n+7

5 0
3 years ago
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