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3 years ago

How do I solve this? Please explain step by step,thankyou!

Mathematics

2 answers:

umka2103 [35]3 years ago

4 0

Answer:

Hey there!

Angle x would be 62 degrees because angles in a triangle add to 180 degrees.

Let me know if this helps :)

Brrunno [24]3 years ago

3 0

Answer:

x = 62 degrees

Step-by-step explanation:

Total degrees of a triangle = 180

=> 68.5 + 49.5 + x = 180

=> 118 + x = 180

=> 118 - 118 + x = 180 - 118

=> x = 62

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DaniilM [7]

Answer:

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Step-by-step explanation:

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3 years ago

Which graph shape represents the polar curve r = 1 + 4sin(θ)?

umka2103 [35]

Answer:

A cardioid

Step-by-step explanation:

A cardioid is a curve in the shape of a heart traced by a point on the circumference of a circle as it rolls around a fixed circle of the same radius.

The equation of vertical cardioid is $r=a$ ± $a\sin \theta$

Given the polar curve is $r=$ $1+$ 4 $\sin \theta$

This is an equation of vertical cardioid.

So, it represents a cardioid.

7 0

3 years ago

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Show that solving the equation 3^2x=4 by taking common logarithms of both sides is equivalent to solving it by taking logarithms

Sophie [7]

Answer:

Step-by-step explanation:

Case I: use common logs:

2x log 3 = log 4, or 2x(0.47712) = 0.60206

Solving for x, we get 0.95424x = 0.60206, and then x = 0.60206/0.95424.

x is then x = 0.631

Case II: use logs to the base 3:

2x (log to the base 3 of 3) = (log to the base 3 of 4)

This simplifies to 2x(1) = 2x = (log 4)/log 3 = 1.262. Finally, we divide this

result by 2, obtaining x = 0.631

5 0

3 years ago

In a metal fabrication process, metal rods are produced to a specified target length of 15 feet. Suppose that the lengths are n

Leto [7]

Answer:

95% Confidence interval: (14.4537 ,15.1463)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 15 feet

Sample mean, $\bar{x}$ = 14.8 feet

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, σ = 0.65 feet

Degree of freedom = n - 1 = 15

95% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 15 and}~\alpha_{0.05} = \pm 2.1314$

$14.8 \pm 2.1314(\dfrac{0.65}{\sqrt{16}} ) \\\\= 14.8 \pm 0.3463 = (14.4537 ,15.1463)$

is the required confidence interval for the true mean length of rods.

3 0

4 years ago

Read 2 more answers

What is the approximate area of the shaded region?

victus00 [196]

Answer:

The area of the circle is 1256cm squared

Step-by-step explanation:

3.14(20 x 20)

3.14(400)

A : 1256cm squared

4 0

3 years ago

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