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4 years ago

This figure is

Mathematics

1 answer:

Ratling [72]4 years ago

4 0

Solution

The perimeter of the 1/4 of the circle is = (pi/2 + 2)r

Here pi = 3.14, r = 3

Now plug in the values in to the above formula.

=(3.14/2 + 2) 3

= (1.57 + 2) 3

= 3.57*3

Perimeter of the circle = 10.71 cm.

The answer is C) 10.7 cm

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If the points (2,7),(-3,3) and (5,1) are the vertices of a triangle ,find the length of the median drawn through the first verte

Bingel [31]

Answer:

$\sqrt{26}$ units

Step-by-step explanation:

The median is the line segment connecting the vertex with the midpoint of the opposite side.

The midpoint has coordinates:

x = (-3 + 5)/2 = 2/2 = 1
y = (3 + 1)/2 = 4/2 = 2

Use the distance formula to find the distance between points (2, 7) and (1, 2):

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
$d=\sqrt{(1- 2)^2+(2-7)^2} =\sqrt{1+25} =\sqrt{26}$

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3 years ago

Read 2 more answers

A father leaves his money to his four children the first received 1/3 the second received 1/6 and the third received 2/5 how muc

Eduardwww [97]

Answer:

The remaining child got a fraction of $\frac{1}{10}$ .

Step-by-step explanation:

Lets take the fraction of the money fourth child got is $x$

Addition of all these fractions should be equal to 1.

⇒ $\frac{1}{3} +\frac{1}{6} +\frac{2}{5} +x=1$

⇒ $\frac{10+5+12+30x}{30} =1$ (Taking a common denominator)

⇒ $\frac{27+30x}{30} =1$

⇒ $27+30x=30$

⇒ $30x=3$

⇒ $x=0.1$

Therefore,

The remaining child got a fraction of $\frac{1}{10}$ .

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3 years ago

2. A statewide real estate sales agency, Farm Associates, specializes in selling farm property in the state of Nebraska. Its rec

GaryK [48]

Answer:

Ther has been an increase in the selling time.

Step-by-step explanation:

Step 1. Specify the null hypotesis

In this case, we have to demonstrate that the selling time is now different than before the drought.

$H_{0}: \mu=90\\H_{1}: \mu\neq 90$

Step 2. Choose a significance level

In this problem, is 0.10

Step 3. Compute the mean

In this case, the mean of the sample is 94.

Step 4. Compute the probability value (p) of obtaining a difference between the mean of the sample and the hypothesided value of μ.

$t=\frac{M-\mu}{s/\sqrt{N}} =\frac{94-90}{22/\sqrt{100} }=\frac{4}{2.2} = 1.818$

The degrees of freedom are calculated as (N-1) = (100-1) = 99. Then we can look up in the t-table (http://davidmlane.com/hyperstat/t-table.html) to calculate the probability value of a t of 1.818 with 99 degrees of freedom. The value of this probability is 0.05.

Step 5. Compare the P-value (0.05) with the significance level (0.10). Since the P-value is less than the significance level, the effect is significant.

Since the effect is significant, the null hypotesis is rejected.

It is concluded that the mean of the selling time has changed (increase) from its previous value.

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3 years ago

What is the measure of ∠F? What is the measure of ∠R? What is the measure of ∠C?

DanielleElmas [232]

C= 43
I'm not sure what the measure of R is, but I think the measure of F is 55°. I'm not 100% sure, which I feel terrible about, but I am positive that C= 43
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7 0

3 years ago

Read 2 more answers

How many oz. of a metal containing 40%

RideAnS [48]

Answer:

3 oz

Step-by-step explanation:

Let x represent the number of oz. of the medal with 40% gold:

Set up an equation and solve for x:

0.4x + 7(0.9) = 0.75(x + 7)

0.4x + 6.3 = 0.75x + 5.25

6.3 = 0.35x + 5.25

1.05 = 0.35x

3 = x

So, you will need 3 oz. of the metal with 40% gold

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3 years ago