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dmitriy555 [2]
2 years ago
10

Help ASAP - Find the area of the composite figure made up of a square and a semicircle. Use 3.14 as an approximation for and giv

e your
answer to the nearest square inch. Enter only the number.

Mathematics
1 answer:
rodikova [14]2 years ago
7 0

Answer:

200.52 in^2

Step-by-step explanation:

to find the area of a circle, you square 6 and multiply it by pi in this case 3.14.

that gives you 113.04 but because this is only a half circle, it is 56.52 in^2.

Next, you need to find the rectangle. multiply 12(length) by 12(Width) to get 144 add 144 to 56.52 to get 200.52.

Hope this helped if it did please give me brainliest it helps me a lot. :)

Have a good day!

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When the average price of an item increases from p1 to p2 over a period of n years, the annual rate of inflation r (in decimal f
Natali [406]

Answer:

the annual rate of inflation r is 0.023

Step-by-step explanation:

Given by the expression:

r=(\frac{p_2}{p_1})^{1/n}-1

The average price of a gallon of milk increased from $0.36 in 1913 to $3.53 in 2013.

Let p_1 = 0.36

p_2 =  3.53

n = 2013 - 1913 = 100

replacing our values into the given equation; then the annual rate of inflation r is as follows:

r=(\frac{3.53}{0.36})^{1/100}-1

r = 0.023

Hence, the annual rate of inflation r is 0.023

5 0
2 years ago
Two tangents drawn to a circle from a point outside it, are equal in length.prove it.<br>​
stiks02 [169]
Given: A circle with centre O; PA and PB are two tangents to the circle drawn from an external point P.
To prove: PA = PB
Construction: Join OA, OB, and OP.
It is known that a tangent at any point of a circle is perpendicular to the radius through the point of contact.
OA⊥PA
OB⊥PB
In △OPA and △OPB
∠OPA=∠OPB (Using (1))
OA=OB (Radii of the same circle)
OP=OP (Common side)
Therefor △OPA≅△OPB (RHS congruency criterion)
PA=PB
(Corresponding parts of congruent triangles are equal)
Thus, it is proved that the lengths of the two tangents drawn from an external point to a circle are equal.
The length of tangents drawn from any external point are equal.
So statement is correct

7 0
2 years ago
The weight of trucks traveling on a particular section of I-475 have a population mean of 15.8 tons and a population standard de
Ray Of Light [21]

Answer: 0.0062

Step-by-step explanation:

Given : The weight of trucks traveling on a particular section of I-475 have a population mean of \mu=15.8 tons and a population standard deviation of \sigma=4.2 tons.

Sample size : n=49

Let x be the random variable that represents the weight of trucks .

z-score : z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x= 14.3 tons

z=\dfrac{14.3-15.8}{\dfrac{4.2}{\sqrt{49}}}\approx-2.5

Now, the probability a state highway inspector could select a sample of 49 trucks and find the sample mean to be 14.3 tons or less will be :-

P(X\leq14.3)=P(z

Hence, the probability a state highway inspector could select a sample of 49 trucks and find the sample mean to be 14.3 tons or less =0.0062

8 0
2 years ago
a meal of a chicken sandwich and some pasta salad had 100 grams of carbohydrates the pasta salad had 10 grams more than twice th
Pie


Let the amount of carbohydrates in chicken sandwich be x

The amount of carbohydrates in salad will be 2x + 10

(x ) + ( 2x + 10) = 100

x + 2x  + 10 = 100

x + 2x  = 100 - 10

3x  =  90

x  = 90  / 3

x = 30 

Therefore chicken sandwich has 30 grams of carbohydrates.

Salad will have:

2 (x) + 10 → 2 (30) + 10 →  60 + 10 = 70

Salad has 70 grams of carbohydrates.



8 0
2 years ago
A tailor cuts a piece of thread One-half of an inch long from a piece Nine-sixteenths of an inch long. What is the length of the
lukranit [14]

Answer:

The length of the remaining piece of thread is  \frac{1}{16}.

Step-by-step explanation:

Given:

A tailor cuts a piece of thread One-half of an inch long from a piece Nine-sixteenths of an inch long.

Now, to find the length of the remaining piece of thread.

Total thread  = \frac{9}{16} \ inch.

Tailor cuts a piece of thread = \frac{1}{2}\ inch.  

Now, to get the length of the remaining piece of thread by subtracting tailor cuts a piece of thread from the total thread:

\frac{9}{16} -\frac{1}{2} \\\\=\frac{9-8}{16} \\\\=\frac{1}{16}

Therefore, the length of the remaining piece of thread is  \frac{1}{16}.

8 0
2 years ago
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