All categories

3 years ago

1. Find the value of x, rounded to the nearest tenth A. 3.7 B. 4.4 C. 8.9 D. 4.2

Mathematics

1 answer:

Yuki888 [10]3 years ago

8 0

Answer:

C 8.9

Step-by-step explanation:

all these lines (from the same point of origin, cutting into and through a circle, ending at the far end of the circle they are cutting into) have the same relation of their lengths :

a×(a+b) is the same for all these lines.

with a being the first segment from the point of origin to touching the outside of the circle, and b being the length of the line inside the circle.

so,

4×(4+16) = 8×(8+2) = 80

this is correct for these two lines.

now, the line with the length x is a special case, as it does not really go through a circle, it only touches them.

but the length relation applies also to this line. it is just that the length inside the circle is 0.

so,

x×(x+0) = 80 (the same value as for the other lines)

must be true here too.

x² = 80

x = sqrt(80) ≈ 8.9

You might be interested in

pencils are sold in packages of 10 and erasers are sold in packages of 6 what is the least number of pencils and erasers you can

Keith_Richards [23]

6packs of pencils and 10packs of eraser's

6 0

4 years ago

Read 2 more answers

Pythagorean stack how long is this side

Alika [10]

Pythagorean stack i believe its 23 on the side

6 0

3 years ago

SHOW WORK NEED ASAP

Semenov [28]

Answer:

rectangular tables

Step-by-step explanation:

x: how many tables

a) 49x/49=800/49

x=16.3

so roughly 16 tables

b) 64x/64=800/64

x= 12.5

so roughly 12(you round to nearest even number when it is .5)

c) Now we will calcuate how many people will fit using the number of fitting capacity

=16 (8)

128

=12(12)

=144

Therefore, the rect tables will fit more people

8 0

3 years ago

The school is planning to add 2 new playgrounds. Each playground will be in the shape of a square that measures 10m by 10 m. Wha

mojhsa [17]

Answer:

Each playground will be 100 m2. Both playgrounds are 200 m2.

Step-by-step explanation:

Area of square is defined by a × a.

a = length of side. In this case a is 10 m

So, Area = 10 m × 10m

Area = 100 m2 (square meters). This is the area of one playground.

Two playgrounds will be the double, 200 m2

7 0

3 years ago

Forty-five percent of households say they would feel secure if they hadâ€‹ $50,000 in savings. You randomly select 8 households

Dmitriy789 [7]

Answer:

0.172 ; 0.0884 ; 0.9115

Step-by-step explanation:

Proportion or those who feel secure, p = 0.45

Sample size, n = 8

Using the binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

A.) p(x = 5)

P(x =5) = 8C5 * 0.45^5 * 0.55^3

P(x = 5) = 56 * 0.0184528125 * 0.166375

P(x = 5) = 0.1719248540625

P(x = 5) = 0.172

B.) P(x > 5)

P(x > 5) = P(x = 6) + P(x = 7) + P(x = 8)

P(x > 5) = 0.0703 + 0.0164 + 0.0017

P(x > 5) = 0.0884

C.) P( ≤ 5) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5)

Using the binomial probability calculator to obtain a direct solution :

P( ≤ 5) = 0.9115

7 0

3 years ago