3 years ago

In the figure below, ZAOD is a right angle and mAB mCD. What is m BC?

Mathematics

1 answer:

marshall27 [118]3 years ago

6 0

Answer:

BC=74.7

Step-by-step explanation:

AB=15.3

CD=15.3

15.3+15.3=30.6

90-30.6=59.4

BC=74.7

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The first term of an arithmetic sequence is 5, and the tenth term is 13. Find the common difference

RideAnS [48]

Common difference d when The first term of an arithmetic sequence is 5, and the tenth term is 13 is $d=\frac{8}{9}$

Step-by-step explanation:

The first term a₁ = 5

The tenth term a₁₀ = 13

Find Common difference d=?

The formula used for arithmetic sequence is:

$a_{n}=a_{1}+(n-1)d$

where aₙ = nth term

a₁= 1st term

d= common difference

Finding d:

$a_{10}=a_{1}+(n-1)d\\Putting\,\,values\,\,a_{10}=13, a_{1}=5 and n=10\\13=5+(10-1)d\\13-5=9d\\8=9d\\d=\frac{8}{9}$

So, Common difference d when The first term of an arithmetic sequence is 5, and the tenth term is 13 is $d=\frac{8}{9}$

Keywords: arithmetic sequence

Learn more about arithmetic sequence at:

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3 years ago

A cookie contains 9 grams of fat. If you eat no fewer than 4 and no more than 7 cookies, how many grams of fat will you

Hitman42 [59]

Step-by-step explanation:

Since each cookie has 9 grams of fat, four cookies would contain 4*9 = 36 grams of fat.

Also nine cookies has 7*9 = 63 grams of fat.

So the number of grams consumed will be at least 36 and no more than 63.

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3 years ago

Select the correct answer.

katen-ka-za [31]

Answer:

Step-by-step explanation: bc ik

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38. What is the surface area of a conical grain storage tank that has a height of 62 meters and a diameter of 24 meters? Round t

svetoff [14.1K]

1. The surface area of a cone S is S= $\pi r^{2}+ \pi rl$ , where r is the radius of the base and l is the slant height.

2. The slant height l is found as follows:

$l^{2}= OC^{2}+ OB^{2}$
$l^{2}= 12^{2}+ 62^{2}=144+3844=3988$

$l= \sqrt{3988}=63.15$

3.

$A=\pi r^{2}+ \pi rl=3.14(12)^{2}+3.14*12*63.15
$
$= 452.16+2379.492 =2831.652 ( m^{2} )$

$= 452.16+2379.492 =2831.652 ( m^{2} )$

4. The answer is C

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3 years ago

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Use the graph of f(x) to explain the relationship between the real zeros of f(x) and its intercept(s).

Tasya [4]

Answer:

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Step-by-step explanation:

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