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3 years ago

For the following right triangle, find the side length. Round your answer to the nearest hundredth

Mathematics

2 answers:

Mars2501 [29]3 years ago

5 0

Answer:

9.75

Step-by-step explanation:

To do this problem, use the Pythagorean Theorem, $a^2 + b^2 = c^2$ . Right now, you have that a = 7 and c = 12, so it would be

$7^2 + b^2 = 12^2\\49 + b^2 = 144\\b^2 = 95\\b = \sqrt{95}$

Rounding to the nearest hundredth, you get: 9.75

IRINA_888 [86]3 years ago

4 0

Answer:9.75

Step-by-step explanation:12x12 =144 and 7x7= 49 subtract 144-49 and get 95 the square root of 95 is approximately 9.747 rounded to the nearest hundredths place is 9.75

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John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs

mezya [45]

Answer:

The number of Pumpkin can used = 48 cans

The number of Green Beans can used = 16 cans

Step-by-step explanation:

The ratio of Pumpkin to Green Beans = 3 : 1

So, for every 3 can of Pumpkin, 1 can of green beans is used.

Now, the total number of John wants to use = 64

Let us assume the common factor in the ratio is m.

⇒ The number of Pumpkin can used = 3 m

The number of Green Beans can used = 1 m = m

So, the Total cans used = Number of (Pumpkin + Green Beans) can

⇒ 3 m + m = 64

or, 4 m = 64

⇒ m = 64/ 4 = 16

Hence, The number of Pumpkin can used = 3 m = 3 x 16 = 48 cans

The number of Green Beans can used = m = 16 cans

3 0

3 years ago

Shikha has quiz scores of 27, 25, 24, 26 and 25 this term. If she gets a score of 25 and 28, which part of the data( mean, media

forsale [732]

Answer:

mean and range

arrangement before: 24,25,25,26,27

arrangement after: 24,25,25,25,26,27,28

mean before: (27+25+24+26+25)/5 = 25.4

mean after: (27+25+24+26+25+25+28))/5 = 25.7

median before: 25

median after: 25

mode before: 25

mode after: 25

range before: 24 to 27

range after: 24 to 28

hence, the mean and range were affected while the median and mode remained unchanged.

7 0

2 years ago

Seventeen minus the quotient of twelve and six is the equivalent to which of the following?

KATRIN_1 [288]

Answer:

It should be the first on the list 17 - 12/6

Step-by-step explanation:

if I replace the words in your sentence, you have

17 minus the 12/6

get

17 - 12/6

3 0

3 years ago

Three friends met for a book club at a coffee shop, each friend ordered a cup of coffee and two donuts. the total of the order w

4vir4ik [10]

Answer:

$Cost\ of\ donut=\frac{49}{24}\approx \$2.042\\\\cost\ of\ donuts=\frac{49}{4}\approx \$12.25$

Step-by-step explanation:

$Let\ cost\ of\ coffee=y\\\\cost\ of\ one\ donut=x\\\\Each\ friend\ buy\ one\ coffee\ and\ two\ donuts\\\\Amount\ for\ 1\ friend=Cost\ of\ coffee+2\times cost\ of\ donut\\\\Amount\ for\ 1\ friend=y+2x\\\\Amount\ required\ for\ 3\ friend=3\times Amount\ for\ 1\ friend\\\\Amount\ required\ for\ 3\ friend=3\times (y+2x)\\\\Amount\ required\ for\ 3\ friend=3y+6x\\\\Total\ bill=\$ 22\\\\3y+2x=22\\\\Given\ cost\ of\ coffee=\$3.25\\\\y=\$3.25$

$Hence\ solution\ of\ following\ system\ of\ equation\ will\ give\ cost\ of\ donut:\\\\3y+6x=22\\\\y=3.25\\\\\\Substitute\ y=3.25\ in\ first\ equation\\\\3\times 3.25+6x=22\\\\9.75+6x=22\\\\6x=22-9.75\\\\6x=12.25\\\\x=\frac{12.25}{6}\\\\x=\frac{49}{24}\approx \$2.042\\\\Cost\ of\ donut=\frac{49}{24}\approx \$2.042$

See attached diagram.

$Each\ friend\ takes\ 2\ donuts\\\\Total\ donuts=Number\ of\ friends\times 2\\\\Total\ donuts=3\times 2=6\\\\cost\ of\ donuts=number\ of\ donuts\times cost\ of\ 1\ donut\\\\cost\ of\ donuts=6\times \frac{49}{24}\\\\cost\ of\ donuts=\frac{49}{4}\approx \$12.25$

5 0

3 years ago

Factorise the following 15xy - 24x squared please

Anarel [89]

3x(5y-8) hope this helps

7 0

3 years ago