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garik1379 [7]
1 year ago
11

Frankie wants to build a path from one corner of his yard to the opposite corner. His yard measures 20 ft. x 32 ft. What will be

the length of his path to the nearest tenth of a foot? 21.5 ft 25.0 ft 32.6 ft 37.7 ft
Mathematics
2 answers:
Phoenix [80]1 year ago
5 0

Answer:d

Step-by-step explanation:

riadik2000 [5.3K]1 year ago
4 0
Frankie's yard is a rectangle with the longer side = 32ft and the shorter side = 20ft. You want to find the length of the diagonal going through the rectangle. In essence, you basically have a triangle with two sides, one 32ft, the other 20ft, and you're looking for the hypotenuse.

Let's call a=32, b=20, and you're looking for the hypotenuse c. Use the Pythagorean theorem:
{a}^{2}  +  {b}^{2}  = {c}^{2}
Plug the numbers in to find c, the length of your path! So
\sqrt{{32}^{2}  +   {20}^{2}}  = 37.7
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2. In the product of (4a3 + 5a2 – 11a) and (-15 + 3a – 7a2), the co-efficient of a4 is …………………… .
vekshin1

Answer:

- 23

Step-by-step explanation:

We could do this the long way and expand the whole product or note that the a^{4} terms arise from the product of the a³ and a terms and the product of the a² and a² terms, that is

4a³ × 3a = 12a^{4}

+ 5a² × - 7a² = - 35a^{4}

Summing gives

12a^{4} - 35a^{4} = - 23a^{4}

with coefficient - 23

5 0
2 years ago
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In an athletics team, tall members are three times more likely to win a medal than short members. this year the team has won 60
nirvana33 [79]
Well lets say y = the amount of medals won. lets say x is the amount won by short people and z is the amount won by tall. we know that the total medals is the total medals won by short and tall so:
y = x + z

it says that tall people are 3.times more likely. this would mean they won three times more than short people. so
z = 3x.

so if we know what z equals, we can replace z with what it is equal to. so:
y = x + z
y = x + 3x
y = 4x

we know that 60 medals were won so
y = 4x
60 = 4x
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4 0
1 year ago
What number is between 0.40 and 0.47 it has to be a fraction
Mademuasel [1]
There are an infinite number of possibilities, but one of them could be 45/100 or 9/20
5 0
2 years ago
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Solve 3x + 2 = 15 for x using the change of base formula log base b of y equals log y over log b. −1.594 0.465 2.406 4.465
disa [49]

<u>Answer:</u>

The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.

<u>Solution:</u>

Given, expression is 3^{(x+2)}=15

We have to solve the above expression using change of base formula which is given as

\log _{b} a=\frac{\log a}{\log b}

Now, let us first apply logarithm for the given expression.

Then given expression turns into as, x+2=\log _{3} 15

By using change of base formula,

x+2=\frac{\log _{10} 15}{\log _{10} 3}

x + 2 = 2.4649

x = 2.4649 – 2  = 0.4649

Hence, the value of x is 0.465 approximately and second option is correct one.

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