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3 years ago

Find value of X in the isosceles triangle shown below

Mathematics

1 answer:

Dima020 [189]3 years ago

8 0

Answer:

x=10

Step-by-step explanation:

Using Pythagorean theorem,

(√13^2-12^2)×2

(√169-144)×2

(√25)×2

5×2=10

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A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take

Allisa [31]

Answer:

1/30 of a ton

Step-by-step explanation:

Write this as an expression:

1/3 of a ton and 1/2 of a ton were taken to the site.

4/5 of a ton were remove from the site.

Amount of a ton at the site = $\frac{1}{3}+ \frac{1}{2}- \frac{4}{5}$

Solve the equation by finding common denominators (when the bottom numbers are the same).

$(\frac{1}{3}+ \frac{1}{2})- \frac{4}{5}$ Focus on the first part. The least common multiple (LCM) of 3 and 2 is "6", which will become the denominator.

For 1/3 to become ?/6, multiply top and bottom by 2.

For 1/2 to become ?/6, multiply top and bottom by 3.

$(\frac{2}{6}+ \frac{3}{6})- \frac{4}{5}$

Now we can add the numerators together over the same denominator.

$\frac{5}{6}- \frac{4}{5}$

Do the same thing as before and change the denominators. The LCM of 6 and 5 is "30".

For 5/6 to become ?/30, multiply top and bottom by 5.

For 4/5 to become ?/30, multiply top and bottom by 6.

$\frac{25}{30}- \frac{24}{30}$

Subtract the numerators:

$\frac{1}{30}$ Answer in tons

Therefore there was 1/30 of a ton of rock left at the construction site.

7 0

3 years ago

Read 2 more answers

Which experiment would fit a binomial model?

MrMuchimi

B.rolling a die I hope this helped

3 0

4 years ago

PLEASE HELP! Calculate $40^{13} \pmod{85}.$

SVEN [57.7K]

In this type of calculations, we decompose 13 by checking the lowest powers of the base, that is 40. for example we check 40^2, or 40^3 and compare it to 85

Notice

40*40*40=64,000

so we check how many time does 85 fit into 64,000:

64,000/85=752.94

85*753=64,005; 64000-64,005=-5

this means that

$40^{3} =-5\pmod{85}$

thus

$40^{13} =40^{3*4+1}={(40^{3})}^{4}*40=(-5)^{4}*40 \pmod{85}=\\\\625*40\pmod{85}=(7*85+30)*40\pmod{85}=30*40\pmod{85}\\\\=1200\pmod{85}=(14*85+10)\pmod{85}=10\pmod{85}$

Answer: 10 (mod85)

Remark, the set of all solutions is:

{......-75, 10, 95, .....}, that is 85k +10

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3 years ago

Mr. Gardener invested $500,000. His annual interest was $40,000. What was the annual interest rate?

Archy [21]

Mr. Gardener's annual interest rate is 8%.

40,000/500,000 = 0.08

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3 years ago

How are central tendency and standard deviation related

loris [4]

Answer:

Measure of central tendency is a value that represents a typical, or central, entry of a data set. The most common measures of central tendency are: • Mean (Average): The sum of all the data entries divided by the number of entries. ... The standard deviation measure variability and consistency of the sample or population.

Step-by-step explanation:

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3 years ago

￼Find value of X in the isosceles triangle shown below￼

Find value of X in the isosceles triangle shown below