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2 years ago

Ron has $49.Matt has $19 more than Ron.Naomi has $12 less than Matt.How much money do they have altogether?

Mathematics

2 answers:

Gekata [30.6K]2 years ago

8 0

49+19= 68 68-12=56. 49+68+56= 173$

EleoNora [17]2 years ago

5 0

The answer to your question is,

They have a total of $173 altogether!

-Mabel <3

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myrzilka [38]

Answer:

the area of a triangle = 19 km²

Step-by-step explanation:

area of a triangle = 1/2 b h

where b = 5km

h = 7.6 km

plugin values into the formula:

A = 1/2 (5) 7.6

A = 19 km²

therefore,

the area of a triangle = 19 km²

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2 years ago

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2 years ago

What is the factorization of 729^15+1000?

igomit [66]

Answer:

The factorization of $729x^{15} +1000$ is $(9x^{5} +10)(81x^{10} -90x^{5} +100)$

Step-by-step explanation:

This is a case of factorization by sum and difference of cubes, this type of factorization applies only in binomials of the form $(a^{3} +b^{3} )$ or $(a^{3} -b^{3})$ . It is easy to recognize because the coefficients of the terms are perfect cube numbers (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of $729x^{15} +1000$ by using the sum and difference of cubes factorization.

1.) We calculate the cubic root of each term in the equation $729x^{15} +1000$ , and the exponent of the letter x is divided by 3.

$\sqrt[3]{729x^{15}} =9x^{5}$

$1000=10^{3}$ then $\sqrt[3]{10^{3}} =10$

So, we got that

$729x^{15} +1000=(9x^{5})^{3} + (10)^{3}$ which has the form of $(a^{3} +b^{3} )$ which means is a sum of cubes.

Sum of cubes

$(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})$

with $a= 9x^{5}$ y $b=10$

2.) Solving the sum of cubes.

$(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )$

$(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)$

8 0

2 years ago

WXY is a right triangle. A. True. B. False.

lora16 [44]

Answer:

B. False

Step-by-step explanation:

According to pythagorean theorem, for this to be a right triangle, the sum of square of the length of the two legs must equal square of the length of the hypotenuse (longest side).

So $(\sqrt{34} )^{2}$ should equal $(\sqrt{18} )^{2}+(\sqrt{18} )^{2}$

We also know that $(\sqrt{a} )^{2}=(\sqrt{a})(\sqrt{a})=a$

Hence, $(\sqrt{18} )^{2}+(\sqrt{18} )^{2}=18+18=36$ , and

$(\sqrt{34} )^{2}=34$

They ARE NOT EQUAL, so the triangle is NOT a right triangle.

5 0

2 years ago

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