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2 years ago

Find the indicated measure mDE

Mathematics

1 answer:

alex41 [277]2 years ago

7 0

Answer:

Can u add the picture please

Step-by-step explanation:

Hope this helps!

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Diana and Sue clean homes for a summer job. They charge $70 for the job plus 5% for supplies. A homeowner gave them a 15% tip. D

Bas_tet [7]

Answer:

well yes because 5 percent of 100 is 5 minus 30% + the 15% tip

7 0

3 years ago

How many positive integers less than 100 have at least one digit that is a 9? (Let T be the set of positive integers less than 1

Ymorist [56]

Answer:

Step-by-step explanation:

Let T be the set of positive integers less than 100 with a 9 in the ten's place.

T = {90, 91, 92, 93, 94, 95, 96, 97, 98, 99}

n(T) = 10

Let O be the set of positive integers less than 100 with a 9 in the one's place.

O = {9, 19, 29, 39, 49, 59, 69, 79, 89, 99}

n(O) = 10

The common element is 99.

$T\cap O={99}$

$n(T\cap O)=1$

The union of both sets is

$n(T\cup O)=n(T)+n(O)+n(T\cap O)$

$n(T\cup O)=10+10-1$

$n(T\cup O)=19$

Therefore, 19 positive integers are less than 100 those have at least one 9.

6 0

4 years ago

How can one fifth x − 2 = one third x + 8 be set up as a system of equations?

suter [353]

Answer:

none of the above

Step-by-step explanation:

The given equation can be divided into two parts:

... x - 2 = y = (1/3)x +8

Putting the left equation into standard form, it becomes

... y -x = -2

Multiplying it by 5 gives ...

... 5y -5x = -10 . . . . . . . . . . . matches answer choices A or B

Please note there is no obvious reason <em>why</em> the equation is multiplied by 5. (It is no longer in standard form when there is a factor of 5 that can be removed.)

___

Putting the right equation into standard form, it becomes

... y = (1/3)x + 8

... 3y = x + 24 . . . . . multiply by 3

... 3y -x = 24 . . . . . . subtract x . . . . . . matches answer choice D

Solution:

An appropriate system of equations is ...

5y -5x = -10
3y -x = 24

These have solution (x, y) = (15, 13) as the original equation does.

_____

<em>Comment on the question</em>

In cases like this, where none of the offered answers has any relevance to the problem, I suggest you have your teacher show you how to work this problem and check the resulting answer.

3 0

3 years ago

A volcano Irruption blasts a boulder upward with an initial velocity of 240 ft./s This modeled by the equation h(t)=-16t^2+240t.

torisob [31]

Answer:

1600 ft

Step-by-step explanation:

3 0

3 years ago

If an equilateral triangle has side length s, what is the total perimeter of the triangle? Write an equation.

kari74 [83]

Given that there is an equilateral triangle.

We know that equilateral triangle has all sides equal.

Perimeter = sum of all sides

P = s+s+s = 3s

P = 3s is the equaiton where P = perimeter and s = side of the triangle.

In geometry, an equilateral triangle is a triangle in which all three sides and angles are equal. ; that is, all three internal angles are also congruent to each other and hene have to be each 60°. It is also a regular polygon, with three sides and so sometimes also referred to as a regular triangle.

4 0

3 years ago

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