Please help asap Two vertices of a polygon are (7, −18) and (7, 18) . What is the length of this side of the polygon?

In a certain isosceles right triangle, the altitude to the hypotenuse has length

Law Incorporation [45]

The angle bisector, median, and altitude are all the same things in an isosceles triangle.

That means that the legs of the smaller triangles created by the altitude are 4 root 2.

By special properties of an right triangle, the hypotenuse is 8.

Since the legs of the original right triangle are congruent, the area of the original triangle is 8*8/2.

Now we just simplify:

8*8/2=64/2=32

8 0

3 years ago

The electric bill in May was $248.00. In June the bill was $265.00. What is the percent of increase rounded to the nearest hundr

natali 33 [55]

1) May: 248$ and june 265$. The difference is 17$ and then you divide the difference with the old price: 17/ 248 = 6,85%
2) Same method, the difference is 59$ so 27,44%'
3) The difference is 9,5$ so you answer is 63,3%
4) The difference is 10$ divided by the original price: 10/24 = 41,66%

4 0

3 years ago

Read 2 more answers

Marcela is registering for her college classes, which cost $105 per unit. How many units can she take to have a maximum cost of

OverLord2011 [107]

Answer:

Marcela can take up to 13 units.

Step-by-step explanation:

In order to find the number of units that Marcela can take for her college classes, we can set up an inequality and solve for the variable. Since each unit costs $105, we can say that 105u ≤ 1365 where u = the number of units. The number of units multiplied by the cost per unit, must be less than or equal to $1,365. In order to solve for 'u', we can use inverse (opposite) operations and get rid of the coefficient by dividing both sides of the inequality by 105. 1365÷105 = 13. So, the number of units that Marcela can take must be less than or equal to 13 units.

6 0

2 years ago

Read 2 more answers

A triangle has two sides of length 19 and 15. What is the largest possible whole-number length for the third side?

tensa zangetsu [6.8K]

Answer: 33

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.

8 0

2 years ago

Activity

hodyreva [135]

Answer:

The answers to each part are:

Part A.

The quantity of apples is one-third of the quantity of grapes.

Part B.

The quantity of apples is a quarter of the quantity of strawberries.

Part C.

The number of cherries is two-elevenths of the total fruit.

Step-by-step explanation:

To identify the answer in each case, you must remember that all the parts are equal, then:

Part A.

The parts of apples are 1 and the parts grapes are 3, so if you divide the first quantity with the second quantity you obtain:

1 / 3 = 1/3 (one-third)

So, the quantity of apples is one-third of the quantity of grapes or the quantity of apples is three times smaller than the quantity of grapes.

Part B.

The parts of apples are 1 and the parts of strawberries are 4, then you must divide the first quantity with the second quantity:

1 / 4 = 1/4 (a quarter)

In this case, the quantity of apples is a quarter of the quantity of strawberries or the quantity of apples is four times smaller than the quantity of strawberries.

Part C.

First, you must add all the part of fruit:

1 part apple
1 part orange
4 parts strawberry
2 parts cherry
3 parts grape

The total of fruits is 11 parts, taking into account the quantity of cherries is 2, now you can divide the number of cherries with the total parts of fruit:

2 / 11 = 2/11 (two-elevenths)

Now, you can see the number of cherries is two-elevenths of the total fruit.

3 0

3 years ago