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3 years ago

What additional information would you need to prove that triangle ABC is equal to triangle DEF by SAS

1 answer:

8 0

There’s no picture so i can’t give an exact answer but their sides would need to be congruent obviously and they both need to have the angle sandwiched by two sides

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PLEASE PLEASE HELP ME!! NEEDING HELP BADLY!

Allisa [31]

Each paper cup is a cone.
The volume if a cone is (1/3) (pi) (radius)² (height)

Notice, in the picture they labeled the diameter of the cup = 8 cm.
But we need the radius. that's 1/2 of the diameter = 4 cm.

So, the volume of these paper cups is

 (1/3) (pi) (4cm)² (11 cm) = about 184 cm³
=====================

It says that tons of lemons have been sacrificed, and you have
about 37,850 cm³ of lemonade.

How many cups will that fill ?

 37,850 cm³ / 184 cm³ = about 205 cups.
========================

How many packs of cups do you need to buy ?
Unfortunately, they only come in packs of 50.

1 pack = 50 cups . . . . . not enough
2 packs = 100 cups . . . not enough
3 packs = 150 cups . . . not enough
4 packs = 200 cups . . . oh so close but still not enough

You need to buy 5 packs = 250 cups.
=================================

It started raining, so you only sold 80% of the lemonade that you had.

80% means 0.80
"of" means "times"

You started out with 37,850 cm³ .

You sold (0.8) x (37,850 cm³) = about 30,280 cm³ of it.

How many cups did you fill with that much lemonade ?
(Remember, each cup holds about 184 cm³.)

 30,280 cm³ / 184 cm³ = about 164 cups sold.

You bought 250 cups to start out.
You sold 164 cups of lemonade.

You had (250 bought - 164 used) =

 86 clean, unused paper cups, still in the wrappers, left over.

8 0

3 years ago

A restaurant owner was experimenting with the taste of her homestyle lemon drink. She started with 60 litres of water. She remov

Burka [1]

Answer:

ratio of pure lemon juice to water in the homestyle lemon drink is 5 : 19.

Step-by-step explanation:

In order to solve the final ratio of lemon juice to water, let us start by determining the initial ratio of pure lemon juice to water in the first mix. This is done as follows:

Total volume of mixture = 60 liters

initial volume of water = 60 liters

initial volume of lemon juice = 0 liters

1) She removed 15 liters of the water and replaced it with 15 liters of pure lemon juice.

Volume of water = 60 - 15 = 45 liters

Volume of lemon juice = 15 liters

$\therefore \frac{15}{60}\ = \frac{1}{4}\ of\ the\ first\ mix\ is\ lemon\ juice\\\frac{45}{60}\ = \frac{3}{4}\ of\ the\ first\ mix\ is\ pure\ water$

2) She removed 10 liters of the new mixture

Let us convert this amount removed into ratio:

$lemon\ juice\ = \frac{1}{4}\ \times 10 = \frac{10}{4} = \frac{5}{2}\ liters.\\ \therefore the\ owner\ removes\ \frac{5}{2}\ liters\ of\ pure\ lemon\ juice\\pure\ water\ = \frac{3}{4}\ \times 10 = \frac{30}{4} = \frac{15}{2}\ liters\\ \therefore\ the\ owner\ removes\ \frac{15}{2}\ liters\ of\ water\ from\ the\ first\ mix.$

New volumes of water and lemon juice after removing the 10 liters of mixture is calculated as follows:

$lemon\ juice\ = 15 - \frac{5}{2} = \frac{30-5}{2} = \frac{25}{2}\ liters\ of\ lemon\ juice\\pure\ water\ = 45 - \frac{15}{2} = \frac{90-15}{2} = \frac{75}{2}\ liters\ of\ pure\ water$

3) and replaced it with 10 liters of water.

$New\ volume\ of\ water\ = 10 + \frac{75}{2} = \frac{20+ 75}{2} = \frac{95}{2}\ liters$

The final ratio of lemon juice to water:

$\frac{25}{2} : \frac{95}{2}\\= 25 : 95\\= 5 : 19$

Therefore, the final ratio of pure lemon juice to water in the homestyle lemon drink is 5 : 19.

4 0

3 years ago

Help please I would appreciate it !

MAXImum [283]

Answer/Step-by-step explanation:

Given:

Line equation => $2.1x + 9.9y - 9.2 = 0$

Required:

x-intercept and y-intercept of the line.

SOLUTION:

The x-intercept is the point where the line intercepts the x-axis. To find the x-intercept of the line for which the equation is given above, set y = 0 and solve for x.

$2.1x + 9.9(0) - 9.2 = 0$

$2.1x + 0 - 9.2 = 0$

$2.1x - 9.2 = 0$

$2.1x - 9.2 + 9.2 = 0 + 9.2$

$2.1x = 9.2$

$\frac{2.1x}{2.1} = \frac{9.2}{2.1}$

$x = 4.4$ (approximated)

The y-intercept is the point where the line intercepts the y-axis. At this point, x = 0. Set x = 0 and solve for y to find the y intercept.

$2.1(0) + 9.9y - 9.2 = 0$

$9.9y - 9.2 = 0$

$9.9y - 9.2 + 9.2 = 0 + 9.2$

$9.9y = 9.2$

$y = \frac{9.2}{9.9}$

$y = 0.9$ (approximated)

4 0

4 years ago

Find the value of y. A.74 B.20 C.66 D.62

dmitriy555 [2]

Answer:

It's letter D.

Step-by-step explanation:

3.14÷60×50= 2.61 but you have to opposite remember if the number is a little number you have to opposite and that is the answer 6.2 but do not joy like this . so the real answer is 62

5 0

3 years ago

Can somebody answer this am confused?

Naddik [55]

Answer:

square, 4, 4

rectangle, 4, 4

triangle, 3, 3

pentagon, 5, 5

hexagon, 6, 6

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers