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2 years ago

6

Grogg typed the following $1000$ expressions into his calculator, one by one: \[\sqrt{1}, \sqrt{2}, \sqrt{3}, \sqrt{4}, \dots, \

sqrt{999}, \sqrt{1000}.\]How many times will Grogg's result be an integer?

1 answer:

sergey [27]2 years ago

5 0

Answer:

pano po yan hinde ko po alam

Step-by-step explanation:

paturo po

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Toy train A crosses a pole after every 24seconds. Toy train B crosses the pole after every 30 seconds and toy train C crosses th

gizmo_the_mogwai [7]

Answer: 6 minutes

Step-by-step explanation:

From the question, Toy train A crosses a pole after every 24seconds while Toy train B crosses the pole after every 30 seconds and then toy train C crosses the pole after every 36 seconds. We are going to solve this by finding their lowest common multiple (LCM).

24 = 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360.

30 = 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 360, 390

36 = 36, 72, 108, 144, 180, 216, 252, 288, 324, 360.

We can see that the lowest common multiple of 24, 30 and 36 is 360.

Since 60 seconds make 1 minute, this will be converted to minutes.

= 360/60

= 6 minutes.

They all cross the pole together after 6 minutes.

6 0

2 years ago

Javier is making a cake for a party. The recipe calls for 2 3 4 234 cups of flour, but he wants to triple the recipe. He guessed

GalinKa [24]

The correct question is
<span>Javier is making a cake for a party. The recipe calls for 2 3/4 cups of flour, but he wants to triple the recipe. He guessed and put in 7 cups of flour. How many more cups of flour should he have used?

we know that
2 3/4 cups of flour------> (2*4+3)/4----> 11/4 cups
if he </span>wants to triple the recipe------> 3*(11/4)----> 33/4 ----> 8 1/4 cups required

8 1/4-7=1 1/4 cups

the answer is
1 1/4 cups

5 0

2 years ago

Round 6.512459 to the nearest ten thousandths?

PtichkaEL [24]

$6.512459\\\\Since\ the\ fifth\ place\ (hundred\ thousandths)\ is\ 5\ or\ more\ (it's\ 5),\\the\ fourth\ place\ (ten\ thousandths)\ is\ increased\ by\ 1.\\\\Answer:6.512459\approx6.5125$

4 0

2 years ago

Read the proof. Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° Prove: △HKJ ~ △LNP Statement Reason 1. m∠H = 30°, m∠J = 50°,

motikmotik

Answer:

$2. m\angle H+m\angle J +m\angle K =180^{\circ}$

Reason: the sum of all interior angles of any triangle is equal to 180º.

Step-by-step explanation:

1) Organizing

Statement 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. Reason: given

2) Since the sum of all internal angles of any triangle is equal to 180º, just like the formula. N the number of sides of a triangle:

$S_{i}=180^{\circ}(n-2)\rightarrow 180(3-2) \therefore S_{i}=180^{\circ}$

3) We can also say

$m\angle K=180^{\circ}-(m\angle H+m\angle J)\\m\angle K=180^{\circ}-\left ( 30^{\circ}+50^{\circ} \right )\\m\angle K=100^{\circ}$

Similarly to the other triangle:

$m\angle L=180^{\circ}-(m\angle N+m\angle P)\\m\angle L=180^{\circ}-\left ( 100^{\circ}+50^{\circ} \right )\\m\angle L=30^{\circ}$

4) Hence,

$2. m\angle H+m\angle J +m\angle K =180$

Reason: The sum of interior angles is equal to 180º.

8 0

2 years ago

I am between 24 and 34. You say my name when you count by twos from zero. You say my name when you count by fives from zero. Wha

lions [1.4K]

Is the number 30?

(Extra words because I can't post without them)

4 0

2 years ago

Read 2 more answers