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Korvikt [17]
3 years ago
11

What is the exact quotient of 434 divided by 7

Mathematics
1 answer:
liberstina [14]3 years ago
7 0
434 divided by 7 equals 62.
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Martha has 3 cards but she wants more.if she makes 5 cards an hour, how many cards will she have after 6 hours?
Genrish500 [490]

Answer:

5x6=30

30+3=33

i think that's the answer

Step-by-step explanation:


8 0
3 years ago
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Guests at a campground can stay in a teepee
OleMash [197]

Answer:900ft

Step-by-step explanation: v=l×w×h/3 =15×10×18/3=900

5 0
3 years ago
What is the volume a circular spray tank if it has a diameter of 5 feet and height of 7 feet
Sedbober [7]
V=hpir^2
d/2=r
5/2/2.5

h=7
V=7pi2.5^2
v=7pi6.25
V=43.75pi
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V=137.44465


V=43.75pi ft^3 or aprox 137.44465 ft^3

7 0
3 years ago
The hypotenuse of a right angled triangle is 2√13 cm . If the smaller side is increased by 2 cm and the larger side is increased
White raven [17]

<em><u>Statement:</u></em>

The hypotenuse of a right angled triangle is 2√13 cm. If the smaller side is increased by 2 cm and the larger side is increased by 3 cm, the new hypotenuse will be √117 cm.

<em><u>To find out:</u></em>

The length of the larger side of the right angled triangle.

<em><u>Solution:</u></em>

Let us consider x as the smaller side and y as the larger side.

Then, in the right angled triangle,

x² + y² = (2√13)² ...(I) [By Pythagoras Theorem]

Now, if the smaller side is increased by 2 cm, then the smaller side will be (x + 2).

And if the larger side is increased by 3 cm, then the larger side will be (y + 3).

Then, in the new right angled triangle,

(x + 2)² + (y + 3)² = (√117)² [By Pythagoras Theorem]

or, x² + 2 × 2 × x + 2² + y² + 2 × 3 × y + 3² = (√117)²

or, x² + 4x + 4 + y² + 6y + 9 = (√117)²

or, x² + y² + 4x + 6y + 13 = (√117)²

Now, put the value of x² + y² from equation (I),

or, (2√13)² + 4x + 6y + 13 = (√117)²

or, (2 × 2 × √13 × √13) + 4x + 6y + 13 = (√117 × √117)

or, 52 + 4x + 6y + 13 = 117

or, 4x + 6y = 117 - 52 - 13

or, 4x + 6y = 52

or, 4x = 52 - 6y

or, x = \frac {(52 - 6y)}{4} ...(II)

Now, put the value of x of equation (II) in (I),

x² + y² = (2√13)²

or, \frac {(2704-624y +36y²)}{16} + y² = 52

or, \frac {(2704-624y +36y² + 16y²)}{16}= 52

or, 52y²-624y + 2704 = 52 × 16

or, 52y² - 624y + 2704 - 832 = 0

or, 52y² - 624y + 1872 = 0

or, 52(y² - 12y + 36) = 0

or, y²-12y +36 = 0 ÷ 52

or, y²-12y +36 = 0

or, (y)² - 2 × 6 × y + (6)² = 0

or, (y - 6)² = 0

or, y - 6=0

or, y = 6

We have taken y as the length of the larger side of the right angled triangle.

So, the length of the larger side is 6 cm.

<em><u>Answer:</u></em>

6 cm

Hope you could understand.

If you have any query, feel free to ask.

6 0
2 years ago
252 calories in 4 servings is how many calories per serving?
Lelu [443]

Answer:

63 calories

Step-by-step explanation:

Divide the number of calories by the number of servings

calories/servings

252/4

63

So, there are 63 calories per serving

Hope this helps!

8 0
3 years ago
Read 2 more answers
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