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3 years ago

7

Mathematics

1 answer:

Mashutka [201]3 years ago

8 0

Answer:

12 square units

Step-by-step explanation:

The area of a given figure is the measure of space occupied by the figure on a 2 dimensional plane.

Area of a triangle = $\frac{1}{2}$ x base x height

From the given grid, the following can be observed for triangle STU.

base SU = 6 units

height = 4 units

Thus,

area of triangle STU = $\frac{1}{2}$ x base x height

= $\frac{1}{2}$ x 6 x 4

= 3 x 4

area of triangle STU = 12 square units

The required area of triangle STU is 12 square units.

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Vera prepared 24 kilograms of dough after working 3 hours. How much dough did vera prepare if she workes for 6 hours?

Nataly [62]

Answer:

48 kg

Step-by-step explanation:

She can make 24 kg of dough in 3 hours

Multiply each by 2

She can make 24*2 kg of dough in 3*2 hours

She can make 48 kg of dough in 6 hours

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3 years ago

Sixty is 150 percent of what number?

Jobisdone [24]

Answer:

its 40. hope this helps : )

Step-by-step explanation:

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3 years ago

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If you are solving y 2+2y=48 by completing the square, the next line would be

snow_tiger [21]

For this case we have the following equation:

$y ^ 2 + 2y = 48$

By completing squares we have:

Step 1:

Add $(\frac {b} {2}) ^ 2$ on both sides:

$y ^ 2 + 2y + 1 = 48 + 1$

Step 2:

We rewrite the equation:

$(y + 1) ^ 2 = 49$

Step 3:

We solve the equation:

$y = \pm \sqrt {49} -1\\y = \pm7-1$

Solutions:

$y = 6\\y = -8$

Answer:

the next line would be:

$y ^ 2 + 2y + 1 = 48 + 1$

6 0

3 years ago

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Ada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice. Let s represent the number of cu

Dafna11 [192]

Answer:

s = 2j

Step-by-step explanation:

Given - Ada makes sparkling juice by mixing 2 cups of sparkling water

with every 4 cups of apple juice. Let s represent the number of

cups of sparkling water and j represent the number of cups of

apple juice.

To find - Write an equation that shows how s and j are related.

Proof -

Let total number of cups of sparkling water make = s

Total number of cups of apple juice make = j

Now,

Given that, Ada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice.

⇒2s = 4j

⇒s = 2j

∴ we get

Ada can makes sparking water by mixing 2j cups of sparking water with every j cups of apple juice.

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3 years ago

The first term of geometric sequence is 7 and the common ratio is -2. Find the 9th term.

kobusy [5.1K]

$a_{1}$ = 7.

Ratio means multiply/divide.
To get the next number, multiply number by common ratio.
To get a previous number, divide by common ratio.

Since we want the next number...
2nd term: 7 x -2 = -14
3rd term: -14 x -2 = 28
4th term: 28 x -2 = -56
5th term: -56 x -2 = 112

Keep going until 9th term!

5 0

3 years ago