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timofeeve [1]
3 years ago
15

There are two triangles. One has a base of 8cm and the height of 10 cm the other has a base of 5cm and a height of 13cm which tr

iangle has a larger area
Mathematics
1 answer:
mina [271]3 years ago
4 0

Answer:

The first triangle is larger

Step-by-step explanation:

(1/2)(8)(10)=40

(1/2)(5)(13)=32.5

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Check all of the ordered pairs that satisfy the equation below.y=2/5x
zvonat [6]

We are going to do this step by step:

Let's start with option A

A.

X = 25 and Y = 5/2

y=\frac{2}{5}\cdot x=\frac{2}{5}\cdot25=\frac{2\cdot25}{5}=\frac{50}{5}=\frac{5\cdot10}{5\cdot1}=10

In this case, when X = 25 , then Y = 10 ,which is different to 5/2

B.

X = 14 , Y = 35

y=\frac{2}{5}\cdot14=\frac{28}{5}

In case, when X = 14, then Y = 28/5, which is different to 35

C.

X = 40 , Y = 24

y=\frac{2}{5}\cdot40=\frac{80}{5}=16

Similarly, in this case, when X = 40, then Y = 16, which is different to 24

D.

X = 10 , Y=4

y=\frac{2}{5}\cdot10=\frac{20}{5}=4

Now, in this case, we can see that when X = 10, then Y = 4 which is the same as the given value of Y

E.

X = 50 , Y = 20

y=\frac{2}{5}\cdot50=\frac{100}{5}=20

In this case, the values of Y are also the same.

F.

X = 30 , Y = 12

y=\frac{2}{5}\cdot30=\frac{60}{5}=12

Again, in this case, the values of Y are the same, so the pair satisfies the equation.

In conclusion: options D, E and F satisfy the equation

3 0
11 months ago
5. Use the rules for long division to divide 262 by 9. A. 29r1 B. 28 C. 30 D. 29
vfiekz [6]
Since 270=262+8, and \dfrac{270}9=30, we have

\dfrac{270}9=\dfrac{262}9+\dfrac89
\implies30-\dfrac89=\dfrac{262}9
\implies29+\dfrac19=\dfrac{262}9

so the answer is A.

6 0
2 years ago
Select the three ratios that are equivalent to 2 adults5 children. CLEAR CHECK 8 adults20 children 5 adults8 children 20 adults5
xeze [42]

Answer:

Step-by-step explanation:

The ratio of adult to children is determined by number of adult / number of children.

We want to determine the three ratios that are equivalent to 2 adults 5 children. So we will divide each of the given number of adults and children.

1) 8 adults 20 children = 8/20 = 2/5

2) 5 adults 8 children = 5/8

3) 20 adults 50 children = 20/50 = 2/5

4) 4 adults 10 children = 4/10 = 2/5

So the three ratios that are equivalent to 2 adults 5 children are

8 adults 20 children,

20 adults 50 children and

4 adults 10 children

4 0
3 years ago
Using the information that
seropon [69]

Answer:

a) 54.6

b) 140

Step-by-step explanation:

7644 ÷ 140 = 54.6

so;

7644 ÷ 54.6 = 140

7 0
3 years ago
Read 2 more answers
Write 9x² - 36x = 4y² + 24y + 36 in standard form
Kisachek [45]

Answer:

9·x² - 36·x = 4·y² + 24·y + 36 in standard form is;

(x - 2)²/2² - (y + 3)²/3² = 1

Step-by-step explanation:

The standard form of a hyperbola is given as follows;

(x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/b² - (x - h)²/a² = 1

The given equation is presented as follows;

9·x² - 36·x = 4·y² + 24·y + 36

By completing the square, we get;

(3·x - 6)·(3·x - 6) - 36 = (2·y + 6)·(2·y + 6)

(3·x - 6)² - 36 = (2·y + 6)²

(3·x - 6)² - (2·y + 6)² = 36

(3·x - 6)²/36 - (2·y + 6)²/36 = 36/36 = 1

(3·x - 6)²/6² - (2·y + 6)²/6² = 1

3²·(x - 2)²/6² - 2²·(y + 3)²/6² = 1

(x - 2)²/2² - (y + 3)²/3² = 1

The equation of the hyperbola  is (x - 2)²/2² - (y + 3)²/3² = 1.

5 0
2 years ago
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