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3 years ago

No work just an answer

Mathematics

1 answer:

Paladinen [302]3 years ago

3 0

Answer:

437.4m

Step-by-step explanation:

1 cm = 4.5m

7.2x4.5=32.4

3x4.5=13.5

32.4x13.5 = 437.4m

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Please write down your work on the loose leaf, take a CLEAR picture, and upload here. Thank you.

Zigmanuir [339]

Answer:

m(∠C) = 18°

Step-by-step explanation:

From the picture attached,

m(arc BD) = 20°

m(arc DE) = 104°

Measure of the angle between secant and the tangent drawn from a point outside the circle is half the difference of the measures of intercepted arcs.

m(∠C) = $\frac{1}{2}[\text{arc(EA)}-\text{arc(BD)}]$

Since, AB is a diameter,

m(arc BD) + m(arc DE) + m(arc EA) = 180°

20° + 104° + m(arc EA) = 180°

124° + m(arc EA) = 180°

m(arc EA) = 56°

Therefore, m(∠C) = $\frac{1}{2}(56^{\circ}-20^{\circ})$

m(∠C) = 18°

8 0

3 years ago

What is the value of x? pls help im so confused

Makovka662 [10]

In the proportional theory,

28 units is the total measurement that includes 8 units.

So, 10 + 3x - 5 is the total measurement that includes 10 units proportionally.

This means,

28 = 10 + 3x - 5

Now solve for x,

28 = 10 + 3x - 5

28 - 10 = 3x - 5

18 + 5 = 3x

23 = 3x

23 / 3 = x

So x = 23/3 or 7.6666....

5 0

3 years ago

There are two numbers whose sum is 64. The larger number subtracted from 4 times the smaller number gives 31. Find the numbers.

Pani-rosa [81]

There are two numbers whose sum is 64. The larger number subtracted from 4 times the smaller number gives 31. Then the numbers are 45 and 19

<h3>Solution:</h3>

Given that, There are two numbers whose sum is 64.

Let the number be a and b in which a is bigger.

Then, a + b = 64 ------ eqn (1)

The larger number subtracted from 4 times the smaller number gives 31.

4 x b – a = 31

4b – a = 31 ----- eqn (2)

We have to find the numbers.

So, from eqn (2)

a = 4b – 31

Subatitute a in (1)

4b – 31 + b = 64

On solving we get

5b = 64 + 31

5b = 95

b = 19

So, b = 19, then eqn 1

a + 19 = 64

On simplification,

a = 64 – 19

a = 45

Hence, the two numbers are 45 and 19

3 0

3 years ago

Jonah is going to the store to buy candles. Small candles cost $2.50 and large candles cost $7.00. He needs to buy at least 20 c

artcher [175]

The system of linear inequalities are:

$a + b \geq 20\\\\2.50a + 7b\leq 80$

Solution:

Let "a" be the number of small candles bought

Let "b" be the number of large candles bought

He needs to buy at least 20 candles

Therefore, number of small candles and number of large candles bought must be at least 20

Thus, we frame a inequality as:

$a + b \geq 20$

"at least" means greater than or equal to

Here, we used "greater or equal to" symbol because, he can buy 20 candles or more than 20 candles also

From given,

Cost of 1 small candle = $ 2.50

Cost of 1 large candle = $ 7

He can spend no more than 80 dollars

Which means, he spend maximum 80 dollars or less than 80 dollars also

So we have to use "less than or equal to" symbol

Thus, we frame a inequality as:

Number of small candles bought x Cost of 1 small candle + number of large candles bought x Cost of 1 large candle $\leq$ 80

$a \times 2.50 + b \times 7 \leq 80\\\\2.50a + 7b\leq 80$

Thus the system of linear inequalities are:

$a + b \geq 20\\\\2.50a + 7b\leq 80$

3 0

3 years ago

Piper deposited $734.62 in a savings account that earns 2.6% simple interest. What is Piper’s account balance after seven years?

r-ruslan [8.4K]

That would be $868.32 okay :)

5 0

3 years ago