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vovikov84 [41]
3 years ago
11

The HCF of 240 and 150

Mathematics
1 answer:
jekas [21]3 years ago
8 0
Divide the numbers by (prime) numbers. The numbers should both be divisible by the (prime) numbers

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At the base of a pyramid, a surveyor determines that the angle of elevation to the top is °. At a point meters from the base, th
riadik2000 [5.3K]

Answer:

\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}

Step-by-step explanation:

Incomplete question:

<em></em>\angle CBD = 53^\circ<em></em>

<em></em>\angle CAB = 35^\circ<em></em>

<em></em>AB = 75<em></em>

<em></em>

<em>See attachment for complete question</em>

Required

Determine the equation to find x

First, is to complete the angles of the triangle (ABC and ACB)

\angle ABC + \angle CBD = 180 --- angle on a straight line

\angle ABC + 53= 180

Collect like terms

\angle ABC =- 53+ 180

\angle ABC =127^\circ

\angle ABC + \angle ACB + \angle CAB = 180 --- angles in a triangle

\angle ACB + 127 + 35 = 180

Collect like terms

\angle ACB =- 127 - 35 + 180

\angle ACB =18

Apply sine rule

\frac{\sin A}{a} = \frac{\sin B}{b}

In this case:

\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}

This gives:

\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}

4 0
3 years ago
Read 2 more answers
a recipe of cookies uses 220 g of butter and 110 g of caster sugar and 275 grams of flour what is the ratio of sugar to flour to
andre [41]

Answer: 22 to 55 to 44


Step-by-step explanation: Start with the factors you know. It can't be two because 2 doesn't go into 275 evenly. It can't be three because all of them evenly don't go into three. It can't be four because 110 and 275 don't go into it evenly. But five works. 110/ 5 is 22, 275/ 5 is 55, and 220/ 5 is 44.


7 0
3 years ago
10 ft
Gnom [1K]

Answer:

105.12 feets

Step-by-step explanation:

From the figure x we can identify a rectangle and a semicircle :

Area of rectangle = Length * width

Area = 8 * 10 = 80 feet²

The Area of a semicircle = 1/2πr²

Radius, r = 8 /2 = 4 feets

A = 1/2 * 3.14 * 4²

A = 3.14 * 8

A = 25.12 feet²

Area of figure = 80 + 25.12 = 105.12 feets

4 0
2 years ago
A car accelerates at 3.00 m/s2. The car has a mass of 1354kg. What net force will produce the acceleration?
otez555 [7]

Answer:

4062N

Step-by-step explanation:

Using Newton’s Second Law;

F = ma

F = (1354)(3)

F = 4062N

Hope this helps! :D

7 0
2 years ago
A cup of milk has 10 grams of protein. How much protein is in 2.5 cups of milk?
Sedaia [141]

Answer:

25 grams of protein

Step-by-step explanation:

10 grams of protein is in 1 cup of milk.

To understand how many grams of protein are in 0.5 cups of milk, I would need to divide 10 by 2, to get 5.

There are 5 grams of protein in 0.5 cups of milk.

Now if I want to see how many grams of protein are in 2 cups of milk, I would multiply 10 by 2, to get 20.

There are 20 grams of protein in 2 cups of milk.

But, the question is asking for how much protein is in 2.5 cups of milk.

Since we know how much is in 2 cups, and 0.5, we can just add them together, because 2+0.5 is 2.5.

20+5 is 25 grams.

There are 25 grams of protein in 2.5 cups of milk.

6 0
3 years ago
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