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dedylja [7]
3 years ago
5

Can someone help with this math question please

Mathematics
1 answer:
Alex73 [517]3 years ago
8 0
Question 9

For this question, you work out the areas of the different shapes - the two triangles and the large rectangle.
------------------------------------------------------------------------------------------------------------
To get the area of the rectangle, you must use a ruler to measure out the:
 height of the shape and the base of the shape

(try to be as accurate as possible when measuring)

Then to get the area of the rectangle, multiply the Height by the Base. 
-------------------------------------------------------------------------------------------------------------

For the triangles, you measure the out the base and the height .
Then you use the formula for the area of a triangle, which is:

Height x Base x \frac{1}{2}

So, you measure out the base and height of one triangle, then use the formula to work out the area,    then you do the same for the second triangle.
-------------------------------------------------------------------------------------------------------------
Finally, you add up all of the areas:

Total area = area of rectangle + area of first triangle +area of second triangle

then you choose the option that is closest to your answer <span>(remember to be accurate with the ruler!)
</span>-------------------------------------------------------------------------------------------------------------

Question 10<span>

</span>Lets say we wanted to know how much 10 bottles of water cost

To do this, we would multiply the number of water bottles we want (which is 10)  by how much one water bottle costs.<span>

</span>Lets say one water bottle costs £1.  
We would multiply the £2   by 10 (which is the number of water bottles)

So 10 water bottles would cost :   £2 x 10 = <span>£20
</span>
-------------------------------------------------------------------------------------------------------------

Now lets apply this knowledge to the question:

The <u>ANSWER </u>would be:
G) multiplying n by the cost of one bottle

To get the total total cost, we multiply the number of bottles we buy by the cost of one bottle
-------------------------------------------------------------------------------------------------------------

Question 11

For this one, we are told that the company charges $40 for hooking a vehicle.
We are also told that they charge $1.70 for each mile  the vehicle is towed.

Therefore the <u>ANSWER </u>would be;

B) 
c = 40 + 1.70m

$1.70m   means   $1.70   times the number of miles, and we are told that they charge 1.70 for every mile.  



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part 2. Find the value of the trig function indicated, use for that Pythagorean theorem to find the third side if you need it.​
andreev551 [17]

Answer:  \bold{5)\ \cos \theta=\dfrac{\sqrt{11}}{6}\qquad 6)\ \tan \theta =\dfrac{8}{17}\qquad 7)\ \cos \theta = \dfrac{4}{3}\qquad 8)\ \cos \theta = \dfrac{\sqrt{10}}{10}}

<u>Step-by-Step Explanation:</u>

Pythagorean Theorem is: a² + b² = c²  , <em>where "c" is the hypotenuse</em>

5)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3\sqrt{11}}{18}\quad \rightarrow \large\boxed{\dfrac{\sqrt{11}}{6}}

Note: (15)² + (3√11)² = hypotenuse²   →   hypotenuse = 18

6)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{8}{17}\quad =\large\boxed{\dfrac{8}{17}}

Note: 8² + 15² = hypotenuse²   →   hypotenuse = 17

7)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{20}{15}\quad \rightarrow \large\boxed{\dfrac{4}{3}}

Note: hypotenuse not needed for tan

8)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt{10}}\quad =\large\boxed{\dfrac{\sqrt{10}}{10}}

Note: 2² + 6² = hypotenuse²   →   hypotenuse = 2√10

8 0
2 years ago
Darla has four buckets shaped like cylinders she is filling the buckets with water by using a scoop shaped like a cone if the co
padilas [110]

Answer:

12 Scoops

Step-by-step explanation:

Darla has 4 Cylinder Shaped Buckets

Volume of the Cylinders =4*\pi r^2h

The scoop is cone shaped and:

Volume of the Cone Scoop =\frac{1}{3} \pi r^2h

Since the radius and height of the cone scoop and cylindrical buckets are the same,

The number of Cone Scoops it will take to fill the buckets is:

Total Volume of Buckets/Volume of Cone Scoops

=\dfrac{4*\pi r^2h}{\frac{1}{3} \pi r^2h} \\=4 \div \frac{1}{3}\\=12

It will take 12 Scoops to fill the 4 buckets.

5 0
3 years ago
Which equation represents a line that is perpendicular to line PQ?
valentinak56 [21]

Answer:

B. y=1/3x+4

Step-by-step explanation:

Hi there!

We are given the line PQ and we want to find the line that is perpendicular to it

Perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1

So first, let's find the slope of the line PQ

The point P is given as (-8, 7) and the point Q is given as (-4, -5)

The formula for the slope calculated from two points is \frac{y_2-y_1}{x_2-x_1} where (x_{1} y_1) and (x_2, y_2) are points

We have the needed information for the slope, but let's label the values of the points to avoid any confusion

x1=-8

y1=7

x2=-4

y2=-5

Now substitute into the formula (m is the slope, and remember: the formula contains SUBTRACTION):

m=\frac{(-5-7)}{(-4--8)}

simplify

m=\frac{-5-7}{-4+8}

add

m=-12/4

divide

m=-3

So the slope of the line PQ is -3

As said above, perpendicular lines have slopes that have a product of -1

So to find the slope of the line perpendicular to PQ, use this formula:

-3m=-1

divide both sides by -3

m=1/3

The only line that has a slope of 1/3 is B (y=1/3x+4), so B is the answer.

Hope this helps!

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3 years ago
A recipe for 3 cups of snack mix calls for 1··2cup of pretzels. You can describe this as 3 cups of snack mix for every 1··2cup o
lukranit [14]

Answer:

i do not know

Step-by-step explanation:

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3 years ago
If using the method of completing the square to solve the quadratic equation
goblinko [34]

Answer:

Step-by-step explanation:

3 0
2 years ago
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