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vagabundo [1.1K]
3 years ago
12

I need some help please

Mathematics
1 answer:
nataly862011 [7]3 years ago
7 0
The side measuring 6.2 is adjacent to the reference angle x.  9 is the measure of the hypotenuse.  The trig ratio that relates the side adjacent to the hypotenuse is cosine.  We will actually use inverse cosine because what we are looking for is an angle measure.  Setting up properly, we have cos(x)= \frac{6.2}{9}.  When we do the division we get cos(x) = .68888888  In order to find the angle that has a cosine ratio of .6888888, we will hit the 2nd button on our calculator and then the cos button and we will see this on our display: cos ^{-1} and a parenthesis that is open.  Enter that .688888 in and hit enter and you'll get an angle measure of 46.45 or 46.5 rounded.  First choice from above.
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1000 cylindrical metal bars of length 120 m and diameter 0.2 m , as shown below, are to be used in constructing a bridge. He bar
Troyanec [42]

Answer:

the number of of litres of paint to the nearest litre for 1000 bars is 1 litre

Step-by-step explanation:

Given that:

1000 cylindrical metal bars have :

a length of 120 m

and a diameter of  0.2 m

The volume of the cylindrical bar can be calculated by the formula:

V= \pi r^2 h

where ;

radius   r=\dfrac{d}{2}

r = \dfrac{0.2}{2}

r = 0.1 m

the length of the cylindrical metal bars is equal to the height of the metal bar = 120 m

Thus the volume can now be calculated as follows:

V= \pi* 0.1^2*120

V = 3.77 m³

So; from the given information.

One litre of paint will cover 4m³

and we want to find how many litres of paint will be used for the 1000 cylindrical bars.

If        1 litre = 4m³

Then  x litre = 3.77 m³

4x = 1 × 3.77

x = \dfrac{1*3.77 }{4}

x = 0.9425 litres

x = 1 litres to the nearest litres.

Thus ; the number of of litres of paint to the nearest litre for 1000 bars is 1 litre

4 0
4 years ago
Prove the following​
jenyasd209 [6]

Answer:

Step-by-step explanation:

sin(180°-∅)=sin∅ as its in the 2nd quadrant

then tan(180°-∅)= -tan∅ as its in the 2nd quadrant and there only sin and cosec is positive and at last cos(180°-∅) = -cos∅ for the same reason

so by putting the values:

sin∅/sin∅ + -tan∅/tan∅ + -cos∅/cos∅ =1-1-1= -1

thanks ..

3 0
3 years ago
Chef Daniel had 431 ounces of chocolate frosting in his refrigerator. It takes 8 ounces of frosting to frost one cupcake. How ma
Alex

Answer:

53 cupcakes

Step-by-step explanation:

Take the amount of frosting and divide by the amount needed per cupcake

431/8

53.875

We round down since we cannot frost part of a cupcake

53 cupcakes

7 0
4 years ago
Read 2 more answers
Use matrices to write the equation of the function in the form y = mx + b that contains the points
Fofino [41]

The line has a slope of -6 and a y intercept of 7.

The linear equation is given by:

y = mx + b;

where m is the slope of the line, b is the y intercept, y, x are variables.

The equation of the line passing through the points (6.-29) and (-4,31) is:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-29)=\frac{31-(-29)}{-4-6}(x-6)\\\\y+29=-6(x-6)\\\\y=-6x+7

Hence the line has a slope of -6 and a y intercept of 7.

Find out more at: brainly.com/question/13911928

3 0
3 years ago
HELPPPPP!!!!! Is the following number rational or irrational? \sqrt{99} ​ Choose 1 answer: Choose 1 answer: (Choice A) A Rationa
Evgen [1.6K]

Answer:

√99 is irrational

Step-by-step explanation:

5 0
4 years ago
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