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pav-90 [236]
3 years ago
6

Need help to solve please

Mathematics
1 answer:
attashe74 [19]3 years ago
3 0

Answer:

\displaystyle m\angle RTU=73^\circ

Step-by-step explanation:

<u>Interior Angle of a Circle</u>

An interior angle of a circle is formed at the intersection of two lines that intersect inside a circle.

Lines AC and BD of the figure attached below intersect forming arcs p and q. The measure of the interior angle x  is:

\displaystyle x=\frac{p+q}{2}

The question includes the drawing of a circle with lines US and RV intersecting at point T. The measure of the interior angle RTU is:

\displaystyle m\angle RTU=\frac{68^\circ+78^\circ}{2}

\displaystyle m\angle RTU=\frac{146^\circ}{2}

\boxed{\displaystyle m\angle RTU=73^\circ}

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find the measure of the angle of elevation of the sun to the nearest degree, if a 100ft tall building casts a 150ft shadow.​
Svet_ta [14]

Answer:

33.7º

Step-by-step explanation:

tan  = opp/adj

tan∅ = 100/150 = 2/3

∅ = arctan 2/3

∅ = 33.690067525979787

33.7º

5 0
3 years ago
What is the mode of the data set<br> 7|788|1447|9|0910|233311|8
marusya05 [52]
There is NO MODE for the data set because none of the numbers are repeated at least once.
4 0
3 years ago
Help me..................... i neeed it
CaHeK987 [17]
Just multiply 38 by 50. 
1,900
7 0
3 years ago
Read 2 more answers
X + 1/4x = 15. What is the solution to the equation?
Sauron [17]

Answer:

Step-by-step explanation:

hello :

X + 1/4x = 15

multiply by 4 : 4x+x = 60

5x=60

now divid by 5 you have : x=12

7 0
3 years ago
Suppose it is found that a certain model of car sells y= -1.6(x-2)^2 + 4.8(x-2) + 16 cars per week, where x is the number of sho
Vilka [71]

Answer:

Approximately 4 shops would be the best number of shops which the car is sold, and the number of cars is 20.

Step-by-step explanation:

This is a quadratic function. Therefore, the first thing you need to do is assume some values for x, and then, calculate the value of y, (which would be the number of cars sold). In this way, you can do the graph.

Watch the following attachment, which is a document of excel, showing the graph and some values of x, that I assume

Now, even if you don't have the graph you can estimate the number of shops with the following expression of the summit:

X = -b / 2a

Where:

a: number that goes along with the x elevated.

b: number that goes along with the x, but without being elevated.

In this equation, the first thing we need to do, is rearrange it, that's because we have a (x-2) in the equation, and this could be really annoying.

First let's solve the (x-2)^2

(x-2)^2 = (x-2)(x-2) = x^2 - 2*2x + 2^2 = x^2 - 4x + 4

This is now multiplied by -1.6:

-1.6x^2 + 6.4x - 6.4

Now, multiply 4.8 by x-2:

4.8x - 9.6

Finally, let's arrange this:

-1.6x^2 + 6.4x - 6.4 + 4.8x - 9.6 + 16

-1.6x^2 + 11.2x - 6.4 - 9.6 + 16 = -1.6x^2 + 11.2x

This means that the graph do not have a "y" intercept, and the values of a and b are -1.6 and 11.2, therefore, we can estimate the best number of shops, calculating the summit of the graph (This is because s a quadratic function, and the graph is a parable, and the minimum or maximum point of the graph is reached in the summit)

Summit has X and Y values, the x value is (see formula above):

X = -11.2 / 2 * -1.6 = 3.5

and for the y value, just replace the X value in the equation:

Y = -1.6(3.5)^2 + 11.2(3.5) = -19.6 + 39.2 = 19.6

With this we can conclude that the best number of shops that sells this model of car, is 4 (rounded) and they all sell 20 cars (also rounded). See the graph below in the attachment.

Download xlsx
4 0
3 years ago
Read 2 more answers
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