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Slav-nsk [51]
3 years ago
8

Find the cosine of ∠D.

Mathematics
1 answer:
Alina [70]3 years ago
8 0

Answer:

5/13

Step-by-step explanation:

Using SOHCAHTOA

Cosine of D = adjacent / hypotenuse

Cosine of D = 5 / 13

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The formula F= 9 5 ( C)+32 converts a temperature reading from Celsius into Fahrenheit. What does 20° C convert to in terms of d
Helga [31]

Answer:

F = 9 / 5 * 20 + 32 = 9 * 4 + 32 = 68 deg F

Step-by-step explanation:

8 0
3 years ago
Determine if \sqrt{3}
gtnhenbr [62]

Answer:

Irrational

Step-by-step explanation:

The square root of 3 is not a perfect square, therefore it is irrational. Another way you could see if it is rational is if it can be put in a fraction, if it can't, then it is irrational.

8 0
3 years ago
If s=7 cm and t= 24 cm, what is the length of r?
marin [14]
A^2 + B^2 = C^2.

so 49 + 576 = C^2

625 = C^2

Now find the square root of 625.

25 = C (in your case r)
3 0
4 years ago
What is the axis of symmetry for the graph of y – 4x = 7 – x2
eimsori [14]

we know that

The equation in vertex form of a vertical parabola is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to the x-coordinate of the vertex

so

x=h -----> equation of the axis of symmetry

In this problem we have

y-4x=7-x^{2}

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

y-7=-x^{2}+4x

y-7=-(x^{2}-4x)

Complete the square. Remember to balance the equation by adding the same constants to each side

y-7-4=-(x^{2}-4x+4)

y-11=-(x^{2}-4x+4)

Rewrite as perfect squares

y-11=-(x-2)^{2}  

y=-(x-2)^{2}+11  

the vertex is the point (2,11)

therefore

<u>the answer is</u>

The axis of symmetry is

x=2

see the attached figure to better understand the problem

5 0
4 years ago
Read 2 more answers
A farmer pumps water from an irrigation well to water his field. the time it takes to water the field varies inversely with the
KonstantinChe [14]
In order to answer this question, we use the concept of ratio and proportion wherein we use the equation,
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where R is for rate and T is for time. Substituting the known values to the equation,
                                 (600)/x = (400)/ 20
The value of x from the equation is 30. Thus, it will take 30 hours if the rate was adjusted to 400 gallons per minute. 
6 0
3 years ago
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