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Galina-37 [17]
2 years ago
11

A triangle has sides of length 3 cm, 5 cm, and 7 cm.

Mathematics
1 answer:
BlackZzzverrR [31]2 years ago
5 0

Answer:

C=120 degrees

Step-by-step explanation:

We can use the law of cosines to find an angle when we have all three sides

(7)^2 = (5)^2 + (3)^2 -(2)(5)(3)Cos(C)

49 = 25 +9 -30Cos(c)

49= 34 -30Cos(c)

15 = -30Cos(c)

Cos(c) = -1/2

C=120 degrees

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Quently As
Anna71 [15]

Answer:

A) 18.3

Step-by-step explanation:

Since adding b and a gives 19.

c must be less than 19.

So, A) 18.3 is the correct answer

5 0
2 years ago
Read 2 more answers
Which function is increasingnon the interval (negative infinity, positive infinity)
BlackZzzverrR [31]

Answer:

h(x) = 2^(x) - 1.

Step-by-step explanation:

Let's look at each equation:

f(x) = -3x +7, Well as x increases, since it's multiplication, there are "going to be more" -3's, so it's going to be decreasing.

g(x) = -4(2^x). While 2^x is increasing, because "there are going to be more 2's multiplied by each other" as x increases, it's being multiplied by a negative number, so it's actually going to be decrasing

h(x) = 2^(x) - 1. Here's it's going to be increases as x goes towards infinity because "there are going to be more 2's multiplied by each other", and there isn't any negative sign, while there is a negative 1, it's constant, so the overall value will be increasing

3 0
1 year ago
Dennis can walk 2.833 miles each hour . About how far can he walk in 3 hours and 15 minutes
Bezzdna [24]

well, let's split the hours in minutes, so since 1 hr is 60 minutes, so he can walk 2.833 miles in 60 minutes, well, 3 hrs is 3*60 = 180 minutes, then we add 15 minutes, that's 195 minutes.

if he can walk 2.833 miles in 60 minutes, how long will it be for 195 minutes?

\bf \begin{array}{ccll} miles&minutes\\ \cline{1-2} 2.833&60\\ x&195 \end{array}\implies \cfrac{2.833}{x}=\cfrac{60}{195}\implies \cfrac{2.833}{x}=\cfrac{4}{13} \\\\\\ 36.829=4x\implies \cfrac{36.829}{4}=x\implies 9.20725 = x

4 0
3 years ago
Look at the triangle below which of the following represents two of the angle measures of the triangle
Gelneren [198K]

Answer:

C. 60° and 80°

Step-by-step explanation:

Sum of triangle = 180°

Therefore,

8x + 4 + 6x - 2 + 10x + 10 = 180

Add like terms

8x + 6x + 10x + 4 - 2 + 10 = 180

24x + 12 = 180

24x = 180 - 12

24x = 168

x = 168/24

x = 7

Find each measure of the angles by substitute x = 7 into each expression

8x + 4 = 8(7) + 4 = 60°

6x - 2 = 6(7) - 2 = 40°

10x + 10 = 10(7) + 10 = 80°

The answer is 60° and 80°

6 0
3 years ago
If the atomic number of an element is 7 and its mass number is 16, how many neutrons are in the atom's nucleus
Margaret [11]
Number of Neutrons = Atomic mass - Atomic number 
= 16 - 7 = 9

In short, Your Answer would be 9

Hope this helps!
7 0
3 years ago
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