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Troyanec [42]
2 years ago
12

Use benchmarks 3\5 + 3\17

Mathematics
2 answers:
nadya68 [22]2 years ago
3 0

Answer:

66/85

Step-by-step explanation:

QveST [7]2 years ago
3 0
3/15 Multiply both top and bottom by 17 to get 51/85
3/17 Multiply both top and bottom by 5 to get 15/85
Add
3/5+3/17
51/85+15/85
66/85
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Complete this factor tree to find the prime factors of 492
damaskus [11]

Answer:

246

Step-by-step explanation:

next time use a calculator

divide 492 by 2 and you get 246

divide that by 2 and you get 123

and divide that  by 3 and you get 41

4 0
2 years ago
Read 2 more answers
If a vertical line is dropped from the x-axis to the point (12, –9) in the diagram below, what is the value of sec?
dem82 [27]

Answer:

Value of \sec \theta = \frac{5}{4}

Step-by-step explanation:

Given: A vertical line is dropped from the x-axis to the point (12, -9) as shown in the diagram below;

To find the value of \sec \theta.

By definition of secants;

\sec \theta = \frac{1}{\cos \theta}

Now, first find the cosine of angle \theta

As the point (12 , -9) lies in the IV quadrant , where \cos \theta > 0

Consider a right angle triangle;

here, Adjacent side = 12 units and Opposite side = -9 units

Using Pythagoras theorem;

(Hypotenuse side)^2= (12)^2 + (-9)^2 = 144 + 81 = 225

or

Hypotenuse = \sqrt{225} =15 units

Cosine ratio is defined as in a right angle triangle, the ratio of adjacent side to hypotenuse side.

\cos \theta = \frac{Adjacent side}{Hypotenuse side}

then;

\cos \theta = \frac{12}{15} = \frac{4}{5}

and

\sec \theta = \frac{1}{\cos \theta}= \frac{1}{\frac{4}{5}} = \frac{5}{4}

therefore, the value of \sec \theta is, \frac{5}{4}

5 0
3 years ago
Read 2 more answers
Jack collected 31.1 pounds of cans to recycle and plans to collect 5.9 more pounds each week. Write an equation in slope-interce
butalik [34]

Answer:36.10

Step-by-step explanation: add 31+5= 36 the other one 1 +9 = 10 that's the answer please mark me as brainlest

8 0
2 years ago
Please help, I’ve been stuck on this question for about a hour now.
Hoochie [10]
6x + 5x + (x + 16) + (3x - 1) = 360
11x + x + 16 + 3x - 1
15x + 15 = 360
15x = 345
x = 23


6(23) = 138
((23) + 16) = 39
(3(23) - 1) =68
5(23) = 115

138 + 39 + 68 + 115 = 360
7 0
3 years ago
What is the slope of the line that passes through the points (9,4) and (9,-5)?
jeka94

Answer:

undefined

Step-by-step explanation:

4- -5/9-9

9/0

undefined

6 0
3 years ago
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