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Serga [27]
3 years ago
7

65% of 80 is what number

Mathematics
2 answers:
miskamm [114]3 years ago
8 0

Answer:

52

Step-by-step explanation:

We can find the percent of  a number by converting the percent to a decimal.

65%=0.65

80(0.65)=52

grigory [225]3 years ago
7 0

To find 65% of 80, first write 65% as a decimal by moving the decimal point 2 places to the left and we will get .65. Next, the word "of" means multiply, so we have (.65) (80) = 52.

Therefore, 65% of 80 is 52.

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A surveyer wants to find the distance from points A and B and to an inaccessible point C. These three points form a triangle. Be
Vinil7 [7]

Answer:

42.8°

Step-by-step explanation:

The sine rule states that for a triangle with lengths of a, b and c and the corresponding angles which are opposite the sides as A, B and C, then the following rule holds:

\frac{a}{sin(A)}=\frac{b}{sin(B)}  =\frac{c}{sin(C)}

Given that points A, B and C forms a triangle with angle A = 65°, distance from A-to-C = 90 m and the distance from B to C = 120 m.

The distance from A to C is the side opposite to angle B. Hence let b =  distance from A to C = 90 m.

The distance from B to C is the side opposite to angle A. Hence let a =  distance from B to C = 120 m.

Therefore using sine rule:

\frac{a}{sin(A)}=\frac{b}{sin(B)}  \\\\\frac{120}{sin(65)}=\frac{90}{sin(B)}  \\\\sin(B)=\frac{90*sin(65)}{120} \\\\sin(B) =0.6797\\\\B=sin^{-1}(0.6797)\\\\B=42.8^o

7 0
2 years ago
1cm represents 5.4miles on a scale drawing, what distance does 17.1cm on the scale drawing represent in real life.
patriot [66]

Answer:

0.00011

Step-by-step explanation:

5 0
3 years ago
Which line has an equation of y = negative 5 x + 4 in slope-intercept form? a line passing through the points (1, 9) and (3, 19)
skelet666 [1.2K]

Answer:

(2,-6) and (4,-16)

Step-by-step explanation:

-5x+4 crosses these points

5 0
3 years ago
Read 2 more answers
Janelle graphed a line through (−6, 5) that had a slope of −79. What is the y-coordinate of a point on the line that has an x-co
jeyben [28]

Answer:

The value of the y-coordinate is -706

Step-by-step explanation:

The equation of a straight line is;

y = mx + c

where m is slope and c is t-intercept

Given the slope, we can write the equation as;

y = -79x + c

we need to get c

Just put in the x and y values of the given point

X = -6 and y = 5

5 = -79(-6) + c

5 = 474 + c

c = 5-474 = -469

So the complete equation of the line would

be ;

y = -79x - 469

To get the y-coordinate of the point, just insert the x value into the equation;

y = -79(3) - 469

y = -237 - 469 = -706

4 0
3 years ago
What would be the actual length, if the length of the model is 25 ft and the scale factor is less
Sidana [21]

Answer:

20ft

Explanation:

You multiply the model length by the scale factor to find the actual length. <u>If the scale factor is less than zero, then the actual size will be smaller than the model</u>. Therefore, your answer would be 20ft.

Specifically, the scale factor is .8 if the actual size is 20ft, 1 if the actual size is 25ft, and 1.2 if the actual size is 30ft.

6 0
3 years ago
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