Which ratio is equivalent to the ratio 10:9? A 40 to 27 B 30:36 C 36 to 30 40:36

Mathematics

1 answer:

Svetlanka [38]2 years ago

8 0

The answer that you are looking for is A. 40 to 27

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I am having trouble with this problem. I need to find the lengths of this right triangle. How would you do this?

podryga [215]

You labeled the triangle wrong sides 'a' and 'b' are supposed to be the sides that make the right angle. the other side is called the hypotenuse which is the longest side which you should have labeled 'c'

so Pythagorean theorem says
a^2+b^2=c^2
so
(2x+1)^2+(11x+5)^2=(12x+1)^2
distribute
(4x^2+4x+1)+(121x^2+110x+25)=(144x^2+24x+1)
add like terms
125x^2+114x+26=144x^2+24x+1
subtract 125x^2 from both sides
114x+26=19x^2+24x+1
subtract 114x from both sides
26=19x^2-90x+1
subtract 26 from both sides
0=19x^2-90-25
factor
(x-5)(19x+5)=0
therefor x-5=0 and/or 19x+5=0
so
x-5=0 add 5 to both sides
x=5
19x+5=0
subtract 5 from both sides
19x=-5
divide both sides by 19
x=-5/19
since side legnths can't be negative, we can cross this solution out

so x=5
subtitute
1+2x
1+2(5)
1+10=11
side a=11

11x+5
11(5)+5
55+5=60
side b=60

12x+1
12(5)+1
60+1=60
side c=61
add them all up
side a+b+c=11+60+61=132=total legnth

5 0

3 years ago

Kyla makes a triangular school pennant. The area of the triangle is 180 square inches. The base of the pennant is z inches long.

HACTEHA [7]

I took the test, the answer is C, 30.

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3 years ago

Read 2 more answers

A Table showing Freezing Temperatures in degrees with 2 columns and 6 rows. The First row, F, has the entries, negative 13, nega

Yuki888 [10]

Answer:

5F + -9 C= 160 39°F = 3.9

Step-by-step explanation:

A Table showing Freezing Temperatures in degrees with 2 columns and 6 rows. The First row, F, has the entries, negative 13, negative 4, 5, 14, 23. The second column, C, has the entries, negative 25, negative 20, negative 15, negative 10, negative 5.

The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.

5F + -9 C = 160

39°F = 3.9°C rounded to the nearest tenth of a degree

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3 years ago

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Find the measure of angle x. Round your answer to the nearest hundredth. (Numeral answers only)

gregori [183]

Sin (Angle) = Opposite / Hypotenuse

Sin (X) = 8/17

X = Arcsin(8/17)

X = 28.07 degrees.

6 0