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Aloiza [94]
3 years ago
12

Find x in this right triangle

Mathematics
1 answer:
Anna11 [10]3 years ago
8 0

<u>Since the </u><u>triangle</u><u> is right angled, we may use pythagoras theorem to find the third side.</u>

<u>Pythagoras theorem :-</u>

KI^2 + JI^2 = KJ^2

<u>substituting the known values in the formula,</u>

x^2 + 3^2 = 5^2

x^2 + 9 = 25

x^2 = 25 - 9

x^2 = 16

x = √16

x = 4

______________________

•°• value of x is 4cm

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The square of x increased by the cube of y
Aloiza [94]
Answer:  This phrase is expressed as follows:
________________________________________________________
                        " x²  +  y³ " .
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3 0
4 years ago
Who Smokes More: Male Students or Female Students? Information on a sample of 362 college students is collected. The complete da
KatRina [158]

Answer:

difference in the proportion = 0.0452

Step-by-step explanation:

x1 = 27, n1 = 193,

p1 = 27/193

p1 = 0.1399

x2 = 16, n2 = 169,

p2 = 16/169

p2 = 0.0947

a) The best estimate for the difference in the proportion of smokers, using male proportion minus female proportion is 0.0452. Male smokes more than females in given sample.

p1 - p2 = 0.1399 - 0.0947

p1 - p2 = 0.0452

7 0
3 years ago
For what value of “a”are the graphs of 5y = -2x + 10 and 3y = aX- 15 parallel
Pie

Answer:

a = -6/5

Step-by-step explanation:

For the graphs to be parallel the graphs should have same slope(m)

So we rewrite both our equations in the slope-intercept form then compare the slope to find the value of a like this,

y=mx+b

This equation is the slope-intercept form we convert both our equations in this form firstly taking equation 1

5y=-2x+10\\\\y=\frac{-2x+10}{5} \\\\y=\frac{-2}{5}x+\frac{10}{5} \\\\y=\frac{-2}{5}x+2

so if we compare it with y = mx + b the coefficient of x is m and hence

m= -2/5 now solving for equation 2

3y=ax-15\\\\y=\frac{ax-15}{3} \\\\y=\frac{ax}{3}-\frac{15}{3}  \\\\y=\frac{a}{3}x-5\\\\

so here if we compare it with y = mx + b the coeffienct of x is a/3 so since parallel lines have same slope by the formula:

m_1=m_2

we equation both the slope to each other to find the value of a like this,

m_1=m_2\\\\\frac{-2}{5}=\frac{a}{3}\\\\-2(3)=a(5)\\\\-6=5a\\-6/5=a

so the value of a equals

a= -6/5

8 0
3 years ago
A rectangular prism and a square pyramid were joined to form a composite figure.
azamat

Answer:

B. 333 in.2

Step-by-step explanation:

The area of the base is 81^2

lateral is 45 x 4 = 180^2  (9x5x4)

180^2 add the 72 pyramid = 252^2 + base of 81^2 = 333^2

Composite figueres i do like this as shown to you a few seconds ago.

The triangle shows us just the height

4 inches

We can see that height is smaller central isosceles height across the center base point.

We also can remember to use the length 9inches but divide by 2 and get each triangle area this way.

4 x 1/2 base = 4x 1/2 4.5 = 4 x 2.25 = 9^2 each right side triangle

9 x 8 = 72^2

we add the areas 72+ 81+lateral 180 = 333 inches^2

8 0
3 years ago
Given f(x) = 5x + 2 and g(x) = 5x - x5x. What is the value of (f g)(1)?
AlladinOne [14]

Answer:A

Step-by-step explanation:

8 0
2 years ago
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