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2 years ago

What is 9-h divided by 1/8; h = 1/3

Mathematics

1 answer:

Anton [14]2 years ago

8 0

Answer:

160/3

9-1

3=21-1/3*8=160/3

1/8

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Given: PRST is a square

xxTIMURxx [149]

Answer:

$(1-\sqrt{2})a^2$

Step-by-step explanation:

Consider irght triangle PRS. By the Pythagorean theorem,

$PS^2=PR^2+RS^2\\ \\PS^2=a^2+a^2\\ \\PS^2=2a^2\\ \\PS=\sqrt{2}a$

Thus,

$MS=PS-PM=\sqrt{2}a-a=(\sqrt{2}-1)a$

Consider isosceles triangle MSC. In this triangle

$MS=MC=(\sqrt{2}-1)a.$

The area of this triangle is

$A_{MSC}=\dfrac{1}{2}MS\cdot MC=\dfrac{1}{2}\cdot (\sqrt{2}-1)a\cdot (\sqrt{2}-1)a=\dfrac{(\sqrt{2}-1)^2a^2}{2}=\dfrac{(3-2\sqrt{2})a^2}{2}$

Consider right triangle PTS. The area of this triangle is

$A_{PTS}=\dfrac{1}{2}PT\cdot TS=\dfrac{1}{2}a\cdot a=\dfrac{a^2}{2}$

The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:

$A_{PMCT}=\dfrac{(3-2\sqrt{2})a^2}{2}-\dfrac{a^2}{2}=\dfrac{(2-2\sqrt{2})a^2}{2}=(1-\sqrt{2})a^2$

5 0

2 years ago

Determine the value of x

Mekhanik [1.2K]

Answer:

2√2

Step-by-step explanation:

By using trigonometry,

sin 45° = x/4

x = 4sin 45°

x = 2√2

By using Pythagorean theorem,

Since you know that it is an isosceles triangle and it's also a right-angled triangle,

4² = x² + x²

16 = 2x²

x² = 8

x = √8

= 2√2

6 0

2 years ago

In JKL. solve for x 66.73 74.89 15.44 38.16

liq [111]

By right triangle trigonometry, the sine of the measure of an angle is the ratio of the opposite side of this angle to the hypotenuse.

Thus, $\displaystyle{\sin27^{\circ}= \frac{34}{x}$

$\sin27^{\circ}$ is a constant which can be found using a calculator:

with calc in pc: view → scientific → 27→sin = 0.45399,

thus x=34/0.45399=74.89

Answer: 74.89

5 0

2 years ago

Order the numbers from least to greatest -3/4, 0.5, 2/3, -7/3, 1.2

BaLLatris [955]

-7/3, -3/4, 0.5, 2/3, 1.2

Brainliest please

5 0

1 year ago

How do you do 01.06 Division with Mixed Numbers?

Sliva [168]

Answer:

1 3/50

Step-by-step explanation:

the .06 is in the hundreths place so it would be 6/100 or 3/50

now add the whole number to it to get 1 3/50

4 0

2 years ago