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2 years ago

Question in the picture below. (30 points)

Mathematics

1 answer:

Elena L [17]2 years ago

3 0

Answer:

there is no picture

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Which number line correctly shows -3-1.5?

Papessa [141]

Pretty sure it’s the 3rd

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3 years ago

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$600is what percent of $1000

GrogVix [38]

Answer:

60%

Step-by-step explanation:

$600 as a percentage of $1000

= (600/1000) x 100%

= 60%

Hope this helps!

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3 years ago

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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

<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%2B1%3D3%5C%5C" id="TexFormula1" title="\sqrt{x} +1=3\\" alt="\sqrt{x} +1=3\\

Eduardwww [97]

Answer:

x = 4

Step-by-step explanation:

√x + 1 = 3

√x = 3 - 1

√x = 2

(√x)² = (2)²

x = 4

4 0

2 years ago

Find the number the comes next 1.2.6,21.88,?

Nataly_w [17]

Answer

455

Step-by-step explanation:

(1×1) + 1 = 2

(2×2) + 2 = 6

(6×3) + 3 = 21

(21×4)+4 = 88

(88×5)+5 = 445

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2 years ago

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