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3 years ago

What does (2m + 7) - (3 - 4m) equal

Mathematics

1 answer:

yaroslaw [1]3 years ago

5 0

(2m + 7) - (3 - 4m) = 2m + 7 - 3 + 4m = (2m + 4m) + (7 - 3)

= <u>6m + 4</u>

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Leto [7]

Answer:

x^2 = 9

Step-by-step explanation:

Both 3 and -3 are 9 when squared.

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2 years ago

Find the height of the triangle by applying formulas for the area of a triangle and

lina2011 [118]

Answer:

Step-by-step explanation:

a= 12 mm ; b = 16 mm ; c = 18 mm

s = (a + b+c)/2

$=\dfrac{12 + 16 + 8}{2}\\\\= \dfrac{36}{2}\\\\= 18\\\\$

s -a = 18 - 12 = 6 mm

s -b = 18 - 16 = 2 mm

s -c = 18 - 8 = 10 mm

$area = \sqrt{s(s -a)(s-b)(s-c)}$

$= \sqrt{18*6*2*10}\\\\= \sqrt{2160 }\\\\=46.47\\\\=46 \ mm^{2}\\$

$\dfrac{1}{2}* \ base * \ height = 46\\\\\dfrac{1}{2}*16* \ height = 46\\\\height = \dfrac{46*2}{16}\\\\$

= 5.75

Height = 5.8 mm

8 0

2 years ago

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A 20 ft. ladder is used against a 15 ft. wall. What is the measure of the angle made by the ladder and the ground (nearest whole

Brrunno [24]

Step-by-step explanation:

Given that,

The length of a ladder, H = 20 feet

The height of the wall, h = 15 ft

We know that,

$\sin\theta=\dfrac{h}{H}$

h is perpendicular and H is hypotenuse

So,

$\sin\theta=\dfrac{15}{20}\\\\\theta=\sin^{-1}(\dfrac{15}{20})\\\\\theta=48.59^{\circ}$

Now using Pythagoras theoerm,

$b=\sqrt{H^2-h^2}\\\\b=\sqrt{20^2-15^2}\\\\b=13.2\ ft$

Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.

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3 years ago

Work out the size of the interior angle of a regular 18-sided polygon.

qaws [65]

Answer:

160°

Step-by-step explanation:

The formula below gives the measure of an interior angle of a regular polygon of n sides.

[(n - 2)180]/n

[(18 - 2)180]/18

16(10)

160

Answer: 160°

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2 years ago

Can someone help me in this please???

MArishka [77]

The first one is 15 mornings

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3 years ago

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