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3 years ago

Write an equation to represent the following statement.

Mathematics

2 answers:

Anna007 [38]3 years ago

4 0

K=6, 6 * 4 = 24 once you see it a little bit more it gets easier

joja [24]3 years ago

3 0

Answer:

k=6

Step-by-step explanation:

you should just have to divide 24 by 4. making k equal 6

You might be interested in

What are the values of a and b

makvit [3.9K]

Answer:

$\large\boxed{B.\ a=8,\ b=4\sqrt5}$

Step-by-step explanation:

We have three similar triangles:

$\triangle ABC\sim\triangle DBA\sim\triangle DAC$

therefore the sides are in proportion:

$\dfrac{AD}{CD}=\dfrac{BD}{AD}$

We have AD = a, CD = 16 and BD = 4. Substitute:

$\dfrac{a}{16}=\dfrac{4}{a}$ cross multiply

$(a)(a)=(16)(4)\\\\a^2=64\to a=\sqrt{64}\\\\a=8$

and other proportion:

$\dfrac{AB}{BC}=\dfrac{BD}{AB}$

We have AB = b, BC = 16 + 4 = 20 and BD = 4. Substitute:

$\dfrac{b}{20}=\dfrac{4}{b}$ cross multiply

$(b)(b)=(20)(4)\\\\b^2=80\to b=\sqrt{80}\\\\b=\sqrt{16\cdot5}\\\\b=\sqrt{16}\cdot\sqrt{5}\\\\b=4\sqrt{5}$

3 0

3 years ago

Find b, given that a = 20, angle A = 30°, and angle B = 45° in triangle ABC

Kamila [148]

The side b is opposite to the angle B, applying the law of the sines, we have:

 $\frac{a}{sinA} = \frac{b}{sinB}$
$\frac{20}{sin30^0} = \frac{b}{sin45^0}$
$\frac{20}{ \frac{1}{2} } = \frac{b}{ \frac{ \sqrt{2} }{2} }$
$20* \frac{ \sqrt{2} }{2} = b* \frac{1}{2}$
$\frac{20 \sqrt{2} }{2} = \frac{b}{2}$
$2*b =2*20 \sqrt{2}$
$2b = 40 \sqrt{2}$
$b = \frac{40 \sqrt{2} }{2}$
$\boxed{b = 20 \sqrt{2} }$

6 0

3 years ago

Read 2 more answers

{3x - 2y = 10 {2x + 3y = 11

Softa [21]

Hi there!

»»————-　★　————-««

I believe your answer is:

(4, 1)

»»————-　★　————-««

Here’s why:

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