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3 years ago

44.88 divided by 1.2

Mathematics

1 answer:

oee [108]3 years ago

8 0

37.4

I hope this helps;)

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Given: △FKL, FK=a

LuckyWell [14K]

Answer:

$FL= \frac{a (\sqrt{3} + 1)}{\sqrt{2} }$

Step-by-step explanation:

As given in figure 1 below:

FK = a, m∠F = 45° and m∠L = 30°

Construction: Draw an altitude KE from point K on FL.

Now, In ΔFEK,

FE = EK (Sides opposite to equal angles of a triangle)

Let FE = EK = x

Now, using pythagoras In ΔFEK,

$(FK)^{2} = (FE)^{2} + (KE)^{2}$

$(a)^{2} = (x)^{2} + (x)^{2}$

$(a)^{2} = 2x^{2}$

$x = \sqrt \frac{a^{2} }{2} = \frac{a}{\sqrt{2} }$

∴ FE = EK = $\frac{a}{\sqrt{2} }$

Now in ΔEKL, EK = $\frac{a}{\sqrt{2} }$

Using trigonometry ratio,

TanФ = Altitude\ Base

$Tan \theta = \frac{KE}{EL}$

Tan 30° = $\frac{a/\sqrt{2} }{EL}$

$\frac{1}{\sqrt{3} } = \frac{a}{\sqrt{2} EL}$

$EL = \frac{\sqrt{3}a}{\sqrt{2} }$

Now FL = FE + EL

FE = $\frac{a}{\sqrt{2} }$ and $EL = \frac{\sqrt{3}a}{\sqrt{2} }$

∴ $FL = \frac{a}{\sqrt{2} } + \frac{\sqrt{3}a }{\sqrt{2} } = \frac{a (\sqrt{3} + 1)}{\sqrt{2} }$

4 0

4 years ago

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

alexira [117]

Answer:

Option B

Step-by-step explanation:

Given quadratic equation is,

12a² + 9a + 7 = 0

By comparing this equation with standard quadratic equation,

hx² + kx + c = 0

h = 12, k = 9 and c = 7

By using quadratic formula,

a = $\frac{-k\pm\sqrt{k^2-4hc}}{2h}$

= $\frac{-9\pm\sqrt{9^2-4(12)(7)}}{2(12)}$

= $\frac{-9\pm\sqrt{81-336}}{2(12)}$

= $\frac{-9\pm\sqrt{-255}}{24}$

= $\frac{-9\pm i\sqrt{255}}{24}$

a = $\frac{-9+ i\sqrt{255}}{24},\frac{-9- i\sqrt{255}}{24}$

Therefore, Option B will be the correct option.

3 0

3 years ago

Find the probability of making the spins of spinning a letter, then a 4, then a C.

vazorg [7]

Answer:

1/216

Step-by-step explanation:

3 0

3 years ago

If it take 10 hours to get 50% how many hours are 32%

love history [14]

ANSWER

6.4 hours

EXPLANATION

if it takes 10 hours to get 50%, then it will take less number of hours to get 32%

We use proportion to solve this question.

If less more divides.

The number of hours it will take to get 32% is

$= \frac{32\% \times 10}{50\%}$

$= 6.4$

Hence it will take 6.4 hours to get 32%

8 0

3 years ago

Blair's hair supply is known for their fabric headbands. each headband comes in a vibrant color and costs $2.70. during the spri

telo118 [61]

The Answer:

2.70h=202.50

3 0

2 years ago