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3 years ago

$18.99 CD; 15% discount

Mathematics

1 answer:

jekas [21]3 years ago

8 0

Answer:

15% discount is

15/100 × 18.99 = 2.85

The sale price with discount is 18.99 - 2.85 = 16.14

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What is the equation of the line whose graph is parallel to the graph of y=3x-10

TEA [102]

Hello,

y=3x+b is parallele to y=3x-10
In order to determine b, we must know something else.

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3 years ago

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

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

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4 years ago

Is it possible for the two triangles described below to be similar? Two angles of one triangle measure 60° and 70°. Two angles o

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

Similar triangles have angles with the same measures.

angles in the first triangle are 50°, 60°, 70°.

angles in the second triangle are 50°, 50°, 80°.

The angles do not have the same values, so the triangles cannot be similar.

_____

<em>Comment on the question</em>

When 2 of the three angles are different, the third angle cannot make the triangles similar. We don't even need to compute the third angle to answer this question.

5 0

3 years ago

A lawyer commutes daily from his suburban home to his midtown office. The average time for a one-way trip is 24 minutes, with a

gogolik [260]

Answer:

Step-by-step explanation:

a) Probability-Above 30 min = 5.72% = .0572

b) Probability-Above 15 min = 99.11% = .9911

c) *Probability-Between 1 - 59.49% = .4051

d) 19.136 minutes z = -1.28

7 0

3 years ago

H(t) = –16t2 + 14t find the maximum height

guajiro [1.7K]

The height is represented as y and the time is represented as x.

To find the maximum height (since this is a parabola that faces downwards) we need to find the vertex.

Vertex (x) = $\frac{-(b)}{2a}$

b = 14
a = -16

Substitute
$\frac{-14}{2(-16)} = \frac{-14}{-32} = \frac{7}{8}$

Now plug 7/8 to t
-16(7/8)^2 + 14(7/8)
-16(49/64) + 14(7/8)
-12.25 + 12.25
Answer: 0 ft

5 0

3 years ago

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