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notka56 [123]
1 year ago
11

Given right triangle def, what is the value of sin(e)? three-fifths three-fourths four-fifths four-thirds

Mathematics
1 answer:
ella [17]1 year ago
7 0

The value of sin(e) in the given right angle triangle DEF is 3/5

Given the Right angle DEF,

It is not specified whether angle D= angle F =90°.

Based on the alternatives presented, either base and altitude =3 or 4 and

5 is the hypotenuse.

Case 1. When ∠D=90° In Δ E D F

Sin (E) =altitude/hypotenuse

= 3/5  OR 4/5 [ if base=3, then altitude =4 and if Base =4, Altitude=3]

Case 2. When ∠F=90°, In ΔEFD

Sin (E) =altitude/hypotenuse

= 3/5 or 4/5 [Depending on whether Base =3 then altitude  =4, OR Altitude =3 , then Base =4]

Looking at all of the possibilities, 3/5 and 4/5 are accurate.

However, the solution is 3/5, so whether you pick angle D or angle F as 90°, take Altitude=3, Hypotenuse =5, and Base=4.

Learn more about the right triangle here: brainly.com/question/1248322

#SPJ4

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12% is the markup and 7.99 is the average cost how much will it cost after the markup
jolli1 [7]

as it is a markup, you multiple the cost by 1.12 (the 1 shows that the cost is increasing). the new cost is 8.9488 or $89.95 if you round.

8 0
3 years ago
What is the answer for x+4=4x-17
sveta [45]

Answer: x=7

Step-by-step explanation:

×+4=4×-17

×-4×=-17-4

-3×=-21

×=-21/-3

×=7

6 0
4 years ago
An icicle with a diameter of 15.5 centimeters at the top, tapers down in the shape of a cone with a length of
Helga [31]

Answer:

Step-by-step explanation:

Note: I will leave the answers as fraction and in terms of pi unless the question states rounding conditions to ensure maximum precision.

From the question, we can tell it is a inversed-cone (upside down)

Volume of Cone = \pi r^{2} \frac{h}{3}

a) Given Diameter , d = 15.5cm and Length , h = 350cm,

we first find the radius.

r = \frac{d}{2} \\=\frac{15.5}{2} \\=7.75cm

We will now find the volume of the cone.

Volume of cone  \pi (7.75)^{2} \frac{350}{3} \\= \frac{168175\pi }{24}

We know the density of ice is 0.93 grams per 1cm^{3}

1cm^{3} =0.93g\\\frac{168175\pi }{24}  cm^{3} =0.93(\frac{168175\pi }{24} )\\= 20473 g(Nearest Gram)

b) After 1 hour, we know that the new radius = 7.75cm - 0.35cm = 7.4cm

and the new length, h = 350cm - 15cm = 335cm

Now we will find the volume of this newly-shaped cone.

Volume of cone = \pi (7.4)^{2} \frac{335}{3} \\= \frac{91723\pi }{15} cm^{3}

Volume of cone being melted = New Volume - Original volume

= \frac{168175\pi }{24} -\frac{91723\pi }{15} \\= \frac{35697\pi }{40} cm^{3}

c) Lets take the bucket as a round cylinder.

Given radius of bucket, r = 12.5cm (Half of Diameter) and h , height = 30cm.

Volume of cylinder = \pi r^{2} h\\=\pi (12.5)^{2} (30)\\=\frac{9375\pi }{2} cm^{3}

To overflow the bucket, the volume of ice melted must be more than the bucket volume.

Volume of ice melted after 5 hours = 5(\frac{35697\pi }{40} )\\=\frac{35697\pi }{8} cm^{3}

See, from here of course you are unable to tell whether the bucket will overflow as all are in fractions, but fret not, we can just find the difference.

Volume of bucket - Volume of ice melted after 5 hours

= \frac{9375\pi }{2} -\frac{35697\pi }{8 } \\=\frac{1803\pi }{8}cm^{3}

from we can see the bucket can still hold more melted ice even after 5 hours therefore it will not overflow.

4 0
2 years ago
There are 27 campers. This is nine times
RideAnS [48]
3 because if you think about it, it's pretty much asking 
what number multiplied by 9 will give you 27. 
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8 0
4 years ago
Read 2 more answers
Ill mark brainlest plz help asap
solniwko [45]
<h3>Answer:  $7.99</h3>

Explanation:

Pick any point listed and divide the y coordinate over the x coordinate.

The simplest choice is the point where x = 1

y/x = (7.99)/(1) = 7.99

Or we could say something like

y/x = (95.88)/(12) = 7.99

3 0
3 years ago
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